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Katarina [22]
3 years ago
5

there are six female goldfish for every 10 male goldfish in the aquarium at the office there are 216 female goldfish in the aqua

rium how many male goldfish are in the aquarium.
Mathematics
1 answer:
aalyn [17]3 years ago
3 0

Answer:

60 males in the aquarium

Step-by-step explanation:

It is a ratio problem. The ratio of female goldfish to male goldrish is 6:10. If you divide 216 (females) by 6 (females), you get 36. If you multiply 10 times 6, you get 60. So, the ratio turns into 216: 60. So, there are 60 males in the aquarium.

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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters,
FinnZ [79.3K]

Answer:

0.4010 = 40.10% probability that the sample mean would differ from the population mean by more than 0.8 millimeters

Step-by-step explanation:

To solve this question, we need to understan the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 139, \sigma = 6, n = 40, s = \frac{6}{\sqrt{40}} = 0.9487

Either the sample mean differs by 0.8 mm or less from the population mean, or it differs by more. The sum of these probabilities is decimal 1.

Probability it differs by less than 0.8mm

pvalue of Z when X = 139 + 0.8 = 139.8mm subtracted by the pvalue of Z when X = 139 - 0.8 = 138.2 mm

X = 139.8

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

By the Central Limit Theorem

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

Z = \frac{139.8 - 139}{0.9487}

Z = 0.84

Z = 0.84 has a pvalue of 0.7995

X = 138.2

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

Z = \frac{138.2 - 139}{0.9487}

Z = -0.84

Z = -0.84 has a pvalue of 0.2005

0.7995 - 0.2005 = 0.5990

What is the probability that the sample mean would differ from the population mean by more than 0.8 millimeters?

p + 0.5990 = 0.4010

0.4010 = 40.10% probability that the sample mean would differ from the population mean by more than 0.8 millimeters

7 0
3 years ago
Using the approximation 3.14 for pi​, what is the radius of a circle with circumference 69.1 ​m?
Nat2105 [25]

Answer:

11.0

Step-by-step explanation:

Circumfrence = 2 x pi x r.

making radius, r the subject of relation, you.get 11.003184713

7 0
3 years ago
Read 2 more answers
Compute: 3/8 divided -0.25
Makovka662 [10]

Answer:

-1.5

Step-by-step explanation:

3/8 is 0.375 in decimal form

3 0
2 years ago
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The relationship between the number of pencils and the number of pens in Sophie’s pencil case can be represented using the ratio
tekilochka [14]

ratio of 6:10, if you divide both numbers by 2 you get a ratio of 3:5

multiply by 2 you get 12:20

multiply by 1.5 you get 9:15


D is not equivalent




4 0
3 years ago
Use the elimination method to solve the system of equations.<br><br>3x-5y= -16<br><br>2x+5y=31
Sholpan [36]
5x = 15
x = 3

3(3) - 5y = -16
9 - 5y = -16
5y = -16 - 9
5y = - 25
y = - 5

(3, -5)
8 0
3 years ago
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