Find the area of the figure below in square units.

The indicated boxes μx¯ = 83.7 and σ¯x = 3.44

Given data are,

Mean of X = 83.7 ft

Standard deviation of X = 45.2 ft

Sample size, n = 172

Now, the standard error (σx¯) of the sampling distribution is calculated using the below formula;

$$\sigma_{\bar x}=\frac{\sigma}{\sqrt n}$$

Where,σ = Standard deviation = Sample size

By substituting the given values, we get;

$$\sigma_{\bar x}=\frac{45.2} {\sqrt{172}}=3.44$$

Thus, σx¯ = 3.44

μx¯ = Mean of the sampling distribution$$\mu_{\bar x}= \mu=83.7

Thus,  μx¯ = 83.7

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Answer:

-3x^2-3

Step-by-step explanation:

1: 3x^2

2: -3x^2

3:

The true statement is (b) the random variable is x, the possible values are 0 to 3 and the values are numerical

The table is added as an attachment

From the attached image, we have:

Number of girls (x)          P(x)

0                                         0.125

1                                         0.375

2                                         0.375

3                                         0.125

In the above, the random variable is x, while P(x) represents its probabilities.

Also, the possible values are 0 to 3 as shown in the table.

0 to 3 are numerical digits, and the values are numerical

Hence, the true statement is (b)

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Answer: 270 chocolates

Step-by-step explanation:

Given the following :

Number of 5-year Olds = 5

Number of 6-year Olds = 5

Number of 7-year Olds = 5

Number of chocolates received by each child = 3 times as many chocolate as their age.

Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates

Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates

Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates

Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates

Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates

Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates

Totak number of chocolates altogether :

(75 + 90 + 105) = 270 chocolates

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

To determine if the average commute time in your county differs from the national average of 40 minutes, you will need to conduct a hypothesis test. The appropriate test to use in this case is a one-sample t-test.

The one-sample t-test is used to compare the mean of a single sample to a known population mean when the standard deviation of the population is unknown.

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Answer:

A a pair of intersecting lines

Step-by-step explanation:

i got it right on the test bub

Answer: a pair of intersecting lines

Step-by-step explanation: i had many people help me know this is right

There is a one-to-one correspondence between the even and odd divisors, we can conclude that an even integer k, not divisible by 4, has the same number of even and odd divisors.

To prove that an even integer k, not divisible by 4, has the same number of even and odd divisors, we can establish a bijection between them.

Let's consider an even integer k. Since k is even, it can be expressed as k = 2n, where n is an integer.

First, let's consider the even divisors of k. An even divisor of k is of the form 2m, where m is an integer. Since k = 2n, we can write the even divisor as 2m = 2n. Simplifying this equation, we get m = n.

Now, let's consider the odd divisors of k. An odd divisor of k is of the form 2m + 1, where m is an integer. Again, we can write this odd divisor as 2m + 1 = 2n. Simplifying this equation, we get m = n - 1/2.

Now, let's establish a bijection between the even and odd divisors. For every even divisor 2m, we can find a corresponding odd divisor 2m + 1, and vice versa. The correspondence is given by the equation m = n for even divisors and m = n - 1/2 for odd divisors.

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Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:divideing by the whole number

Step-by-step explanation:

Answer:

(3,1)is the correct ans

Answer:

(3, 1 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 3, 1 ) → (3, 1 )

Answer:

2(4a + 7)

Step-by-step explanation:

2 to the 4 and 7

This would give you 8a + 14 because 2 times 4 is 8,  and 2 times 7 is 14.

Hope this helps.

Answer:

2(4a + 7)

Step-by-step explanation:

Multiply 2x 4 to make 8a. Then multiply 2 x 7 to make 14. 8a + 14.

THANKS FOR THE POINTS BTW

All three parts of the given problem regarding trails, paths and walks have been solved below.

A path is defined as a way in which we can traverse the graph such that neither vertices nor the edges are repeated. In the given graph we can see that for going from a to c there are 4 ways that satisfy the condition of a path. A Trail is an open walk in which no edge is repeated but the vertex can be repeated. So, in the given graph we can see that there are 3!(4) ways in which we can go from a to b and then c and 4 paths in which we can go directly from a to c.

The walk is a sequence of vertices and edges of a graph that can be closed if we come to the same point after traversing the graph or open if we go from one point to another. In the given graph since we go from a point to c point the walk is open but the length of edges of the walk is not defined so if we take the no. of edge length to be 4

there can be 44 ways

so,

number of paths from a to c = 4

number of trails from a to c = 4+3!(4)= 28

number of paths from a to c = 4+3!(4)+2!(6)+1!(4)= 44

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Answer:

Graph as it says

Step-by-step explanation:

Its simple really, I'm assuming theres a box of points, so look at your box. Points will be labled as such example (3,5), You would have to plot those two points on the graph. Remember when plotting, your first number is your X axis. So you would go to the number three on the line in the middle (Not -3) and your Y axis is your last number, so you would look at the line that is in essence cutting the graph in half, and plot the number 5. (Not -5).

Answer:

Slope:

2/5

y-intercept:

(0,2)

Step-by-step explanation:

Find full question attached

Answer and explanation:

The perimeter of a rectangle is the sum of all the sides of the rectangle.

From the question(attachment) we can see the length and width of the rectangle given. Therefore, to find the perimeter of the rectangle we add up the length(2 sides) and the width(2 sides).

