300°
6 cm

What the area?

Answer: 4+2y

Step-by-step explanation:

Answer:

• The amount invested at 6% is $1,150.

• The amount invested at 12% is $1,750.

Explanation:

Let the amount invested at 6% = x

Kelvin has $600 more in the 12% account, therefore:

The amount invested at 12% = $(x+600).

The total interest is $279.

We solve the equation for x.

The amount invested at 6% is $1,150.

The amount invested at 12% is:

The amount invested at 12% is $1,750.

Given an integral∫_4^5▒〖f(x)dx 〗 where f(x) is defined as follows:

For x < 3, f(x) = 0

For x ≥ 3, f(x) = x - 3

The graph of the integrand is shown below:

This is a piecewise function defined on the interval [4, 5].

It is zero for x < 3, and for x ≥ 3 it is equal to x - 3.

We can graph the two parts of the function separately, and then find their areas, which will give us the value of the integral.

To graph the function, we first draw a vertical line at x = 3, which separates the function into two parts.

For x < 3, we draw a horizontal line at y = 0, which is the x-axis.

For x ≥ 3, we draw a line with a slope of 1, which passes through the point (3, 0).

This line has the equation y = x - 3, and it is shown in blue in the graph above.

The region in question is the shaded region between the graph of the integrand and the x-axis, bounded by x = 4 and x = 5. This region can be divided into two parts:

a rectangle with a width of 1 and a height of 3, and a triangle with a base of 1 and a height of 2.

The area of the rectangle is 1 × 3 = 3, and the area of the triangle is (1/2) × 1 ×2 = 1.

Therefore, the total area of the region is 3 + 1 = 4, which is the value of the integral.

The units of the integral are square units since we are finding the area of a region. Thus, the integral is equal to 4 square units.

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Answer:

-38

Step-by-step explanation:

Subtract  42  from  4 . Since 42 is negative so will the answer

(a). At α = .05, we reject the null hypothesis and conclude that people who fly frequently are more likely to be able to sleep during flights.

(b). At α = .01, we fail to reject the null hypothesis and do not have sufficient evidence to conclude that people who fly frequently are more likely to be able to sleep during flights.

a. Hypothesis test at α = .05:

Null hypothesis (H0): The proportion of people who can sleep during flights is the same for those who fly frequently and the general population.

Alternative hypothesis (Ha): The proportion of people who can sleep during flights is higher for those who fly frequently.

To conduct the hypothesis test, we can use the z-test for comparing proportions.

Sample proportion of frequent flyers who can sleep: p1 = 285/510

= 0.5588

Proportion of Americans who can sleep during flights (from Expedia): p2 = 0.52

The formula for the test statistic (z) is:

z = (p1 - p2) / \(\sqrt{}\)((p1 × (1 - p1) / n1) + (p2 × (1 - p2) / n2))

Where n1 = sample size of frequent flyers = 510

n2 = sample size from Expedia = unknown (since we only have the proportion)

Since the null hypothesis states that the proportions are the same, we can assume n1 = n2.

Calculating the test statistic:

z = (0.5588 - 0.52) / \(\sqrt{}\)((0.5588 × (1 - 0.5588) / 510) + (0.52 × (1 - 0.52) / 510))

z ≈ 1.775

Using a standard normal distribution table or a calculator, we find that the critical z-value at α = .05 (one-tailed test) is approximately 1.645.

Since the test statistic (1.775) is greater than the critical value (1.645), we reject the null hypothesis.

B) Hypothesis test at α = .01:

Using the same setup as in part (a), we can calculate the test statistic:

z ≈ 1.775

The critical z-value at α = .01 (one-tailed test) is approximately 2.326.

Since the test statistic (1.775) is less than the critical value (2.326), we fail to reject the null hypothesis.

Conclusion: A). At α = .05, we reject the null hypothesis and conclude that people who fly frequently are more likely to be able to sleep during flights.

B). At α = .01, we fail to reject the null hypothesis and do not have sufficient evidence to conclude that people who fly frequently are more likely to be able to sleep during flights.

