A researcher believes that 47.5% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50%, which is the same as in the general population. To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as the only child. Let ļ be the proportion of people in the sample with an IQ score above 100.

Answer:

this appears to already be in standard form?

Step-by-step explanation:

standard form has x and y on one side of the =

Answer:

the water tower casts 60 ft shadow its 120 ft tall

Step-by-step explanation:

Answer:

180 I hope this is the correct answer

It is concluded that TU ≅ UV is by the definition of congruence as shown in the solution part.

As per the given figure, the required proof would be as:

Statements:

1. U is the midpoint of SW.

2. T is the midpoint of SU.

3. V is the midpoint of UW.

4. TU || WV (by midpoint theorem)

5. TV || UW (by midpoint theorem)

6. UT = TV (by midpoint theorem)

7. UV = 2VT (by midpoint theorem)

Reasons:

1. Given.

2. Given.

3. Given.

4. Midpoint theorem.

5. Midpoint theorem.

6. Midpoint theorem.

7. Midpoint theorem.

Therefore, TU ≅ UV by the definition of congruence.

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Answer:

6/21

Step-by-step explanation:

Brainliest?

Answer:

2/7=6/21

Step-by-step explanation:

well uh, if you multiply the denominator which is 7 by 3 you get 21 so doing the same thing to the numerator (2*3) will result in the correct answer

Answer:

f(-12)=-18

Step-by-step explanation:

since we are replacing the x for -12 that means we will have the equation f(-12)=1/2(-12)-12 which would give us f(-12)=-6-12 which would equal -18 so the answer for f(-12) is -18

Answer: C

Step-by-step explanation:

You are trying to find the number of muffins Nola started the day with.

When she baked 21 muffins she gained 21 muffins (addition)

When she gave away 30 muffins she lost 30 muffins (subtraction)

The third equation has her gaining 21 muffins and losing 30 muffins for a final amount of 44 so it must be C

Answer:

15

Step-by-step explanation:

Answer:

There were 64 boys

Step-by-step explanation:

80/(4+1) is 16.

16*4 is 64

pls mark me brainliest if this helps :)

Answer:

37.5, i think

Step-by-step explanation:

Answer:

1. Grassland

2. grass

3. Temperate grassland

4. prairies

5. steppe

6. tropical grassland

7. savanna

8. intermountain grassland

9. mixed prairie

10. tallgrass prairie

Step-by-step explanation:

Answer:

$26 dollars

Step-by-step explanation: when you divide 156 divided by 6 you get 26

Answer:

26 dollars per ticket

Step-by-step explanation:

156/6=26

26x6=156

Answer:

one of the answers is 0 I am not sure about others

The values of a that make the determinant of matrix A equal to zero are 0 and 3/2.

To find the values of a that make the determinant of matrix A equal to zero, we need to calculate the determinant of A and set it equal to zero.

The determinant of a 3x3 matrix can be found using the formula:

det(A) = a(ei - fh) - b(di - fg) + c(dh - eg)

In this case, matrix A is:

A = \(\left[\begin{array}{ccc}a&3&8\\a&-8&3\\0&7&a\end{array}\right]\)

Plugging in the values into the determinant formula:

det(A) = a(-8a - 37) - 3(a3 - 07) + 8(a3 - 0(-8))

Simplifying further:

det(A) = -8\(a^{2}\) - 21a + 9a - 0 + 24a

= -8\(a^{2}\) + 12a

Now, we set the determinant equal to zero and solve for a:

-8\(a^{2}\) + 12a = 0

Factoring out an 'a':

a(-8a + 12) = 0

Setting each factor equal to zero:

a = 0 or -8a + 12 = 0

Solving the second equation for 'a':

-8a = -12

a = -12 / -8

a = 3/2

Therefore, the values of a that make the determinant of matrix A equal to zero are:

a = 0, 3/2

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The velocity of the ship is positive (+3 miles per hour). The correct answer would be an option (D).

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

The ship sailed north for 2 hours at an unknown speed, covering a distance of 2 hours × unknown speed = d₁ miles (where d₁ is the displacement of the ship while sailing north).

We know that d₁ = 15 miles.

Then, the ship turned south and traveled for 1 hour at a speed of 6 miles per hour, covering a distance of 1 hour × 6 miles = d₂ miles (where d₂ is the displacement of the ship while sailing south).

The total displacement of the ship is d₁ - d₂, because the ship traveled north and then south, so the southward displacement needs to be subtracted from the northward displacement.

