The formula for the area of an ellipse is Arnab. Using a + b = 20 write the area of
the ellipse as a function of a by solving for a and then plugging in your results
into the formula for the area of an ellipse to replace b.

Complete Question

A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of plates blister under such circumstances?

A) State H_0 and H_a, (5 pts)

B) Test the hypothesis using the P-Value approach at a significance level of 4%: (15 pts)

Expert Answer

Answer:

a)[tex]H_0:p=0.10[/tex]

  [tex]H_a:p>0.10[/tex]

b) We fail to reject Null hypothesis

Step-by-step explanation:

From the question we are told that:

Sample size n=100

No. with blistered x=11

a)

Generally the Hypothesis given as

[tex]H_0:p=0.10[/tex]

[tex]H_a:p>0.10[/tex]

b)

Since p=0.10

Therefore

[tex]p'=\frac{11}{100}[/tex]

[tex]p'=0.11[/tex]

Test statistics

[tex]Z=\frac{p'-p}{\sqrt{p(1-p)}}[/tex]

[tex]Z=\frac{0.11-0.10}{\sqrt{0.10*0.90/100}}[/tex]

[tex]Z=1.33[/tex]

From table

[tex]P-Value =0.092[/tex]

Therefore

P-value >0.04 significance level

Hence,We cannot conclude that at [tex]4\%[/tex] significance level the proportion is greater than [tex]10\%[/tex]

We fail to reject Null hypothesis

Answer:

A = 800, B = 200, C = 400 Andy D = 400

Step-by-step explanation:

Step-by-step explanation:

The union of two sets is the set of elements that belong to one or both sets.

Symbolically, the union of X and Y is denoted by X ∪ Y. As an example, suppose set A = {1, 2, 3} and set B = {1, 3, 5}.

Then, the union of sets A and B would be {1, 2, 3, 5}.

Answer:

Hola

Step-by-step explanation:I need points

Answer:

4x+2y

Step-by-step explanation:

Answer:

the ans is 45⁰ BC it is a right angle

Step-by-step explanation:

Is this a trigonometry ratio

Answer:

not similar

Step-by-step explanation:

32/26 = 16/13

18/12 = 3/2

16/13 is not equal to 3/2, so the rectangles are not similar.

Lets check

[tex]\\ \sf\longmapsto \dfrac{32}{18}\boxed{}\dfrac{26}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{16}{9}\boxed{}\dfrac{13}{6}[/tex]

Hence

[tex]\\ \sf\longmapsto \dfrac{16}{9}\neq\dfrac{13}{6}[/tex]

Both rectangles are not similar

Answer:

3

Step-by-step explanation:

Please Mark me brainliest

Answer:

aren't one of the numbers in the equations supposed to be negative?

Answer:

B

note: in most cases (6x-3)[tex]\sqrt{2 }[/tex] would be the way people simplify this

Step-by-step explanation:

Answer:

Option B, 6x√2 - 3√2

Step-by-step explanation:

5x√2 - 3√2 + x√2

= x√2(5+1) - 3√2

= 6x√2 - 3√2

Answered by GAUTHMATH

Answer:

15km

Step-by-step explanation:

hope it is well understood?

Answer:

5 times.

Step-by-step explanation:

First, look at the values of each line at the 1-hour mark.

For line A (the bicyclist), the distance is about 25 km.

For line B (the pedestrian), the distance is about 5 km.

To determine how many times greater the bicyclist distance is than the pedestrian, divide the values:

[tex]\frac{25\text{km}}{5\text{km}}=5[/tex]

Therefore, the distance covered by the bicyclist for 1 hour is 5 times greater than the distance covered by the pedestrian for the same amount of time.

Answer:

The other two sides are 7 units each.

Step-by-step explanation:

The triangle is isosceles.

The sides are in the ratio of

[tex]x : x : x \sqrt{2}[/tex]

The hypotenuse is

[tex]7\sqrt{2}=x \sqrt{2}\\\\x = 7[/tex]

So, the other two sides are 7 units each.

Answer:

9.725%

Step-by-step explanation:

(1.0475)^2 =1.09725

one year 2 periods 4.75% per period

Answer:

3 out of 12 chance i believe.

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

We'll need to use casework, since the problem stipulates there needs to be exactly one red drawn. Because we're drawing two marbles, we can either draw a red one first or a red one second. With casework, we'll add the probability a red marble is drawn the first draw and the probability a red marble is drawn the second draw.

There are [tex]4+3+5=12[/tex] marbles total. The probability of drawing a red marble is equal to the number of red marbles (3) divided by the total number of marbles (12). Therefore, the probability of getting a marble on the first draw is [tex]3/12=1/4[/tex]. Since the marble is replaced, there are still 12 marbles, 4 blue, 3 red, and 5 green, for the second draw. We want to add the probability a red marble is drawn the first draw to the probability a red marble is drawn the second draw. Therefore, for the second draw, let's find the chances of not choosing a red marble. There is a [tex]9/12[/tex] chance that the marble chosen is not red. Therefore, the probably of this case happening is [tex]\frac{1}{4}\cdot \frac{9}{12}=\frac{9}{48}[/tex].

This case has the exact same probability as the other case, where a non-red marble is chosen the first draw and the red marble is now chosen the second draw ([tex]9/12[/tex] chance to choose a non-red marble and [tex]1/4[/tex] chance to choose a red marble).

