what is the mean absolute deviation of these numbers= 445, 380, 375, 370, 315​

9514 1404 393

Answer:

  29

Step-by-step explanation:

From the point where the chords cross, the product of lengths to the circle intercepts is the same for both chords:

  LB·LD = LC·LE

  10·18 = 9·LE

  LE = 180/9 = 20

The the measure of CE is ...

  CE = LC +LE = 9 + 20

  CE = 29

Answer:

3,000 meters

Step-by-step explanation:

recall that 1 kilometer = 1,000 meters

hence  

3 kilometers = 1,000 meters x 3 = 3,000 meters

Answer:

Two consecutive even integers are 32 and 34.

Step-by-step explanation:

Let the two consecutive even integers are x and x+2.

ATQ,

Twice the smaller is 26 less than. 3 times the smaller

2x = 3(x-2) -26

2x = 3x-6-26

2x = 3x -32

32 = 3x-2x

x = 32

Hence, the smaller number be 32 and larger number be x+2 = 32+2 = 34.

Answer:

1/4

Step-by-step explanation:

[tex]f(64) = \sqrt[3]{64} = 0.25 = 1/4[/tex]

Answer:

The width of the carpet is 12 inches and the length of the carpet is 120 inches.

Step-by-step explanation:

[tex]2w+2(w+108)=264[/tex]

^We can distribute first^

Distributing would result in:

[tex]2w+2w+216=264[/tex]

Then we would combine like terms, which would result in:

[tex]4w + 216 = 264[/tex]

Then we solve the equation.

[tex]4w + 216 = 264 \\ \: \: \: \: \: \: \: \: \: \frac{ - 216 = - 216}{4w = 48} \\ \\ \frac{4w}{4} = \frac{48}{4} \\ w = 12[/tex]

Since the width of the carpet is 12 (as we figured out). The statement said that "The length of the carpet is 108 inches more than the width."

So now we add 108 to 12 to figure out the length.

[tex]108 + 12 = 120[/tex]

The length of the carpet is 120 inches.

Answer:

a. the motion is positive in the time intervals: [tex][0,2)U(6,\infty)[/tex]

   The motion is negative in the time interval: (2,6)

b. S=7 m

c. distance=71m

Step-by-step explanation:

a. In order to solve part a. of this problem, we must start by determining when the velocity will be positive and when it will be negative. We can do so by setting the velocity equation equal to zero and then testing it for the possible intervals:

[tex]3t^{2}-24t+36=0[/tex]

so let's solve this for t:

[tex]3(t^{2}-8t+12)=0[/tex]

[tex]t^{2}+8t+12=0[/tex]

and now we factor it again:

(t-6)(t-2)=0

so we get the following answers:

t=6  and t=2

so now we can build our possible intervals:

[tex][0,2)  (2,6)  (6,\infty)[/tex]

and now we test each of the intervals on the given velocity equation, we do this by finding test values we can use to see how the velocity behaves in the whole interval:

[0,2) test value t=1

so:

[tex]v(1)=3(1)^{2}-24(1)+36[/tex]

v(1)=15 m/s

we got a positive value so the object moves in the positive direction.

(2,6) test value t=3

so:

[tex]v(1)=3(3)^{2}-24(3)+36[/tex]

v(3)=-9 m/s

we got a negative value so the object moves in the negative direction.

[tex](6,\infty)[/tex] test value t=7

so:

[tex]v(1)=3(7)^{2}-24(7)+36[/tex]

v(1)=15 m/s

we got a positive value so the object moves in the positive direction.

the motion is positive in the time intervals: [tex][0,2)U(6,\infty)[/tex]

   The motion is negative in the time interval: (2,6)

b) in order to solve part b, we need to take the integral of the velocity function in the given interval, so we get:

[tex]s(t)=\int\limits^7_0 {(3t^{2}-24t+36)} \, dt[/tex]

so we get:

[tex]s(t)=[\frac{3t^{3}}{3}-\frac{24t^{2}}{2}+36]^{7}_{0}[/tex]

which simplifies to:

[tex]s(t)=[t^{3}-12t^{2}+36t]^{7}_{0}[/tex]

so now we evaluate the integral:

[tex]s=7^{3}-12(7)^{2}+36(7)-(0^{3}-12(0)^{2}+36(0))[/tex]

s=7 m

for part c, we need to evaluate the integral for each of the given intervals and add their magnitudes:

[0,2)

s(t)=\int\limits^2_0 {(3t^{2}-24t+36)} \, dt

so we get:

[tex]s(t)=[\frac{3t^{3}}{3}-\frac{24t^{2}}{2}+36]^{2}_{0}[/tex]

which simplifies to:

[tex]s(t)=[t^{3}-12t^{2}+36t]^{2}_{0}[/tex]

so now we evaluate the integral:

[tex]s=2^{3}-12(2)^{2}+36(2)-(0^{3}-12(0)^{2}+36(0))[/tex]

s=32 m

(2,6)

s(t)=\int\limits^6_2 {(3t^{2}-24t+36)} \, dt

so we get:

[tex]s(t)=[\frac{3t^{3}}{3}-\frac{24t^{2}}{2}+36]^{6}_{2}[/tex]

which simplifies to:

[tex]s(t)=[t^{3}-12t^{2}+36t]^{6}_{2}[/tex]

so now we evaluate the integral:

[tex]s=6^{3}-12(6)^{2}+36(6)-(2^{3}-12(2)^{2}+36(2))[/tex]

s=-32 m

(6,7)

s(t)=\int\limits^7_6 {(3t^{2}-24t+36)} \, dt

so we get:

[tex]s(t)=[\frac{3t^{3}}{3}-\frac{24t^{2}}{2}+36]^{7}_{6}[/tex]

which simplifies to:

[tex]s(t)=[t^{3}-12t^{2}+36t]^{7}_{6}[/tex]

so now we evaluate the integral:

[tex]s=7^{3}-12(7)^{2}+36(7)-(6^{3}-12(6)^{2}+36(6))[/tex]

s=7 m

and we now add all the magnitudes:

Distance=32+32+7=71m

Answer:

(2x + 1)(x + 2)

Step-by-step explanation:

use the sum-product pattern

common factor from the two pairs

rewrite the factor3r form

Answer:

times 3

Step-by-step explanation:

workouttime³

Answer:

I think its 3w pls correct me if im wrong

Answer to Question 1:

A way you can prove that the slope (m) = -2 is to write the equation:

3x + 2y + 7 = 5x + 3y + 10 in Slope-intercept form (y=mx+b). So all you need to do is solve for y. You will see that it will be y = -2x - 3. Step-by-step on how to solve it is in the image below. The coefficient of x is the slope (m), which is -2. So, it is proved that the slope is -2.

Question 2: Sorry, I don’t know how to solve for Question 2. But hopfully my answer to Question 1 helps you out :)

Answer:

it satisfies b .........

Answer:

48 plots

Step-by-step explanation:

24 divided by .5 equal 48

Answer:

40

Step-by-step explanation:

***If you found this answer helpful please press the heart button rate me a 5 star and mark me brainliest, thanks have a good day!***

Answer:

3.25 pounds.

Step-by-step explanation:

For every pound of pet food Ben would have to pay $(23.49/9) = $2.61.

Hence, with $8.5, Ben would be able to buy (8.5/2.61) pounds = 3.25 pounds of pet food.

Hope this helped!

Answer:

20pq unit²

Step-by-step explanation:

area= length×breadth

area= 4pq×5pq= 20pq unit ²

hope it helps!

Answer:

length*breadthe understand

Answer:

0.01596

Step-by-step explanation:

A scientist claims that 8% of the viruses are airborne

Given that:

The population proportion p = 8%

The sample size = 477

We can calculate the standard deviation of the population proportion by using the formula:

[tex]\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]\sigma_p = \sqrt{\dfrac{0.8(1-0.8)}{477}}[/tex]

[tex]\sigma_p = \sqrt{\dfrac{0.0736}{477}}[/tex]

[tex]\sigma_p = 0.02098[/tex]

The required probability can be calculated as:

[tex]P(| \hat p - p| > 0.03) = P(\hat p - p< -0.03 \ or \ \hat p - p > 0.03)[/tex]

[tex]= P \bigg ( \dfrac{\hat p -p }{\sqrt{\dfrac{p(1-p)}{n}}} < -\dfrac{0.03}{0.0124} \bigg ) + P \bigg ( \dfrac{\hat p -p }{\sqrt{\dfrac{p(1-p)}{n}}} >\dfrac{0.03}{0.0124} \bigg )[/tex]

= P(Z < -2.41) + P(Z > 2.41)

= P(Z < -2.41) + P(Z < -2.41)

= 2P( Z< - 2.41)

From the  Z-tables;

[tex]P(| \hat p - p| > 0.03)[/tex] = 2 ( 0.00798

[tex]P(| \hat p - p| > 0.03)[/tex] = 0.01596

Thus, the required probability = 0.01596

Answer:

x = 3

Step-by-step explanation:

use substitution method and plug in (9-2x) in place of y in the first equation

3(9-2x) - 2x = 3

27 - 6x - 2x = 3

-8x + 27 = 3

-8x = -24

x = 3

Answer:

The ratios are equal if they are equal when written as fractions. ... A ratio of 1:7 is not the same as a ratio of 7:1.

Step-by-step explanation:

Answer:

[tex]x = 1.5[/tex]

[tex]y =1[/tex]

Step-by-step explanation:

Given

[tex]4x + 2y = 8[/tex]

[tex]6x - 4y = 5[/tex]

Required

Solve for x and y

[tex]4x + 2y = 8[/tex] --- (1)

[tex]6x - 4y = 5[/tex] --- (2)

Divide equation (1) through by 2

[tex]\frac{1}{2}(4x + 2y) = 8*\frac{1}{2}[/tex]

[tex]2x + y = 4[/tex]

Make y the subject

[tex]y = 4 - 2x[/tex]

Substitute 4 - 2x for y in equation (2)

[tex]6x - 4y = 5[/tex]

[tex]6x - 4(4- 2x) = 5[/tex]

Open bracket

[tex]6x - 16+ 8x = 5[/tex]

Collect Like Terms

[tex]6x + 8x = 5+16[/tex]

[tex]14x = 21[/tex]

Solve for x

[tex]x = \frac{21}{14}[/tex]

[tex]x = 1.5[/tex]

Substitute 1.5 for x in [tex]y = 4 - 2x[/tex]

[tex]y = 4 - 2(1.5)[/tex]

[tex]y = 4 - 3[/tex]

[tex]y =1[/tex]

To check the solution:

Substitute the values of x and y i the equations

[tex]4x + 2y = 8[/tex]

[tex]4 * 1.5 + 2 * 1 = 8[/tex]

[tex]8 = 8[/tex]

[tex]6x - 4y = 5[/tex]

[tex]6 * 1.5 - 4 * 1 = 5[/tex]

[tex]5 = 5[/tex]

Hence, the solution is true

Answer:

30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

6² + x - x²

x = 3

Step 2: Evaluate

Answer:

[tex]30[/tex]

Step-by-step explanation:

If x = 3

[tex]6^2+x-x^2[/tex]

[tex]6^2+3-(3)^2[/tex]

[tex]=36+3-9[/tex]

[tex]=30[/tex]

Answer:

You find the best option is to take the highway to work. That route is

calculated for driving at an average speed of 65 miles per hour. You would like to keep your morning commute down to less than 30

minutes. What is the farthest distance you can travel to work within the allowable time?

Step-by-step explanation:

Answer:

I would simply pick the one that seems more intresting or gets me more money.

Step-by-step explanation:

Answer:

Derek would have to buy 3 packs of 8 hotdogs and 2  packs of 12 hotdog buns.

Step-by-step explanation:

This is because 8 times 3 is 24 and 12 times 2 is 24.

8 and 12 both have a common multiple, which is 24.

So if he buys 3 packs of hotdogs, which come in packs of 8, he'll get 24.

And if he buys 2 packs of buns, which come in packs of 12, he'll get 24.

#teamtrees #WAP (Water And Plant)

Answer:

3 packs of hotdogs and 2 packs of buns

Step-by-step explanation:

Let [tex]h =[/tex] number of hotdogs, and [tex]b =[/tex] number of buns

8[tex]h[/tex] = 12[tex]b[/tex]

LCM of 8 and 12 is 24

8[tex]h[/tex] = 24

[tex]h[/tex] = 3

12[tex]b[/tex] = 24

[tex]b[/tex] = 2

[tex]\therefore[/tex] Derek needs to buy 3 packs of hotdogs and 2 packs of buns to have the same number of each.

Hope this helps :)

Answer:

$5990

Step-by-step explanation:

after saving up for 18 months she would have 12000 (10,200+1,800)

Answer: true

Step-by-step explanation: sorry this is late

The inequality -5≥-7 is a true statement. Therefore, option A is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

A) -5≥-7

This inequality is true.

B) -5≤-7

This inequality is not true.

C) -5<-7

This inequality is not true.

D) -5=-7

This inequality is not true.

Therefore, option A is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ2

Answer:

The answer is "0.338"

Step-by-step explanation:

We have 133-57+1 = 77 balls to pocket, essentially.  See the number of words around 57 and 133 and separable by 3 (132):

[tex]a_o = 57\\d = 3\\A_n = 132\\\to 132 = 57 + (n-1) \times 3\\\\\to 132= 57+3n-3\\\\\to 135-57 =3n\\\\\to 3n=78\\\\\to n=\frac{78}{3}\\\\\to n= 26[/tex]

Therefore, the number for a number around 57 and 133 divisible by 3 = 26  

The probability required[tex]=\frac{26}{77} = 0.337[/tex]

Using the hypergeometric distribution, it is found that there is a 0.0128 = 1.28% probability that if you randomly select five of the balls from the bag all of the numbers on the selected balls will be divisible by 3 or by 7.

The balls are chosen without replacement, hence, the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Multiples in the interval:

Hence, [tex]k = 26 + 11 - 4 = 33[/tex]

As for the other parameters:

The probability is P(X = 5), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 5) = h(5,76,5,33) = \frac{C_{33,5}C_{43,0}}{C_{76,5}} = 0.0128[/tex]

0.0128 = 1.28% probability that if you randomly select five of the balls from the bag all of the numbers on the selected balls will be divisible by 3 or by 7.

A similar problem is given at https://brainly.com/question/24826394

A is the answer to this question.