What are the zeros of a
quadratic equation written in intercept form?

Answer

she will need to invest 77 dllors

Step-by-step explanation:

The correct answer is B. $1,000. According to a survey conducted by Bankrate in 2019, 48% of Americans reported having less than $1,000 in savings.

This can be calculated using the following formula:

Percentage of Americans with less than $1,000 in savings = (Number of Americans with less than $1,000 in savings / Total number of Americans surveyed) x 100

Using the data from the survey, the formula can be expressed as follows:

Percentage of Americans with less than $1,000 in savings = (11,094 / 23,064) x 100 = 48.1%

This means that nearly half of all Americans reported having less than $1,000 in savings. This is a concerning statistic, as it indicates that many Americans are not preparing adequately for financial emergencies.

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The dairy farmer used the relative frequency method of probability to reach his conclusion.

Relative frequency is a method of calculating probability that is based on the observation of how often an event occurs in a sample. The farmer likely observed how often he gets between 12 and 14 gallons of milk in a day and used that data to calculate the probability of it happening.

In contrast, theoretical probability is based on the assumption that all possible outcomes are equally likely. It is calculated by dividing the number of desired outcomes by the total number of possible outcomes.

Therefore, the correct answer is relative frequency.

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Answer:?

Step-by-step explanation:

The statement is false.

It will take Lars approximately 4.008 hours to dig across the garden.

The circumference of the circular garden is 151 yards, so its radius can be found as follows:

Circumference = 2πr

151 = 2 × 3.14 × r

r ≈ 24.05 yards

The diameter of the garden is twice the radius, so it is 48.1 yards long.

Lars is digging a straight line along the diameter of the garden at a rate of 12 yards per hour. So, he will complete digging the diameter in:

Time = Distance / Speed

Time = 48.1 / 12

Time ≈ 4.008 hours

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Answer:

44.090909... =44.1 (when rounded)

Step-by-step explanation:

added together, it is 485

divide that by amount there is, which is 11

answer is 44.090909...

rounded up is 44.1

hope this helps

take care

-kitten

Answer:

k = - \(\frac{3h}{h+1}\)

Step-by-step explanation:

Given

h(k + 6) = 3h - k ← distribute parenthesis on left side

hk + 6h = 3h - k ( add k to both sides )

hk + k + 6h = 3h ( subtract 6h from both sides )

hk + k = - 3h ← factor out k from each term on the left side

k(h + 1) = - 3h ( divide both sides by (h + 1) )

k = - \(\frac{3h}{h+1}\)

Answer:

I think they are both incorrect :(

Step-by-step explanation:

Please forgive me if I am wrong :)

The least whole number possibility for the third side is 8 cm. The greatest whole number possibility for the third side is 22 cm.

A triangle is a three-sided polygon. It is a geometric shape that has three edges and three vertices. Triangles can be classified based on their side lengths (such as equilateral, isosceles, or scalene) or based on the angles between their sides (such as acute, right, or obtuse). Triangles are a fundamental shape in geometry and are used in many branches of mathematics and physics. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Using this rule, we can find the possible range of values for the third side of the triangle.

The least possible length of the third side would be:

8.5cm + 15cm - 15cm = 8.5cm

The greatest possible length of the third side would be:

(8.5cm + 15cm) - 1cm = 22.5cm

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The correct answer is B) She is 95% confident that the true mean length of this species after five weeks of life is between 8.5 and 11.9 inches.

The 95% confidence interval (CI) is a range of values that we are 95% confident contains the true population parameter (in this case, the mean length of the fish species after five weeks of life). The supervisor cannot say with certainty that 95% of all fish of this species are between 8.5 and 11.9 inches long (A), as the CI only pertains to the mean length. She can also not say with certainty that 95% of all fish of this species that are five weeks mature are between 8.5 and 11.9 inches long (D), as the sample was randomly selected and may not represent the entire population.

The correct answer is B, as she is 95% confident that the true mean length of this species after five weeks of life is between 8.5 and 11.9 inches. This means that if she were to repeat the experiment many times and construct a CI for each sample, 95% of those intervals would contain the true population mean. Finally, option C is similar to option B and could also be considered correct.

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Answer: 3.078139077

Step-by-step explanation:

Use the 1st digit 2 from dividend 2367800.

Since 2 is less than 769231, use the next digit 3 from dividend 2367800 and add 0 to the quotient.

Use the 2nd digit 3 from dividend 2367800.

Since 23 is less than 769231, use the next digit 6 from dividend 2367800 and add 0 to the quotient.

Use the 3rd digit 6 from dividend 2367800

Since 236 is less than 769231, use the next digit 7 from dividend 2367800 and add 0 to the quotient.

Use the 4th digit 7 from dividend 2367800.

Since 2367 is less than 769231, use the next digit 8 from dividend 2367800 and add 0 to the quotient.

Use the 5th digit 8 from dividend 2367800.

Since 23678 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 6th digit 0 from dividend 2367800.

Since 236780 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 7th digit 0 from dividend 2367800.

Find closest multiple of 769231 to 2367800. We see that 3×769231=2307693 is the nearest. Now subtract 2307693 from 2367800 to get reminder 60107.

Add 3 to quotient.

Quotient: 3

Reminder: 60107

It's not as difficult as it looks.

✨

Answer:

45600 cm = 45600 mL

Step-by-step explanation:

1 milliliter = 1 cubic centimeter

The exchange rate of the euro/pound expressed to four decimal places is 1.0100 euro/pound.

To find the exchange rate of the euro/pound, we can use the given exchange rates of dollar/pound and dollar/euro.

Let's denote the exchange rate of euro/pound as E.

Given:

Exchange rate of dollar/pound = 1.21 dollar/pound

Exchange rate of dollar/euro = 1.22 dollar/euro

To find the exchange rate of euro/pound, we can divide the exchange rate of dollar/euro by the exchange rate of dollar/pound:

E = (Exchange rate of dollar/euro) / (Exchange rate of dollar/pound)

E = 1.22 dollar/euro / 1.21 dollar/pound

Simplifying this expression, we get:

E = 1.01 euro/pound

Therefore, the exchange rate of the euro/pound, is 1.0100 euro/pound.

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To solve this problem, we'll use the estimated regression equation and the given data. Let's calculate the requested values step by step:

a. Point estimate of the starting salary for a student with a GPA of 3.0:

Using the estimated regression equation:

Estimated Salary = 2090.5 + 581.1 * x

Substituting x = 3.0:

Estimated Salary = 2090.5 + 581.1 * 3.0

Estimated Salary = 2090.5 + 1743.3

Estimated Salary ≈ 3833.8

Therefore, the point estimate of the starting salary for a student with a GPA of 3.0 is approximately $3833.8.

b. 95% confidence interval for the mean starting salary for all students with a 3.0 GPA:

To calculate the confidence interval, we'll use the formula:

Confidence Interval = Estimated Salary ± t * (Standard Error)

The standard error (SE) can be calculated using the Mean Squared Error (MSE). In this case, MSE = 21,284. Therefore, SE = √MSE = √21,284 ≈ 145.89.

The t-value depends on the sample size and the desired confidence level. Since the sample size is not provided, we'll assume a reasonably large sample and use a t-value for a 95% confidence level. For a large sample, the t-value is approximately 1.96.

Confidence Interval = Estimated Salary ± t * (Standard Error)

Confidence Interval = 3833.8 ± 1.96 * 145.89

Calculating the confidence interval:

Confidence Interval = (3833.8 - 1.96 * 145.89, 3833.8 + 1.96 * 145.89)

Confidence Interval ≈ (3546.16, 4121.44)

Therefore, the 95% confidence interval for the mean starting salary for all students with a 3.0 GPA is approximately ($3546.16, $4121.44).

c. 95% prediction interval for Ryan Dailey, a student with a GPA of 3.0:

The prediction interval takes into account the variability of individual observations. To calculate the prediction interval, we'll use the formula:

Prediction Interval = Estimated Salary ± t * (Standard Error)

Using the same values as in part b, the prediction interval is:

Prediction Interval = 3833.8 ± 1.96 * 145.89

Calculating the prediction interval:

Prediction Interval = (3833.8 - 1.96 * 145.89, 3833.8 + 1.96 * 145.89)

Prediction Interval ≈ (3546.16, 4121.44)

Therefore, the 95% prediction interval for Ryan Dailey, a student with a GPA of 3.0, is approximately ($3546.16, $4121.44).

