In obtuse triangle ABC, mA = 104 and mC = 32. Find mB.

Answer:

$971(nine hundreds and seventy one dollars

This question is incomplete, the complete question is;

On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation

Probability              0.35     0.26     0.21      0.18

Amount gained     $100     $200   $300    -$15

Option;

a) $11,143

b) $106

c) $10,200

d) $147

Answer:

the standard deviation is 106

Option b) $106 is the correct Answer

Step-by-step explanation:

Given the data in the question;

let the random variable be x

x = amount gained by customers in a lucky draw contest

so

Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]

so

x              x²               p(x)        x.p(x)       x².p(x)

$100      10,000        0.35       35           3,500

$200     40,000       0.26       52          10,400

$300     90,000       0.21        63           18,900

-$15         225           0.18       -2.7          40.5

TOTAL                                   147.3         32,840.5

Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]

we substitute;

Variance (x) = 32,840.5 - (147.3)²

Variance (x) = 32,840.5 - 21,697.29

Variance (x) = 11,143.21

Now Standard Deviation = √variance

so, S.D = √11,143.21

S.D = 105.56 ≈ 106

Therefore, the standard deviation is 106

Option b) $106 is the correct Answer

Answer:

0.031

Step-by-step explanation:

1-0.973 = 0.027 ≈ 0.03

Answer:

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Step-by-step explanation:

Answer:

I don't know the answer to this

Answer:

The exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].

Step-by-step explanation:

Sine function is a bounded function between -1 and 1 and positive in the first and second quadrants. From statement we deduct that [tex]a[/tex] is in the first quadrant, that is, [tex]0^{\circ}< A < 90^{\circ}[/tex]. Then, we determine the angle by inverse trigonometric function:

[tex]A = \sin^{-1} \frac{3}{7}[/tex]

[tex]A \approx 25.377^{\circ}[/tex]

Then, the exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].

Answer: 68p+21

Step-by-step explanation:

Answer: Sample IQR appears to be a biased estimator since it consistently underestimated the population IQR.

Step-by-step explanation: Checked by Khan Academy

Sample IQR appear to be a biased estimator of population IQR.

An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.

Matilda was curious if sample interquartile range (IQR) was an unbiased estimator of population IQR.

She placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.

The IQR of the population is 16.

She then took a random sample of 5 balls and calculated the IQR of the sample.

She replaced the balls and repeated this process for a total of 50 trials. Her results are summarized in the dot plot below, where each dot represents the sample IQR from a sample of 5 balls.

Sample range appears to be a biased estimator since it consistently underestimated the population range.

The sample ranges appear to be centered below 32.

Therefore, the sample IQR is a biased estimator.

To learn more about the biased estimator;

brainly.com/question/26415101

#SPJ5

Answer:

Step-by-step explanation:-1/3(6x+18)+3x+5= -2x - 6 + 3x + 5 = x - 1. QED

Answer:

The unit price per ounce of flour is

Step-by-step explanation:

We can first change the 3 pound bag into ounces which is just 3x16=48 we can do this because 1 pound=16 ounces. Now we know there are 48 ounces so we divide 6.95/48

Which is .144791666...

9514 1404 393

Answer:

  ΔXXX ≅ ΔXXX

Step-by-step explanation:

All vertices have the same designation, so the congruence statement is ...

  ΔXXX ≅ ΔXXX

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Answer:

[tex]\frac{3}{5}[/tex]

Answer:

3/500

Step-by-step explanation:

Percent means

per hundred.

So we have the following.

0.6%=0.6 per hundred = 0.6/100

We next need to rewrite 0.6/100 so that is doesn't have a decimal in the numerator.

To do this, we multiply it by 10/10, which equals 1.

0.6/100 = 0.6/100 x 10/10 = 6/1000

(Note that we do not try to cancel when doing the multiplication.)

Our answer must be written in simplest form.

This fraction has a denominator of 1000.

So we can simplify it by focusing only on the factors 2 and 5.

In this case, we can divide both the numerator and denominator be 2.

6/1000 = 6 ÷ 2/1000 ÷ 2 = 3/500

We cannot use 2 or 5 to simplify further. So 3/500 is in simplest form.

So the answer is 3/500.

Answer:

32 packs of crayons

Step-by-step explanation:

480 divided by 15 equals 32.

