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murzikaleks [220]
3 years ago
5

I don't get this... Please help.

Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0
In this problem, you are just being asked the distance between the numbers on the number line.

Example: 

X=5, A= - 5

Count the spaces in between the 2 numbers...  5 is on the positive side, any number on the right of a number line is a positive number, and any number on the left of a number line is a negative.
so if you count down from positive 5 to 0, you have jest then moved 5 spaces backwards... now move back 5 again into the negative side, now you should have moved a total of 10 spaces coming from positive to negative.
marin [14]3 years ago
5 0
The first one is c
the second one is b
the third one is a
the fourth one is b
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A square has a side length of 5ft what is its area
Citrus2011 [14]

Answer:

25 feet squared

Step-by-step explanation:

Formula for the area of a square:

A=s^2

5^2, or 5*5, equals 25.

8 0
3 years ago
Which expression would you use to estimate 36% of 84? A. 30% of 84 B. 25% of 84 C. 40% of 84 D. 35% of 84 ANSWER IT FOR ME PLEAS
ludmilkaskok [199]

Answer:

C) 40% of 84

Step-by-step explanation

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7 0
3 years ago
Simplify the expression 4*4+4*x
leva [86]

Answer: The answer is 16+4x

Step-by-step explanation:

4*4 is 16 and 4*x is 4x since I can't add them together it would be 16+4x

8 0
3 years ago
luis has three more quarters than dimes in his pocket, for a total of $1.80. How many dimes (x) are in his pocket
Dmitry_Shevchenko [17]

Answer:

3

Step-by-step explanation:

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6 • 0.25 = 1.50

3 • 0.10 = 0.30

1.50 + 0.30 = 1.80

8 0
3 years ago
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
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