On Saturday, Emily's mother gave birth to twins and named them Nyra and Ishaan. When they were first born, Nyra weighted
3.96 kilograms , and Ishaan weighed
2.56 kilograms. How much did the babies weigh in total? ​

Answer:

3/4 x 3/4 x 3/4 = 27/64 (twenty-seven / sixty-four)

Answer:

27/64

Step-by-step explanation:

30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.

Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,

⇒ x + y = 60 ⇒ x = 60 - y ----(1),

Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,

⇒ 28% of x + 16% of y = 22% of 60

⇒ 0.28x + 0.16y = 0.22 × 60

⇒ 0.28x + 0.16y = 13.2

⇒ 28x + 16y = 1320

⇒ 14x + 8y = 660

From equation (1),

14(60-y) + 8y = 660

840 - 14y + 8y = 660

6y = 180

y = 30

Again from equation (1),

x = 60 - y

= 60 - 30

= 30

Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%

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Answer:

b. divide both sides by 5/7 or multiply both sides by 7/5

Answer:

a) 0.9641.

b) 0.0082

c) 0.0277

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.

(a) ...to the left of 1.8.

p-value of Z = 1.8, which, looking at the z-table, is of 0.9641.

(b) ...to the right of 2.4.

1 subtracted by the p-value of Z = 2.4.

Looking at the z-table, Z = 2.4 has a p-value of 0.9918.

1 - 0.9918 = 0.0082, which is the answer.

(c) ...between 1.8 and 2.4.

p-value of Z = 2.4 subtracted by the p-value of Z = 1.8.

From itens a and b, we have both. So

0.9918 - 0.9641 = 0.0277

The value of the inverse function f-¹ (3) is (e) 11

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 8

To calculate the inverse value at f-¹ (3)

We set the value to 3

using the above as a guide, we have the following:

x - 8 = 3

Evaluate the like terms

x = 11

Hence, the value of the inverse function is (e) 11

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Complete question

if f(x) = x - 8, what is the value of f-¹ (3)?

Answer: he has 4 apples now

Step-by-step explanation:

He has 12 apples to begin with and he gives away 8 to his friend

So, 12 - 8

This gives you 4

Answer:

4

Step-by-step explanation:

12 - 8 = 4

To double check: 8 + 4 = 12

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Answer:

Step-by-step explanation:

13. \(\frac{4}{20}*100= 20\)%

14. \(\frac{2}{25}*100=8\)%

15. \(\frac{35}{50}*100=70\)%

16. \(\frac{150}{200} *100=75\)%

17.  \(\frac{4}{100}*x=56\\ 56*\frac{100}{4}=1400\\\)days

The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

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Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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Answer:

-2 cannot be an answer in the context of this question

Step-by-step explanation:

Because the shapes are physical objects, they can NOT have a negative answer as the area. If just the rectangle had -2 as a solution, it would still be viable since the end result would still be positive but since x is also the measure of the square, it is not viable. It is not possible, in this context, to have a negative solution because its a shape's area.

Answer:

Length: 5

Width: 3

Step-by-step explanation:

l=2+w

2w+2l=16

2w+2(2+w)=16

2w+4+2w=16

4w+4=16

4w=12

w=3

l=2+3

L=5

Answer:

60%, 40%

Step-by-step explanation:

there are 1,2,3,4,5,6 numbers in the dice the even numbers are moreover than the odd so It 60%,40%

Answer:

50%, or mutually exclusive

Step-by-step explanation:

A die has 6 sides 1-6. So there are three odd numbers (1,3,5) and three even number (2,4,6). It is a single throw so the die can only land on one number mutually exclusive number, since there are the same amount of odd numbers as even the probability is 50%.

