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sesenic [268]
3 years ago
9

can someone help me to solve the first problem only please I will mark you the brainly helpful answers pls!

Mathematics
1 answer:
swat323 years ago
3 0

Answer:

When 2 lines are parallel, the sum of interior corresponding angles = 180

120 + b = 180

b = 180 - 120 = 60

a + 30 = 180

a = 180 - 30 = 150

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A recent kellogg survey shows that approximately 34% of americans eat breakfast. suppose alex takes a random sample of four amer
vlabodo [156]

This kind of experiments are ruled by Bernoulli's formula. If you have probability p of "success", and you want k successes in n trials, the probability is


\binom{n}{k}p^k(1-p)^{n-k}


It's easier to compute the first probability by difference: instead of computing the probability of the event "at least one of the surveyed eats breakfast", let's compute the probability of its contrary: none of them eats breakfast. So, we want 0 successes in 4 trials, with probability of success 0.34. The formula yields


\binom{4}{0} 0.34^0 0.64^4 = 0.64^4 \approx 0.17 = 17\%


Since the contrary has probability 17%, our event "at least one of the surveyed eats breakfast" has probability 83%.


As for the second question, the event "at least three of the surveyed eats breakfast" is the union of the events "exactly three of the surveyed eats breakfast" and "exactly four of the surveyed eats breakfast". So, we just need to sum their probabilities:


\binom{4}{3} 0.34^3 0.64^1 +\binom{4}{4} 0.34^4 0.64^0 = 4\cdot  0.34^3 0.64 + 0.34^4 \approx 0.11 = 11\%

3 0
3 years ago
Fast forward a few years...and suppose you need to get your car repaired. You see the ads above. Your father, who knows a bit ab
katovenus [111]

Mikes repair shop $100 service charge plus $65 per hour Amys auto repair $40 service charge plus $80 per hour write an equation for each repair shop to represent the total cost of a car repair as a function of the number of hours worked let C = total cost to you let h = number of hours worked. Suppose you need to get the dent in your car repaired you see the ads above in the newspaper your father who knows a bit about cars said it would take no more than 3 hours for the repair person to fix your car how do you determine where you should take your car to get it repaired

-Mike Cost:: M(3) = 100 +65*3 = $295

-Amy Cost:: A(3) = 40 + 80*3 = $280

------------------------------------------------------------

-Mike charges 100 dollars service charge plus 65 dollars per hour.

-Amy charges 40 dollars service charge plus 80 dollars per hour.

-The cost to repair from mike is 100 + 65 * x.

-The cost to repair from amy is 40 + 80 * x.

------------------------------------------------------------

Let x = 3 and you get:

The cost to repair from mike is 100 + 65 * 3 = 295 dollars.

The cost to repaid from amy is 40 + 80 * 3 = 280 dollars.

As long as the time to repair is 3 hours or less, the cost to repair will be cheaper from Amy.

8 0
3 years ago
Write the word sentence as an equation.
irinina [24]

Answer:

b - 9 = 2 I believe would be it

4 0
3 years ago
Read 2 more answers
HELP PLEASE!!!! I ONLY HAVE 3 MORE MATH RIDDLES LEFT!!!!
Mariulka [41]

Answer:

97

Explanation:

Buddy- 6

Hermey-3

____________________________________________________________

It takes Buddy 94 years to be 100 so you would add 94 to both boys ages!

6+94=100 years old!

3+94= 97 years old!

3 0
3 years ago
Read 2 more answers
The diameter of a circle is 15 cm. Find its area to the nearest whole number.
xxTIMURxx [149]

Answer:

177 square cm

Step-by-step explanation:

The radius is half the diameter, so r=7.5 cm. Substituting into the formula for the area of a circle, A=\pi r^2=\pi(7.5)^2 \approx 177 square cm.

4 0
2 years ago
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