Question 1 a
A marketing executive is investigating whether this year's advertising campaign has resulted in greater mean sales compared with last year's mean sales. The executive collects a random sample of 100
customer orders from a large population of orders and calculates the sample mean and sample standard deviation
Which of the following is the appropriate test for the executive's investigation?

Answer:

182.25 J

Step-by-step explanation:

KE = (0.5)*m*v^2

KE = (0.5)*(0.18 kg)*(45 m/s)^2

KE = 182.25 Joules

Hope this helps!

Final answer:

The kinetic energy of a 0.18 kg ball moving at 45 m/s is calculated using the formula KE = (1/2)mv² and is found to be 182.25 joules.

Explanation:

The kinetic energy (KE) of an object is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. For a ball with a mass of 0.18 kg moving at a velocity of 45 m/s, we can find its kinetic energy by substituting these values into the formula.

KE = (1/2) imes 0.18 kg  imes (45 m/s)²

= 0.09 kg imes 2025 (m/s)²

= 182.25 joules

Therefore, the kinetic energy of the ball is 182.25 joules.

Answer: 41 cents

Step-by-step explanation:

$24.6/60inches=.41 cents

5*12=60in

8^(x+2)÷2^(x+2)=4⁶

4^(x+2)=4⁶

x+2=6

x=4

Answer:

x=4

Step-by-step explanation:

8^(x+2)÷2^(x+2)=4⁶

4^(x+2)=4⁶

x+2=6

x=4

Answer:

C $320

Step-by-step explanation:

write equations for the two possible choices

situation 1:

y₁ = 20 + 0.5x, where y is the total price the club pays and x is the sales

** note i use 0.5 instead of 50, since 50 would represent 5000%

y₂ = 100 + 0.25x, where y is the total price the club pays and x is the sales

now set the two equations equal to each other

20 + 0.5x = 100 + 0.25x

isolate x by subtracting 0.25x and 20 from each side

20 + 0.5x - 0.25x - 20 = 100 + 0.25x -0.25x -20

0.25x = 80

divide both sides by 0.25

[tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{80}{0.25}[/tex]

x = 320

Answer:

a) Positive linear

b) 72

c) Marks scored when no time is spend on homework.

Step-by-step explanation:

a) relationship between the hours spent on homework and the test scores

As the time spent on homework increases the test score increases.

Similarly if less time is spent on homework, there would be a decrease in test score.

The two variables are directly related.

Thus, there relationship can be expressed as a positive linear relationship.

b) The model function

[tex]y= 8x + 40[/tex]

where y is the test score and x is the time spent on homework in hours.

Score predicted by model when x = 4

[tex]y(4)= 8(4) + 40 = 32 +40 = 72[/tex]

Thus, model predict that the score on test will be 72 when 4 hours are spent on homework.

c) Interpretation of 40

When x = 0

[tex]y(0)= 8(0) + 40 = 40[/tex]

Interpretation:

Thus, when Paul spends no time on homework that is zero hours are spend on homework, then, Paul will score 40 on test.

Answer:

(-4,1)

Step-by-step explanation:

The given parabola is

[tex]y = - \frac{1}{4} {x}^{2} - 2x - 2[/tex]

When we rewrite in vertex form, we get;

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

Or

[tex]{(x + 4)}^{2} = - 4( y - 2)[/tex]

When we compare to:

[tex]{(x - h)}^{2} = 4p( y - k)[/tex]

We have 4p=-4

This means p=-1

But the vertex is at:

(-4,2)

Since it is a vertical parabola that opens down, the focus is one unit(|p|=1) below the vertex.

Hence the focus is (-4,1)

Answer:

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Step-by-step explanation:

There is a fact in any triangle:

The length of any side of a triangle must be greater than the difference of the lengths of the other two sides and smaller than the sum of the lengths of the other two sides

If the lengths of the three sides of a triangle are a , b and c, then

In Δ ABC:

→ (BC) - (AC) < AB < (BC) + (AC)

→ (AB) - (AC) < BC < (AB) + (AC)

→ (AB) - (BC) < AC < (AB) + (BC)

∵ AB = 14 units

∵ BC = 9 units

- Find the sum and difference of them

∵ AB - BC = 14 - 9

∴ AB - BC = 5

∵ AB + BC = 14 + 9

∴ AB + BC = 23

- That means the length of AC could be any integer greater

    than 5 and smaller than 23

∴ 5 < AC < 23

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Answer:

