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2 years ago

What is 1 divided by 5^-2? Please give clear explanation. thanks.

1 answer:

7 0

1 / 5^-2

First, let's work out the denominator.
5^ -2 = 1/25. When an exponent is negative, it means to put a 1 over the product. Like we did earlier.

Now we have 1 / (1/25).

1 / (1/25)
Divide 1 by 25.
1 / 0.04
Divide 1 by 0.04
25

The answer is 25!

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To play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped.

aleksley [76]

Answer:

16.7%

Step-by-step explanation:

Please check below attachment for sample space table

Firstly, we have the total number of possible results as 12

From the 12, the probability of flipping a head is 6/12

Rolling either a 3 or a 5 is the sum of places we have both divided by the possible total of 12

we have this as ; 2/12 + 2/12 = 4/12

The term ‘AND’ means we have to multiply the two probabilities as follows;

4/12 * 1/2 = 1/6 = 0.1667

To the nearest tenth, we have this as 16.67% which is 16.7%

5 0

3 years ago

Write an equation of the line that passes through (2, 7) and (0, −5) y=

viva [34]

((-5) - 7) / (0-2) = slope because equation for slope is y2 - y1 / x2 - x1. Then the y-intercept is already given. So slope is -12/-2 = 6 so, y= mx + b, meaning mx is slope of -6x and b being -5. Therefore the equation is y = -6x - 5. Hope this helps!

4 0

3 years ago

Read 2 more answers

What is next letter BE GJ LO QT

jeka57 [31]

The letters BE GJ LO QT forms a sequence in which the first letter of each term is formed by counting five alphabets from the first letter of the preceding term while the last letter of each term is also formed by counting five alphabets from the last letter of the preceding term. Therefore, the next term in the sequence is VY.

3 0

3 years ago

A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the do

USPshnik [31]

Answer:

No, we don't have sufficient evidence to support the claim that the doors are either too long or too short.

Step-by-step explanation:

We are given that a lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used.

A sample of 11 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 25.0.

Let $\mu$ = population mean length of doors.

So, Null Hypothesis, $H_0$ : $\mu$ = 2058.0 millimeters {means that the mean length of doors is 2058.0 millimeters}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 2058.0 millimeters {means that the doors are either too long or too short}

The test statistics that will be used here is One-sample t-test statistics because we know about the population standard deviation;

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

where, $\bar X$ = sample mean = 2043.0 millimeters

s = sample standard deviation = 25.0 millimeters

n = sample of doors = 11

So, the test statistics = $\frac{2043.0-2058.0}{\frac{25.0}{\sqrt{11} } }$

= -1.989

The value of t-test statistics is -1.989.

Now, at a 5% level of significance, the t table gives a critical value between -2.228 and 2.228 at 10 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean length of doors is 2058.0 millimeters.

7 0

2 years ago

Find the distance from the base of the ladder to the house.

True [87]

Answer:

tfeybgchhimliehbu uhuijo;k,l

Step-by-step explanation:

1.vuybcewouinjhi

2.dfbvfdsa

7 0

3 years ago