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1 year ago

What is the probability of rolling a 5 on a six sided number cube

Mathematics

1 answer:

oksian1 [2.3K]1 year ago

3 0

Answer:

Step-by-step explanation:

I think the answer is<u> 1/6.</u>

There are six sides and only one side has a 5 on it.

So, one side with a five/six sides in total

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What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?

zimovet [89]

ANSWER

$y - x = - 1$

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

$y = - x + 4$

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

$m= - \frac{1}{ - 1} = 1$

The equation of the line can be found using:

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

We substitute the slope and point to obtain:

$y - 3 = 1(x - 4)$

We simplify to get:

$y - 3 = x - 4$

$y - x = - 4 + 3$

The required equation is

$y - x = - 1$

5 0

3 years ago

Find the value of x for the right triangle. Round your answer to the nearest hundredth.

Karo-lina-s [1.5K]

Answer:

450 foe

Step-by-step explanation:

7 0

3 years ago

In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on a math tes

Shalnov [3]

Answer:

Step-by-step explanation:

Sleep Deprivation

In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.

(a) Identify the sample used in the study.

(b) What is the sample's population?

(d) Make an inference based on the results of the study?

Solution

A. The samples used is the hours of sleep and math test scores of the volunteers

B. The samples population is hours of sleep and math test scores of people in general

C. The part of the study that represent the descriptive branch of statistics is "three times more likely"

D.Inference: To perform well in a math test, a person should get at least 8 hours of sleep the night before.

3 0

3 years ago

6 - 2/3 (x+5) = 4x solve algebraically for the exact value of x

luda_lava [24]

Answer:

x = 2

Step-by-step explanation:

1 - Rewrite

6 - 2/3 (x+5) = 4x

2 - Distribute

6 - 2/3x + 10/3 = 4x

3 - Combine like terms and get x alone

6 10/3 - 2/3x = 4x

+2/3x +2/3x

6 10/3 = 4 2/3x

------------------------------- Convert to decimals

6.3333333333.... = 4.333...x

-------------------------------- Divide both sides by 4.33...x

2 = x

Hope this helps :)

3 0

3 years ago

X + 2∕5 = 1∕3 for x.

Stels [109]

Answer:

Step-by-step explanation:

8 0

3 years ago