The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

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Answer:

2.95

Step-by-step explanation:

Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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Answer:

y > 0

Step-by-step explanation:

\(y = e^{4x}\)

This is an exponential function;

Consider as x → ∞, y → ∞;

If x = 0. y = e⁰ = 1;

As x → -∞, y → 0;

y ranges from 0 to ∞ therefore, i.e. y > 0

Answer: 4(2x-3)

Step-by-step explanation: The unknown number is multiplied by 2, giving 2x,then subtracted by 3, giving (2x-3). Multiplying the final result by 4, Your final answer is 4(2x-3)

The algebraic expression for the given statement would be:

4(2x - 3)

Explanation:

First, we consider "I think of a number, multiply it by 2, and subtract 3". This translates to:

2x - 3

Next, we consider "multiply the result by 4". This means we need to multiply 4 with the expression 2x - 3, which gives:

4(2x - 3)

Answer:

18.09

Step-by-step explanation:2.4x2.4, then x3.14  

Answer:

answers below

Step-by-step explanation:

If you are trying to find the area the answers are:

Earth= 289.52918

Saturn=6,532.5021

The formula for area for a sphere is:

4 x pie x r2

If you are trying to find the volume the answers are:

Earth=57.90584

Saturn=46,647.01596

The formula for volume for a sphere is:

4/3 x pie x r3

Also the radius (r) is half of the diameter, so you divide the diameter by 2.

Answer:

3.65

Step-by-step explanation:

The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6

The domain of the function h(x) = (1.4)^x + 5 is  {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5.

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.

Given function is h(x) = (1.4)^x + 5

The value of h(x) exists for all real numbers.

The domain of the function is all real numbers.

The function h(x) is an increasing function.

The minimum value of x is -∞.

Putting x = -∞ in the given function is

h( -∞) = (1.4)^(-∞) + 5

h( -∞) = 5

The lowest value of h(x) is 5.

The range of the function is (5,∞).

A line that, in analytical geometry, is an asymptote of a curve is one where, as one or both of the x or y coordinates tend to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and related contexts.

The asymptotes is y = 5.

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The incircle centered at point P has a radius of 7 units.

Here given that,

PA = 12 units.

PZ = 7 units

The complete question is :

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

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Answer:

Step-by-step explanation:

This is an isosceles triangle with base of 21 and sides of 28.

Area formula

Find height:

Area:

The vector addition of vector a = < 4, - 3 > and b = < - 1, - 2 > is given by,

a + b = < 3, -5 >

The graph of the vector sum is given below.

The addition of vectors suggests the addition of the corresponding components of the involving vectors.

Given the vectors are:

a = < 4, - 3 >

b = < - 1, - 2 >

So doing vector addition we get,

a + b = < 4, - 3 > + < - 1, - 2 > = < (4 + (-1)), (-3+(-2)) > = < (4 - 1), (-3 -2) > = < 3, -5>

Head to tail method is a method to draw vector addition, where the initial point of a vector involved in vector addition is started from tail point of another vector involved in vector addition.

Using vector tool we draw the vector addition of given vectors 'a' and 'b' we get,

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Answer: Look at the image below

Step-by-step explanation: I took the test.

Step 1: Select Vector

Step 2: Click on (0, 0), then click on (4, -3); (for every point your going to have to click on where you start then where you want to go.)

Step 3: Click on (4, -3), then (3, -5). Why?: ((4 - 1), (-3 - 2)) = (3, -5)

Step 4: To complete the problem and thus completing the "head to tail" method, you need to click on the origin (0,0) and finally click on (3, -5)

Your answer should now look like mine, now go get that A.

The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.  

The two arithmetic means between 3 and 24 are has to be inserted.

3, A₂, A₃, 24

All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:

t(n)=a(n-1)d

Here, d is the common difference a is the first terms and n is the total term.  The first term, a=3 and t₄=24. Thus, the common difference is;

\(t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}\)

The second and 3rd term are:

\(A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}\)

Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.

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Answer:

y=7x-6

Step-by-step explanation:

Use point-slope equation.

y-y1=m(x-x1)

y-8=7(x-2)

y-8=7x-14

y=7x-6

Answer:

b

Step-by-step explanation:

Answer:

-22,-13,-3,-2,4/4,4,7,13,19,25,34,49,63

Answer:

Step-by-step explanation:

Both equations have -7y. You can eliminate them by subtracting one equation from the other:

Multiply equation 1 by -1, then add it to equation 2:

-2x + 7y = 74

3x - 7y = -83

———————

x = -9

2x - 7y = -74

2(-9) - 7y = -74

-7y = -56

Y = 8

(x,y) = (-9, 8)

Answer:

2n+3

Step-by-step explanation: