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3 years ago

Express each percent as a fraction or mixed number in the simplest form. 2.5%

Mathematics

2 answers:

mars1129 [50]3 years ago

8 0

Answer:

$\frac{1}{40}$

Step-by-step explanation:

Percent means a number over 100. $\frac{2.5}{100}$

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is one number to the right of the decimal point, move the decimal point one place to the right. $\frac{25}{1000}$

Cancel the common factor of 25 and 1000. $\frac{1}{40}$

Blizzard [7]3 years ago

6 0

Answer:

The answer is 2 1/2 or in mixed form 5/2

Hope I helped :)

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Jasmine has $26 to spend on binders and pens. The pack of pens cost $4.75. Each binder costs $5. Write an inequality to determin

Elenna [48]

Answer

(5 x B) + 4.75 ≤ 26

B is the amount of binders.

5 0

3 years ago

6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

I really need help asap!!

Firdavs [7]

Given:

A figure of a parallelogram.

The vertex angles are $(12b+8)^\circ,(5b+2)^\circ,2a^\circ$ .

To find:

The values of a and b.

Solution:

We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.

$(12b+8)^\circ+(5b+2)^\circ=180^\circ$ (Supplementary angles)

$(17b+10)^\circ=180^\circ$

$17b+10=180$

Subtract 10 from both sides.

$17b=180-10$

$17b=170$

Divide both sides by 17.

$b=\dfrac{170}{17}$

$b=10$

Now,

$(5b+2)^\circ=(5(10)+2)^\circ$

$(5b+2)^\circ=(50+2)^\circ$

$(5b+2)^\circ=52^\circ$

And,

$(5b+2)^\circ+2a^\circ=180^\circ$ (Supplementary angles)

$52^\circ+2a^\circ=180^\circ$

$2a^\circ=180^\circ-52^\circ$

$2a^\circ=128^\circ$

Divide both sides by 2.

$a^\circ=\dfrac{128^\circ}{2}$

$a^\circ=64^\circ$

$a=64$

Therefore, the value of a is 64 and the value of b is 10.

5 0

3 years ago

PLEASE HELP SHOW YOUR WORKING OUT Branliest

Ad libitum [116K]

Answer:

The equation of this line is therefore y = 2x + 3.

Step-by-step explanation:

this line passes thru the points (0, 3) and (3, 9). As we move from (0, 3) to (3, 9), x increases by 3 and y increases by 6. Thus, the slope of this line is

m = rise / run = 6/3, or m = 2. Inserting the known info (m = 2, x = 0, y = 3) into y = mx + b, we get: 3 = 2(0) + b, so we see that b = 3.

The equation of this line is therefore y = 2x + 3.

5 0

3 years ago

Pls help I really need it ASAP

gtnhenbr [62]

Answer:

0, -1 for part A -1,-9 for part B

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers