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2 years ago

2/3 divided by 5/9

Mathematics

2 answers:

mestny [16]2 years ago

8 0

The answer is 1 1/5

Hope this helps

ohaa [14]2 years ago

4 0

1 1/5 hope this helps

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Suppose that 70% of college women have been on a diet within the past 12 months. A sample survey interviews an SRS of 267 colleg

Fofino [41]

Answer:

The probability that 75% or more of the women in the sample have been on a diet is 0.037.

Step-by-step explanation:

Let X = number of college women on a diet.

The probability of a woman being on diet is, P (X) = p = 0.70.

The sample of women selected is, n = 267.

The random variable thus follows a Binomial distribution with parameters n = 267 and p = 0.70.

As the sample size is large (n > 30), according to the Central limit theorem the sampling distribution of sample proportions ( $\hat p$ ) follows a Normal distribution.

The mean of this distribution is:

$\mu_{\hat p} = p = 0.70$

The standard deviation of this distribution is: $\sigma_{\hat p}=\sqrt{\frac{p(1-p}{n}} =\sqrt{\frac{0.70(1-0.70}{267}}=0.028$

Compute the probability that 75% or more of the women in the sample have been on a diet as follows:

$P(\hat p \geq 0.75)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}} \geq \frac{0.75-0.70}{0.028}) =P(Z\geq0.179)=1-P(Z$

**Use the z-table for the probability.

$P(\hat p \geq 0.75)=1-P(Z$

Thus, the probability that 75% or more of the women in the sample have been on a diet is 0.037.

7 0

2 years ago

Multiplying a certain even number by 4 then subtracting 16 gives you the next consecutive even number. Find the original number

anyanavicka [17]

Let 2k represent the original even number (such that k is an integer)

then 2(k + 1) is the next consecutive even number.

4(2k) - 16 = 2(k + 1)

8k - 16 = 2k + 2

6k = 18

k = 3

since 2k represents the original number, then 2(3) = 6 is the oroginal number

Answer: 6

3 0

3 years ago

300 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and a standard

Usimov [2.4K]

Answer:

150 students

Step-by-step explanation:

According to statement we have the following information

number of juniors=n=300

mean score=24

standard deviation score=4

The number of students that score above 24 is determined by

Number of students score above 24=number of juniors* P(student score above 24)

P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.

Students score above 24=np=300*0.5=150

Hence there are 150 students scored above 24.

4 0

3 years ago

What is the slope of the line shown below?

Vladimir79 [104]

Answer:

(1/2)

Step-by-step explanation:

From one point, if you go up one and over 2 you will get exactly one block up than from your initial point. And since the graph is pointing down on left side, that means it's positive.

3 0

1 year ago

You estimate that a puppy weighs 12 pounds. The actual weight of the puppy is 14 pounds. Find the percent error. Round your answ

Amiraneli [1.4K]

Answer:

The Estimated weight of the puppy = 12 pounds

Actual weight of the puppy = 14 pounds

Difference in estimated weight and actual weight = 14 - 12

= 2 pounds

⇒ [(14 - 12)*100]/14

⇒ (2*100)/14

⇒ 200/14

⇒ 14.285 %

7 0

2 years ago