Mateus’s bank issued an advertisement saying that 90\%90%90, percent of its customers are satisfied with the bank’s services. Since he himself wasn't very satisfied, he suspected the ad is false. He surveyed a random sample of 808080 of the bank’s customers, and found that only 80\%80%80, percent were satisfied. Let's test the hypothesis that the actual percentage of satisfied customers is 90\%90%90, percent versus the alternative that the actual percentage is lower than that. The table below sums up the results of 100010001000 simulations, each simulating a sample of 808080 customers, assuming there are 90\%90%90, percent satisfied customers. According to the simulations, what is the probability of getting a sample with 80\%80%80, percent satisfied customers or less?

Answer:

[tex]T = \frac{u + v}{2} [/tex]

Cross multiply

We have

2T = u + v

u + v = 2T

Move v to the right side of the equation to make u stand alone

We have the final answer as

Hope this helps you

Answer: 10

Step-by-step explanation:

-2(-3)+4=f(x)

6+4=f(x)

10=f(x)

Hope it helps <3

Answer:

10

Step-by-step explanation:

We are given:

f(x)= -2x+4

and told to find f(x) when x= -3

X is equal to -3, therefore we can substitute -3 in for x.

f(x)= -2x+4 when x= -3

f(-3)= -2(-3)+4

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, multiply -2 and -3. Multiplying 2 negative numbers makes a positive number.

f(-3)= 6+4

Add 6 and 4

f(-3)=10

When x= -3, f(x) is 10

Answer:

C. 55

Step-by-step explanation:

Since all angles in a triangle add up to 180°, we have:

40 + y + y + 30 = 180

2y + 70 = 180

2y = 110

y = 55

Answer:

C. 55º

Step-by-step explanation:

A triangle is 180º.

So, 40+y+30+y = 180º         Form an equation to solve it. Then combine like terms

70+2y = 180º                       Subtract 70 on both sides.

2y = 110º                              Divide 2 on both sides

y = 55º                                The answer is 55º

Answer:

1. 8 hours 2. 12 pumps

Step-by-step explanation:

1. 80 ×10=800

there are 800 miles between abuja and lagos

800÷100=8

it will take 8 hours

2. with 3 pumps it takes 36 hours. you need to be 4 times quicker so you need 4 times more pumps.

4×3=12 pumps

Answer:

1) 8 hours

2) 12 pumps

Step-by-step explanation:

1)

Distance travelled=800 km

Because if you use the speed distance time triangle, 80*10=800

We can then use this to find out how long it would take to travel it at a different speed.

800km/100=8 so it takes 8 hours

2)

36*3=108 so if there was only one pump, it would take 108 hours to fill the pool.

108/9=12 so you would need 12 pumps

Answer:

We have the equation

[tex]\frac{4*a^2*b^2*c}{-3*a*b} + \frac{8c^2}{15}[/tex]

First, we want the same denominator in both equations, so we can multiply in the left by 5, and in the right bt -ab, and now we have:

[tex]\frac{20*a^2*b^2*c}{-15*a*b} + \frac{-ab8c^2}{-15ab} = \frac{-20*a^2*b^2*c +8*a*b*c^2}{15*a*b}[/tex]

Now we have all in the same rational.

The only restriction in this type of equation is that the denominator never can be zero.

so 15*a*b = 0 is a restriction:

This means that a can not be zero, and b can not be zero.

Answer:

9.9 cm

Step-by-step explanation:

As we can see in the diagram that the total of straight line has 180 degrees

Therefore ∠RPQ is 180 degrees - 123 degrees = 57 degree

And, arc length is equivalent to the circumference of circle i.e

[tex]= 20\pi \times \frac{57}{360}[/tex]

where,

Pie = 22 by 7

Therefore the approximate length of QR is 9.9 cm

We simply applied the above calculation so that we get to know the length and the same is to be considered

Answer:

A. 9.9 centimeters

Step-by-step explanation:

Just took the Unit Test on Edg (2021)!!

Answer: 18.96 km/h

Step-by-step explanation:

Gwen:

65 miles = 104.6 km

104.6 km / 2.5 h  =   41.84 km/h

Bryn:

15 min = 0.25 h

76 km / 1.25 h  =  60.8 km/h

Difference:

60.8 - 41.84 = 18.96 km/h

Hope this helps!

Answer:

The problems with same answers are:

(a, 4), (b, 3), (c, 1), (d, 5) and (e, 2).

Step-by-step explanation:

The two sets of problem are as follows:

    Set 1                           Set 2          

a. 36·4+36·9                 1. (8+2)·19

b. 17·(18−15)                2. 11·(14+6)

c. 8·19+2·19                 3. 17·18−17·15

d. (26−18)·6                  4. 36·(4+9)

e. 11·14+11·6               5. 26·6−18·6

The matched pairs are as follows:

a. 36·4+36·9 = 36·(4 + 9) → 4. 36·(4+9)

b.17·(18−15) = 17·18−17·15 → 3. 17·18−17·15

c. 8·19+2·19 = (8 + 2)·19 → 1. (8+2)·19

d. (26−18)·6 = 26·6−18·6 → 5. 26·6−18·6

e. 11·14+11·6 = 11·(14+6) → 2. 11·(14+6)

Thus, the problems with same answers are:

(a, 4), (b, 3), (c, 1), (d, 5) and (e, 2).

I think answer is A.

Hope this helps!

Brainliest would be great!

The composition of similarity transformations that map polygon ABCD and A'B'C'D are

Similar triangles may or may not have congruent side lengths.

From the question, we understand that polygon ABCD is twice the size of polygon A'B'C'D.

This means that, the side lengths of polygon ABCD must be dilated by a scale factor of 1/2

Also, the intermediate image of polygon ABCD (after dilation) must be reflected to get polygon A'B'C'D.

Hence, the composition of similarity transformations are (b) and (e)

Read more about transformation at:

https://brainly.com/question/15469392

Answer: 3.60

Step-by-step explanation:

18 times 020 is 3.60 so ye thats how much you would save

Answer:

17, 2, 2

Reasoning/Work:

Answer:

Initial number of trees (t)=204

Step-by-step explanation:

t = initial number of trees

Subtract 5 trees from the initial number of trees

we have,

t-5

each remaining tree made 210 oranges for a total of 41,790 oranges

We have,

(t-5) * 210=41790

Solve the equation

(t-5) * 210=41790

Open the bracket

210t-1050=41790

210t=41790+1050

210t=42840

Divide both sides by 210

210t/210=42840/210

t=204

The initial number of trees on MacDonald farm orange trees (t)=204

If 5 is removed from the initial trees

t-5=204-5

=199 trees

199 trees produce 210 oranges

We have,

199*210=41790 oranges

Answer:

Equation: 210t - 1050 = 41790

204 orange trees

Step-by-step explanation:

answer is from khan academy

pls brainliest :|

Answer:

C

Step-by-step explanation:

Put x as 4.

4 + 8 = 3(4)

12 = 12

True.

The equation that has the solution x = 4 is x + 8 = 3x.

Given that,

Based on the given options,

(a) 4x = 20

Now if we put x value in the equation

Put x as 4

So

4x = 20

4(4) = 20

8 = 20

(b)

x ÷ 2 = 8

4 ÷ 2 = 8

2 = 8

(c)

x + 8 = 3x

(4) + 8 = 3(4)

12 = 12

Therefore we can conclude that the equation that has the solution x = 4 is x + 8 = 3x.

Learn more: brainly.com/question/24169758

Answer:

97

Step-by-step explanation:

the shape leans a little so it's more than 90

Answer: 250 metre

Step-by-step explanation:

The radius of the semi circle will be:

Radius r = diameter/ 2

Where diameter = 140

r = 140/2 = 70m

The radius is also equal to the width of the diameter.

Find the quarter of the circumference of a circle.

Circumference of a circle = 2πr

Substitute for r in the formula

Circumference = 2 × 22/7 × 70

Circumference = 44 × 10 = 440 m

Divide the circumference by 4

440/4 = 110 m

The perimeter P of the shaded region will be

P = 110 + 70 + 70

Perimeter = 250 m

Therefore, the perimeter of the shaded region is 250 m

Answer: B.) 84°

Step-by-step explanation:

Given the following :

Radius of circle(r) = 15cm

π = 22/7

Length of arc (L) = 22cm

The length of an arc is calculated using :

Length (L) = (Θ / 360) × 2πr

22 = (Θ / 360) × 2 × 22/7 × 15

22 = Θ × 660 / (360 * 7)

22 = Θ × 660 / 2520

Θ × 660 = 22 × 2520

Θ = 55440 / 660

Θ = 84°

Answer:

2 5/6

Step-by-step explanation:

1.Rewriting our equation with parts separated

3+1/2-2/3

2.Solving the fraction parts

1/2-2/3=?

3.Find the LCD of 1/2 and 2/3 and rewrite to solve with the equivalent fractions.

LCD = 6

3/6-4/6=2 5/6

Answer:

I think the answers are 1 to 1 ,9 to 8 , 10 to7

Answer:

8

Step-by-step explanation:

We will the pythagorian theorem :

Answer:

b=8

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle:

a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse

a=6 and b = 10

6^2 + b ^2 = 10^2

36+ b^2 = 100

b^2 = 100-36

b^2 = 64

Taking the square root of each side

sqrt(b^2) = sqrt(64)

b = 8

Answer:

48.25 in^2.

Step-by-step explanation:

Surface area of the base

= 1/2 & base * height

= 1/2 * 4.3 * 5

= 10.75 in^2.

Area of each triangular side

= 1/2 * 5 * 5

= 12.5 in^2.

So total surface area

= 10.75 + 3 * 12.5

=  48.25 in^2.

Answer: A  there are equivalent.

Step-by-step explanation:

f(x) = [tex]\sqrt{16}^x[/tex]  reduces to  f(x)=[tex]4^{x}[/tex]  

g(x)= [tex]\sqrt[3]{64}^{x}[/tex]   also reduces to g(x) = [tex]4^{x}[/tex]  

The function g(x) equal to f(x).

A quantity representing the exponent to which a given number or letter is to be raised is usually expressed as a raised symbol beside the number or letter. It is expressed as aˣ is a variable and a is constant.

Given are two functions, f(x) = √16ˣ and g(x) = ∛64ˣ,

We need to find the relation between the function,

So,

√16 = 4

∛64 = 4

Functions can be written as, f(x) = 4ˣ and g(x) = 4ˣ,

It is clear that g(x) equal to f(x) because g(x) is having power equal than f(x).

Thus, It is clear that g(x) is equal to f(x).

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ7

Answer:

last one

Step-by-step explanation:

just did the question

We can not conclude that triangle GHF is congruent to triangle GJK. Therefore, option D is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider, triangle GHF and triangle GJK

Now,

∠H= ∠J (Given)

HG=GJ (Given)

With one angle and one side we can not prove triangles congruence

So, triangle GHF and triangle GJK are not congruent.

We can not conclude that triangle GHF is congruent to triangle GJK. Therefore, option D is the correct answer.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ2

Answer: 0.95k + 3.15

Step-by-step explanation:

0.95k is because each of k kilometers costs $0.95.  + 3.15 is because it costs 3.15 as a flat rate regardless of distance

Hope it helps <3

Answer:

.95k+3.15

Step-by-step explanation:

To write an expression you need a variable (k). I look at the directions and I see that the length of the trip is 'k' kilometers. So I pay the flat fee of 3.15 ONE TIME. Then I pay $0.95 for every kilometer I go, so the expression is

->   .95k+3.15

Answer:

b.

