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3 years ago

9

Find the perimeter of a triangle with sides measuring 3 centimeters 4 centimeters and 5 centimeters

1 answer:

uranmaximum [27]3 years ago

3 0

Answer:

12 centimeters

Step-by-step explanation:

3+4+5=12

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A production supervisor at a major chemical company wishes to determine whether a new catalyst, catalyst XA-100, increases the m

zheka24 [161]

Answer:

a. n= 47

b. n= 128

Step-by-step explanation:

Hello!

The objective of this experiment is to test if the new catalyst, XA-100, increases the mean hourly yield of a chemical process, that is known to be μ=750 (pounds per hour) with the current process.

You need to calculate the sample size to estimate the population with determined error margins.

To do so, since you have no population information, only that it is approximately normal distributed, you'll use the Student t statistic to get the sample size.

The formula of the margin of error (d) is:

d= $t_{n-1: 1-\alpha/2}$ * ( $\frac{S}{\sqrt{n} }$ )

I've cleared the sample size of the formula

$n= (S*\frac{t_{n-1; 1-\alpha /2} }{d} )^{2}$

You need a sample size for the t-Student value and a standard deviation, that's why the information of a pilot study with n=5 and S= 19.62 is given.

a)

95% CI

d= 8 pounds

$t_{n-1; 1-\alpha/2 } = t_{5-1;1-0.025} = t_{4;0.975} =2.776$

$n= (19.62*\frac{2.776 }{8} )^{2}$

n= 46.35 ≅ 47

b)

99% CI

d= 5 pounds

$t_{n-1; 1-\alpha/2 } = t_{5-1;1-0.005} = t_{4;0.995} =4.604$

$n= (19.62*\frac{4.604}{8} )^{2}$

n= 127.49 ≅ 128

I hope it helps!

4 0

3 years ago

A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.

hichkok12 [17]

Answer:

x=6

Step-by-step explanation:

Given the x-intercepts of a parabola: $x_1=3, x_2=9$

The equation of symmetry at the parabola's vertex is x=h

Where $h=\dfrac{x_1+x_2}{2}$

In this case,

$h=\dfrac{3+9}{2}=6$

Therefore, the line of symmetry of the parabola is x=6 and is also the x-coordinate of the parabola's vertex.

8 0

4 years ago

If it takes 5 hours for felicias phone to get on 1% how many hours will it take to get 100%

SVETLANKA909090 [29]

Depends on what phone you have.

3 0

3 years ago

Read 2 more answers

The diagram shows a circle of radius 1 contained in a square. If the area of the circle equals x% of the area of the square, the

11111nata11111 [884]

Answer:

Area of square with a side of 2r = 2(1) = 2 = 2^2 = 4

Area of circle = pi ( 1)^2 = pi

x = pi / 4 ≈ .79 = 79%

7 0

3 years ago

Consider the function rule: y = 9x – 7<br> What is the value of y when x=4?<br> What is the value

Goryan [66]

The value of y is 29

Since x=4, put 4 in 9x

y = 9(4) - 7
y = 36 - 7
y = 29

5 0

3 years ago