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2 years ago

One of the sides of a rectangle has length 7. Which of the following points, paired with (6,5), will make a side of this length?

Mathematics

1 answer:

TiliK225 [7]2 years ago

6 0

Answer:

B (6,12)

Step-by-step explanation:

The distance from point A (6,5) to point B should be 7.

A- (6,5)-> (7,5) is 1 unit right

B- (6,5)-> (6,12) is 7 units up

C- (6,5)-> (6,7) is 2 units up

D- (6,5)-> (12,5) is 6 units up

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Evaluate 3{5+3[10+4•8]}

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3 years ago

Simplify each of the following expressions.

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3 years ago

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.f(x) = 3x3 + 39x2 + 39x + 27

kramer

First, we can factor this to make it easier to solve:

3(x^3 + 13x^2 + 13x + 9)

Now, we can use the rational root theorem like so:

List factors of 9:

1, 3, 9.

List factors of 1:

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3 years ago

Variable x is 7 more than variable y. Variable x is also 1 less than y. Which of the following pairs of equations best models th

Pepsi [2]

We know that
1) Variable x is 7 more than variable y
so
x=y+7

2) Variable x is also 1 less than y.
x=y-1

therefore

the answer is
the option
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4 0

2 years ago

Suppose a university advertises that its average class size is 34 or less. A student organization is concerned that budget cuts

Korolek [52]

Answer:

H0: μ ≤ 34

H1: μ > 34

The z-test statistic is ≈ 1.8

The critical z-score is 1.28

we fail to reject the null hypothesis H0: μ ≤ 34

Step-by-step explanation:

H0: μ ≤ 34

H1: μ > 34

The z-test statistic is calculated using the formula:

z= $\frac{X-M}{s}$ where

X is the average class size found in the sample (35.6)
M is the mean according to the null hypothesis (34)
s is the standard deviation for class size (9)

then z= $\frac{35.6-34}{9}$ ≈ 0.18

The critical z-score is 1.28 for α=0.10 (one tailed)

Because the test statistic is less than the critical value, do not reject the null hypothesis.

8 0

3 years ago