What is the length of leg s of the triangle below?
459
872
90+
45
A. 8
B. v
C. 8-12
D. 4.2
E. 1
F. 2

Answer:

employment plan for the next 12 months is not independent of the type of company

Step-by-step explanation:

H0 : employment plan for the next 12 months is independent of the type of company

H1 : employment plan for the next 12 months is not independent of the type of company

The Chisquare statistic, χ² :

χ² = (observed - Expected)²/ Expected

Given the data:

Observed values :

_________________ Company

Emp plan ________ private _____ public _total

Add employees _____ 37 ________ 32 __ 69

No change__________19 ________ 34 __53

Layoff employees ____ 16 ________ 42__58

Total ______________72 ________108 _ 180

The expected value counts :

(Row total * column total) / grand total

Expected Values:

27.6 ___41.4

21.2 ___ 31.8

23.2 ___34.8

Chi-Squared Values:

3.20145 ___2.1343

0.228302__ 0.152201

2.23448 ____1.48965

χ² = (3.20145 + 2.1343 + 0.228302 + 0.152201 + 2.23448 + 1.48965)

χ² = 9.440383

Degree of freedom, df (row - 1) * (column - 1) = (3-1) * (2 - 1) = 2 * 1 = 2

Pvalue from Chisquare statistic, df = 2

Pvalue = 0.008913

Since ;

Pvalue < α ; We reject the null and conclude that employment plan for the next 12 months is not independent of the type of company.

Answer:

(A - B)' = {2, 4, 5, 6, 7, 8, 9}

(A n B) = {2, 4}

Step-by-step explanation:

Given the set :

U = { 1 , 2 , 3 , 4 , 5 ,6 , 7 , 8 , 9 }

A={1 , 2 , 3 , 4 } , B= {2 , 4 , 6 , 8 }

(A - B) = elements of A which are not in B

(A - B) = {1, 3}

(A - B)' = the complement of A - B ; element in the universal set which are not in A - B

(A - B)' = {2, 4, 5, 6, 7, 8, 9}

(A n B) = elements in both set A and set B

(A n B) = {2, 4}

Answer:

HI=15

Step-by-step explanation:

HI=sqrt(17^2-8^2)=sqrt(225)=15

P=8+15+17=40

S=8*15/2=60

Answer:

Step-by-step explanation:

for side HI

hypotenuse = 17

other two sides are 8 and HI . Hi has to be find so let it be x.

using pythagoras theorem

a^2 + b^2 = c^2

x^2 + 8^2 = 17^2

x^2 + 64 = 289

x^2 = 289 - 64

x^2 = 225

x = [tex]\sqrt{225[/tex]

x = 15

for angle G

take angle G as reference angle

using sin rule

sin G = opposite / hypotenuse

sin G = 15 / 17

sin G = 0.882

G = [tex]sin^{-1} (0.882)[/tex]

G = 61.884°

G = 61.88°

for angle I

angle G + angle H + angle I = 180 degree (being sum of interior angles of a triangle)

61.88° + 90° + angle I = 180°

151.88° + angle I =180°

angle I = 180°- 151.88°

angle I = 28.12°

Answer:

24/40

Step-by-step explanation:

You can multiply both the numerator and denominator by any number

Option #3: Lets multiply by 1/2 since when you multiply 6*1/2 it equals 3 and that is the same numerator as option #3 and so now let's do the same again to the denominator 10*1/2 equals 5 and that is NOT equal to 6 in the denominator for option #3 and you can't get 3 any other way than multiplying by 1/2 (same as *.5) and so it is wrong.

Now since we know how to do it I'll just do the math for the rest.

Option 1:

6/10

6*2/10*2

12/20 and that doesn't match so it's wrong.

Option 2:

6/10

6*4/10*4

=

24/40

It matches so it's correct let's try option 4 just to check.

Option 4:

6/10

6*2/10*2

12/20

that doesn't match so it's wrong (you could have tried multiplying by decimals by I doubt you are there to that kind of math yet.)

Answer: 24/40

Answer:

The mean is 6.14

Step-by-step explanation:

Given

See attachment

Required

The mean

Mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{5 * 4 + 10 * 6 + 14 * 7}{29}[/tex]

[tex]\bar x = \frac{178}{29}[/tex]

[tex]\bar x = 6.14[/tex]

Answer:

50%

Step-by-step explanation:

50% of the student population chooses instramural volleyball, meaning 50% doesn't. So if a random student is chosen, then it is a 50% chance that they will choose volleyball and 50% chance they won't.

Answer:

h≈2.65cm

r Radius

3

cm

V Volume

75

cm³

Using the formula

V=πr2h

Solving forh

h=V

πr2=75

π·32≈2.65258cm

hope it's help ful

Answer:

4/15 gallon per bottle

Step-by-step explanation:

First, we find the remaining fraction of fertilizer after using 1/5. Using our fraction calculator, we see:

1 - 1/5 = 4/5

To find the amount of fertilizer per bottle, we then divide 4/5 by 3 and we get:

4/15 gallon per bottle

Answer:

12.906%/year

Step-by-step explanation:

Given data

Principal= $1000

Final Amount= $1900

Time= 5 years

The compound interest formula is given as

A= P(1+ r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)1/nt - 1]

r = 12 × [(1,900.00/1,000.00)1/(12)(5) - 1]

r = 0.12906

Then convert r to R as a percentage

R = r * 100

R = 0.12906 * 100

R = 12.906%/year

Answer:

a+2b

Step-by-step explanation:

2(a+2b)-a-2b

2a+4b-a-2b

=a+2b

Answer:

Step-by-step explana:2 ( a+ 2b) - a- 2b

=2a + 4b - a - 2b= a + 2b  

Answer:

3/7

Step-by-step explanation:

Expected Value:

3(1/7) + 1(2/7) + 0(2/7) - 1(2/7) = 3/7

Expected value when we take one spin = 3/7

It is the sum of values multiplied by their respective probabilities.

We have 2 red, 2 purple, 2 yellow, and 1 blue sector.

Total number of Sectors = 7

∴Probability of landing on red sector = 2/7

∴Probability of landing on purple sector = 2/7

∴Probability of landing on yellow sector = 2/7

∴Probability of landing on blue sector = 1/7

Points on blue sector = 3, on yellow sector = 1, on purple sector = 0, and on red sector = -1.

X 3 1 0 -1

P(X) 1/7 2/7 2/7 2/7

Expected Value = ∑X.P(X)

=3.(1/7) + 1(2/7) + 0(2/7) - 1(2/7)

= 3/7

Learn more about Expected Values on

https://brainly.com/question/15858152

#SPJ2

Answer:

[tex]V=6912ft^3[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter  [tex]D=40ft[/tex]

Radius [tex]r=d/2=>20ft[/tex]

Depth at south [tex]d_s=3ft[/tex]

Depth at north [tex]d_n=8ft[/tex]

Average depth of the pool

 [tex]d_a=\frac{3+8}{2}[/tex]

 [tex]d_a=5.5ft[/tex]

Generally the equation for Volume is mathematically given by

 [tex]V=\pi r^2h[/tex]

 [tex]V=3.142*(20)^25.5[/tex]

 [tex]V=6912ft^3[/tex]

Answer:

Step-by-step explanation:

W=2L-2

A=72

LW=72

L(2L-2) = 72

2L^2 -2L= 72

2L^2 -2L-72=0

L^2 - L -36 = 0

L= -5.52 or 6.52(neg # not a solution)

