Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.

Answer:

1. The facts are;

[tex]\overline x _1[/tex] = 95 days

s₁ = 32 days

n₁ = 18 SUV's

[tex]\overline x _2[/tex] = 48 days

n₂ = 38 small cars

s₂  = 24 days

The confidence level = 95%

The confidence interval is (29.55,  64.45)

Step-by-step explanation:

The facts of the problem are;

The number of SUV's he sold, n₁ = 18 SUV's

The average number it took to sell the 18 SUV's, [tex]\overline x _1[/tex] = 95 days

The standard deviation of the time it took to sell the 18 SUV's, s₁ = 32 days

The number of small cars he sold, n₂ = 38 small cars

The average number it took to sell the 38 small cars, [tex]\overline x _2[/tex] = 48 days

The standard deviation of the time it took to sell the 38 small cars, s₂  = 24 days

The 95% confidence interval is given as follows;

Using a graphing calculator, we get, the critical-t, [tex]t_c[/tex] = 2.055529

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm t_{c} \cdot\sqrt{\dfrac{s _{1}^{2}}{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}[/tex]

[tex]\left (95-48 \right ) \pm 2.055529 \times \sqrt{\dfrac{32^{2}}{18}+\dfrac{24^{2}}{38}}[/tex]

We get C.I. = 29.55259 < μ₁ - μ₂ < 64.44741

∴ C.I. ≈ 29.55 < μ₁ - μ₂ < 64.45

Step-by-step explanation:

The original function is f(m) = 5(1.07)^m, with the m as an exponent

part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m

plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9

part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent

part C) average rate of change from m = 1 to m = 9

f(9)−f(1)9−1

evaluate, and think about what that represents in terms of height and number of months

Answer:

answer option number 4

Step-by-step explanation:

Answer:

p(2,-4) q(3,-1) r(4,-4)

Step-by-step explanation:  Reflecting across the y axis changes the x coordinates.

Answer:

30 days

Step-by-step explanation:

The common multiples of 15 and 6 are 30, 60, 90 etc and because it increases by 30 each time we can find out that he will play both football and basketball together in thirty days!

Answer: 30 days i think

Step-by-step explanation:

hope this helps you bud

Answer: 45

Step-by-step explanation:

Sum is addition so it would be

28+17=45

Answer:

45

Step-by-step explanation:

there are 47 cows in total !

Answer:

7

Step-by-step explanation:

to find the circumference of a circle the equation is C=πd where C is circumference, d is diameter, and using 3.14 for π

once we plug in the known information we are left with

22=(3.14)d

all that's left is to solve for d

22=(3.14)d

22/3.14=(3.14)/3.14 d

7=1d

7=d

Answer:

The answer can be 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, or 3.9.

Step-by-step explanation:

All of those work

i would say the answer is 5/8

because c is 3/4

Answer:

[tex]4g^{6} + 16g^{3}+16[/tex]

Step-by-step explanation:

[tex]2(2g^{3}+4)*g^{3}+4(2g^{3}+4)[/tex]

Answer:

(2g³+4)²

using formula of (a+b)²=a²+2ab+b²

(2g³)²+2×2g³×4+4²

2g^5+16g³+16 Is your answer

Answer:

Speed of first plane is  350 miles per hour

Speed of second plane is 100 miles per hour

Step-by-step explanation:

Let the speed of the second plane be X

Then the speed of the first plane will be 3.5 X

Distance travelled by first plane is 9.5 *X

Distance travelled by second plane is 9.5 * 3.5 X

Difference of distance between the two plane is

[tex]9.5 * 3.5 X - 9.5 *X = 2375\\23.75 X = 2375\\X = 100[/tex]miles per hour

Speed of first plane is 3.5 *100 = 350 miles per hour

Speed of second plane is 100 miles per hour

1: yes

2:C

3:D

Step-by-step explanation:

a number is missing in no.3

the ans in 3 is -1,0,5,1,5,6

question 1=30

question 3 =1/20

Step-by-step explanation:

question 1

question 2 am not sure

question 3

The simplification of the expressions 300 / (2 x 5) is 30 and (6 - 2.5)(8 + 4) is 42. And the reciprocal of 20 will be 1/20.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

The expression is given below.

1.  The expression 300 / (2 x 5) can be simplified as

300 / (2 x 5) = 30

2.  The expression (6 - 2.5)(8 + 4) can be simplified as

(6 - 2.5)(8 + 4) = 42

3.  The reciprocal of 20 will be  

→ 1 / 20

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

4x - 25 = 75.

To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.

25 + 75 = 100

Lastly, divide 100 from 4.

4x = 100

100 / 4 = 25

x = 25

Answer:

Yes, it's true

Step-by-step explanation:

A fraction is a part of a whole number for example 1/2. 1/2 is a half of one whole piece and if you multiply it into any whole number whether it's 2,4,6,8,10...... basically, if you multiply a fraction less than one with a non-zero whole number, it will always be less than the whole number it's being cut into smaller pieces. However, if the fraction is greater than 1, we would technically have an answer greater than the whole number product, just something to remember.

Answer:

(23, -1)

Step-by-step explanation:

I think you meant 2p + 39q = 7 , & 3p + 59q = 10

You would do C first, because that will get rid of the P's.

---> -6p - 117q = -21

---> 6P + 118q = 20

Now we get q=-1

If we plug it into the first equation, we get 2p + 39(-1) = 7

Therefpre, 2p - 39 = 7. This means that 2p = 46.

Therefore, p = 23

(23, -1)

Answer:

answer is b...............

Answer: False

Step-by-step explanation:

Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions

Answer: C. 1,485 cubic feet

Step-by-step explanation:

Ur welcome :)

Answer:

I am assuming the storage shed is shaped like a rectanglular prism.

v=lwh

v=9*15*11

v=1485 cubic feet

Answer is C.

Answer:

13000

Step-by-step explanation:

1 = 2,000 pounds

0.5 tons = 1000 pounds

Answer: 13,000 lb

Step-by-step explanation:

6 x 2,000 = 12,000

1/2 * 2,000 = 1,000

12,000 + 1,000 = 13,000

Answer:

14x^2-21?.…....………...

Answer:

14x^2 -21

Step-by-step explanation:

Answer:

b = 5.7

A = 51.1°

B = 38.9°

Step-by-step explanation:

a = 7

c = 9

✔️Find b using Pythagorean theorem:

b = √(9² - 7²) ≈ 5.7

✔️Find A using trigonometric function:

Reference angle = A

Opposite = a = 7

Hypotenuse = c = 9

Apply SOH:

[tex] sin(A) = \frac{Opp}{Hyp} [/tex]

[tex] sin(A) = \frac{7}{9} [/tex]

[tex] A = sin^{-1}(\frac{7}{9}) [/tex]

A = 51.0575587° = 51.1°

✔️B = 180 - (90 + 51.1) (sum of triangles)

B = 38.9°

Answer: 70 m

Step-by-step explanation: 4 inch 4·17.5 m = 70 m

Answer:

-3

Step-by-step explanation:

I think the answer to m is 8

Answer:

C

Step-by-step explanation:

We can calculate the area of triangles ABD and DBC, and then add them together to get the area of the whole quadrilateral.

[tex]A = \frac{11 \times 3 + 7 \times 9}{2} = \frac{33 + 63}{2} = \frac{96}{2} = 48[/tex]