I need to solve this to get zero can you help?

Answer:

C

Step-by-step explanation:

Answer:

are made of cells

Step-by-step explanation:

H0 : p0 = 0.12

H1 : p0 ≠ 0.12

Sample size, n = 600 ; α = 0.05

Zstatistic < Zcritical ; reject H0

P = 95/600 = 0.16

Zstatistic = (p - p0) ÷ sqrt((p0(1 - p0)) /n)

Zstatistic = (0.16 - 0-12)/ sqrt((0.12(0.88))/600)

Zstatistic = 3.01

Zcritical at 0.05, = - 1.96

Zstatistic > Zcritical

The equation of line is D. y = 3x - 9

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The m is a common symbol for slope.

The equation of a straight line is given by y=mx+c where m is the slope, c is the intercept, and x and y are variables.

Formula to be used :

[tex]m=\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex] where( y1,x1) and (y2 ,x2) are the coordinates of the points passing through the line.

Calculating Slope, [tex]m=\frac{3-(-3)}{4-2} =\frac{6}{2} =3[/tex]

Now, writing the equation of line is

[tex]y -y_{1} =m(x-x_{1} )\\y -3 =3(x-4)\\y-3 =3x - 12\\y =3x -12+3\\y =3x -9[/tex]

Thus, the slope-intercept form of the equation is y =3x -9.

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Given:

To state the domain of this using interval notation, means to find the values which x may assume for the function above.

We have:

Since there is a root, let's exclude any real number that leads to a negative number.

Here, let's solve for x by setting the radicand to be greater than or equal to zero.

x + 1 ≥ 0

x ≥ 0 -1

x ≥ -1

Therefore, the domain function using notation function will be:

(-1, ∞)

ANSWER:

(-1, ∞)

Using the above property,

The five number summary is:

Minimum = 3

First quartile(Q1) =3

Median =7

Third quartile(Q3) = 22

Maximum = 25

Given data, 6, 5, 3, 3, 25, 22, 3, 23, 7, 3, 20, 19, 23, 18, 5.

 we have  to arrange in ascending order ,

3, 3, 3, 3, 5, 5,6, 7, 18, 19, 20, 22, 23, 23, 25

Minimum value = 3

Maximum value = 25

since , number of data = 15

So , Median = middle term = 7

Median of first half = First quartile

here first half = { 3, 3, 3, 3, 5, 5, 6}

median of first half terms = 3 (middle term)

Q1 = 3

Third quartile = Median of second half terms

( 18, 19, 20, 22, 23, 23, 25)

median of second half  terms = 22

Q3 = 22

Hence, the five-number summary for the given data set :

min = 3, Q1 =3,  median =7 , Q3 = 22, max = 25 .

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The probability of dialling one number of phones keypad and it being a number greater or equal to 0 is 100% as there is no smaller number than 0 in the keypad.

Probability is defined as the ratio of favorable outcomes to all possible outcomes of an event. The proportion of positive outcomes, or x, for an experiment with 'n' outcomes can be expressed. The following formula can be used to determine the likelihood of an event.

Probability (Event) = Positive Outcomes/Total Outcomes = x/n

Let's say that we need to make a rain prediction. Both "Yes" and "No" are acceptable responses to this query. Both rain and no rain are possible outcomes. Probability can be used in this case. When throwing coins, rolling dice, or drawing a card from a deck of cards, the results are predicted using probability.

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Answer:

A line segment AE is part of a line that goes from A to E, so we can make a line m such that it contains line segment AE as follows

Line segment AE is the red part of the line that goes from A to E.

If a die is rolled 60 times, then it will land on number three 8 times.

When a die was rolled 60 times.

The die landed on one 11 times, two on 9 times, on four 12 times, on five 12 times, and on six 8 times.

Now, we know a die has six sides with numbers 1,2,3,4,5, and 6 marked on it.

Let x be the number of times the die landed on 3.

The total number of times the die rolled = the sum of the number of times each number landed when rolled.

number times 1 landed + number times 2 landed + number times 3 landed + number times 4 landed + number times 5 landed + number times 6 landed = 60

11 + 9 + x + 12 + 12 + 8 = 60

52 + x = 60

Subtracting 52 from each side of the equation,

52 + x - 52 = 60 - 52

x = 8

Hence, the number of times that three rolled is 8.

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The expression ab means that a is multiplying b.

Substituting with a = 2/7 and b = 2/5 into the expression we get:

Given:-

water level rises 11 centimeters every 6 minutes.

To find:-

The y value at the point (18,y).

