Which number has only two factors?


A
23
B
27

C
25
D
21

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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The square root of y is not simplified and can be represented as:

y = √(\(2^4 \times\) 5) or y = 4√5.

To solve the proportion y/8 = 10/y for y, we can cross-multiply:

y \(\times\) y = 8 \(\times\)10

This simplifies to:

\(y^2\) = 80

To solve for y, we can take the square root of both sides of the equation:

\(\sqrt{y^2\) = √80

Since the square root of \(y^2\) is simply y, we have:

y = √80

The square root of 80 can be further simplified by breaking it down into its prime factors. Since 80 can be expressed as 2 \(\times\)2 \(\times\)2 \(\times\)2 \(\times\)5, we can simplify the square root:

y = \(\sqrt(2 \times 2 \times 2 \times 2 \times 5)\)

Therefore, the square root of y is not simplified and can be represented as:

y = \(\sqrt{(2^4 \times 5)\) or y = 4√5.

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Answer:

\(y = \sqrt{80\\} =4\sqrt{5}\)

Step-by-step explanation:

Answer:

it turns out google has the answer

Step-by-step explanation:

can i get brainlyest

Answer:

The range of the function is: -∞≤y≤∞.

Consider the provided function.

The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.

The range of a cubic root function is all real numbers.

Now consider the provided function.

The above function can be written as:

Taking cube on both sides.

The graph of the function is shown in figure 1:

For any value of x we can find different value of y.

Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is  -∞≤y≤∞ .

Therefore, the range of the function is: -∞≤y≤∞ (A).

Rectangle

A = b x h

=100 x 62

= 6200m^2

2 semi-circles make one full circle

Diameter is 62

Raduis is 31

A = 3.14 x 31 x 31

= 3017.54m^2

Total area:

6200m^2 + 3017.54m^2 = 9217.54

Ans: 9217.54m^2

Hope this helps!

Answer:

- 7 × i²⁹

Step-by-step explanation:

- 7 × i²⁹

Answer: -7 i

i kinda used g o o ogle but this is what it said, hope th is helps.

Answer:

24 - X = 10

Step-by-step explanation:

Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:

Since the bottle has 24 ounces of liquid, that is its initial content, from which an amount X is subtracted, after which 10 ounces of water remain. That is, 24 - X = 10.

Thus, this equation is solved in the following way:

24 - X = 10

24 = 10 + X

24 - 10 = X

14 = X

(D) |k - 7| < - 6 has no solution is not a true statement because an absolute value can never be negative, so the inequality has no solution.

Inequality refers to the state of being unequal or not equal in some respect. It can refer to various forms of disparities or differences, such as differences in income, wealth, education, opportunities, health, or social status, among others. Inequality can occur between individuals, groups, communities, or nations, and it can be caused by various factors, such as discrimination, historical legacies, social structures, policies, or economic systems. Inequality is often considered a social problem because it can lead to social tension, unrest, and injustice, as well as undermine economic growth and human development.

(D) |k - 7| < - 6 has no solution is not a true statement because an absolute value can never be negative, so the inequality has no solution.

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Answer:

Well this is just division

I’m sure you know how to divide fractions.

Always make them improper first and then multiply the reciprocal of the second given number

For example you have 3/5 ÷ 1/3

Its not mixed number so no need to convert into improper

So now you find the reciprocal of 1/3

The reciprocal is basically you jsut flipping it upside down

So 1/3 turns into 3/1

Now you ust multiply

3/5 * 3/1 which is 9/5 or 1 4/5

You are now being Told to find the comparison

TO find the comparison you jsut compare the 2 quotients

For example for number 1 we already knwo the first one which is 9/5

The second one is 1 1/5 ÷ 3/8.

Theres a mixed number so convert that into improper

You have to multiply the denominator with the whole number and then add that product to the numerator. Keep the denominator so in this case

1 1/5 is 6/5

6/5 ÷ 3/8

Follow the same rules as multiplying fractions

6/5 * 8/3

48/15

or 3 3/15 or 3 1/5

You can obviously see the difference becuase 1 4/5 < 3 1/5

So the answer here is ‘<“

Also if a scenario ends with something different without a common denominator, jsut cross multiply the 2 things and which ever side gets the greater number is the greater one.

