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3 years ago

3^-1 ___ 1/4 = < > answer thanks

Mathematics

1 answer:

dybincka [34]3 years ago

6 0

3⁻¹ is <u>greater than </u>1/4

<u>Step-by-step explanation:</u>

3⁻¹ is nothing but the inverse of 3 .

So it can be written as 1/3.

Value of 1/3 can be found by dividing 1 by 3 to be 0.333...

Value of 1/4 can be found by dividing 1 by 4 to be 0.25

So 0.333 > 0.25

1/3 > 1/4

∴ 3⁻¹ > 1/4

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Find f(-9) when f(x) = |x|- 6.

san4es73 [151]

Answer: f(x) = 3

Step-by-step explanation:

f(x) = |-9| - 6

f(x) = 9 - 6

f(x) = 3

6 0

2 years ago

Read 2 more answers

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturd

mestny [16]

Answer:

1) $P(X = 8) = 0.1033$

$P(X = 9) = 0.0688$

2) Expected number of 200 restaurants in which exactly 8 customers use the drive-through: 20.66

Expected number of 200 restaurants in which exactly 9 customers use the drive-through: 13.76

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

Question 1. Use the Poisson distribution to calculate the probability that exactly 8 cars will use the drive-through between 12:00 midnight and 12:30 AM on a Saturday night at Wendy's. Do the same for exactly 9 cars.

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturday nights. This means that during 30 minutes, 6 cars expected to arrive. So $\mu = 6$ .

P(X = 8)

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 8) = \frac{e^{-6}*(6)^{8}}{(8)!} = 0.1033$

P(X = 9)

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 9) = \frac{e^{-6}*(6)^{9}}{(9)!} = 0.0688$

Question 2. At how many of the 200 restaurants in the survey would you expect exactly 8 customers to use the drive-through? exactly 9 customers?

There is a 10.33 probability that 8 customers would use the drive through for each restaurant.

So of 200, the expected number is

$E(X) = 200*0.1033 = 20.66$

There is a 6.88 probability that 9 customers would use the drive through for each restaurant.

So of 200, the expected number is

$E(X) = 200*0.0688 = 13.76$

8 0

3 years ago

Please help! Will give brainliest, pls no fake answers or links. :)

CaHeK987 [17]

6 x 6 =
The cube has 6 sides and each side is 6 inches so it’s 6 x 6 = 36 inches
10 feet = 120 inches + 30 inches = 150 inches
No she won’t have enough for all 6 boxes

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2 years ago

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In which situation could the quotient of -24 divided by 3 be used to answer the question?

tresset_1 [31]

The situation in which the quotient of -24 divided by 3 be used to answer the question is;

Julia withdrew a total of $24 from her bank account over 3 days. She withdrew the same amount each day. By how much did the amount in her bank account change each day?

<h3>Algebra</h3>

Check all options:

A. The temperature of a substance decreased by 24∘C per minute for 3 minutes. What was the overall change of the temperature of the substance?

Temperature decrease = 24°C per minutes × 3 minutes

= 72°C decrease in temperature

B. A football team lost 24 yards on one play, then gained 3 yards on the next play. How many total yards did the team gain on the two plays?

Loss = -24 yards

Gain = 3 yards

Total gain = -24 + 3

= -21 yards

C. Julia withdrew a total of $24 from her bank account over 3 days. She withdrew the same amount each day. By how much did the amount in her bank account change each day?

Amount withdrawn per day = -$24 / 3

= -$8 per day

Change in her account per day = $8

D. A cookie jar contains 24 cookies. Each child receives 3 cookies. How many children are there?

Number of children = 24 cookies / 3 cookies

= 8 cookies per children

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2 years ago

What is the vertex of function f(x)=(x-3)(x+5)?

butalik [34]

Answer:

( − 1 , − 16 )

Step-by-step explanation:

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2 years ago