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vodka [1.7K]
3 years ago
5

Complete the sentences. The area of the pyramid’s base is in.2. The pyramid has lateral faces. The surface area of each lateral

face is in.2. The total surface area is 144 in.2. WILL MARK BRAINLIEST!!!

Mathematics
2 answers:
Nostrana [21]3 years ago
4 0

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.  

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"Lateral" means side, so the lateral faces are triangles.

The base is the bottom, which is a square.

To calculate the area of the base, use the formula for area of a square.

To calculate the area of a lateral face, find the area of a triangle.

In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.

Nitella [24]3 years ago
3 0

Answer:

Step-by-step explanation:

The area of the pyramid's base is 36 square inches.

  • Area of base = s*s = 6*6 = 36

The pyramid has 4 lateral faces.

  • Count how many non-bases there are.

The surface area of each lateral face is 18 square inches.

  • Area of lateral face = 1/2 b*h = 1/2 9*6 = 18
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A study found that a factory produces 6 defective computers for every 500 computers that are produced. On the average, what perc
masya89 [10]

Answer:

1.2%

Step-by-step explanation:

We know that for every 500 computers, 6 are defective. So, to know what percentage of computers are defective on average, we can do a rule of three:

500 computers -> 6 defective

100 computers -> X defective

500/100 = 6/X

X = 100 * 6 / 500 = 1.2

So, in average, for every 100 computers, 1.2 are defective, so the percentage is 1.2% (1.2 for every 100)

6 0
3 years ago
an outdoor deck is 7 feet wide the perimeter of the deck is 64 feet what is the length of the deck use the numbers to write an e
ycow [4]
Answer: 25

Equation:
2(7)+2(x)=64
14+2x=64
2x=64
X=25

Hope this helps :)
5 0
3 years ago
Liz got home from school at 4:33. She decided to bake muffins as an after-school snack. It took Liz 55 minutes to prepare and ba
IgorC [24]

Answer:

The muffins were done at 5:28

Step-by-step explanation:

you add 4:33 to 55 minutes knowing well that 60mins makes one hour

4:33

55

5:28

6 0
2 years ago
A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o
Mandarinka [93]

Answer:

(a) Null Hypothesis, H_0 : \mu = 22 ounces  

    Alternate Hypothesis, H_A : \mu\neq 22 ounces

(b) The value of the test statistic is -2.687.

(c) The critical values are -1.96 and 1.96.

(d) We conclude that Reject H_0 since the value of the test statistic is less than the negative critical value.

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle.

He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

<em>Let </em>\mu<em> = average ounces of passion fruit juice used to fill each bottle.</em>

(a) So, Null Hypothesis, H_0 : \mu = 22 ounces     {means that the average of 22 ounces of passion fruit juice is used to fill each bottle}

Alternate Hypothesis, H_A : \mu\neq 22 ounces     {means that the average different from 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                        T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean weight of the passion fruit juice = 21.54 ounces

            \sigma = population standard deviation = 1.38 ounce

            n = sample of bottles = 65

So, <u><em>test statistics</em></u>  =  \frac{21.54-22}{\frac{1.38}{\sqrt{65} } }  

                               =  -2.687

(b) The value of z test statistics is -2.687.

(c) Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

<em>Since our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that Reject H_0 since the value of the test statistic is less than the negative critical value which means that the average different from 22 ounces of passion fruit juice is used to fill each bottle.

6 0
3 years ago
There are four red ,four blue, and two green marbles in a bag .if one marble is chosen at random from the bag what is the probab
mina [271]

Answer:

There is a 20% probablity that the marble will be green :)

Step-by-step explanation:

  • There are a total of 10 marbles in the bag. 4 red+4 blue+ 2green=10
  • There are two green marbles out of the 10 marbles.  2/10
  • 2 divided by 10 is .20 or 20%
  • Therefore, there is a 20% probability that the marble will be green.
7 0
2 years ago
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