is a triangle with the lengths 10, 24, and 27 a right, acute, or obtuse

Answer:

1570 meters

Step-by-step explanation:

The circumference of a circle is 2πr, so we would start by finding the radius. The radius is half of the diameter, so r=1/2(500)=250. We would then plug in numbers to the equation getting:

2(250)(3.14)

=500(3.14)

=1570 meters

Answer:

-18 + -5

Step-by-step explanation:

Because -18 - 5 is an inverse equation, that means that we are doing one equation that looks like something it usually doesn't. When subtracting a negative and a positive in that order, the result will be the sign of the greater value(-18), so the result will be negative. Subtracting a big number that's a negative by a smaller number that's a positive is the same as adding the same numbers together as if they are both negatives. E.g, -4 - 2 = -4 + -2.

Hope this helps!

The estimate for f(4.8) using the local linear approximation for f at x= 5 is obtained as 2.2.

For the stated function;

f(5)=3 and f′(5)=4

the linear approximation indicates that you believe the function is linear.

So just do this:

f(5) + f'(5) (x-5)

Put the values in the obtained function;

In this particular instance, it works out.

= 3 + 4 (4.8 - 5)

= 3 + 4 (-0.2)

= 2.2

Thus, the estimate for f(4.8) using the local linear approximation for f at x= 5 is obtained as 2.2.

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The red car's speed is 30 mph and the blue car's speed is 50 mph.

To find the speed of the blue and red cars, we will use the formula distance = rate × time. We know that the cars travel in opposite directions, so their distances add up to 320 miles. Let's denote the speed of the red car as 'R' and the speed of the blue car as 'B'. The blue car travels 20 mph faster than the red car, so B = R + 20.
Since both cars travel for 4 hours, we can write their individual distances as follows:
Red car's distance = R × 4
Blue car's distance = B × 4
Since the total distance covered is 320 miles, we can write the equation:
(R × 4) + (B × 4) = 320
Now, we can substitute B with (R + 20) from our earlier equation:
(R × 4) + ((R + 20) × 4) = 320
Expanding and simplifying the equation, we get:
4R + 4(R + 20) = 320
4R + 4R + 80 = 320
Combining the like terms, we get:
8R = 240
Now, we can solve for R (the red car's speed) by dividing by 8:
R = 240 / 8
R = 30 mph
Now that we have the red car's speed, we can find the blue car's speed:
B = R + 20
B = 30 + 20
B = 50 mph
So, the red car's speed is 30 mph and the blue car's speed is 50 mph.

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The solution  \(P(x \leq 4),p{x= 3), p(2 \leq * \leq 4)\)  is mathematically given as

Generally, the equation for the Probability of P(X=3) is mathematically given as

b)

\(P(X=3) = P(X \leq 3)-P(X\leq 2)\)

Therefore

\(P(X=3)= 0.65-0.48\)

P(X=3)= 0.17

c)

\(P(2\leq X\leq 4) = P(X\leq 4)-P(X\leq 1)\\\\\\P(2\leq X\leq 4) = 0.84-0.31'\)

\(P(2 < =X\leq 4)=0.53\)

a)

\(P(2\leq X\leq 4)=0.84\)

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We know that

• The large dog cage costs $98.50.

• The wholesale costs $63.55.

The markup is the difference between the wholesale and the retailer price, that is, it represents the earnings. Let's subtract.

Then, we divide to find the percentage.

We multiply by 100 to express the number in percentage.

Answer:

B

( temp starts at 70 and DECREASES 8 per HOUR )

a. The appropriate model for the random variable A is the binomial distribution.

b. The probability that Alex gets at most five questions correct can be calculated using the binomial distribution formula.

c. The probability that Alex gets at least seven questions correct can also be calculated using the binomial distribution formula.

d. The probability that Alex gets no more than three questions correct can be calculated using the binomial distribution formula.

e. E(A/4) represents the expected value of A divided by 4, which is the average number of correct answers Alex is expected to get per question.

f. The probability that Alex scores more than expected would depend on the specific values of the expected value and the distribution of the random variable.

g. The expected value of Alex's total points can be calculated by multiplying the expected number of correct answers by 4 and subtracting the expected number of incorrect answers multiplied by 1.

h. The probability that at least two of the four students will get seven or more questions correct would involve calculating the probabilities for each possible combination of students using the binomial distribution and summing them up.

