There is a paper attached only 5 questions :)

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:

what

Step-by-step explanation:

A postulate is something that is assumed to be true and there isn't a proof for it as its something foundational to help set up further proofs later down the road. Another example of a postulate is that a line is defined by two distinct points.

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:

what do I need to do to answer

Step-by-step explanation:

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 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.

Answer:

x > 2

Step-by-step explanation:

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

where

is the change in the y-coordinate

is the change in the x-coordinate

For the initial climb (pink line), we have:

Therefore, the slope in this part is

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

3)

Again, to calculate the slope of the hill, we use:

where

is the change in the y-coordinate

is the change in the x-coordinate

For the green hill, we have:

So the rate of change is

4)

As before, the rate of change of the hill is

For the blue hill, we have:

So the rate of change is

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

For the blue hill:

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

Answer:

3x+7=22

Step-by-step explanation:

three times a number is

[tex]3\times x=3x[/tex]

so the sum of 3x and 7 is 22

[tex]3x+7=22\\\\3x=15\\\\x=5[/tex]

you can leave it here

[tex]3x+7=22[/tex]

if you need the value of x

then

[tex]x=5[/tex]

Answer:

1.34%

Step-by-step explanation:

In order to find the percentage increase between these two prices, we must first find the difference in price. We calculate this by subtracting the final price by the initial price like so...

$9.84 - 9.71 = 0.13

Now we divide the difference by the initial price to find what percentage of the initial price this difference is, since this percentage difference was added to the initial price to get the new and final price point.

0.13 / 9.71 = 0.013388 ... multiply by 100 to get percent value

0.013388 * 100 = 1.3388% or 1.34% rounded.

Answer:

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

I hope this helps!

Answer:

18,36,54,72,90 are first five multiples of 18

Step-by-step explanation:

Answer:

18,36,54,72,90

Step-by-step explanation:

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:

x = 2 ± √ 3

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

Answer:

VW = 36

Step-by-step explanation:

From the question, we are given:

VW = 5x - 4, UV = 2x,

UW = 52

Hence,

UV + VW= UW

2x + 5x - 4 = 52

7x = 52 + 4

7x = 56

x = 56/7

x = 8

VW = 5x - 4,

VW = 5(8) - 4

VW = 40 - 4

VW = 36

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:

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: 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

Answer:

It is unidentified.

Step-by-step explanation:

Answer:

942.50

Step-by-step explanation:

725×30% or 0.3 = 217.5

217.5+725=942.5

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!

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

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:

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:

15 if b is supposed to the side length, √15 if b is the base which is a square.

Step-by-step explanation: