After Clara ran 8 times around a square field , she covered a distance of 288km. Calculate the area of the field.​

Answer:

$20.32 or $12.16 depending on the question below!

Step-by-step explanation:

$320.32

It's a bit ambiguous, the current Principal is $100 plus 2 $ additions of $100 or the current Principal is $0 plaus 2 years of $100 contributions. In this case it's $212.16

Answer:

If you earn $15 every week then you will have earned $75 by the end of 5 weeks.

Step-by-step explanation:

If $15 is 1 week,

and you need to find how much money after 5 weeks,

you multiply by the same number on both sides

1 = 15

1*5 = 15*5

5 = 75

So after 5 weeks you get $75

Answer:

  8 cm

Step-by-step explanation:

1/4 of 32 cm is (32/4) cm = 8 cm

The base of the reduced triangle is 8 cm.

Answer:

8 cm

Step-by-step explanation:

I just got it right on edge :) ur welcome

Answer:

False

Step-by-step explanation:

50% of 86 would be 43, 49% would be a bit lower then that.

Answer:

False, Its 42.14

Step-by-step explanation:

What is 49 percent of 86: 49 percent *86 = (49:100)*86 = (49*86):100 = 4214:100 = 42.14. Now we have: 49 percent of 86 = 42.14

Answer:

is the correct answer.

Step-by-step explanation:

We are given that co-ordinates of D is (-3,8) and F is (5,2).

For finding a point E on the line segment DF dividing it in a ratio 4:1, we can use segment formula.

[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

Where [tex](x,y)[/tex] is the co-ordinate of the point which  

divides the line segment joining the points and in the ratio m:n.

As per the given values  

[tex]x_{1} = -3\\x_{2} = 5\\y_{1} = 8\\y_{2} = 2[/tex]

Putting the given values in above formula :

x-co-ordinate of F:

[tex]x = \dfrac{5 \times 4 + (-3 \times 1)}{4+1}\\\Rightarrow \dfrac{17}{5}\\\Rightarrow x = 3.4[/tex]

y-co-ordinate of F:

[tex]y = \dfrac{4 \times 2 + 1 \times 8}{4+1}\\\Rightarrow \dfrac{16}{5}\\\Rightarrow y = 3.2[/tex]

So, answer is [tex]E(3.4,3.2)[/tex].

Answer:

Profit of $11.00

Step-by-step explanation:

44÷2=22

22×$3.50=$77

$77.00-$66.00=$11.00/profit

Answer:

B

Step-by-step explanation:

We start at point 8 and go to point 1

Answer:

y-x = -1

Step-by-step explanation:

Given the two dataset;

(8,x,4,1) and (9,y,5,2)

Since they are already arranged in descending order;

The median for the first dataset is;

M1 = (x+4)/2

The median for the second dataset is;

M2 = (y+5)/2

The median is equal;

M1 = M2

(x+4)/2 = (y+5)/2

x+4 = y+5

Collecting the like terms;

4-5 = y-x

y-x = -1

Answer:

[tex]71\frac{2}{3}[/tex]

Step-by-step explanation:

1st equation:

3 cups = 3x

3x = 75

x = 25, cup = 25

2d equation

25 + lemon* lemons= 25 + y²

25 + y² = 89

y²= 89 - 25

y²= 64

y = 8, lemon = 8

3d equation

3 circles = 3c

3c = 44

c = 44/3 = 14 2/3

4th equation

25 + 32 + 14 2/3 = 71 2/3

Answer: 427/3

Step-by-step explanation:

The 3 cups added together is equal to 75, therefore, we can establish that each cup is equal to 25.

Cup=25

With the second equation, we plug in 25 for the cup and solve for the circles.

25+ Ο×Ο= 89

Ο×Ο=64

Circle=8

For the third equation, we can find the amount for the ovals if we divide by 3.

Oval= 44/3

Now that we know the value of each picture, we can solve the fourth equation.

25+8×(44/3)=?

25+(352/3)=?

(75/3)+(352/3)=427/3

Answer:

$5.20

Step-by-step explanation:

Talked on the phone for 14 minutes .

14 - 3 = 11

11 x .35 = 3.85

3.85 + 1.35 = 5.2

Answer:

The answer is $5.20

Step-by-step explanation:

HOPE THIS HELPSSSSSS:)))))

Answer:

x=3

Step-by-step explanation:

graphed on desmos.com

Answer:

x=4

Step-by-step explanation:

Answer:

√21  or  4.58

Step-by-step explanation:

area of triangle can be found in different ways, and they are equal as:

1/2*x*(7+3)= 1/2*√(x²+3³)*√(x²+7²)

(10x)²= (x²+3³)*(x²+7²)

x²= y

x²=21

x=√21 = 4.58

Answer:

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Width =

Height =

Width =√10 and Height [tex]= \frac{10}{4}[/tex]

Step-by-step explanation:

Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)

are (h,k) and (-h,k).

Hence, the area of the rectangle will be (h + h) × k

Therefore, A = h²k ..... (2).

Now, from equation (1) we can write k = 5 - h² ....... (3)

So, from equation (2), we can write

[tex]A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}[/tex]

For, A to be greatest ,

[tex]\frac{dA}{dh} =0 = 10h-4h^{3}[/tex]

⇒ [tex]h[10-4h^{2} ]=0[/tex]

⇒ [tex]h^{2} =\frac{10}{4} {Since, h≠ 0}[/tex]

⇒ [tex]h = ±\frac{\sqrt{10} }{2}[/tex]

Therefore, from equation (3), k = 5 - h²

⇒ [tex]k=5-\frac{10}{4} =\frac{10}{4}[/tex]

Hence,

Width = 2h =√10 and

Height = [tex]k =\frac{10}{4}.[/tex]

Answer:

m = 13.

Step-by-step explanation:

Recall that adding logarithmic equations, (ex: log a + log b) is the same as log (a·b). Therefore:

log 12 + log 5 = log (4m + 8)

log (12·5) = log (4m + 8)

log (60) = log (4m + 8)  **Ignore 'Log' to solve for 'm'

60 = 4m + 8  **Subtract both sides by 8

52 = 4m  **Divide both sides by 4

m = 13.

Answer

D.

Explanation

mIH = 44

mIJ = 46

mJK = 77

ADDING THEM ALL TO FIND THE MEASURE OF m<HOK

<HOK = 44+46+77

<HOK = 167°

Answer:

Step-by-step explanation:

Hello!

The variable of study is

X: number of complaints per industry (Categorized: Bank, Cable, Car, Cell, Collection

Considering this is a categorical variable, and the hypothesis is that all categories have the same probability, you have to apply a Chi-Square  Goodness to Fit test.

Observed frequencies per category

1) Bank: 26

2) Cable: 44

3) Car: 42

4) Cell: 60

5) Collection: 28

Total= 200

Statistical hypotheses:

H₀: P₁=P₂=P₃=P₄=P₅=1/5

H₁: At least one of the proposed proportions is different.

α: 0.01

[tex]X^2= sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex]

For this test the formula for the expected frequencies is:

[tex]E_i= n * P_i[/tex]

So the expected values for each category is:

[tex]E_1= n * P_1= 200*1/5= 40[/tex]

[tex]E_2= n * P_2= 200*1/5= 40[/tex]

[tex]E_3= n * P_3= 200*1/5= 40[/tex]

[tex]E_4= n * P_4= 200*1/5= 40[/tex]

[tex]E_5= n * P_5= 200*1/5= 40[/tex]

[tex]X^2_{H_0}= \frac{(26-40)^2}{40} +\frac{(44-40)^2}{40} +\frac{(42-40)^2}{40} +\frac{(60-40)^2}{40} +\frac{(28-40)^2}{40} = 11.5[/tex]

This test is one tailed and so is its p-value, under a Chi-square with 4 degrees of freedom p-value:  0.021484.

The p-value is less than the significance level so the decision is to reject the null hypothesis.

c. The industry with most complaints is the cellular phone providers

I hope this helps!

Answer:

1/8 x + 3/4 = -6

Step-by-step explanation:

If you want to solve this as well:

1/8 x = -5 3/4

x = -42

Answer:

B

Step-by-step explanation:

Answer:

1. 3.572 x 10^(-1)

2. 3.108 x 10^(6)

3. 5.31881533 x 10^(-6)

4. 4.18676122 x 10^(-1)

Hope this helps

In the expression, there are 3 terms.

3x and 4x are like terms because the variables are identical.

Also, we have a constant term which is -3.

Answer: The first one

Step-by-step explanation:

If you take a look at the light pink squares, you can count three on the top and three on the bottom. Therefore, when looking at it from the top, you’ll see the first one.

I hope you found my answer helpful! If you did, give it a five-star rating and a thanks! I would really appreciate it!

Even a brainliest if you feel like it! ;)

Answer:

the first image will b da answer

Step-by-step explanation:

happy to help ya :)

Answer:

A: -8

Step-by-step explanation:

4 * -2 is -8, and A is on that point.

Answer:

its a I literally just did it

Step-by-step explanation:

Answer:

C.°

Step-by-step explanation:

According to the theorem , "Angles in the same segment are congruent"

So

m<D = 55°

Answer: The answer has been attached below

Step-by-step explanation:

From the attached calculation, the amount payable in the first payment is cheaper than the amount payable for the second payment.

If both alternatives were presented to me by Indie incorporation after purchasing a sachet water machine from them, I'll choose the first method of payment.

Kindly check the attached file for the calculation which prompted the decision taken.

Answer:

6x^2+47

Step-by-step explanation:

You simple have to "plug" g(x) into f(x) for x.

f(x)=6x+11

f(g(x))=6(x^2+6)+11

f(g(x))=6x^2+36+11

f(g(x))=6x^2+47

Answer:

(a) 0.14%

(b) 2.28%

(c) 48%

(d) 68%

(e) 34%

(f) 50%

Step-by-step explanation:

Let X be a random variable representing the prices paid for a particular model of HD television.

It is provided that X follows a normal distribution with mean, μ = $1600 and standard deviation, σ = $100.

