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3 years ago

If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1?

1 answer:

3 0

For the first die, 5 out of 6 are not 1.
That is 5/6.
For the second die, 3 out of 4 are not 1.
That is 3/4.
Multiply 5/6 by 3/4 to get the probability.
5/6 x 3/4 = 20/72
Simplify once to get 10/36.
Do it again to get 5/18.
In decimal form it is 0.2777 and in percent form it is 27.77%.
Hope this helps!

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A Hallway measuring 90 feet x 7 feet requires 1/2 fluid ounce cleaning solution square foot. How much cleaning solution is requi

alexandr1967 [171]

90 * 7 = 630 ft^2
630 * (1/2) = 315 fl oz

6 0

3 years ago

Type the correct answer in each box. Round numbers to the nearest tenth, if necessary.

nexus9112 [7]

ANSWER

$x = 1.6$

EXPLANATION

The given equation is:

$- 0.5x - 2 = 2x - 1 - 6$

Group similar terms to obtain:

$- 0.5x - 2x = - 5 - 1 + 2$

Simplify similar terms,

$- 2.5x = - 4$

Divide both sides by -2.5

$x = \frac{ - 4}{ - 2.5}$

$x = 1.6$

3 0

3 years ago

Read 2 more answers

Find two consecutive even integers such that the sum of the larger and three times smaller is 234

Mnenie [13.5K]

X + (x + 2)
x + 2 + 3x = 234 combine like terms
4x + 2 = 234 subtract two to isolate x
4x = 232 divide by four
x = 58

The two numbers are 58 and 60.

4 0

3 years ago

Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg

zhenek [66]

Answer:

96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

Step-by-step explanation:

We are given that a group of researchers at the BYU Off-Campus Housing department want to estimate the mean monthly rent that unmarried BYU students paid during winter 2018.

During March 2018, they randomly sampled 314 BYU students and found that on average, students paid $346 for rent with a standard deviation of $86.

So, the pivotal quantity for 95% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = average rent paid by 314 BYU students = $346

s = sample standard deviation = $86

n = sample of students = 314

$\mu$ = population mean monthly rent of all unmarried BYU students

So, 96% confidence interval for the population mean monthly rent, $\mu$ is ;

P(-2.082 < $t_3_1_3$ < 2.082) = 0.96

P(-2.082 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.082) = 0.96

P( $-2.082 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ , $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $346 -2.082 \times {\frac{86}{\sqrt{314} } }$ , $346 +2.082 \times {\frac{86}{\sqrt{314} } }$ ]

= [335.89 , 356.10]

Therefore, 96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

5 0

4 years ago

5x - 5 = 5(x+1) need help

bezimeni [28]

Answer:

There are no solutions.

Step-by-step explanation:

5x-5=5(x+1)

5x-5=5x+5

+5 +5

5x=5x+10

-5x -5x

0x=10

There are no possible answers.

Hopefully this helps.

7 0

3 years ago