Find the equation of the line specified.
The slope is -7, and it passes through ( 5, -3).
a.
y = -7x - 3
c.
y = -14x + 32
b.
y = -7x + 32
d.
y = -7x - 38

Answer:

(-5, -1)

Step-by-step explanation:

Moving towards the right makes a number more positive for x and moving down makes numbers more negative for y

The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.

For finding the equation of a line parallel to the given line and passing through the point (1, 1), we need to determine the slope of the given line and use it to construct the equation.

The given line has the equation 2x + 4y = 1. To determine its slope, we can rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation, we have:

4y = -2x + 1

y = (-2/4)x + (1/4)

y = (-1/2)x + 1/4

Comparing this equation to the slope-intercept form (y = mx + b), we can see that the slope of the given line is -1/2.

The line we're trying to find is parallel to this line, it will also have a slope of -1/2. We can now use the point-slope form of a line to construct the equation. The point-slope form is given by:

y - y₁ = m(x - x₁)where (x₁, y₁) represents the coordinates of the point through which the line passes, and m is the slope.

Substituting the values of (x₁, y₁) = (1, 1) and m = -1/2 into the point-slope form, we get:

y - 1 = (-1/2)(x - 1)

Expanding and simplifying the equation:

y - 1 = (-1/2)x + 1/2

y = (-1/2)x + 1/2 + 1

y = (-1/2)x + 3/2

The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.

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Answer:

OOO

Step-by-step explanation:

Step-by-step explanation:

[tex]4x + 2 = 90 \\4x = 88 \\ x = 22[/tex]

Answer:

a) 0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes

b) 0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mildly obese:

Mean 376 minutes and standard deviation 67 minutes, which means that [tex]\mu = 376, \sigma = 67[/tex]

Sample of 6

This means that [tex]n = 6, s = \frac{67}{\sqrt{6}} = 27.35[/tex]

Lean

Mean 520 minutes and standard deviation 110 minutes, which means that [tex]\mu = 520, \sigma = 110[/tex]

Sample of 6

[tex]n = 6, s = \frac{110}{\sqrt{6}} = 44.91[/tex]

A) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes?

This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for mildly obese people. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{420 - 376}{27.35}[/tex]

[tex]Z = 1.61[/tex]

[tex]Z = 1.61[/tex] has a pvalue of 0.9463

1 - 0.9463 = 0.0537

0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes.

B) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?

This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for lean people. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{420 - 520}{44.91}[/tex]

[tex]Z = -2.23[/tex]

[tex]Z = -2.23[/tex] has a pvalue of 0.0129

1 - 0.0129 = 0.9871

0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes

Answer:

(-3,-5) so yeeeeeeeeeeeeeeeeeeeee

Answer:

x = 7

Step-by-step explanation:

By a certain theorem, Congruent chords are equidistant from the center of a circle. We know these chords are congruent because the top half of the left chord and bottom half of the right chord are congruent.

We also know that a radius perpendicular to a chord will bisect it, meaning the length of each chord is 20, but that's irrelevant, really.

So, now that we know the chords are equidistant from the center, we also know that x will be equal to 7.

Have a nice day, fam.

Answer:

-2

Step-by-step explanation:

Plug y=0 into the equation and solve the resulting equation 0=3x+6 for x

Answer:

$ 56 .0000

Step-by-step explanation:

.......... ....... ....... ........ .....

Answer:

An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:

7r+6=8r-8

Subtract both sides by 6

7r+6-6=8r-8-6

7r=8r-14

Subtract both sides by 8r

7r-8r=8r-14-8r

-r=-14

Divide both sides by -1

r=14

I hope this helps!

Answer:

0.16

Step-by-step explanation:

rewrite 16 percent in the terms of per 100 or over 100.

16% = 16 over 100 or,

16% = 16/100

16 over 100 is the same as 16 divided by 100. So completeing the division we get:

16 ÷ 100 = 0.16

Thus, the answer is 0.16

hope this helps you :)

Answer:

Step-by-step explanation:

radius = 9.3 units

Diameter = 2 × radius

= 2 × 9.3

= 18.6 units

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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Answer:

Option B and F.

Step-by-step explanation:

Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,

[tex]x = 0[/tex]

x - 3 = 0 ➡️ x = 3

x + 1 ➡️ x = -1

Plus, the polynomial has the zeroes -1, 0 and 3.

It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.

Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).

It is observed that the graphs in options B and F follow this path.

So the correct choices are option B and F.

Answer:

Hi! Just for your safety do not click on the link in the other answer!

The answer to your questions is (5,0) Or another way to express it is 5.

Step-by-step explanation:

To find the x-intercept substitute 0 in for y and solve for x.

※※※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

Answer:

10 if the other the numbers go up as well

Step-by-step explanation:

20/2= 10

Which would mean Kora could make 10 s'mores

Answer:

x=1, y=-5

Step-by-step explanation:

4(1)+2y=-6

2y=-10

y=-5

or

-3x-2(-5)=7

-3x=-3

x=1

Hope this helps!

Answer:

6.75

Step-by-step explanation:

Add up all the numbers in the data set :

8 + 2 + 5 + 12 = 27

Divide 27 by the total numbers in the data set :

27 ÷ 4 = 6.75

Therefore, the mean if the data set is 6.75

Given:

The two points are P (-1,0) and S (-1,7).

To find:

Whether the line PS is vertical, horizontal or neither.

Solution:

We have, two points P (-1,0) and S (-1,7).

Slope of the line PS is:

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

[tex]m=\dfrac{7-0}{-1-(-1)}[/tex]

[tex]m=\dfrac{7}{0}[/tex]

[tex]m=\infty[/tex]

We know that the slope of a vertical line is [tex]\infty[/tex].

Since the slope of the line PS is [tex]\infty[/tex], therefore PS is a vertical line.

Answer:

Step-by-step explanation:

AB = 2EB

AB=CD

Due to that

Cd = 2EB therefore

CD = 10

Answer:

The cost of labor per hour is $105.

The expression is 4x + 77 = 497

Step-by-step explanation:

The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.

4x + 77 = 497

4x + 77 - 77 = 497 -77

4x = 420

4x/4=420/4

x = 105

Answer:

23 days

Step-by-step explanation:

We would first determine the volume of the tank. This gives information on the amount of water it can carry

WE divide the volume by the amount of water the town uses per day

Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³

n = 3.14

r == radius

radius = 1/2 x diameter

radius = 26/2 = 13 meters

volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3

How long the tank would last = 9198.106667 / 400 = 23 days

Answer:

6.26 automobile registrations

Step-by-step explanation:

Given

[tex]y=0.3949x-778.7[/tex] --- [function, missing from the question]

Required

The expected number in 1988

To do this, we substitute 1988 for x in: [tex]y=0.3949x-778.7[/tex]

[tex]y = 0.3949 * 1988 - 778.8[/tex]

[tex]y = 785.0612 - 778.8[/tex]

[tex]y = 6.2612[/tex]

[tex]y \approx 6.26[/tex] --- approximated to the nearest hundredth

Answer:

136

Step-by-step explanation:

The formula  to find the surface area is 2(wl+hl+hw)

W= 3

H= 8

L= 4

wl= 3*4 = 12

hl= 8*4= 32

hw= 8*3 = 24

12+32+24= 68

68 * 2 = 136

Answer:

f=5/8x^2+-3/2Divide both sides by two

Step-by-step explanation:

Hope that helped