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AURORKA [14]
3 years ago
10

A particular train is 25 feet tall. A model of the train was built with a scale of 4 inches which is equal to 5 feet. How tall i

s the model?
Mathematics
1 answer:
sergeinik [125]3 years ago
3 0
The answer is 20in. You multiply 4 by 5 because 5x5 is 25 so the answer is 20
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Complete the solution of the equation. Find the value of y when x equals -15. -x ‒ 8y = -1
valkas [14]
To complete the solution of - x - 8y = -1, we first need to substitute x for -15.
As so:

-(-15) - 8y = -1
15 - 8y = -1

Next, we can subtract 15 from each side to get:

15 - 15 - 8y = -1 - 15
- 8y = -16

Now, we can divide by -8 on each side to get the y by itself:

-8y / -8 = -16 / -8 
y = -16 / -8
y = 2

There we go! <em>y</em> = 2 when x = -15! Hope I could help you out! Have a good one.
5 0
3 years ago
A professor gives her 100 students an exam; scores are normally distributed. The section has an average exam score of 80 with a
frozen [14]

Answer:

6.18% of the class has an exam score of A- or higher.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 80, \sigma = 6.5

What percentage of the class has an exam score of A- or higher (defined as at least 90)?

This is 1 subtracted by the pvalue of Z when X = 90. So

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

Z = \frac{90 - 80}{6.5}

Z = 1.54

Z = 1.54 has a pvalue of 0.9382

1 - 0.9382 = 0.0618

6.18% of the class has an exam score of A- or higher.

4 0
3 years ago
Find the point-slope form. Then use that to find the slope-intercept form
umka2103 [35]
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4 0
3 years ago
State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
GREYUIT [131]

Answer:

Substitution property of equality

Step-by-step explanation:

Given

4x + 9 = 15 and x = 2y + 1

Then

4(2y + 1) + 9 = 15

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If a = b then b = a

In other words, both can replace one another.

So if x = 2y + 1, then 2y + 1 can be substituted for x in 4x + 9 = 15

So:

4x + 9 = 15  becomes

4(2y + 1) + 9 = 15

<em>Hence, it is substitution property of equality</em>

6 0
2 years ago
Please help I need help
Naddika [18.5K]
I don’t know what it is
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2 years ago
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