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Paladinen [302]
3 years ago
6

Which is a better deal a 16 inch diameter pizza for $12.99 or a 8 inch diameter pizza for $6

Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0

Answer:

the 8 inch

Step-by-step explanation:

12.99/2 > 6

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A circle is inscribed in an equilateral triangle with a side length measuring 10 mm.
Tamiku [17]
For side length s the area of the triangle is
.. A = (√3)/4*s^2
The radius of the circle will be
.. r = s/(2√3)
so the area of the circle is
.. A = π*r^2 = π*s^2/12

The fraction of the triangle that is not in the circle is
.. 1 - (π/12)/((√3)/4)
.. = 1 -π/(3√3)
.. ≈ 39.54%
8 0
3 years ago
Find the area of a triangle with a base length of 4 units and a height of 5 units. (1 point) 8 square units 9 square units 10 sq
SVETLANKA909090 [29]

Answer:

10 square units

Step-by-step explanation:

Because to get the area of a triangle you cut the base length in half then multiply it by the height, in this case 2.5*4 = 10 square units

5 0
3 years ago
Read 2 more answers
Help me solve this please
coldgirl [10]
"Simple interest" means the interest goes into a separate bucket, and
it just waits there for you to come and get it.  It <em><u>doesn't</u></em> get added to the
amount in the account, so next year, you don't get interest on the interest.

4 percent of $2000 is  (0.04 x 2000) = $80 .

That's how much interest you get each year.

At the end of 4 years, you have (4 x $80) = <u>$320</u> in the interest bucket.
(And of course, you still have the original $2000 in the account.)
5 0
3 years ago
Read 2 more answers
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true
kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 276, p = 0.06

So

\mu = E(X) = np = 276*0.06 = 16.56

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{276*0.06*0.94} = 3.9454

What is the probability that the sample proportion will be less than 0.1

This is the pvalue of Z when X = 0.1*276 = 27.6. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{27.6 - 16.56}{3.9454}

Z = 2.8

Z = 2.8 has a pvalue of 0.9974

99.74% probability that the sample proportion will be less than 0.1

5 0
3 years ago
Is -6/11 a irrational number?
Harlamova29_29 [7]

Answer:

No

Step-by-step explanation:

One way to tell if a number is rational is if it can be written as a fraction. Anything that can be written as a fraction of two integers is rational.

-6/11 is a fraction with integer numerators and denominators.

Therefore it is rational.

4 0
3 years ago
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