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2 years ago

Nico can do 42 push-ups in 3 minutes.

Mathematics

1 answer:

Alchen [17]2 years ago

4 0

Step-by-step explanation:

Hey there!

It is said we need to find the unit rate.

What we can do is apply Unitary Method.

3 minutes = 42 push ups

1 minute = $\sf{\bf{\dfrac{42}{3}}}$

<u>So, 12 push ups per minute is the unit rate.</u>

In 5 minutes, he will do 12×5 = <u>60 push ups!</u>

Hope it helps :)

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15-z=6 I need help please show work

solniwko [45]

Answer:

z= -9

Step-by-step explanation:

Subtract 15 on both sides, because it is a positive number

15-15=0

6-15=-9

z= -9

Hope this helps!

4 0

3 years ago

What 7482 + y + A -2937?

s344n2d4d5 [400]

Answer:

4545+y+A

Step-by-step explanation:

It cant be solved it can only be simplified down to 4545+y+A

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3 years ago

Which phrase best describes the translation from the graph y=6x^2 to the graph of y= 6(x+1)^2

Ksenya-84 [330]

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3 years ago

Historically, these bolts have an average thickness of 10.1 mm. A recent random sample of 10 bolts yielded these thicknesses:

Akimi4 [234]

Answer:

a) Sample mean = 9.99

Sample standard deviation = 0.3348

b) -1.0389

c) 0.1631

Step-by-step explanation:

We are given the following in the question:

9.7, 9.9, 10.3, 10.1, 10.5, 9.4, 9.9, 10.1, 9.7, 10.3

a) sample mean and standard deviation

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{99.9}{10} = 9.99$

Sum of squares of differences = 1.009

$S.D = \sqrt{\dfrac{1.009}{9}} = 0.3348$

b) observed value of the t-statistic

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{9.99 - 10.1}{\frac{0.3348}{\sqrt{10}} } = -1.0389$

c) probability of these statistics (or worse) if the true mean were 10.1 mm

Degree of freedom = n - 1 = 9

Calculating the value from the table

$P(x < 9.99) = 0.1631$

0.1631 is the the probability of these statistics (or worse) if the true mean were 10.1 mm

8 0

3 years ago

(-2.5,-4)and(1.5,-2)

svlad2 [7]

Slope-

m = 0.5

Midpoint-

(-0.5, -3)

Distance between two points-

4.47213595

Equation of the line-

y = 0.5x - 2.75

y intercept-

b = -2.75

Graph-

3 0

3 years ago