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Talja [164]
3 years ago
10

Can someone help me with this math question?

Mathematics
1 answer:
ratelena [41]3 years ago
5 0

Write an equation in the form "y = mx + b" using the following information about the question:

Slope of the equation: 0

Y-intercept of the equation: 8

Use x as the independent variable.

This is an example of slope-intercept form.

m = slope (m = 0)

b = y-intercept (b = 8)

y = 0x + 8 → y = 8

We can write the final equation as: y = 8

Best of Luck!

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Find the median of the following set of data:
Troyanec [42]

Answer:

b

Step-by-step explanation:

The median is the middle value of the data set in ascending order. If there is no exact middle value then it is the average of the values either side of the middle.

Arrange the data in ascending order

48, 52, 54, 57, 57, 57, 61, 61, 65

                          ↑

The median of the data set is 57 → b

3 0
3 years ago
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
frosja888 [35]

Answer:

256π/3 cm³

Step-by-step explanation:

d = 2r => r = d/2 = 4cm/2 = 2 cm

V(sphere) = 4π·r³/3

= 4π·64/3 cm³

= 256π/3 cm³

7 0
3 years ago
Question 1. 50+50=?<br> Question 2. 150+150=?
Mademuasel [1]

Answer:

1 100

2 300

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1
svet-max [94.6K]

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions 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.

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.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that \mu = 8, \sigma = 1.1

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

n = 5 means that s = \frac{1.1}{\sqrt{5}} = 0.4919

This probability is the pvalue of Z when X = 9.3. So

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

By the Central Limit Theorem

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

Z = \frac{9.3 - 8}{0.4919}

Z = 2.64

Z = 2.64 has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

n = 6 means that s = \frac{1.1}{\sqrt{6}} = 0.4491

This probability is 1 subtracted by the pvalue of Z when X = 9. So

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

Z = \frac{9 - 8}{0.4491}

Z = 2.23

Z = 2.23 has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

8 0
3 years ago
Can you help I have tried 4 times
docker41 [41]

Answer:

5120oz/12=426.667 ounces.

Step-by-step explanation:

We know 1 pound = 16 oz. If we want to find out how many ounces are in 320 lbs, we must multiply 16 by 320 = 5120 ounces. Now we must divide by 12 to see how much she ate per month. 5120 divided by 12 is 426.667 or 426 and 2/3 ounces per month.

Alternatively, we can set up a proportion 1 lb / 16 ounces = 320 lb / x ounces. We cross multiply 1 times x = 320 times 15. On the left hand side we just have x and on the right hand side we get 5120. Hence, x=5120 ounces per year. To find how many she ate per month we must divide by 12 since there are 12 months in a year. So it comes out to 426 and 2/3 ounces per month.

 

Here are the equations: (1lb)(320lb)=(16oz)(320oz) implies 320lb=5120oz. Then divide 5120oz 12 to get how much she ate per month: 5120oz/12=426.667 ounces.

7 0
3 years ago
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