Find the surface area and volume of the prism.
10 cm
6 cm
8 cm
The surface area of the prism is
The volume of the prism is
17 cm
cm².
cm³.
I’ll mark you as Brainly please help

Using the Central Limit Theorem, it is found that the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

Hence, the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal, no matter the underlying distribution of the variable.

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Answer:

A. 198 gift certificates.

Step-by-step explanation:

The probability of winning on a single spin = 3/8.

Number of expected winners

= 528 * 3/8

= 66 * 3

= 198.

Answer:

the length of the third side is 21

Step-by-step explanation:

let P be the perimeter of the triangle

    a the length of the first and second sides

    b the length of the 3rd side

…………………………………………………

Then

P = a + a + b

  = 2a + b

Where b = a + 6

Therefore

P = 2a + (a + 6)

  = 3a + 6

We substitute the numbers we have into the equation:

51 = 3a + 6

⇔ 45 = 3a

⇔ a = 15

Since b = a + 6 then b = 15 + 6 = 21

Using the normal distribution, it is found that 16.43% of adults in the US qualify for stage 1.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 122, \sigma = 22[/tex].

The proportion of adults in the US qualify for stage 1 is the p-value of Z when X = 160 subtracted by the p-value of Z when X = 140, hence:

X = 160:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{160 - 122}{22}[/tex]

Z = 1.73

Z = 1.73 has a p-value of 0.9582.

X = 140:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{140 - 122}{22}[/tex]

Z = 0.82

Z = 0.82 has a p-value of 0.7939.

0.9582 - 0.7939 = 0.1643.

0.1643 = 16.43% of adults in the US qualify for stage 1.

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The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

It is the reverse of differentiation. The differentiation is the rate of change of the function with respect to variables.

The integration is given below.

[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{(1 +x)^{2022}} \ dx[/tex]

Then the integration can be written as

[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{[(1 +x)^{1011}]^2} \ dx[/tex]

Let (1 + x)¹⁰¹¹ = t. Then 1011x¹⁰¹⁰ dx = dt.

Then we have

[tex]\rightarrow \int_{1}^{\infty } \dfrac{dt}{1011 \ t^2}[/tex]

Then integrate

[tex]\rightarrow \dfrac{1}{1011} \left [ \dfrac{-1}{t} \right ]_{1}^{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ \dfrac{1}{t} \right ]^{1}_{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ 1- 0 \right ]\\\\\\\rightarrow \dfrac{1}{1011}[/tex]

The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

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Answer:

The area of the lawn is 68 [tex]m^2[/tex].

Step-by-step explanation:

Area of lawn = Area of garden - (Area of triangle + Area of trapezium)

Area of garden = length x width

                            = 14 x 10

                           = 140 [tex]m^2[/tex]

Area of triangle = [tex]\frac{1}{2}[/tex] x base x height

                         = [tex]\frac{1}{2}[/tex] x 3 x 8

                         = 12 [tex]m^2[/tex]

Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h

                             = [tex]\frac{1}{2}[/tex](5 + 7) 10

                              = 60 [tex]m^2[/tex]

So that;

Area of lawn = 140 - (12 + 60)

                     = 140 - 72

                     = 68

The area of the lawn is 68 [tex]m^2[/tex].

By using the reciprocal identity the value   [tex]Sin \theta[/tex] will be  [tex]\dfrac{5}{27}{[/tex]

In trigonometry, quotient identities refer to trig identities that are divided by each other.

So here we have

[tex]Cosec\theta = \dfrac{27}{5}[/tex]

Now we have to find the reciprocal identity,

[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]

[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]

[tex]Sin\theta=\dfrac{5}{27}[/tex]

hence by using the reciprocal identity the value   [tex]Sin \theta[/tex] will be  [tex]\dfrac{5}{27}{[/tex]

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[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Given equation -

[tex]\bold{(x + 2) {}^{2} + 4(x + 2) - 5 = 0} \\ [/tex]

solve the parenthesis so as to obtain simpler terms

[tex]\bold{\implies \: ( x {}^{2} + 4x + 4 ) + 4x + 8 - 5 = 0}\\ [/tex]

solve the like terms and you'll obtain the required equation !

