2. A dice is rolled. A card is drawn from a deck of face cards (i.e. only Jack, Queen, King of each suit). A coin is flipped. a) Draw a tree diagram to define the sample space for this game. b) You win the game if you toss tails, draw a heart, and roll an even number. Find the probability that you do not win.

Answers

Answer 1

Answer: When you roll and even number, the probability of winning is 3/6 or 1/2.
When you want to draw a heart:
The sample space is 12. That is 3 faces and 4 suits. There are 4 hearts in this deck. The probability you get a heart is 4/12 or 1/3.
When you want to toss a tail:
Sample space is 2, head and tail. You do not win if you get a heads. The probability is 1/2. The probability of winning is 1/2 * 1/3 * 1/2 = 1/12 Then the probability of losing is 1-1/12 = 11/12

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suppose that x and y very inversely and that y=8/3 when x =8, write a function that models the inverse variation and find y when x = 4

Answers

First find the constant k. For inverse variation, k=yx.
k=(8/3)*3=8
8=yx or y=8/x
8=4y
y=2
Hope this helps.

If the sales tax is 6% and the purchase price is $271, what is the amount of tax?

Answers

do .06 x 271= 16.26 and add 271+16.26.. you should get 287.26

$100\%-price\ without\ tax\n100\%+6\%=106\%-price\ with\ tax\n\n271=106\%x\n271=1.06x\ \ \ \ \ |:1.06\nx=255.66\n\n271-255.66=15.34\n\n\nTax\ is\ equal\ \$15.34$

The Emerson First National Bank is lending you money to buy a new car. The loan agreement will probably state that you must carrycar _______ insurance.

Answers

The loan-agreement will probably state that we should carry is Collision insurance.

The "Collision-Insurance" is a type of auto insurance coverage that helps cover the cost of repairs or replacement of the vehicle in case of a collision or accident, regardless of who is at fault.

This requirement is put in place to protect both you as the borrower and the lender's financial interest in the vehicle. By having collision insurance, any damages resulting from a collision can be repaired or covered, reducing the risk for both parties involved in the loan agreement.

Learn more about Insurance here

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The answers Collision.

Can someone help me plz

Answers

x=12.9 rounded
Explanation: 30/7=x/3
90=7x
90/7=12.85...
X=12.9 when rounded to nearest tenth

Linda Frankell pays $50.00 a month for group health insurance. There is a $300 deductible. Her medical bills for the last year were $2,600.00. Linda's insurance company provided payment of 80% of the bills less the deductible.What was the insurance company's payment? $

What was Linda's total cost (including the monthly premium)? $

Answers

Linda Frankell Pays $50.00 a month towards group health insurance, so for a year, that is for 12 months, her premiums would be

Linda's premiums for 12 months = $50 × 12 = $600

Deductible is the amount Linda Frankell will have to pay each year as a policy holder towards her medical expenses before the insurance company pays its share.

Amount Linda pays towards deductible = $300

Linda's medical bills = $2,600.00
The insurance company will pay 80% of the bills less the deductible, which means, the insurance company will pay 80% of the ($2,600.00 - $300 deductible = $2,300.00)

∴ Amount the insurance company pays = 80% of $2,300.00 = $1,840.00

Amount Linda has to pay towards the $2,300.00 = $2,300.00 - $1,840.00 = $460.00

Linda's total cost = Linda's 12 months premiums + $300 deductible + $460 = $600 + $300 + $460 = $1,360.00

Insurance company's payment = $1840.00
Linda's total cost = $1,360.00

What is 58,000,000,000 estimated as the product of a single digit and a power of 10?A. 5 x 10^9
B. 5 x 10^10
C. 6 x 10^9
D. 6 x 10^10

Answers

The number 58,000,000 is number that may be expressed in its scientific notation as 5.8 x 10^9. However, we are asked to answer such that the product be of single digit only. That is obtained by rounding the number 5.8 to 6. Thus, the answer is 6 x 10^9.

$The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \ 10\ and\ n\in\mathbb{Z}.\n\n5\underbrace{8,000,000,000}_(\leftarrow10)=5.8\cdot10^(10)\approx6\cdot10^(10)\to\fbox{D.}$

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