Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

The answer is 14

I got 100% on the test

I hope this helps!

Proof that this answer is correct and not a false

Answer:

2/15 or 0.1333

Step-by-step explanation:

Answer:

Your answer is correct

Step-by-step explanation:

(2^5/4)² = 4^5/2 = √4^5

The correct answer is option B which is \(\sqrt{2^5}\).

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

The expression will be solved as follows:-

\(E = ([ 2^{\frac{1}{2}} \times 2^{\frac{3}{4}}])^2\\E = (2^{({\frac{1}{2}+\frac{3}{3}})})^2\\E = (( 2 )^ {\frac{5}{4})}^2 \\E = ( 2 ) ^{\frac{5}{2}}\\E = \sqrt{2^5}\)

Therefore the correct answer is option B which is \(\sqrt{2^5}\).

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The 98% confidence interval for the difference between the populations of married couples who have two or more personality preferences in common (p1) and married couples who have no personality preferences in common (p2) is estimated to be (0.708, 0.771).

In order to calculate the confidence interval, we first need to determine the point estimate for the difference between p1 and p2. From the given information, in the first sample of 489 married couples, 379 had two or more preferences in common. Therefore, the proportion for p1 is estimated as 379/489 = 0.775. In the second sample of 491 married couples, only 38 had no preferences in common, resulting in an estimate of p2 as 38/491 = 0.077. The point estimate for the difference between p1 and p2 is then 0.775 - 0.077 = 0.698.

Next, we calculate the standard error of the difference using the formula sqrt((p1(1-p1)/n1) + (p2(1-p2)/n2)), where n1 and n2 are the sample sizes. Plugging in the values, we get sqrt((0.775(1-0.775)/489) + (0.077(1-0.077)/491)) = 0.017.

To find the confidence interval, we use the point estimate ± z × standard error, where z is the critical value corresponding to the desired confidence level. For a 98% confidence level, the z-value is approximately 2.33. Thus, the confidence interval is 0.698 ± 2.33 × 0.017, which simplifies to (0.708, 0.771)

Therefore, we can say with 98% confidence that the true difference between the populations of married couples who have two or more personality preferences in common and those who have no preferences in common lies within the range of 0.708 to 0.771.

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The 99 percent confidence interval for the mean population weight is  (1.002, 1.022).

To find a 99 percent confidence interval for the mean population weight, you can use the following formula:

Confidence Interval = Mean ± (Standard Error * Critical Value)

Where:

In this case, the Mean = (1.01 + .95 + 1.03 + 1.04 + .97 + .97 + .99 + 1.01 + 1.03) / 9 = 1.012

The Standard Deviation = 0.03

The Square Root of 9 is 3

The Z-Score for the 99th percentile is 2.576

Therefore, the 99 percent confidence interval for the mean population weight is 1.012 ± (0.03 / 3 * 2.576) = (1.002, 1.022).

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Keisha repeats this process three times, so the probability of getting this sequence of draws exactly once is 7/500 option B is correct.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 1 denoting that the event is certain and 0 denoting that it is impossible.

The probability of selecting a red marble on the first draw is 25/(75+50+100+25) = 1/10

After replacing the red marble, the probability of selecting a green marble on the second draw is 50/250 = 1/5

After replacing the green marble, the probability of selecting a blue or orange marble on the third draw is (75+100)/250 = 7/10

Therefore, the probability of selecting a red marble, then a green marble, and then a blue or orange marble is (1/10) × (1/5) × (7/10) = 7/500

However, Keisha repeats this process three times, so the probability of getting this sequence of draws exactly once is 7/500

Therefore, the answer is B. 7/500.

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The linear model for this data is y = 0.63t + 4.922 and the estimated population of Greensboro in 2015 was 11,530

What is slope?

Slope is a measure of the steepness of a line. It is defined as the change in y-coordinate divided by the change in x-coordinate between any two points on the line.

a. To find the linear model for this data, we need to determine the equation of the line that passes through the two given points: (0, 4.922) and (6, 9.1). The slope of this line can be calculated as:

slope = (change in y) / (change in t)

slope = (9.1 - 4.922) / (6 - 0)

slope = 0.63

Using the point-slope form of a linear equation, we can write the equation of the line as:

y - 4.922 = 0.63(t - 0)

Simplifying, we get:

y = 0.63t + 4.922

Therefore, the linear model for this data is y = 0.63t + 4.922.

b. To estimate the population in 2015, we need to find the value of y when t = 11 (since 2015 is 11 years after 2004). Substituting t = 11 into the linear model, we get:

y = 0.63(11) + 4.922

y = 11.53

Therefore, the estimated population of Greensboro in 2015 was 11,530 (rounded to the nearest whole number).