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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer:

2 hours

Step-by-step explanation:

9.6/(60/5 x 0.4) = 2 hours

/ = divide

x = multiply

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

This prompt is about being able to represent time and distance on a graph called Distance-Time Graph. See the graph attached.

A Distance-Time Graph is a sort of graph that depicts the relationship between distance and time for a moving object.

It is a handy tool for studying an object's motion since it allows one to simply ascertain the object's speed and acceleration. It is also significant because it gives a visual depiction of an object or subject's motion, making the underlying physical ideas easier to grasp.

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Full Question:

Tanisha left her house at time zero and drove to the store, which is 8 blocks away, at a speed of 4 blocks per minute. Then she stopped and went into the store for 3 minutes. From there, she drove in the same direction at a speed of 3 blocks per minute until she got to the bank, which is 12 blocks away from the store. She stopped at the bank for 7 minutes. Then she drove home at a speed of 5 blocks every 2 minutes. Make a graph of showing the number of blocks away from home that Tanisha is xx minutes after she leaves her house, until she gets back home.

Make a graph of showing the number of blocks away from home that Tanisha is x minutes after she leaves her house, until she gets back home.

The friend is correct. Split the 2D figure as indicated in the diagram below. The rectangle on the left rotates to form the cylinder. The triangle rotates to form the cone. Think of these as like a revolving door that carves out a 3D shape. Or you could think of propellers.

Answer:

yes

Step-by-step explanation:

all numbers are integers

The exponential regression equation that was obtained from the graphing calculator is y = 7.355 * (10.579)ˣ

The correct option is D.

Step 1: Exponential regression equation:

The exponential regression equation provided by the graphing calculator is given as:

where the values of a and b represent the coefficients in the equation, and x represents the independent variable.

Step 2: The information that was returned by the calculator is;

a = 7.354734813

a = 7.355 rounded to 3 decimal places

b = 10.57922764

b = 10.579 rounded to 3 decimal places

Step 3:

Substituting the values of a and b in the exponential regression equation  by the graphing calculator;

the exponential regression equation is:

y = 7.355 * 10.579ˣ rounded to 3 decimal places

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Answer:

71

Step-by-step explanation:

100÷7≈14.1

14.1×5=70.5

70.5 rounded to the nearest whole number is 71

Answer:

m'n' equals 13

Step-by-step explanation:

39 divided by 1/3 equals 13

Answer:

0.4987

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

x is the value to evaluate, m the mean, sd the standard deviation

So for 80 we have:

z = (80 - 80) / (3)

z = 0

and this value represents 0.5

for 89 we have:

z = (89 - 80) / (3)

z = 3

and this value represents 0.9987

we subtract:

0.9987 - 0.5 = 0.4987

Which means that it represents 49.87%

The area of the rectangle is 81 square units and the perimeter of the rectangle is 36 units.

We have been given the rectangle with coordinates (3,0), (3,7), (6, 7) and (6, 0)

We need to find the perimeter and area of the rectangle.

Using the distance formula we find the length and width of the rectangle.

d1 = √(-2 - 7)² + (3 - 3)²

d1 = √(-9)²

d1 = 9

And d2 = √(-2 + 2)² + (-6-3)²

d2 = √(-9)²

d2 = 9

d3 = √(7 + 2)² + (-6 + 6)²

d3 = 9

This means, the length and width of the rectangle are equal i.e., 9 units.

So, the perimeter would be,

P = 4 * 9

P = 36 units

And the area would be A = 9 * 9

A = 81 square units

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Answer:

First option

Step-by-step explanation:

this is because the absolute value of x being 3 means it could be -3 or 3