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SVEN [57.7K]
3 years ago
12

What is the lateral area formula for a square pyramid

Mathematics
2 answers:
Andru [333]3 years ago
6 0

Answer:

The formula for a lateral area formula of a square pyramid:

2a√((a^2/4)+h^2)

a = is the base

h = height of triangle

k0ka [10]3 years ago
4 0

Answer:

AL=aa2+4h2

IS the formula for square pyramid.

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Multiply using a special product formula <br>(5x-6)(5x+6)=□ (Simplify Your Answer)
Kryger [21]
<span>(5x-6)(5x+6)
= (5x)^2 -  6^2
= 25x^2 - 36</span>
4 0
3 years ago
Read 2 more answers
The researchers are concerned that the dollars spent per shopper examined in the study is too different from what has been found
Katarina [22]

Answer:

Step-by-step explanation:

Hello!

To study if the average dollars spend per shopper is different than the expected population average of $84.5 there was a sample of 120 shoppers taken and their spending habit registered.

Then the study variable is:

X: Amount of money spent by a shopper ($)

This population standard deviation is σ= $16

Using the data information I've run a normality test, with p-value: 0.3056 against the test significance level α: 0.05, the decision is to not reject the null hypothesis so there is enough statistical evidence to conclude that the study variable has a normal distribution.

X~N(μ;σ²)

I've also calculated the sample mean and standard deviation:

X[bar]= $81.01

S= $19.62

a.

If the objective is to test that the true mean spending for the population is significantly different than the expected average of 84.5, the parameter of interest is the population mean μ and the hypothesis test will be two-tailed.

H₀: μ = 84.5

H₁: μ ≠ 84.5

α:0.05

The statistic is a standard normal for one sample:

Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~N(0;1)

Z_{H_0}= \frac{81.01-84.5}{\frac{16}{\sqrt{120} } } = -2.389

p-value two tailed  0.016894

b.

The decision rule using the p-value method is:

If p-value ≤ α ⇒ Reject the null hypothesis.

If p-value > α ⇒ Do not reject the null hypothesis.

Since the p-value is less than the significance level, the decision is to reject the null hypothesis.

c.

Using a level of significance of 5% the null hypothesis was rejected. So there is enough statistical evidence to support the researcher's claim that the true mean spending for the population is significantly different than the expected average of $84.5.

I hope it helps!

3 0
3 years ago
Am I correct? ( top question)
EastWind [94]

Answer:

72

Step-by-step explanation:

<1 and <2 are not equal to each other

Let the angle  directly above angle 2 (on the right side of the line) be angle 3

<1 and <3 are corresponding angle, which means they are equal

<2 and <3 are supplementary angles since the form a line

<2 + <3 = 180

We know <1 = <3

<1 + <3 = 180

We are given <1 = 2x+12  and <2 = 3x+18

2x+12 + 3x+18 = 180

Combine like terms

5x+30 = 180

Subtract 30 from each side

5x+30-30 = 180-30

5x= 150

Divide each side by 5

5x/5 = 150/5

x=30

<1 = 2x+12

Substitute 30 in for x to find angle 1

   = 2*30 +12

   =60+12

  = 72

6 0
3 years ago
8. A company makes electronic components for TV's. 95% pass final inspection (and 5% fail and need to be fixed). 120 components
Taya2010 [7]

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of <u>exactly x successes on n repeated trials, with p probability</u>, and has variance given by:

V(X) = np(1 - p)

In this problem:

  • 95% pass final inspection, hence p = 0.95
  • 120 components are inspected in one day, hence n = 120.

The variance is given by:

V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

3 0
2 years ago
Quadrilateral ABCD is dilated about the origin into quadrilateral EFGH
olga nikolaevna [1]

Answer:

2

Step-by-step explanation:

8 x 2 = 16

4 x 2 = 8

5 0
3 years ago
Read 2 more answers
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