Writing about Distance
Explain why 1-31 + 191 represents the distance between
the points (-3, -5) and (9,-5).
1

Answer:

x = -6

Step-by-step explanation:

Let the number be x

Condition:

=> 10-3x = x+22

Let's Solve it:

=> -3x-x = 22-10

=> -2x = 12

Dividing both sides by -2

=> x = -6

Answer:

x=6

Step-by-step explanation:

Answer:  C) CD has dimensions 7 x 7

Step-by-step explanation:

When multiplying matrices the number of rows of the first matrix MUST equal the number of columns of the second matrix. I call these the "inside" numbers. The resulting dimension will be the "outside" numbers.

                 [7 x 2] × [2 x 7]

                        ↓     ↓

                        inside             These must match!

                [7 x 2] × [2 x 7]

                 ↓                  ↓

                       outside             These are the dimensions!

                7          ×        7        are the dimensions of CD

Answer:

[tex]d\approx 125\:m[/tex]

Step-by-step explanation:

[tex]sin\left(26\right)=\frac{55}{d}\\\\d\approx 125\:m[/tex]

Best Regards!

Answer:

10 in

Step-by-step explanation:

Old proportions:

2 x 3

New proportions

h x 15

Assuming the painting has been increased by a constant scale factor.

Where x is the unknown scale factor, and h is the height after it has been enlarged.

[tex]3 * x = 15\\2 * x = h[/tex]

Rearrange second equation:

[tex]3 * x = 15\\x =\frac{h}{2}[/tex]

Substitute:

[tex]3*\frac{h}{2} =15\\\frac{h}{2}=5\\h=10[/tex]

Answer:

hey!

your answer is

10 inches

Step-by-step explanation:

the answer is this because,

15 inches is 3 inches times by 5

so we would have to times 2 inches by 5 to get 10 inches

so the dimensions would be 10 inches in length and 15 inches in width

hope this helps

Check out the steps shown below in the attached image to see how I got the answer.

The rules I used were

[tex]\sqrt[m]{x} = x^{1/m}[/tex]

and

[tex](a^b)^c = a^{b*c}[/tex]

Answer:

Its D The Last Graph

Step-by-step explanation:

it just is my guy

Answer:

Real Rate of Return = 4.9%  and Nominal rate = 0.08 or 8%

Real Rate of Return = 2.9%  and Nominal rate = 0.081 or 8.1%

real rate = 5 %   and Nominal rate = 0.0815 or 8.15%

real rate = 3%  and Nominal rate = 0.0815 or 8.15%

Step-by-step explanation:

given data

time period = 2 year

Coupon rate = 8% =  0.08

Inflation rate 1st year = 3% =  0.03

Inflation rate 2nd year = 5% =  0.05

solution

we get here Real Rate of Return  that is express as

Real Rate of Return = (Coupon Rate - Inflation rate) ÷ (1+Inflation rate)   .........1

so that here 1st year Real return  will be

Real Rate of Return = (0.08 - 0.03) ÷ (1+0.03)

solve it we get

Real Rate of Return = 4.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............2

(1 + nominal rate) = (1 + 0.049) × (1 + 0.03)

Nominal rate = 0.08 or 8%

and

for 2nd year Real return  will be

Real Rate of Return = (0.08 - 0.05) ÷ (1+0.05)

solve it

Real Rate of Return = 2.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............3

(1 + nominal rate) = (1 + 0.029) × (1 + 0.05)

Nominal rate = 0.081 or 8.1%

and

now for the bond Treasury Inflation-Protected Securities, we get real and nominal return that is

for 1st year

Real rate = Coupon rate - Inflation     ...............4

Real rate = 0.08 - 0.03

real rate = 0.05

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ................5

(1 + nominal rate) = (1 + 0.05) × (1 + 0.03)

so

Nominal rate = 0.0815 or 8.15%

and for 2nd years  it will be

Real rate = Coupon rate - Inflation      ....................6

Real rate = 0.08 - 0.05

real rate = 0.03

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ...................7

(1 + nominal rate) = (1 + 0.03) × (1 + 0.05)

so

Nominal rate = 0.0815 or 8.15%

Answer:

Is possible to make a Type I error, where we reject a true null hypothesis.

Step-by-step explanation:

We have a hypothesis test of a proportion. The claim is that the proportion of paid leave has significantly decrease from 2011 to january 2012. The P-value for this test is 0.0271 and the nunll hypothesis is rejected.

As the conclusion is to reject the null hypothesis, the only error that we may have comitted is rejecting a true null hypothesis.

The null hypothesis would have stated that there is no significant decrease in the proportion of paid leave.

This is a Type I error, where we reject a true null hypothesis.

Answer:

At a plus or minus 5%

Her claim is wrong

Step-by-step explanation:

Ok..

Let's calculate the total amount of result first.

6 +14+22+8+4= 54.

Let's take the percentage of each.

For A

6/54= 0.11

11.1%

11.1%*5%= 10.5

For B

14/54

=0.25925

= 25.9%

25.9%*5%= 24.605

For C

22/54

0.4074

40.7%

40.7*5%= 42.73%

For D

8/54

= 0.148

14.8%

14.8%*5% = 14.06%

For E

4/54

= 0.074

= 7.4%

7.4%*5%=7.77%

But she suggested

10% A's, 23% B's, 45% C's, 14% D's, and 8% F's

Answer:

At  α= 0.05, there is enough evidence to support the claim that the average rent has increased from $2800.

P-value = 0.001.

Step-by-step explanation:

The question is incomplete:

The average monthly rent for a one bedroom apartment in NYC was $2,800 in 2013. A random sample of 16 apartments in NYC showed that the average rent is $2,850 with standard deviation of $50. . Test the claim that the average rent has increased at α= 0.05.

This is a hypothesis test for the population mean.

The claim is that the average rent has increased from $2800.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=2800\\\\H_a:\mu> 2800[/tex]

The significance level is 0.05.

The sample has a size n=16.

The sample mean is M=2850.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=50.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{50}{\sqrt{16}}=12.5[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2850-2800}{12.5}=\dfrac{50}{12.5}=4[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=16-1=15[/tex]

This test is a right-tailed test, with 15 degrees of freedom and t=4, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>4)=0.001[/tex]

As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average rent has increased from $2800.

Answer:

The answer is the first option. ΔRED ~ ΔTAN

Step-by-step explanation:

This is because the letters should be in the same order. Notice how T and R are in the same spots so are E and A, as well as D and N.

Answer:

2/15+1/3

2/15+5/15

=7/15

=.46666666666666

6/7-1/3

18/21-7/21

=11/21

=.5238......

So 6/7-1/3 is closer

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Original price= $65

Sale discount= 20%

Discounted price= $65*(100-20)/100= $65*0.8= $52

Answer:

20%

step by step explanation:

65×20/100

65×1/5

13×1

$13.

subtract $13 from $65

$65-13=$52

Answer:

  -3/2

Step-by-step explanation:

If the first equation is 9x +3/4y = 6, then the solution would look like this:

  [tex]\left(9x+\dfrac{3}{4}y\right)-\dfrac{3}{2}\left(2x+\dfrac{1}{2}y\right)=(6)-\dfrac{3}{2}(9)\\\\6x=-\dfrac{15}{2}\\\\x=-\dfrac{15}{12}=-\dfrac{5}{4}\\\\2\left(-\dfrac{5}{4}\right)+\dfrac{1}{2}y=9\ \longrightarrow\ y=2\left(9+\dfrac{5}{2}\right)=23[/tex]

An appropriate multiplier is -3/2.

Answer:

25%

Step-by-step explanation:

The last percentile always contains 25% of the observations.

Answer:

-2x² + 15

Step-by-step explanation:

Step 1: Add like terms

4x² - 6x² = -2x²

-10x + 10x = 0

3 + 12 = 15

Step 2: Rewrite

-2x² + 15

Answer:

a) The volume of the wooden block is 240 cm^3.

b) The density of the wooden block is 0.7 g/cm^3.

Step-by-step explanation:

The volume of the rectangular wooden block can be calculated as the multiplication of the length in each dimension: length, wide and height.