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The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given function;

f(x) = 16x – 30

g(x) = 14x – 6

⇒(f – g)(x) = 0

⇒(16x – 30)-(14x – 6)=0

⇒16x-30-14x+6=0

⇒2x-24=0

⇒x=24/2

⇒x=12

Hence, the value of the x will be 12.

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Answer:

D: product

Step-by-step explanation:

All I remember is that the answer to a division problem is quotient and multiplication is a product. Hope this helps :)

The measure of the smaller interior angle is approximately 144 degrees.

The measure of the larger interior angle is 36 degrees.

Let's denote the measure of the smaller interior angle as x.

According to the given information, the measure of one interior angle (let's call it y) is 0.25 times the measure of the smaller angle. Therefore, we can write the equation:

y = 0.25x

Since a parallelogram has opposite angles congruent, we know that the sum of the measures of the smaller and larger angles is 180 degrees. Hence, we can write another equation:

x + y = 180

Substituting the value of y from the first equation into the second equation, we have:

x + 0.25x = 180

Combining like terms:

1.25x = 180

To find the measure of the smaller angle (x), we divide both sides of the equation by 1.25:

x = 180 / 1.25

x ≈ 144

Therefore, the measure of the smaller interior angle is approximately 144 degrees.

To find the measure of the larger interior angle, we substitute the value of x into the equation:

y = 0.25x

y = 0.25 * 144

y = 36

Hence, the measure of the larger interior angle is 36 degrees.

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The unit rate of the juice is 0.5 carrot juice per green apple juice

From the question, we have the following parameters that can be used in our computation:

This means that

Carrot juice = 2

Green apple juice = 4

Using the above as a guide, we have the following:

Unit rate = Carrot juice/Green apple juice

Substitute the known values in the above equation, so, we have the following representation

Unit rate = 2/4

Evaluate

Unit rate = 0.5

Hence, the unit rate is 0.5 carrot juice per green apple juice

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Answer:

18.42

Explanation:

15+3=18

0.4+0.02=0.42

18+0.42=18.42

The largest figure that Ash can built with 61 toothpicks is of:

A composition of 12 hexagons.

The number of toothpicks needed is modeled with a linear function, defined as follows:

y = mx + b.

The coefficients of the function are given as follows:

The number of toothpicks in each figure is represented by the following sequence:

(6, 11, 16, ...).

Hence the parameters are given as follows:

m = 5, b = 6.

Thus the definition of the function is of:

T(n) = 5(n - 1) + 6. (as the first figure is with n = 1).

T(n) = 5n + 1.

Then the number of hexagons with 61 toothpicks is obtained as follows:

5n + 1 = 61

5n = 60

n = 60/5

n = 12 hexagons.

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The three lengths 8, 9 and 10 form a triangle.

In Euclidean geometry stating that any two triangle sides added together must be greater than or equal to the third side; represented by the symbols a + b ≥c. The basic tenet of the theorem is that a straight line connects any two places.

Given:

Sides: 8, 9, 10

As from Triangle Inequality the sum of two sides are greater than the third side of triangle.

So, 8 + 9 > 10

9 + 10 > 8

10+ 8> 9

Since the triangle inequality satisfied.

Thus, the triangle can form using sides 8, 9, 10.

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The probability that Bob chooses a new car or a used car is about 0.59, or 59%.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.

For example, the probability of flipping a fair coin and getting heads is 0.5 or 50%.

Here we have

At Bob's Auto Plaza there are currently 13 new cars, 9 used cars, 11 new trucks, and 4 used trucks.

Bob is going to choose one of these vehicles at random to be the Deal of the Month.

From the data

Total number of vehicles = 13 + 9 + 11 + 4 = 37

The probability that Bob chooses a new car = 13/37

[ Since there are 13 new cars out of 37 total vehicles ]

Similarly

The probability that Bob chooses a new truck = 11/37

The probability that Bob chooses a used car = 9/37

The probability that Bob chooses a used truck = 4/37

Hence,

The probability that the vehicle that Bob chooses is new or is a car is:

=> (13/37) + (9/37) = 22/37 = 0.59

Therefore,

The probability that Bob chooses a new car or a used car is about 0.59, or 59%.

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Answer:

6x + 16 would be its simplified form.

