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Afina-wow [57]
3 years ago
7

You are dealt one card from a ​52-card deck. find the probability that you are dealt a numbered card or a heart. ​ (note: a numb

ered card is a card with a value from 2 to​ 10.)
Mathematics
1 answer:
Katarina [22]3 years ago
6 0

|\Omega|=52\\ |A|=\underbrace{40}_{\text{numbered cards}}+\underbrace{13}_{\text{hearts}}-\underbrace{10}_{\text{numbered hearts}}=43\\\\ P(A)=\dfrac{43}{52}\approx83\%

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In an election the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes by what margin di
Sav [38]

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

8 0
2 years ago
PLEASE HELP 50 points
hoa [83]

Answer:

r > 7 (C)

Step-by-step explanation:

3r−7>14

Step 1: Add 7 to both sides.

3r−7+7>14+7

3r>21

Step 2: Divide both sides by 3.

3r

3

>

21

3

r>7

Hope this helps and makes sense!! Good luck and have a wonderful day! <33

Imagine this < as a alligater and itś eating the greater number!!

8 0
2 years ago
Read 2 more answers
What is the equation of the linear function written in slope-intercept form?
-Dominant- [34]

Answer:

<h2>f(x) = -3x - 1</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

f(x)=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept, (0, b)</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have two points <em>A(-1, 2)</em> and <em>B(0, -1) → b = -1</em>.

Calculate the slope:

m=\dfrac{-1-2}{0-(-1)}=\dfrac{-3}{1}=-3

Finally:

f(x)=-3x-1

3 0
3 years ago
A cone with a diameter of 12 inches has a volume of 640.88 cubic inches. find the height of the cone
BlackZzzverrR [31]

Answer:

The height of the cone is 17\ in

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2}h

In this problem we have

r=12/2=6\ in ----> the radius is half the diameter

V=640.88\ in^{3}

assume \pi=3.14

substitute the values and solve for h

640.88=\frac{1}{3}(3.14)(6)^{2}h

h=640.88*3/((3.14)(36))=17\ in

8 0
2 years ago
Solve . (5 points) Question 5 options: 1) −20 2) −24 3) 20 4) 24
e-lub [12.9K]

Answer:

18 21 24 24 =87 maybe trying to help

8 0
3 years ago
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