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3 years ago

A stray dog 18 of your muffins. That was 2/3 of them . With how many did u start with

1 answer:

7 0

27 because half of 18 would be 1/3 of your muffins, 1/3 of the muffins is 9 and add that third to the 2/3 and you're back to your original amount.

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The exam scores for 200 students are normally distributed with a mean of 72 and a standard deviation of 10. Which answer choice

Paha777 [63]

Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

$\mu = 72, \sigma = 10$

The proportion of students with scores between 72 and 82 is the <u>p-value of Z when X = 82 subtracted by the p-value of Z when X = 72</u>.

X = 82:

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

$Z = \frac{82 - 72}{10}$

Z = 1

Z = 1 has a p-value of 0.84.

X = 72:

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

$Z = \frac{72 - 72}{10}$

Z = 0

Z = 0 has a p-value of 0.5.

0.84 - 0.5 = 0.34.

Out of 200 students, the number is given by:

0.34 x 200 = 68 students with scores between 72 and 82.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

6 0

2 years ago

Y is directly proportional to x,and y=216 when x=2. Find y when x=7.

makkiz [27]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=216\\
x=2
\end{cases}\implies 216=k2\implies \cfrac{216}{2}=k
\\\\\\
108=k\qquad therefore\qquad \boxed{y=108x}
\\\\\\
\textit{when x = 7, what is \underline{y}?}\qquad y=108(7)$

6 0

3 years ago

Describe the translation on the graph of f(x)=x to get the graph of g(x) = 3/4(x-7) - 9

dsp73

First there was a vertical shrink by a factor of 3/4, then there was a translation on the x axis 7 east or right. Lastly there was a vertical shift down or south 9 units.

3 0

3 years ago

Read 2 more answers

The scale model of the car is 1:18 the length of the model is 9 1/2 inches how many feet long is the actual

Y_Kistochka [10]

Answer:

14.25 ft

Step-by-step explanation:

1 inch of the model represents 18 inches of the real car. The car's dimensions are 18 times larger than the model's dimensions. Multiply the model dimension by 18 to find the corresponding real dimension.

9 1/2 * 18 = 9.5 * 18 = 171

The actual car is 171 inches long.

Now we need to convert 171 inches to ft.

1 ft = 12 in.

Since we want to eliminate inches and end up with feet, we divide both sides by 12 in.

(1 ft)/(12 in.) = 1

The conversion factor is (1 ft)/(12 in.) to go from inches to feet.

171 in. * (1 ft)/(12 in.) = 14.25 ft

Answer: 14.25 ft

5 0

2 years ago

Read 2 more answers