MATHEMATICS COLLEGE

How many quarts of water does Paul need to add to keep theconsistency of the concrete the same? Complete the ratio square
Plzzz help!!!

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

i took the quiz

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Writing on the SAT Exam It has been found that scores on the Writing portion of the SAT (Scholastic Aptitude Test) exam are normally distributed with mean 484 and standard deviation 115. Use the normal distribution to answer the following questions. Required:
a. What is the estimated percentile for a student who scores 425 on Writing?
b. What is the approximate score for a student who is at the 87th percentile for Writing?

Answers

Answer:

a) The estimated percentile for a student who scores 425 on Writing is the 30.5th percentile.

b) The approximate score for a student who is at the 87th percentile for Writing is 613.5.

Step-by-step explanation:

Problems of normally distributed distributions 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:

$Z = (X - \mu)/(\sigma)$

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.

In this question, we have that:

$\mu = 484, \sigma = 115$

a. What is the estimated percentile for a student who scores 425 on Writing?

This is the pvalue of Z when X = 425. So

$Z = (X - \mu)/(\sigma)$

$Z = (425 - 484)/(115)$

$Z = -0.51$

$Z = -0.51$ has a pvalue of 0.3050.

The estimated percentile for a student who scores 425 on Writing is the 30.5th percentile.

b. What is the approximate score for a student who is at the 87th percentile for Writing?

We have to find X when Z has a pvalue of 0.87. So X for Z = 1.126.

$Z = (X - \mu)/(\sigma)$

$1.126 = (X - 484)/(115)$

$X - 484 = 1.126*115$

$X = 613.5$

The approximate score for a student who is at the 87th percentile for Writing is 613.5.

Consider the function below. f(x) = 6x tan x, −π/2 < x < π/2 (a) find the vertical asymptote(s). (enter your answers as a comma-separated list. if an answer does not exist, enter dne.)

Answers

Answer:

x = −π/2, x = π/2

Step-by-step explanation:

Given f(x) = 6x tan x and the interval −π/2 < x < π/2, we know that tan x has asymptotes in both extremes of the interval. To find the vertical asymptotes we evaluate the limit in the x-values we think asymptote can appear, in this case for x = −π/2 and x = π/2.

$\lim_(x \to\ (-\pi/2)-) 6x * tan x=$

$=\lim_(x\to\ (-\pi/2)-) 6x * \lim_(x\to\ (-\pi/2)-)tan x=$

$=-3 \pi * -\infty =\infty$

$\lim_(x\to\ (\pi/2)+) 6x * tan x=$

$=\lim_(x\to\ (\pi/2)+) 6x * \lim_(x\to\ (\pi/2)+)tan x=$

$=3 \pi * \infty =\infty$

Then, x = −π/2 and x = π/2 are vertical asymptotes.

Answer: Does not exist.

Step-by-step explanation:

Since, given function, f(x) = 6x tan x, where −π/2 < x < π/2.

⇒ f(x) = $(6x sin x)/(cosx)$

And, for vertical asymptote, cosx= 0

⇒ x = π/2 + nπ where n is any integer.

But, for any n x is does not exist in the interval ( -π/2, π/2)

Therefore, vertical asymptote of f(x) where −π/2 < x < π/2 does not exist.

The quadratic function f(x) has a vertex at (9, 8) and opens upward. If g(x) = 4(x − 8)2 + 9, which statement is true?A.
The maximum value of f(x) is greater than the maximum value of g(x).
B.
The maximum value of g(x) is greater than the maximum value of f(x).
C.
The minimum value of f(x) is greater than the minimum value of g(x).
D.
The minimum value of g(x) is greater than the minimum value of f(x).

Answers

ANSWER

D.
The minimum value of g(x) is greater than the minimum value of f(x).

EXPLANATION

It was given that;

$f(x)$
has a vertex at

$(9,8)$

and opens upwards.

This means that f(x) is a minimum graph and hence have a minimum value of 8.

Also ,

$g(x) = 4 {(x - 8)}^(2) + 9$

When we compare this function to

$y = a {(x - h)}^(2) + k$

We can see that,a=4, h=8 and y=9.

The vertex is

$(8,9)$

Since a>0, the graph opens upwards.

The graph has a minimum point which is (8,9) and hence the minimum value is 9.

We can see that, the minimum value of g(x) is greater than the minimum value of f(x).

Therefore the correct answer is D.

Ivan bought a $1000 bond with a 4.5% coupon that matures in 30 years. Whatare Ivan's annual earnings for this bond?
A. $45.00
B. $25.00
C. $4.50
D. $22.50

Answers

Ivan's annual earnings for this bond is $45.00

What is a bond?

A bond is a pledge, made by a borrower to pay a loan taken back to the lender with an interest.

Ivan's annual interest earning would be :

= $1,000 x 4.5 %

= $45 per year

Hence, Ivan's annual earnings for this bond is $45.00

Learn more about bonds here : brainly.com/question/1392006

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Point A is at (-6,5) and point M is at (-1.5, -1).Point M is the midpoint of point A and point B.
What are the coordinates of point B?

Answers

Answer: the coordinates are (3,-7)

Step-by-step explanation: just took the khan academy quiz! hope you do well loves <3

Final answer:

To find the coordinates of point B, we first apply the midpoint formula, with point M as the midpoint and point A given. Solving for point B's coordinates we find they are (3, -7).

Explanation:

In order to find the coordinates of point B, we need to use the midpoint formula. The midpoint M of two points A (x1, y1) and B (x2, y2) is given as:

M = [(x1 + x2)/2 , (y1 + y2)/2].

Given that the midpoint M is (-1.5, -1) and point A is (-6,5), we can use the midpoint formula to calculate the coordinates of point B by rearranging the formula to solve for x2 and y2 (the coordinates of point B):

x2 = 2*xm - x1, y2 = 2*ym - y1.

Plugging in known values, the x-coordinate of point B (x2) = 2*-1.5 - (-6) = 3 and the y-coordinate of point B (y2) = 2*-1 - 5 = -7.

So, the coordinates of point B are (3, -7).

Learn more about Midpoint Formula here:

brainly.com/question/15085041

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Find a formula for the described function. A rectangle has perimeter 10 m. Express the area A of the rectangle as a function of the length, L, of one of its sides.