Considor the time as x axis and the water level as y axis. so we get an graph as,

Now to find the value at the point (18,y). we extend the graph,

So the value of y is 33.

This is our required answer.

The drawn bedroom ookis like this

as this is drawn to scale, to find the area of the real bedroom we should find the lengths of the real bedroom first. We are told that every 2cm represent 5m. So, we will define our scaling factor as

as every 2 cm represent 5m. Now, to calculate the real lengths, we simply take the scaled lengths and multiply it by the scaling factor. So we have s

so the real bedroom looks like this

which is a rectangl of height 210m and base 5m. Recalling tha the area of a rectangle is the product of it s height and its base, we have that the area of this rectangle would be

1) Examining the expressions, let's factorize them taking the LCM out of the parentheses

5a +10 The LCM 5,10 is 5

5(a +2)

16k +12 The LCM 16, 12 is 4

4(4k +3)

2) So the answers are 5(a +2) and 4(4k +3) notice that if we distribute those factors you'll get the initial form.

Solution.

Given that the fabric sample is in a shape of a circle

The answer is 221.558 ft^2

Answer:

2.87secs

Explanation:

Given the expression for calculating the height reached by the ball expressed as;

The ball will hit the ground when h(t) = 0.

Substituting into the expression given;

Factorize the resulting equation and find the value of t

This means that it will take 2.87secs for the ball to hit the ground

Explanations;

Let the number of pots be "x"

Let the number of buckets be "y"

Since we have 192 items, hence;

x + y = 192 ............................... 1

If Pitts bought pots for 5 dollars each and joe bought buckets for 7dollars each and spent 140 dollars, this can be expressed as:

5x + 7y = 140 ............................ 2

Solve the equations simultaneously to get the value of x and y:

x + y = 192 ............................... 1 * 7

5x + 7y = 140 ............................ 2 * 1

_________________________________________________

7x + 7y = 1344

5x + 7y = 140

Subtract

7x - 5x = 1344 - 140

2x = 1204

x = 1204/2

x = 602

This shows that 602 pots were bought.

Substitute x = 602 into the equation 1 to get y:

602 + y = 192

y = 192 - 602

y = -410

Since the y value cannot be negative, we can say that 602 pots were bought but the solution to the system of equation is (602, -410)

The probabilities in this problem are given as follows:

a) False positive: 0.0321 = 3.21%.

b) Diagnosed as not having diabetes: 0.8872 = 88.72%.

c) Actually has diabetes, if diagnosed as not having: 0.0019 = 0.19%.

Conditional probability is the probability of one event happening, considering a previous event. The formula is given as follows:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which the parameters are described as follows:

For item a, we have that:

Hence the probability of a false positive is given as follows:

p = 0.9177 x 0.035 = 0.0321 = 3.21%.

For item b, the percentage of people who is not diagnosed as having diabetes is divided as:

Hence the probability is:

P(A) = 0.965 x 0.9177 + 0.02 x 0.0823 = 0.8872 = 88.72%.

For item c, we find the conditional probability, as follows:

[tex]P(A \cap B) = 0.02 \times 0.0823 = 0.001646[/tex]

Then:

P(B|A) = 0.001646/0.8872 = 0.0019 = 0.19%.

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Given data:

Total number of paperweights that needs to be packed in boxes = 1,150

Each box will hold paperweights = 12

Boxes will be needed to hold all the paperweights ,

Boxes = Total number of paperweights / Each box will hold paperweight

= 1,150 / 12

= 95.833

= 96

Thus, the boxes needed to hold all the souvenir paperweights is 96.

The equation of line passing through the point (-2 , 11) and (1, -4) will be;

⇒ y = - 5x + 1

What is Equation of line?

The equation of line in slope - intercept form is defined as;

⇒ y = mx + b

Where, m is slope

And, b is y - intercept.

Given that;

Two points on the line are (-2 , 11) and (1, -4).

Now, Equation of line is calculated as;

Slope of the line (m) = (- 4 - 11) / (1 - (-2))

                               = - 15/ 3

                               = - 5

The equation of line is;

⇒ y - y₁ = m (x - x₁)

Substitute all the values we get;

⇒ y - 11 = - 5 (x - (-2))

⇒ y - 11 = - 5 (x + 2)

⇒ y - 11 = -5x - 10

⇒ y = - 5x - 10 + 11

⇒ y = - 5x + 1

Thus, The equation of line passing through the point (-2 , 11) and (1, -4) will be;

⇒ y = - 5x + 1

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The area of a triangle is given by:

Where:

b = base = 18 m

h = height = 20 m

Then, substitute the values:

Answer: 180 m^2

A "Bisector" in Geometry is a line that divides a line into two different or equal parts. It is used on line segments and angles.

