This my lil sis work help her

This My Lil Sis Work Help Her

Answers

Answer 1

Answer:

Option D is your answer

Answer 2

answer:

d

step-by-step explanation:

here i will show you how to convert the improper fraction 18/15 to a mixed number (aka mixed fraction). we start by setting up the fraction below.

\(\frac{18}{15}\)

step 1 - find the whole number

calculate out how many times the denominator goes into the numerator. to do that, divide 18 by 15 and keep only what is to the left of the decimal point:

18 / 15 = 1.2000 = 1

step 2 - find the new numerator

multiply the answer from step 1 by the denominator and deduct that from the original numerator.

18 - (15 x 1) = 3

step 3 - put it together

keep the original denominator and use the answers from step 1 and step 2 to get this:

 

1 \(\frac{3}{15}\)

good luck :)

i hope this helps

have a nice day !


Related Questions

What is the domain of the function graphed below?
O(-2, ∞) O(-3,4] and [7, ∞). O(-∞,4). O [-2,0] and (7, ∞)

What is the domain of the function graphed below?O(-2, ) O(-3,4] and [7, ). O(-,4). O [-2,0] and (7,

Answers

Using it's concept, it is found that the domain of the function graphed below is given by:

\((-2,4]\) and \([7, \infty)\).

What is the domain of a function?

It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.

In this problem, x assumes values greater than -2 and less or equal than 4, and then values of 7 or greater, hence the domain is given by:

\((-2,4]\) and \([7, \infty)\).

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Suppose an arrow is shot upward on the moon with a velocity of 58 m/s, then its height in meters after t seconds is given by h(t)=58t−0.83t^2 . Find the average velocity over the given time intervals.
[6, 7]: [6, 6.5]: [6, 6.1]: [6, 6.01]: [6, 6.001]:

Answers

Answer:

6,6.5

Step-by-step explanation:

Jackson gets paid $4,850 per month. He pays $1,552 a month for rent. What percent of his monthly pay goes to rent?

Answers

Answer:

32%

Step-by-step explanation:

1552 / 4850 = 0.32

Write each quotient as a single power.

Write each quotient as a single power.

Answers

\(a)\frac{-3^4}{3^4} = -3^{4-4} = -1\)

\(b)\frac{(-9)^{10}}{(-9)^5} = (-9)^{10-5}= (-9)^5\)

\(c)\frac{11^9}{11^6} = 11^{9-6} =11^3\)

ok done. Thank to me :>

Quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation. If TY = 2, find RM.

Answers

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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d) A movie time was 2hours. 10% of the time was taken advertisement. How long was the actual movie? ​

Answers

Answer:

108 minutes

Step-by-step explanation:

Lets say that M+A is the time of the movie and the advertisement, so;

M+A = 2

And we know that 10% of that time is advertisement, mathematically that is:

A = 0,1*2

So replacing the second equation in the first one we have;

M + 0,1*2 = 2

M = 2-0,1*2 = 1,8 hours

We can convert hours into minutes multiplying by 60

1,8h*60min/h = 108min

PLEASE HELP
2n-200 but n = 150

Answers

Answer:

Just plug in where n is= 150 then solve the answer is 100

Step-by-step explanation:

2(150)-200

The answer is 100
N=150
So 2 times 150 is 300
300 minus 200 is 100

explain why A*B*C and (A*B)*C are not same

Answers

The difference is in the operator precedence (order of operations) in both expressions. The result of the expression is evaluated on the basis of the different order. In the first expression, b * c is evaluated firstly, and in the second expression, the brackets facilitate the sum of a and b, followed by the multiplication by c. For example, if a = 2, b = 3, c = 4, the expressions will be evaluated as follows:

a + b*c = 2 + 3*4 = 2 + 12 = 14

(a + b) * c = (2 + 3) * 4 = 5 * 4 = 20



give
given the slope of the line and one point that it passes through represent the equation of the line in point slope form then rewrite the equation in slope intercept form.

part A: (-4,7);m=-3/4

Answers

Slope intercept form needs two things. The slope and y-intercept.

y = mx + b

m = the slope

b = y-intercept.

In this problem, we are given the slope and a point the line passes through.

m = -3/4

So far we have y = -3/4x + b

To find b, we need to plug the point into the line.

-4 is the x-coordinate, so we plug -4 into x

7 is the y-coordinate, so we plug 7 into y

7 = -3/4(-4) + b

Simplify.

7 = 3 + b

Subtract 3 from both sides.

4 = b

Our equation is: y = -3/4x + 4

The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is  y = (-3/4) x + 4.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

(-4,7);m=-3/4

The equation of a linear line in point-slope point is given as,

y = mx + c

Put (-4,7);m=-3/4

7 = -3/4 (-4) + c

c = 7 - 3 = 4

Thus equation will be as, y = (-3/4) x + 4

Hence "The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is y = (-3/4) x + 4".

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A private museum charges $40 for a group of 10 or fewer people. A group consisting of more than 10 people must, in
addition to the $40, pay $2 per person for the number of people above 10. For example, a group of 12 pays $44. The
maximum group size is 50.
a) How much does a group of 16 pay?
b) Find a formula for the cost function.
c) What are the domain and range of the cost function? (Hint: Use the graph on the calculator)

Answers

Answer:

i hope this helpes

Step-by-step explanation:

a) A group of 16 pays $40 + ($2 x (16 - 10)) = $40 + $6 = $46.

b) The cost function can be represented as C(x) = 40 + 2(x - 10) for x > 10 and C(x) = 40 for x <= 10, where x is the number of people in the group and C(x) is the cost for the group.

c) The domain of the cost function is all non-negative real numbers less than or equal to 50 (0 <= x <= 50), since the maximum group size is 50. The range of the cost function is all non-negative real numbers greater than or equal to 40 (C(x) >= 40), since the minimum charge for a group is $40.

Answer:

a) $52

b) C(x) = 40 + 2x, if x > 10 and x ≤ 50

C(x) = 40, if x ≤ 10

c) Domain = {x ≥ 1 and x ≤ 50}

Range = { from 40 to 140}

Find the distance between the points P and Q shown.

Find the distance between the points P and Q shown.
Find the distance between the points P and Q shown.

Answers

The distance between points P and Q is √73

How to find the distance between the two points?

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Write 1.5 : 6 as a whole number ratio in it's simplest from.

Answers

Answer: 1.5 : 6 = 1 : 4

Step-by-step explanation: Change values to whole numbers.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.

We then have:

1.5 : 6 = 15 : 60

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 15 and 60 is 15

Divide both terms by the GCF, 15:

15 ÷ 15 = 1

60 ÷ 15 = 4

The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :

15 : 60 = 1 : 4

Therefore:

1.5 : 6 = 1 : 4

The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?

The graph compares the weights in pounds of 100 dogs and cats that are brought into a veterinarian's

Answers

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Suppose that the probability distribution for birth weights is normal with a mean of 120 ounces and a standard deviation of 20 ounces. The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is [ Select ] 68%. The probability that a randomly selected infant has a birth weight between 110 and 130 is [ Select ] 68%.

Answers

Answer:

The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is 68%.

The probability that a randomly selected infant has a birth weight between 110 and 130 is 38%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 120 ounces and a standard deviation of 20 ounces.

This means that \(\mu = 120, \sigma = 20\)

The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is

p-value of Z when X = 140 subtracted by the p-value of Z when X = 100.

X = 140

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{140 - 120}{20}\)

\(Z = 1\)

\(Z = 1\) has a p-value of 0.84

X = 100

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{100 - 120}{20}\)

\(Z = -1\)

\(Z = -1\) has a p-value of 0.16

0.84 - 0.16 = 0.68

The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is 68%.

The probability that a randomly selected infant has a birth weight between 110 and 130

This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 110.

X = 130

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{130 - 120}{20}\)

\(Z = 0.5\)

\(Z = 0.5\) has a p-value of 0.69

X = 110

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{110 - 120}{20}\)

\(Z = -0.5\)

\(Z = -0.5\) has a p-value of 0.31

0.69 - 0.31 = 0.38 = 38%.

The probability that a randomly selected infant has a birth weight between 110 and 130 is 38%.

Advertising. I know I have to write about advertising. What do I know about advertising? I know you have to market a product to a specific audience.
Advertising is used to sell things like soft drinks or cars. I think I need to narrow down my choices of what to advertise Advertisements can be written,
heard, or seen. Should I have a visual advertisement on a new brand of energy drink? Which prewriting strategy is shown above? (4 points)
• Brainstorming
O Freewriting
O Clustering
Journalist Questions

Answers

Answer:

i think brainstorming

Step-by-step explanation:

Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.

Answers

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Peggy and her mom have been living alone in an island ever since Peggy was born. To keep track of how old her daughter is, every day after Peggy was born, her mom carves a tick mark into a tree.

One day, Peggy's mom counted 2000 tick marks on the tree. How many years old is Peggy, rounded off to the nearest year? Remember that a year has 365 days.

Answers

Answer:

5 years

Step-by-step explanation:

Divide 365 by 2000. The answer is 5.4794. Rounded to the nearest whole it is 5.

Answer:

5 years

Step-by-step explanation:

What we know:

- 2000 days passed (since each tick mark represents a day)

- One year has 365 days

Let \(x\) represent the number of years that passed.

If each year has 365 days, 365 multiplied by the number of years that passed should equal 2000.

\(365x=2000\)

Divide both sides by 365 to isolate x

\(\frac{365x}{365} =\frac{2000}{365}\)

\(x\) ≈ \(5\)

Therefore, Peggy is 5 years old.

I hope this helps!

Please help if you can thanks

Please help if you can thanks

Answers

The probability that:

(a) 47 or more products fail is approximately 0.9525.(b) 58 or fewer products fail is approximately 0.5250.(c) 5 or more products succeed is approximately 0.7151.(d) 10 products succeed is approximately 0.3522.

How to find probability?

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

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i need the whole problem done and i don’t understand, i need a step by step to show my work. its at 12. PLS HELP

i need the whole problem done and i dont understand, i need a step by step to show my work. its at 12.

Answers

The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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How do I solve this diagram map? Diagram shows the following:
1 - 3
2 - 5
3 - .....?
?..... - 17
10 - ......?
100 - ......?

Answers

The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201

Given that,
To complete the map diagram,

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,

10th = 21
100th = 2001


For the value 17

17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,

Thus, The complete diagram map has been shown.

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What’s (-6 - 4) divided by (-5)

Whats (-6 - 4) divided by (-5)

Answers

Answer:

in fraction form is 6/20 in decimal form its 0.3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

(-6 - 4) ÷ -5 = 2

The first one is wrong but i need someone to answer all of these questions, you don't understand how much i need these. PLEASE HELP

The first one is wrong but i need someone to answer all of these questions, you don't understand how

Answers

1)

The side DE measures 6cm.

Given,

ΔABC similar to ΔDEF by the property Side - Side - Side.

Then,

AB/DE = BC/EF = AC/DF..........(1)

In ΔABC,

AB= 9cm

BC = 18 cm

In ΔDEF

Let,

DE= x cm

EF = 12 cm

Substituting the values in (1)

9/x  = 18/12

x = 6 cm

Hence the length of side DE is 6 cm.

2) The side GJ measures 1.8cm.

Given,

ΔKJL similar to ΔHGJ by the property Side - Side - Side.

Then,

KJ/HG = JL/GJ = KL/HJ..............(2)

In ΔKJL ,

KJ = 2.4 cm.

JL = 1.2cm.

KL = 2.4cm.

In ΔHGJ,

Let,

GJ = x cm.

HJ = 3.6 cm.

Substitute the values in (2)

2.4/3.6  =  1.2/ x

x = 1.8 cm.

3)  The congruent angles are ∠A = ∠D , ∠B = ∠E, ∠C = ∠F and corresponding sides are AB and DE , BC and EF, CA and FD.

Given two triangles are congruent in nature.

Then ,

In ΔABC and ΔDEF,

∠A= ∠D = 120°

∠B = ∠E = 10°

∠C = ∠F = 40°

Corresponding sides in ΔABC and ΔDEF are,

AB and DE, BC and EF, CA and DF.

Thus,

congruent angles are ∠A and ∠D, ∠B and ∠E  , ∠C and ∠F.

corresponding sides will be AB and DE , BC and EF, CA and FD.

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A sight-seeing tour bus can carry 68 people. If 330 people want to go sight-seeing on the bus, what is the minimum number of trips the bus will have to make to accommodate everyone?

Answers

The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

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Question 2 (1 point) What is the equation in slope-intercept form of the line that passes through the point (-4,0) and is perpendicular to the line represented by y=-3x - 1? O a y - () = -(x + 4) Ob y - 0) = (x + 4) y - 4 = -x-0) y + 4 = (x - 0)​

Answers

Step-by-step explanation:

Given parameters:

 Coordinate = (-4, 0)

Equation of the line given; y = -3x - 1

Unknown:

The equation of the line perpendicular to this = ?

Solution:

To find the equation of the line perpendicular to the given line, we need to obtain the value of the slope from this equation first.

  The slope of the perpendicular line will be the negative inverse of the one given;

  Every straight line can be written as;

                               y  = mx + c

Given line;

                               y = -3x - 1

  the slope of this line = -3

A perpendicular line to this line will have a slope of;

                         \(\frac{1}{3}\) a negative inverse of (-3)

Now,

       Let us go ahead and find the intercept c;

    y = mx + c

    0 =  \(\frac{1}{3}\) x (-4) + c

          c= \(\frac{4}{3}\)

insert parameters:

       y =  \(\frac{1}{3}\)x +  \(\frac{4}{3}\)

Multiply through by 3;

        3y = x + 4

The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.

Answers

The values of the two integers are -43 and -143.

What are the values of the two integers?

Let the value of the smaller integer be "x".

Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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Write the equation of the circle in standard form
X^2+y^2-8x-6y+16=0

Show work

Answers

The equation of the circle x² + y² - 8x - 6y + 16 = 0 in standard form is (x - 4)² + (y - 3)² = 3².

What is the equation of the circle in standard form?

Given the equation of the circle ;

x² + y² - 8x - 6y + 16 = 0

To write the equation of a circle in standard form, we need to express it as:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

To do this, we need to complete the square for both x and y terms in the given equation.

Starting with the x terms:

x² - 8x = x² - 8x + 16 - 16

= (x - 4)² - 16

Similarly, for the y terms:

y² - 6y = y² - 6y + 9 - 9

= (y - 3)² - 9

Substituting these results into the original equation, we get:

x² + y² - 8x - 6y + 16 = 0

(x - 4)² - 16 + (y - 3)² - 9 + 16 = 0

Simplifying, we get:

(x - 4)² + (y - 3)² - 9 = 0

(x - 4)² + (y - 3)² = 9

So the equation of the circle in standard form is:

(x - 4)² + (y - 3)² = 3²

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Convert 506 minutes to hours and minutes.

Answers

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

The contingency table below shows the results of a random sample of 400 state
that was conducted to see whether their opinions on a bill are
representatives
related to their party affiliation.
Opinion
Party
Approve
Disapprove
Totals
No
Opinion
Republican
84
40
28
152
Democrat
100
48
36
184
Independent
20
32
12
64
Totals:
204
120
76
400
What is the expected frequency for the cell E3,1? Round your answer to the
nearest tenth.
32.6
45.3
28.9
38.3

The contingency table below shows the results of a random sample of 400 statethat was conducted to see

Answers

Answer:

what is this question man .......

what is (123) plus 87 times 5

Answers

Answer:

see below

Step-by-step explanation:

The answer is 1,050

123+87= 210

210 times 5= 1050

Answer:

558

Step-by-step explanation:

(123)+87 x 5

A sphere has a radius of 24 centimeters. What is its volume in terms of pi?

Answers

Answer:

Concept:

The volume of a sphere is given below as

\(\begin{gathered} V_{\text{sphere}}=\frac{4}{3}\times\pi r^3 \\ \text{where,} \\ r=24cm \end{gathered}\)

By substituting the values, we will have

\(\begin{gathered} V_{\text{sphere}}=\frac{4}{3}\times\pi r^3 \\ V_{\text{sphere}}=\frac{4}{3}\times\pi\times24^3 \\ V_{\text{sphere}}=\frac{4}{3}\times\pi\times13824 \\ V_{\text{sphere}}=\frac{55296\pi}{3}in^3 \\ V_{\text{sphere}}=18432\pi cm^3 \end{gathered}\)

Hence,

The final answer is = 18,432π cm³

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