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kvasek [131]
3 years ago
14

Can someone plz help me ?

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Answer:

C

Step-by-step explanation:

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Function or no? <br><br> i just need a simple yes or no. ;-;
ryzh [129]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
If your starting salary is $35,000 and you receive a 6% increase at the end of every year, what is the total amount, in dollars,
aksik [14]

The starting salary is $35,000.

Salary is increased by 6% at the end of every year.

Nos of years worked = 16 years

Total salary earned in 16 years is given by An * (( 1+i )^n - 1 ) / i

Where, An = Present Salary = $35000

i = Increase in salary per year = 6% = 0.06

n = number of years = 16

= 35000 * ( 1.06 ^16 - 1 ) / .06

= 35000 * ( 2.54035 - 1 ) / .06

= 35000 * 1.54035 / .06

= 898538

Total earnings in 16 years is $ 898538


5 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
What set or sets of real numbers does -√16 belong to?
Sati [7]

Answer:

Step-by-step explanation:

Well the square root of 16 can be simplified to 4, which can be represented as a fraction: 4/1, so it's not irrational, but rather rational.

Whole numbers are similar to integers, and natural numbers, the only difference is integers includes all real numbers, which do not have a decimal value. So this includes negative numbers, zero, and positive numbers.

Whole numbers include all real numbers, which do not have a decimal value, and are greater than or equal to zero, or in other words, not negative.

Natural numbers include all real numbers, which do not have a decimal value, and are greater than zero, or in other words, positive numbers.

So this number is a integer, and rational number. (since the negative number in front of the radical)

4 0
2 years ago
Read 2 more answers
Mary runs 3.2 miles every 10 minutes. At this rate, how many miles does she run in an hour?​
Roman55 [17]

Answer:

19.2 miles

Step-by-step explanation:

Because you already have ran 3.2 every 10 minutes and there is 60 minutes in a hour so you will have to multiply 3.2 x 6 = 19.2

8 0
4 years ago
Read 2 more answers
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