A large home improvement store is considering expanding its selection of moving products, such as cardboard
boxes and packing tape. The store constructs a 90% confidence interval to estimate the proportion of all customers
who have moved houses at least once in the last five years. In the random sample of 620 customers, 201 (32.4%)
replied that they had moved at least once in the last five years. The sample yielded the 90% confidence interval
(0.293, 0.355) for the proportion of all customers who have moved in the past five years. Sheldon, an employee who
wishes to expand the selection of moving products, claims that more than 1 in 4 customers have moved in the past
five years. Zachary, another employee, urges Sheldon to be bolder in his claim and say that more than 1 in 3
customers have moved in the past five years. Based on the confidence interval, which employee's claim is
plausible?

Answer:

Open up and have a minimum

Step-by-step explanation:

If the x² coefficient is:

Positive, the graph will open up and have a minimum

Negative, the gaph will open down and have a maximum

Answer:

opens up and has a minimum

Step-by-step explanation:

Provided a is not 0, y=ax^2+bx+c will be a parabola.

The parabola will open up and have a minimum if a is positive.

The parabola will open down and have a maximum if a is negative.

Since 1/2 is positive, then your parabola opens up and has a minimum.

Answer:

[tex] \sin(X) = \frac{ \sqrt{119} }{12} \: , \: \cos(X) = \frac{5}{12} [/tex]

Answer:

Its the last choice.

Step-by-step explanation:

sin X = opposite side / hypotenuse

= √119/12.

cos X = adjacent side / hypotenuse

= 5/12.

Given:

The expanded form of [tex](x+s)(x-t)[/tex] is [tex]x^2+Kx-40[/tex].

Where, s, t, K are positive integers.

To find:

The smallest possible value of K.

Solution:

The expanded form of [tex](x+s)(x-t)[/tex] is [tex]x^2+Kx-40[/tex]. It means,

[tex](x+s)(x-t)=x^2+Kx-40[/tex]

[tex]x^2-tx+sx-st=x^2+Kx-40[/tex]

[tex]x^2+(s-t)x-st=x^2+Kx-40[/tex]

On comping both sides, we get

[tex]K=s-t[/tex]              ...(i)

K is a positive integer if s>t.

And

[tex]st=40[/tex]

The factor pairs of 40 are (1,40), (2,20), (4,10), (5,8), (8,5), (10,4), (20,2) and (40,1).

Since s>t, therefore the possible values for (s,t) are (8,5), (10,4), (20,2) and (40,1).

Using (i), find the value of K for each factor pair.

[tex]K=8-5=3[/tex]  

[tex]K=10-4=6[/tex]      

[tex]K=20-2=18[/tex]          

[tex]K=40-1=39[/tex]          

Therefore, the smallest possible value of K is 3.

Answer:

12/7

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

132 plus 48 is 180 so altogether they baked 180 cupcakes

I hope this helped! :)

Answer:

Crashed

Step-by-step explanation:

Collided means to "hit with force when moving."

Answer:

B, D, E

Step-by-step explanation:

A) anything to the zero power equals one

B) when bases are the same and being multiplied, add their exponents

C) 5² = 25

D) when parentheses separate exponents, they should be multiplied

E) when bases are the same being divided, subtract their exponents

Answer:

ok

Step-by-step explanation:

Answer:

7/12 miles

Step-by-step explanation:

3/4 and 1/6

find common denominator

9/12 and 2/12

subtract

7/12

Answer:

i think 18

Step-by-step explanation:

bc like 3 cups-1 hour

6 cups- 2 hours

...... .........

Answer:

option 1 , not correct

x + 3 > -7

x > -7 - 3

x > -10

x ={ - 9, - 8, - 7 . . .}

option 2, not correct

x - 3 ≤ -7

x ≤ -7 + 3

x ≤ -4

x = { -4, -5, -6 . . . }

option 3, not correct

x - 3 ≥ -4

x ≥ -4 + 3

x ≥ -1

x ={ -1, 0 , 1 , 2 . . .}

option 4, correct

x - 3 ≥ -7

x ≥ -7 + 3

x ≥ -4

x ={ -4, -3, -2 , -1 , 0 , 1 , 2. . . }

Answer:

I think number 17 is depends on the type of substance

18 is no.

Step-by-step explanation:

Answer:

4/3pi

Step-by-step explanation:

Length of an arc  = r theta

Given radius r = 30

length of arc  l = 40

Substitute

40 = 30theta

theta = 40/30

theta = 4/3 pi

Hence the angle marked B is 4/3pi

Answer:

Y is your answer

Step-by-step explanation:

pls brainleist

Answer:

point Y

Step-by-step explanation:

Answer:

4a+2f

2(2a+f)

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠CBD=1/2×88=44°

Answer:

translation by T (x-5 y+0)

Step-by-step explanation:

----------

Answer:

There is not a lot of change, the only change is that is moved 5 units to the right.

Step-by-step explanation:

Hope this helps! :)

Hope you a 100% on the test

Answer: 50°

Step-by-step explanation: ur smart, u don’t need one, but if u really want one just comment on it and I’ll give u one :)

Answer:

true

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given:

The a box-and-whisker plot if a data set.

To find:

The percentage of data values that are less than 66.

Solution:

From the given box-and-whisker plot, it is clear that the number 66  is the highest value of the data set.

It means all the values of the data set are less than 66 and no value can be more than 66.

All value means 100%.

Therefore, 100% of data values are less than 66.

Answer:

eastern

Step-by-step explanation:

Answer:

Eastern!

Step-by-step explanation:

s

Answer:

H = 31 degrees

Step-by-step explanation:

To find the value of the angle marked H, we will use he circle angle theorem

We have it that;

H = (88-26)/2

H = 62/2

H = 31 degrees

Step-by-step explanation:

From Trig

1 + tan²x = Sec²x

Also

Sec²x = 1/cos²x

Now

Cot²x = 1/tan²x = cos²x/sin²x

Putting all together

Cot²x(1+tan²x)

= Cot²x(sec²x)

= cos²x/sin²x(1/cos²x)

cos²x on the numerator and that one the denominator cancels out

we have

= 1/sin²x

From Trig

1/sin²x = cosec²x

So Our Answer = cosec²x.

Answer:

The answer is line D

Step-by-step explanation:

Answer:

root 24+12 is root 36 which is equal to 6

4 root of 6 is 36 the power of 2 which is equal to 36

5 the power of 2 is 25

then when we multiple 6x36x25

it's 5400

Answer:

Answer = 1080

Step-by-step explanation:

Hey there!

Here's the initial equation:

[tex]\sqrt{24+12} * \sqrt{6^4 * 5^2}[/tex]

What I'll do now is sum what's in the left root.

[tex]\sqrt{36} * \sqrt{6^4 * 5^2}[/tex]

Since [tex]\sqrt{36}[/tex] = 6, we get this equation:

[tex]6 * \sqrt{6^4 * 5^2}[/tex]

Now: You can see that the five is elevated to the second. Since it is a square root, you can just pop it out:

6 * [tex]5\sqrt{6^4}[/tex]

6 * 5 = 30, so here's what you got:

[tex]30\sqrt{6^4}[/tex]

At this point you should see that:

[tex]6^4[/tex] = 6 * 6 * 6 * 6

6 * 6 * 6 * 6 = 36 * 6 * 6

36 * 6 * 6 = 36 * 36

36 * 36 = 36²

Now you have this:

[tex]30\sqrt[2]{36^2}[/tex]

Since it is a square root and a square number, you can do just as with the five: Pop it out! (When you take numbers out of the root they multiply, they do not add. Never forget that ;).

30 * 36 = 1080

Answer = 1080

Answer: Because a decimal times a decimal is always going to be smaller than the original decimal.

Step-by-step explanation:

Answer:

B:

$17.99

Step-by-step explanation:

Add the total amount spent: $0.79 (apple)+ $1.78 (granola bar)=$2.57

Subtract from the money Jayden has: $20.56-$2.57=$17.99

Hope This Helps!!