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The complete question is-

Sleeping on Flights. According to Expedia, 52% of Americans report that they generally can sleep during flights. Are people who fly frequently more likely to be able to sleep during flights? Suppose we have a random sample of 510 individuals who flew at least 25,000 miles last year and 285 indicated that they were able to sleep during flights.

a. Conduct a hypothesis test to determine if the results justify concluding that people who fly frequently are more likely to be able to sleep during flights. Use α = .05.

b. Conduct the same hypothesis test you performed in (a) at α = .01. What is your conclusion?

Answer:

Step 2

Step-by-step explanation:

Distributive Property: \(a(b+c)=ab+ac\)

Isaac's Steps are outlined below:

\(\text{Step 1:} (4.2)(-5.4) = (-5.4)(4.2) \\\\\text{Step 2:} = (-5.4)(4) + (-5.4)(0.2) \\\\\text{Step 3:} = (-21.6) + (-1.08) \\\\\text{Step 4:} = -22.68\)

We observe that in Step 2:

\((-5.4)(4.2)=(-5.4)(4+0.2)=(-5.4)(4) + (-5.4)(0.2)\)

Therefore, Isaac applied the distributive property in Step 2.

Answer:

step 2

Step-by-step explanation:

I took the test

Answer:

-4 and 12 are the zeros of the quadratic.

Step-by-step explanation:

What value does X need to be so (x+4) is 0? -4

What value does X need to be so (x-12) is 0? 12

Answer:

x is 97

Step-by-step explanation:

the interior angles have to equal 180 and the exterior angles have to come to 360 degrees

so you already know 23 to find the one by the 106 degree you use the linear pair postulate ( angles on a straight line will equal 180) so 180-106 equals 74. Now you have 2 of the three interior angles. To find the third you take 180 - 74 - 23 which equals 83 then you can use the linear pair postulate again and take 180-83 to get your answer for x which equals 97

Answer:

\(-2.3 > -\frac{8}{3}\)

Step-by-step explanation:

-2.3 = -2.3333333333...

-8/3 = -2.666666666...

You can see that -2.6 is less than -2.3

Answer: B

Step-by-step explanation:
A bar over a number means the number is irrational, and the number will repeat. so the numbers are -2.33333333333 and -8/3.
If 8/3 = 2.6666667, then -8/3 will be -2.6666667.
-2.6666666667 is lower than -2.33333333. So the equation is -2.3333333333 > - 8/3.

There are "P(20, 10) - P(15, 10)" options (ways) to distribute the coupons so that at least one woman receives a coupon.

What do you mean by permutation?

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

There are P(20, 10) ways to distribute the coupons if they are different, with the only restriction being that no more than one coupon can be given to a shopper. To ensure that all of the coupons go to the guys, there are P(15, 10) ways to distribute them. In order to ensure that at least one coupon is given to a woman, there are P(20, 10) - P(15, 10) options to distribute the coupons.

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Complete Question

10 coupons are given to 20 shoppers in a store. Each shopper can receive at most one coupon. 5 of the shoppers are women and 15 of the shoppers are men.

If the coupons are different, how many ways are there to distribute the coupons so that at least one woman receives a coupon?

Answer:

106

Step-by-step explanation:

Given :

Number of the set of siblings = 20

This 20 pair yields \($\overline x$\) = 103.29, \($\overline y$\) = 103.75, requals = 0.899, P-value = 0.000

Let x represents the IQ score of the younger child.

And y is the predicted value of Y(^).

So according to the question,

x = 105

and y = -9.5 + 1.1 x

Then,

y = -9.5 + 1.1 (105)

y = -9.5 + 115.5

y = 106

So the best predicted value of Y(^) is 106

The probability of x being greater than 18 (p(x > 18)) is equal to the probability of x being less than 18 (p(x < 18)) in a normal distribution.

In a normal distribution, the probability of an event happening to the left of the mean (μ) is equal to the probability of the event happening to the right of the mean. This means that if we know the probability of x being less than 18 (p(x < 18)), we can use the property of symmetry to determine the probability of x being greater than 18 (p(x > 18)).

Since the probability distribution of x is symmetric around the mean, the area under the probability density function (PDF) to the left of the mean is the same as the area to the right of the mean. Therefore, we can say:

p(x > 18) = p(x < 18)

In other words, the probability of x being greater than 18 is equal to the probability of x being less than 18 in a normal distribution.

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Explanation is in the file

tinyurl.com/wpazsebu

Answer:

15 inches

Step-by-step explanation:

We are given;

Linear velocity; V = 240 in/min

ω = 16 rev/min

Now, in circular motion, formula for linear velocity is;

V = ωr

Where ω is angular velocity and r is radius which is the distance between the object and the fixed point.

Thus;

240 = 16r

r = 240/16

r = 15 inches

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let's solve :

Answer:

5

Step-by-step explanation:

Legend

The term that refers to the labels at the right of the graph indicating how each subcategory is represented is the Legend.

The Legend is a key that indicates what the different colors, lines, or other symbols in a graph represent. It is usually located at the right or bottom of the graph and provides a clear explanation of the different subcategories.

The Legend is an essential component of a graph, as it helps the viewer understand the information presented in the graph. Without the Legend, the graph can be confusing and difficult to interpret. It is important to ensure that the Legend is clear and easy to understand so that the viewer can quickly identify the different subcategories represented in the graph.

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Answer:

The solutions are -5 and 3.

Step-by-step explanation:

\(x^2 - 16 = -2x-1\)

\(x^2 - 16 +2x+1=0\)

\(x^2 +2x-15=0\)

Factoring the quadratic expression:

\((x+5)(x-3)= x^2 +2x-15=0\)

So,

\(x+5 = 0 \implies x =-5\)

\(x-3 = 0 \implies x =3\)

It would take Greg alone 16 minutes to clean the snow from the driveway.

What is an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Here, we have

If Greg and Cindy clean the snow in 12 minutes.

Then, it would take Cindy 28 minutes to clean it alone.

We need to find the amount of time it would take Greg alone to clean the snow.

Let Greg be = x

Let Cindy be = y, then

x + y = 12 minutes, and

y = 28 minutes

To find x,

we put the value of y in a given equation and we get

28- 12 = 16 minutes

Hence, it would take Greg alone 16 minutes to clean the snow from the driveway.

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Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

Answer:

B

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

Of course you have to graph the two points to find out the answer.

Then you count the units or squares to find out how far they are.

So it was basically 6 units to the right and 4 units up :)

Hope this helped plz mark brainliest :))

Based on the hypothesis test using a significance level (α) of 0.05 and a p-value of 0.20, we fail to reject the null hypothesis, which suggests that we should not build a brick-and-mortar store.

In hypothesis testing, we compare the p-value to the significance level (α) to make a decision about the null hypothesis (H0). The null hypothesis states that there is no significant effect or relationship, while the alternative hypothesis (Ha) suggests otherwise.

In this case, the null hypothesis (H0) states that we should not build a brick-and-mortar store, and the alternative hypothesis (Ha) suggests that we should build one. When the p-value is higher than the significance level (α), it means that we do not have enough evidence to reject the null hypothesis.

Given that the p-value is 0.20 and the significance level (α) is 0.05, the p-value is greater than α. Therefore, we fail to reject the null hypothesis, indicating that there is not enough evidence to support building a brick-and-mortar store. This means that based on the statistical analysis, it would be recommended not to proceed with constructing a physical store.

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The situation that represents a function is: D. The number of sit-ups a student can do in a minute is a function of the student's age.

In this case the amount of sit-ups depends on the student's age and there is a distinct and set number of sit-ups that may be performed for each age.

The age of the student and the quantity of sit-ups together constitute a function with each input (age) corresponding to a single output (quantity of sit-ups).

Therefore the correct option is D.

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Answer: The answer should be

C) f(t)=1.5t+5

Answer:

Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you

Step-by-step explanation:

Have a great rest of your day

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The ladder makes 78 degrees with the house

the ladder (c) is 20 feet long, and the height of the house (a) is 19.5 feet

find distance

19.5^2 + b^2 = 20^2 this is using the pythagorean law

b^2 = 400 - 380.25 = 19.75

b ≈ √19.75 ≈ 4.44 feet

sin(θ) = opposite side (a) / hypotenuse (c)

sin(θ) = 19.5 / 20

take the inverse sine

θ = arcsin(19.5 / 20)

≈ 78.46 degrees

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