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3 years ago

Don't understand the question.

Mathematics

2 answers:

Finger [1]3 years ago

8 0

The solution is D.
From the top right & left corners drop a perpendicular line to the base forming right triangles on the right and left sides. This makes the center [art of the base 12 and the base of the triangles 7. Use the Pythagorean Theorem to find the altitude, which is the same as the height.
7^2 + b^2 = 25^2
b^2 = 25^2 - 7^2
b = 24

Doss [256]3 years ago

6 0

H=2 A/a+b try solving the problem using this formula....sorry I couldn't answer the question

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Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

So, there are approximately 853827 new cases in 6 years.

6 0

2 years ago

Debbie is running to raise money for a fundraiser. If her goal is to run 56 miles , how many days will debbie need to run if she

Nina [5.8K]

Answer:

32 days.

Step-by-step explanation:

56 / 1.75 = 56 / (7/4) = 56 * 4 / 7 = 32.

3 0

3 years ago

The wind blew away 24 of your muffins. That was 3/4 of them! How many are left?

forsale [732]

Set up a proportion:

3/4/24 = 1/x

Cross multiply:

3/4x = 24

Divide 3/4 to both sides or multiply by its reciprocal, 4/3:

x = 24 * 4/3

x = 96/3

x = 32

So you had a total of 32 muffins, now subtract this from the amount that blew away to find out how many you have left:

32 - 24 = 8

So you have 8 muffins left.

3 0

3 years ago

The College Boards, which are administered each year to many thousands of high school students, are scored so as to yield a mean

Marysya12 [62]

Answer:

a) 15.87% of the scores are expected to be greater than 600.

b) 2.28% of the scores are expected to be greater than 700.

c) 30.85% of the scores are expected to be less than 450.

d) 53.28% of the scores are expected to be between 450 and 600.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 500, \sigma = 100$