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SVEN [57.7K]
3 years ago
5

Two students are asked to come to the board to work a math problem. Each student could work an easy question (E) or a hard quest

ion (H). Drag and drop the letters to show all the possible outcomes for the students' choices. List the first student's choice followed by the second student's choice.
Mathematics
1 answer:
irakobra [83]3 years ago
6 0

Answer:E

Step-by-step explanation:

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Find the gcf of the terms of the polynomial. 12x 20 a) 2 b) 4 c) 5 d) 10
luda_lava [24]
12x + 20 = 4(3x + 5)

gcf = 4
5 0
3 years ago
Consider the following hypothesis test:
KengaRu [80]

Answer:

(a) t= -1.540

(b) 0.10 < p < 0.20

(c) Fail to reject H_o

Step-by-step explanation:

Given

H_o: =18       H_a: \ne 18

n = 48

\bar x = 17

\sigma = 4.5

Solving (a): The test statistic

This is calculated as:

t= \frac{\bar x - \mu_o}{\sigma/\sqrt n}

So, we have:

t= \frac{17 - 18}{4.5/\sqrt{48}}

t= \frac{- 1}{4.5/6.93}

t= \frac{- 1}{0.6493}

t= -1.540 --- approximated

Solving (b): Range of p value

First, calculate the degree of freedom (df)

df = n - 1

df = 48 - 1

df = 47

Using:

\alpha = 0.05 --- significance level

The p value at: df = 47 is:

p = 0.065133

and the range is:

0.05 * 2 < p < 2 * 0.10

0.10 < p < 0.20

Solving (c): The conclusion

Compare the p value to the level of significance value

We have:

p = 0.065133

\alpha = 0.05

By comparison:

p > \alpha

because:

0.065133 > 0.05

<em>Hence, the conclusion is: fail to reject </em>H_o<em></em>

8 0
3 years ago
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.
Wittaler [7]

<span>First we calculate z using the formula:

z = (x - μ)/σ</span>

Where:

x = our variable, 10

μ = mean, 8

σ = standard dev, 2

Substituting known values:<span>
z = (10 - 8)/2
z = 2/2
z = 1

Using the tables of the normal distribution to find the p-value with z = 1

p = 0.8413

Since we want "greater than 10”, we need to subtract the probability from 1 therefore

p* = 1 - 0.8413 = <span>0.1587</span></span>

6 0
3 years ago
Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet.
d1i1m1o1n [39]

Answer:

The two expressions are;

1) -8 ft. + 3 × 6 ft. = 12 feet

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Step-by-step explanation:

The given parameters are;

The lengths in feet Cecil can travel = 5 feet, 6 feet, and 8 feet

The distances Cecil can travel forward = (positive 5, 6, 8)

Backwards Cecil can travel distances of (-5, -6, -8)

Cecil can go forward past the ladder and return back

Therefore, the number expressions by which Cecil can cross a tightrope 12 feet long are;

1) -8 ft. + 3 × 6 ft. = 12 feet

Which is to go back 8 feet and then to go forward 6 feet three times

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Which is to go back 6 feet then to go forward in 5 feet two times and then in forward again in 8 feet.

7 0
3 years ago
The record low temperature in Oklahoma was -31°F. The record low temperature in South Dakota is 27°F lower than -31°F. What is t
zhannawk [14.2K]
The record low temperature is -58°F
4 0
3 years ago
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