A rectangle has a height of 3p^2+13p

(3x2 + 5x + 7) - (-4x2 + 3x - 6

ELEN [110]

Answer:

7x2 + 2x + 13

Step-by-step explanation:

tiger algebra was used

https://www.tiger-algebra.com/drill/(3x2_5x_7)-(-4x2_3x-6)/

7 0

2 years ago

A rock is thrown upward from a bridge that is 22 feet above a road. The rock reaches its maximum height above the road 0.69 seco

Flura [38]

Answer:

<u>f(t) = -7.561(t + 1.15)(t - 2.53)</u>

Explanation:

The<em> hint </em>is that the function f can be written in the form:

f(t) = c (t - t₁) (t - t₂)

It is a quadratic function, i.e. a parabola.

The maximum point, maximum height, of a parabola is its vertex.

And the x-coordinate of the vertex is at the midpoint between the two x-intercepts.

The time when the rock reaches the road is one x-intercept: t = 2.53 seconds: (2.53, 0).

The other x-intercept is sucht that (x + 2.53) / 2 = 0.69

(x + 2.53) / 2 = 0.69
x + 2.53 = 1.38
x = 1.38 - 2.53
x = -1.15

Thus, the equation is:

f(t) = c(t + 1.15) (t - 2.53).

You can find c by doing t = 0, because at t = 0 the height, f(t), is 22 feet:

f(0) = 22 = c (0 +1.15)(0 - 2.53)
22 = c(1.15)(-2.53)
22 = c (-2.9095)
c = - 22/(2.9095)
c = - 7.561

Then, the function can be written as:

f(t) = -7.561(t + 1.15) (t - 2.53) ← answer

6 0

2 years ago

The distribution of weekly salaries at a large company is right skewed with a mean of $1000 and a standard deviation of $350. Wh

Shtirlitz [24]

Answer:

68.76% probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 50 employees will be at most $50

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation, which is also called standard error $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 1000, \sigma = 350, n = 50, s = \frac{350}{\sqrt{50}} = 49.5$

What is the probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 50 employees will be at most $50

This is the pvalue of Z when X = 1000+50 = 1050 subtracted by the pvalue of Z when X = 1000-50 = 950. So

X = 1050

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{1050-1000}{49.5}$

$Z = 1.01$

$Z = 1.01$ has a pvalue of 0.8438

X = 950

$Z = \frac{X - \mu}{s}$

$Z = \frac{950-1000}{49.5}$

$Z = -1.01$

$Z = -1.01$ has a pvalue of 0.1562

0.8438 - 0.1562 = 0.6876

68.76% probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 50 employees will be at most $50

4 0

2 years ago

What is $630,000 divide by 24

liubo4ka [24]

$26,250. 630,000 ÷ 24 =26250

7 0

2 years ago

Read 2 more answers

What is the range of the function y=square root x+5 ?

Ne4ueva [31]

Answer:

all non-negative real numbers, [0, ∞)

Step-by-step explanation:

Replacing x in the parent function √x with (x+5) shifts the graph horizontally, but has no effect on the vertical extent of the graph. It still ranges from 0 to +∞.

The range of √(x+5) is [0, ∞).

4 0

3 years ago