Add these cases up:

[tex]\frac{9}{48}+\frac{9}{48}=\frac{18}{48}=\boxed{\frac{3}{8}}[/tex]

Answer:

1. 3-5

2. 5-3

3. 3-5

4. 5-3

Step-by-step explanation:

This is simple! Just get rid of the parenthesis for each of the expressions shown.

3 + (-5)

the plus sign is next to the negative which is in the parenthesis. Negative times positive is equal to negative. The expression then becomes

3 - 5

Now do the same for the rest!

For things like 3 and 4, you can just flip it like 3-5 and 5-3 because it will all equal the same :]

Hope this helps !!

-Ketifa

Answer:

45

Step-by-step explanation:

15 x 3 = 45 - 3 = 42

The expected value, E(x) of the given observation is 185

The expected value is the mean of the overall observed value or random value. In other words, it is the average of the observed values.

The given parameters can be represented as:

[tex]\begin{array}{cccc}x & {100} & {200} & {300} \ \\ P(x) & {40\%} & {35\%} & {25\%} \ \end{array}[/tex]

The following formula calculates the expected value:

[tex]E(x) =\sum x * P(x)[/tex]

So, we have:

[tex]E(x) = 100 * 40\% + 200 * 35\% + 300 * 25\%[/tex]

[tex]E(x) = 40 + 70 + 75[/tex]

[tex]E(x) = 185[/tex]

Learn more about expected values at:

https://brainly.com/question/16726343

x+x+x+39=180 degrees. (The sum of the angles of a triangle is 180.)

Combine like terms:

3x+39=180

Solve for X

3x+39-39=180-39

3x=141

3x÷3=141÷3

x=47

The largest angle equals 47+39=86.

Now lets check it 47+47+86=180.

Answer:

not sure

Step-by-step explanation:

a+B+C+=d

Answer:

0.0036

Step-by-step explanation:

Given that :

Proportion of population that are math phobic = 6% = 6/100 = 0.06

P(math phobic) = 0.06

If two selections are made ; probability that both are math phobic ;

P1 = selection 1 = 0.06

P2 = selection 2 = 0.06

Probability that both are math phobic :

P1 * P2 = (0.06 * 0.06) = 0.0036

Answer:

0.16777216

Step-by-step explanation:

(. 8)^8=0.16777216

I strongly believe the answer is 2, if it isnt that it must be 3.

"Rotated around the origin", as the question actually says, puts it in Quadrant-II (2).

But the way you put the question, just saying the triangle is rotated 90°, leaves it right where it is, in Quadrant-I, with vertex-H on the bottom.

Answer:

15.5⁰ or approximately 16⁰

Step-by-step explanation:

let unknown side be x

cos x= 53/55

cos x= 0.9636

x=cos inverse of 0.9636

x=15.5⁰

Answer:

[tex]cosx = \frac{53}{55} \\ x = {cos}^{ - 1} ( \frac{53}{55} ) \\ x = 15.4987[/tex]

Answer:

a=40+8pi, p=4pi+4(sqrt of 29)

Step-by-step explanation:

rsm geometry class 122?

Answer:

????

Step-by-step explanation:

as in y = 4.95 + 3.99 or points? if so just draw a horizontal line at 8.94

Answer:

b appears to be correct

Step-by-step explanation:

Answer:

(x-3)^2+(y+1/2)^2=3.25

Step-by-step explanation:

The radius of the circle would be the midpoint of diameter. Radius is (3,-1/2) and the length would be 1.8.

Answer:

[tex]\sqrt{8}+\sqrt{9}[/tex]

Step-by-step explanation:

By definition, the conjugate of a binomial is when you switch the operator (either + or -) in between the terms. For example, the conjugate of [tex]a+b\sqrt{c}=a-b\sqrt{c}[/tex] as we are just changing the addition symbol (+) to a subtraction symbol (-).

Therefore, the conjugate of [tex]\sqrt{8}-\sqrt{9}[/tex] occurs when we change the subtraction symbol to an additional symbol, hence the answer is [tex]\boxed{\sqrt{8}+\sqrt{9}}[/tex]

Answer:

17000

Step-by-step explanation:

17^1 * 10^3

17 * 10*10*10

17*1000

17000

the answer is 17,000

the exponent shows how many times you multiply the number by itself

here is an image for an explanation

hope I helped ❤

Answer:

a) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

b) 0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

c) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Questions a/c:

Questions a and c are the same, so:

Event A: Brings lunch to work.

Event B: Is a woman.

Probability of a person bringing lunch to work:

9% of 15%(woman)

3% of 100 - 15 = 85%(man). So

[tex]P(A) = 0.09*0.15 + 0.03*0.85 = 0.039[/tex]

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

[tex]P(A \cap B) = 0.09*0.15[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.039} = 0.3462[/tex]

0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Question b:

Event A: Woman

Event B: Brings lunch

15% of the employees are women.

This means that [tex]P(A) = 0.15[/tex]

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

[tex]P(A \cap B) = 0.09*0.15[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.15} = 0.09[/tex]

0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

Step-by-step explanation:

By the law of exponent :

(a^n)^m=a^n×m

Option C

b^n×m is the correct answer...

hope it helps

Answer:

The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0096

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0096\frac{3.8}{\sqrt{50}} = 1.1[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 5.1 - 1.1 = 4

The upper end of the interval is the sample mean added to M. So it is 5.1 + 1.1 = 6.2.

The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).