What is the following product ? Assume y >= 0 3sqrt(10) * (y ^ 2 * sqrt(4) + sqrt(8y))

Answer:

NP=14

BC=44

Step-by-step explanation:

[tex]60-24-22=14\\NP=14\\MN=BP=PC\\BC=2(MN)\\BC=44[/tex]

Answer: V(X) = 0.96

Step-by-step explanation: Variance is defined as the average of the squared difference from the sample or population mean.

For a discrete frequency distribution is calculated following the steps:

1) Determine expected value or mean:

[tex]E(X)=\frac{\Sigma xf}{\Sigma f}[/tex]

[tex]E(X)=\frac{0(700)+1(900)+2(600)+3(300)}{2500}[/tex]

E(X) = 1.2

2) Multiply frequency and the squared difference of x and expected value:

[tex]f(x-E(X))^{2}[/tex]

[tex]700(0-1.2)^{2}=1008\\900(1-1.2)^{2} = 36\\600(2-1.2)^{2} = 384\\300(3-1.2)^{2} = 972[/tex]

3) Add them:

[tex]\Sigma [f(x-E(X))^{2}][/tex] = 1008 + 36 + 384 + 972 = 2400

4) Divide the sum per frequency total:

[tex]V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}[/tex]

[tex]V(X)=\frac{2400}{2500}[/tex]

V(X) = 0.96

The variance of the number of cups of coffee is 0.96.

Answer: 12:24

Step-by-step explanation:

You can’t have 12 students to each cookie

Answer:

D: 2 students for every cookie

Step-by-step explanation:

D does not represent the ratio of cookies to students because it claims there are 2 students to every cookie, where there are 2 cookies for every student.

Answer:

87 for lo and om is 56

Step-by-step explanation:

Answer:

<LON= 98 Degrees

Step-by-step explanation:

180-55(2)=70

70+28=98

Answer:

68

Step-by-step explanation:

derive that 25 percent of 68 equals 17.

Answer:

25 percent of 68 equals 17.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total = 3 + 1 + 4 = 8

Probability of two yellows:

Answer:67 or 66.549674907

Step-by-step explanation:

Man women baby

Answer:

40kg

Explanation:

a=2m/s^

f=20N

M=?

we know

f=m*a

or, 20=m*2

or, 2m=20

or, m= 20/2

:. m=10 kg

Answer:

9?

Step-by-step explanation:

Answer:

sorry dont understaand

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

whats the problem

Step-by-step explanation:

Answer:

yup

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

Answer:

the answer is [tex]x=4[/tex]

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

hope this helps :)

Answer:

L.C.M of 15 and 30 is 30.

Answer:

18

Step-by-step explanation:

The ratio of strawberry yogurt cups to all of the yogurt is 6:10.  We know that there are 30 total yogurt cups, which is the same as 3 times 10.  to find the number of strawberry cups, 6 should be multiplied by 3 as well to equal 18.  18:30 is still the same ratio as 6:10

Answer:

Yes the conclusion in the question  is a reasonable conclusion

Step-by-step explanation:

From the question we are told that

    The sample size is  [tex]n_1 = n_2 = n = 250[/tex]

     The sample mean for USA is  [tex]\= x_1 = 391 \ minutes[/tex]

     The sample mean for Mexico is [tex]\= x_2 = 426 \ minutes[/tex]

     The sample standard deviation for USA is  [tex]s_1 = 25 \ minutes[/tex]

    The sample standard deviation for Mexico is  [tex]s_2 = 49 \ minutes[/tex]

The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

The alternative hypothesis is  [tex]H_a : \mu_1 < \mu_2[/tex]

Generally the test statistics is mathematically represented as

        [tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }[/tex]

=>     [tex]z = \frac{ 391 - 426 }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }[/tex]

=>     [tex]z = -10[/tex]

From the z table  the area under the normal curve to the left corresponding to   -10  is

    [tex]p-value = P(Z < -10 ) = 0.00[/tex]

Generally from the value obtained we see that

  The p-value is  <  [tex]\alpha[/tex]  hence

The decision rule is

Reject the null hypothesis

The conclusion is  

 The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico

Hence the conclusion in the question is a  reasonable conclusion

The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis. This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.

Given :

According to the given data the sample size of the US and Mexico is [tex]\rm n_1=n_2=250[/tex].

The hypothesis are as follows:

Null Hypothesis is [tex]\rm H_0 : \mu_1=\mu_2[/tex]

Alternate Hypothesis is [tex]\rm H_1 : \mu_1<\mu_2[/tex]

Now, the mathematical representation of test statistics is:

[tex]\rm z = \dfrac{\bar{x_1}-\bar{x_2}}{\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}} }[/tex]

[tex]\rm z = \dfrac{391-496}{\sqrt{\dfrac{25^2}{250}+\dfrac{49^2}{250}} }[/tex]

z = -10

According to the z-table:

p - value = p (Z < -10) = 0

The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis.

This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.

For more information, refer to the link given below:

https://brainly.com/question/23044118

Answer:

f(x) = x³ - 2x² - x + 2

Step-by-step explanation:

Since, the graph attached has three zeros (x-intercepts) at x = -1, 1 and 2,

Equation of the given function will be,

f(x) = (x + 1)(x - 1)(x - 2)

By solving this equation,

f(x) = (x² - 1)(x - 2)

     = x²(x - 2) - 1(x - 2)

     = x³ - 2x² - x + 2

Therefore, answer  will be f(x) = x³ - 2x² - x + 2.

According to the given graph,

Three zeros,

The function will be:

→ [tex]f(x) = (x+1)(x-1)(x-2)[/tex]

By solving this, we get

          [tex]= (x^2-1)(x-2)[/tex]

          [tex]= x^2(x-2)-1(x-2)[/tex]

          [tex]= x^3-2x^2-x+2[/tex]

Thus the function above is right.

Learn more about cubic function here:

https://brainly.com/question/19707279

Answer:

1 gallon=3.79 liters  2 liter juice bottle would hold more

Step-by-step explanation:

Answer:

37.5% that is the answer

Step-by-step explanation:

The required common difference is 4.

An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.

Now it is given that,

the seventh term, T₇ = −9 and

the nineteenth term, T₉ =  39.

Let a be the first term, d is the common difference and n is the number of term.

Since Tn of the series is given as,

Tn = a + (n-1)d

Therefore,

T₇ = a + (7-1)d

⇒ -9 = a + 6d ...(i)

and,

T₉ = a + (19-1)d

⇒ 39 = a + 18d  ...(ii)

Subtracting equation (ii) by (i) we get,

48 = 12d

or, d = 48/12

⇒ d = 4

Thus, the required common difference is 4.

To learn more about sequence:

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Answer:

The container is filled to 87.5% of the maximum capacity.

Step-by-step explanation:

Given

Maximum capacity of container = m = 64 ounces

Filled capacity=> as it is 8 less than maximum capacity = 64-8 = 56 ounces

The container is 56 ounces full.

To find the percentage:

[tex]percentage = \frac{56}{64}*100\\= 0.875*100\\=87.5\%[/tex]

Hence,

The container is filled to 87.5% of the maximum capacity.

Answer:

she would take 140 minutes to run 15 miles

Step-by-step explanation:

28 X 5 os equal to 140

Answer:

139.95

Step-by-step explanation:

28 divided by 3 is 9.33 so 9.33x 15=139.95

Answer:

The answer is x = -1

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

5x-7=-12

5x=-5

x=-1

Answer:

3^x-1×27^x+1

___________

81^x

81^x+x-1+1

_________

81^x

81^2x

_____

81^x

81^2x-1x

81^1x

Answer:

7-x

Step-by-step explanation:

18-11=7

-6x+5x=-x

therefore, the answer is 7-x

The solution of the expression is,

⇒ - x + 7

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 18 - 6x + 5x - 11

Now, We can solve the expression as;

⇒ 18 - 6x + 5x - 11

Rearrange as;

⇒ - 6x + 5x + 18 - 11

Combine like term as;

⇒ - x + 7

Thus, The solution of the expression is,

⇒ - x + 7

Learn more about the mathematical expression visit:

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Answer:

y = 2x + 7

Step-by-step explanation:

Answer: try 18

Step-by-step explanation: