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3 years ago

An item selling for $1102 is reduced to $806. To the nearest whole, what is the percent decrease?

Mathematics

2 answers:

Nata [24]3 years ago

8 0

The answer is 296. Hope this helps:)

jenyasd209 [6]3 years ago

4 0

The 26% decrease would be $1102-$287 which equals $815 while a 27% decrease would be $1102-$298 which also doesn't equal $806. So therefore, the answer is 26.9%because that would equal $1102-$296 which equals $806.

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student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te

alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = $\frac{1}{4}$ .

Thus, the probability that the student does not receive version A = $1-\frac{1}{4}$ = $\frac{3}{4}$ .

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

$\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}$

= $(\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5$

= $(\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]$

= $(\frac{3}{4^4})[1+\frac{1}{16}]$

= $(\frac{3}{256})[\frac{17}{16}]$

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0

3 years ago

What is 3 less than -2

Anastasy [175]

-2 - 3 = -5
The answer is negative 5.

4 0

3 years ago

ILL GIVE U STUFFFFF PLZZZZZZZZZZZ ANSWER ITTTTTTTTT

belka [17]

Answer:

Slope: $-\frac{3}{4}$

Y-intercept: 399

Slope-intercept form: $y=-\frac{3}{4}x+399$

Step-by-step explanation:

1. The equation in Standard form is given in the problem:

$3y+4y=1596$

2. Then, to write the equation of the line in slope-intercept form $y=mx+b$ , where m is the slope and b is the y-intercept, you must solve for y as you can see below:

$4y=-3x+1596\\y=\frac{-3x+1596}{4}\\y=-\frac{3}{4}x+399$

3. Therefore, the slope and the y-intercept are:

$m=-\frac{3}{4}\\b=399$

5 0

3 years ago

Find the area of a parallelogram with the given vertices. P(-2, -5), Q(9, -5), R(1, 5), S(12, 5)

valentina_108 [34]

Answer:

The area of the parallelogram is 55 square unit.

Step-by-step explanation:

The area of a parallelogram is

$A=\frac{1}{2}\times base\times height$

It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).

Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.

From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is

$A=\frac{1}{2}\times 11\times 10$

$A=55$

Therefore the area of the parallelogram is 55 square unit.

4 0

3 years ago

Rewrite each of the following statements in the form "∀ _____ x, _____." (a) All dinosaurs are extinct. ∀ x, . (b) Every real nu

jasenka [17]

Answer:

See below

Step-by-step explanation:

Essentially, we have to replace "quantifier words" like "All", "Every" by the universal quantifier ∀.

a) ∀ dinosaur x, x is extinct.

b) ∀ real number x, x is positive, negative, or zero.

c) ∀ irrational number x, x is not an integer.

d) ∀ logician x, x is not lazy.

e) ∀ integer x, x²≠ 2,147,581,953.

f) ∀ real number x, x²≠ -1.

In a) and b) we replace the words without major changes. In the other statements, we modify the statement using negation. For example, "No irrational numbers are integers." is equivalent to "Every irrational number is not integer".

8 0

3 years ago