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Varvara68 [4.7K]
2 years ago
14

Find the constant of proportionality in the equation below. Y=150x

Mathematics
1 answer:
Oliga [24]2 years ago
7 0

Answer:

k = 150

Step-by-step explanation:

y = 150x has the form y = kx; k is the constant of proportionality.  In this case, that constant is k = 150.

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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
PLS I NEED THIS TO BE DONE IMMEDIATELY PLS PLS ;-;. which has the greater maximum value: f(x)=-3x^2+6x4, or g(x), the function i
ipn [44]

Answer:

A.f(x)

Step-by-step explanation:

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4 0
3 years ago
Which reason justifies statement 2?
astraxan [27]

Answer:

B.consecutive interior angles

3 0
2 years ago
What’s the correct answer for this?
kondor19780726 [428]

A(-3,5) to B(8,1)

That makes a right triangle 8 - -3 = 11 in the x direction, 5 - 1 = 4 in the y direction.

d² = (8 - -3)² + (1 - 5)² = 11² + (-4)² = 121 + 25 = 146

d = √146 = 12.083045973594572

Answer: 12.1

4 0
2 years ago
Please help on this math question!!!
Andre45 [30]
I think it’s gonna be 6 adults for every 42 students not really sure so sorry if I got it wrong
6 0
1 year ago
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