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Sphinxa [80]
3 years ago
8

What is -3 2/3 times (-2 1/4)?

Mathematics
1 answer:
butalik [34]3 years ago
5 0
(-3 2/3) * (-2 1/4) ...turn to improper fractions
-11/3 * - 9/4 = ....now multiply straight across,and neg. x neg. = pos
99/12 reduces to 33/4 or 8 1/4
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What is (2x9)- (15 divided by 3)
pentagon [3]

Answer:

1

Step-by-step explanation:

multiply 9 and 2 which is 18 minus 15 which give u 3 divide by 3 and u get 1.

8 0
3 years ago
Read 2 more answers
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 400 babies were​ born, a
Masja [62]

Answer:

(a) 99% confidence interval for the percentage of girls born is [0.804 , 0.896].

(b) Yes​, the proportion of girls is significantly different from 0.50.

Step-by-step explanation:

We are given that a clinical trial tests a method designed to increase the probability of conceiving a girl.

In the study 400 babies were​ born, and 340 of them were girls.

(a) Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

                    P.Q. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of girls born = \frac{340}{400} = 0.85

             n = sample of babies = 400

             p = population percentage of girls born

<em>Here for constructing 99% confidence interval we have used One-sample z proportion statistics.</em>

<u>So, 99% confidence interval for the population proportion, p is ;</u>

P(-2.58 < N(0,1) < 2.58) = 0.99  {As the critical value of z at 0.5% level

                                                    of significance are -2.58 & 2.58}  

P(-2.58 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 2.58) = 0.99

P( -2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

P( \hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

<u>99% confidence interval for p</u> = [\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

= [ 0.85-2.58 \times {\sqrt{\frac{0.85(1-0.85)}{400} } } , 0.85+2.58 \times {\sqrt{\frac{0.85(1-0.85)}{400} } } ]

 = [0.804 , 0.896]

Therefore, 99% confidence interval for the percentage of girls born is [0.804 , 0.896].

(b) <em>Let p = population proportion of girls born.</em>

So, Null Hypothesis, H_0 : p = 0.50      {means that the proportion of girls is equal to 0.50}

Alternate Hypothesis, H_A : p \neq 0.50      {means that the proportion of girls is significantly different from 0.50}

The test statistics that will be used here is <u>One-sample z proportion test</u> <u>statistics</u>;

                               T.S. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of girls born = \frac{340}{400} = 0.85

             n = sample of babies = 400

So, <u><em>the test statistics</em></u>  =  \frac{0.85-0.50}{\sqrt{\frac{0.85(1-0.85)}{400} } }

                                     =  19.604

Now, at 0.01 significance level, the z table gives critical value of 2.3263 for right tailed test. Since our test statistics is way more than the critical value of z as 19.604 > 2.3263, so we have sufficient evidence to reject our null hypothesis due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the proportion of girls is significantly different from 0.50.

8 0
3 years ago
Two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches
Zanzabum
9/3=3
The larger triangle will be 3 times the size
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3 years ago
A bag contains an equal number of blue, green, pink, and red balls. If a ball is chosen at random 200 times, with replacement,
jeyben [28]

Answer: 25%

Step-by-step explanation:

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3 years ago
Which question is statistical?
Bumek [7]

I think the answer is A

4 0
3 years ago
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