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nignag [31]
3 years ago
10

Rewrite the equation in Ax+By=C form

Mathematics
1 answer:
Ksju [112]3 years ago
3 0

Ax + By = C form of the given equation is –6x + y = –28.

Solution:

Given equation is y – 2 = 6(x – 5).

To write the equation in Ax + By = C format:

y – 2 = 6(x – 5)

y – 2 = 6x – 30

Add 2 on both sides of the equation.

y – 2 + 2 = 6x – 30 + 2

y = 6x – 28

Subtract 6x from both sides of the equation.

y – 6x = 6x – 28 – 6x

y – 6x = –28

Arrange the terms in the equation.

–6x + y = –28

This is in the form of Ax + By = C.

Here A = –6, B = 1 and C = –28.

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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:

<em>The question is incomplete:</em>

<em>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.</em>

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
Which of the following numbers is rational but not an integer <br> A.0<br> B.3<br> C.-9<br> D.-4.3
Mashutka [201]

Answer:

Thus, every integer is a rational number. Clearly, 3/2,-5/3, etc. are rational numbers but they are not integers. Hence, every integer is a rational number but a rational number need not be an integer.

Step-by-step explanation:

7 0
3 years ago
A student got 22 out of 25 questions correctly, shade the model to help write the decimal that repersents the fraction of correc
IrinaK [193]

Answer:

25  =  23

100 =  X

Cross multiply and you will have:

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Step-by-step explanation:


5 0
3 years ago
EASY Work!! Please look at the picture and yes it’s easy for other people but not me for people asking.
Keith_Richards [23]

Answer:

7()=11

8()=42

I could barely see the answer for number 9 sorry :(

Step-by-step explanation:

the 7() is 2(3)+5

2(3)=6

6+5=11

Question (8)

c^2+3a x b

c(6)^2+ 3(3) x 2/3

36+9 x 2/3

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7 0
3 years ago
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mrs_skeptik [129]

Step-by-step explanation:

5x=4x+12(corresponding angle)

5x-4x=12

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