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2 years ago

4. Yvonne poid $18.72 for 8 gallons of gas. She

Mathematics

1 answer:

aniked [119]2 years ago

3 0

Answer:

About 40 cents?

Step-by-step explanation:

2.29×8=18.32

18.72-0.4=18.32

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7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random

Korvikt [17]

Answer:

0.9646 ; 0.5685

Step-by-step explanation:

Given that :

P(obtaining 3 on a die roll) = 1/6 = 0.1667

Obtaining 3 at most 2 times in five trials

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

n = 5 ;, p = 0.1667

P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)

Using the binomial probability :

P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608

P(x ≤ 2) = 0.9646

B.) using geometric distribution :

(1 - p)^x-1 * p

P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)

1 - (0.1667 + 0.1157+0.0965+0.0804)

= 0.5685

8 0

2 years ago

Rachael is 5 ft 6 in tall . She notices that her shadow is 4 ft long and the shadow of a nearby water tower is 100 ft long . Wha

Nimfa-mama [501]

5.5/4=x/100
4x=550
x=137.5

the water tower is 137 ft. 6 in. tall.

3 0

2 years ago

What is the interest rate of each investment if The annual interest on a $17,000 investment exceeds the interest earned on an $8

Butoxors [25]

<u>Solution-</u>

Let's assume, the rate of interest of $8000 is x%,

then the rate of interest of $17000 is (x+0.3x) =1.3x%

Interest earned by $8000,

$i_1=\frac{8000\times x\times 1}{100} =80x$

Interest earned by $17,000,

$i_2=\frac{17000\times 1.3x\times 1}{100} =221x$

According to the question,

$\Rightarrow i_1=i_2+276$

$\Rightarrow 221x=80x+276$

$\Rightarrow 221x-80x=276$

$\Rightarrow 141x=276$

$\Rightarrow x=1.96$

∴ Rate of interest of $8000 is 1.96% and rate of interest of $17000 is (1.3×1.96) =2.55%

3 0

2 years ago

Mr. Weiler has 32 students in his class he wishes to place them into 8 groups of equal size. Which of the following represents t

SCORPION-xisa [38]

option 4: 4

8x4=32

hope it helps

8 0

2 years ago

Read 2 more answers

A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation i

velikii [3]

Answer: One tail test.

Step-by-step explanation:

Given : A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3.

Also, The set of hypothesis to conduct a test :-

$H_0:\mu\leq10\\\\H_1:\mu>10$

The kind of test need to perform is dependent upon the alternative hypothesis.

Since, the alternative hypothesis is one tailed (right-tailed), so the test is one tail test.

5 0

3 years ago