A pitcher throws a baseball.
The path of the ball is modeled by the equation p(x) = - 0.013x2 + 0.02x + 7.4.
How high was the ball when it left the pitcher's hand?

Answer:

\(to \: know \: the \: answer \: \)

\(refer \: to \: the \: above \: attatchment\)

If a matrix is diagonalizable then it is invertible is False.

A matrix can be diagonalizable but not invertible. For example, the zero matrix (a matrix where all entries are 0) is diagonalizable but not invertible.

What is diagonalizable metrix?

A diagonalizable matrix is a square matrix that can be transformed into a diagonal matrix through a similarity transformation. In other words, a matrix A is diagonalizable if there exists an invertible matrix P and a diagonal matrix D such that A = PDP⁻¹.

Geometrically, diagonalizable matrices represent linear transformations that stretch or shrink the space along a set of independent directions, which are called eigenvectors. The diagonal entries of the diagonal matrix D correspond to the eigenvalues of A, which represent the scaling factors along these directions.

Not all matrices are diagonalizable. A matrix is diagonalizable if and only if it has a sufficient number of linearly independent eigenvectors. In particular, symmetric matrices are always diagonalizable, and non-diagonalizable matrices are often associated with non-invertible linear transformations or defective geometric structures.

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Complete question is: If a matrix is diagonalizable then it is invertible is False.

Answer:

it is not linear

Step-by-step explanation:

The 90% confidence interval for the proportion of all adults in the United States who own an e-reader is 0.32 ± 1.645 * √(0.32 * 0.68 / 1,005). This corresponds to option (B) in your list of choices.

The appropriate formula for calculating the confidence interval for a proportion is:

sample proportion ± z*standard error

where z is the z-score corresponding to the desired level of confidence (90% in this case) and the standard error is:

sqrt((sample proportion*(1-sample proportion))/sample size)

Plugging in the values given in the question, we get:

sample proportion = 0.32
sample size = 1005
z-score for 90% confidence = 1.645 (option B)
standard error = sqrt((0.32*(1-0.32))/1005) = 0.015

So the appropriate 90% confidence interval is:

0.32 ± 1.645(0.015)
= 0.32 ± 0.025
= (0.295, 0.345)

Therefore, the correct answer is option B: 0.32 +1.645,10.3270.68

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

We cannot construct such an interval using the normal approximation.

Null Hypothesis: The heart transplant procedure did not alter the survival rates of the observed patients. Alternate Hypothesis, Ha: The claim was that the patients getting a heart transplant were more likely to survive than those who did not.

Normal distribution is the approximation for large distribution from binomial, poisson distribution etc. Moreover, the variables are discrete and few; and instead of the actual observations we are working on counts data. In the given situation it is preferred to use chi square distribution. As chi square test is used we can check whether the two groups are the same or different. Therefore, it is not possible to construct a confidence interval.

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The current value of Certificate A is approximately $4322.41, and the current value of Certificate B is approximately $4319.03.

For Certificate A the first payment of $2200 is received in three months. The second payment of $2200 is received in six months.

PV = CF / (1 + r)ⁿ

PV = Present Value

CF = Cash Flow

r = Rate of return

n = Number of periods

n = 3/12

n = 0.25

PV₁ = \(\frac{2200}{(1+0.455)^{0.25}}\)

PV₁= 2200 / 1.011349

PV₁ = 2174.24

n = 6/12

n = 0.5

PV₂ =  \(\frac{2200}{(1+0.455)^{0.5}}\)

PV₂ = 2200 / 1.022595

PV₂ = 2148.17

Therefore, the current value of Certificate A is approximately $2174.24 + $2148.17 = $4322.41.

For Certificate B the first payment of $2200 is received in four months. The second payment of $2200 is received in seven months.

PV₁ =  \(\frac{2200}{(1+0.455)^{\frac{6}{12} } }\)

PV₁ = 2200 / 1.014674

PV₁ = 2161.40

PV₂ = \(\frac{2200}{(1+0.455)^{\frac{7}{12} } }\)

PV₂ = 2200 / 1.018202

PV₂ = 2158.63

Therefore, the current value of Certificate B is approximately $2161.40 + $2158.63 = $4319.03.

The current value of Certificate A is approximately $4322.41, and the current value of Certificate B is approximately $4319.03.

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Answer:

I would say C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You can simplify it into 3 and 2.25. This can be averaged into 2. So, 2 feet for every second. :)

I don't know the choices for the bottom questions, but the answer is x>2, meaning any number higher than 2 works, or any number below 2 doesn't work.

The probability that a black card is chosen first and a heart is chosen second is one-eighth (1/8).

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

Let P(E) = probability of selecting a black card first and a heart second

If two cards are chosen at random from a deck, one at a time, and replaced after each pick, then the P(E) is equal to the product of the probability selecting a black card and the probability of selecting a card that is heart.

For a deck of 52 cards, 26 are black, and 13 are hearts.

P(E) = P(black, heart)

P(E) = (26/52)(13/52)

P(E) = 1/8

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Answer: The critical value is a value used in hypothesis testing to determine the rejection or acceptance of a null hypothesis. The critical value is determined based on the significance level of the test and the degrees of freedom. The critical value is usually determined from a table or calculated using statistical software.

Here are the general steps to calculate the critical value:

Determine the significance level, denoted by α. This is the probability of making a Type I error, which is the probability of rejecting a true null hypothesis.

Determine the degrees of freedom, which depend on the specific test and sample size.

Look up the critical value in a table of critical values for the appropriate significance level and degrees of freedom. These tables are available in most statistics textbooks or can be found online.

If a table is not available, the critical value can be calculated using statistical software or a calculator that provides a cumulative distribution function for the appropriate distribution. For example, the critical value for a two-tailed t-test can be calculated in R using the qt function. The syntax is qt(1-α/2, df), where α is the significance level and df is the degrees of freedom.

Note that the critical value will depend on the specific hypothesis test being performed and the null and alternative hypotheses. It is important to choose the correct test and use the appropriate critical value to ensure accurate results.

Step-by-step explanation:

Answer:

54,112 miles

Step-by-step explanation:

304/4= 76

76(712)= 54112

Answer:

$15

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Divide $45 by 3 and you get $15.

If a sentence has "of" in it means to multiply, and the opposite of multiplication is division.

Check; 15 x 3 = 45.  15, 30, 45

Hope this helps!

-Jerc

Answer:

Sarah sold 30 pairs of sneakers in 12 hours.

Step-by-step explanation:

2 hours = 5 pairs of sneakers

2 x 6 = 12

5 x 6 = 30

12 hours = 30 pairs of sneakers

Answer:

hope it helps.

Answer:

\(\frac{-1}{2} <x<\frac{2}{3}\)

Step-by-step explanation:

6x² - x - 2 < 0

6x² - 4x + 3x - 2 < 0

(6x² - 4x) + (3x - 2) < 0

2x(3x - 2) + (3x - 2) < 0

(3x - 2)(2x + 1) < 0

\(\left \{ {{3x - 2<0} \atop {2x + 1>0}} \right.\)

\(\left \{ {{3x<2} \atop {2x>-1}} \right.\)

\(\left \{ {{x<\frac{2}{3} } \atop {x>\frac{-1}{2} }} \right.\)

Answer:

x = 26

Step-by-step explanation:

Take the sides in proportion.

\(12x-4 < 3\)

Add 4 to both sides:

\(12x-4+4 < 3+4\)

\(12x < 7\)

Divide both sides by 12:

\(\dfrac{12x}{12} < \dfrac{7}{12}\)

\(\fbox{x} < \fbox{$\dfrac{7}{12} $}\)

__________________________________________________________

\(7\leq 3x+5\)

Flip:

\(3x+5\geq 7\)

Subtract 5 from both sides:

\(3x+5-5\geq 7-5\)

\(3x\geq 2\)

Divide both sides by 3:

\(\dfrac{3x}{3} \geq \dfrac{2}{3}\)

\(\fbox{x}\geq \fbox{$\dfrac{2}{3} $}\)

Answer:

Carl lives seven blocks away from Ann

Step-by-step explanation:

You start at Ann's house ( 0 ) 0+5+2=7

Beth is five blocks from Ann ( 5 )

Carl lives two blocks from Beth ( 2 )

Answer:

carl can be at 4 or 2

Step-by-step explanation:

Answer:

(4, 18)

Step-by-step explanation:

(5 + 3)/2 = 8/2 = 4

(21 + 15)/2 = 36/2 = 18

Answer: (4, 18)

Answer:

(4, 18)

Step-by-step explanation:

(5 + 3)/2 = 4

(21 + 15)/2 = 18

Answer:

$1.90  1 9/10

Step-by-step explanation:

5 1/2= $5.50

5.50+2.60= 8.10

10-8.10= $1.90

Here you go. This is the graph of the function:

y - 3 = 2(x - 5)

Answer:

slope = 2  y intercept = ( 0, -7 )

Step-by-step explanation:

x       y

0      -7

7/2    0

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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Answer:

2x^2+4x+11

Step-by-step explanation:

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

D or 3800

Step-by-step explanation:

Just divided 855 by 45 then multiplied 200 by 19

Please mark me brainlest

Answer:

15/2 miles or 7 1/2 miles per hour.

Step-by-step explanation:

We can write the ratio shown as 5 : 2/3. We would need to divide both sides by 2/3 to get our answer. 2/3÷2/3=1 and 5÷2/3 would be 15/2. So the ratio would now look like this: 15/2 : 1. Hope this helped.

The average speed is 7.5 miles/h

The average speed of a body is equal to the total distance covered, divided by the total time taken. The formula for average speed is given as:

Average Speed Formula:

Average Speed = Total distance covered ÷ Total time taken

given:

distance= 5 miles =

time= 2/3 hour

So, average speed

=distance/ time

=5/ 2/3

= 15/2

=7.5 miles/ h

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The missing number in the table is 1296

The y-values of the table form a geometric sequence as shown:

6, 36, 216,......

The nth term of a geometric progression is expressed using the formula;

\(T_n=ar^{n-1}\)

Substitute the given parameters into the formula:

\(T_5=6(6)^{4-1}\\T_5=6(6)^3\\T_5=1296\)

Hence the missing number in the table is 1296

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Answer:

1296

Step-by-step explanation:

A right isosceles triangle is a triangle with a right angle (90 degrees) and two sides that are equal in length. This means that the triangle is also a special case of an isosceles triangle where the two equal sides are adjacent to the right angle.

To identify a right isosceles triangle among a group of shapes, you should look for the shape that has a right angle and two sides of equal length. One way to check for the right angle is to look for a corner that forms a square angle (i.e., 90 degrees), and one way to check for the equal sides is to compare the length of each side.

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The following question may be like this:

What is a right isosceles triangle?

The people crania cranberry juice in a group of 350 people will be 250.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that out of seven people, five people prefer crania cranberry juice.

Out of  350 people, the number of people who prefer crania cranberry juice will be calculated as:-

Number of people = ( 5 / 7 ) x 350

Number of people = ( 5 x 50 )

Number of people = 250

Therefore, the people crania cranberry juice will be 250 in a group of 350.

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Strange Times Inc. would recognize interest revenue of approximately $1,800 for Year 1.

To determine the interest revenue recognized for Year 1, we need to calculate the implied interest on the zero-interest bearing note. The implied interest rate is given as 6%.

The formula to calculate interest revenue is:

Interest Revenue = Principal Amount × Interest Rate.

In this case, the principal amount is $60,000. Multiplying it by the interest rate of 6% gives us $3,600, which represents the total interest for the two-year period. Since we are interested in the interest revenue for Year 1, we need to apportion this total amount accordingly.

To determine the interest revenue for Year 1, we divide the total interest by the number of years, which is 2, and round the result to the nearest dollar. So, $3,600 divided by 2 is $1,800. Therefore, Strange Times Inc. would recognize approximately $1,800 as interest revenue for Year 1.

It's important to note that the interest revenue recognized represents the amount of revenue related to the time period of Year 1 only. As the note is zero-interest bearing, the entire interest revenue is recognized upfront based on the implied interest rate.

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The weight of the other person has to be the same in order for the seesaw to be balanced, then the person on the other side weighs 100 pounds as well. Now, we know that:

Then to find the mass we just multiply the weight in pounds by 0.45:

Therefore the other person has a mass of 45 kg.

The weight of the other person has to be the same in order for the seesaw to be balanced, then the person on the other side weighs 100 pounds as well. Now, we know that:

Then to find the mass we just multiply the weight in pounds by 0.45:

Therefore the other person has a mass of 45 kg.