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Nadya [2.5K]
2 years ago
6

Parisian sewer #1 contains 9 fewer gigantic rats—rats as big as cats, some might say—than parisian sewer #2. parisian sewer #2 c

ontains 5 fewer gigantic rats than parisian sewer #3. if there are 56 gigantic rats in all three sewers combined, how many rats are in sewer #1?
Mathematics
1 answer:
Leya [2.2K]2 years ago
8 0

There are different kinds of math problem. There will be 11 rats in sewer #1.

<h3>What are word problem?</h3>

The term  word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.

Lets take

sewer #1 = a

sewer #2 = b

sewer #3 = c

Note that   A=B-9

So then you would have:

A=B-9

B=C- 5

A+B+C=56

Then you have to do a substitution so as to find C:

(B- 9) + (C-5) + C = 56

{ (C- 5)-9} + (C-5) + C = 56

3C - 19 = 56

3C = 75

B = C- 5

B = 25 - 5

Therefore, B = 20

A = B - 9

= 25 - 9

=11

Therefore, there are are 11 rats in sewer #1

Learn more about  Word Problems from

brainly.com/question/21405634

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Brums [2.3K]

Answer:

0.9

Step-by-step explanation:

0.7*(1.5 + y) = 3.5y - 1.47

or, (0.7*1.5) + 0.7y = 3.5y - 1.47

or, 1.05 + 1.47 = 3.5y - 0.7y

or, 2.52 = 2.8y

or, y = 2.52/2.8

or, y = 0.9

Hope this will help. Please mark me brainliest.

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Enter product in simplest form<br>1/4×7 4/5​
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Answer:

i believe the answer is 39/20 which could also be 13/7

Step-by-step explanation:

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Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is
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A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
Please hurry thank you
emmasim [6.3K]

Answer:

7.9 ft


Step-by-step explanation:

The hypotenuse is the side opposite of the right angle, hence the hypotenuse for this triangle is 11 ft.

Side x is adjacent to the angle given. So we need adjacent and we have hypotenuse. Which trigonometric ratio relates adjacent and hypotenuse? It is COSINE.

<em>Thus, we can write:</em>

cos(A)=\frac{adjacent}{hypotenuse}\\cos(44)=\frac{x}{11}

<em>Cross multiplying, we can solve for x:</em>

cos(44)=\frac{x}{11}\\x=cos(44)*11\\x=7.91


Rounding to nearest tenth, we have x=7.9 ft.

6 0
3 years ago
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