The width = 6x +1

The length = 2x-5

Therefore the equation of the perimeter 120 :

6x-1+6x-1+2x+5+2x+5 =120

Also same thing as

2(6x-1)+2(2x+5)=120

Hence, correct option is C

Answer:

x= 5

Step-by-step explanation: Theatres A and B make the same amount of money in one night. The equation for the two is 28x+20 for Theatre A, and Theatre B=22x+44. For the two theatres, 28 and 22 are the cost per ticket and 20 and 44 being the amount of food bought at the snack shop. X is the amount of people who attended either theatre. For them to have made the same amount of money in one night how many people attended? 5 people showed up to both theatres. 5 times 28 + 20 = 132. 5 times 22 +44 =132

Answer:

6.59 and 3.41

Step-by-step explanation:

To evaluate, substitute n for each of the given values.

So when n= 3:

0.53n + 5 = 1.59 + 5 = 6.59

And when n = -3

0.53 n + 5 = -1.59+5=3.41

Hope this helps

Answer:

Step-by-step explanation:

LCM of 35 and 33 is 1125.

The numbers 33 and 35 do not have any common divisors,  they are not divided by any numbers.

so they get multiple i.e 33*35=1125.

Substitution involves plugging the given values of the variables and the

parenthesis is a sign for multiplication (multiplied by).

Given; q = 1; r = 2; s = 3; t = 4; x = 5; y = 6

7. 2·(x + 4) + 10, by substituting x = 5, we have;

8. 3·(4·x) + 4

Substituting x = 5 gives;

9. 10·(x·y)

Substituting x = 5, and y = 6 gives;

10. 2·(x + y)

Substituting x = 5, and y = 6 gives;

11. 3·r·s + 4·x

Substituting r = 2, and s = 3, and x = 5, gives;

12. 2·q + 2·x + 2×t  

Where, q = 1, x = 5, and t = 4, we get;

13. 6·3·t + 6·4·s

Plugging in t = 4, and s = 3, we get;

14. 10·(10·x) + 10·y

x = 5, y = 6

15. x·x·y

x = 5, y = 6

Therefore;

16. r·s·t

r = 2, s = 3, t = 4

Therefore;

17. r·s·t·x·y

r = 2, s = 3, t = 4, x = 5, and y = 6

18. 6·(2·x + 3·y)

x = 5, y = 6

Please find attached a representation of the above responses in the question format

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Answer:

Step-by-step explanation:

Given the quadratic equation that models the height of the ball above the ground as;

h ( t ) = − 16 t^2 + 128 t + 144

t is in seconds

To get the maximum height of the ball, first we must know the time taken by the ball to reach the maximum height.

Note that the ball has a velocity of zero at its maximum height.

v(t) = dh/dt

v(t) = -32t+ 128

at max height, v(t) = 0

0 = -32t + 128

32t = 128

t = 128/32

t = 4secs

To get the maximum height of the ball, you will substitute t = 4 into the modeled function as shown;

h ( t ) = − 16 t^2 + 128 t + 144

h ( 4 ) = − 16 (4)^2 + 128 (4) + 144

h ( 4 ) = − 256 + 512 + 144

h(4) = 400m

Hence the maximum height of the ball is 400m

Answer: The square root of 15 is a rational number

explanation: if 15 is a perfect square. ... Since 15 is not a perfect square, it is an irrational number. This means that the answer to the square root of 15 will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

Answer: The Union of two sets will be all elements without duplicate elements. So G U H ={apple , orange , banana , grape , duruan ,pear , strawberry}

Step-by-step explanation:

"U" is the union of two sets. The no of values in Union of two sets G , H

is G U H = G + H - (G ∩ H)

To learn more about sets notation,

Answer:

y=

Step-by-step explanation:

By solving the equation (7x - 27) + (9x - 34) + (9x - 34) = 180, we find that the value of one base angle is 65 degrees when x is equal to 11.



Let's solve for the value of one base angle. We know that in a triangle, the sum of the interior angles is 180 degrees.The vertex angle is given as 7x - 27 degrees. The two base angles are each given as 9x - 34 degrees.

Since the sum of the three angles in a triangle is 180 degrees, we can write the equation: (7x - 27) + (9x - 34) + (9x - 34) = 180.

Simplifying the equation, we get: 7x + 9x + 9x - 27 - 34 - 34 = 180.

Combining like terms, we have: 25x - 95 = 180.

Adding 95 to both sides, we get: 25x = 275.

Dividing both sides by 25, we find: x = 11.

Now we can substitute the value of x back into the expression for the base angle: 9x - 34.

Calculating, we get: 9(11) - 34 = 99 - 34 = 65 degrees.

Therefore, the value of one base angle is 65 degrees.

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Answer:

here

Step-by-step explanation:

For the first one shade 38 squares

For the second one shade 65 of the squares

#1 is 38%

#2 is 65%

Answer:shade 19 out of 50 bloxks

Step-by-step explanation:

it shows on page

Answer:

Step-by-step explanation:

The ratio 4:5 can be like a fraction.

Girls to boys, respectively, is 4:5.

This means for every 4 girls, there are 5 boys.

Now, to get an equivalent fraction you must multiply both the numerator and denominator by the same number.

In this problem, there are 20 girls, which represents the 4 in 4:5.

So we have 4 multiplying by what to get 20?

4x=20, x=5

Now, you must multiply the amount of boys by the same number you multiplied the girls.

5x5=25. There were 25 boys.

4/5=20/x

2 Sevens take that 2 and subtracts is by 7 like this 7 minus 2 which is five

Answer:

Below.

Step-by-step explanation:

In Δ ABC m < B = 180 - (50+70) = 60 degrees.

in Δ DEF m < D = 180- ( 60 + 70) = 50 degrees.

BC = DE  ( both are 10 cm).

m < A = m < F  ( both 70 and directly opposite BC and DE)

m < C = m < D (corresponding angles and both = 50 degree)

Therefore, Δ's ABC and DEF are congruent by AAS.