Cams tent ( shown below) is a triangular prism

Answer:20 = (3.5+4.5)h2

Step-by-step explanation: I just did it on imagine math

The height of the trapezoid is 5 feet

What is a trapezoid?

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

The area of the trapezoid = 20 feet²

The length of the shorter base = 3.5 feet

The length of the longer base = 4.5 feet

Let the height of the trapezoid be = h

Now ,

The area of the trapezoid is given by the equation A = ( ( a + b ) h ) / 2

Substituting the values of A , a and b , we get

20 = ( 3.5 + 4.5 ) h / 2

Solving for h , we get

h = ( 20 x 2 ) / ( 3.5 + 4.5 )

h = 40 / 8

h = 5 feet

Therefore , the height h is 5 feet

Hence , the height of the trapezium is 5 feet

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Answer:

B , D , A ,C

Step-by-step explanation:

PEMDAS

Answer:

= 5² = 25

= 36 ÷ 6 = 6

= 6 × 3 = 18

= 18 + 25 = 43

Step-by-step explanation:

The order of operations is PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction From Left to Right.

First is Exponents.

5² = 5×5 = 25

From left to right, division comes first.

36 ÷ 6 = 6

Then multiplication.

6 × 3 = 18

Lastly, addition.

18 + 25 = 43

Hope that helps.

Answer:

m= -5

Step-by-step explanation:

The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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In this study, we are comparing the average number of courses taken by two distinct groups: 60 freshmen at a university and 55 freshmen at a community college.

These two groups are separate from each other and do not have any specific connection or pairing. The individuals in each group are not matched or related to individuals in the other group, and the performance or choices of one group do not affect or depend on the other group.

Based on this information, we can conclude that the two samples in this study are independent samples. Independent samples refer to cases where the observations or data points in one sample have no effect on or relationship with the observations in the other sample.

This is in contrast to paired samples, where each data point in one sample has a specific corresponding data point in the other sample, and the two data points have a clear connection or dependency.

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Answer:

x = -2

Step-by-step explanation:

The 90% confidence interval for the difference in the proportions is 0.004 to 0.078

From the question, we have the following parameters that can be used in our computation:

Age group      Number surveyed     Number of yes response

30 or younger     1000                                  468

Older than          1000                                    509

This means that

p₁ = 468/1000 = 0.468

p₂ = 509/1000 = 0.509

Also, we have

p = (0.468 + 0.509)/2

p = 0.489

The z score at 90% CI is 1.645, and the CI is calculated as

CI = (p₁ - p₂) ± z * √((2p(1 - p))/n)

So, we have

CI = (0.509 - 0.468) ± 1.645 * √((2 * 0.489 * (1 - 0.489))/1000)

This gives

CI = 0.041 ± 0.037

Expand and evaluate

CI = (0.004, 0.078)

Hence, the confidence interval is 0.004 to 0.078

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Question

Major television networks conducted a joint poll of viewers and asked them if they felt that beer and other alcoholic beverage commercials targeted teenagers and young adults (those under 21 years old). The results of the survey are as follows

Age group      Number surveyed     Number of yes response

30 or younger     1000                                  468

Older than          1000                                    509

Calculate a 90% confidence interval for the difference in the proportions of those older than 30 and those 30 or younger that believe alcoholic beverage commercials targeted teenagers and young adults. Let the 30 or younger age group be Population 1 and let the older than 30 age group be Population 2.

The delivery time for mail varies depending on several factors, including the weight of the package.

The delivery time for mail can range from a few hours to several weeks, depending on the type of service you choose. For instance, if you opt for express delivery, your package will be delivered faster than regular mail.

Moreover, the weight of the package can also have an impact on the delivery time. Typically, heavier packages take longer to deliver than lighter ones since they require more time and resources to handle and transport.

However, it's worth noting that the delivery time for mail is not solely dependent on the weight of the package. Other factors, such as the distance between the sender and recipient, the mode of transportation, and the efficiency of the delivery company, can also affect the delivery time.

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It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?

Distance 1 = 1662 km

Time T= 3 hours

Distance 2= 2142 km

Time T=3 hours

Also

V1 = Plane velocity

V2= Air velocity

Then

Distance1/T = V1 - V2

and

Distance2/T= V1 + V2

1662/3= 554 = V1 - V2

2142/3= 706= V1 + V2

Now solve this 2x2 system, by substitution

then

V1= (554+ 706)/2= 1260/2= 630

V2= 706 - 630= 76

Then answer is

Velocity of plane= 630 km/h

Velocity of air= 76 km/h

Answer:

m<1=61

m<2=40

m<3=60

m<4=80

m<5=100

Step-by-step explanation:

180/3=60

180/9=20

20x2=40

20x4=80

20x3=60

59+60=119

180-119=61

180-80=100

Answer:

x = 72

Step-by-step explanation:

36 - x = -36

*subtract 36 from both sides*

-x = -72

*divide by -1*

x = 72

Answer:

0 is the answer of the equation

Answer:

11.5 & 25.5

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

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The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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Answer:

Step-by-step explanation:

\(f(x)=(x-\sqrt5)(x+\sqrt5)(x+7)\\\\f(x)=(x^2+x\sqrt5-x\sqrt5-(\sqrt5)^2)(x+7)\\\\f(x)=(x^2-5)(x+7)\\\\f(x)=x^3+7x^2-5x-35\)

Answer:

Step-by-step explanation:

Given zeros of cubic function:

The cubic function has standard form:

Without multiplying lets find the value of a, b, c and d:

Sum of the roots

Sum of the products of the roots (taken two at a time)

Product of the roots

So the cubic function is:

Correct option is C

Answer:

5(3x+2)-2(4x-1)

15x+10-8x+2

7x+12

Step-by-step explanation:

Answer:

\(5(3x + 2)- 2(4x - 1) \\→ 15x + 10 - 8x +2\\→(7x + 12 )\)

Answer:

325 or 325/1

Step-by-step explanation:

The formula for slope is:

y1 - y2/x1 - x2

Plugging the numbers in gives you:

40 - 690/0-2

Do subtraction first:

-650/-2

Two negatives make a positive and simplifying the fraction gives you:

325 or 325/1

Whichever makes you happier

(Also, remember that slope is rise/run, which is why it is y/x not the other way around(When graphing you go left/right then up/down))

Hope this helps you :)

Answer:

Its D if you think about it

Step-by-step explanation:in your mind move the triangle on the top right down 6 units and then turn your triangle 90 degrees counter clockwise (quick maths)

The only transformation that will move the triangle in quadrant 1 onto the similar triangle in quadrant three is;

Option D; translation 6 units down and rotation 90° counterclockwise

The y-coordinate of the right angle vertex of the triangle in quadrant 1 is y = -2. Meanwhile the y-coordinate of the same right angle point of the triangle in quadrant 3 is y = -4.

Thus, for the triangle in quadrant 1 to be on the same level with that in quadrant 3, we need to translate the triangle in quadrant 1 downwards by 6 units.

Now, since we want to map this newly translated triangle to the one in quadrant 3 and as such we need to rotate it 90° counterclockwise

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Answer:

672 litres.

Step-by-step explanation:

Convert the measurements to cm:

14 m = 1400 cm

The capacity = 1400 * 8 * 60

= 672,00 cm^3

There are 1000 cm^3 in 1 litre so the answer is

672 litres.

Answer:

aaalot I'm guessing I'm stu.pid

Answer:

93

Step-by-step explanation:

So, you basically basic math it, or calculator.

Answer:

b

Step-by-step explanation:

-15+2×3.5=-8

-15+7=-8

Question is incomplete. Answering in a general way;

The side CA has a length of  \(\sqrt{c^{2}-b^{2} }\) and Angle C is of 28 degrees.

Given,

Right angled triangle ABC

Length of side AB = b

Length of side BC = c

Angle B = 62°

Angle A = 90°

We have to find the length of side CA and Angle C;

Here,

According to Pythagorean theorem,

Hypotenuse = \(\sqrt{base^{2}+altitude^{2} }\)

Here,

Altitude = \(\sqrt{Hypotenuse^{2} -Base^{2} }\)

CA = \(\sqrt{c^{2} -b^{2} }\)

Now,

Sum of interior angles of a triangle is 180°

Then,

∠A + ∠B + ∠C = 180°

So,

90° + 62° + ∠C = 180°

∠C = 180° - 152°

∠C = 28°

That is,

The length of side CA is \(\sqrt{c^{2}-b^{2} }\) and Angle C is 28°

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Cam can run 9.3205 miles when she finishes.

mile, any of several distance measurements, such as the statute mile of 5,280 feet (1.609 km). It was derived from the Roman mille passus, or "thousand paces," which was equivalent to 5,000 Roman feet.

The term "mile" is derived from the Latin "mille passus," which means "one thousand paces," and a mile was 1,000 Roman strides, with a stride equaling two steps. In 1592, the English Parliament standardised the Mile measurement at eight furlongs (660 feet).

Cam signed up to run a 15-kilometre running race.

So, here, we will convert kilometers to miles-

I kilometer is =0.621371 miles

And, I mile =1.609344 kilometres.

Thus, converting kilometres to miles.

Simply multiply the Number of kilometres by 0.62137.

Therefore, 1 kilometre =0.621371 miles

1.5 kilometer=15*0.621371 miles =9.32057 miles

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Answer:

12.1

Step-by-step explanation:

Answer:  A) stretched vertically by 2 and shifted up 6 units

Step-by-step explanation:

y = A log(Bx - C) + D    where

Given: f(x) = log x

          g(x) = 2 log x + 6

→ A = 2   vertical stretch by a factor of 2

→ D = +6  vertical shift UP 6 units

a)The given option has two outcomes, either a profit of 60,000 or a loss of 30,000. Let X denote the random variable for profit.P(X=60,000)=0.65P(X=-30,000)=0.35Thus, the discrete probability distribution for profit is as follows:

b)Expected value of profit (E(X)) is given by: &=(60,000)(0.65)+(-30,000)(0.35)\\&=39,000\end{aligned}, the expected value of profit is 39,000. c)The formula to calculate the standard deviation is:

Where \mu is the expected value of profit.Substituting the values, we get:\begin{aligned}\sigma&=\sqrt{((60,000 - 39,000)^2)(0.65) + ((-30,000 - 39,000)^2)(0.35)}\\&=\sqrt{1,034,100,000}\\&=32,142.06\end{aligned}, the standard deviation of profit is 32,142.06.

d)The expected value of profit is 39,000, which means that on average, the investor will make a profit of 39,000 if they invest in this option. However, the standard deviation of profit is 32,142.06, which means that there is a considerable amount of risk involved with this investment.

whether buying this option is a good idea or not depends on the investor's risk appetite. If they are willing to take the risk and believe that the potential profit is worth it, then it might be a good idea to invest in this option. On the other hand, if they are risk-averse, then it might not be a good idea to invest in this option.

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SOLUTIONS

For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.

(a) Event A: A tail on the first toss or the second toss (or both)

(b) Event B: A head on each of the first two tosses

(c) Event C: Two or more tails