(a) 676,000,000

(b) 98,280,000.

Step-by-step explanation:

If no repetition the number of possible outcomes is:

26P2 * 10P6

= 650 * 151200

= 98,280,000.

If repetitions are allowed it is:

(650 + 26) * 10^6

= 676 * 1,000,000

= 676,000,000.

Answer:

[tex]\boxed{1 \: \: \mathrm{solution}}[/tex]

Step-by-step explanation:

The point where two lines intersect is the solution to the system of equations.

The two lines intersect at (-1, 2).

x = -1

y = 2

y = 2x + 4

y = -x + 1

Plug y as -x+1 in the first equation.

-x + 1 = 2x + 4

-x - 2x = 4 - 1

-3x = 3

x = -1

Plug x as -1 in the second equation.

y = -(-1) + 1

y = 1 + 1

y = 2

Answer:

Hey there!

Only one solution, because they intersect at only one point.

Hope this helps :)

Answer:

Hey there!

To solve this problem, we want to find the LCM (least common multiple) of the two numbers.

The numbers are 25 and 30.

25=5x5

30=2x3x5

LCM is 5x5x2x3, or 150.

Thus, in 150 minutes is when the next bus will leave.

150 mins is equal to 2 hours and 30 mins, or 2.5 hours.

8 AM + 2.5 hrs = 10:30 AM.

Thus, the next time the busses leave together would be at 10:30 AM.

Let me know if this helps :)

Answer:

x = 4

Step-by-step explanation:

If two secants are drawn to a circle from one exterior point, then the product of the exterior segment and whole segment is same. i.e 6×(6+x) = 5×(5+x+3)

=> 6x+36 = 5x + 15 +25

=> x = 40-36

=> x = 4

I hope it's the right answer.

Answer:

x = 4

Step-by-step explanation:

Given 2 secants drawn to a circle from an external point, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

6(6 + x) = 5(5 + x + 3), that is

36 + 6x = 5(8 + x) = 40 + 5x ( subtract 5x from both sides )

36 + x = 40 ( subtract 36 from both sides )

x = 4

Answer:

[tex]\boxed{\sf \ \ \ x=2 \ \ y=3 \ \ \ }[/tex]

Step-by-step explanation:

Hello, we have two equations and two unknowns

(1) 4x = -3y + 17

(2) 3x - 4y = -6

We can solve them algebraically

for instance from (1) we can divide by 4 and then write

(1') [tex]\dfrac{4x}{4}=x=\dfrac{-3y+17}{4}[/tex]

and then replace this expression of x in (2) it comes

[tex]3*\dfrac{-3y+17}{4}-4y=-6 \ \ \ multiply \ by \ 4 \\<=> -3*3y+3*17-4*4y=-6*4\\<=> -9y+51-16y=-24 \ \ \ substract \ 51\\\\<=> -25y=-24-51=-75 \ \ \ divide \ by \ -25\\<=> y = \dfrac{75}{25}=3[/tex]

and then

[tex]x=\dfrac{-3*3+17}{4}=\dfrac{-9+17}{4}=\dfrac{8}{4}=2[/tex]

we can solve it graphically as well

we just need to graph the two lines and find the intersection point as shown below

hope this helps

Answer:

16 hectáreas y 20 hectáreas

Step-by-step explanation:

Aquí, debemos compartir las 36 hectáreas con respecto a la proporción de sus edades.

Lo primero que debe hacer aquí es colocar su edad de lado a lado y encontrar la relación con el término más bajo.

Por lo tanto; 12:15 al término más bajo es 4: 5 Entonces debemos compartir 36 hectáreas en la proporción 4: 5

Primero, sumamos ambos y tenemos 4 + 5 = 9

Entonces; 4/9 * 36 = 16 hectáreas

5/9 * 36 = 20 hectáreas