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3 years ago

PLEASE HELP ASAP 25 PTS

Mathematics

1 answer:

stepan [7]3 years ago

6 0

Answer:

2.810 log3(21.903)

Step-by-step explanation:

log5(92) = 2.810

To change bases

logb(a) = logc(a) / logc(b)

where c is the new base and b is the old base

log5 (92) = log 3(92)/log3(5)

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The perimeter of a triangle is 37. One side of triangle is one foot longer than the second side. The third side is tgree feet lo

disa [49]

Answer:

First: 12 feet

Second: 11 feet

Third: 14 feet

Step-by-step explanation:

Let the second side of the traingle be x

First side of the triangle= x+1

Third side of the triangle= x+3

x+x+1+x+3 = 37

3x+4 = 37

3x = 37-4

3x = 33

x = 11

First side of the triangle= (11)+1

= 12

Second side of the triangle= 11

Third side of the triangle= (11)+3

= 14

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3 years ago

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erma4kov [3.2K]

Independent is the x dependent is the y
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3 years ago

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Find the value of x. Then find the measure of each labeled angle.

Nat2105 [25]

Answer:

x = 70; the labeled angles are 110º and 70º.

Step-by-step explanation:

The full degrees will add up to 180º. There are 2x and +40.

Equation: $2x+40=180$

Solve: $2x+40=180\\\\180-40=140\\\\2x=140\\\\x=70$

Since x=70, 70+40 will equal to 110.

Therefore, "x = 70; the labeled angles are 110º and 70º." is correct.

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3 years ago

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A graduated commission employee makes 3.5% interest on the first $50,000 in sales and 6.5% interest on all sales over $50,000. W

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I believe the answer is B

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3 years ago

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The clearance between a pin and the collar around it is important for the proper performance of a disc drive for small computers

hichkok12 [17]

Answer:

(a) The distribution of (Y - X) is N (0.001, 0.0005).

(b) The probability that the pin will not fit inside the collar is 0.023.

Step-by-step explanation:

The random variable X is defined as the diameter of the pin and the random variable Y is defined as the diameter of the collar.

The distribution of X and Y is:

$X\sim N(0.525, 0.0003)\\Y\sim N(0.526, 0.0004)$

The random variables X and Y are independent of each other.

(a)

Compute the expected value of (Y - X) as follows:

$E(Y-X)=E(Y)-E(X)=0.526-0.525=0.001$

The mean of (Y - X) is 0.001.

Compute the variance of (Y - X) as follows:

$V(Y-X)=V(Y)+V(X)-2Cov(X,Y)\\=V(Y)+V(X);\ X\ and\ Y\ are\ independent\\=0.0003^{2}+0.0004^{2}\\=0.00000025$

$SD(Y-X)=\sqrt{0.00000025}=0.0005$

The standard deviation of (Y - X) is 0.0005.

Thus, the distribution of (Y - X) is N (0.001, 0.0005).

(b)

Compute the probability of [(Y - X) ≤ 0] as follows:

$P(Y-X\leq 0)=P(\frac{(Y-X)-\mu_{Y-X}}{\sigma_{Y-X}}\leq \frac{0-0.001}{0.0005})=P(Z$

*Use a z-table for the probability value.

Thus, the probability that the pin will not fit inside the collar is 0.023.

8 0

3 years ago