In the diagram below, Bo is parallel to XÝ. What is the value of x?

Kong took 15\%, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds. How many

andreev551 [17]

Answer:

Nolan took 97.75 seconds. you may need to round it to 98.

Step-by-step explanation:

multiply 15% by 85 which equals 12.75 then add to 85

6 0

3 years ago

Is it likely that the next 50 Sunday customers will spend an average of at least $40? Explain. Choose the correct answer below

Brrunno [24]

Answer:

B. Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is P=0.0023.

Step-by-step explanation:

The question is incomplete:

A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20.

We have to assume certain conditions to calculate the probability that the next 50 Sunday customers will spend an average of at least $40.

First, this 50 purchases are representative of the total purchases made in the store (the same as saying it is a random sample).

Second, the 10% condition: the 50 sales represent less than 10% of all purchases.

Third, the sample of 50 sales is large enough to make an approximation to the normal distribution.

If all these conditions are met, we can approximate the probabiltity that the next 50 Sunday customers will spend an average of at least $40.

We have a sampling distribution, with mean 32 (equal to the population mean) and standard deviation:

$\sigma_M=\dfrac{20}{\sqrt{50}}=\dfrac{20}{7.07}=2.83$

Then, we calculate the z-score

$z=\dfrac{X-\mu_M}{\sigma_M}=\dfrac{40-32}{2.83}=\frac{8}{2.83} =2.83$

The probabilty can be calculated then as:

$P(X_{50}>40)=P(z>2.83)=0.0023$

5 0

3 years ago

Simplify. 7/8 x 1 1/3 A. 7/24 B. 28/24 C. 1 1/6 D. 1 7/24

Amiraneli [1.4K]

It’s A it’s honestly a simple equation just can’t explain it in typing

4 0

3 years ago

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Find the coefficient of the x7y2term in the binomial expansion of (x+y)^9

statuscvo [17]

Answer:

36

Step-by-step explanation:

first, see the formula in the attached picture.

now, by applying that formula we get :

the coefficient of the x7y2 is :

9C7 = 36 (you can either use a calculator or just the algebraic formula)

8 0

3 years ago

One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0). Whi

madreJ [45]

Answer:

The Transformations are R(O , -90°) & R(O , 270)

Step-by-step explanation:

* Lets revise the rotation of a point

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

(270° anti-clockwise or -90°)

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise (-180°) or

anti-clockwise (180°) around the origin

* Lets solve the problem

∵ One vertex of a triangle is located at (0, 5) on a coordinate grid

∵ The image of the point after the transformation is (5 , 0)

- The coordinates are switched with each other

∴ There is no rotation with 180° or -180° because in the rotation with

180° and -180° around the origin we change only the signs of the

coordinates without switch them

∴ There is a rotation with 90° are 270° or -90°

- The zero has no sign

- When we rotate the point (0 , 5) by -90° or 270° around the origin

we will change the sign of x-coordinate and switch the two

coordinates

∴ The image of the point is (y , -x)

∵ x = 0 and y = 5

- There is no sign for zero, so we switch the coordinates only

∴ The vertex is located at (5, 0)

∴ The Transformations are R(O , -90°) & R(O , 270)

3 0

3 years ago

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