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alexandr402 [8]

3 years ago

12

Please help!

1 answer:

Aleks [24]3 years ago

5 0

Answer:

Probability of picking an even and then even number = $\frac{1}{6}$

Step-by-step explanation:

Probability of picking a card with even number,

P(even 1) = $\frac{\text{favorable outcomes}}{\text{Total outcomes}}$ = $\frac{\text{even cards}}{\text{Total number of cards}}$

= $\frac{2}{4}$

= $\frac{1}{2}$

Followed by picking a card which is even without putting the first card back.

So an even card is to be picked out of remaining 3 cards.

P(even 2) = $\frac{\text{favorable outcomes}}{\text{Total outcomes}}$

= $\frac{1}{3}$

Now probability of both events = P(even 1) × P(even 2)

= $\frac{1}{2}\times \frac{1}{3}$

= $\frac{1}{6}$

Therefore, probability of both the events will be $\frac{1}{6}$ .

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You have 23 1/2 pounds of blueberries to store in freezer bags. Each bag holds 3 3/4 pounds of blueberries. What is the minimum

monitta

Answer:

The minimum number of freezer bags needed to store all the blueberries is 7

Step-by-step explanation:

we know that

To find out the number of freezer bags needed , divide the total pounds of blueberries by 3 3/4, but first convert mixed number to an improper fraction

$23\frac{1}{2}\ lb=\frac{23*2+1}{2}=\frac{47}{2}\ lb$

$3\frac{3}{4}\ lb=\frac{3*4+3}{4}=\frac{15}{4}\ lb$

$\frac{47}{2}:\frac{15}{4}=\frac{47*4}{2*15} =\frac{94}{15}=6.3\ bags$

Round up

7 bags

therefore

The minimum number of freezer bags needed to store all the blueberries is 7

7 0

3 years ago

1.) What is the equation of the path of firework #1? Write your equation in general form.

valina [46]

1. I'm assumig that the paths are perfect parabolas

this means that their general forms can be written in $y=ax^2+bx+c$

it's easier to find vertex form first then expand to get general form

vertex form is $y=a(x-h)^2+k$ where the vertex is (h,k) and a is a constant

firework #1

vertex is (10,50), so (h,k)=(10,50) and h=10, k=50

$h_1=a(t-10)^2+50$

to find the value of $a$ , subsitute another point

(0,0)

$0=a(0-10)^2+50)$

$0=100a+50$

$a=\frac{-1}{2}$

so the equation in vertex form is $h_1=\frac{-1}{2}(t-10)^2+50$

expand to get general form

$h_1=\frac{-1}{2}(t^2-20t+100)+50$

$h_1=\frac{-1}{2}t^2+10t-50+50$

$h_1=\frac{-1}{2}t^2+10t$

2.

same as last time

vertex is (10,72) so (h,k)=(10,72) so h=10 and k=72

equation is $h_2=a(t-10)^2+72$

find $a$

use another point

(0,22)

$22=a(0-10)^2+72$

$22=100a+72$

$-50=100a$

$a=\frac{-1}{2}$

so the equation in vertex form is $h_2=\frac{-1}{2}(t-10)^2+72$

3.

range is the numbers that h is allowed to be

think about what h represents. it represents the height of the rocket

from the graph, we can see that the lowest possible height is 0yd and the highest height is 50yd

so range is 0 to 50 or 0≤h≤50

domain is the numbers that t is allowed to be

think about what t represents. it represents how long the rocket has been flying

it will stop flying when it hits the ground or at t=20

it starts flying at t=0

so domain is from 0 to 20 or 0≤t≤20

3 0

3 years ago

The length of each side of a square increases by 2.5 inches to form a new square with a perimeter of 70 inches. The length of ea

densk [106]

Check the picture below.

6 0

3 years ago

Which of the following expenses is not a variable cost?

Sindrei [870]

It’s rent because variables are related to the sales volume of your business

4 0

2 years ago

Read 2 more answers

In AABC, MZA = 16°, mZB = 49°, and<br> a = 4. Find c to the nearest tenth.

zhannawk [14.2K]

Answer:

(c) 13.2

Step-by-step explanation:

The sum of angles in a triangle is 180°, so angle C is ...

C = 180° -A -B

C = 180° -16° -49° = 115°

The measure of side c can be found from the Law of Sines:

c/sin(C) = a/sin(A)

c = a·sin(C)/sin(A) = 4·sin(115°)/sin(16°)

c ≈ 13.2

6 0

2 years ago