20. How was randomization
used in this experiment?
Answer choices:
The individuals were randomly
selected to participate.
The temperature, bedding, and
lighting were the same for all.
The colored chips were used to
determine the treatments.
The days they were asked to
sleep at the clinic were random.

Answer:

77

Step-by-step explanation:

<DBE and <ABE are supplementary angles so their sum is equal to 180

<DBE is given as 103

103 + <ABE = 180 subtract 103 from both sides

<ABE = 77

Answer:

(-4,2)

Step-by-step explanation:

Knowing that/Given that:

The vertices of the triangle are rotated about the origin by 270° counter-clockwise.

In Addition, This transformation changes the co-ordinate (x,y) to (y,-x).

Before (x,y)                                        After ( y, - x)

Vertices                         New vertices after 270° rotation

R= (1,1)                                              R' = (1,-1)

S= (-2,-4)                                          S' = (-4,2)

T= (-3,-3)                                          T' = (-3,3)

Hence, the answer is (-4,2)

~Lenvy~

Based on the estimate from the Waldfogel study, 10[tex]\%[/tex] of this would be a deadweight loss, i.e., [tex]\[/tex]90.6 would be the deadweight loss.

Deadweight loss means the economic inefficiency that takes place when the allotment of resources in a market isn't at the optimal position.

The study suggested that the average recipient's valuation of the gift received was approximately 90[tex]\%[/tex] of the actual purchase price of the gift.

This means that 10[tex]\%[/tex] of the value of the gift gets lost in between.

This loss of 10[tex]\%[/tex] in value constitutes the deadweight loss.

The average amount spent on gifts = $906

Percentage loss in value = 10[tex]\%[/tex] or 0.10

Calculation of the deadweight loss,

DWL = Average amount spent on gifts × Percentage loss in value

DWL = [tex]\[/tex]906 × 0.10

Thus, the deadweight loss would be [tex]\[/tex]90.6.

Learn more about a deadweight loss here:

https://brainly.com/question/32082652

#SPJ12

Answer:

-1/4x+3/4

or

-0.25x+0.75

Step-by-step explanation:

g(x) = mx + b

m = slope

b = initial value

m = -1/4

b = 3/4

g(x) = -1/4x+3/4

Hope this helped, let me know if you need more help!

Answer:

cable 1 ≈ 54.63 ft

Step-by-step explanation:

using Pythagoras' identity in the right triangle having cable 1 as its hypotenuse.

let cable 1 be x , then

x² = 22² + 50² = 484 + 2500 = 2984 ( take square root of both sides )

x = [tex]\sqrt{2984}[/tex] ≈ 54.63 ft ( to 2 dec. places )

Answer:

The juice bar can sell 3 more cups of the passion juice than the berry juice (last one)

Step-by-step explanation:

Passion: 768/16=48

Berry: 810/18=45

passion can fill 48 cups while berry can fill 45 cups, so passion fills +3

:)

Answer:

y = 90[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then using the 45° angle on the lower left

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{90}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = 90[tex]\sqrt{2}[/tex]

Answer:

is called a controlled operation

Step-by-step explanation:

that's what its called i just know

Answer:

[tex]\frac{5}{8}[/tex]  

I hope this helps!

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

to multiply fractions, multiply the numerators together then the denominators.

5 * 3 = 15

6 * 4 = 24

15/24

now simplify that fraction.

15/24

divide both sides by 3

5/8

Answer:

-x^2 +10x + 7

[tex]-x^2 +10x + 7[/tex]

Step-by-step explanation:

its the gray shaded area [(x+1)*(x+7)] minus the white area [(x-1)*(2x)]

AKA: [(x+1)*(x+7)] - [(x-1)*(2x)]

so first you foil to get both areas

gray region: (x+1)*(x+7) = x^2 + 8x + 7

white region: (x-1)*(2x) = 2x^2 - 2x

and then you subtract the white from the gray

[tex](x^2 + 8x + 7) - (2x^2 - 2x)[/tex]

-x^2 +10x + 7

Answer:

£0.60

Step-by-step explanation:

If each pack costs £1.59 and Nadia orders 15 packs,

then the total order before discount = 1.59 x 15 = £23.85

From the table given, we can see that for an order of £23.85 a 2.5% discount will be applied.

Divide £23.85 by 100 to get 1%:  £23.85 ÷ 100 = £0.2385

Now multiply by 2.5 to get 2.5%:  £0.2385 × 2.5 = £0.59625 = £0.60

Alternatively, the calculation in one expression is:

(1.59 × 15) × 0.025 = 0.59625

Answer:

Step-by-step explanation:

Given data

total distance=160 cm

time taken =20seconds

We know that speed =distance/time

So let us solve for the speed of the ant

speed=160/20

speed= 8cm/s

Also when the distance is 216,and the ant uses the same speed,it will take the ant

time=distance/speed

time=216/8

time= 27seconds

Answer: 72 square feet

Step-by-step explanation: just multiply 8* 7 = 56 then 8*2 = 16 and add = 72

Answer:

<aob=1/2(can + ab)

<aob=1/2(25+46)

<aob=1/2(71)

<aob=35.5

Answer:

[tex]\sf x= 14.04^{\circ \:}[/tex]

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

solve:

[tex]\rightarrow \sf tan(x)= \dfrac{5}{20}[/tex]

[tex]\rightarrow \sf x= tan^{-1}(\dfrac{5}{20})[/tex]

[tex]\rightarrow \sf x= 14.04^{\circ \:}[/tex]

Answer:

x = 14.04° (nearest hundredth)

Step-by-step explanation:

Use the tan trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{O}{A}}[/tex]

where:

Given:

[tex]\implies \mathsf{\tan(x)=\dfrac{5}{20}}[/tex]

[tex]\implies \mathsf{x=\arctan\left(\dfrac{5}{20}\right)}[/tex]

[tex]\implies \mathsf{x=14.04\textdegree \ (nearest \ hundredth)}[/tex]

Answer:

[tex]y = \frac{x}{2} + 4[/tex]

Answer:

1

Step-by-step explanation:

Anything to the exponent of 0 is 1.

Answer:

2/5x6/7 = 12/35

Step-by-step explanation:

when we multiply fractions we multiply the denominators together and the numerators as well, so 2 x 6 = 12. and  5 x 7 =35

12/35

Answer:

he first one worked 15 hours, the second one worked 5 hours.

Step-by-step explanation:

First mechanic worked x hours, then second one worked 20 - x hours

First one charged $95*x, second one charged $75*(20-x)

Total charge = 95x + 75(20 - x) = 1800

95x + 1500 - 75x = 1800

20x = 300

x = 15, 20 - x = 5

So the first one worked 15 hours, the second one worked 5 hours.

Complete options are;

a. The approximation requires np > 10 and n(1 - p) > 10.

b. The sample size here is too small to use the Normal approximation to the binomial.

c. The approximation requires np > 30.

d. The Normal approximation works better if the success probability p is close to p = 0.5.

Answer:

Option C is false

Step-by-step explanation:

Looking at the options,

In normal approximation to the binomial,

n is the sample size,

p is the given probability.

q = 1 - p

Now, one of the conditions for using normal approximation to the binomial is that; np and nq or n(1 - p) must be greater than 10.

This means that option A is true because we require np or n(1 - p) to be greater than 10.

From Central limit theorem, the sample size needs to be more than 30 for us to use normal approximation. Our sample is 10. Thus, option B is true.

The approximation doesn't require np > 30. Rather it's the sample size that needs to be more than 30. Thus, option C is false.

Generally, when the value of p in a binomial is close to 0.5, the normal approximations will work better than when the value of p is closer to either 0 or 1. The reason is that: for p = 0.5, the binomial distribution will be symmetrical. Thus, option D is correct.

Recall the double angle identity,

sin(2x) = 2 sin(x) cos(x)

Then we can write

sin(9x) cos(9x) = 1/2 sin(2 • 9x) = 1/2 sin(18x)

Then

∫ sin(9x) cos(9x) dx

= 1/2 ∫ sin(18x) dx

= -1/2 • 1/18 cos(18x) + C

= -1/36 cos(18x) + C

though you could continue with another double angle identity,

cos(2x) = cos²(x) - sin²(x)

to rewrite the antiderivative as

= -1/36 (cos²(9x) - sin²(9x)) + C

= 1/36 (sin²(9x) - cos²(9x)) + C

Answer:

area= base(length)*height(width)

possible dimensions

4 *3, 3*4

6*2, 2*6

12*1, 1*12

Answer:

meter (m) is the standard unit measurement for length .

Answer:

it is meter just to let yall know

Step-by-step explanation:

Answer:

i think its a

Step-by-step explanation:

Answer:

what is the answer i dont know you tell him to ask another person because i m back bencheer