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Georgia [21]
4 years ago
6

If A(0,0) and B(2,5) find AB

Mathematics
1 answer:
mojhsa [17]4 years ago
4 0
Distance = sqrt[ (5-0)^2 + (2-0)^2]
Sqrt (5^2 + 2^2)
Sqrt(25+4)
Sqrt(29)
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How do I factor this trinomial? It is the question that reads as -16r^3 - 6r^2 - 18r
kirza4 [7]
<span>-16r^3 - 6r^2 - 18r = -2r(8r^2 + 3r + 9)

hope that helps</span>
5 0
3 years ago
When the angle of elevation to the sun is 53 a tree casts a shadow that is 9 meter long. what is the height of the tree?
alexgriva [62]
Tan (53) = tree height / 9 m
tree height = tan (53) * 9
tree height = 1.327 * 9
tree height = 11.943 meters

6 0
4 years ago
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
Corinne buys a craft kit that has 10 different colors of beads. There are 10 beads of each color. She uses 5 of the 10 blue bead
Rzqust [24]

Answer:

The kit has 10 different colors of beads.

There are 10 beads of each color.

This means that we have 10*10 = 100 beads in total.

We know that she uses 5 beads in a project, and then to complete it she uses other 43 beads.

Then the total number of beads used is:

43 + 5 = 48 beads.

Then the remaining number of beads is:

100 - 48 = 52

3 0
4 years ago
How do you do the distributive property for 7*7
Troyanec [42]

The distributive property: a(b + c) = ab + ac

7 × 7 = 7 × (10 - 3) = (7)(10) - (7)(3) = 70 - 21 = 49

7 × 7 = 7 × (5 + 2) = (7)(5) + (7)(2) = 35 + 14 = 49

7 0
3 years ago
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