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soldier1979 [14.2K]

2 years ago

9

Naomi and Stefan are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Naomi sold 11 cherry

pies and 4 pumpkin pies for a total of
$208. Stefan sold 13 cherry pies and 12 pumpkin pies for a total of $384. Write the
system of equations that would allow you to determine the cost each of one cherry
pie (c) and one pumpkin pie (p)?

1 answer:

dolphi86 [110]2 years ago

3 0

The answer is the first option

You might be interested in

Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

NeTakaya

Answer:

$\mu = 11$

$\sigma = 2.08$

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So

$Z = \frac{X - \mu}{\sigma}$

$-1.44 = \frac{8 - \mu}{\sigma}$

$8 - \mu = -1.44\sigma$

$\mu = 8 + 1.44\sigma$

Also, when X = 14, Z has a pvalue of 0.925, so when $X = 8, Z = 1.44$

$Z = \frac{X - \mu}{\sigma}$

$1.44 = \frac{14 - \mu}{\sigma}$

$14 - \mu = 1.44\sigma$

$1.44\sigma = 14 - \mu$

Replacing in the first equation

$\mu = 8 + 1.44\sigma$

$\mu = 8 + 14 - \mu$

$2\mu = 22$

$\mu = \frac{22}{2}$

$\mu = 11$

Standard deviation:

$1.44\sigma = 14 - \mu$

$1.44\sigma = 14 - 11$

$\sigma = \frac{3}{1.44}$

$\sigma = 2.08$

7 0

3 years ago

Can someone help me with this?

denpristay [2]

Answer:

rational, Natural, Integer, whole

Step-by-step explanation:

remember your perfect squares

the sqrt of 25 is a perfect square

sqrt of 25 is 5

5 is all except irrational

6 0

3 years ago

Make g the subject p=5gh

balandron [24]

When rearranging or transposing an equation, you always have to try and get the letter you want on its own by doing the opposite of each step on both sides. In this case it is g:

p= 5gh

Because g is being multiplied by 5 and h, you'd want to divide by 5 and h to get g on its own: (division is represented by the slashes / ).

p= 5gh/5h

Now you can cross off 5h completely from the right side of the equation because they cancel out.

p/5h = g

Because you did that, you have to do it on the other side too so that is why it is P/5h on the left.

So g = p divided by 5h.

Hope that helped!!!

7 0

3 years ago

(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)

Oliga [24]

Answer:

Please refer to the attached image.

4 0

3 years ago

What is the domain and range of y=-1/4(x)

LenKa [72]

Domain: $(-\infty, \infty)$

Range: $(-\infty, \infty)$

Explanation:

The function is $y=-\frac{1}{4} x$

The domain of a function is the set of all input values for which the function is well defined. Generally, domain consists of all x-values of the function. Hence, the function $y=-\frac{1}{4} x$ is defined in the interval $(-\infty, \infty)$ .

The range of a function is the set of output values obtained by substituting the value of x in the function. Hence, the function $y=-\frac{1}{4} x$ is defined in the interval $(-\infty, \infty)$ .

6 0

3 years ago