All categories

3 years ago

A jar contains blue, red, yellow, and green marbles.P(blue) = 1/4. What type of probability is illustrated and why?

1 answer:

8 0

Do you have the pic or did it not come with one and the answer is 1/4 is every color theres 4 colors and 1/4 of blue so 1/4 of red 1/4 of yellow 1/4 green hope this helps

You might be interested in

Tim has $20 to buy snacks for 12 people in an office. Each person will get one snack. Tim is buying bags of pretzels that cost $

Greeley [361]

Answer:

8 bags of pretzels

Step-by-step explanation:

Let x represent the number of bags of pretzels Tim buys. We assume he spends exactly $20 on exactly 12 bags of snack food. Then his purchase is ...

1.50x + 2.00(12-x) = 20.00

-0.50x +24.00 = 20.00 . . . eliminate parentheses, collect terms

-0.50x = -4.00 . . . . . . . . . . .subtract 24

x = 8 . . . . . . . . . . divide by -0.50

Tim will buy 8 bags of pretzels.

4 0

3 years ago

Which pair of polygons is congruent?

erik [133]

Answer:

Step-by-step explanation:

Polygon 3 and 5 are congruent cause they have the same length of side

4 0

3 years ago

A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate,

Ratling [72]

Answer: 14 miles ≤ D ≤ 22 miles.

Step-by-step explanation:

The mean distance traveled per gallon, is 18 miles.

But this can fluctuate, at most, by 4 miles.

Because we have here the "at most", we know that we should use the ≤, ≥ symbols.

Then, if the mean is 18mi, the range of possible distances traveled per gallon is:

(18 miles - 4 miles) ≤ D ≤ (18 miles + 4 miles)

Where D is the distance.

14 miles ≤ D ≤ 22 miles.

So the truck can get between 14 miles and 22 miles per gallon on the highway.

4 0

3 years ago

Perform the indicated operations; reduce the answer to lowest terms.

kow [346]

a. 9/10

explanation:

• the denominators (bottom number) are the same so there is no need to change to a common factor

• because the fractions have common factors, you add the top numbers (3+6) to get 9

• then you put the top number over the 10 (9/10) and it’s simplified as much as possible

b. 3/4

explanation:

• each denominator (bottom term) is a factor of 12 so you have to change each fraction to #/12

• to change 1/3, you multiply the top and bottom numbers by 4 (1x4 & 3x4 = 4/12)

• to change 1/4, you multiply the top and bottom numbers by 3 (1x3 & 4x3 = 3/12)

• to change 1/6, you multiple the top and bottom numbers by 2 (1x2 & 6x2 = 2/12)

• then you add each of the top numbers (4+3+2) and put it over the common denominator (12) to get 9/12

- both 9 & 12 are divisible by 3, so you simply by dividing both by 3 to get 3/4

c. 1/3

explanation:

•the denominators are the same, so you subtract 5-3 without changing the denominator & you get 2/6

• then, because both numbers are divisible by 2, you divide both by 2 and get 1/3

3 0

3 years ago

A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par

sasho [114]

The velocity of the particle is given by

$v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du$

Since $a(t)=-4\sin2t$ and $v(0)=7$ , we get

$\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2$

$\implies v(t)=2\cos2t+5$

Similarly, the position function is obtained via

$x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du$

We know $v(t)$ and we're told that $x(0)=0$ , so

$\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t$

$\implies x(t)=\sin2t+5t$

making the answer A.

3 0

3 years ago