(a)

Compute the probability of buyers who paid more than $1900 as follows:

[tex]P(X>1900)=P(\frac{X-\mu}{\sigma}>\frac{1900-1600}{100})[/tex]

                   [tex]=P(Z>3)\\=1-P(Z<3)\\=1-0.99865\\=0.00135\\\approx 0.0014[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid more than $1900 is 0.14%.

(b)

Compute the probability of buyers who paid less than $1400 as follows:

[tex]P(X<1400)=P(\frac{X-\mu}{\sigma}<\frac{1400-1600}{100})[/tex]

                   [tex]=P(Z<-2)\\=1-P(Z<2)\\=1-0.97725\\=0.02275\\\approx 0.0228[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid less than $1400 is 2.28%.

(c)

Compute the probability of buyers who paid between $1400 and $1600 as follows:

[tex]P(1400<X<1600)=P(\frac{1400-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1600-1600}{100})[/tex]

                              [tex]=P(-2<Z<0)\\=P(Z<0)-P(Z<-2)\\=0.50-0.0228\\=0.4772\\\approx 0.48[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1400 and $1600 is 48%.

(d)

Compute the probability of buyers who paid between $1500 and $1700 as follows:

[tex]P(1500<X<1700)=P(\frac{1500-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1700-1600}{100})[/tex]

                              [tex]=P(-1<Z<1)\\=P(Z<1)-P(Z<-1)\\=0.84134-0.15866\\=0.68268\\\approx 0.68[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1500 and $1700 is 68%.

(e)

Compute the probability of buyers who paid between $1600 and $1700 as follows:

[tex]P(1600<X<1700)=P(\frac{1600-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1700-1600}{100})[/tex]

                              [tex]=P(0<Z<1)\\=P(Z<1)-P(Z<0)\\=0.84134-0.50\\=0.34134\\\approx 0.34[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1700 is 34%.

(f)

Compute the probability of buyers who paid between $1600 and $1900 as follows:

[tex]P(1600<X<1900)=P(\frac{1600-1600}{100}<\frac{X-\mu}{\sigma}<\frac{1900-1600}{100})[/tex]

                              [tex]=P(0<Z<3)\\=P(Z<3)-P(Z<0)\\=0.99865-0.50\\=0.49865\\\approx 0.50[/tex]

*Use a z-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1900 is 50%.

Answer:

Step-by-step explanation:

Answer:

x = 160 ft

Step-by-step explanation:

The distance traveled by the car between the time the brakes are applied and the time the car comes to a stop is given by:

[tex] v_{f}^{2} = v_{0}^{2} + 2ax [/tex]

Where:

[tex]v_{f}[/tex]: is the final speed of the car = 0 (since it stops)

[tex]v_{0}[/tex]: is the initial speed of the car = 80 ft/s  

a: is the acceleration of the car = -20 ft/s²        

x: is the distance recorred by the car

The distance traveled by the car between the time the brakes are applied and the time the car comes to a stop is:

[tex] x = \frac{v_{f}^{2} - v_{0}^{2}}{2a} = \frac{0 - (80 ft/s)^{2}}{2*(-20 ft/s^{2})} = 160 ft [/tex]  

Therefore, the car travels 160 ft between the time the brakes are applied and the time the car comes to a stop.

I hope it helps you!

Answer:

About 786 would be expected to yield more than 180 bushels of corn per acre

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 189.3, \sigma = 23.5[/tex]

Proportion of acres with more than 180 bushels of corn per acre:

This is 1 subtracted by the pvalue of Z when X = 180. So

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

[tex]Z = \frac{180 - 189.3}{23.5}[/tex]

[tex]Z = -0.4[/tex]

[tex]Z = -0.4[/tex] has a pvalue of 0.3446.

1 - 0.3446 = 0.6554

Out of 1200:

0.6554*1200 = 786.48

About 786 would be expected to yield more than 180 bushels of corn per acre

It’s the y-axis for the first answer and the other one it’s a reflection of JKL what line of reflection maps point L to point L at (-2,3).

When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed-line. The fixed-line is called the line of reflection.

RST could be the result of two translations of ABC. TSR could be the result of a reflection and a translation of ABC.

Learn more about the line of reflection at

https://brainly.com/question/8496129

#SPJ2

Answer:

The correct answer is:

12

Step-by-step explanation:

Length of county = 70 miles

breadth of county = 60 miles

area of county (rectangle) = Length × Breadth = 60 × 70 = 4,200 sqaure miles

population of county = 50,000

Therefore, to find the average number of people living on each square mile of the county, we will assume that the whole population is equally distributed in the county, hence the population per square mile is calculated thus:

Total area = 4,200 square miles

total population = 50,000

This means that:

4,200 square miles contains 50,000 people

4,200 sq. miles = 50,000 people

∴ 1 sq. mile = 50,000 ÷ 4,200 = 11.9 = 12 people (to the nearest whole number)

therefore number of people living per square mile = 12

Answer:

12

Step-by-step explanation:

Got it right on the test! <3

Answer:

B. 1.82n

Step-by-step explanation:

Expression given: n + n - 0.18n

Adding n+n gives '2n'

then subtracting 0.18n from 2n gives= 1.82 n

Therefore,

n + n - 0.18n=0.18n