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3 years ago

Lin runs 5 laps around a track in 6 minutes If Lin runs 21 laps at the same rate, how long does it take her

Mathematics

1 answer:

nydimaria [60]3 years ago

4 0

Answer:

It would take her 25.2 minutes

Step-by-step explanation:

6 divided by 5 gives you the 1.2 minutes

Then I would do 1.2 minutes for each lap * 21 laps = 25.2 minutes

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ASAP: Four cards are chosen from tens, jacks, queens and aces . What is the probability that there are at least three queens?

olasank [31]

Answer:

1 out of 4

Step-by-step explanation:

4 0

3 years ago

Explain the different ways it is possible to add two rational numbers and get a negative number.

Eduardwww [97]

Answer:

both numbers are negative

negative number is greater than the positive number

Step-by-step explanation:

In order to add two rational numbers and get a negative value, one of two scenarios should occur:

1- both numbers are negative.

2- negative number is greater than the positive number

3 0

3 years ago

The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, $Z_{Critical}=1.645$ .

We also know that E=5% or E=0.05

Also, since, $\hat{p}$ is not given, we will assume that $\hat{p}$ =0.5. This is because, the formula that we use will have $\hat{p}(1-\hat{p})$ in the expression and that will be maximum only when $\hat{p}$ =0.5. (For any other value of $\hat{p}$ , we will get a value less than 0.25. For example if, $\hat{p}$ is 0.4, then $1-\hat{p}=0.6$ and thus, $\hat{p}(1-\hat{p})=0.24$ .).

We will now use the formula

$n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})$

We will now substitute all the data that we have and we will get

$n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)$

$n=(32.9)^2\times0.25$

$n=270.6025$

which can approximated to n=271.

So, the brand manager needs a sample size of 271

3 0

3 years ago

Tax is paid on meals in a restaurant.

liberstina [14]

Answer:

17.52%

Step-by-step explanation:

65.35/11.45 = 0.1752

.1752 * 100

= 17.52

4 0

3 years ago

What are the zeros of the polynomial function f(x) = x^3-10x^2+24x

Ludmilka [50]

Replace F(x) with y
y=x^3-10x^2+24x
To find the roots replace y with 0.
0=x^3-10x^2-24x
Rewrite the equation as
x^3-10x^2+24x=0
Factor the left side
x(x-6)(x-4)=0
The solution is a result of
x=0, x-6=0, and x-4=0

The answer is:
x=0, 6, 4

3 0

3 years ago