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2 years ago

5

Your friend wants to sell painted rocks. He spends $10.00 on startup costs, and each painted rock costs him $0.75 to make. A sto

re offers to pay your friend's startup costs and buy his painted rocks for $0.75 each. How many painted rocks does your friend need to sell to make a profit?
1 rock

10 rocks

14 rocks

Your friend will never make a profit.

1 answer:

igomit [66]2 years ago

3 0

Answer:

10 rocks

Step-by-step explanation:

The cost on startup is $10 and each painted rock cost around $0.75 to make. A store pays startup cost and buy painted rocks for $0.75 each there no profit because the cost price and selling price is the same.

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Factored form of 2x^2+x-3 must show work

frozen [14]

Answer:

(2x+3)(x - 1)

Step-by-step explanation:

Since there is no common number to factor by we must approach this problem differently:

Step 1:

Multiply leading coefficient (2) by the constant term (-3)

2 x -3 = -6

Step two:

Find two numbers that multiply to -6 but add to the middle coefficient (1).

You should find these numbers to be 3 and -2

Step 3:

Replace 1x in the equation with your found numbers

2x^2 - 2x + 3x - 3

Step 4:

Take out the greatest common factor from the first two numbers, and the last two numbers.

For 2x^2 - 2x the greatest common factor would be 2x

For 3x - 3 the greatest common factor would be 3.

Step 5:

Factor out the found common factors

2x(x-1) + 3(x-1)

The values inside the bracket should be the same.

Step 6:

Factor out (x-1)

(x - 1)(2x + 3)

Therefore the factored form is (2x + 3)(x - 1)

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3 years ago

Help and try to explain please, and thank you.

Rina8888 [55]

that is 56% of the athletes that were suspended

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3 years ago

Colton and Gage were building a castle together. Colton was 5 times as fast at building the castle than Gage. If it takes 120 bl

ira [324]

Answer:

100 blocks.

Step-by-step explanation:

Let x represent number of blocks built by Gage.

We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be $5x$ .

We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.

$x+5x=120$

$6x=120$

$\frac{6x}{6}=\frac{120}{6}$

$x=20$

Number of blocks built by Colton: $5x=5\cdot 20=100$ .

Therefore, Colton had build 100 blocks.

5 0

3 years ago

Given that cos theta = -12/13 and theta is in the second quadrant, find this function. sin theta=

elena-14-01-66 [18.8K]

5/13

The x value is negative (second quadrant). 13 is the hypotenuse. So the missing side is 13^2 = (-12)^2 + y^2.

Sin theta is the opposite (5) over hypotenuse (13).

3 0

3 years ago

The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distri

Natali5045456 [20]

Complete Question

The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population from the bottom 80% is called the 80th percentile)

Answer:

a

$P(480 < X < 590) = 0.3952$

b

$x = 664.5$

c

$x_1 = 474.67$

The value is called the $40^{th}$ percentile

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 500$

The standard deviation is $\sigma = 100$

Generally the percentage of the score that are between 480 and 590 is mathematically represented as

$P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < \frac{ X - \mu }{ \sigma } < \frac{ 590 - 500}{ 100} )$

Here $\frac{ X -\mu}{\sigma } = Z$

=> $P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < Z < \frac{ 590 - 500}{ 100} )$

=> $P(480 < X < 590) = P(-0.2< Z < 0.9 )$

=> $P(480 < X < 590) = P(Z < 0.9 ) - P(Z$

From the z table (reference calculator dot net )

$P(Z < 0.9 )= 0.81594$

And

$P(Z < -0.2 )= 0.42074$

=> $P(480 < X < 590) = 0.81594 - 0.42074$

=> $P(480 < X < 590) = 0.3952$

Converting to percent

$P(480 < X < 590) = 0.3952 * 100$

$P(480 < X < 590) = 39.52\%$

The percentage invited to join the club is the top 5% , this can be mathematically represented as

$P(X > x ) = 0.05$

Here x is the score that is within the top 5%

=> $P(X > x) = P( \frac{X - \mu }{\sigma } > \frac{ x - 500}{100} )= 0.05$

Generally the critical value of 0.05 from the normal distribution table is

$Z_{0.05} = 1.645$

So

$\frac{ x - 500}{100} = 1.645$

=> $x - 500 = 164.5$

=> $x = 664.5$

Generally the probability of having a score that separates the top 60% of the population from the bottom 40%

$P(X > x_1 ) = 0.60$

=> $P(X > x_1) = P(\frac{ X - \mu }{\sigma } > \frac{x - 500}{100} ) = 0.60$

The critical value of 0.60 from the normal distribution table is

$Z_{0.60} = - 0. 2533$

So

$\frac{x_1 - 500}{100} = -0.2533$

=> $x_1 = 474.67$

From the hint given we can see that this value is called the $40^{th}$ percentile

6 0

4 years ago