W=11.04

L=6.52

DIAG = [tex]\sqrt{11.04^2+6.52^2}[/tex] = 12.82

~~~~~~~~~~~~~~

Step-by-step explanation:

answer in the image above

Answer:

98

Step-by-step explanation:

x(o) + 1(o)  = 180(o)

∠2° = ∠x°

∠1° = ∠3°

Answer:

angle 2 is 82 also and angle 3 and 4 is 180 - 82 = 98

Answer:

The z-score for a home priced at $200,000 in Florida is of -2.5.

The z-score for a home priced at $200,000 in Ohio is of 2.5.

The closeness to the mean is measured by the absolute z-score(disconsidering the signal, the lower the score, the closer to the mean). However, in this case, both z-scores have the same absolute value, so in both Florida and Ohio a home priced at $200,000 is equally close to the mean.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean price for a 2,000sq foot home in FL is $240,000 with a Standard Deviation of $16,000. Home of $200,000.

This means that [tex]\mu = 240, \sigma = 16, X = 200[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{200 - 240}{16}[/tex]

[tex]Z = -2.5[/tex]

The z-score for a home priced at $200,000 in Florida is of -2.5.

The mean price of the same sized home in OH is $170,000 with a standard deviation of $12,000. Home of $200,000.

This means that [tex]\mu = 170, \sigma = 12, X = 200[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{200 - 170}{12}[/tex]

[tex]Z = 2.5[/tex]

The z-score for a home priced at $200,000 in Ohio is of 2.5.

Which state would a home priced at $200,000 be closer to the mean price, compared to the distribution of prices in the state?

The closeness to the mean is measured by the absolute z-score(disconsidering the signal, the lower the score, the closer to the mean). However, in this case, both z-scores have the same absolute value, so in both Florida and Ohio a home priced at $200,000 is equally close to the mean.

Answer:

The seelijg price is $48.

Step-by-step explanation:

Markup is the amount a store adds to its cost of an item to come up with the selling price.

store cost + markup = selling price

If the markup on an item is 50%, then the store adds 50% of its cost to its cost to arrive at the selling price.

$32 + 50% of $32 =

= $32 + 0.5 * $32

= $32 + $16

= $48

Answer:

50% of 32 is 16 so it it 16$

Solution :

We have :

X            0     1          2    3   4

P(X)     0.10   A    0.35   B    C

a). P(X < 2) = 0.35

P(X < 2) = P(X = 0) + P(X = 1) = 0.35

⇒ 0.10 + A = 0.35

⇒ A = 0.25

So the value of A is 0.25

b). The total probability = 1

So ,

0.10 + A + 0.35 + B + C = 1

0.10 + 0.25 + 0.35 + B + C = 1

B + C  = 1 - 0.70

B + C  = 0.30  ......(i)

We have the expected value = 1.9

So, [tex]$\sum X P(X) = 19$[/tex]     for x  = 0, 1, 2, 3, 4

⇒ (0 x 0.10) + (1 x 0.25) + (2 x 0.35) + (3 x B) + (4 x C) = 1.9

⇒ 0 + 0.25 + 0.70 + 3B + 4C = 1.9

⇒ 3B + 4C = 1.9 - 0.95

⇒ 3B + 4C = 0.95   ...................(ii)

From (i), we take the value of B = 0.30 - C and substitute it in the equation (i), we get,

⇒ 3( 0.30 - C) + 4C = 0.95

⇒ 0.90 - 3C + 4C = 0.95

⇒ C = 0.95 - 0.90

       = 0.05

Now substituting the value of C = 0.05 in (ii), we get,

⇒ B = 0.05 = 0.30

⇒ B = 0.25

c). The value of C is 0.05

Answer: 21 days overdue

Explanation: Since her fine was same as the amount on the following day. 21 will be closest to the number of day overdue so it is 21 days.

Answer:

22

Explanation:

 They are saying that it has to be the closest number to the number of days overdue, cannot be neither 10 nor 14, and it cannot be 18 because that's one day from the days it's been overdue, and the question is saying: Her fine was the same as the amount on the following day. The graph shows us that it is about 1 more day than 18, so the only reasonable answer here is 22.

Also, I got it correct on edg =)

Answer:

Step-by-step explanation:

o.6214 miles= 1km

1 mile=1/0.6214 =(10000)/6214 km

38 miles=(10000)/6214 ×38 ≈61.1 km/hr

Answer:

Step-by-step explanation:

Let the required number is x, then we have:

Answer:

We get 666 of something in $ 10.

Step-by-step explanation:

Given that :-

We get 1000 of something for $ 15

Find that :-

How much we can get it in $ 10

Let as assume that : -

Solution :-

$ 15 = $ 10

1000 = x

Using cross multiplication method

15 × x = 10 × 100 0

multiply ,

15 x = 10000

Divide each side by 15.

15 x / 15 = 10000 / 15

x = 666

Step-by-step explanation:

We can use a tree diagram to help list all the possible outcomes.

probability tree coin dice

From the diagram, n(S) = 12

This may help you....

plzzz mark me as brainlist....

Answer:

p=2

q=9

Step-by-step explanation:

4p+5q=53

6p+5q =57

9514 1404 393

Answer:

Step-by-step explanation:

The secondary voltage is proportional to the primary voltage. The constant of proportionality is the ratio of secondary turns to primary turns.

The secondary voltage is ...

  (200/500)(220 V) = 88 V

__

A transformer does not change the frequency.* The voltage in the secondary coil is still 50 Hz.

_____

* Most transformers are designed to operate as linear devices. It is possible to design a transformer (with special core material) that operates non-linearly, and/or that is "tuned" to a frequency other than the one exciting the primary. That is, the secondary voltage may be some harmonic of the primary voltage. This would be a relatively unusual application of a transformer, beyond the apparent scope of the question here.

Answer:

Espera espera espera.......

primer miembro es el independiente

incógnitas es la letra literal x b y c m

coeficiente es el resultado de la división

terminos independientes son aquellos los que no tienen cualquier letra 18 16 8

Step-by-step explanation:

espero que ayude

Answer:

12.2

Step-by-step explanation:

2.3%= 0.023

So that is the probability that it will be over 13.2 oz, or .977 is the prob that it will be below 13.2

z-score = (real score - mean)/standard deviation

I found .977 at a z-score of 2.00

so 2.00 = (13.2-m)/0.5

=> m=12.2

Answer:

SSS (side, side, side)

hope it helps:))!!!

9514 1404 393

Answer:

  15

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  f(-3) = (-3)² -2(-3) = 9 +6

  f(-3) = 15

15

Step-by-step explanation:

f(-3)=(-3)^2 - 2(-3)

= 9 + 6 = 15