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4 years ago

What is 9/45 divided by 7/42

2 answers:

8 0

$first\ sipmlify\ the\ 
fractions:\\\dfrac{9}{45}=\dfrac{9:9}{45:9}=\dfrac{1}{5}\\\\\dfrac{7}{42}=\dfrac{7:7}{42:7}=\dfrac{1}{6}\\\\\dfrac{9}{45}:\dfrac{7}{42}=\dfrac{1}{5}:\dfrac{1}{6}=\dfrac{1}{5}\cdot\dfrac{6}{1}=\dfrac{1\cdot6}{5\cdot1}=\dfrac{6}{5}=\dfrac{5+1}{5}=\dfrac{5}{5}+\dfrac{1}{5}\\\\=1+\dfrac{1}{5}=\boxed{1\dfrac{1}{5}}$

Ghella [55]4 years ago

7 0

6/5. simplify 9/45 to 1/5 and flip 7/42 to 42/7 and multiply 1/5 by 42/7 which would be 42/35 and simplify to 6/5

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A simple random sample of 100 8th graders at a large suburban middle school indicated that 81% of them are involved with some ty

Sophie [7]

Answer:

The interval is $0.7187 < p < 2.421$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 100$

The population proportion is $p = 0.81$

The confidence level is C = 98%

The level of significance is mathematically evaluated as

$\alpha = 100 -98$

$\alpha = 2%$ %

$\alpha = 0.02$

Here this level of significance represented the left and the right tail

The degree of freedom is evaluated as

$df = n-1$

substituting value

$df = 100 - 1$

$df = 99$

Since we require the critical value of one tail in order to evaluate the 98% confidence interval that estimates the proportion of them that are involved in an after school activity. we will divide the level of significance by 2

The critical value of $\frac{\alpha}{2}$ and the evaluated degree of freedom is

$t_{df , \alpha } = t_{99 , \frac{0.02}{2} } = 2.33$

this is obtained from the critical value table

The standard error is mathematically evaluated as

$SE = \sqrt{\frac{p(1-p )}{n} }$

substituting value

$SE = \sqrt{\frac{0.81(1-0.81 )}{100} }$

$SE = 0.0392$

The 98% confidence interval is evaluated as

$p - t_{df , \frac{\alpha }{2} } * SE < p < p + t_{df , \frac{\alpha }{2} }$

substituting value

$0.81 - 2.33 * 0.0392 < p < 0.81 +2.33 * 0.0392$

$0.7187 < p < 2.421$

4 0

3 years ago

Write The quotient of fifteen and the product of seven and a number as an equation.

sdas [7]

Answer: 15/7x=

Step-by-step explanation: that is the equation

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3 years ago

the product of 8 and the sum of 4 and a number is 112. What is the number? Which equation could be used to solve for the number?

Akimi4 [234]

Product of 8 and the sum of 4 and a number:

sum of 4 and a number: (4 + n)

Product of 8

8 x (4 + n) is 112

8 x (4 + n) = 112

Distribute

32 + 8n = 112

Subtratc

8n = 80

Divide by 8

n = 10

The number is 10, and next time please put options because it says "Which equation could be used to solve for the number?" Thanks! :)

4 0

4 years ago

Read 2 more answers

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 que

vesna_86 [32]

Given :

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.

To Find :

The total number of questions on Stephanie's exam.

Solution :

Let, number of questions in Part 1 is x :

$16=\dfrac{4}{5}x\\\\x=20$

Let, number of questions in Part 2 is y :

$16=\dfrac{2}{3}y\\\\y=24$

Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.

Hence, this is the required solution.

5 0

3 years ago

Help! I PUT 50 POINTS!

artcher [175]

Answer:

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ii- 2 3/100

iii- 10 123/1000

iv- 292/625

Step-by-step explanation:

...

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3 years ago