2
Find the lateral area and surface area of the solid. Keep answer in exact form.
7 ft
7 ft
Lateral Area =
Surface Area =

Answer:

Step-by-step explanation:

180 = x + 135 + x + 65

-20 = 2x

-10 = x

x = -10

GF = 55°

Answer: 12.56 cm

Step-by-step explanation:

Pi looks like this π or 3.14 or 22/7

A formula for circumference is: C = 2π r

The radius or r listed in the diagram is 2cm.

1) Plug r into the equation...

C = 2π 2

2) Simplify the equation

C = 4π

3) You can insert 4π to be exact in a calculator or do 4 x 3.14 (its still the same thing but you have to round if you are using this π)

However both answers come out to be 12.56

The best estimate of the standard deviation of the population is 75

The given parameter is:

Sample size, n

The estimate of the standard deviation of the population is calculated using:

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

This gives

[tex]\sigma_x = \frac{\sigma}{\sqrt 25}[/tex]

Evaluate the square root

[tex]\sigma_x = \frac{\sigma}{5}[/tex]

Multiply both sids by 5

[tex]\sigma = 5\sigma_x[/tex]

From the normal curve, we have:

[tex]\sigma_x = 15[/tex] -- the difference between the scores

So,we have:

[tex]\sigma = 5 * 15[/tex]

[tex]\sigma = 75[/tex]

Hence, the estimate of the standard deviation of the population is 75

Read more about standard deviation at:

https://brainly.com/question/15858152

Answer:

Regression model = y = 0.123X + 49.077

Influential point = US ; 487 ; 93.2

Slope with influential point present = 0.123

Slope without influential point = 0.342

Step-by-step explanation:

Given the data:

Gold value (X) :

63

146

203

33

147

36

50

62

487

Debt (Y) :

17.7

81.7

83.2

69.2

119

63.7

9.9

55

93.2

Using the online regression calculator :

The model obtained is :

y = 0.123X + 49.077

y = predicted variable ; debt

Slope = 0.123

x = predictor variable ; gold value

Intercept = 49.077

The influential observation :

US ; 487 ; 93.2

Dropping this observation from our data and fitting the model ;

Model without the influential point :

y = 0.342X+ 30.769

Slope with influential point present = 0.123

Slope without influential point = 0.342

Answer:

66 2/3

Step-by-step explanation:

Let x be the length of the first side

Length of first side: x

Length of second side: 2x

Length of third side: x + 40

x + 2x + x + 40 = 240

3x = 240-40

3x = 200

x = 200/3

x = 66 2/3 (this is a mixed fraction)

Answer:

si

Step-by-step explanation:

si

Answer:

m= 0.3

Step-by-step explanation:

10.1 = 8 + 7m

-8     -8

2.1 = 7m

2.1/7 = 0.3

Answer:

Subtract  8  from both sides of the equation

Simplify

Divide both sides of the equation by the same term

m=0.3

Answer:

he went 0.2km south

Step-by-step explanation:

Answer:

He went 0.2km south.

Step-by-step explanation:

Your welcome!

Answer:

Step-by-step explanation:

70 115 180-25

Answer:

97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, which means that 50% of the values are below the mean and 50% are above.

In this problem, we have that:

Mean of 3300, standard deviation of 525.

What percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams?

2250 = 3300 - 2*525

2250 is 2 standard deviations below the mean.

Of the 50% of the weights below the mean, 95% are going to be greater than 2250(less than 2 standard deviations of the mean).

Of the 50% of the weights above the mean, 100% are going to be greater than 2250.

So

[tex]p = 0.5*0.95 + 0.5 = 0.975[/tex]

0.975*100% = 97.5%

97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.

Answer:

Since the calculated value z= -1.956 does not lie in the critical region z= ± 1.96  we conclude that  true average hourly wage of a server is not different than the claim of $12.

Step-by-step explanation:

The null and alternate hypotheses are

H0: u= 12 against the claim Ha: u≠ 12

Taking significance level alpha = 0.05

The critical region is z= ± 1.96 for two tailed test

The sample size = n= 30

The sample mean = 11

Sample standard deviation= 2.80

Applying z- test

Z= x-u/s/√n

z= 11-12/2.8/√30

z= -1/0.5112

z= -1.956

Since the calculated value z= -1.956 does not lie in the critical region z= ± 1.96  we conclude that  true average hourly wage of a server is not different than the claim of $12.

Answer:

Volume of the given pyramid is 68 mm³.

Step-by-step explanation:

Figure given in the picture is a pyramid.

And volume of a pyramid is given by the formula,

Volume = [tex]\frac{1}{3}(\text{Area of the base)(\text{Height})}[/tex]

Area of the base = 68 mm²

Height of the pyramid = 3 mm

Therefore, volume of the pyramid = [tex]\frac{1}{3}(68)(3)[/tex]

                                                         = 68 mm³

Volume of the given pyramid is 68 mm³.

Answer:

So there are alot of various properties that could be used to solve different kinds of algebraic expressions. To solve a simple algebraic equation, most of the times u need to know the, addition, subtractions properties as well as division and multiplication division property.

Hope this helps!

The answer is D, always remember SOH CAH TOA :)

Answer:

volume

Step-by-step explanation:

Answer:

7.8 years

Step-by-step explanation:

Formula

[tex]PV(1+\frac{i}{n})^{nt}[/tex]

we have

[tex]2900(1+\frac{.09}{4})^{4t}=5800\\1.0225^{4t}=2\\4t=log_{1.0225}2\\4t=31.1518\\t=7.787957[/tex]

Which rounds to

7.8

Answer:

x² - y²

Step-by-step explanation:

√x⁴ =x²

= x² - y²

Answer: 45500

Step-by-step explanation: 45.5*1000, 1 kg=1000g

Answer:

45500

Step-by-step explanation:

please comment on his

Answer:

It's DEFINITELY 2.52

Step-by-step explanation:

Change 6% to a decimal, which will be .06! Times $42 Times.06 and you'll end with the answer $2.52 !!!

Answer:

[tex] \frac{ - r}{ - s} = t[/tex]

[tex] \frac{ - r}{s} = t[/tex]

[tex] \frac{r}{ - s} = - t[/tex]

Answer:

I think it is B

Step-by-step explanation:

Sorry if it is wrong

The probability that the person and his friends are chosen is  5/35, the correct option is B.

Probability is the likeliness of an event to happen.

There are 7 people (including you and your friend) in the front row.

The host randomly chooses 3 people from the front row to be contestants.

The ways that you both will be chosen is given by  ²C₂

The ways in which one more person will be chosen from the rest 5 people  is given by

⁵C₁

The number of ways in which the person and his friend is chosen along with the other one person is given by

⁵C₁ * ²C₂ = 5

The ways in which 3 contestants will be chosen from 7 people is 35

So, Probability = 5/35

To know more about Probability

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#SPJ5

Answer: 45.

Step-by-step explanation:

Answer:

80% of 100 in fraction form is 4/5

Step-by-step explanation:

Answer:

it's in the link on the other comment

Step-by-step explanation:

it's in the link on the other comment

[tex]\frac{245 g SO2 }{} \frac{1 mol SO2 }{64.07 g SO2} \frac{1 mol H2SO3}{1 mol SO2 } \frac{82.09 g H2SO3}{1 mol H2SO3} =314 g H2SO3[/tex]

Step-by-step explanation:

2) What mass of Sulfurous acid is produced, when 245g of Sulfur Dioxide is

reacted with water?  

H2O  +  SO2  →   H2SO3

               ↓                ↑  

              mol   →     mol

          SO2           H2SO3

\frac{245 g SO2 }{} \frac{1 mol SO2 }{64.07 g SO2} \frac{1 mol H2SO3}{1 mol SO2 } \frac{82.09 g H2SO3}{1 mol H2SO3} =314 g H2SO3