Step-by-step explanation:

1 quotient 1 4/5

may paliwanag na sa iba pinsan

Answer: 7.1 feet is the answer

To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Step-by-step explanation:

Since lines p || q are parallel to one another, let us find all the 8 angles,

        1 and 7 are vertically opposite angles and they are equal;

    since angle 1 is 75°, then angle 7 is 75°

 Also, angle 7 and 5 are corresponding angles, corresponding angles are equal;

    So,

         angle 5  = 75°

 Angle 5 is vertically opposite to angle 3,

   So,

       angle 3  = 75°

To find angle 4,

    angle 4 and angle 5 are angles on a straight line;  

       sum of angles on a straight line = 180°

     angle 4 + angle 5  = 180°

     angle 4 = 180 - 75 = 105°

Angle 2 and Angle 4 are corresponding angles and they are equal;

    So angle 2 = 105°

Angle 4 and angle 6 are vertically opposite and they are equal;

   angle 6  =  105°

Angle 6 and 8 are corresponding angles, they are equal;

     angle 8 =  105°

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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Answer:

Step-by-step explanation:

Given that:

\(y^2 (y^2-4) = x^2(x^2 -5)\)

at point (0, -2)

\(\implies y^4 -4y^2 = x^4 -5x^2\)

Taking the differential from the equation above with respect to x;

\(4y^3 \dfrac{dy}{dx}-8y \dfrac{dy}{dx}= 4x^3 -10x\)

Collect like terms

\((4y^3 -8y)\dfrac{dy}{dx}= 4x^3 -10x\)

\(\dfrac{dy}{dx}= \dfrac{4x^3 -10x}{4y^3-8y}\)

Hence, the slope of the tangent line m can be said to be:

\(\dfrac{dy}{dx}= \dfrac{4x^3 -10x}{4y^3-8y}\)

At point (0,-2)

\(\dfrac{dy}{dx}= \dfrac{4(0)^3 -10(0)}{4(-2)^3-8-(2)}\)

\(\dfrac{dy}{dx}= \dfrac{0 -0}{4(-8)+16}\)

\(\dfrac{dy}{dx}= 0\)

m = 0

So, we now have the equation of the tangent line with slope m = 0 moving through the point (x, y) = (0, -2) to be:

(y - y₁ = m(x - x₁))

y + 2 = 0(x - 0)

y + 2 = 0

y = -2

Answer:

i think it is 340

Step-by-step explanation:

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

D. 30 sq in.

Step-by-step explanation:

10+9+6+5=30 sq in.

It is fair to assume that the spinner will land on an odd number 160 times.

The likelihood of landing on any one of the eight congruent portions of the spinner is 1/8. This information allows us to reasonably forecast the frequency with which the spinner will fall on an odd number.

The likelihood of landing on an odd number is 4/8 or 1/2 since the spinner has four odd numbers (1, 3, 5, and 7) and four even numbers (2, 4, 6, and 8). Thus, we may anticipate that the spinner will land on an odd number on average 50% of the time.

If the spinner is spun 320 times, we would expect it to land on an odd number about half of those times, or approximately:

(1/2) x 320 = 160

Therefore, the probability that the spinner will fall on an odd number 160 times is fair.

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A reasonable prediction for the number of times the spinner will land on an odd number is 160.

We have,

Since the spinner has eight congruent sections, each odd number (1, 3, 5, and 7) appears once on the spinner, and there are a total of four odd numbers.

Since the spinner is spun 320 times, we can expect each section of the spinner to be landed on equally, on average.

Therefore, the expected number of times the spinner will land on any one section is 320/8 = 40.

Since each odd number appears once on the spinner, we can expect the spinner to land on an odd number 4 times in every 8 spins, or once in every 2 spins.

Therefore, the expected number of times the spinner will land on an odd number in 320 spins is approximately 320/2 = 160.

Thus,

A reasonable prediction for the number of times the spinner will land on an odd number is 160.

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Answer:

b. 156

Step-by-step explanation:

180 - 29 = 151

x-5=151

x=151+5

Answer:

x = 156

Step-by-step explanation:

A straight line has an angle of 180 degrees. Subtract the known angle from 180:

180 - 29 = 151

The missing angle is 151 degrees. The value of x is 5 more, given 151 = ( x - 5 ).

