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3 years ago

Write each situation as a rate.

Mathematics

2 answers:

Zarrin [17]3 years ago

6 0

Answer:

john travels 50 mph

Cameron eats 2.5 apples everyday

Step-by-step explanation:

This is what I got when searching for it

BartSMP [9]3 years ago

5 0

Answer:

See below.

Step-by-step explanation:

Distance traveled for John

150 miles / 3 hours = 50 miles/hour

Cameron apples

5 apples / 2 days = 2.5 apples/day

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A large rock has a mass of 9,000 grams. What is the mass of the rock in kilograms ?

katovenus [111]

The mass of the rock in kg is 90,000 kg

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3 years ago

Read 2 more answers

Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the nu

olga_2 [115]

Answer:

The probability that the selected joint was judged to be defective by neither of the two inspectors is $P(A' n B' ) = 0.8855$

The probability that the selected joint was judged to be defective by inspector B but not by inspector A is $P(A' n B) =0.0403$

Step-by-step explanation:

From the question we are told that

The sample size is $n_s = 10000$

The number of outcome for inspector A is $n__{A}} = 742$

The number of outcome for inspector B is $n__{B}} = 745$

The number of joints judged defective by both inspector is $n(A u B) = 1145$

The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

$P(A' n B' ) = 1 - P(A u B)$

Now

$P(A\ u \ B) = \frac{n(Au B)}{n_s }$

substituting values

$P(A\ u \ B) = \frac{1145}{ 10 000 }$

$P(A' n B' ) = 1 - \frac{1145}{10 000}$

$P(A' n B' ) = 0.8855$

the probability that the selected joint was judged to be defective by inspector B but not by inspector A is mathematically represented as

$P(A' n B) = P(A \ u \ B) -P(A)$

Now

$P(A) = \frac{n__{A}}{n_s}$

substituting values

$P(A) = \frac{742}{10 000}$

$P(A' n B) = \frac{1145}{10 000} - \frac{742}{10 000}$

$P(A' n B) =0.0403$

7 0

3 years ago

Evaluate the integral x^3 (x 4 −8)^44 dx by making the substitution u = x^4 - 8

Eduardwww [97]

Answer:

(x^4-8)^45 /180 +c

Step-by-step explanation:

If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.

If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.

Now we are ready to make substitutions into our integral.

Int(x^3 (x^4-8)^44 dx)

Int(((x^4-8)^44 x^3 dx)

Int(u^44 du/4)

1/4 Int(u^44 dul

1/4 × (u^45 / 45 )+c

Put back in terms of x:

1/4 × (x^4-8)^45/45 +c

We could multiply those fractions

(x^4-8)^45 /180 +c

5 0

2 years ago

You may use a spreadsheet for this one. If $60 is put in an account that gets 7% per year, and I add $15 at the end of each year

Nutka1998 [239]

You will have approximately $257 at the end of 8 years.

3 0

3 years ago

What’s the answer pleazzzzz helplllllll 9m^2-4m-6 by 3m

dlinn [17]

Answer

D. 3m - 4/3 -2/m

<u>Explanation</u>

(9m²-4m-6) ÷ 3m = 9m²/3m - 4m/3m - 6/3m

Carry out the division, each term is divided by 3m.

9m²/3m = 3m

- 4m/3m = -4/3

- 6/3m = - 2/m

Finally you will get,

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3 years ago