Which of the following is a binomial?

Answer:

The probability is [tex]P(X  \le 2 ) = 0.9072[/tex]

The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) =  9.2\%[/tex] of the shipment , so many of the shipment are rejected

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  36

   The  proportion that did not meet the requirement is  [tex]p =  0.03[/tex]

Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as

     [tex]P(X  \le 2 ) = [ P(X =  0 ) +  P(X =  1 ) + P(X = 0)][/tex]

=>   [tex]P(X  \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] +  [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] +  [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]][/tex]

Here C stands for Combination (so we will be making the combination function in our  calculators )

So

=> [tex]P(X  \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] +  [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] +  [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]][/tex]

=> [tex]P(X  \le 2 ) = [ [1 * 1 * 0.3340  ] +  [36* 0.03 *0.3444 ] +  [630 * 0.0009 *(0.355 ]][/tex]

=>[tex]P(X  \le 2 ) = 0.9072[/tex]

The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) =  9.2\%[/tex] of the shipment , so many of the shipment are rejected

Answer:

-1.4

Step-by-step explanation:

opposite of -1.4 = 1.4

opposite of the opposite of -1.4 = the opposite of 1.4 = -1.4

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

[tex]33.55 <  \mu < 35.5[/tex]

b

[tex]34.03 <  \mu < 34.969 [/tex]

c

Generally the width at  n =  49 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.952 [/tex]

     [tex]w =  1.904 [/tex]

Generally the width at  n =  196 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.4687 [/tex]

     [tex]w =  0.9374  [/tex]

d

The correct option is E

Step-by-step explanation:

From the question we are told  that

   The sample mean is  [tex]\= x  =  34.5[/tex]

    The standard deviation is  [tex]s =  3.4[/tex]

Generally given that the confidence level is 95% then the level of significance is  

       [tex]\alpha = (100 -  95)\%[/tex]

=>     [tex]\alpha = 0.05 [/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Considering question a

From the question  n  =  49

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96*  \frac{ 3.4 }{\sqrt{49} }[/tex]

=>   [tex]E =  0.952 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  p <  \=x  +E[/tex]

      [tex]34.5 -0.952 <  p < 34.5 + 0.952[/tex]

=>    [tex]33.55 <  \mu < 35.5[/tex]

Considering question b

From the question  n  =  196

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96*  \frac{ 3.4 }{\sqrt{196} }[/tex]

=>   [tex]E =  0.4687 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  p <  \=x  +E[/tex]

      [tex]34.5 -0.4687 <  p < 34.5 +0.4687[/tex]

=>   [tex]34.03 <  \mu < 34.969 [/tex]

Considering question c

Generally the width at  n =  49 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.952 [/tex]

     [tex]w =  1.904 [/tex]

Generally the width at  n =  196 is mathematically represented as

   [tex]w =  2 *  E[/tex]

    [tex]w =  2 *  0.4687 [/tex]

     [tex]w =  0.9374  [/tex]

Now when the sample size is quadrupled i.e from n = 49 to  n =  196  

The width of the  confidence interval  decrease by 2 from 1.904 to  0.9374  

Answer:

x = 2 ± √ 3

Step-by-step explanation:

Answer:

what do I need to do to answer

Step-by-step explanation:

18 + 7/9

14 + 7/8

First, rewrite each fraction in terms of a common denominator. 8 and 9 don't share a common multiple until 8 * 9 = 72, so we have

7/9 = (7/9) • (8/8) = (7 • 8)/(9 • 8) = 56/72

7/8 = (7/8) • (9/9) = (7 • 9)/(8 • 9) = 63/72

Next, write each whole number in terms of fractions with the same denominator. We have

18 • 72 = 1296  ==>  18 = 1296/72

14 • 72 = 1008  ==>  14 = 1008/72

Write each mixed number as an improper fraction:

