Find the constant of variation if an employee earns $175 for 15 hours work.

Bob's Skate Shop had a profit of $3,563 during the month of August. The company models its profit using where x is the number of

CaHeK987 [17]

Answer:

The number of skateboard company sell during the month of August = 55

Step-by-step explanation:

We have given,

Profit function for Bob, P = x²+ 10x - 12

Bob's profit during August month is $3,563

That means, P = $3,563

We can use the profit formula given for Bob's profit:

P = x² + 10x - 12

Plug P =$3,563 in above formula.

i.e 3,563 = x² + 10x - 12

or 0 = x² + 10x -12 - 3,563

or 0 = x² + 10x - 3575

or x = 55, -65

Since number of skate boards can not be negative.

So we consider x= 55

Hence the number of skateboard company sell during the month of August = 55.

6 0

2 years ago

Alberto has 2 cats the smaller cat weighs 10 3/4 pounds the larger cat weighs 15 1/3 pounds how much do the cats weigh altogethe

ElenaW [278]

Answer:

A. 26 1/2

Step-by-step explanation:

change denominator so they can be the same

3/4*3 = 9/12

1/3*4 = 4/12

Add the whole numbers : 10 +15=25

9/12+4/12= 13/12 so 1 1/12

26 1/12

4 0

3 years ago

Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in

amm1812

Answer:

Kindly check explanation

Step-by-step explanation:

The data table :

Use of SM _UK _China _ Russia _US _ col total

Yes ______480 __215 ___343 __640 _ 1678

No _______320 _ 285 ___357__ 360 _ 1322

Row Total__ 800 _500 __ 700_ 1000_ 3000

H0 : p1 = p2 = p3 = p4

H1 : p1 ≠ p2 ≠ p3 ≠ p4

Test statistic :

χ² = Σ(observed - Expected)² / Expected

Expected value of each cell = (Row total * column total) / N

N = grand total

Expected Values:

447.467 _279.667 _ 391.533 _ 559.333

352.533 _ 220.333 _ 308.467 _ 440.667

χ²=(2.36536+14.9527+6.01605+11.6337+3.00232 18.9793+7.63611+14.7665) = 79.352

Degree of freedom, df = (row-1)*(column-1) = (2 - 1) * (4 - 1) = 1 * 3 = 3

Using the Pvalue from Chisquare calculator :

Pvalue(79.352, 3) = 0.00000000001

Decision region :

Reject H0 ; If Pvalue < α

α = 0.05

Since 0.000000001 < 0.05 ; Reject H0 and conclude that not all population proportion are equal.

Sample proportion :

Phat = number of yes, x / total

For UK, Phat = 480/800 = 0.6

For China , Phat = 215/500 = 0.43

For Russia , Phat = 343/700 = 0.49

For US, Phat = 640/1000 = 0.64

7 0

3 years ago

The length and

Iteru [2.4K]

Answer:

42 yards

Step-by-step explanation

There are 4 sides to a rectangle. 2 lengths, and 2 widths. That means that you multiply both values by 2 and then add them together, so 40 + 2. A more basic way to think of it is 20+20+1+1. Therefore, the perimeter is 41 yards.

7 0

2 years ago

Law of radicals

andrey2020 [161]

Answer:

1) $\sqrt{x^7}=x^{\frac{7}{2}$

2) $\sqrt[3]{y^5}=y^{\frac{5}{3}$

3) $\sqrt[5]{a^{12}}=a^{\frac{12}{5} }$

4) $\sqrt[4]{z^{9}}=z^\frac{9}{4}$

Step-by-step explanation:

1) $\sqrt{x^7}$

We know that $\sqrt{x}=x^{\frac{1}{2}$

So, $\sqrt{x^7}=x^{\frac{7}{2}$

2) $\sqrt[3]{y^5}$

We know that $\sqrt[3]{x}=x^{\frac{1}{3}$

So, $\sqrt[3]{y^5}=y^{\frac{5}{3}$

3) $\sqrt[5]{a^{12}}$

We know that $\sqrt[5]{x}=x^{\frac{1}{5}$

So, $\sqrt[5]{a^{12}}=a^{\frac{12}{5} }$

4) $\sqrt[4]{z^{9}}$

We know that $\sqrt[4]{x}=x^{\frac{1}{4}$

So, $\sqrt[4]{z^{9}}=z^\frac{9}{4}$

6 0

3 years ago