Therefore, the total displacement is 15 miles - 6 miles = 9 miles to the north.

The time it took to cover this displacement is 2 hours + 1 hour = 3 hours.

So, the velocity of the ship is:

velocity = displacement/time

velocity = 9 miles / 3 hours

velocity = 3 miles per hour

Since north is taken as the positive direction, and the ship sailed north for a longer distance, the velocity of the ship is positive (+3 miles per hour).

Therefore, the correct answer is (D) 3 miles per hour.

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The probability of selecting a sample of 70 one-bedroom apartments and finding the mean to be at least $2,250 per month is approximately 0.9716.

To calculate the probability of finding a sample mean of at least $2,250 per month from a sample of 70 one-bedroom apartments, we need to use the z-score and the standard normal distribution.

First, we calculate the z-score using the formula:

z = (sample mean - population mean) / (population standard deviation / √sample size)

We have,

Sample size (n) = 70

Population mean (μ) = $2,300

Population standard deviation (σ) = $220

z = ($2,250 - $2,300) / ($220 / √70)

z = (-50) / ( $220 / √70)

Calculating the value inside the parentheses first:

$220 / √70 ≈ $26.28

Now we can calculate the z-score:

z ≈ (-50) / $26.28

Using a calculator, we find that z ≈ -1.9021 (rounded to 4 decimal places).

To find the probability of obtaining a z-score of at least -1.9021, we look up the corresponding area under the standard normal distribution curve.

P(z ≥ -1.9021) ≈ 0.9716

Therefore, the probability of selecting a sample of 70 one-bedroom apartments and finding the mean to be at least $2,250 per month is approximately 0.9716 (rounded to 4 decimal places).

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Answer:

b

Step-by-step explanation:

=0-(-x)

=0-×-x

=0+x

=x

Answer:

22 hours

Step-by-step explanation:

So, 143 equals eleven hours. 143 plus 143 would equal 243. So, you have two 143s which means you should multiply the 11 hours by two. 11x2 equals 22.

Answer:

Probably, 3/1.

Step-by-step explanation:

Just do the reverse of the instructions and you get your answer.

1+2=3

2-1=1

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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a. The population are all subscribers to Bloomberg BusinessWeek in North America.

b. The annual income is a quantitative variable.

c. The ownership of an American Express card is a categorical variable.

d. The study involves cross-sectional data.

e. Bloomberg BusinessWeek might infer that a part of its subscribers who has annual income of $75,000 or more are having an American Express credit card.

The population is the whole set of units from where information is to be obtained and about what inferences are to be made. The population of interest in this study are all subscribers to Bloomberg BusinessWeek in North America.

Quantitative variables are those which can be measured numerically. In this study, the annual income is a quantitative variable because it can be expressed in numbers.

Categorical variables are those which cannot be quantified. Categorical variable can only take on a fixed value. In this case, the question “Do you have an American Express credit card?” can only take on two values, Yes or No. Thus, the ownership of an American Express credit card is a categorical variable.

Cross-sectional data refers to data from many but similar individual groups at a given point in time. For e.g., prices of different varieties of rice on a particular day. In this study, the data gives two different values which describe the same population at the same time. So, it involves cross-sectional data.

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Although part of your question is missing, you might be referring to this full question: A Bloomberg BusinessWeek North American subscriber study collected data from a sample of 2861 subscribers. Fifty-nine percent of the respondents indicated an annual income of $75,000 or more, and 50% reported having an American Express credit card.

a. What is the population of interest in this study?

b. Is annual income a categorical or quantitative variable?

c. Is ownership of an American Express card a categorical or quantitative variable?

d. Does this study involve cross-sectional or time series data?

e. Describe any statistical inferences Bloomberg BusinessWeek might make on the basis of the survey.

The coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

To find the image of triangle ABC after a dilation with center (0,0) and a scale factor of 1/2, we need to multiply the coordinates of each vertex by the scale factor.

Let's suppose that the coordinates of the vertices of the original triangle ABC are:

A = (x₁, y₁)

B = (x₂, y₂)

C = (x₃, y₃)

Then, the coordinates of the image of A, B, and C after the dilation are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

Therefore, the coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

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Answer:

The value of x is 18

Step-by-step explanation:

24 x 15 is 360. ( x + 12 ) x 12 = 360 as well. So, 360÷12=30. 30-12 = 18. So the full equation is (18+12)x12=24×15 which are both equal to 360.

