which option does the following expression simplify to?
pls help

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{4+3}{-1}=\dfrac{-7}{1}=-7[/tex]

Equation in slope intercept form

[tex]\\ \rm\rightarrowtail y-4=-7(x)[/tex]

[tex]\\ \rm\rightarrowtail y=-7x+4[/tex]

Answer:

[tex]y=-7x+4[/tex]

Step-by-step explanation:

Formulae

Slope-intercept form of a linear function: [tex]y = mx + b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

Point-slope form of a linear function:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex]  is a point on the line)

Slope formula

[tex]\textsf{slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points on the line)

Solution

Choose 2 points on the line:

Find the slope using the slope formula:

[tex]\implies \textsf{slope}=\dfrac{-3-4}{1-0}=-7[/tex]

Substitute found value for [tex]m[/tex] and point (0, 4) into the point-slope formula:

[tex]\implies y-4=-7(x-0)[/tex]

[tex]\implies y=-7x+4[/tex]

Answer:

x=71 degrees

Step-by-step explanation:

it is a isosceles triangle so the blank angle is also x

angles of a triangle add up to 180

180=38+2x

2x=142

x=71

1. x = 60 (in this trapezoid, opposite angles are equal)

2. Find the third angle of the left triangle : 180 - 17 - 133 = 30
In a parallelogram, the side that is opposite to a side is parallel to each other.

x and the 30 degree are alternate angles -> x = 30

3. (I'll call the 4 triangles A,B,C,D respectively in anticlockwise)

Triangle A has the 25 degree angle, and the bottom right angle of triangle C, they are alternate angles (and the sides are parallel due to the property.)

So, the bottom right angle of triangle C = 25

Triangle C and D form an isoceles triangle, so x = 25.


4. This one I'll just do short. There's a right angle in the triangle that contains x.

3 angles in a triangle add up to 180, so x = 180 - 90 - 50 = 40.

Answer:

the sample is biased

Step-by-step explanation:

Answer:

C

explanation:

if The P-Value is low reject H0

The correct P-value and conclusion based on the null hypothesis. The correct option is C. P-value < 0.005. Reject H₀.

In this problem, we will use the P-value method to test a claim about the mean score of job applicants in a programming test. The claim is whether the sample of 25 job applicants from a large university comes from a population with a mean score greater than 160, given that the population is normally distributed. We'll use a significance level of 0.05 to make our decision. We'll set up the null and alternative hypotheses, calculate the test statistic, and find the P-value to draw a conclusion about the claim.

Let's begin by defining the null and alternative hypotheses:

- Null Hypothesis (H₀): The mean score of job applicants from the university is not greater than 160. H₀: μ ≤ 160.

- Alternative Hypothesis (H₁): The mean score of job applicants from the university is greater than 160. H₁: μ > 160.

Here, μ represents the true population mean score.

Next, we'll calculate the test statistic. Since the population standard deviation (σ) is not known, we'll use the sample's standard deviation (s) and perform a one-sample t-test. The formula for the t-test is:

t = (x' - μ₀) / (s/√n)

Where:

x' is the sample mean,

μ₀ is the hypothesized population mean under the null hypothesis (μ₀ = 160 in this case),

s is the sample standard deviation, and

n is the sample size.

Substituting the given values:

x' = 183 (sample mean)

μ₀ = 160 (hypothesized population mean under H0)

s = 12 (sample standard deviation)

n = 25 (sample size)

t = (183 - 160) / (12/√25)

 = 23 / 2.4

 ≈ 9.583

Now, we need to find the P-value corresponding to this test statistic. Since this is a one-tailed test (claiming that the mean is greater than 160), we look for the area under the t-distribution curve to the right of t = 9.583.

By consulting a t-table or using statistical software, we find that the P-value is significantly less than 0.001. The exact P-value is not provided in the answer options, but it's crucial to note that it is well below 0.005.

Now, we compare the P-value to the significance level (α = 0.05). Since the P-value < α, we reject the null hypothesis (H₀). The data provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

The correct option is C. P-value < 0.005. Reject H₀. The statistical analysis indicates that there is strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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#SPJ2

x²-13x+5x-65

x²-8x-65

(x+5)(x−13)

Domain

x∈R

Range

y∈[−81,∞)

Zeros

x=−5; x=13

Y-intercept

y=−65

Minima

(4,−81)

Answer: none of these

Step-by-step explanation:

They are not supplementary because 101+77 = 178 and not 180.

They are not complementary because 101+77 = 178 and not 90.

They are not vertical because there are no intersecting lines and the two angle measures are not equal.

Therefore, none of these are true.

Answer:

120 buckets

Step-by-step explanation:

If there are 15 teams and each team gets the same number of buckets (8 buckets as mentioned in the problem), then you can multiply 15 by 8 to get 120.

15 teams * 8 buckets = 120 total buckets

Quadrilaterals are shapes with four sides

The description of the quadrilateral is (d)  rectangle, that is not square

The coordinates are given as:

W(-5,5), X(-3, 8), Y(6, 2), and Z(4, -1)

Next, we plot the coordinates on a graph (see attachment)

From the attachment, we can see that the coordinates form a rectangle

Hence, the description of the quadrilateral is (d)  rectangle, that is not square

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Using it's concept, considering a spinner with four sections and a die with 6 numbers, there is a [tex]\frac{1}{6}[/tex] probability of landing on red and rolling a number greater than 2.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

The events are independent, hence:

[tex]P(A \cap B) = P(A)P(B) = \frac{1}{4} \times \frac{4}{6} = \frac{1}{6}[/tex]

[tex]\frac{1}{6}[/tex] probability of landing on red and rolling a number greater than 2.

