What is the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?

[tex]\text{If } a_n=1.5(a_n-1) \text{ this is a geometric sequence with a ratio of 1.5. The first term is 40. }a_n=40(1.5)^{n-1},\ a_5=40(1.5)^4=202.5[/tex]

Answer:

b = P - c - a

Step-by-step explanation:

Answer:

$0.88 per pound

Step-by-step explanation:

you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound

Answer:

70.03

Step-by-step explanation:

420.18/6=70.03

70.03*6=420.18

Answer:

420.18=6x

420.18/6=X

x=70. 03

Step-by-step explanation:

plz make me brainliest

Answer:

E

Step-by-step explanation:

you would find the area of both squares, then add them together.

Answer:

d^2 +2d-8=0

first pick two numbers which add up to make +2 and by multiplying those two numbers they should be able to create -8.

so for example 4 and 2

4-2=2

4 x -2= -8

so now factorise:

d^2 +2d-8=0

d^2+4d-2d -8=0

d(d+4)-2(d+4)=0

d+4=0       d-2=0

d=-4          d=2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex] \sin(60) = \frac{ \frac{5 \sqrt{3} }{2} }{a} \\ a = \frac{ \frac{5 \sqrt{3} }{2} }{ \sin(60) } = 5 \\ \cos(60) = \frac{b}{5} \\ b = 2.5 = \frac{5}{2} [/tex]

Answer:

1.626 and then theres a lot more numbers

Step-by-step explanation:

Answer:

1.62614012e-7

Step-by-step explanation:

this is the answer to 7/9 to the 8th power

Answer:

the ans is 6x−y=22

(hope that helps can p lz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are six faces on the prism:

Two faces are 7 cm by 10 cm, area = 7×10 = 70 cm² each

Two faces are 7 cm by 3 cm, area = 7×3 = 21 cm² each

Two faces are 10 cm by 3 cm, area = 10×3 = 30 cm² each

surface area = 2(70) + 2(21) + 2(30) = 140 + 42 + 60 = 242 cm²

Answer:

I think that the answer is A

Answer:

x = 28

m∠ACD = 68°

Step-by-step explanation:

∠BAE ≅∠DAC because they are vertical angles

∠ACD = 180 - 124 = 56°

to find 'x':   56 + 2x + (180 - 4x) = 180

236 - 2x = 180

-2x = -56

x = 28

m∠ACD = 180 - 4(28)  =  180 - 112  =  68°

Answer:

30.3

Step-by-step explanation:

Think about this the 5 in the hundredth place rounds up not down so it would be 30.3 or 30.30 same thing.

Answer:

as the situation shows the formula

[tex](a + b) ^{2} [/tex]

so the value of K is 1

Answer:

(-4,-5)

Step-by-step explanation:

Start from the original point and go 8 units to the left and 7 units down and plot the point.

Answer:

-5

Step-by-step explanation:

y=mx+b

m is the slope

y=-5x-1

the slope is -5

Answer:

-5

Step-by-step explanation:

.

Answer: $10,298.80

Step-by-step explanation:

Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.

His Social Security tax is therefore:

= 6.2% * 132,900

= $8,239.80

There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.

Medicare = 1.45% * 142,000

= $2,059

FICA tax = Social security + Medicare

= 8,239.80 + 2,059

= $10,298.80

Answer:

x = 12

Step-by-step explanation:

ZY is a midsegment and is half the measure of SQ, that is

x + 2 = [tex]\frac{1}{2}[/tex] (3x - 8) ← multiply through by 2 to clear the fraction

2x + 4 = 3x - 8 ( subtract 2x from both sides )

4 = x - 8 ( add 8 to both sides )

12 = x

Answer:

No

Step-by-step explanation:

4a=a*a*a*a

4a is 4 times the variable a, not the variable a added to itself 4 times.

Answer:

Step-by-step explanation:

equation for x

according to the question

110°+x=180°

x=180°-110°

x=70°

equation for y

according to the question

[tex]11 {0}^{o} + {40}^{o} + y = 18 {0}^{o} [/tex]

[tex]15 {0}^{o} + y = 180^{o} [/tex]

[tex]y = 18 {0}^{o} - 15 {0}^{o} [/tex]

[tex]y = 3 {0}^{o} [/tex]

equation for z

according to the question

90°+x+z=180°

90°+70°+z=180° (since x=70°)

160°+z=180°

z=180°-160°

z=20°

Answer:

X= 70

Z= 20

y= 30°

Step-by-step explanation:

Finding X:

Sum of angle in a straight line is 180

Therefore X = 180-110

Finding z:

Sum of angle in triangle is 180, and it’s a right angled triangle (90°)

Z= 180-(x+90)

Z= 180-( 70+90)

Finding y, look at the big triangle ABC:

There’s a right angle and <C is 40°,

Therefore <B is 180-(40+90)= 50°

<B= y + z

50° = 20° + y

y= 30°

Answer:

D

Step-by-step explanation:

the range is D because the vertex, or maximum value of the graph is at y = -1. The graph then goes downward completely, so the range is numbers including and below -1.

Answer:

24yards

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 24 \ yards}}[/tex]

Step-by-step explanation:

The formula for a triangle's area is:

[tex]a= \frac{1}{2} bh[/tex]

We know the area is 36 square yards and the base is 3 yards.

[tex]a= 36 \ yd^2 \\b= 3 \ yd[/tex]

Substitute the values into the formula.

[tex]36 \ yd^2 = \frac{1}{2} (3 \ yd )h[/tex]

Divide by 1/2 or multiply both sides by 2.

[tex]2 * 36 \ yd^2 = \frac{1}{2} (3 \ yd )h *2[/tex]

[tex]72 \ yd^2= (3 \ yd)h[/tex]

We are trying to solve for the height, so we must isolate that variable. h is being multiplied by 3. The inverse of multiplication is division, so we must divide both sides by 3 yd.

[tex]\frac {72 \ yd^2}{3 \ yd}= \frac{(3 yd) h}{3 \ yd}[/tex]

[tex]24 \ yd =h[/tex]

The height of the triangle is 24 yards.

Answer: $‭373.08‬

Step-by-step explanation:

First find out what she earned from her normal wages.

She is paid $6.25 per hour for 30 hours in a week. Her weekly pay is therefore:

= 6.25 * 30

= $187.50

She then gets 8% of her sales as commission. Her commission is therfore:

= 8% * 2,319.75

= $‭185.58‬

Her gross pay is therefore:

= Weekly pay + Commission

= 187.50 + 185.58

= $‭373.08‬

Answer:

13%

Step-by-step explanation:

There are 40 pets in total, 26 pets are adopted on weekdays.

26/40=13/20=65/100=65%

65/5=13

13%

Step-by-step explanation:

the second equation should be multiplied by 9