18 + 7/9 = 1296/72 + 56/72 = (1296 + 56)/72 = 1352/72

14 + 7/8 = 1008/72 + 63/72 = (1008 + 63)/72 = 1071/72

If the backpack and book together weigh 18 + 7/9 pounds, and the backpack without the book weighs 14 + 7/8 pounds, then the book alone weighs the difference, call it b :

b = (18 + 7/9) - (14 + 7/8)

b = 1352/72 - 1071/72

b = (1352 - 1071)/72

b = 281/72

Convert this to a mixed number. 72 • 4 = 288, so 72 • 4 - 7 = 281:

b = (72 • 4 - 7)/72

b = (72 • 4)/72 - 7/72

b = 4 - 7/72

b = (3 + 1) - 7/72

b = 3 + (1 - 7/72)

b = 3 + 65/72

Answer:

vertical and horizontal

Answer:

c 730

Step-by-step explanation:

because the 7 in 730 is one digit to the left

Answer:

C. 730

Step-by-step explanation:

The 7 in the original number is in the tens place. So if you multiply that by 10, the seven moves into the hundreds place.

The correct statement about the triangles shown in the graph is given as follows:

The slopes of the two triangles are the same.

Considering a graph, a slope is calculated as the division of the vertical change by the horizontal change.

For the smaller triangle, we have that:

Hence the slope is of:

m = 2/2

m = 1.

For the larger triangle, we have that:

Hence the slope is of:

m = 3/3.

m = 1.

Meaning that they have the same slope.

More can be learned about slope at https://brainly.com/question/24808124

#SPJ1

Answer:

4 fruit baskets.

Step-by-step explanation:

Use GCF to find the answer. 20 divided by 4 is 5, 16 divided by 4 is 4, and 32 divided by 4 is 8.

Answer:

Simple to help us improve our lives

Answer:

To do good in school

Step-by-step explanation:

the thing is teachers want us to study so we remember whatever is on the test for an example and that is good but not alt of people always study.

Answer:

157

Step-by-step explanation:

Answer:    15 tens and 7 ones in standard form would be 157. If you have 15 tens this means that you are adding 10, 15 times or multiplying 10 by 15, which gives you 150.

Step-by-step explanation: Hopefully this helped!

Answer:

a

Step-by-step explanation:

because there are over half girls and half of 120 is 60 and 75 is over half

Answer:

a) -2, c) 0.5, e) 14

Step-by-step explanation:

The domain is the x value, which is the number of packages sold in this case.

a) -2: You can't sell a negative number of packages

c) 0.5: You can't sell half a package

e) 14: The company only has 12 packages

Answer:

what

Step-by-step explanation:

Answer:

Step-by-step explanation:

A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.

For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.

Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET

So, the number of maximum subsets we can create from the given set is 8.

The subsets of any set consists of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

Solution: Given, A = {1,2,3,4}

Subsets =

The subsets of any set consisting of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

{}

{1}, {2}, {3}, {4},

{1,2}, {1,3}, {1,4}, {2,3},{2,4}, {3,4},

{1,2,3}, {2,3,4}, {1,3,4}, {1,2,4}

{1,2,3,4}

So, the formula is [tex]2^n[/tex].

The given set is,

[tex]A = \{1, 3, 5\}[/tex]

Here the number of an element is 3.

So, the maximum number of subsets we can create is,

[tex]2^n=2^3=8[/tex]

Learn more about the topic Subsets:

https://brainly.com/question/17514113

Answer:

5c^2

Step-by-step explanation:

i think c is a variable so,

5xcxc = 5c^2

Answer:

1 a  [tex]p -value = 0.030054[/tex]

1b   [tex]p -value = 0.0029798[/tex]

1c  [tex]p -value = 0.0039768[/tex]  

2a  [tex]p-value = 0.00099966[/tex]

2b  [tex]p-value = 0.00999706[/tex]

2c  [tex]p-value = 0.0654412[/tex]

Step-by-step explanation:

Considering question a

  The alternative hypothesis is H1:μ>μ0

   The test statistics is  z =1.88

Generally from the z-table  the  probability of   z =1.88 for a right tailed test is

    [tex]p -value = P(Z > 1.88) = 0.030054[/tex]

Considering question b

  The alternative hypothesis is H1:μ<μ0

   The test statistics is  z=−2.75

Generally from the z-table  the  probability of   z=−2.75 for a left tailed test is

    [tex]p -value = P(Z < -2.75) = 0.0029798[/tex]

Considering question c

  The alternative hypothesis is H1:μ≠μ0

   The test statistics is  z=2.88

Generally from the z-table  the  probability of  z=2.88 for a right  tailed test is

    [tex]p -value = P(Z >2.88) = 0.0019884[/tex]    

Generally the p-value for the two-tailed test is

    [tex]p -value = 2 * P(Z >2.88) = 2 * 0.0019884[/tex]    

=> [tex]p -value = 0.0039768[/tex]  

Considering question 2a

    The alternative hypothesis is H1:μ>μ0

     The sample size is  n=16

     The  test statistic is  t =  3.733

Generally the degree of freedom is mathematically represented as

        [tex]df = n - 1[/tex]

=>     [tex]df = 16 - 1[/tex]

=>     [tex]df = 15[/tex]

Generally from the t distribution table  the probability of   t =  3.733 at a degree of freedom of  [tex]df = 15[/tex] for a right tailed test is  

       [tex]p-value = t_{3.733 , 15} = 0.00099966[/tex]

Considering question 2b

    The alternative hypothesis is H1:μ<μ0

     The degree of freedom is df=23

     The  test statistic is ,t= −2.500

Generally from the t distribution table  the probability of   t= −2.500 at a degree of freedom of  df=23 for a left  tailed test is  

       [tex]p-value = t_{-2.500 , 23} = 0.00999706[/tex]

Considering question 2c

    The alternative hypothesis is H1:μ≠μ0

     The sample size is  n= 7

     The  test statistic is ,t= −2.2500

Generally the degree of freedom is mathematically represented as

        [tex]df = n - 1[/tex]

=>     [tex]df = 7 - 1[/tex]

=>     [tex]df = 6[/tex]

Generally from the t distribution table  the probability of   t= −2.2500 at a degree of freedom of  [tex]df = 6[/tex] for a left   tailed test is  

       [tex]t_{-2.2500 , 6} = 0.03272060[/tex]

Generally the p-value  for t= −2.2500 for a two tailed test is

     [tex]p-value = 2 * 0.03272060 = 0.0654412[/tex]

Answer:

i believe it is "3x+2"

Explanation:

first you distribute the 3 to the expression in the parenthesis and you get "3x-6" and add the +4 to the end of that expression and you get "3x-6+4" add "-6+4" and you get "-2" and then you get "3x--2"since a subtraction sign and a negative sign make it be addition you get the expression "3x+2"

Answer:

+12 degrees

Step-by-step explanation:

You never showed a picture, but im pretty sure this is correct

I hope this helped, please mark Brainliest, thank you!

Answer:

(3x - 14) (2x - 7)

I hope this helps!

Answer:

0

Step-by-step explanation:

he had a score of 2 on the first hole and then he go a birdie i think and it subtracted 2 from that leaving 0

Answer:

C.  25% The correct answer is C. 300 divided by 1200 equals 25%.

Step-by-step explanation:

Answer:

B.) 20%

Step-by-step explanation:

First, add 1,200 and 300. That gives you 1,500. You want to find how much percent of 1,500 equals 300, and that is 20%.

Answer: 95x

Step-by-step explanation: Remove parentheses. 5x(7+10-2+4)

Add 7 and 10.

5x(17-2+4)

Add 15 and 4.

5x multiped by 19

Multiply 19 by 5

95x

The value of sin^(-1) 1 is; π/2

We know that in radians the value of θ at which sin θ = 1 is; π/2 radians

Thus; sin^(-1) 1 = π/2

Read more about trigonometric angles at; https://brainly.com/question/22591162

Answer:

a=16

Step-by-step explanation:

Answer:

A=4

Step-by-step explanation:

Answer:

It is unidentified.

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

braniest pls

Answer:

x=3

Step-by-step explanation:

-5          +10

              +5=15

+5=0

3x, 2x

+2     -2

5x=15

_      _

x=3