How do i solve this problem

The time required for a skilled worker to produce x shirts is given by the function T(x) = 4x + 2, where T is measured in hours.

solong [7]

Answer:

A. $1,110

B. 50 units.

Step-by-step explanation:

A. Substitute $x=18$ into the function $T(x)=4x+2$ for calculate the time in hours required for the worker to produce 18 units:

$T(18)=4(18)+2=74$

Now you need to substitute $T=74$ into the function $S(T)=15T$ to calculate the amount in dollars she will be paid for 74 hours:

$S(74)=15(74)=1,110$

She will be paid $1,110.

B. To calculate the number of units that the worker needs to produce to be paid $3,030 , you need to substitute $S(T)=3,030$ into the function $S(T)=15T$ and solve for T (to find the number of hours she requires to work to be paid $3,030)

$3,030=15T\\\\T=\frac{3,030}{15}\\\\T=202$

Now, substitute $T(x)=202$ into $T(x)=4x+2$ and solve for x, to calculate the number of units she produces in 202 hours:

$202=4x+2\\\\202-2=4x\\\\x=\frac{200}{4}\\\\x=50$

She would need to produce 50 units to be paid $3,030

5 0

3 years ago

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}$

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

$S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875$

8 0

3 years ago

How do you solve the inequality <br><br> -6+7n< - 48 or 3x - 4 less than or equal to 8

Pachacha [2.7K]

Answer:

We have 7n < 6 - 48;

7n < - 42;

n < -6;

Then, 3n - 4 ≤ 8;

3n ≤ 12;

n ≤ 4;

Step-by-step explanation:

3 0

3 years ago

n aquarium holding African cichlids is 6 inches higher than it is wide. Its length is 33 inches, and its volume is 9240 cubic in

sukhopar [10]

Answer: Height = 20 inches

Width = 14 inches

Step-by-step explanation:

The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as

Volume = LWH

Where L,W and H represents the length, width and height of the box.

The aquarium holding African cichlids is 6 inches higher than it is wide. It means that

H = W + 6

Its length is 33 inches, and its volume is 9240 cubic inches. It means that

9240 = 33W(W + 6)

9240/33 = W(W + 6)

280 = W² + 6W

W² + 6W + (6/2)² = 280 + (6/2)²

(W + 3)² = 280 + 9 = 289

Taking square root of both sides, it becomes

W + 3 = √289 = 17

W = 17 - 3

W = 14

H = W + 6 = 14 + 6

H = 20

3 0

3 years ago

Please find it <br>please help

Sedbober [7]

Answer:

29/30

Step-by-step explanation:

11/12 + 1/20

220+12/240

232/240 ........divide it by 8

29/30

6 0

2 years ago