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AnnZ [28]
3 years ago
13

What is 2⋅4⋅−2 I need help with this exercise I don't understand

Mathematics
1 answer:
Mandarinka [93]3 years ago
5 0
////////////////////The answer is -16
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A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who
nalin [4]

Answer:

53.57%

Step-by-step explanation:

We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :

# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)

 = 10 * 3 = 30

That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.

# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56

That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:

P (3 girls and 2 boys) = 30/56 = 0.5357

Which means that the probability is 53.57%

8 0
3 years ago
2. On a scaled drawing, a building measures 4.5 cm tall. If the scale of the
kherson [118]
The answer is B because I did the math
4 0
3 years ago
SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school are given below
kvasek [131]

Answer:

The value of test statistics is 25.

Step-by-step explanation:

We are given below the SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school;

380, 520, 480, 510, 560, 630, 670, 490, 500, 550, 400, 350, 440, 490, 620, 660, 700, 730, 740, 560

<em>Let </em>\sigma<em> = population standard of the reading and writing section SAT score of the students in this school</em>

So, Null Hypothesis, H_0 : \sigma \leq 100     {means that the reading and writing section SAT score of the students in this school is lesser than or equal to 100}

Alternate Hypothesis, H_A : \sigma<em> </em>> 100     {means that the reading and writing section SAT score of the students in this school is higher than 100}

The test statistics that would be used here is <u>One-sample Chi-square</u> test statistics;

                        T.S. =  \frac{(n-1)s^{2} }{\sigma^{2} }  ~ \chi^{2} __n_-_1

where, s^{2} = sample variance =  \frac{\sum (X-\bar X)^{2} }{n-1}  = 13135.8

            n = sample of 11th-grade students = 20

So, <u><em>the test statistics</em></u>  =  \frac{(20-1)\times 13135.8^{2} }{100^{2} }

                                     =  24.96 ≈ 25

Hence, the value of test statistics is 25.

5 0
4 years ago
The black graph is the graph of y = f(x).<br> Choose the equation for the red graph.<br> (Picture)
Vesnalui [34]
What picture? Nothing is attached.
4 0
3 years ago
Find the sum of 6(1-a^2), -2(3-a+2a^2) and 5(-2a+3a^2)​
sasho [114]

Answer:

5a^2-8a

Step-by-step explanation:

6(1-a^2)-2(3-a+2a^2)+5(-2a+3a^2)

(6)(1)+(6)(-a^2)+(-2)(3)+(-2)(-a)+(-2)(2a^2)+(5)(-2a)+(5)(3a^2)

6+-6a^2+-6+2a+-4a^2+-10a+15a^2

(-6a^2+-4a^2+15a^2)+(2a+-10a)+(6+-6)

5a^2-8a

4 0
4 years ago
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