Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. SAS
D. None, not congruent

Answer:

The observed value of the chi-square statistic is 34.71

Step-by-step explanation:

Given the data in the question';

Calculate the observed value of the chi-square statistic

The chi-square statistic will be;

∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ]

here O[tex]_{i}[/tex] is observed frequency of [tex]_{i}[/tex]th class

E[tex]_{i}[/tex] is expected frequency of [tex]_{i}[/tex]th class

[tex]_{i}[/tex]  = 1, 2 which denote the class of food experts who guess correctly and who didn't guess correctly

so  

∈[tex]_{i}[/tex] = n × probability of not guessing correctly = 168 × 2/3 = 112

∈1 = n × probability of guessing correctly 168 × 1/3  = 56

so

∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ] = [ ( 92 - 56)² / 56 ] + [ ( 76 - 112)² / 112 ]

= 1296/56 + 1296/112

= 23.14 + 11.57

= 34.71

Therefore, the observed value of the chi-square statistic is 34.71

Answer: C. g^(-1) (x)= 1/(x+ 2)

Step-by-step explanation:

y=1/x-2

x=1/y-2

1/y-2=x

1/y=x+2

1=(x+2)y

1=xy+2y

xy+2y=1

(x+2)y=1

y=1/(x+2)

answer: g^(-1) (x)= 1/(x+ 2)

Answer:

1.83333333333

Step-by-step explanation:

pls mark me brainliest

ok thanks :) :) :) :)

The probability of an incorrect conclusion is,

In 84 % of inspection,  [tex]7.56\%[/tex]  of them labeled as not defective but they are actually defective

It is given that,

A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices.

Of the devices checked, 84% are not defective.

Actual not defective is,

            [tex]\frac{91*84}{100} = 76.44\%[/tex]

In  [tex]84\%[/tex] of inspection,[tex]76.44\%[/tex] are actually not defective

But [tex]84- 76.44 = 7.56\%[/tex]  of them labeled as not defective but they are actually defective

Learn more about Probability here:

https://brainly.com/question/24756209

Answer:

35°

Step-by-step explanation:

4x+11 = 5x-24

5x-4x=x

x=24+11

x=35

Answer:

1,2,3,4,6,8,9,12,18,24,36,72.

Step-by-step explanation:

What you are looking for are numbers that multiply by each other to equal 72, like 1 and 72 or 8 and 9. Factor tree may help, search it up :)

Answer:

i'm not sure if i'm right but think is cube

$420+$350+$432=kelsey's monthly expenses  

$700+$800=Micheal's Monthly expenses

Michael's average monthly expenses are $750.

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, Kelsey spent $350 in May, $432 in June and $420 in July.

Now, average monthly expenses are

(350+432+420)/3

= 1202/3

= 400.67

Michael spent $700 in April and May and $800 in June and July.

Here, (700×2+800×2)/4

= (1400+1600)/4

= 3000/4

= $750

Therefore, Michael's average monthly expenses are $750.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ2

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

Answer:

$44,313.75

Step-by-step explanation:

First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.

0.101 km * 1000= 101 meters

0.065 km * 1000 =  65 meters

Now we need to multiply these values together to find the area of the field

101m * 65m = 6,565[tex]m^{2}[/tex]

Finally, we need to multiply this area by the cost per square meter

6,565[tex]m^{2}[/tex] / 6.75 = $44,313.75

The total repair will cost $44,313.75

Answer: c

Step-by-step explanation: because 7 squared is 49 and 8 squared is 64

nvm i read the question wrong

Step-by-step explanation:

the person above is correct

Answer:

-4

Step-by-step explanation:

3x-2(6-x)=7x+2(5+x)-6

First, distribute.

3x+ −12+ 2x = 7x + 10 + 2x −6

Combine like terms on each side.

5x − 12= 9x + 4

To solve for x, pick a side to solve. I will solve the right x.

5x - 12 = 9x + 4

-5x         -5x

-12 = 4x + 4

Subtract 4 to isolate the variable.

-16 = 4x

Divide 4.

-4 = x

Answer:

33dollors if I'm not mistakin

Answer:

Anything??

Step-by-step explanation: (Im joing btw didnt want to offend anyone lol)

x=40

Answer:

Step-by-step explanation:

There is no bird on the spinner. therefore the answer is impossible because there is no bird.

Answer:

Impossible - There's no bird on the wheel.

Step-by-step explanation:

Answer:

i think it’s b

Answer:

37.5 is the answer

Step-by-step explanation:

all you do is just multiply the 2 numbers

Answer:there were 80 more tickets sold for balcony seats than for orchestra seats

Step-by-step explanation:

Step 1

Let number of tIcket for balcony be represented as x

and

Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be

X+ Y = 300--- equation 1

And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as

4x + 7.50y = 1585----- equation 2

Step 2

X+ Y = 300--- equation 1

4x + 7.50y = 1585----- equation 2

Multiplying equation 1 by 4 and subtracting from equation2

4x + 7.50y = 1585

-4x+4y= 1200

3.50y =385

y =385/3.50

y=110

To find x, when y=110

X+ Y = 300--- equation 1

x+110=300

x= 300-110= 190 tickets

balcony seats  tickets = 190

orchestra seats tickets = 110

Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats

Answer:

9

Step-by-step explanation:

because 9 in a third is 3

3 + 12 is 15

9x2 is 18

and 15 is 3 less than 18

Answer:

5, -20

Step-by-step explanation:

Given the equation (3m+2n−6) and (−4−6m+7n).

Also, given that we're told that

n = -2 and

m = 5, if we take a rather direct approach by substituting like for like, we have

(3m+2n−6) = (3 * 5 + 2 * -2 - 6)

(3m+2n−6) = 15 - 4 - 6

(3m+2n−6) = 15 - 10

(3m+2n−6) = 5

(−4−6m+7n) = (-4 - 6 * 5 + 7 * 2)

(−4−6m+7n) = -4 - 30 + 14

(−4−6m+7n) = -34 + 14

(−4−6m+7n) = -20

Therefore, we proceed to conclude that the answers are 5 and -20 respectively

Answer:

a.(2 × 25) + 105

Step-by-step explanation:

Let the number of hours spent repairing the bike = x

Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle.

Therefore, our algebraic expression

= $25× x + $105

= 25x + 105

We were told in the question that He spent 2 hours repairing her bike.

Hence:

25 × 2 + 105

Therefore, the correct option is option a

a.(2 × 25) + 105

Answer:

The answer is y = 6x + 9.

-

Step-by-step explanation:

☆Remember: [tex]m =  \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Slope-intercept: [tex]y = mx + b[/tex]

---

☆We need to find the slope first. So just plug in according to the slope formula!

[tex]m =  \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6[/tex]

---

☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

[tex]y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]

---

☆Now all we need to do is plug in and we are done!

[tex]y = 6x + 9[/tex]

▪Happy To Help <3

Answer:Sorry

Step-by-step explanation:

Hi would help but i dont know and im not in collage sorry.

Answer:

a compound interest that has the lowest interest rate .  

Step-by-step explanation:

Answer:

£200

Step-by-step explanation:

Answer:

3600

Step-by-step explanation:

If she has 800 her teacher gives her 3000= 3800 and she gave 100 to both of her friends - 200 then she will have 3600.

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia