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Ainat [17]
3 years ago
13

Multiply or divide as indicated. Leave your answer with no factors in the denominator. a^3 b^2 / a^-1 b^-3

Mathematics
1 answer:
ikadub [295]3 years ago
5 0

Answer:

a^4 b^5

Step-by-step explanation:

all you have to do is subtract the exponents in the numerator with the exponents in the denominator.

lets focus on 'a' first.

(3) - (-1)= 3+1= 4

so we get a^4

now lets focus on b

(2) - (-3)= 2+3=5

so we get b^5

put that together to get a^4 b^5

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Solve the inequality -24 less than or equal to x-3-8x
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The value of X is 3.

6 0
4 years ago
The equation of line CD is Y=3X -3. Write an equation of a line perpendicular to line CD in slope intercept form that contains p
OLga [1]
(I'm learning this right now!)

y = 3x - 3
If a line is perpendicular to another line, they have negative reciprocal slopes.
So you would use the slope -1/3.

Use y - y₁ = m(x - x₁) to get an equation in slope intercept form.
Plug the numbers in.

y - 1 = -1/3(x - 3)
y - 1 = -1/3x + 1
y = -1/3x + 2

An equation of a line perpendicular to line CD is y = -1/3x + 2.
8 0
3 years ago
A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assum
ki77a [65]

Answer:

The confidence interval is from 69.82 o 82.18

Step-by-step explanation:

Using this formula X ± Z (s/√n)

Where

X = 76 --------------------------Mean

S = Standard Deviation

If Variance = 144

S = √144

S = 12

n = 25 ----------------------------------Number of observation

Z = 2.576 ------------------------------The chosen Z-value from the confidence table below

Confidence Interval || Z

80%. || 1.282

85% || 1.440

90%. || 1.645

95%. || 1.960

99%. || 2.576

99.5%. || 2.807

99.9%. || 3.291

Substituting these values in the formula

Confidence Interval (CI) = 76 ± 2.576 (12/√25)

CI = 76 ± 2.576(12/5)

CI = 76 ± 2.576(2.4)

CI = 76 ± 6.1824

CI = 76 + 6.1824 ~ 76 - 6.1824

CI = 82.1824 ~ 69.8176

CI = 82.18 ~ 69.82

In other words the confidence interval is from 69.8176 to 82.1824

4 0
3 years ago
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