What is probability?

Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event.

a. The appropriate model for the random variable A, the number of questions Alex gets correct, is the binomial distribution.

b. To find the probability that the number of questions Alex gets correct is at most five, we need to calculate P(A ≤ 5) using the binomial distribution formula.

This involves summing up the probabilities of getting 0, 1, 2, 3, 4, or 5 questions correct. The specific values will depend on the probability of guessing a question correctly.

c. To find the probability that the number of questions Alex gets correct is at least seven, we need to calculate P(A ≥ 7) using the binomial distribution formula. This involves summing up the probabilities of getting 7, 8, 9, ..., 25 questions correct. Again, the specific values will depend on the probability of guessing a question correctly.

d. To find the probability that the number of questions Alex gets correct is no more than three, we need to calculate P(A ≤ 3) using the binomial distribution formula. This involves summing up the probabilities of getting 0, 1, 2, or 3 questions correct.

e. E(A/4) represents the expected value of A divided by 4. The expected value is calculated by multiplying each possible outcome by its probability and summing them up. Dividing by 4 scales down the expected value. The interpretation of E(A/4) is the average number of correct answers Alex is expected to get per question.

f. To find the probability that Alex scores more than expected, we would need to compare the actual number of questions he gets correct to the expected value. The probability would depend on the specific values of the expected value and the distribution of the random variable.

g. If a correct answer is awarded 4 points and an incorrect answer incurs a penalty of 1 point, we can calculate the expected value of Alex's total points by multiplying the expected number of correct answers by 4 and subtracting the expected number of incorrect answers and multiply it by 1.

h. To find the probability that at least two of the four students will get seven or more questions correct, we would need to calculate the probabilities for each possible combination of students getting seven or more questions correct (e.g., 2 students, 3 students, 4 students) using the binomial distribution, and sum them up.

a. The appropriate model for the random variable A is the binomial distribution.

b. The probability that Alex gets at most five questions correct can be calculated using the binomial distribution formula.

c. The probability that Alex gets at least seven questions correct can also be calculated using the binomial distribution formula.

d. The probability that Alex gets no more than three questions correct can be calculated using the binomial distribution formula.

e. E(A/4) represents the expected value of A divided by 4, which is the average number of correct answers Alex is expected to get per question.

f. The probability that Alex scores more than expected would depend on the specific values of the expected value and the distribution of the random variable.

g. The expected value of Alex's total points can be calculated by multiplying the expected number of correct answers by 4 and subtracting the expected number of incorrect answers multiplied by 1.

h. The probability that at least two of the four students will get seven or more questions correct would involve calculating the probabilities for each possible combination of students using the binomial distribution and summing them up.

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Answer:

E

Step-by-step explanation:

3x is the 3 lines.

+5 is the 5 dots

= -4 is the 4 black dots

The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D with three variables.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The functions of a point (or vector) in R2 or R3 that have real values will now be looked at. These functions will typically be defined on sets of points in R2, but there will be occasions when we utilise points in R3 and when it is more convenient to think of the points as vectors (or terminal points of vectors).

Each point f(x,y) in D is given a real number f(x,y) according to a real-valued function f defined on a subset D of R2. The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D, and the range of f is the greatest set D in R2 on which f is defined.

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Answer

Solution

We are asked to find the best estimate for the fraction:

- The easiest way to evaluate this fraction is to separate the denominator into 4 and 10 and then divide 29 by 4. The result of the division can then be divided by 10.

- This is done below:

Final Answer

The possible solution set for the system is (- 1, 4) and (4, - 1).

Given are the equations as -

x + y = 3

x² + y² = 17

Refer to the graph of the function attached. The points of intersection represents the possible solution set.

Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).

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Answer:

Everything in red works

Step-by-step explanation:

Answer:

1. 5⁴

2. d¹⁰

3. w⁶

Leroy's count for last week is 21 larvae.

The process of determining the difference between two integers is called subtraction, which is a fundamental arithmetic operation and is represented by the symbol (-). To determine the difference between two numbers, perform the subtraction process. When you remove a few items from a group of things, the group gets smaller.

