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AnnZ [28]
3 years ago
13

The average score of those students who passed a test was 65, the average score of those who did not pass was 35, and the overal

l average score was 53. What percentage of the students passed the test?
Mathematics
1 answer:
FrozenT [24]3 years ago
4 0

Answer:

60%

Step-by-step explanation:

To find the total pass = 65 * number of student that passed, let it be be represented by P and number of students that failed F

Total pass = 65p

And total fail = 35F

For the total pass and failure will be 53(P+F)

Equating to total pass and total fail

65P +35F = 53( P+ F)

65P+35F = 53P+ 53F

65P-53P =53F-35F

12P=18F

2P= 3F

Hence there are 3 passing scores for every 2 failure scores, hence there are a multiple of 5 scores and the same multiple of 3 passing scores.

3/5 * 100= 60%

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Al wants to put tile in his kitchen that measures 13 feet long and 7 feet wide. How much tile will he need?
mars1129 [50]

Answer:

Al will need 91 feet of tile to go into his kitchen.

Step-by-step explanation:

A=L x W

A = 13 x 7

A = 91 ft.

7 0
3 years ago
I need help on this Pls
lina2011 [118]

Answer:

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6 0
3 years ago
Read 2 more answers
1. JP Construction is building a rectangular children's wading pool for the local community center. The pool will be 4.5 meters
Bond [772]

Answer:

x\leq 1.78

Step-by-step explanation:

We are given that

Width of pool, b=4.5 m

We have to find the inequality which  represents the possible lengths of the wading pool.

Let x be the length of wading pool

We know that

Area of rectangle=length\times breadth

According to question

Using the formula

4.5x\leq 8

Divide by 4.5 on both sides we get

x\leq\frac{8}{4.5}

x\leq 1.78

5 0
3 years ago
A cottage has a gable roof. To the nearest foot, how wide is the cottage?A. 12 ftB. 24 ftC. 35 ftD. 70 ft
Sergio [31]

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

7 0
2 years ago
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a stand
Art [367]

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

\mu_G = 15

s_G = \frac{4.2}{\sqrt{35}} = 0.71

The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

\mu_E = 13.4

s_E = \frac{3.7}{\sqrt{40}} = 0.585

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6

Standard deviation:

s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92

So the correct answer is given by option b.

8 0
3 years ago
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