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3 years ago

What is 5/8 multiplied by 5 as a mixed number??

Mathematics

2 answers:

Pani-rosa [81]3 years ago

7 0

Answer:

25/8 or 3 1/8

Step-by-step explanation:

5/8 * 5/1 (aka 5)

5/1 equals to 5 because any whole number over 1 equals the same whole number.

To multiply fractions, just multiply across. In the case. 5 time 5 for the numerator. Then 8 times 1 for the denominator.

= 25/8 = 3 1/8

maksim [4K]3 years ago

5 0

3 1/8

Hope this helps :)

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The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope

elena55 [62]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the average life of light bulbs.

As per given , we have

Null hypothesis : $H_0 : \mu =5400$

Alternative hypothesis : $H_a : \mu >5400$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=95,\ \overline{x}=5483\ \&\ \sigma=500$ , we have

$z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180$

Using z-value table , Critical one-tailed test value for 0.06 significance level :

$z_{0.06}=1.5548$

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0

3 years ago

Is it a convenience sample or voluntary response sample for both

Katyanochek1 [597]

Answer:

both of the questions are examples of convenience samples

Step-by-step explanation:

A voluntary response would be where the people get to choose to respond to the survey. In both of these cases, teachers are specifically asking for their students opinions.

7 0

3 years ago

What is a equivalent fraction for 2/8

FrozenT [24]

There are tons! But here are a few examples for ya:
4/16
6/24
8/32
1/4

Hope this helps!!

7 0

3 years ago

Read 2 more answers

A glass box shaped like a rectangular prism has width 7 inches, length 9 inches, and height 12 inches. It is being shipped in a

Nadusha1986 [10]

Answer:

744 in³

Step-by-step explanation:

Since you are filling the larger box with both rectangular prism and Styrofoam peanuts, you need to find the overall volume of the larger box and subtract the volume of the glass box to find the amount of space that the Styrofoam peanuts need to take up.

Volume (prism) = Bh, where B = area of the base, h = height

Larger Box: V = 10 x 10 x 15 = 1500 in³

Glass Box: V = 7 x 9 x 12 = 756 in³

1500 - 756 = 744 in³ of Styrofoam peanuts

8 0

3 years ago

Anyone! Please help me! I don't understand at all what to do! Help would be really appreciated :)

Rom4ik [11]

Answer: They are parallel

Step-by-step explanation:

If two lines are parallel , then they must have the same slope and if two lines are perpendicular , the product of their slope must be -1.

To check this , we must calculate the slope of the two lines given.

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

from the first point

$y_{1}$ = 2

$y_{2}$ = 1

$x_{1}$ = 5

$x_{2}$ = -1

substituting the values

slope 1 = 1 - 2 / -3 - 5

slope1 = -1 / -8

slope 1 = 1/8

Using the same format to calculate the slope of the second line

$y_{1}$ = -2

$y_{2}$ = 0

$x_{1}$ = -1

$x_{2}$ = 15

slope 2 = 0 - (-2) / 15 - (-1)

slope 2 = 2/16

slope 2 = 1/8

Since slope 1 = slope 2 , this implies that the lines are parallel

6 0

3 years ago