151 + 5 = 156.

x = 156.

Hope that helped :)

Answer:

  $50,000

Step-by-step explanation:

The given relations can be used to write and solve an equation for the amount invested in stocks.

Let s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...

  0.18s +0.12(120,000 -s) = 17,400

Simplifying the equation, we have ...

  0.06s +14,400 = 17,400

  0.06s = 3000 . . . . . . . . . . subtract 14,400

  s = 50,000 . . . . . . . . . . . . divide by 0.06

Neal invested $50,000 in stocks.

__

Additional comment

The amount invested in bonds was 70,000. The profit earned was ...

  0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400

======================================================

Explanation:

The sequence 3, 6, 11, 18 has gaps of 3, 5, 7

Subtract the adjacent values to find the gaps.

If this pattern continues, then we'd have this extended sequence

3, 6, 11, 18, 27, 38, 51

We stop once we reach 40 or get over it

Notice that

The sequence {3,6,11,18,27,38} has 6 values listed. So 6 boxes will get a baseball card.

Answer: m∠A = 72°, m∠C = 56°

Step-by-step explanation: All triangles interior angles add up to 180, This is an isosceles triangle which by rule mean that angles m∠A and m∠B and the same value of 72°. Now it becomes an equation to find m∠C, of

72 + 72 + x = 180.

144 + x = 180

x = 56

Answer:

1. x=7

2. x=6

3. x=6

4. x=4

5.x=70 degrees

6. x=75 degrees

Step-by-step explanation:

My answers may not be correct.

\( = \: \: \: \sqrt[4]{ {x}^{3} + 15 \sqrt{x} + 75 \sqrt[4]{x} + 125 } \)

hope it helps

see the attachment

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

The test statistics is used to determine if the anxiety medication can happen under a null hypothesis

The test statistics that is an appropriate hypothesis test is \(z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}\)

40 milligrams of medication

Patients = 60

Lower stress level patients = 21

The mean of this medication is:

\(\bar x = \frac{x}{n}\)

So, we have:

\(\bar x_1 = \frac{21}{60}\)

\(\bar x_1 = 0.35\)

75 milligrams of medication

Patients = 85

Lower stress level patients = 34

The mean of this medication is:

\(\bar x = \frac{x}{n}\)

So, we have:

\(\bar x_2 = \frac{34}{85}\)

\(\bar x_2 =0.4\)

The test statistic is then calculated as:

\(z =\frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\bar x_1(1 - \bar x_1)}{n_1} + \frac{\bar x_2(1 - \bar x_2)}{n_2}}}\)

The equation becomes

\(z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}\)

Hence, the test statistics that is an appropriate hypothesis test is \(z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}\)

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The answer is not B.

Answer:

The answer is 24.1 unit²

Step-by-step explanation:

Volume of prisms=cross sectional area×h

cross sectional area=Volume of prisms/height

A=216.9/9

A=24.1 unit²

Since the ratio of consecutive outputs is not constant, the function is not an exponential function. Hence the function is neither linear nor exponential.

To determine whether the given function is linear, exponential, or neither, first compute the average rate of change of with respect to and then compute the ratio of the consecutive outputs.

If the average rate of change is constant, then the function is linear.

If the ratio of consecutive outputs is constant, then the function is exponential.

x    y       Average rate of change        ratio of consecutive outputs

-1    3         \(\frac{\delta y}{\delta x}=\)(6-3)/0-(-1)=3                     6/3=2

0    6        (12-6)/(1-0)=6                           12/6=2

1     12       (18-12)(2-1)=6                          3/2

2    18       (30-18)/(3-2)=12                      5/3

3    30          -                                        -

Observe the above table, for the given function, the average rate of change from  to  is , and from  to  is .

Since the average rate of change is not constant, the function is not a linear function.

Observe the above table, for the given function, the ratio of consecutive outputs from -1  to 0 is 2  from  0 to  1 is 2, and from 2 to 1  is3/2

Since the ratio of consecutive outputs is not constant, the function is not an exponential function.

Hence the function is neither linear nor exponential.

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No, the inference is not valid because it excluded those who were not online and so did not see the poll.

To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds

The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.

To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.

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