With dimensions 10 cm x 3 cm x 8 cm, the volume is:

[tex]V=L\cdot W\cdot H = 10\cdot 3\cdot 8=240[/tex]

The volume of the wooden block is 240 cm^3.

If we know that the mass of the wooden block is 168 g, we can calculate the density as:

[tex]\rho = \dfrac{M}{V}=\dfrac{168}{240}=0.7[/tex]

The density of the wooden block is 0.7 g/cm^3.

Answer:

y - 4 = 4 (x + 3)

Step-by-step explanation:

Point-slope form is y - y1 = m (x - x1)

y1 is 4, m is 4, and x1 is -3

When you plug them in, you get: y - 4 = 4 (x + 3)

Note: (x - -3) becomes (x + 3)

I hope this helps!!

Answer:

1/2

Step-by-step explanation:

There are two sides of a coin, therefor you have 1/2 a chance of getting heads or tails. 1/2=50%

Answer:

50%

Step-by-step explanation:

There are 2 sides of a coin which have an equal chance of landing on the visible side. In other words, they each have half of the chance, or 50%.

Answer:

  6 × 5 × 5 square inches

Step-by-step explanation:

The area of one of the figure's 6 squares is the product of its side length, so is ...

  5 × 5 square inches

The area of all 6 of those squares is 6 times this, or ...

  6 × 5 × 5 square inches

Answer:

a) [tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}}) [/tex]

And replacing we got:

[tex]\bar X \sim N(\mu=25, \frac{4}{\sqrt{30}}= 0.730) [/tex]

b) [tex] z =\frac{27-25}{\frac{4}{\sqrt{30}}}= 2.739[/tex]

And using the normal standard distribution table and the complement rule we got:

[tex] P(z>2.739) =1- P(z<2.739) = 1-0.997= 0.003[/tex]

Step-by-step explanation:

From the info given if we define the random variable X as "amount of saturated fat in a daily serving of a particular brand of breakfast cereal " we know that the distribution of X is given by:

[tex] X \sim N(\mu =25, \sigma =4)[/tex]

Part a

For this case the sample size would be n =30 and then the distribution for the sample mean would be given by:

[tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}}) [/tex]

And replacing we got:

[tex]\bar X \sim N(\mu=25, \frac{4}{\sqrt{30}}= 0.730) [/tex]

Part b

We want to find this probability:

[tex] P(\bar X >27)[/tex]

And we can use the z score formula given by:

[tex] z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{27-25}{\frac{4}{\sqrt{30}}}= 2.739[/tex]

And using the normal standard distribution table and the complement rule we got:

[tex] P(z>2.739) =1- P(z<2.739) = 1-0.997= 0.003[/tex]

Answer:

slope = -4/5

Step-by-step explanation:

A line passes two points (x1, y1) and (x2, y2).

The slope of this line can be calculate by the formula:

s = (y2 - y1)/(x2 - x1)

=>The line that passes A(-4, 8) and B(-9, 12) has the slope:

s = (12 - 8)/(-9 - -4) = 4/(-5) = -4/5

Hope this helps!

Answer:

{-1, -8}

Step-by-step explanation:

Please enclose "1 - 3x" inside parentheses so the reader will know that you want the square root of all of "1 - 3x".

Squaring both sides of the given equation, we get:

1 - 3x = x^2 + 6x + 9, or  x^2 + 6x + 8 + 3x, or

x^2 + 9x + 8 = 0.  Factoring, we get:  (x + 8)(x + 1) = 0, so that the solutions are {-1, -8}.

Answer:

I hope the given equation is :

{-1, -8}

First step to solve this equation to remove square root from the left side. So, take square on each sides of the equation. Therefore,

1 - 3x = (x + 3)²

1 - 3x = (x + 3)*(x + 3) Since a² = a * a

1 - 3x = x² + 3x + 3x + 3² By multiplication.

1 - 3x = x² + 6x + 9 Combine the like terms.

x² + 6x + 9 - 1 + 3x = 0 Subtract 1 and add 3x from each sides of equation

x² + 9x + 8 = 0 Combine the like terms.

Next step is to factor the trinomial to solve the above equation for x.

For that break downn the constant 8 into two multiples so that the addition of the multiples will result the coefficient of x = 9.

So, 8 = 1 * 8

Addition of 1 and 8 will give 9. So, next step is to replace 9x with 1x + 8x. So,

x² + 1x + 8x + 8 = 0

(x² + 1x) + (8x + 8) = 0 Group the terms.

x ( x + 1) + 8 (x + 1 ) = 0 Take out the common factor from each group.

(x +1 ) ( x + 8 ) = 0 Take out the common factor (x + 1).

So, x + 1 = 0 and x + 8 = 0 Set up each factor equal to 0.

Hence, x = -1 and - 8.

Next step is to plug in -1 and -8 in the original equation to cross check the solutions.

For x = -1,

Simplify each sides separately.

2 = 2

2 = 2 is correct. So, x = -1 satisfy the equation.

Hence, x = -1 is the real solution of the given equation.

Similarly let's plug in x = -8 now. So,

Simplify each sides separately.

5 = 2

5 = 2 is not true. So, x = -8 is the extraneous solution.

Therefore, the only solution is x = -1.

Hence, the correct choice is C.

Hope this helps you!

Step-by-step explanation:

mark brainlies plssssssssss

Answer:  see table below

Step-by-step explanation:

Simply add the digit on the left to the digit on the top

1, 2 --> 1 + 2 = 3

3, 4 --> 3 + 4 = 7

4, 2 --> 4 + 2 = 6

6, 6 --> 6 + 6 = 12

[tex]\begin{array}{c|c|c|c}&\underline{\quad 2\quad }&\underline{\quad 4\quad }&\underline{\quad 6\quad }\\\underline{\quad 1 \quad}&\bold{\underline{\quad 3\quad}}&\underline{\quad 5\quad}&\underline{\quad 7\quad}\\\underline{\quad 2 \quad}&\underline{\quad 4\quad }&\underline{\quad 6\quad }&\underline{\quad 8\quad}\\\underline{\quad 3 \quad}&\underline{\quad 5\quad }&\bold{\underline{\quad 7\quad}}&\underline{\quad 9\quad}\\\end{array}[/tex]

[tex]\begin{array}{c|c|c|c}{\underline{\quad 4 \quad}&\bold{\underline{\quad 6\quad }}&\underline{\quad 8\quad }&\underline{\quad 10\quad }\\\underline{\quad 5 \quad}&\underline{\quad 7\quad}&\underline{\quad 9\quad}&\underline{\quad 11\quad}\\\underline{\quad 6 \quad}&\underline{\quad 8\quad }&\underline{\quad 10\quad }&\bold{\underline{\quad 12\quad}}\\\end{array}[/tex]

Answer:

2√3

Step-by-step explanation:

Step 1: Find perfect square roots

√4 x √3

Step 2: Convert

2 x √3

Step 3: Answer

2√3

Answer:

Hiking: 28%

Canoeing: 16%

Swimming: 24%

Fishing: 32%

Step-by-step explanation:

21 + 12 + 18 + 24 = 75 (there are 75 campers)

21 out of 75 = 28%

12 out of 75 = 16%

18 out of 75 = 24%

24 out of 75 = 32%

Hope this helps!

Please mark Brainliest if correct

Answer:

-7/2

Step-by-step explanation:

To find the y coordinate of the midpoint and the y coordinates together and divide by 2

(2+-9)/2

-7/2

Answer:

2 goes in green box

Step-by-step explanation:

(9,2) (-7,-9)

(x1, y1) (x2,y2)

Midpoint is (x1+x2)/2 , (y1+y2)/2

(9-7)/2= 1

(2-9)/2 = -7/2

Answer:

tan (∠x) = yz/yx

Step-by-step explanation:

Tangent is opposite over hypotenuse (or in unit circle case sin∅/cos∅)

If this is the case, then the opposite side of ∠x would be segment yz and the adjacent side of ∠x would be segment yx. Then you put your answer as tan (∠x) = yz/yx

Answer:

13

Step-by-step explanation:

I am assuming you mean y^2.  In this case, y = √169.  y = 13