Solve each absolute value inequality and show its solution set.

|2y+3|<19
|2s-6|\(\leq\)6
|5-x|\(\leq\)4
|5t-1|>21
|-2x-5|\(\leq\)5

Please answer fast!

The probability of the sum equaling 5 is 1/9

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

Rolling two dice

When two dice are rolled, we have

Outcomes = 36

Sum of 5 = 4

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

P = Sum of 5/Outcomes

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

P = 4/36

Evaluate

P = 1/9

Hence, the probability is 1/9

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

To learn more about Chi-Square Distribution, refer to the link: https://brainly.com/question/4543358

#SPJ4

Carl deposited 10,000 into the savings account.

We can use the formula for compound interest to solve this problem:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A = the final amount

P = the initial principal (what Carl deposited)

r = the annual interest rate (8%)

n = the number of times interest is compounded per year (2 for semiannual compounding)

t = the number of years (1)

Plugging in the given values and solving for P:

\(10,816 = P(1 + 0.08/2)^{(2\times 1)}\)

\(10,816 = P(1.04)^2\)

10,816 = 1.0816P

P = 10,000

Therefore, Carl deposited 10,000 into the savings account.

for such more question on savings account

https://brainly.com/question/25161518

#SPJ11

Here we want to know the expression in the new funtion

Let s look at the difference between the two functions so as to be clear with the situation.

The funtion f(x) starts at the origin.

Looking at the function h(x), we can see that it starts out at the point x = -6

We can use these starting point to actually predict what the function will look like

In this case, the function h(x) has its expression as

Option B is the correct option for the function h(x)

Answer:

21

Step-by-step explanation:

4.2*5=21 hope this helps

the equation of the line is f(x) = -4x + 42.

To find the equation of the line that passes through the points (10, 2) and (8, 10) using the slope-intercept form, we first need to determine the slope of the line.

a. To determine the slope of a line parallel to the given line, we can use the fact that parallel lines have the same slope. So, we need to find the slope of the given line passing through (10, 2) and (8, 10).

Slope (m) = (y2 - y1) / (x2 - x1)

          = (10 - 2) / (8 - 10)

          = 8 / (-2)

          = -4

Therefore, the slope of any line parallel to the given line is also -4.

b. To determine the slope of a line perpendicular to the given line, we can use the fact that perpendicular lines have negative reciprocal slopes. So, the perpendicular slope would be the negative inverse of the given slope.

Perpendicular slope = -1 / (-4)

                  = 1/4

Therefore, the slope of any line perpendicular to the given line is 1/4.

The equation of the line passing through the points (10, 2) and (8, 10) using the slope-intercept form (y = f(x)) can be found using the point-slope form:

y - y1 = m(x - x1)

Taking (10, 2) as (x1, y1), we have:

y - 2 = -4(x - 10)

y - 2 = -4x + 40

y = -4x + 42

Hence, the equation of the line is f(x) = -4x + 42.

To know more about Equation related question visit:

https://brainly.com/question/29657983

#SPJ11

The probabilities are:

The expected completion time is 2.83 months with a variability of 0.6301 months.

a. Probability distribution of X:

P(X=2) = 1/9

P(X=2.5) = 2/9

P(X=3) = 4/9

P(X=3.5) = 2/9

b. Probability of completing the project in less than three months:

P(X<3) = P(X=2) + P(X=2.5) + P(X=3) = 7/9

c. Probability of not completing the project on time:

P(X>=3) = P(X=3) + P(X=3.5) = 6/9

d. Expected completion time:

E(X) = 2P(X=2) + 2.5P(X=2.5) + 3P(X=3) + 3.5P(X=3.5) = 2.83 months

e. Variability around the expected completion time:

To calculate variability, we need to find the variance of the distribution. Variance is the average of the squared deviations from the mean. The formula for variance is:

Var(X) = E(X^2) - [E(X)]^2

E(X^2) = 2^2P(X=2) + 2.5^2P(X=2.5) + 3^2P(X=3) + 3.5^2P(X=3.5) = 9.075

Var(X) = 9.075 - (2.83)^2 = 0.3969

The standard deviation is the square root of the variance:

SD(X) = sqrt(0.3969) = 0.6301 months

In this scenario, a construction company must complete a project within three months to avoid cost overruns. The manager believes that the completion time follows a specific probability distribution.

This problem requires finding the probability distribution, calculating the probability of completing the project on time, the probability of not completing it on time, the expected completion time, and the variability around the expected value.