Leah may utilize gg, or the amount of gigabytes of data she can consume while keeping under her spending limit, by solving the equation 4g + 42= 48.80, where g has a value of 1.7.

She is known to pay a fixed fee of 42, therefore that number will serve as our constant. We may use 4g to symbolize the $4 per gigabyte utilized that she pays. 4g + 42 = 48.80 will be our equation.

To isolate g is what we want. We can do that by taking 42 off of both sides. The result is 4g = 6.8. Next, multiply each side by four. Thus, we have g = 1.7.

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positive association between adolescents spending more time on sedentary activities and having larger waistlines.  no association between leptin levels and the length of time patients have undergone hemodialysis.A 1 degree C increase in average temperature leads to apple and cherry trees in Germany blossoming nearly five days earlier, indicating a positive association.negative association between shorter plant heights and lower grain yields among different genotypes of wheat.

a)There is a positive association between adolescents spending more time on sedentary activities and having larger waistlines. This means that as adolescents spend more time on sedentary activities, their waistlines tend to increase. This association could be due to the fact that sedentary activities are typically low-energy activities, and as such, adolescents who engage in these activities may be less likely to be physically active and burning calories, which could lead to an increase in their waist size.

b)There is no association between leptin levels and the length of time patients have undergone hemodialysis. This means that the amount of time a patient has undergone dialysis does not have any effect on their leptin levels. This could be because the amount of time a patient has undergone dialysis does not necessarily affect the amount of leptin in their body.

c)A 1 degree C increase in average temperature between February and April leads apple and cherry trees in Germany to blossom nearly five days earlier. This indicates a positive association between an increase in temperature and earlier blossoming of apple and cherry trees in Germany. This could be because higher temperatures provide the ideal conditions for the trees to bloom earlier than they would if temperatures remained cooler.

d)Among different genotypes of wheat

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The x component and y component of the ball's final velocity is 7.3578 m/s and 4.9039 m/s respectively.

Velocity is a vector quantity which is the ratio of displacement to the time taken. It has both magnitude and direction.

We have,

Mass of the ball, m₁ = 6.35 kg and mass of the bowling pin, m₂ = 1.59 kg

Initial velocity of the ball, V₁ = 8.49 m/s along the X axis

Final velocity of the pin = 20.1 m/s at an angle -77°

We have the rule of conservation of momentum,

m₁ V₁ + m₂ V₂ = m₁ v₁ + m₂ v₂, where V₁ and V₂ are initial velocities of the two objects and v₁ and v₂ are final velocities of the two objects.

Also Final velocity along X axis = v cos θ and along Y axis = v sin θ

Let \(v_f_x\) and \(v_f_y\) be the a and y components of the final velocity of the ball.

We have that law of conservation of momentum along X axis can be represented as,

m₁ V₁ + m₂ V₂ = m₁ \(v_f_x\) + m₂ v₂

(6.35 × 8.49) + (1.59 × 0) = (6.35 × \(v_f_x\) ) + (1.59 × 20.1 cos (-77°))

We have cos (-77°) = 0.22495

Simplifying,

\(v_f_x\) = [(6.35 × 8.49) - (1.59 × 20.1 × 0.22495)] / 6.35

\(v_f_x\) = 7.3578 m/s

Similarly, law of conservation of momentum along the y axis can be represented as,

(6.35 × 0) + (1.59 × 0) = (6.35 × \(v_f_y\) ) + (1.59 × 20.1 sin (-77°))

We have sin (-77°) = -0.97437

Simplifying,

\(v_f_y\) =  - (1.59 × 20.1 × -0.97437 ) / 6.35

\(v_f_y\) =  4.9039 m/s

Hence the x component of the final velocity of ball is 7.3578 m/s and y component of the same is 4.9039 m/s.

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Answer:

3:5

Step-by-step explanation:

3, 6, 9.

5, 10, 15.

always see which numbers fit and which numbers dont

Answer:

9:24 is the ratio.

Step-by-step explanation:

The capacity of the tank in cubic inches are 6694. 7 in³

To determine the value, we have to know the formula for the volume of a rectangular shape.

The formula for calculating the volume of a rectangle is expressed as;

V = lwgh

Such that the parameters are expressed as;

Now, substitute the values, we have;

Volume = 193/8 × 37/2 × 15

Multiply the values, we have that;

Volume = 107, 115/16

Divide the values, we have;

Volume = 6694. 7 in³

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