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maxonik [38]
3 years ago
9

Nina had 17 marbles in a bag. Her mother put a handful of marbles in the bag. When Nina counts her marbles, she discovers she no

w has 34 of them. Which of the following equations will help Nina solve for the number of marbles, m, that her mom put in the bag?
17 + 34 = m
17 + m = 34
17m = 34
m − 17 = 34
Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0
The second equation is correct. Nina initally had 17 marbles in her bag. Her mother placed m marbles into her bag. After counting, she now has 34 marbles. Part of this 34 marbles is already her initial 17 marbles. Therefore, 17 marbles initially + m unknown marbles = 34 marbles. The equation <span>17 + m = 34 is the answer.</span>
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450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (
umka21 [38]

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

The margin of error is of:

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that \sigma = 0.21

Sample of 450:

This means that n = 450

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

M = z\frac{\sigma}{\sqrt{n}}

M = 1.037\frac{0.21}{\sqrt{450}}

M = 0.01

The margin of error is of 0.01.

4 0
3 years ago
the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three ti
Montano1993 [528]
To solve this problem you must apply the proccedure shown below:

 1. You have that the formula for calculate the area of a triangle is:

 A=bh/2

 Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.

 bh/2=124
 bh=124x2
 bh=248

 2. The problem asks for the new area of the triangle <span>if its base was half as long and its height was three times as long. Then, you have:

 Base=b/2
 Height=3h

 3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

 A'=bh/2

 (A' is the new area)

 A'=(b/2)(3)/2
 A'=3bh/4

 4. When you substitute bh=248 into </span>A'=3bh/4, you obtain:
<span>
 A'=186 units</span>²
<span>
 The answer is: </span>186 units²
3 0
3 years ago
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3 years ago
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kap26 [50]
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5 0
3 years ago
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Sasha's grandma is going to sew this umbrella for Sasha. The umbrella is made of 4 identical triangles. If each triangle is 3 fe
kap26 [50]

Answer:

Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Step-by-step explanation:

Since Sasha's grandma is going to sew an umbrella for Sasha, which will be made of 4 identical triangles, if each triangle is 3 feet long and 4 feet high, to determine how many square feet of fabric does Sasha's grandma need, the following calculation must be done:

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8 0
3 years ago
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