[tex]\bold{\implies \: x {}^{2} + 8x - 7 = 0}[/tex]

hope helpful ~

[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]

x = -7, -1

Step-by-step explanation:

[tex] \sf {(x + 2)}^{2} + 4(x + 2) - 5 = 0[/tex]

let (x + 2) = y

So equation will be

[tex] \sf {y}^{2} + 4y - 5 = 0[/tex]

Further it becomes quadratic equation

we will solve it by breaking middle term method

[tex] \sf \implies {y}^{2} + 5y - y - 5 = 0 \\ \\ \sf \implies y(y + 5) - 1(y + 5) = 0 \\ \\ \sf \implies (y + 5)(y - 1) = 0[/tex]

Now put the value of y

[tex] \sf \implies (x + 2 + 5)(x + 2 - 1) = 0 \\ \\ \sf \implies (x + 7)(x + 1) = 0[/tex]

(x + 7) =0⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀(x + 1) = 0

x = -7⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ x = -1

Answer:

n= -80

Step-by-step explanation:

Hope this helps! ;-)

Answer:

[tex]\huge\boxed{\sf n = -20}[/tex]

Step-by-step explanation:

Given Equation:

[tex]n=5(2k^2+2k-6)[/tex]

Put k = -2

[tex]n=5[2(-2)^2+3(-2)-6]\\\\n =5[2(4)-6-6]\\\\n=5(8-12)\\\\n= 5(-4)\\\\\boxed{n = -20}\\\\\rule[225]{225}{2}[/tex]

Answer:

Below in bold.

Step-by-step explanation:

a) The rectangle in the middle of the net is 10 cm long.

A = 8

B = 3

C = 6

D = 10

b) Surface area

=  3*6 + 3*10 + 3*8 + 2 * 1/2 + 8 * 6

= 18 + 30 + 24 + 48

= 120 cm^2

[tex]sa = bh + ( b_{1} + b_{2} + b_{3})l[/tex]

[tex]sa = 6(8) + (6 + 8 + 3) \times 10[/tex]

[tex]sa = 48 + (17)(10)[/tex]

[tex]sa = 48 + 170[/tex]

[tex]sa = 220 \: {cm}^{2} [/tex]

Answer:

Jeff is 15 years younger than Joe who is 10

Step-by-step explanation:

Answer:

D.72

Step-by-step explanation:

first you have to divide 96 and 4 than it will equal 24 than you multiple by 3 and so 24×3=72

Answer:here the answer

Step-by-step explanation:

....

Answer:

f(x + 2) = 4x² + 16x + 13

Step-by-step explanation:

f(x) = 4x² - 3

Then

f(x + 2) = 4(x + 2)² - 3

           = 4(x² + 4x + 2²) - 3

           = 4(x² + 4x + 4) - 3

           = 4x² + 16x + 16 - 3

           = 4x² + 16x + 13

Answer:

188 feet

i know that the answer

nasa makatulong po

The volume of a cylinder, in cubic feet, is,

V = 2,034.7 feet³

We have to given that,

In a cylinder,

Height = 8 feet

And, Diameter = 18 feet

Hence, Radius of cylinder is,

r = 18/2

r = 9 feet

We know that,

Volume of cylinder is,

V = πr²h

Substitute all the values, we get;

V = 3.14 × 9² × 8

V = 2,034.7 feet³

Therefore, The volume of a cylinder, in cubic feet, is,

V = 2,034.7 feet³

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The time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively

Given the distance and speed, the time taken to move between points is calculated using:

Time = Distance/Speed

The required graph is not given.

So, we assume that the distance between both points is:

Distance = 1800km

Using the assumed value above, we have:

When speed = 800km/hr

Time = 1800/800

Time = 2.25 hours

When speed = 250km/hr

Time = 1800/250

Time = 7.2 hours

When speed = 120km/hr

Time = 1800/120

Time = 15 hours

Hence, the time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively

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Applying the trigonometric ratios and the triangle sum theorem, the missing lengths and angles are:

AB = 27.2 units

BC = 33.5 units

AC = 50.4 units.

m∠A = 38°

m∠ABC = 112°

The trigonometric ratios, SOHCAHTOA, are used to find the sides or angles of a right triangle.

Find BD using TOA:

tan ∅ = opp/adj

tan 30 = BD/29

BD = tan 30 × 29

BD = 16.7 units

Find AD using TOA:

tan ∅ = opp/adj

tan 52 = AD/16.7

AD = (tan 52)(16.7)

AD = 21.4 units

Find AB using SOH:

sin 52 = 21.4/AB

AB = 21.4/sin 52

AB = 27.2 units

Find BC using CAH:

cos 30 = 29/BC

BC = 29/cos 30

BC = 33.5 units

Find AC:

AC = AD + DC

AC = 21.4 + 29

AC = 50.4 units.

m∠A = 180 - 52 - 90 = 38° (triangle sum theorem)

m∠ABC = 180 - m∠A - m∠C (triangle sum theorem)

m∠ABC = 180 - 38 - 30

m∠ABC = 112°

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Step-by-step explanation:

-10+7=-3 because 10 i greater and (-)(+)=-

-8-3=-11 because the greatest number is in negative form that's why its not in positive form

Hey there!

Guide:

Negative & negative = positive

Positive & positive = positive

Negative & positive = negative

Positive & negative = negative

For -10 + 7 = -3 it doesn’t give you a POSITIVE because you’re working with a negative (-10) and a positive (7), which it results out to be a negative number (-3)

Whereas, -8 - 3 = -11, it doesn’t also give you a positive because you’re working with a negative (-8) and a somewhat positive (3 or -3 it depends how you look at the equation), it gave you a negative result (-11).

KEEP THAT GUIDE IN MIND WHEN YOURE WORKING WITH INTEGERS, IT MAY HELP ON THE LONG WRONG! :)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: {x | x is a season}

Step-by-step explanation:

Spring, summer, autumn, and winter are all seasons.

Answer:

f^-1(x)=[tex]\sqrt[3]{x-3}[/tex]

Answer:= 0.124688 oz per fl

Step-by-step explanation:

This is a fraction equal to

3.99 oz ÷ 32 fl

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 32

3.99 oz ÷ 32

32 fl ÷ 32

=

0.124688 oz

1 fl

=

0.124688 oz

fl

= 0.124688 oz pe

The next step of the valid proof is that AE = CE because of the perpendicular bisector theorem.

The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from the endpoints of the line segment on which it is drawn.

In this case, Julia is using this figure to prove that triangle ABC is an isosceles triangle. After the steps given, the next step will be to indicate that AE = CE because of the perpendicular bisector theorem.

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Answer:

AC = BC  because of the perpendicular bisector theorem

Step-by-step explanation:

I got it right on the test

Answer:

x=63/8

Step-by-step explanation:

9/8=x/7

or, 9*7=x*8

or, 63=8x

x=63/8

Answer:

The number is 111

Step-by-step explanation:

284-62= 222

2x111=284

Answer:

x = 111.

Step-by-step explanation:

Based on the given conditions, formulate: 2 * x = 284 - 62 Calculate the sum or difference:2 x = 222

Answer:

B. 362880

Step-by-step explanation:

! means permutation which means

arrangement of people or things in

sequence or

linear order

9! = 362880

9! = 9*8*7*6*5*4*3*2*1 = 362880

Answer:

6

Step-by-step explanation:

The number of students in the next 12 to enroll should you expect to be undergraduate students is 6.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

From the table,

Total number of students = 7 + 2 + 9 = 18

Number of undergraduates = 9

Probability of having a undergraduate student to enroll = 9/18 = 1/2

When the next 12 students are enrolled,

Number of undergraduates = 1/2 × 12 = 6

Hence 6 students are expected to be undergraduates in the next 12 students.

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Answer:

C=98°

Step-by-step explanation:

125°- 27°

=98°

The amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the alcohol solution of 22 ml has a 12% of concentration. Therefore, the amount of alcohol in the solution is,

12% of 22ml = 2.64ml

Since the amount of alcohol should be the same while the concentration should be diluted, therefore, the amount of alcohol in the final solution can be written as,

[tex]11\%\ of\ x = 2.64{\rm\ ml}\\\\\dfrac{11}{100} \times x = 2.64\\\\x = 24\rm\ ml[/tex]

As the total solution with 12% concentration was 22 ml, while the total solution with 11% concentration was 24 ml.

Hence, the amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.

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