The problem statement specifies four possible values for the completion time: 2, 2.5, 3, and 3.5 months. The manager believes that the probabilities of these values are in the ratio of 1:2:4:2. To find the probability of each value, divide the ratio by the sum of the ratio:

To know mare about probabilities refer here:

https://brainly.com/question/30034780#

#SPJ11

Answer & step-by-step explanation:

Convex: Triangle, Square, Pentagon. (Has to be equal sided and angled)

Non-Convex: Draw a weird shape, such as a deformed star, a 5 sided shape with no equal sides, such as these listed below:

Answer:

$0.85

Step-by-step explanation:

6.8/8 which is 0.85.

Hope this helps plz mark brainliest :D

Answer:

Step-by-step explanation:

divide 6.80 by 8 to get the unit price.

6.80/8= 0.85 a piece

Answer: true

Step-by-step explanation:

Answer: True

Step-by-step explanation: Has to be true if a b and c are all numbers

Answer:

y = 8x - 5

Step-by-step explanation:

Given:

To find:

How to find:

The slope is always known as "constant of variation" or "rate of change", but it's basically the increase of both y and x axes in simple terms. The decrease or increase in two points together and then found with the formula of rise/run (increase and decrease) (horizontal line/vertical line).

The y-intercept is always on the y-axis and is the beginning of what is learned in pre-algebra as a "story" which helps students practice finding the slope which again, is the change with "per" or "each".

Make sure to use the formula:

y = mx + b

Now we insert.

y = 8x <---------- slope

y = 8x - 5 <------ y-intercept and completed slope-intercept equation.

The reason it has a negative is because it started out as a negative y-intercept and is increasing by 8 through ordered pairs.

Answer:

y = 8x - 5

Step-by-step explanation:

because if its has a slope of 8 then m is 8

if the y intercept is -5 the b is -5

y = mx + b

y = 8x -5

Answer:

m^8 n^16

Step-by-step explanation:

Simplify the following:

(1/(m^2 n^4))^(-4)

Multiply exponents. (1/(m^2 n^4))^(-4) = (m^2 n^4)^4:

(m^2 n^4)^4

Multiply each exponent in m^2 n^4 by 4:

m^(4×2) n^(4×4)

4×4 = 16:

m^(4×2) n^16

4×2 = 8:

Answer: m^8 n^16

Answer:

yes you're right it is 14 + 28p = 315

Answer:

C

Step-by-step explanation:

I had this question edge 2021

Answer:

28×4/7=16

Step-by-step explanation:

well it seems as the most logical answer but it also seems the realist one to pick for me personally but I would think it is better to see mixed opinions but I think it's the 2nd one

0.368 .

The probability that a random variable x is exponentially distributed and less than 45 minutes,

given that the average value is 45 minutes, is 0.368.

This can be calculated by taking the negative of the natural logarithm of 1/2 (i.e. -ln(0.5)) and dividing it by the average value of 45 minutes.

The result, -ln(0.5)/45, equals 0.368, rounded to three decimal places.

Learn more about natural logarithm

brainly.com/question/29195789

#SPJ11

A stock with a price-to-earnings (P/E) ratio of 24 can be justified considering the underwriting spread of 15 percent.

The P/E ratio is a commonly used valuation metric that compares the price of a stock to its earnings per share (EPS). A higher P/E ratio indicates that investors are willing to pay a premium for each dollar of earnings. In this case, a P/E ratio of 24 suggests that investors are valuing the stock at 24 times its earnings.

The underwriting spread, which is typically a percentage of the offering price, represents the compensation received by underwriters for their services in distributing and selling the stock. Assuming an underwriting spread of 15 percent, it implies that the offering price is 15 percent higher than the price at which the underwriters acquire the stock.

When considering the underwriting spread, it can have an impact on the valuation of the stock. The spread effectively increases the offering price and, therefore, the P/E ratio. In this scenario, if the underwriting spread is 15 percent, it means that the actual purchase price for investors would be 15 percent lower than the offering price. Thus, the P/E ratio of 24 can be justified by factoring in the underwriting spread, as it adjusts the purchase price and aligns the valuation with market conditions and investor sentiment.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ11

Answer: middle

Step-by-step explanation:

Answer:

A. \(4^3*6^3\)

Step-by-step explanation:

First, you solve the given equation.

\((4*6)^3\\\\=24^3\\=13824\)

You solve the multiple choice afterwards. Since choice A was given first, we managed to find the answer.

\(4^3 * 6^3\\\\=64 * 216\\=13824\)

Choice A has the same answer as the given equation, making them equivalent.

Answer:

x= 8/5 . or 1.6 in decimal form or 1 and 3/5 in a mixed number .

Step-by-step explanation:

Answer:

Step-by-step explanation:

To define the perpendicular line we need to first know the slope of the reference line graphed.

m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)

m=(1-5)/(2-0)

m=-4/2

m=-2

For lines to be perpendicular their slopes must satisfy

m1m2=-1, we have a line with a slope of -2 so

-2m=-1

m=1/2, so our perpendicular line is so far

y=x/2+b, it must have point (3,2) so we can solve for b

2=3/2+b

b=1/2, so the swimmer will travel along the line

y=x/2+1/2

Answer:

I believe that the answer is C

Step-by-step explanation:

Area: bh

The shape is a square in which the side lengths are the same, so we multiply the number squared.

A = 6.25(6.25)

A = 39.06

Volume: lwh

6.25^3 = V

V = 244.14

Hope this helps:)

Step-by-step explanation:

Area: bh

The shape is a square in which the side lengths are the same, so we multiply the number squared.

A = 6.25(6.25)

A = 39.06

Volume: lwh

6.25^3 = V

V = 244.14

I hope I contributed

Answer:

Formula for circumference;

C = 2πr

replace those values

C = 2 x 3.14 x 9

C = 56.52 inches, C

Answer:

The circumference would be 56.52

Step-by-step explanation:

Place your radius into the formula for circumference (C=2πr)

C = 2 × 3.14 × 9

C = 56.52

Answer:

28

Step-by-step explanation:

Answer:

9 divided by 3= 6. You can buy 6 packages of blueberries for $9 dollars.

Step-by-step explanation:

The function is concave down on the interval ((2 -√(2))/2, (2 + √(2))/2), and concave up on the other two intervals. The inflection points are at x = (2 - √(2))/2 and x = (2 + √(2))/2.

To determine where the function is concave up or concave down, we need to find the second derivative and check its sign:

f(x) = x⁴ - 4x³ - 6x² - x - 7

f'(x) = 4x³ - 12x² - 12x - 1

f''(x) = 12x² - 24x - 12 = 12(x² - 2x - 1)

To find the intervals of concavity, we need to solve the inequality 12(x² - 2x - 1) > 0:

x² - 2x - 1 > 0

Using the quadratic formula, we find the roots of the quadratic equation:

x = (2 ± √(2))/2

These are the critical points where the concavity changes, so we can use them to divide the real line into three intervals:

(-∞, (2 - √(2))/2), ((2 - √(2))/2, (2 + √(2))/2), ((2 + √(2))/2, +∞)

Now we can test any value in each interval to determine the sign of the second derivative and any inflection points, and thus the concavity:

For x < (2 - √(2))/2:

f''(x) > 0, so f(x) is concave up.

For (2 - √(2))/2 < x < (2 + √(2))/2:

f''(x) < 0, so f(x) is concave down.

For x > (2 + √(2))/2:

f''(x) > 0, so f(x) is concave up.

Therefore, on the intervals((2 -√(2))/2, (2 + √(2))/2), the function is concave down, whereas on the other two intervals, it is concave up. Both at x = (2 - √(2))/2 and x = (2 + √(2))/2.

for more questions on  inflection point

brainly.com/question/29530632

#SPJ11

The graphs of the functions y = 4(2ˣ + 3) - 1 and y = - 2(3ˣ - 4) + 1 are plotted on the graph.

A function is a relation between a dependent and a independent variable, such that the dependent variable depends upon the independent one for its existence.

Given are the following functions -

y = 4(2ˣ + 3) - 1

y = - 2(3ˣ - 4) + 1

We have the following functions -

y = 4(2ˣ + 3) - 1

y = - 2(3ˣ - 4) + 1

Refer to the graph attached. The graph of red color represents the function y = 4(2ˣ + 3) - 1 and the graph of blue color represents the function y = - 2(3ˣ - 4) + 1. It can be seen that the graphs are symmetrical about the line y = 10.

Therefore, the graphs of the functions y = 4(2ˣ + 3) - 1 and y = - 2(3ˣ - 4) + 1 are plotted on the graph.

To solve more questions on plotting graphs, visit the link below-

https://brainly.com/question/14299685

#SPJ1

Answer:

D. (-7)

Step-by-step explanation:

3(2 + f) = (-15)

(3 . 2) + (3 . f) = (-15)

6 + 3f = (-15)

3f = (-15) - 6

3f = (-21)

f = (-21)/3

f = (-7)

Step-by-step explanation:

6+3f=-15

subtract 6

3f=-21

then divide

f=-7

Answer:

12

Step-by-step explanation:

let the number=x

7(x-10)=x+2

7x-70=x+2

7x-x=2+70

6x=72

x=72/6=12

Answer:

x = 7

Step-by-step explanation: