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Black_prince [1.1K]
3 years ago
13

A box contains ten cards labeled Q, R, S, T, U, V, W, X, Y, and Z. One card will be randomly chosen.

Mathematics
1 answer:
Triss [41]3 years ago
8 0

Answer: 2/5

Step-by-step explanation: The total number of letters available to choose from is 10. You want to know the probability of 4 of those 10. So you divide 4/10. When you simplify that fraction it becomes 2/5.

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For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many
matrenka [14]

Answer:

40 rubber bands are needed

5 rubber bands will be left from 5 bags of of rubber band

Step-by-step explanation:

Each student will need five rubber bands.

There are eight students

Total rubber bands needed = rubber bands per student × number of students

= 5 × 8

= 40

Total rubber bands needed = 40

Rubber bands come in bags of nine.

Number of bags needed = Total rubber bands needed / number of rubber bands in each bag

= 40 / 9

= 4.44 bags

It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5

5 rubber bands bags will be bought which = 5 × 9

= 45 rubber bands

Only 40 rubber bands are needed

Left over rubber bands = 45 - 40

= 5 rubber bands

5 0
2 years ago
45^2 ÷ 78 = ????????
elena55 [62]
\frac{(45)^2}{78}

To solve the problem find the value of (45)^2 at first

(45)^2=2025\frac{2025}{78}=25\text{ R75}

The answer is 25 with the remainder 75

25\frac{75}{78}

You can simplify the fraction to be 25/26

25\frac{25}{26}

3 0
1 year ago
Solve for x. 2=4x-6​
77julia77 [94]

Answer:

x = 2

Step-by-step explanation:

Rewrite the equation as 4x - 6 = 2

Move all terms not containing x to the right side of the equation:

Add 6 to both sides of the equation.

4x = 2 + 6

Add 2 and 6.

4x = 8

Divide each term by 4 and simplify.

Divide each term in 4x = 8 by 4.

\frac{4x}{4} =\frac{8}{4}

Reduce the expression by cancelling the common factors.

x=\frac{8}{4}

Divide 8 by 4.

x = 2

8 0
2 years ago
According to data from a medical​ association, the rate of change in the number of hospital outpatient​ visits, in​ millions, in
GaryK [48]

Answer:

a) f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000

b) f(t=2015) = 264,034,317.7

Step-by-step explanation:

The rate of change in the number of hospital outpatient​ visits, in​ millions, is given by:

f'(t)=0.001155t(t-1980)^{0.5}

a) To find the function f(t) you integrate f(t):

\int \frac{df(t)}{dt}dt=f(t)=\int [0.001155t(t-1980)^{0.5}]dt

To solve the integral you use:

\int udv=uv-\int vdu\\\\u=t\\\\du=dt\\\\dv=(t-1980)^{1/2}dt\\\\v=\frac{2}{3}(t-1980)^{3/2}

Next, you replace in the integral:

\int t(t-1980)^{1/2}=t(\frac{2}{3}(t-1980)^{3/2})- \frac{2}{3}\int(t-1980)^{3/2}dt\\\\= \frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}+C

Then, the function f(t) is:

f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+C'

The value of C' is deduced by the information of the exercise. For t=0 there were 264,034,000 outpatient​ visits.

Hence C' = 264,034,000

The function is:

f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000

b) For t = 2015 you have:

f(t=2015)=0.001155[\frac{2}{3}(2015)(2015-1980)^{1/2}-\frac{4}{15}(2015-1980)^{5/2}]+264,034,000\\\\f(t=2015)=264,034,317.7

3 0
3 years ago
The actual answer is 144. I have the proof right here:
Soloha48 [4]

Answer:

do you need help with anything.?

Step-by-step explanation:

6 0
2 years ago
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