The distance between (-1,2) and (-2,1)

Answer:

256

Step-by-step explanation:

since the the path surounds both sides of the garden you have to add 2 x instead of just x

let me show you what i mean. 10=garden width and 3=path width=x

since it is a square, we can calculate the area by taking one side and squaring it so you get (10+2x)^2 which is 16^2 since x is 3, the width of the garden

to do simaler problems just use thei formula (garden length+2path length)^2 or (garden length+2path length)times(garden length+2path length)

Answer:

10 years.

Step-by-step explanation:

Let total age of five people be x;

x/5 = 40

x = 40*5

x = 200.

Let age of new person be y;

(200 + y)/ 6 = 35

200 + y = 210

y = 210-200

y= 10.

The age of the new person is 10.

See ya!

Hope it helps!

Answer:

[tex]\boxed{\sf \ \ \ 10 \ y\ old \ \ \ }[/tex]

Step-by-step explanation:

Hello,

let s note a, b, c, d, e the age of the 5 people

we can say that

   [tex]\dfrac{a+b+c+d+e}{5}=40[/tex]

So [tex]a+b+c+d+e=5*40=200[/tex]

Now there is another person , let s note his age x

we can write

   [tex]\dfrac{a+b+c+d+e+x}{6}=35\\<=> a+b+c+d+e+x=6*35=210\<=> x = 210 - (a+b+c+d+e)[/tex]

but we know that a+b+c+d+e = 200 so

x = 210 - 200 = 10

hope this helps

Complete Question:

Football and Cognitive Percentile A recent study1 examined several variables on collegiate football players, including the variable Years, which is number of years playing football, and the variable Percentile, which gives percentile on a cognitive reaction test. The regression line for predicting Percentile from Years is:

Percentile = 102 - 3.34(years)

1Singh R, et al., "Relationship of Collegiate Football Experience and Concussion with Hippocampal Volume and Cognitive Outcomes", JAMA, 311(18), 2014. Data values are estimated from information in the paper. Predict the cognitive percentile for someone who has played football for 11 years and for someone who has played football for 17 years. Enter the exact answers.

Answer:

cognitive percentile for someone who has played football for 11 years = 65.26

cognitive percentile for someone who has played football for 17 years = 45.22

Step-by-step explanation:

This is a very straight forward question. The regression line for predicting percentile from the number of years has been explicitly given in the question as:

Percentile = 102 - 3.34(years)

Therefore,

the cognitive percentile for someone who has played football for 11 years will be calculated as:

Percentile = 102 - 3.34(11)

Percentile = 102 - 36.74

Percentile = 65.26

the cognitive percentile for someone who has played football for 17 years will be calculated as:

Percentile = 102 - 3.34(17)

Percentile = 102 - 56.78

Percentile = 45.22

Answer:

A, B, C, D, and F are all solutions.

Step-by-step explanation:

All of the possible answers are correct except for E. Answer E is 0.001 less than -4 which would not make the equation true. Hope this helps!!

Answer:

Step-by-step explanation:

Here,

[tex]H_0:\sigma _1 = \sigma _2\\\\H_1:\sigma_1 \neq \sigma_2[/tex]

a) Test Statistic

[tex]F = \frac{S_1^2}{S_1^2} \\\\=\frac{0.37^2}{1,89^2} \\\\=0.04[/tex]

b) Critical value for

[tex]\sigma = 0.1[/tex]

degrees of freedom is

[tex](n_1 - 1, n_2 -1)[/tex]

d.f =(5 - 1, 5 - 1)

d.f = (4, 4)

Fcritical=

[tex]F_{0.1},(4,4)\\\\[/tex]

Fcritical = 4.11

Critical value = 4.11

Here,

F test Statistic < critical value

so we fail to reject null hypothesis H₀

Conclusion

There is insufficient evidence to conclude the standard deviations are different.

we may assume they are equal.

Answer:

Yttrium

Step-by-step explanation:

The atomic number of yttrium is 39. . An isotope with an atomic mass of 193 has 116 neutrons.

Answer:

77

number of protons is 77. Therefore atomic number atomic number is 77.

Answer:

0-3 and there

Step-by-step explanation:

1. if the person who is zero or a woman or woman would like

2. I think the same way I think it is a lot more minutes and more than a lot

Answer:

-8 and-2

Step-by-step explanation:

its because oe of the point is on the -2 and one is on the -8 also did it on edg  2020

Answer:

It would me shorter by about 31.4 inches

Step-by-step explanation:

Answer:

yes (longer)

Step-by-step explanation:

20π=62.83...

62.83...x10=628.31...

628.31.../12=52.35'

step one, finding circumference.

step two multiplying circumference by 10 pizzas

step three dividing 10x circumference by 12 inches to feet.

Answer:

approximately $95.94375

Answer:

There are 52 weeks in a year

Total of 5 years

Step-by-step explanation:

Per Week the Miles are 300 miles

Total Miles over the course of 5 years = Miles per Week * Number of Weeks in a Year * Number of Years

How did i solve this:

Total Cost of New Car = Total Cost of Gas + Total Insurance Premium + Purchase Price of New Car = 5460 + 4500 + 20,000 = $29,960  

Total Cost of New Car = $29,960

Answer: = 300 * 52 * 5 = 78,000 miles in 5 years

Plz mark brainliest

Hope this helps.

Answer:

Step-by-step explanation:

Answer:

1761 square meters

Step-by-step explanation:no, thanks.

Complete Question

The complete question is shown on the first uploaded image

Answer:

The angle P is  [tex]P = 26^o[/tex]

Step-by-step explanation:

From the question we are told that

    The angle BD is  [tex]BD = 154^o[/tex]

Now looking at the diagram we can deduce that angle [tex]B \r CD = 180 ^o[/tex]

Now looking at line AD we see that it is tangent to the circle this implies that line CD is perpendicular to line AD

   So  we can also deduce that

            [tex]B \r C A + D \r C A = 180[/tex]

=>       [tex]D \r C A = 180 - 154[/tex]

=>       [tex]D \r C A = 26^o[/tex]

 Now total angle in a triangle is 180 so

        [tex]C\r DA + D\r A C + A \r C D = 180^o[/tex]

Now  [tex]D \r A C = 90^o[/tex]

So  

          [tex]D \r AC = 180 - (90 + 26)[/tex]

=>      [tex]P = D \r AC = 26^o[/tex]

Step-by-step explanation:

4x+6x-8-12=10

10x-20=10

10x=10+20

10x=30

x=3

Answer:

x=3

Step-by-step explanation:

to find X first find the like terms

like terms: 4x and 6x

like terms: -12 and -8

combine the like the like terms

4x+6x=10x

-12-8=-20

10x-20=10

add 20 on both sides

10x-20+20=10+20

10x=30

divide both sides by 10

10x/10=30/10

x=3

ANSWER CHECK

substitute the variable

4(3) – 8 + 6(3) – 12 = 10

12-8+18-12

4+18-12

22-12 = 10

10=10

Answer:

78 stamps

Step-by-step explanation:

50 stamps collected after 3 days

4 stamps added a day

next 7 days added= 7*4= 28 stamps

Total after 10 days= 50+28= 78 stamps

Answer:

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation [tex]S'(t)= -30t^{2} + 420t[/tex]. The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

[tex]\int\limits {S'(t)} \, dt = \int\limits ({-30t^{2}+420t }) \, dt \\S(t) = \frac{-30t^{3} }{3}+\frac{420t^{2} }{2}\\ S(t)= -10t^{3} +210t^{2} \\[/tex]

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

[tex]Given\ S(t) = -10t^{3} + 210t^{2}[/tex]

[tex]S(0) = -10(0)^{3} + 210(0)^{2}\\S(0) = 0\\S(7) = -10(7)^{3} + 210(7)^{2}\\S(7) = -3430+10,290\\S(7) = 6,860[/tex]

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

[tex]S(14) = -10(14)^{3} + 210(14)^{2}\\S(14) = -27,440+41,160\\S(14) = 13,720[/tex]

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

Answer:

[tex]\large \boxed{\$98.16}[/tex]

Step-by-step explanation:

Assume that your map looks like the one below.

1. Calculate the distance

It looks like the distance on the map is 12 cm.