Given, total count for both week is 41 larvae

Count for this week is 29 larvae.

Now, find the count for last week,

count = 41 - 29

          = 12

Therefore, Leroy's count for last week is 12 larvae.

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The complete question is:

Leroy is a citizen scientist for a monarch butterfly project. Every week, he visits a local patch of milkweed and counts the number of monarch larvae on the plants. Last week, Leroy didn't count many larvae. This week, he counts 29 larvae on the milkweed. For both weeks, Leroy's total count is 41 larvae. Find Leroy's count for last week.

68% of the data lies within one standard deviation from the mean

95% of the data lies within two standard deviation from the mean

99.7% of the data lies within three standard deviation from the mean

The empirical rule states that for a normal distribution, 68% of the data lies within one standard deviation from the mean, 95% of the data lies within two standard deviation from the mean and 99.7% of the data lies within three standard deviation from the mean

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Answer:

Step-by-step explanation:

40-j=8

Answer: 4/3 pounds or 1 and 1/3 pound of beans in each bag.

Step-by-step explanation: 20/15 then you divide by 5 you get 4/3

Answer:

What was its average speed?

Step-by-step explanation:

62,5 km/h

formula application

vm= delta without delta t

vm= 250/4= 62.5

True, the sample statistics may have a different value for each observation that is randomly chosen since they are a numerical explanatory measure of a sample.

Using sample data, a statistic is a quantitative descriptive measure. A parameter is a quantitative way to describe a population. Since whole populations (N) aren't always possible, we must rely on samples (n) as well as the statistics that can be calculated from them.

The mean, median, & mode, which are utilized at practically all math and statistics levels, are the most well-known forms of descriptive statistics. By summing together all the data set's figures & then dividing the total number of figures, the mean or average can be derived.

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In this scenario, the shape of the sampling distribution of X-bar is approximately normal.

The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.

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The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).

According to the statement

We have given that the brenton gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour.

and we have to find that the those set which describes the domain of p(h).

So,for this purpose

In this case, the domain represents the set of hours he is permitted to work

From the question, we understand that he cannot work more than 60 hours

This means that, the least number of hours to work is 0, and the highest is 60

So, the domain is 0 to 60

When represented properly, the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}.

So, The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800

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Answer:

B.{h|0<h<60}

Step-by-step explanation:

Answer:

16,242. 7 cm^3.

Step-by-step explanation:

We need to cut off a square piece at the 4 corners of the cardboard.

Let the length of their edges be x cm.

The volume of the box will be:

V = height * width * length

V = x(100-2x)(40-2x)

V = x(4000 - 200x - 80x + 4x^2)

V = x(4x^2 - 280x + 4000)

V =  4x^3 + - 280x^2 + 4000x

Finding the derivative:

dV / dx =  12x^2 - 560x + 4000  = 0  ( when  V is a maxm or minm.)

4(3x^2 - 140x + 1000) = 0

x =  37.86, 8.80.

Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:

V" =  24x - 560, when x = 8.8   V" is negative so this is a Maximum for V.

So the maximum volume of the box is when x = 8.8 so we have

V =  8.8(100-2(8.8)(40 - 2(8.8)

=  16,242. 7 cm^3.

Answer:

No.

Step-by-step explanation:

It can be written as 2 81/100 or 281/100 so it is not irrational. An irrational number is a number that cannot be written as a ratio of two numbers

Answer:

no, 2.81 is a rational number.

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic. Every transcendental number is irrational.

The ratio of nonfiction books to fiction books checked out is 1 : 3

The given parameters are:

Total = 20

Fictions = 15

This means that:

Non Fictions = 20 - 15

Evaluate

Non Fictions = 5

The ratio is then represented as:

Ratio = Non Fiction : Fiction

This gives

Ratio = 5 : 15

Simplify

Ratio = 1 : 3

Hence, the ratio of nonfiction books to fiction books checked out is 1 : 3

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The probability that all three are female is  0.281

2030⋅1929⋅18282030⋅1929⋅1828 = 0.281

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Answer:

83

Step-by-step explanation:

f(x) = 7x - 1

Put x as 12.

f(12) = 7(12) - 1

f(12) = 84 - 1

f(12) = 83