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3 years ago

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Let f(x)=3x^3-5x^2-8k-1, where k is a constant. When f(x) is divided by x-k, the quotient is g(x) and the remainder is 3k+2. Fin

d the value(s) of k.

1 answer:

Irina18 [472]3 years ago

6 0

I think its like this.

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A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use 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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

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

$Z = \frac{1070 - 950}{155}$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

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

$Z = \frac{25 - 22}{4}$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

8 0

3 years ago

If 4x +5=9x-2,then x=

user100 [1]

<span>4x +5=9x-2
9x - 4x = 5 + 2
5x = 7
x = 7/5
x = 1.4</span>

5 0

3 years ago

Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary

denis-greek [22]

As anoutline, angles O and Q are inscribed angles which are measured by one-half of its intercepted arc.
angle O = 1/2 arc RQP
angle Q = 1/2 arc ROP

so arcs RQP and ROP together make up the entire circle which has 360 degrees.

so angles O and Q is 1/2 (360) = 180 degrees (supplementary angles).

6 0

2 years ago

Write an equation in standard form of the line that passes through the given point and has the given slope. (5,0) m=4/3

sveticcg [70]

$\text{The standard form of a line:}\ Ax+By=C$

$\text{The point-slope form:}$

$y-y_1=m(x-x_1)$

$\text{We have the point (5, 0) and the slope}\ m=\dfrac{4}{3}$

$\text{substitute:}\\\\y-0=\dfrac{4}{3}(x-5)\qquad|\text{use distributive property}\\\\y=\dfrac{4}{3}x-\dfrac{20}{3}\qquad|\text{multiply both sides by 3}\\\\3y=4x-20\qquad|\text{subtract 4x from both sides}\\\\-4x+3y=-20\qquad|\text{change the signs}\\\\\boxed{4x-3y=20}$

4 0

2 years ago

Please help ASAP I’ll mark you as brainlister

zavuch27 [327]

Answer:

So Sorry Omg Wait I'll will come back

8 0

3 years ago

Read 2 more answers