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jenyasd209 [6]
3 years ago
10

Work out the surface area of the solid cuboid. The diagram is not drawn to scale.

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
7 0

Answer

surface \ area = 2( lb + bh+hl) = 2(6 + 12 + 8) =2*26 = 52cm^2

Phoenix [80]3 years ago
5 0

Answer:

52 cm^2.

Step-by-step explanation:

SA = 2 (2*3 + 3*4 * 2*4)

= 2 * 26

= 52 cm^2.

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A triangular pyramid has a right triangle for its base. The perpendicular sides of the triangle are 10 inches and 18 inches long
igor_vitrenko [27]
The formula for a triangular pyramid is 1/3AH. A is the area of the base. H is the height of the pyramid. So to find the area of a right triangle, you would use the formula (a x b)/2. So (10 x18)/2 is 90 inches^2. Now you can fill in the first formula. 1/3(90 x 14), which equals 420 inches^3. I hope you find this helpful (if correct.)
6 0
3 years ago
Shania had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost?
kogti [31]

Answer:

$2

Step-by-step explanation:

Total money Shania was having = $20.

After buying raffle tickets she was having a total of $6.

Thus ,

The money she spent on the raffle tickets = Money she was having initially -

                                                                         Money she was having after

                                                                         purchasing tickets .

                                                                 = $20 - $6

                                                                 = $14.

Thus She spent a total of $14 on tickets .

Now , number of tickets she bought = 7.

So, cost of each ticket = \frac{Money spent}{Number of tickets} = \frac{14}{7}

                                                          = $2.

Thus , each ticket costs $2 for Shania.

7 0
3 years ago
Find the circumference of a circle with a radius of
Debora [2.8K]

Answer:

What is the radius???

5 0
3 years ago
A local university produces a study in which it chose 1000 students to participate the study asked each student to write down th
IgorLugansk [536]
A. Randomization
The selection is based on random selection
6 0
3 years ago
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
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