On a piece of paper, graph y < - 3/4 x + 2. Then determine which answer choice matches the graph you drew.

A. Graph A
B. Graph B
C. Graph C
D. Graph D​

The amounts that Jennifer, Alex and Shannon have are respectively; $9.6, $19.2 and $25.6

Let the amount of money that Jennifer has be x.

Now, Alex has twice what Jennifer has. Thus;

Amount that Alex has = 2x

Alex has $6 less than shannon. Thus;

Amount shannon has is;

2x + 6

We are told that in total they have $54. Thus;

x + 2x + 2x + 6 = 54

5x + 6 = 54

5x = 54 - 6

5x = 48

x = 48/5

x = $9.6

Alex has 2x = 2 * 9.6 = $19.2

Shannon has 2x + 6 = $19.2 + 6 = $25.6

Thus, the amounts that Jennifer, Alex and Shannon have are respectively; $9.6, $19.2 and $25.6

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Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

Answer:

3,231 feet

Step-by-step explanation:

Find the difference between the two heights by subtracting them:

2933 - (-298)

2933 + 298

= 3231

So, the difference in altitude is 3,231 feet

Answer:

3,231

Step-by-step explanation:

To get the answer, you should:

2,933 + 298 = 3,231

The measure of angle A in the isosceles triangle ABC is 62.5 degrees.

In an isosceles triangle ABC, where AB = AC, we are given that angle B (denoted as ∠B) measures 55 degrees. We need to calculate the measure of angle A (denoted as ∠A).

Since AB = AC, we know that angles A and C are congruent (denoted as ∠A ≅ ∠C). In an isosceles triangle, the base angles (the angles opposite the equal sides) are congruent.

Therefore, we have:

∠A ≅ ∠C

Also, the sum of the angles in a triangle is always 180 degrees. Hence, we can write:

∠A + ∠B + ∠C = 180

Substituting the given values:

∠A + 55 + ∠A = 180

Combining like terms:

2∠A + 55 = 180

Subtracting 55 from both sides:

2∠A = 180 - 55

2∠A = 125

Dividing by 2:

∠A = 125 / 2

∠A = 62.5

Therefore, the measure of angle A in the isosceles triangle ABC is 62.5 degrees.

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Answer:

3.99

Step-by-step explanation:

The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89

A=πr^2

=> (12.36 x 360)/89 = 3.14(r^2)

r^2 = 15.92

r = 3.99

The surface area of the prism using the net is 930 square meters

From the net, we have the following shapes and the dimensions:

The areas of the rectangles are calculated using

Area = Base * Height

The areas of the triangles are calculated using

Area = 0.5 * Base * Height

Using the above formulas, the surface area of the prism from the net is

Surface area = 0.5 * 5 * 12 + 0.5 * 5 * 12 + 29 * 12 + 29 * 13 + 29 * 5

Evaluate

Surface area = 930

Hence, the surface area of the prism using the net is 930 square meters

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The roots to the quadratic function x² - 4x = 5 are (b) 5, -1

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

x² - 4x = 5

Subtact 5 from both sides of the equation

So, we have the following representation

x² - 4x - 5 = 0

When the equation is factorized, we have

(x + 1)(x - 5) = 0

Solvong for x, we have

x = -1 and x = 5

Hence, the roots to the quadratic x² - 4x = 5 are (b) 5, -1

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Answer:

y = 3, m=0, b=3

Step-by-step explanation:

Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.

I hope this helps!

______________________________

Hey!!

Solution,

x-9=-27

or, X= -27+9

x=-18

So the value of X is -18

hope it helps..

Good luck on your assignment

__________________________

Answer:

x = 17, y = 13

Step-by-step explanation:

Let the age of kwaku be x and kojo be y.

x + y = 30 -------------(1)

x = 4 + y --------------(2)

Put Eq. (2) in Eq. (1)

4 + y + y = 30

4 + 2y = 30

2y = 30 - 4

2y = 26

y = 26 / 2

Put y = 13 in Eq. (2)

x = 13 + 4

\(\rule[225]{225}{2}\)

Answer:

X=1 or X=-1

Step-by-step explanation:

2|X|+3=5 ⇒|X|=1 ⇒X=1 or X=-1

Answer:

1/3

Step-by-step explanation:

differentiate first equation to get t , then replace t with 1/3

Using Arithmetic progression, There were 4,13,22,31 pupils chosen out of the applicants.

The professor desires to choose four students at random.

A sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, etc. is an arithmetic sequence. The common difference of the sequence is d, and the number an is the first term. An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d.

The fourth student was chosen at random, followed by every ninth student.

The fourth student is chosen first.

Using the following term formula, which is

=>a + d(n-1) (n-1)

The second student is the one after that.

=>4 + 9(2-1) (2-1)

=>4 + 9(1) (1)

=>4 + 9

=> 13

The third pupil will be

=>4 + 9(3-1) (3-1)

=>4 + 9(2) (2)

=>4 + 18

=> 22

The fourth pupil will be

=>4 + 9(4-1) (4-1)

=>4 + 9(3) (3)

=> 4+ 27

=> 31

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\(5 + n = 12 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

The technique that is NOT used in variable selection is principal components analysis. Thus, option (B) is the correct option.

Variable selection is the process of selecting the appropriate variables (predictors) to incorporate in the statistical model. It is an important step in the modeling process, especially in multiple linear regression.

The technique(s) used in variable selection may vary depending on the purpose of the analysis and the features of the data.

There are various methods and techniques for variable selection, such as stepwise regression, ridge regression, lasso, and VIF regression. However, principal components analysis is not a variable selection technique but rather a dimensionality reduction technique.

PCA is used to reduce the number of predictors (variables) by transforming them into a smaller set of linearly uncorrelated variables known as principal components.

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Answer:

1.  c. slope

2. a. change in y over change in x

Step-by-step explanation:

Answer:

1. slope

2. change in y over change in x

Step-by-step explanation:

1.So the slope is the rate of change in a graph ( the steepness of a line also called gradient )

2.So the slope or gradient is = \(\frac{y_2-y_1}{x_2-x_1}\)

This means change in y over change in x.

HOPE THIS HELPED

Therefore, the probability that the random variable X falls between 37 and 85 is approximately 0.8916 or 89.16%.

To compute the probability P(37 < X < 85) for a normally distributed random variable X with a mean μ = 70 and standard deviation σ = 12, we need to standardize the values and use the standard normal distribution.

First, we calculate the z-scores for the given values:

z1 = (37 - μ) / σ = (37 - 70) / 12 ≈ -2.75

z2 = (85 - μ) / σ = (85 - 70) / 12 ≈ 1.25

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with the z-scores.

Using a standard normal distribution table, we find:

P(Z < -2.75) ≈ 0.0028 (probability corresponding to z1)

P(Z < 1.25) ≈ 0.8944 (probability corresponding to z2)

To find the probability of the interval (37 < X < 85), we subtract the probability associated with the lower value from the probability associated with the upper value:

P(37 < X < 85) = P(-2.75 < Z < 1.25) = P(Z < 1.25) - P(Z < -2.75) ≈ 0.8944 - 0.0028 ≈ 0.8916

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I think that X = -2 and Y = 1

I hope my answer will serve you.

Answer:

4.6

Step-by-step explanation:

298 divided by 65=4.58....

As the probability of flooding any given year is 0.05, the probability of not flooding in the next year is 0.95 or 95%.

The probability of flooding in a region once every 20 years means that the probability of flooding any given year is 1/20 or 0.05.

Given that the probability of flooding in any one year is greater than zero, we know that the probability of not flooding is less than 1.

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Answer:

5(2x-3)-7x=x-10

or, 10x -15 -7x = x-10

or, 3x-15=x-10

or, 3x- x = 15-10

or, 2x = 5

or, x= 5/2

The truth table for (p ∧ q) ∨ ( ∼ p ∧ ∼ q) a tautology, a contradiction is as follows:

p  q   |   p ∧ q    | ∼ p ∧ ∼ q  |  (p ∧ q) ∨ ( ∼ p ∧ ∼ q)
---|---|---|---
T | T | F |  T
T | F | T |  T
F | T | T |  T
F | F | T |  T

Therefore, (~p ∨ q) ∨ (p ∧ ~q) is a tautology.

5. The truth table for ∼ (p ∨ q) is as follows:

p  q   |  p ∨ q    | ∼ (p ∨ q)  |  ∼ p ∧ ∼ q
---|---|---|---
T | T | F |  F
T | F | F |  F
F | T | F |  F
F | F | F |  T

Therefore, ∼ (p ∨ q) is logically equivalent to ∼ p ∧ ∼ q. This law is called the De Morgan's Law.

6a. The truth table for p → q is as follows:

p  q   |  p → q  |  ∼ p ∨ q
---|---|---
T | T | T
T | F | F
F | T | T
F | F | T

Therefore, p → q and ∼ p ∨ q are logically equivalent.

6b. The truth table for ∼ (p → q) is as follows:

p  q   |  p → q  |  ∼ (p → q)  |  p ∧ ∼ q
---|---|---|---
T | T | F | F
T | F | T | F
F | T | T | F
F | F | T | T

Therefore, ∼ (p → q) and p ∧ ∼ q are not logically equivalent.

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The volume of the Illustrated cone used as an example is 51.3cm³.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

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The area of the shaded regions in the given figure is 4.56 cm².

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

From the given figure,

Here, ΔLMN is isosceles triangle, ML=MN=4 cm

Now, area of a ΔLMN =1/2 ×Base×Height

= 1/2 ×4×4

= 8 cm²

By using Pythagora's theorem, we have

LN²=LM²+MN²

LN²=4²+4²

LN²=32

LN=4√2 cm

Area of semicircle = πr²/2

Here, radius =2√2 cm

Now, 3.14×(2√2)²/2

= 12.56 cm²

Area of shaded region = 12.56-8

= 4.56 cm²

Therefore, the area of the shaded regions in the given figure is 4.56 cm².

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The "non-arbitrage" rate for a 1-year quarterly paid personal debt can be calculated based on the interest rate of a 1-year fixed saving account. In real life, the real debt rate is generally expected to be higher than this "non-arbitrage" rate.

To calculate the "non-arbitrage" rate for a 1-year quarterly paid personal debt, we can use the concept of effective annual rate (EAR) and the interest rate of a 1-year fixed saving account. The 2.5% interest rate on the saving account represents the EAR, which means that if the interest is compounded quarterly, the nominal interest rate per quarter would be slightly lower.

By adjusting the EAR to account for quarterly compounding, we can find the "non-arbitrage" rate for the debt.In real life, the real debt rate is generally expected to be higher than this "non-arbitrage" rate. This is because banks typically charge a higher interest rate on loans and personal debts compared to the interest rate they offer on savings accounts.

Banks aim to make a profit by lending money, and they factor in various costs and risks associated with lending when setting interest rates for loans. Therefore, borrowers usually face higher interest rates to compensate for the risks taken by the banks.

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Answer:

y=2x-3

Step-by-step explanation:

The height of Jeremy is 159 cm.

To find the height of Jeremy:

So,

Then, Jeremy = 135 + 24 = 159 cm.

Therefore, the height of Jeremy is 159 cm.

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The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

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Answer:

Fill going downwards

Step-by-step explanation:

1

2

2

3

1