Answer:

coeficiente, variables, exponentes, y el signo.

Answer:

[tex] - \frac{10}{9} [/tex]

Answer:

3562.6 m³

Step-by-step explanation:

In this question, we have to find the volume of a cylinder.

The formula to find the volume of a cylinder is V = πr²h

Plug in your values and solve.

Solve:

V = π(9)²(14)

V = π(81)(14)

V = π(1,134)

V = 3562.566069

Round to the nearest tenths place.

V = 3562.6

Don't forget that the units for volume is already cubed, or to the power of 3.

Your final answer would be 3562.6 m³

Answer:

unlikely hope it helps

Step-by-step explanation:

Answer:

b(1) = -3

b(n) = b(n-1) + 2

Step-by-step explanation:

Notice that there is a common difference in the sequence : each term is the previous one PLUS 2. Then the common difference "d" is 2 making this sequence an arithmetic sequence

b(1) = -3

b(n) = b(n-1) + 2

Answer:

B

Step-by-step explanation:

Answer:

the answer should be B

Step-by-step explanation:

Answer:

The probability that at least 1 defective card is in the sample is [tex]0.9644[/tex]

Step-by-step explanation:

Here

N = 140

and n = 20

We will use the below given formula

P(at least 1 defective) = 1 - P( 0 defectives)

P( 0 defectives) =

[tex]= \frac{^{20}C_0 * ^{120}C_{20}}{ ^{140}C_{20}}\\= 0.0356 1-0.0356 \\= 0.9644[/tex]

Answer:

396

Step-by-step explanation:

do 2378 ÷ 6 = 396

Step 1. 2378 ÷ 6 = 396

boom answer

Answer:

wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?

Round your answer to the nearest penny.

HERES THE CPI CHART FOR IT

Step-by-step explanation:

with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?

Round your answer to the nearest penny.

Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been

Answer:

The total money the coach will need for 40 basketballs will be 40 times price of one basketball.

Thus we need to find the price of one basketball.

$27 for 3 basketballs

Thus for one basketball, [tex]\frac{27}{3}[/tex] Which gives us,

'9'.

So for 40 basketballs 40 * $9

Which gives us $360.

The total money needed for sneakers is 7 times the cost of one sneaker.

So, we need to find the cost of 1 sneaker

which is [tex]\frac{90}{5}[/tex]  which gives us,

$18.

Thus total amount of money  needed for sneakers is 9 * $18 which gives us

$162

So total amount the coach has to pay is $360+$162 (total cost of basketballs + total cost of sneakers)

=$552

Therefore, total amount the coach has to pay is $552

Answer:

f = 2.25

Step-by-step explanation:

Given that,

[tex]f-\dfrac{3}{4}=1\dfrac{1}{2}\\\\f-\dfrac{3}{4}=\dfrac{3}{2}[/tex]

Adding 3/4 to both sides of the equation.

[tex]f-\dfrac{3}{4}+\dfrac{3}{4}=\dfrac{3}{2}+\dfrac{3}{4}\\\\f=\dfrac{6+3}{4}\\\\f=\dfrac{9}{4}\\\\f=2.25[/tex]

So, the value of f is equal to 2.25.

Answer:

The values of x are:

[tex]x=3,\:x=7[/tex]

Step-by-step explanation:

Given the expression

[tex](x-2)^2-6(x-2)+5=0[/tex]

Expand (x - 2)² = x² -4x + 4

[tex]x^2-4x+4-6\left(x-2\right)+5=0[/tex]

Expand: -6(x - 2) = -6x + 12

[tex]x^2-4x+4-6x+12+5=0[/tex]

simplifying

[tex]x^2-10x+21=0[/tex]

Factor  x² -10x + 21:  (x - 3) (x - 7)

[tex]\left(x-3\right)\left(x-7\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x-3=0\quad \mathrm{or}\quad \:x-7=0[/tex]

solving x - 3 = 0

x - 3 = 0

Adding 3 to both sides

[tex]x-3+3=0+3[/tex]

simplify

x = 3

solving x - 7 = 0

x - 7 = 0

Adding 7 to both sides

[tex]x-7+7=0+7[/tex]

Simplify

x = 7

Therefore, the values of x are:

[tex]x=3,\:x=7[/tex]

Answer:

48

Step-by-step explanation:

multiply 8x6 which is 48 .....8,16,24,32,40,48