[tex]\text{Distance} = \text{12 cm} \times \dfrac{\text{30 mi}}{\text{1 cm}} = \text{ 360 mi}[/tex]

2. Calculate the volume of gasoline

[tex]\text{Volume} = \text{ 360 mi} \times \dfrac{\text{1 gal}}{\text{15 mi}} = \text{24 gal}[/tex]

3. Calculate the cost of the gasoline

[tex]\text{Cost} = \text{24 gal} \times \dfrac{\$4.09}{\text{1 gal}} = \mathbf{\$98.16}\\\\\text{It will cost $\large \boxed{\mathbf{\$98.16}}$ to drive to the ski lodge.}[/tex]

Answer:

275 square inches

Step-by-step explanation:

Here we have to give us various measurements, but we do not know to which figure it corresponds since you do not attach it, but I have found an image where they asked the same questions and it makes sense that it is the question, the attached one.

We have that the rectangle is 15 inches long and the width corresponds to the same as the base of the triangle, that is, 5 inches, therefore, the area of the rectangle would be:

A = l * w

A = 15 * 5

A = 75

75 in ^ 2 but how are 3 rectangles would be:

75 * 3 = 225

225 in ^ 2 would be the area of the 3 rectangles, it would be necessary to add the area of the two triangles that would be:

A = b * h / 2

replacing:

A = 5 * 10/2

A = 25

25 in ^ 2 for the triangle, but being 2, they would be 50 ^ 2, now in total they would be:

225 + 50 = 275

In other words, the surface area of the figures is 275 square inches

Range of data = [tex]\boxed{\sf{\red{Highest-lowest}}}\\[/tex]

Data = 1, 3 , 5 , 7 , 8 , 10 , 16 ,18 , 30, 35

Range = 35 - 1

Range of data is 34.

Answer:

d. 0.05 < p-value < 0.1: There is no evidence to suggest tha tthe new driver has been able to shorten the mean delivery time for this route.

Step-by-step explanation:

We calculate the mean and standard deviation of the sample:

[tex]M=\dfrac{1}{8}\sum_{i=1}^{8}(6.61+6.25+6.4+6.57+6.35+5.95+6.53+6.29)\\\\\\ M=\dfrac{50.95}{8}=6.369[/tex]

[tex]s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{8}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{7}\cdot [(6.61-(6.369))^2+...+(6.29-(6.369))^2]}\\\\\\s=\sqrt{\dfrac{0.3216875}{7}}=\sqrt{0.046}\\\\\\s=0.214[/tex]

This is a hypothesis test for the population mean.

The claim is that the new driver has been able to shorten the route completion time (significantly less than 6.5 hours).

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=6.5\\\\H_a:\mu< 6.5[/tex]

The significance level is 0.01.

The sample has a size n=8.

The sample mean is M=6.369.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.214.

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

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.214}{\sqrt{8}}=0.08[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{6.369-6.5}{0.08}=\dfrac{-0.13}{0.08}=-1.73[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=8-1=7[/tex]

This test is a left-tailed test, with 7 degrees of freedom and t=-1.73, so the P-value for this test is calculated as (using a t-table):

[tex]P-value=P(t<-1.73)=0.063[/tex]

As the P-value (0.063) is bigger than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the new driver has been able to shorten the route completion time (significantly less than 6.5 hours).

Answer:

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 49

Standard deviation = 9

Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 58?

22 = 49 - 3*9

So 22 is three standard deviations below the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above the mean.

Of those 50% which are below the mean, 99.7% of those are within 3 standard deviations of the mean, that is, greater than 22.

58 = 49 + 9

So 58 is one standard deviation of the mean.

Of those which are above the mean, 68% are within 1 standard deviation of the mean, that is, lesser than 58.

Then

0.997*0.5 + 0.68*0.5 = 0.8385 = 83.85%

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Answer:

Hope this is correct

Answer:

  y +2 = (1/2)(x -4)

Step-by-step explanation:

The given line's equation is in the slope-intercept form ...

  y = mx + b

where m is the slope and b is the y-intercept. Matching your equation to this one, you see that m = -2. That is, the slope of the given line is -2.

The slope of the perpendicular line will be the opposite of the reciprocal of this slope, so will be ...

  -1/(-2) = 1/2

__

We can use the desired slope and given point in the point-slope form of the equation of a line:

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Filling in the values we want, m=1/2, (h, k) = (4, -2), gives us the equation ...

  y +2 = (1/2)(x -4) . . . . the equation of your line

__

This can be rearranged to any of several other forms

  y = 1/2x -4 . . . . . slope-intercept form

  x -2y = 8 . . . . . . standard form

Answer:

 y +2 = (1/2)(x -4) did it on college board

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

A linear association means that the dots form a line

Answer:

The answer is A

Step-by-step explanation:

A linear association is when the dots on the graph create a straight line. A creates a straight line therefore it is a linear association.

Answer:

Volume of the hemisphere will be 57 cubic units.

Step-by-step explanation:

A quarter circle which intersects the x-axis at (-3, 0) when rotated around the y-axis, 3-D figure formed will be a hemisphere.

As shown in the figure attached,

Radius of the hemisphere formed = 3 units

Volume of the hemisphere = [tex]\frac{1}{2}(\frac{4}{3})\pi (r)^{3}[/tex]

                                             = [tex](\frac{2}{3})\pi (r)^{3}[/tex]

                                             = [tex]\frac{2}{3}\pi (3)^{3}[/tex]

                                             = 18π

                                             = 56.55 cubic units

                                             ≈ 57 cubic units

Therefore, volume of the hemisphere will be 57 cubic units

Answer:

2y=5x

Step-by-step explanation:

-3x+5y=2x+3y

5y=5x+3y

2y=5x

Answer:

Step-by-step explanation:

Hello!

To test the claim that eating a healthy breakfast improves the performance of students on their test a math teacher randomly asked 46 students what did they have for breakfast before they took the final exam and classified them as:

Group 1: Ate healthy breakfast

X₁: Number of students that ate a healthy breakfast before the exam and earned 80% or higher.

n₁= 26

Group 2: Did not eat healthy breakfast

X₂: Number of students that did not eat a healthy breakfast before the exam and earned 80% or higher.

n₂= 20

After the test she counted the number of students that got 80% or more in the test for each group obtaining the following sample proportions:

p'₁= 0.50

p'₂= 0.40

The parameters of study are the population proportions, if the claim is true then p₁ > p₂

And you can determine the hypotheses as

H₀: p₁ ≤ p₂

H₁: p₁ > p₂

α: 0.05

[tex]Z= \frac{(p'_1-p'_2)-(p_1-p_2)}{\sqrt{p'(1-p')[\frac{1}{n_1} +\frac{1}{n_2}] } } }[/tex]≈N(0;1)

pooled sample proportion: [tex]p'= \frac{x_1+x_2}{n_1+n_2} =\frac{13+8}{46} = 0.46[/tex]

[tex]Z_{H_0}= \frac{(0.5-0.4)-0}{\sqrt{0.46(1-0.46)[\frac{1}{26} +\frac{1}{20}] } } }= 0.67[/tex]

p-value: 0.2514

The decision rule is:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The p-value: 0.2514 is greater than the significance level 0.05, the test is not significant.

At a 5% significance level you can conclude that the population proportion of math students that obtained at least 80% in the test and had a healthy breakfast is equal or less than the population proportion of math students that obtained at least 80% in the test and didn't have a healthy breakfast.

So having a healthy breakfast doesn't seem to improve the grades of students.

I hope this helps!

Answer:

A , B and E.

Step-by-step explanation:

the scientist can control and deal with the measure of manure that is given to a solitary corn plants. thus A is correct.

The reaction variable is the yield recorded for each plot due to the fact that the yield recorded in each plot is needed to check  whether the compost is given or not. choice B is also correct

it's considered an experiment because the specialist is controlling the autonomous variable. then E is a right choice.

Answer:

6 miles

Step-by-step explanation:

From the information given you can write the following equation:

x+y= 16 (1), where

x= April's distance

y= Blake's distance

You also have that Blake ran 4 miles farther than April which means that y= 4+x and you can replace this in the first equation and isolate x:

x+(4+x)= 16

x+4+x=16

2x=16-4

x=12/2

x= 6

According to this, the answer is that April ran 6 miles.

[tex]\frac{3}{2}k - 7 = \frac{k}{4} - 2[/tex]

Since our fractions have two different denominators of 2 and 4 in this equation, we can get rid of the fractions by multiplying both sides of the equation by their common denominator, which is 4.

So we have [tex](4)(\frac{3}{2}k - 7) = (\frac{k}{4} - 2)(4)[/tex].

Make sure you distribute the 4 through both

terms on both sides of the equation.

On the left, (4)(3/2k) is 6k and (4)(-7) is -28.

On the right, (4)(k/4) is k and (4)(-2) is -8.

So we have 6k - 28 = k - 8.

Now subtract k from both sides to get 5k - 28 = -8.

Now add 28 to both sides to get 5k = 20.

Finally, dividing both sides by 5, we find that k = 4.