What is the area of AABC?
B
2
X2
O
2
A
6
O A 26
B 13
OC 226
D
26

Answer:

10.2a+3+3a-1+a

= 6a+2

=2(3a+1)

11)2y-1+3y-2+2y+2+2y-2+y

=10y-3

Answer:

first x= -2

second x= 2

third x= 4

Answer: B

Step-by-step explanation:

Process of elimination:

A: 1 or 2 is 2 favorable outcomes

2/6 or 1/3

one third of 300 is 100, not 50

B: 2, 4, and 6 are even numbers (3 favorable outcomes)

3/6 or 1/2

1/2 of 300 is 150

I say the answer is B. Sorry if I’m wrong.

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-163 - 0}{77.3144}[/tex]

[tex]z = -2.11[/tex]

The test statistic is z = -2.11.

Answer:

8(3f + 7g)

Step-by-step explanation:

The GCF of 24 and 56 is 8.

24f + 56g

8(3f + 7g)

Answer:

Length= 19

Width=16

Step-by-step explanation:

(16x2)+(19x2)=70

38+32=70

Answer: infinite solutions

Step-by-step explanation:

Answer:

don't know sorry

Step-by-step explanation:

Answer:

90+51+x=180(sum of interior angles of a triangle)

141+x=180

x=180-141

x=39 degree

Step-by-step explanation:

Answer:

335 mm²

Step-by-step explanation:

This will be so easy, that you can do it in the future by yourself!

Okay let's start by splitting this figure, the easiest way seems to be by cutting off that little part, you know what just let me show a picture.

Okay you shuold be able to see the picture, so the small square has an area of 20, since 5 times 4 is 20 mm! The larger square has an area of 315!

How did I find this? Take that small 10mm in the side and add it to 5mm, that would be 15. 15 times the bottom the width, it would be 15 * 21. 15 times 21 is equal to 315.

Now, we add both those areas together, to get ourselves a nice little 335 mm²

I hope that helped, have a great day!!

Answer:

А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.

Step-by-step explanation:

Given that,

Length of fabric = 1.3 meters

We know that,

1 m = 100 cm

⇒1.3 m = (1.3)×100 = 130 cm

⇒1.3 m = 130 cm

Now,

We know that

1 inch = 2.54 cm

and

1 cm = 0.3937 inches

⇒130 cm = (130)×(0.3937) inches

               = 51.181 inches

⇒130 cm = 51.181 inches

Now,

Given that,

Cost of 1 inch = $0.45

⇒Cost of 51.181 inches = $(51.181)×(0.45)

                                     = $ 23.03

∴ we get

The cost of fabric = $23.03

and

The correct option is - А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.

Answer:

Country A won 79 medals, country B won 29 medals and country C won 16 medals.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Country A won x medals.

Country B won y medals.

Country C won z medals.

Total of 124 medals:

This means that [tex]x + y + z = 124[/tex].

Country B won 13 more medals than Country C.

This means that [tex]y = z + 13[/tex]

Country A won 34 more medals than the total amount won by the other two.

This means that:

[tex]x - (y + z) = 34[/tex]

From the first equation, we have that:

[tex]y + z = 124 - x[/tex]

So

[tex]x - (y + z) = 34[/tex]

[tex]x - (124 - x) = 34[/tex]

[tex]2x - 124 = 34[/tex]

[tex]2x = 158[/tex]

[tex]x = \frac{158}{2}[/tex]

[tex]x = 79[/tex]

Finding z:

Since [tex]x = 79, y = z + 13[/tex]

[tex]x + y + z = 124[/tex]

[tex]79 + z + 13 + z = 124[/tex]

[tex]2z + 92 = 124[/tex]

[tex]2z = 32[/tex]

[tex]z = \frac{32}{2} = 16[/tex]

Finding y:

[tex]y = z + 13 = 16 + 13 = 29[/tex]

Country A won 79 medals, country B won 29 medals and country C won 16 medals.

Answer: 94.80

Step-by-step explanation:

First, let's divide the salary she made from 5 hours of work by 5 in order to see how much she makes in a single hour.

[tex]\frac{59.25}{5} = 11.85 per hour[/tex]

Multiply this by 8 to find her amount made in 8 hours.

11.85 x 8 = 94.80

Answer:

3

Step-by-step explanation:

Answer:

Angle M and N is 45 degrees, and the length of NP is approximately 6 cm

Step-by-step explanation:

With angle P being 90 degrees. The angles of M and N, must add up to 90 degrees as well.

 *triangles add up to a total of a 180 degrees, (180 - 90 = 90)

   9 ÷ 2 = 45

   So: ∠M = 45° and ∠N = 45°

To find the length of NP, use the pythagorean theorem.

a² + b² = c²

a = MP = 5

b = NP = x

c = MN = 7.8

(5)² = 25

(7.8)² = 60.48

25 + x² = 60.48

x² = 60.48 - 25

x² = 35.84

x = √35.84

x = 5.986 = 5.99

NP = 5.99 = 6

Answer:

[tex]5(3x) - 3(7x - 2) \\ = 15x - 21x + 6 \\ = - 6x + 6 \\ = 6(1 - x)[/tex]

Answer:

-6x+6

Step-by-step explanation:

sentence:-

If two lines intersect, then the vertical angles formed are equal.

