plz help what’s the answer

Answer:

There is enough statistical evidence to suggest that the department's claim is not true

Step-by-step explanation:

The mean weekly sales μ₀ ≤ 2,400 packages

The period over which the weekly sales were measured = Over the last 6 months

The number of stores in the sample, n = 61 stores

The sample mean, [tex]\overline x[/tex] = 3,593

The sample standard deviation, s = 4919

The significance level = 7% = 0.07

The critical value approach

The null hypothesis, H₀; μ ≤ μ₀

The alternative hypothesis, Hₐ; μ > μ₀

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

We get;

[tex]t=\dfrac{3,593-2,400}{\dfrac{4,919}{\sqrt{61}}} \approx 1.894[/tex]

With df = n - 1 = 61 - 1 = 60 at 7% significant level, from a graphing calculator the critical-t,  = 1.495598

The p-value at the test statistic is between 0.01 and 0.005

Given that the p-value is less than the significant level, and the test statistic is larger than the critical-t we reject the null hypothesis, that the mean weekly aerosol sale is less than 2,400 packages.

Therefore, there is sufficient statistical evidence to suggest that the departments claim is not true and the mean sales of Aerosols have increased to more than 2,400 packages

Answer:

Step-by-step explanation:

I hope this helps you

Rectangular Prism Volume is

Height. Width. Height

(6.25).(7.5).(8)

375

Answer:

see, to find the next number, you need to add three to the last one

for example, the 3 was added to 2, so we have five here

5+3=8

8+3=11

and ....

so the next ten numbers are:

8, 11, 14, 17,20,23,26,29,32,35

I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it

Answer:

it's +3 each time

Step-by-step explanation:

the formula for the nth term of an arithmetic progression is

[tex]a _{n} = d \times n + a _{1} - d[/tex]

Answer:

x>-4

Step-by-step explanation:

|x+7| is just x+7

x+7>3

-7 on both sides

x>-4

Answer:

The answer should be C

Step-by-step explanation:

I just got done calculating it and according to my calculations it should be C

Answer:

10

Step-by-step explanation:

70-30=40

50-40=10

fsgsgsgdg

Answer:

List One: Sweet -  List Two: suite

List One: pray - List Two: prey

List One: poll - List Two: pole

List One: waste - List Two: waist

List One: Manor - List Two: manner

List One: Pier - List Two: Peer

List One: current - List Two: currant

List One: presence - List Two: presents

List One: council - List Two: counsel

List One: stationary - List Two: stationery

Step-by-step explanation:

Answer:

193.69

Step-by-step explanation:

Answer:

D - 4.6

Step-by-step explanation:

Hope it Helps!

:)

and sorry for the late answer

Answer:

However, if you're trying to find the arc length of a partial circle, it's not the same as the circumference of the same circle wholly. You need to find out the circumference of the whole circle first before you can find the arc length (or the circumference of the partial circle).

Step-by-step explanation:

Answer:

9.42 units

Step-by-step explanation:

Answer:

peals palms penal pro predictive

Answer:

4.13

Step-by-step explanation:

good luck

Answer:

10.754 billion

Step-by-step explanation:

this is a exponential growth question. the initial value is 6.114 billion, with a growth rate of 1.9%, and 30 years. after you plug the values into the exponential growth equation, you should get 10.754 billion.

Answer: the answer is C.

Answer:

7.7

Step-by-step explanation:

To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,

Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5  4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:

4²+6²=c²

24+36=c²

√60=c

c=7.74....

But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)

Answer:

[tex](1)\ [12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]

[tex](2)\ x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]

[tex](3)\ x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]

[tex](4)\ x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]

[tex](5)\ x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the boxes

Solving (1):

[tex][ \ ]x^2 [ \ ] [\ ]x - 30 = (3x + 2)(4x - 15)[/tex]

Swap the equation

[tex](3x + 2)(4x - 15) = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

Open bracket

[tex]12x^2 -45x + 8x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

Simplify the like terms

[tex]12x^2 -37x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

So, we have:

[tex][12]x^2 [-][37]x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30[/tex]

i.e.

[tex][12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)[/tex]

Solving (2):

[tex]x^2\ [\ ]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]

The above expression illustrates the difference of two squares.

So, complete the first equation with minus

[tex]x^2\ [\ -]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]

Express 169 as 13^2

[tex]x^2\ [\ -]\ 13^2 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])[/tex]

Apply difference of two squares

[tex](x + 13)(x - 13) = (x \[\ ]\ 13){x\ [\ ]\ [\ ])[/tex]

So, the complete expression is:

[tex]x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])[/tex]

Solving (3):

[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [\ ]5)(x - [\ ])[/tex]

20 can be expressed as: -5 * -4

So, the expression becomes

[tex]x^2 [\ ]\ [\ ]x + 20 = (x \ [- ]5)(x - [4 ])[/tex]

Expand

[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 - 5x - 4x + 20[/tex]

[tex]x^2 [\ ]\ [\ ]x + 20 = x^2 -9x + 20[/tex]

So, the complete expression is:

[tex]x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])[/tex]

Solving (4):

[tex]x^2 + []x + 28 = (x + 7)(x + [])[/tex]

28 can be expressed as 7 * 4

So, the expression becomes

[tex]x^2 + []x + 28 = (x + 7)(x + [4])[/tex]

Expand

[tex]x^2 + []x + 28 = x^2 + 7x + 4x + 28[/tex]

[tex]x^2 + []x + 28 = x^2 + 11x + 28[/tex]

So, the complete expression is:

[tex]x^2 + [11]x + 28 = (x + 7)(x + [4])[/tex]

Solving (5):

[tex]x^2 + []x - 24 = (x\ []\ [])(x\ []\ [])[/tex]

-24 can be expressed as -3 * 8

So, the expression becomes

[tex]x^2 + []x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]

Expand

[tex]x^2 + []x - 24 = x^2 +8x - 3x - 24[/tex]

[tex]x^2 + []x - 24 = x^2 +5x - 24[/tex]

So, the complete expression is:

[tex]x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])[/tex]

An equation is formed of two equal expressions. The complete equations are:

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

1. The first equation that is given to us is:

[tex](?x^2)\ ?\ (?x)-30 = (3x+2)(4x-15)[/tex]

Now, if we simply expand the right-hand side of the equation we will get the equation that is mentioned on the left side of the given equation, therefore,

[tex](3x+2)(4x-15)\\\\= 12x^2-45x+8x-30\\\\=12x^2-37x-30[/tex]

Thus, the complete equation will be

[tex]12x^2-37x-30 = (3x+2)(4x-15)[/tex].

2. The second equation that is given to us is,

[tex]x^2\ ?\ 169 = (x\ ?\ 13)(x\ ?\ ?)[/tex]

Now, if look closely at the equation, and substitute the '-' in the place of '?' the equation we will be in the form of an algebraic equation, therefore, the solution of the equation can be made using the algebraic expression,

[tex]a^2-b^2 = (a+b)(a-b)\\\\(x^2-13^2) = (x+13)(x-13)\\\\\(x^2-169) = (x+13)(x-13)[/tex]

Thus, the complete equation will be

[tex](x^2-169) = (x+13)(x-13)[/tex].

3. The third equation that is given to us is,

[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)[/tex]

As we can see in the equation, on the left side of the equation the last digit is +20, therefore, the digits on the right side of the equation should be such that their product should be +20, as 5 is already given therefore, the other term should be 4 also, the second term is positive but we need the product to be positive, therefore, the sign of the digit 5 will also be negative.

[tex]x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)\\\\x^2\ ?\ (?x)+20 = (x- 5)(x-4)[/tex]

Now, if we solve the right side of the equation we will get the left side of the equation,

[tex](x- 5)(x-4)\\\\= x^2 - 4x-5x +20\\\\=x^2-9x+20[/tex]

Thus, the complete equation is

[tex]x^2-9x+20=(x-5)(x-4)[/tex].

4. The fourth equation that is given to us is

[tex]x^2 + ?x + 28 = (x+7)(x+?)[/tex]

As we can see in the equation, on the left side of the equation the last digit is +28, therefore, the digits on the right side of the equation should be such that their product should be +28, as 7 is already given therefore, the other term should be 4. Also, 28 is a positive integer, and 7 is also a positive integer, therefore, the number in the last will be positive as well.

[tex]x^2 + ?x + 28 = (x+7)(x+4)[/tex]

Now, if we solve the right side of the equation we will get the left side of the equation,

[tex](x+7)(x+4)\\\\= x^2 + 4x+ 7x + 28\\\\= x^2 + 11x+28[/tex]

Thus, the complete equation is

[tex]x^2 + 11x + 28 = (x+7)(x+4)[/tex]

5. The fifth equation that is given to us is

[tex]x^2 + ?x -24=(x\ ?\ ?)(x\ ?\ ?)[/tex]

As we can see in the equation, on the left side of the equation the last digit is -24, therefore, the digits on the right side of the equation should be such that their product should be -24, Since the product is negative, therefore, either one of the digits on the right should be negative as well, but the middle term on the right is positive, therefore, the bigger number will be positive while the smaller ones will be negative.

[tex]x^2 + ?x -24=(x+8)(x-3)[/tex]

Now, solving the right side of the equation to get the complete left side of the equation we will get,

[tex](x+8)(x-3)\\\\=x^2 -3x + 8x -24\\\\=x^2 + 5x - 24[/tex]

Thus, the complete equation is

[tex]x^2 + 5x - 24=(x+8)(x-3)[/tex]

Learn more about Equation:

https://brainly.com/question/2263981

Answer:

The answer is D. 8/17

Step-by-step explanation:

We know, sin= opposite/hypotenuse

So as Θ is referring to Angle L

∴ sin Θ = 8/17

Answer:

(-3,-5)

Step-by-step explanation:

Quadrant III is on the bottom left corner.

Answer:

25%

Step-by-step explanation:

so out of 32 marbles, 8 of them are red. This means the rest are blue which is 24 blue. To make a percentage, all you do is make a fraction. out of 32, 8 were red so 8/32. Fractions are basically division so 8/32 is 0.25. This means 25%.

Answer:

c (-2,1)

Step-by-step explanation:

use y= and substitute into 2nd equation which will give you x. Then take x value and substitute into first equation which will give you y value and theres your answer    

Answer:

10

Step-by-step explanation:

Let c = sum of ages of all children.

mean age of all children = c/15 = 7

c = 15 * 7 = 105

The sum of the ages of all children is 105.

Let b = sum of ages of the 9 boys.

mean age of boys = b/9 = 5

b = 9 * 5 = 45

The sum of the ages of the boys is 45.

The sum of the ages of the girls is c - b.

c - b = 105 - 45 = 60

The number of girls is 15 - 9 = 6

mean age of girls = (sum of ages of the girls)/(number of girls) =

= 60/6 = 10

Answer:

x=4000

Step-by-step explanation:

Answer:

4,000 = x

Step-by-step explanation:

40,000 = 10x

=> Divide 10 to each side of "="

40,000/10 = x

4,000 = x

Hope this helps!

Answer:

1/2

Step-by-step explanation:

Parallel lines always have the same slope

Answer:

A

Step-by-step explanation:

So lets look at the points on the graph.

Actually, lets just look at a and b(We only need 1 of these points, but it doesnt hurt to do a little extra to udnerstand it better)

If we count the coordinates for A, we get:

(-2, 3)

Remember, we need to use a scale factor of 2 for this.

So we need to multiply by 2.

This now gets us:

(-4. 6)

This looks like answer A, which has:  (-4, 6) for A coordinates.

Now, lets check this with B coordinates:

(1, 3)

Multiply by 2:

(2, 6)

For answer A, is this the B coordinates?

Yup, answer A has B coordinates (2, 6)

So the answer is A!

Hope this helps! :)

Answer:

x = 50

Step-by-step explanation:

3x - 10 and 2(x + 10) are vertical angles and congruent , so

3x - 30 = 2(x + 10)

3x - 30 = 2x + 20 (  subtract 2x from both sides )

x - 30 = 20 ( add 30 to both sides )

x = 50

Answer:

13sqrt(2)

Step-by-step explanation:

Using pythagoras theorem