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Answer:

Step-by-step explanation:

[tex]\sqrt{6} x \sqrt{10} is a surd\\\sqrt{144} + \sqrt{49}[/tex]is a surd

Answer:

0.408

Step-by-step explanation:

Answer:

X=55

Step-by-step explanation:

It says 15, so what you want to do is times 15x14 because those are the only sides of the shape. After you multiply 15x14 which is 60, you need to minus 5 because it shows a subtraction sign. So, 60-5= 55. X=55

Answer:14 ft

Step-by-step explanation: 50^2=x^2+48^2(Pythagorean theorem)

x^2=2500-2304

x^2=196

x=14

a 10-by-10 grid means there are 100 squares and percent is out of 100 so if you have 42% then you just need to fill in 42 squares

Answer:

-2.5 per hour

Step-by-step explanation:

its going down 5 every 2 hours so just divide both by 2 and you got it

The graph that models the scenarios must increase upwards since it is a growth rate.

Given the exponential function expressed as:

f(x)=250(1.10)^x-4

where

x is the time taken

The graph that models the scenarios must increase upwards since it is a growth rate. The required graph is as shown below;

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Answer:

D on edge

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

1 hour = 60 minutes

[tex]\dfrac{25}{60}=\dfrac{5*5}{5*12}=\dfrac{5}{12}[/tex]

The fraction of an hour that is equivalent to 25 minutes is 5/12

Data;

The fraction of an hour that is equivalent to 25 minutes would be the ratio between 25 minutes to 60 minutes which is one hour.

[tex]\frac{25}{60} = \frac{5}{12}[/tex]

The fraction of an hour that is equivalent to 25 minutes is 5/12

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Step-by-step explanation:

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.

so, we see

x changes by +8 (from 5 to 13).

y changes by -6 (from -3 to -9).

so, the slope is -6/+8 = -3/4

Hello.

Let's find the slope using the slope formula:

[tex]\mathrm{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\mathrm{\displaystyle\frac{-9-(-3)}{13-5} }[/tex]

[tex]\mathrm{\displaystyle\frac{-9+3}{13-5} }[/tex]

[tex]\mathrm{\displaystyle\frac{-6}{8} }[/tex]

The fraction can be simplified:

[tex]\mathrm{\displaystyle-\frac{3}{4} }[/tex]

Therefore, the slope is

[tex]\mathrm{\displaystyle-\frac{3}{4} }[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

v thirteen forty eights

seven and one half hours

8 x 5/6

8 x 5 = 40

40/6

Answer:

The graph shows 2 outliers. The scatter plot consist on a straight pattern. As seen, only 2 points are not within the straight line. We can conclude that only two points are outliers. =

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

I just took the test do not listen to the other persons answer or you will get it wrong. :) no offense. Have a great day everyone.

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1 us liquid quart =

[tex]\Huge\blue{\tt{✏Explanation✏}}[/tex]

#CarryOnLearning

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The area of the garden is the amount of space on the garden.

The dimensions of the garden is given as:

15 meters by 20 meters

Let the width of the pedestrian pathway be x.

So, the area of the total garden is:

[tex]Area=(x + 15)(x + 20)[/tex]

In (a), we have:

[tex]Area=(x + 15)(x + 20)[/tex]

The total area is given as: 336.

So, we have:

[tex](x + 15)(x + 20) = 336[/tex]

Expand

[tex]x^2 + 35x + 300 = 336[/tex]

Collect like terms

[tex]x^2 + 35x + 300 - 336 = 0[/tex]

Evaluate

[tex]x^2 + 35x - 36 = 0[/tex]

Expand

[tex]x^2 + 36x -x - 36 = 0[/tex]

Factorize

[tex]x(x + 36) -1(x +36) = 0[/tex]

Factor out x + 36

[tex](x + 36)(x -1) = 0[/tex]

Solve for x

x = -36 or x =1

The width cannot be negative.

Hence, the width of the pathway is 1 meter

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Answer:

C*C*C*C*C

Step-by-step explanation:

C^5 is C times itself 5 times hence C*C*C*C*C. Hope this helps.

Answer:

y = -(5/4)x - (1 3/4)

Step-by-step explanation:

A line parallel to y= -(5/4)x - 6 will have the same slope, -(5/4), but a different value for the y-intercept, which is -6 in this equation.  This means we can write:

y = -(5/4)x + b

As klong a b is not -6, the line will be parallel.  But we are told that point (5,-8) must be on the new line.  That means we need to select a value of b to make that happen.  By shifting b, we can move the straight line up or down.  To move it so that it goes through (5,8), enter that point in the equation and solve for b:

y = -(5/4)x + b

-8 = -(5/4)*5 + b   for (5,-8)

-8 = -(25/4) + b

b = -8 + (25/4)

b = -(32/4)+(25/4)

b = -(7/4) or - 1 3/4

The parallel line that goes through (5,-8) is y = -(5/4)x - 2

Answer:

y=-5/4x-7/4

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

First, we need to firgure out what 1/4 of 18 is (4.5). Then, multiply 4.5*22 to see the gallons left by the average traveled each gallon (99). Clearly, 99 is not equal to or greater than 110.