how would I graph the function m(x) = | x + 1| ?

The probability that the student, who ran out of time on a multiple choice exam and randomly guessed the answers for two problems, answered both of the problems correctly is ⁹/₂₅.

Probability refers to the likelihood of an expected outcome occurring out of many possible outcomes.

Probability is computed as the quotient of expected outcome over total outcomes.

The number of questions left = 2

The number options of for each question = 5

Since there are 5 options for each question, 4 of which are wrong, the probability of getting both wrongs is:

⁴/₅ x ⁴/₅ = ¹⁶/₂₅ = 0.64 or 64%

Therefore, probability of getting both questions correct is 36% (1 - 64%) or ⁹/₂₅ (1 -  ¹⁶/₂₅).

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Answer:

In Explanation.

Step-by-step explanation:

In situations like this, you want to first find the equations of the individual lines.

Let's start with the left one.

It has a negative slope of 2 while it has a y-intercept of 1

y=-2x+1

is the equation.

The other line has a slope of 3/2.

The y-intercept is not visible, so we need to use point slope form.

I chose (2,-3)

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

Simplify.

y=3x/2-3-3

y=3x/2-6

so we have

y=-2x+1

and

y=\(\frac{3x}{2}\)-6

Since both lines are solid, the signs are ≥ or ≤

The shadings intersect above both lines so the individual shadings also have to be above the line.

That means the equation is less than the "y".

y≥-2x+1

y≥\(\frac{3x}{2}\)-6

Answer:

20% I'm pretty sure

As per the least-squares regression,

a) The residual for the high school senior with a foot length of 20cm and a height of 160cm is 2.94

b) As per the given standard deviation, the value of the context 5.9

The term standard deviation in math is defined as a measure of how dispersed the data is in relation to the mean.

Here we have given that the random sample of 65 high school seniors was selected from all high school seniors at a certain high school.

And we need to find following.

While we looking into the given question, as per the least-squares regression line, here the estimated height for a high school senior with a foot length of 20 cm is calculated as,

=> y = 2.599x + 105.08

Now, we have to apply the value of x as 20, then we get,

=> y = 2.599(20) + 105.08

=> y = 157.06

Therefore, the residual is calculated as,

=> 160 − 157.06 = 2.94

b) As per the given standard deviation, here the differences between each data point and its corresponding estimate varies with a standard deviation of 5.9 cm.

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Answer:The diameter of a circle is 8 mm. What is the circumference of the circle?

 25 1/7 mm is the correct answer

Step-by-step explanation:

Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or \(\frac{-1}{10}\) in the fraction form

A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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Step-by-step explanation:

the formula to find the mid point is:

[ (x1+x2)÷ 2 ] + [ ( y1 + y2) ]

[ (2.8 - 3.4)÷2 ] +[ (1.1 + 5.7) ÷ 2 ]

= (-0.3 , 3.4)

Answer:

d=11

Step-by-step explanation:

d = √[(2 - (-9))^2 + (23 - 23)^2]

= √[(2 + 9)^2 + (0)^2]

= √[11^2 + 0^2]

= √(121 + 0)

= √121

= 11

Therefore, the distance between the points (-9, 23) and (2, 23) is 11 units.

Answer:

approximately 7 CDs for her bonus

Answer:

Toris can buy about 7 CDs

Step-by-step explanation:

63 Divided by 9 = 7

Answer:

It is 2/3 or 0.666666667

Answer:

the answer is is 2/3

Step-by-step explanation:

hope this helped

Answer:

C) x = ± 4

Step-by-step explanation:

12x² - 288 = 0

12x ² = 288

\( \small \sf \: x {}^{2} = \frac{288}{12} \\ \)

\(\small \sf x {}^{2} = \frac{ \cancel{288 }}{ \cancel{12}} \\ \)

x² = 24

\( \small \sf \: \sqrt{x {}^{2} } = ± \sqrt{ 24} \)

\( \small \sf \: x_1, _2 = ± \sqrt{ 24} \)

\( \small \sf \: x_1, _2 = ± 4.899 \)

Let's solve algebraically

\(\\ \tt\hookrightarrow g(x)=f(x)+k\)

\(\\ \tt\hookrightarrow g(x)-f(x)=k\)

\(\\ \tt\hookrightarrow k=g(x)-f(x)\)

Answer:

Please give brainliest

Step-by-step explanation:

c

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that \(p = 0.304\)

100 such adults

This means that \(n = 100\)

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803\)

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

The answer is b

dasdasadffsdfsdfs

Answer:

-17x³-10x²+x+9

Step-by-step explanation:

(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(5x+3)(4x²+x-1)

(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(20x³+5x²-5x+12x²+3x-3)

(3x³+7x²-x+6)-(20x³+17x²-2x-3)

-17x³-10x²+x+9

Answer:

Recursive formula of an arithmetic sequence is given by the expression,

                          Tn=a+(n−1)d

                 Where, Tn= nth term

                              a= First term of the sequence

                              n= Number of term

                              d= Common difference

Therefore, number of sticks in the 6th pattern are 32.

                   And number of sticks in the nth pattern are Tn=5n+2

From the picture attached,

Number of sticks in 1st pattern = 7

Number of sticks in 2nd pattern = 12

Number of sticks in 3rd pattern = 17

Sequence formed is 7, 12, 17..... nth term

This sequence has a common difference of 5 in each successive term so it will be an arithmetic sequence.

Therefore, nth term of the sequence will be,

       Tn=a+(n−1)d

       Tn=7+(n−1)5

       Tn=5n+2

If n=6,

       Tn=7+(6−1)5

       Tn=7+25

Tn=32

Hope it helps !

Have a great day!

62 square yards is the area of the figure.

Area is the measure of a region's size on a surface and the area of a plane region or plane area refers to the area of a shape

In the given figure there are three rectangle in that two are smaller rectangles squares.

The rectangle has length of 10 yd and width of 5 yd.

Area of rectangle (Large)=10×5

=50 square yds

The side length of smaller rectangle is 3 yards and width is 2 yd

Area of rectangle (small)=3×2

6 square yds.

As there are two smaller rectangles, then area will be 2(6)=12 yards.

Now total area = 50+12

=62 square yards.

Hence, the area of the figure is 62 square yards.

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The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

According to the information we can infer that the period of the graph is 8.

To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.

In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.

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Answer:

0

Step-by-step explanation:

Substitute x for -3 and y for -1:

= -2(-3) + 6(-1)

= 6 + -6 (or 6 - 6)

= 0

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer:

To determine the amount of the investment after 7 years, we can use the formula:

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

Where:

A = the future value of the investment (the amount after 7 years)

P = the initial principal or investment amount ($2750)

r = the annual interest rate (3.5%)

n = the number of times the interest is compounded per year (quarterly)

t = the number of years the investment is held (7)

First, we convert the annual interest rate to a decimal: 3.5% = 0.035

Then we convert the interest rate to a quarterly rate by dividing by the number of times it is compounded per year: 0.035 / 4 = 0.00875

We can now substitute these values into the formula:

A = $2750(1 + 0.00875)^(4*7)

A = $2750(1.00875)^28

A = $2750(1.3471)

A = $3710.82

So, the amount of the investment after 7 years is $3710.82, rounded to the nearest hundredth.

Step-by-step explanation:

sin⁴A + sin²Acos²A = sin²A

Proving the left hand side ( LHS)

That's

sin⁴A can be written as ( sin²A)(sin ²A)

So we have

( sin²A)(sin ²A) + sin²Acos²A

Next factor sin²A out

That's

sin²A ( sin²A + cos²A)

Using trigonometric identities

That's

Simplify the expression

That's

sin²A × 1

We have the final answer as

As proven

Hope this helps you

Answer:

C. π/2

Step-by-step explanation:

I calculated it logically