Answer = 13

Step-by-step explanation:

Answer:

475+150=Price before sale

Step-by-step explanation:

Answer:

$475+$150 =$525. 525 is the total price before the sale

Answer:

7. is G

8. f(4)=-120

Step-by-step explanation:

7. les do f(0)=4 since its the easiest

F. f(0)=0.4(0+5)(0-2)

    0.4*-2*5=-4                NOT IT. the ans. is +

G. f(0)=-0.4(0+5)(0-2)

    -0.4*-2*5=4               YESSSSSS

H. f(0)=-0.4(0-5)(0+2)

     -0.4*2*-5=4              YESSSSSS

J. f(0)=0.4(0-5)(0+2)

     0.4*2*-5=-4              NOT ITTTT

so G n H

 Put both equation=0

G. 0=-0.4(x+5)(x-2)

    x=-5,2     YASSSS this is the ans.

Answer:

[tex]x^{\frac{5}{3} }[/tex]

Step-by-step explanation:

You'd multiply the exponents, making the answer = [tex]x^{\frac{2}{3}*\frac{5}{2} }[/tex] = [tex]x^{5/3}[/tex]

Answer: Frank could travel about 4 miles

Step-by-step explanation:

Hey There!

The answer you are looking for is;

12 Miles!

Explanation:

First you subtract $4.50 from $20.

= $15.50

Then every mile after that is subtracting $1.25

We can divide $15.50 by $1.25

= 12.4

Since the question is asking how many COMPLETE miles Frank could travel, you do not include the decimal.

= 12 miles.

Hope I helped! Please rate 5 Stars & Mark Brainliest!

Answer:

9.45cm^2

Step-by-step explanation:

1.5*1.5=2.25

A=BH/2

2.4*1.5/2=1.8

1.8*4=7.2

7.2+2.25=9.45

Answer:

Step-by-step explanation:

2.4 x 1.5/2 to get the area of the triangle

so i would start with 2.4 x 1.5 which is 3.6 and do 3.6/2 which is 1.8 and do

1.8 x 4= 7.2

and the middle part is 1.5 x 1.5 which is 2.25

and do 7.2 plus 2.25 which is 9.45cm

Answer:

$0.21

Step-by-step explanation:

2.52/12

Answer: V=-6.9325 or V=-6.93

Step-by-step explanation:

0.8(7.97+v)=0.833

6.376+0.8v=0.833

-6.379          -6.379

0.8v=-5.546

divide both sides by 0.8 to get v by itself

v=-6.9325

rounded up can get you

v= -6.93

please give brainliest!

two hundred fourteen and thirteen thousandths

Answer: two hundred fourteen and thirteen thousandths

Step-by-step explanation: If you wanted to do this with 214.013, I start with the whole number, which in this case is 214. To write 214 in words, that would be two hundred fourteen. Now, if you add the decimal, you know the first decimal spot is tenths, second is hundredths, and third is thousandths. The decimal would be thirteen thousandths. To add that up, you get two hundred fourteen and thirteen thousandths.

Answer:

19,200 ft

Step-by-step explanation:

Answer:

Eva

Step-by-step explanation:

If 4 dollar = 440 yen

Therefore, 1 dollar = (440 ÷ 4) yen

1 dollar = 110 yen

As Eva is saving 52 dollars per week, and Ryu is saving 5,500 yen per week, we have to convert dollar into yen to find who has saved more.

1 dollar = 110 yen

52 dollar = (52 × 110) = 5720 yen

It means Eva is saving 52 dollar which is equivalent to 5,700 yens. It is more than Ryu's saving account.

Option C: 6 is the value of [tex]b(-10)[/tex]

Explanation:

The given expression is [tex]b(x)=|x+4|[/tex]

We need to determine the value of [tex]b(-10)[/tex]

To find the value of [tex]b(-10)[/tex], let us substitute [tex]x=-10[/tex] in the given expression.

Thus, substituting [tex]x=-10[/tex] in the expression, we have,

[tex]b(-10)=|-10+4|[/tex]

Adding the terms, we get,

[tex]b(-10)=|-6|[/tex]

Since, we know the absolute rule that [tex]|-a|=a[/tex] and the simplified expression is of the form [tex]|-a|[/tex] , let us apply the absolute rule in the simplified expression.

Thus, we have,

[tex]b(-10)=6[/tex]

Thus, the value of [tex]b(-10)[/tex] is 6.

Hence, Option C is the correct answer.

A set of ordered pair is called a relation.

The correct option is D). Relation.

A collection of ordered pairs having one item from each set makes up a relation between two sets.

Any collection of ordered pairs is a relation.

The domain is the collection of all initial components of ordered pairs.

The range is the collection of all second components.

Tables, collections, equations with two variables, and graphs can all be used to depict relations.

And the function is a special type of relation.

Therefore, the blank word is relation.

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Final answer:

A set of ordered pairs is called a relation. Relations include all possible mappings of pairs, while a function is a specific type of relation where each input is paired with only one output. The correct answer is option (D).

Explanation:

A set of ordered pairs is called a relation. For example, if we have two sets A and B represented by ordered pairs, the domain of set A would be the set of all the first elements, and the range of set A would be the set of all the second elements.

It's important to note that a function is a specific type of relation where each element of the domain is associated with a unique element of the range, which means that each input (or argument) is mapped to exactly one output (or value).

There is no diagram, so you should guess C. C is the most likely to be chosen as an answer.

Answer:

the answer is c

Step-by-step explanation:

I just did this

Equity at the end of the year = $130,000

Step-by-step explanation:

Step 1:

Given ,

Asset of the company at beginning of year = $300,000

Equity  of the company at beginning of year = $100,000

Increase of the assets  during the year = $80,000

Increase of the liabilities  during the year =  $50,000

We need to find the equity at the year end.

Step 2 :

The equity at any point can be obtained by using the formula

equity = assets - liability

At the beginning of the year ,

100,000 = 300,000 - liability

So liability = 300,000 - 100,000 = 200,000

Step 3 :

During the year, assets increase $80,000 and liabilities increase $50,000

So assets at the year end = 300,000 + 80,000 = $380,000

liabilities at the year end = 200,000 + 50,000 = $250,000

Therefore

Equity at the year end = 380,000 - 250,000 = $130,000

Step 4 :

Answer :

Equity at the year end = $130,000

Answer:

$404.01 dollars

Step-by-step explanation:

603*33%=198.99

600-198.99=$404.01

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Answer:

The suit costs $401.01

Step-by-step explanation:

$603.00 x .33 = $198.99

600.00 - 198.99 = 401.01

Answer:

I think the answer is A. P/7 - 3

Step-by-step explanation:

Answer:

x = -1 and x = 9.

Step-by-step explanation:

3(x – 4)^2 = 75

(x - 4)^2 = 75/3 = 25

Taking square roots of both sides:

x - 4 = +/- 5

x  = -5+4 and  5 + 4

x = -1 and 9.

Answer:

d

Step-by-step explanation:

test

The amount he should pay for 5 pounds of mushrooms is $3.6

Step-by-step explanation:

Given data is that,

Bowser bought 6 pounds of  mushrooms at a rate of $4.32

At the same rate, determining that how much he should pay for 5 pounds of mushrooms is given by the rate formula.

Rate = total cost / total number of mushrooms

Now, Rate = 4.32 / 6

Let us assume, the cost for 5 pounds as 'x' dollars.

Therefore, Rate = x / 5

To find the value of x, compare both the rates :

⇒ 4.32 / 6 = x / 5

bringing 5 to the left side of the equation,

⇒ (4.32×5) / 6 = x

⇒ x = 21.6 / 6

⇒ x = 3.6 dollars

The amount he should pay for 5 pounds of mushrooms is $3.6

Answer:

Option A, V = 3 * 5 * 4

Step-by-step explanation:

Volume of a Cube formula:  V = w*h*l

Step 1:  Plug in

V = whl

V = (5)(4)(3)

Answer:  Option A, V = 3 * 5 * 4

Answer:

I would say Graph 2 because if its showing f(x)=x2+5

there are no negatives in this equation, so I think it is graph 2

The graph of the function is attached to the solution.

The given equation is f(x) = x²+5, the power on the variable is 2, that means the equation is a quadratic equation therefore, the graph will be a parabola,

Since, there is no negative sign so, the parabola will be opened up,

Also, there are 5 units added in the equation that mean the parabola will be 5 units up from the origin.

So, the graph will be an upward opened parabola with its vertex at (0, 5)

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