Step-by-step explanation:

Answer:

The calculated equation of the parallel line  is y = -6

From the question, we have the following parameters that can be used in our computation:

The line y = 2 is a horizontal line that passes through the point y = 2

This means that the parallel line is also a horizontal line that passes through another point

The ordered pair is given as

(-1, -6)

This means that the the equation of the line is y = -6

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Answer:wish i could help

Step-by-step explanation:......

The dividend discount model calculates the cost of common equity based on the present value of expected future dividends .the cost of common equity is 9.68% (rounded to two decimal places)

The cost of common equity can be calculated using the dividend discount model. The dividend discount model is a technique that values the stock price based on the present value of expected future dividends. The formula for the dividend discount model is:

\($$P_0 = \frac{D_1}{r-g}$$\)

where P0 is the current stock price, D1 is the expected dividend for next year, r is the required rate of return, and g is the dividend growth rate. To calculate the cost of common equity, we need to solve for r.

Given:Shares of Sarah Corporation pay an annual dividend of $1.25, D1.This dividend grows at a rate of 4% per year.If the shares trade at $22, what is the cost of common equity?Solution:From the given information,

D1 = $1.25, g = 4%, and P0 = $22.Substituting the values into the dividend discount model formula, we get:\($$22 = \frac{1.25}{r - 0.04}$$\)

Multiplying both sides by r - 0.04, we get:

\($$22(r - 0.04) = 1.25$$$$22r - 0.88\)

\(1.25$$$$22r = 2.13$$$$r\)

\(= \frac{2.13}{22}$$$$r = 0.0968$$\)

Therefore, the cost of common equity is 9.68% (rounded to two decimal places).

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Answer:

Step-by-step explanation:

2) 6.230 (3.115

  6  

   0 2

    - 2

      0 3

       - 2

         1 0

        -1 0

          0

125) 6000 (4.8          ( on multiplying numerator and denominator by 100)

      -500

       1000

     -1000

       0

a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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Answer:

1 hour babysitting and 14 restaurant

No, it is not possible for frequency f to be not one-to-one and g o f to be one-to-one. This is because if f is not one-to-one, then there are two distinct values x1 and x2 such that f(x1) = f(x2).

Since g o f is the composition of g and f, this means that g(f(x1)) = g(f(x2)). But if g o f is one-to-one, then g(f(x1)) must be different from g(f(x2)). This contradicts the assumption that f is not one-to-one. Therefore, if f is not one-to-one, then g o f cannot be one-to-one.

For example, let f(x) = x^2 and g(x) = x + 1. Then f is not one-to-one because f(-1) = f(1) = 1. However, g o f = g(x^2) = x^2 + 1 is also not one-to-one because g(f(-1)) = g(f(1)) = 2. So, even though g is one-to-one, the composition g o f is not one-to-one because f is not one-to-one.

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To get this answer, we'll use the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(35) = b/c

cos(35) = b/280

280*cos(35) = b

b = 280*cos(35)

b = 229.362572400918

b = 229

When you use your calculator, make sure it's in degree mode.

Answer:

The answer to the question provided is \(2 \frac{1}{2} \).

Answer:

the difference is that -50  is -50 celsius from 0 hope this helps at all!?

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

0 is larger then -50 and you want the difference so minus them

0-(-50) now when 2 negative signs meet like this they turn to addition

0+50 which is 50

their difference is 50

Answer:

Area = w x (5+ 8 w)

Step-by-step explanation:

Recall the formula for the area of a rectangle:   Area=with x length

You are suggested to use "w" to represent the width of the pen.

Now, they give you information about the length of the pen in word form.

We are converting those words into an algebraic expression:

"The length of the pen is 5 more than 8 times the width of the pen"

Length = 5 + 8  w

So we replace the length of the pen with this expression in the area formula:

Area = w x (5+ 8 w)

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Very easy equation if you know how to do it. All you need to do is divide your total amount of something (in this case "150" as that's our amount of "money we're given") by whatever the price or amount is. (In this case 15. Each cartridge costs $15. I'm not amazing at explaining things like this.. Sorry about that. If you have any questions about this feel free to let me know!)

So to put it "all together":

150 ÷ 15 = 10.

10 is your answer.

Hope this helps and have a nice day!

Answer:

Question 1 : A or B or C don't know

Question 2: A = that is what the question is answering

Question 3: B = that is what the question is answering

Question 4: B  = that is what the question is answering

Step-by-step explanation: