The confidence interval is reported as follows: Lower 95% CI < p < Upper 95% CI For this question you will be calculating the confidence interval but only reporting the Lower 95% CI using the Agresti-Coull Method. ( (you'll need to know the whole 95% CI for a future question) Do NOT use calculations from previous questions, this is a new scenario. In the Invisible Gorilla Experiment, 23 students were watching the video, only 11 noticed the gorilla. Calculate the 95% CI using the Agresti-Coull method, but only report the Lower 95% CI. Report your answer to 3 decimals.

Answer:

- 5i.

Step-by-step explanation:

( 1 + 2 i ) ( − 2 − 1 i )

= 1 * -2 + 1*-1i + 2i*-2 - 2i*1i

= -2 - i - 4i - 2i^2           i^2 = -1 so we have:

-2 - 5i +2

= 0 - 5i

= -5i.

Answer:

-11

Step-by-step explanation:

Our function is 2x-13x+5

Answer:

40 because (8)(5)=40 when you add the numbers inside the parenthesis

Step-by-step explanation:

Look at my picture for the written work for ANOTHER method

To solve this problem, you use the method called FOIL.

F= multiply the FIRST terms

O= multiply the OUTTER terms

I= multiply the INNER terms

L= multiply the LAST terms

Please rate this the brainlist if this helped, thanks!

Answer:

[tex]40[/tex]

Step-by-step explanation:

[tex](2+6)(2+3)[/tex]

Solve brackets.

[tex](8)(5)[/tex]

Multiply.

[tex]=40[/tex]

Answer:

A : [tex]5^{\frac{5}{6} }[/tex]

Step-by-step explanation:

Because you're multiplying two numbers with the same base, you can add their exponents:

[tex]\sqrt{5} = 5^{\frac{1}{2} } = 5^{\frac{3}{6} } \\\sqrt[3]{5} =5^{\frac{1}{3} } = 5^{\frac{2}{6} }[/tex]

[tex]5^{\frac{3}{6} } * 5^{\frac{2}{6} } = 5^{\frac{5}{6} }[/tex]

The correct answers are B. What types of music does the 6th grade like? and C. How many sodas do Jack and his friends drink in a week?

Explanation:

Statistical questions are those that can only be answered by collecting and analyzing numerical data. This often implies gathering data from a group of individuals and using this to answer the question. Additionally, statistics questions are complex and do not have a direct or unique answer. In this context, the question "What types of music does the 6th grade like?" is statistical because to answer this, it is necessary to collect data from all students in 6th grade and analyze it. This occurs in "How many sodas do Jack and his friends drink in a week?" because it is necessary to know the number of sodas each person drinks in a week.

On the other hand, the questions "How many pairs of shoes do you own?" or "How many cats does Jack have?" are not statistical because it is not necessary to collect a lot of data to know the answer and they can be answered through only one number.

Answer:

[tex]6 \text{ unit}^3[/tex]

Step-by-step explanation:

[tex]\text{Volume}=\text{Base * Height * Depth}\\1*2*3=6\\\text{So neither of your options are correct.}[/tex]

━━━━━━━☆☆━━━━━━━

▹ Answer

6ft³

▹ Step-by-Step Explanation

Since we are using the measurement of cubic feet, the answer is always going to be (cf³) .

1 × 2 × 3 = 6

Cubic feet - 6 ft³

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

C

Step-by-step explanation:

Recall the equation for a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex], where the center is (h,k) and the radius is r.

The given equation is:

[tex](x+5)^2+(y+7)^2=21^2[/tex]

Another way to write this is:

[tex](x-(-5))^2+(y-(-7))^2=21^2[/tex]

Thus, we can see that h=-5 and k=-7.

The center is at (-5, -7).

Answer:

y = -3x+6

Step-by-step explanation:

The slope intercept form of a line is given by

y = mx+b where m is the slope and b is the y intercept

y = -3x +b

Substitute the point into the equation

-6 = -3*4+b

-6 =-12+b

Add 12 to each side

-6+12 =-12+12+b

6=b

y = -3x+6

Answer:

A = 5x + 5

Step-by-step explanation:

Area of Parallelogram Formula: A = bh

Since we are given b = 5 and h = x + 1, simply plug it into the formula:

A = 5(x + 1)

A = 5x + 5

━━━━━━━☆☆━━━━━━━

▹ Answer

A = 5x + 5

▹ Step-by-Step Explanation

A = bh

A = 5(x + 1)

A = 5x + 5

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

A and C (you marked it correct!)

Step-by-step explanation:

In geometric folding, a straight line becomes a crease or a fold. Therefore this means that shapes like arcs, curves, circles by using the compass. but you creat the straight line by measuring lengths of line segments by folding the paper and matching the endpoints.

So its A and C!

Answer:

215

Step-by-step explanation:

7*(6+2)4-9

7*8*4-9

56*4-9

224-9=215

Answer:

7.12.2= 168

Step-by-step explanation:

168 x 168 =28224

28224-3= 28221

28221 x 28221 = 796424841

Answer:

what is your problem

Step-by-step explanation:

Answer:

a) [tex]\hat p=\frac{148}{4167}=0.036[/tex]

b) [tex]0.0355 - 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.030[/tex]

[tex]0.0355 + 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.041[/tex]

Step-by-step explanation:

The sample proportion have the following distribution

[tex]\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})[/tex]

Part a

The estimated proportion for this case can be calculated like this:

[tex]\hat p=\frac{148}{4167}=0.036[/tex]

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]

The confidence interval for the mean is given by the following formula:  

[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

Replacing we got:

[tex]0.0355 - 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.030[/tex]

[tex]0.0355 + 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.041[/tex]

According to the data given:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

Out of 4167 patients treated with the​ drug, 148 developed the adverse reaction of nausea, hence:

[tex]n = 4167, \pi = \frac{148}{4167} = 0.036[/tex]

The best point estimate of the population proportion p is 0.036.

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.036 - 1.96\sqrt{\frac{0.036(0.964)}{4167}} = 0.03[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.036 + 1.96\sqrt{\frac{0.036(0.964)}{4167}} = 0.042[/tex]

The 95​% confidence interval for the proportion of adverse reactions is (0.03, 0.042).

A similar problem is given at https://brainly.com/question/16807970

Answer:

  x ║ z

Step-by-step explanation:

Lines parallel to the same line are parallel to each other.

x and z are both parallel to y, so are parallel to each other:

  x ║ z

Answer:

First, convert 13.5 m/s to km/hr

13.5 x 3.6 = 48.6 km/hr

This is below the speed limit of 50 km/hr

Answer:

48600/hour × 1/1000= 48.6km/h

Step-by-step explanation:

Answer:<5 and <4 are exterior angles

Step-by-step explanation:

Because they are the only ones outside it they are the only ones that are exterior angles!

<!> Brainliest is appreciated! <!>

Answer:

for AL Its 3 and 4

Answer:

Third graph from the top

Step-by-step explanation:

A proportional relationship is a straight line that goes through the point (0,0)

Answer:

Step-by-step explanation:

The third straight graph, since a proportion is a relationship in which a second variable is changed by a same value all the time (linear).

Hope this helps, if not, tell me and I shall try again

Answer:

________________________________________________

Answer: 1x + 2y = 4

Step-by-step explanation:

The equation of the line is y = -1/2x + 2.

First, let's make 4 on one side of the equation.  First, bring x to the left.  y + 1/2x = 2.  Then multiply the whole equation by two.  Thus, 1x + 2y = 4.

Hope it helps <3

Answer:

The null and alternative hypothesis are:

[tex]H_0: \pi_1=\pi_2\\\\H_a:\pi_1\neq \pi_2[/tex]

Test statistic z = -0.29

P-value = 0.7709

Fail to reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the return rate is different for the Plain cover and the Skydiver cover.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]

The significance level is 0.1.

The sample 1 (plain cover), of size n1=209 has a proportion of p1=0.493.

[tex]p_1=X_1/n_1=103/209=0.493[/tex]

The sample 2 (skydiver cover), of size n2=215 has a proportion of p2=0.507.

[tex]p_2=X_2/n_2=109/215=0.507[/tex]

The difference between proportions is (p1-p2)=-0.014.

[tex]p_d=p_1-p_2=0.493-0.507=-0.014[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{103+109}{209+215}=\dfrac{212}{424}=0.5[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.5*0.5}{209}+\dfrac{0.5*0.5}{215}}\\\\\\s_{p1-p2}=\sqrt{0.001196+0.001163}=\sqrt{0.002359}=0.049[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.014-0}{0.049}=\dfrac{-0.014}{0.049}=-0.29[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]\text{P-value}=2\cdot P(z<-0.29)=0.7709[/tex]

As the P-value (0.771) is bigger than the significance level (0.1), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the return rate is different for the Plain cover and the Skydiver cover.

Answer:

y = 1 and x = 1

Step-by-step explanation:

We are given the equation  y=−5x+6    and    y=3x-2

because both of these equations have y on one side we can substitute the equation as

-5x+6 = 3x-2

(subtract 3x)

-8x+6 = -2

(subtract 6)

-8x = -8

(divide by -8)

x=1

Then all we need to do is put x into the equation

y=-5(1) +6

y = -5+6

y = 1

Answer:

x > 9

Step-by-step explanation:

Simply divide both sides by 4:

4x/4 > 36/4

x > 36/4

x > 9

━━━━━━━☆☆━━━━━━━

▹ Answer

x > 9

▹ Step-by-Step Explanation

4x > 36

---     --- → x > 9

4       4

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

4(x + 1) = 16

x + 1 = 4 (Divide equation by 4)

x = 3 (subtract 1)

Answer:

x = 3

Step-by-step explanation:

4(x + 1)=16

Expand the brackets.

4x + 4 = 16

Subtract 4 on both sides.

4x + 4 - 4 = 16 - 4

4x = 12

Divide both sides by 4.

4x/4 = 12/4

x = 3

Answer:

B.66

Step-by-step explanation:

Perimeter =2(base+side)

2 x (13+20) = 66

Answer:

B)

Step-by-step explanation:

Answer:

She would spend $52.50.

Step-by-step explanation:

c = 3.5t

c = 3.5(15)

c = $52.50

Hope this helped! :)

Answer:

328.48

Step-by-step explanation:

Answer:

5.05 rupees

Step-by-step explanation:

Convert 5 paisa to rupees

100 paisa = 1 rupees

5/100 = 0.05

5 + 0.05 = 5.05 rupees

Answer:

Option A is the right option

Step-by-step explanation:

BO is bisector of line AC

so,

AB=BC

AC=AB+BC

=8+8

= 16

Hope this helps...

Good luck on your assignment....

Answer:

16

Step-by-step explanation

BD is perpendicular bisector of AC so BC is 8.

8+8=16

Answer:

94 cm

Step-by-step explanation:

The formula for finding the circumference of a circle is;

Circumference = 2πr

where π = [tex]\frac{22}{7}[/tex] or 3.14 and

r = radius

Here radius is 15 cm so;

Circumference = [tex]2 * \frac{22}{7} * 15[/tex]

                         = [tex]\frac{660}{7}[/tex]cm

                         = 94.28cm

                         = 94 cm (  rounded to the nearest centimetre )