In the diagram below of triangle FGHFGH, II is the midpoint of \overline{FH} FH and JJ is the midpoint of \overline{GH} GH . If m\angle HGF=67-8x∠HGF=67−8x, and m\angle HJI=2x+47∠HJI=2x+47, what is the measure of \angle HJI∠HJI?

\( \large\frak{ Given :}\)

\( \large\frak{Find:} \)

\( \large\frak{Explanation :} \)

\( \small\tt Area = \frac{1}{2}× d¹ × d²\)

Where,

\( \implies \small\tt{ \frac{1}{2} \times 7 \times 6} \)

\( \implies\small\tt{ \frac{1}{2} \times 42 } \)

\( \implies \small\tt{Area = 21 {cm}^{2} } \)

Answer:

IT WILL BE 49.50 dollars left

Step-by-step explanation:

PLS GIVE BRAINLEST ALMOST LVLED UP

Answer:

27607.3619632 meters per hour

Step-by-step explanation:

She was running 7.6 m/s 3600 seconds in a hour

3600x7.6=27607.36

V=30cmx40cmx200cm

V=240000cm

Step-by-step explanation:

Answer:

\( 32x^{15} \)

Step-by-step explanation:

\( (2x^3)^5 = 2^5(x^3)^5 = 2^5x^{15} = 32x^{15} \)

Answer:

Hi, I'm currently a sophomore (10th grader) and my biggest advice would be don't give into peer presssure when it comes to choosing classes. Only take classes that you feel you are able to handle and succeed in, don't take high level classes just because your friends are!

Step-by-step explanation:

Answer:

go to things that interest you like clubs and stuff like that be yourself try to find what your good at and dont stress to much be happy with what you got never push yourself to hard

Step-by-step explanation:

The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, it is true that 95% of the coworkers fall within the interval (0.339, 0.501), and we can be 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%. However, it is false to say that there is a 95% chance that a randomly selected coworker has received the vaccine or that there is a 42% chance for a randomly selected coworker to have received the vaccine.

The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, we can determine which of the following statements are true:

a) 95% of the coworkers fall in the interval (0.339, 0.501).

This statement is true. The 95% confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that 95% of the coworkers fall within the interval (0.339, 0.501).

b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%.

This statement is true. The 95% confidence interval (0.339, 0.501) provides us with a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that we are 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%.

c) There is a 95% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 95% confidence interval does not represent a probability or chance for an individual coworker. It provides a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. It does not give information about the likelihood of an individual coworker receiving the vaccine.

d) There is a 42% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 42% represents the proportion of coworkers in the survey who have received the flu vaccine, but it does not represent the chance or probability for a randomly selected coworker to have received the vaccine. The 42% is a point estimate, not a probability.

e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.

This statement is false. The confidence interval (0.339, 0.501) does not directly provide information about the proportion of samples that will have a proportion near 42%. The confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies, but it does not specifically address the proportion of samples near 42%.

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Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

Answer: 18 square ft.

Step-by-step explanation:

Surface area is length*width. 1*1= 1*6= 6

since there are three cubes, it is 6*3= 18 square ft total.

If you arrived at a relative's house 45 seconds after leaving home, traveling 90 m, the speed was 2 meters per second.

To find out how fast you traveled, you need to use the formula for speed, which is distance divided by time. In this case, the distance is 90 meters and the time is 45 seconds.

So, you can plug these values into the formula to find your speed:
Speed = Distance / Time
Speed = 90 meters / 45 seconds
Speed = 2 meters per second

Therefore, you traveled at a speed of 2 meters per second. This means that you covered 2 meters in just one second. This is a relatively fast speed, especially if you were walking or running.

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Answer:

Step-by-step explanation:

4_|   3    -13    2   -5

              12    -4   -8

       3     -1     -2    -13

3x^2 - x - 2 - 13/(x - 4)

Answer:

99 and 33

Step-by-step explanation:

let x and y be the 2 numbers, with x being the larger of the 2, then

x + y = 132 → (1)

x - y = 66 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 132 + 66

2x + 0 = 198

2x = 198 ( divide both sides by 2 )

x = 99

substitute x = 99 into (1) and solve for y

99 + y = 132 ( subtract 99 from both sides )

y = 33

the 2 numbers are 99 and 33

The probability that a randomly selected jury of 12 people is all male is 2.01 × 10⁻⁵   .

In the question ,

it is given that ,

total number of people in the jury pool is 30 people ,

the total number of men in the jury pool is = 16 ,

total number of women in the jury pool is = 14 ,

So , 12 members can be selected from 30 people in ³⁰C₁₂ ways ,

So , total number of ways = ³⁰C₁₂ = 86493225 ways

and 12 male can be selected from 16 men in ¹⁶C₁₂ ways

= ¹⁶C₁₂ = 1820.

So , the probability of selecting 12 men is = 1820/86493225

= 0.00002104211

≈ 2.01 × 10⁻⁵

Therefore , the required probability is 2.01 × 10⁻⁵  .

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Answer:

uh

Step-by-step explanation:

Answer:

me mo miknWhich of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.

Step-by-step explanation:

\(\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\((3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\\)

\( ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\\)

\( ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\\)

\( ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\\)

\( ➺\: - 15x = - 2\\\)

\(➺ \: x = \frac{ - 2}{ - 15} \\\)

\(➺ \: x = \frac{2}{15}\\ \)

\( ➺\: x = 0.1333\)

\(\huge\bf\purple{*Mystique 35♡༉}\)

Answer:

76.275

Step-by-step explanation:

First - the entire circles area is 78.54. \(\pi r^{2}\) with r being 5

6 triangles of that size could fit in that circle.

A=3\(\sqrt{3}\)/(2) * a2

The area of that would equal 64.95

78.54-64.95 = 13.59

then divide that number by 6

which is 2.265.

Take that number from the original 78.54

78.54-2.265 = 76.275

Answer:

To simplify the expression 5x * 3x, you can multiply the coefficients (numbers) together and then multiply the variables together.

The coefficient of 5x is 5, and the coefficient of 3x is 3. Multiplying them gives us 5 * 3 = 15.

The variable x is being multiplied by x, so we can combine the variables by adding their exponents. The exponent of x is 1, and when multiplied by x (which has an exponent of 1), we get x^1 * x^1 = x^(1+1) = x^2.

Putting it all together, 5x * 3x simplifies to 15x^2.

Answer:

Maggie is 36 years old.

Step-by-step explanation:

By using the concept of average speed it can be inferred that

Bianca has the fastest average speed.

First option is correct

What is average speed of an object?

At first, it is important to know about speed of an object.

The rate at which an object is moving is called speed of an object.

Average speed is calculated by dividing the total distance travelled by an object by the total time taken.

For Bianca

Speed = 60 miles per hour

Time = \(1\frac{1}{2}\) hours = \(\frac{3}{2}\) hours

Distance = \(\frac{3}{2} \times 60\\\) = 90 miles

Speed of Bianca in covering 1 mile = \(\frac{60}{90} = \frac{2}{3}\) = 0.67  miles per hour

For Collin

Speed = 150 miles per hour

Time = \(2\frac{1}{2}\) hours = \(\frac{5}{2}\) hours

Distance = \(\frac{5}{2} \times 150\\\) = 375 miles

Speed of Collin in covering 1 mile = \(\frac{150}{375} = \frac{2}{5}\) = 0.4 miles per hour

For Dale,

Speed = 105 miles per hour

Time = \(1\frac{3}{4}\) hours = \(\frac{7}{4}\) hours

Distance = \(\frac{7}{4} \times 105\\\) = \(\frac{715}{4}\) miles

Speed of Dale in covering 1 mile = \(\frac{105}{\frac{715}{4}}} = \frac{4}{7}\)  = 0.56 miles per hour

So Bianca has the fastest average speed

First option is correct

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Answer:

2 miles

Step-by-step explanation:

Given that :

Distance from home to store and back = 1/2 mile

In a week :

Number of times he walked from home to store and back = 1 time

Number of times she rode to store and back = 3 time

Note distance does not change whether she rode or walked:

Hence,

miles walked = 1/2 miles * 1 = 1/2 miles

Miles biked = 1/2 miles * 3 = 3/2 miles

Total Number of miles :

(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles

In the given expression 6n + y + 4 which 6 is a coefficient, y is a variable, and 4 is a constant.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

6n + y + 4

As per the question, Sarah says that 6 is a coefficient and 4 is a constant.

Thus, the error she might have made is confusing the variable y with the coefficient 6.

In the expression 6n + y + 4, 6 is a coefficient, y is a variable, and 4 is a constant.

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Answer:

Mean 5.3, Median 6, Mode 6, Range 7

Step-by-step explanation:

First we arrange the numbers from smallest to the largest. (When you are done count them to see if you have the same amount of numbers that you had before you arrange them.)

1, 3, 5, 6, 6, 6, 7, 8

Mean: is the average of all the numbers :add all numbers / how many numbers we have

(1+ 3+ 5+ 6+ 6+ 6+ 7+ 8) /8 = 42/8 = 5.25 ≈5.3 (rounded to the nearest tenth)

Median: is average of the 2 numbers that are in the middle 1, 3, 5, 6, 6, 6, 7, 8

(6+6)/2 = 6

Mode: is the number that appears the most so is 6

1, 3, 5, 6, 6, 6, 7, 8

Range: is the difference between the highest and the lowest value

1, 3, 5, 6, 6, 6, 7, 8

8-1 = 7

Answer:

Mean- 42

Median- 6

Mode- 6

Range- 7

Step-by-step explanation:

Answer:

$8,890.83

Step-by-step explanation:

To find the answer we have to use this equation:

\(A = P(1 + r)^t\)

A = The total amount

P = The initial amount

R = The interest rate

T = Time

Given in the question:

A = ?

P = 2,900

R = .09

T = 13

Plug it into the equation and solve:

\(A = 2900(1 + .09)^1^3\\A = 2900(1.09)^1^3\\A = 2900(3.065804612)\\A = 8890.83\)

Therefore, after 13 years there will be $8,890.83 in the account.

I hope this helps!!

- Kay :)

The estimated number of whole cookies of the remaining 60 is 50.  

Estimating is the process of making an approximate calculation or judgment based on incomplete or uncertain information.

It involves using reasoning and previous experience to make an educated guess about a quantity, value, or outcome.

Estimating is often used when exact calculations are not feasible or practical, or when only a rough estimate is needed.

Here we have

Tara made 6 dozen cookies and brought them to the school bake sale in a big container.

She has taken 12 cookies out of the container to give to customers. Of the cookies she has taken out, 2 were broken and 10 were whole.

The total number of cookies Tara made = 6 × 12 = 72 cookies.

She took 12 cookies out of the container i.e 1 dozen

In which broken cookies = 2 i.e 2/12 = 1/6

The whole cookies = 10/12 = 5/6

Hereafter taking 12 cookies, remaining cookies = 72 - 12 = 60

Hence, the estimated number of whole cookies calculated as

the estimated number of whole cookies = (5/6)(60) = 5(10) = 50

Therefore,

The estimated number of whole cookies of the remaining 60 is 50.  

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1. \(-4, |3-7|, 5, |2*(-3)-(-1)|\)

2. a) -33

b) 34

c) -26

Explanation:

For #1: since absolute values cannot be negative, \(|3-7|\) = 4, and

\(|2*(-3)-(1)|\) = 7

For #2: Just work through the equations using P.E.M.D.A.S

Answer:

3/5y

Step-by-step explanation:

6y/35 ÷10y^2/7

to solve this you do reciprocal of 10y^2/7

then;

6y/35 x 7/10y^2

solving this

3/5y

Answer:

3360 cm^2

Step-by-step explanation:

24 times 14 times 10 = 3360

Answer:

(b) 30.25 feet

Step-by-step explanation:

Given

\(v = \sqrt{64h\)

Required

Find \(h\) when \(v = 44\)

Substitute \(v = 44\) in \(v = \sqrt{64h\)

\(44 = \sqrt{64h\)

Take square of both sides

\(44^2 = 64h\)

\(1936 = 64h\)

Divide both sides by 64

\(30.25 = h\)

Rewrite as:

\(h = 30.25\)

The true statements are (A) 30×400 ml equal the total number of milliliters for 30 bowls of soup

(B) 30 bowls of soup hold 12,000 ml, which is same as 12 Litres

(C) Noah can multiply the number of bowls of soup by 1,000 to find the number of litres

(D) If each family member has 2 bowls of soup , Noah need to make 24 litres of soup

There are 30 people and each person is served soup in a 400 ml bowl, so the total amount of soup needed is 30 × 400 ml = 12,000 ml.

Option A is true

30 bowls of soup hold 30 × 400 ml = 12,000 ml, which is the same as 12 litres (since 1 litre = 1,000 ml).

Option B is true

Since 1 litre = 1,000 ml

Noah can multiply the number of bowls of soup by 1,000 to find the number of litres.

For example, 30 bowls of soup hold 12,000 ml = 12 litres.

Option C is true

If each family member has 2 bowls of soup, then the total amount of soup needed is

30 × 2 × 400 ml

= 24,000 ml, which is 24 litres (since 1 litre = 1,000 ml).

Option D is true.

Noah needs to make 24 litres of soup, and each pot contains 6 litres of soup.

Therefore, he would need to make 24 ÷ 6 = 4 pots of soup to serve each family member 2 bowls of soup.

Option E is false.

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Noah is making soup for a family reunion of 30 people. Each pot he makes contains 6 liters of soup. He uses bowl that 400mL to serve the soup to his family

Select all the true statements

(A) 30×400 ml equal the total number of milliliters for 30 bowls of soup

(B) 30 bowls of soup hold 12,000 ml, which is same as 12 Litres

(C) Noah can multiply the number of bowls of soup by 1,000 to find the number of litres

(D) If each family member has 2 bowls of soup , Noah need to make 24 litres of soup

(E) Noah would need to make 2 pots of soup for each family member to have 2 bowls of soup