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3 years ago

What is the product of (2x2 + 5x - 3) and (3x +7)?

Mathematics

1 answer:

kicyunya [14]3 years ago

8 0

Answer:

6x^3 + 29x^2 + 26x -21

Step-by-step explanation:

(2x^2 + 5x -3)(3x + 7) = 6x^3 + 14x^2 + 15x^2 + 35x - 9x -21

= 6x^3 + 29x^2 + 26x -21

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Suppose the professor decides to grade on a curve. If the professor wants 16% of the students to get an A, what is the minimum s

vladimir1956 [14]

There isn't enough info to determine that, I believe. You would need an equation that would allow me to determine the minimum output for an A.

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3 years ago

WILLL GIVE POINTS

Eddi Din [679]

Answer:

(1,1) (0,1) (2,-2) (3,2)

Step-by-step explanation:

So with dilation you have to mulitply thE numbers by the one said in the problem which Was 1/3. So after doing that I got those coordinates.

5 0

2 years ago

a survey amony freshman at a certain university revealed that the number of hours spent studying the week before final exams was

Marat540 [252]

Answer:

Probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

Step-by-step explanation:

We are given that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15.

A sample of 36 students was selected.

Let $\bar X$ = sample average time spent studying

The z-score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = population mean hours spent studying = 25 hours

$\sigma$ = standard deviation = 15 hours

n = sample of students = 36

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the average time spent studying for the sample was between 29 and 30 hours studying is given by = P(29 hours < $\bar X$ < 30 hours)

P(29 hours < $\bar X$ < 30 hours) = P( $\bar X$ < 30 hours) - P( $\bar X$ $\leq$ 29 hours)

P( $\bar X$ < 30 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ < $\frac{ 30-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z < 2) = 0.97725

P( $\bar X$ $\leq$ 29 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ $\leq$ $\frac{ 29-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z $\leq$ 1.60) = 0.94520

So, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2 and x = 1.60 in the z table which has an area of 0.97725 and 0.94520 respectively.

Therefore, P(29 hours < $\bar X$ < 30 hours) = 0.97725 - 0.94520 = 0.0321

Hence, the probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

7 0

2 years ago

A regular stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window. The wid

alexira [117]

Let x = width of border

Area is given to be 7 square feet or 49.

49 = (2x + 2)(2x + 4)

Solve for x.

6 0

2 years ago

Rachel babysits the Michaelson’s kids on Saturdays for 4 hours and is paid $12.50 per hour. On Sundays, she babysits at the Smit

Elena L [17]

Answer: Saturday for 4 hrs = $50

Sunday for 4 hours = $58

Step-by-step explanation:

6 0

2 years ago