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Juli2301 [7.4K]
3 years ago
12

Which is equivalent to 4 radical 9^1/2x

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0

Answer: 9 1/8x

Step-by-step explanation:

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Malcolm Little High School has sopho- mores, juniors, and seniors, but no freshmen. The ratio of sophomores to juniors is 5 to 4
djverab [1.8K]

Answer:

161 seniors

Step-by-step explanation:

According to the problem, given data are as follows:

Total number of sophomores = 300

Sophomores to junior ratio = 5:4

So, Number of Juniors = 300 ×  (4 ÷ 5)

= 240

Now, Juniors to senior ratio = 3:2

So, we can calculate the number of seniors by using following method:

Number of seniors = 240 × ( 2 ÷ 3)

= 240 × 0.67

= 160.8 or 161

6 0
3 years ago
A clock has a face with a radius of 11.5 centimeters. What is the approximate circumference of the clock?
antiseptic1488 [7]
C = 2 pi r
C = 2 x 3.14 x 11.5
C = 72.22
answer is <span>
A. 72.22 cm</span>
6 0
2 years ago
Read 2 more answers
Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of
zhannawk [14.2K]

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

H_{0}: p = 0.29

We want to test the hypothesis that this is true, so the alternate hypothesis is:

H_{a}: p \neq 0.29

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that \mu = 0.29, \sigma = \sqrt{0.29*0.71}

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that n = 100, X = 0.21

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}

z = -1.76

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

5 0
3 years ago
Kate can mow lawns at a constant rate of 4/5 lawns per hour. How many lawns can Kate mow in 20 hours?
weqwewe [10]

Answer:

16 lawns

Step-by-step explanation:

set up a proportion:

(4/5 ÷ 1) = (x÷20)

cross-multiply:

5x = 80

x = 16

8 0
2 years ago
Why is it helpful to represent fractions and division with models? (pls make answer pretty long, thanks :)
eimsori [14]

Answer:

Whether you're teaching the meaning of fractions or fraction operations, visual models can help students connect fractions to what they already know. Division is an essential foundation for fractions. Once students can divide objects into equal groups, they can begin to grasp dividing a whole into equal parts.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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