1) If the vertical angles are not equal, then lines do not intersect.

2) If the two lines do not intersect, then the vertical angles are not equal.

3) If the vertical angles are equal, then the two lines intersect.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

◇[tex] sentence:-[/tex]

If two lines intersect, then the vertical angles formed are equal.

1) If the vertical angles are not equal, then lines do not intersect.

◇[tex]\sf{it is CONTRAPOSITIVE}[/tex]

2) If the two lines do not intersect, then the vertical angles are not equal.

◇[tex]\sf{it is INVERSE}[/tex]

3) If the vertical angles are equal, then the two lines intersect.

◇[tex]\sf{it is CONVERSE}[/tex]

Answer:3

Step-by-step explanation:

The probability that the number of students who take orchestra as an elective is 1/4 and the number of students who joined extra is 4

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the number of students who take orchestra as an elective be represented as P

Now , the equation will be

The total number of students = 16 students

The number of students who opted for orchestra as elective = 4 students

So , the probability that the number of students who take orchestra as an elective P = number of students who opted for orchestra as elective / total number of students

Substituting the values in the equation , we get

The probability that the number of students who take orchestra as an elective P = 4/16

The probability that the number of students who take orchestra as an elective P = 1/4 = 25 %

Now , when the number of students = 16 + 12 = 28 students

The probability that the number of students who take orchestra as an elective P₁ = ( x + 4 ) / 28

Substituting the values in the equation , we get

1/4 = ( x + 4 ) / 28

Multiply by 28 on both sides of the equation , we get

x + 4 = 7

Subtracting 4 on both sides of the equation , we get

x = 3 students

So , the number of students who will take orchestra from the group of 12 students is 3 students

Hence , the probability is 1/4

To learn more about probability click :

https://brainly.com/question/17089724

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Answer:

16(6g + 5f)

Step-by-step explanation:

To factor the equation:

96g + 80f

16(6g + 5f)

Answer:

I will just guess 1/11 is what ur saying so a and b or 0.0909

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.

Therefore, the correct answer is C. the sample had to have been selected without replacement.

Learn more about the sample here:

https://brainly.com/question/11045407

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A. 17p

Step-by-step explanation:

hope this helps ya :)

Answer:

1080

Step-by-step explanation:

Answer:

Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.

Step-by-step explanation:

:D

9514 1404 393

Answer:

  5.04 seconds

Step-by-step explanation:

Assuming the ball is in the air until f(x) = 0, we want to find x such that ...

  0 = -5x² +25x +1

  0 = x² -5x -1/5 . . . . . divide by -5

  1/5 = x² -5x . . . . . . . add 1/5

  1/5 +25/4 = (x² -5x +25/4) . . . . complete the square

  129/20 = (x -5/2)² . . . . . . . . . . write as a square

  x = 5/2 +√(129/20) ≈ 5.039685 . . . . square root, add 5/2

The ball stays in the air about 5.04 seconds.

Answer:

:)))))))))))))))))) boring

Answer:

Doing alright.

Thanks for asking.

Step-by-step explanation:

to answer, there are 4 angles in a rectangle. each angle has the same measure. 360/4=90. the angle measures 90 degrees

9514 1404 393

Answer:

  (b)  65 degrees

Step-by-step explanation:

When angles are complementary, their total is 90°. The measure of the other angle is ...

  90° -25° = 65° . . . . . the measure of the other angle

Answer:

[tex]0.0004[/tex]

Step-by-step explanation:

To start off, find out the probability that if you chose a number at random, you would pick a certain number. To do this count how many numbers you have, in this case it's 10. So if each of the numbers had the same chance to be picked, the probability of picking a certain number is [tex]\frac{1}{10}[/tex].

The same thing goes for the letters. Count how many you have, in this case it's the whole alphabet, so, 26 letters. Therefore, the probability of picking a certain letter is [tex]\frac{1}{26}[/tex].

Now for how we can use these probabilities. We want the probability that the code is a 7 AND a 4 AND a M. Because we are using AND and not OR, we should use the multiplication rule which is: [tex]P(Aand B) = P(A)[/tex] × [tex]P(B)[/tex].

Using this rule we can do the calculation: [tex]P(AandBandC) = P(A)[/tex] × [tex]P(B)[/tex] ×[tex]P(C)[/tex]

In this case, [tex]P(A) =\frac{1}{10}[/tex] , [tex]P(B) =\frac{1}{10}[/tex] and [tex]P(C) = \frac{1}{26}[/tex].

[tex]\frac{1}{10}[/tex] × [tex]\frac{1}{10}[/tex] × [tex]\frac{1}{26}[/tex] [tex]= 0.0003846...[/tex]

We can round this to [tex]0.0004[/tex]