what is the surface area of this square pyramid with a base length of 4 centimeters and slant height of 9 centimeters? HELP PLEASE!!!!

Hi there! :)

[tex]\large\boxed{A = 12.5 \text{ units}^{2}}[/tex]

Find the area of the shape using the formula for the area of a trapezoid:

A = 1/2(b1 + b2) · h

Where:

b1 = base 1

b2 = base 2

h = height

A = area

Plug in the given bases and height:

A = 1/2(7.5 + 2.5) · 2.5

Simplify:

A = 1/2(10) · 2.5

A = 5 · 2.5

A = 12.5 units²

Answer:180(D)

Step-by-step explanation: First, do 72/x=40/100. Then, cross muliply which is 7200 and 40*x. do 7200/40. The answer should be 180.

Answer:

The answer is C(180) on edg 2021

Answer:

yes, they are by SSS

Step-by-step explanation:

EF=AB

ED=BC

DF=AC

therefore, both triangles are congruent

Step-by-step explanation:

i d like to help but i fon knoeww

Answer:

Just explain why you chose mia..

Step-by-step explanation: Why do you think mias right?

Answer:

Mia is right

Step-by-step explanation:

But the reason is because y=4+6x mark is going over the line and he needs to make sure its accross.

Answer:

Step-by-step explanation:

It's independent

Answer:

x = 12, y = 42

Step-by-step explanation:

6 is multiplied by 6 to get 36 (lot of sixes lol)

So multiply everything else by 6

2 x 6 = 12

7 x 6 = 42

Answer:

d y/d x = y/x

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

There are 14 total marbles. The probability of drawing a yellow marble on the first draw is 3/14. Given replacement, the probability on the second draw is the same as on the first draw, so the probability of  black marble on the second draw is 6/14. The probability of drawing first a yellow marble then a black marble is 3/14 * 6/14 = 18/196.

Answer:

35

Step-by-step explanation:

sorry, i dont have an explanation for this i just guessed and it was right, here u go :)

Answer:

a) 0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.

b) The expected number of available places when the limousine departs is 0.1.

c) [tex]P(X = 3) = 0.09[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.32[/tex]

[tex]P(X = 6) = 0.34[/tex]

Step-by-step explanation:

For each reservation, there are only two possible outcomes. Either the person appears for the trip, or the person does not. The probability of a person appearing for the trip is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is given by:

[tex]E(X) = np[/tex]

The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.

This means that [tex]n = 6[/tex]

35% of all those making reservations do not appear for the trip.

This means that 100 - 35 = 65% appear, so [tex]p = 0.65[/tex]

A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?

This will happen if more than four appear, as the limousine can accommodate up to four passengers on any one trip. So

[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{6,5}.(0.65)^{5}.(0.35)^{1} = 0.2437[/tex]

[tex]P(X = 6) = C_{6,6}.(0.65)^{6}.(0.35)^{0} = 0.0754[/tex]

[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.2437 + 0.0754 = 0.3191[/tex]

0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.

B) If six reservations are made, what is the expected number of available places when the limousine departs?

The expected number of arrivals is given by:

[tex]E(X) = np = 6*0.65 = 3.9[/tex]

Since the are four places:

4 - 3.9 = 0.1

The expected number of available places when the limousine departs is 0.1.

C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.

This is the probability of each outcome. So

[tex]P(X = 3) = 0.09[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.32[/tex]

[tex]P(X = 6) = 0.34[/tex]

Answer:

h(t) = -16t^2+125t

We need to find h(t) when t = 4 s:

h(4) = -16*4^2+125*4

h(4) = 244 ft

The height of the object after 4 seconds is 244 feet.

I hope this helps

Answer:

2/25 of a yard

Answer:

The spinner will land 1 three times out of every Eight

Step-by-step explanation:

Answer:

62 times

Step-by-step explanation:

if the probability is 62/100 then u get an odd num 62 times out of every 100

Answer:

168ft^2

Step-by-step explanation:

150 · 0.12 = 18.

150 + 18= 168

Answer:

0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniformly distributed between 0 and 5 minutes.

This means that [tex]a = 0, b = 5[/tex]

Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

[tex]P(X > 4.25) = \frac{5 - 4.25}{5 - 0} = 0.15[/tex]

0.15 = 15% probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Answer:

The answer is the second one , i mean 4.096 cm^3

Answer: 66.67

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Look at the graph, it passes to (0,3), so you need to replace that coordinate into A,B,C,D. Then you can see, there is only B and C satisfies.

[tex]Y=3(\frac{1}{3} )^{0}=3.1=3.[/tex]

and

[tex]Y=(\frac{1}{2} )^{0}+2=1+2=3[/tex]

Next step, you can see when x approach to infinite then Y approach to 0.

Hence, we will take limit of B and C, if limit B or C equals to 0 then we will choose.

[tex]\lim_{x \to \infty} {3(\frac{1}{3})^x=3. \lim_{x \to \infty} {(\frac{1}{3})^x=3.0=0[/tex]

and

[tex]\lim_{x \to \infty} {[(\frac{1}{2})^x+2]}= \lim_{x \to \infty} {(\frac{1}{2})^x}+ \lim_{x \to \infty} {2}=0+2=2[/tex]

We can see that only B is satisfied.

Answer:

2.9

Step-by-step explanation:

.05 rounds up.

2.9

Answer:

yes

Step-by-step explanation:

Answer:

Yes, because it crosses through (-2) at a rate of 1/3

Answer:

y=3.75

x=9.6

Step-by-step explanation:

Answer:

2) 523.3 in²

Steps:

the given polygon is a heptagon

a regular heptagon's area = 7/4 × s² × cot(180°/7)

for the given heptagon

A = 7/4 × 12² × cot(180/7) ≈ 523.28 in² = 523.3 in² (rounded)

The area of a triangle is 1/2 x base x height.

The area of the triangle is 1/2 x 6 x 8 = 24 square cm.

There are 4 identical triangles so 24 x 4 = 96 square cm.

The area of the square base = 6 x 6 = 36 square cm.

Total area = 96 + 36 = 132 square cm.

Answer:

79 rows

Step-by-step explanation:

I subtracted down

Answer:

7

Step-by-step explanation:

Factors for 28: 1, 2, 4, 7, 14, and 28

Factors for 35: 1, 5, 7, and 35