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4 years ago

Evaluate 6+3b if b=7

2 answers:

6 0

27. Replace b with 7, making 6 + 3(7). The 3 and parentheses of 7 hint multiplication, so you multiply to make 21, then add 6 relating back to PEMDAS to teach you the correct order to solve the problem.

Wittaler [7]4 years ago

5 0

Evaluate 6+3b if b=7
To solve this problem, we must plug the value of b into the equation and follow the order of operations like so:
Original Equation: 6+3b
Plug in Given Information: 6+3*7
Remember that in the order of operations, we multiply before adding.
Multiply: 6+21
Add: The answer is 27.

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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

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

So, 99% confidence interval for the population proportion, p is ;

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

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

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

= [0.804 , 0.896]

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

(b) Let p = population proportion of girls born.

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 One-sample z proportion test statistics;

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, the test statistics = $\frac{0.85-0.50}{\sqrt{\frac{0.85(1-0.85)}{400} } }$

= 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 we reject our null hypothesis.

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

8 0

3 years ago

In this unit, you calculated the surface area of solid figures composed of polygons, such as rectangles and triangles. But imagi

Citrus2011 [14]

Answer:I don't know the exact problem but I'll just give you the formulas on how to find volume, circumference radious, and yada

Step-by-step explanation: to find volume.. you need to multiply pi times the radius to the power of 2.. to find the radius you need to divide the height and pi by the volume.. to find the cylinder circumference you need to multiply the radius by 2 the multiply the radius by pi which is 3.14

7 0

3 years ago

Read 2 more answers

Whats the answer to this

Oksanka [162]

Answer to what? We need the question

6 0

3 years ago

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One quarter has a mass of 5.67 grams. Which is the mass of two rolls of quarters each containing 40 quarters? how much is it?

Orlov [11]

Answer:

453.6 grams

Step-by-step explanation:

40 x 5.67 = 226.8

226.8 x 2 = 453.6

8 0

4 years ago

Read 2 more answers

15 students were asked how many hours per week they listen to music. 3 different graphs were used to record the same data.

AlladinOne [14]

If you observe the 4 graphical representations you will see that except stem and leaf plot, the rest 3 represent the same information.

As the time is increasing, the frequency of students who listen to music is decreasing. The frequency is maximum for the first group 0 - 1 and least for the last group 6 - 7.

The ranges shown in both Frequency Table and Histogram are the same.

So, the following options are correct:
B) One of the displays does not show the same information as the others.
C) The first three displays show that as time increases, frequency decreases.

5 0

3 years ago