The Value of X  = angle BCF =90-45 =45.

Angle BCD = 90

angle FCD = 45

The Value of X  = angle BCF =90-45 =45.

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The solution to the indicated operation will be 9 and 2/3.

We have to find the sum of 2 and 1/6 and 7 and 3/6.

We can write the mixed fractions as:-

2 and 1/6 = 13/6

7 and 3/6 = 45/6

Adding the improper fractions, we get,

(13+45)/6 = 58/6 = 29/3

We can this improper fraction write it as :-

9 and 2/3

Mixed fraction

It is a form of a fraction which is defined as the ones having a fraction and a whole number.

2 and (1/7), where 2 is a whole number and 1/7 is a fraction.

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Given:

The objective is to find the probability that a randomly selected person is either a faculty member in favor of the change or a student who has an opinion either for or against.

Explanation:

The required probability can be calculated as,

Here, P(A) represents the probability of faculty member in favor of the change, P(B) represents the probability of student who has an opinion either for or against.

The probability of faculty member in favor of the change can be calculated as, T

The probability of student who has an opinion either for or against can be calculated as,

Since, it is mutually exclusive events,

To find P(A or B):

On plugging the equations (2), (3) and (4) in equation (1),

Hence, the probability that a randomly selected person is either a faculty member in favor of the change or a student who has an opinion either for or against is 151/217.

Answer

T' = (5, -1)

I' = (5, -3)

E' = (1, -1)

Explanation

Given the below triangle

T = ( -5, -1)

I = (-5, -3)

E = (-1, -1)

When reflected over y -axis, the x - cordinate is negated while the y - coordinate remains unchanged

Mathematically,

(x , y ) ------------------------ (-x , y)

T = ( -5, 1)

T' = [-(-5) , -1)]

T' = (5, -1)

I = (-5, -3)

I' = [-(-5) , -3)

I' = (5, -3)

E = (-1, -1)

E' = [-(-1), -1)]

E' = (1, -1)

Therefore, the reflected triangle over y - axis has the following points

T' = (5, -1)

I' = (5, -3)

E' = (1, -1)

Probability is calculated as follows:

In a standard deck of cards, there are 13 hearts and a total of 52 cards. Then, the probability of picking a heart is:

To find how many times she should expect to pick a heart, we have to multiply the number of times the event is repeated (60) by the probability of picking a heart, that is,

She should expect to pick a heart 15 times

Given:

Data is given as below

16 ; 17 ; 19 ; 20 ; 20 ; 21 ; 23 ; 24 ; 25 ; 25 ; 25 ; 26 ; 26 ; 26 ; 27 ; 27 ; 28 ; 29 ; 29 ; 32 ; 33 ; 33 ; 34 ; 35 ; 37 ; 39 ; 43

Find:

we have to find Mean, Median and Mode of the given data.

Explanation:

(a) Mean is 27.37

(b) Median is 26

(c) Mode is 25 ; 26

SOLUTION:

Step 1:

In this question, we are meant to find the x-intercept and y-intercept of the graph of :

First, we are meant to graph it

Second, we are meant to find:

a) x-intercept

b) y - intercept

Step 2:

The graph of :

is as follows:

Step 3:

Given the equation:

Next, given the equation:

a) The cost of 1 cup coffee will be $2

b) The cost of 1 muffin will be $1.67

What is an expression?

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 cost of a cup of coffee is $0.75 more than a donut.

Maya buys 12 donuts and 2 cups of coffee which costs $19.

Now,

Let the cost of coffee = x

And, The cost of donut = y

The cost of muffins = z

Since, The cost of a cup of coffee is $0.75 more than a donut.

So, we can formulate;

⇒ x = y + 0.75    .... (i)

And, Maya buys 12 donuts and 2 cups of coffee which costs $19.

So, We can formulate;

⇒ 12y + 2x = $19

Substitute the value of first equation in above equation we get;

⇒ 12y + 2x = $19

⇒ 12y + 2 (y + 0.75 ) = $19

⇒ 12y + 2y + 1.5 = $19

⇒ 14y + 1.5 = $19

⇒ 14y = $19 - 1.5

⇒ 14y = 17.5

⇒ y = 17.5 / 14

⇒ y = 1.25

Hence,

⇒ x = y + 0.75

⇒ x = 1.25 + 0.75

⇒ x = 2

Thus, The cost of 1 cup of coffee = $2

Since, Angelo buys 6 donuts and 2 muffins which costs $12.50 total.

So, we can formulate;

6z + 2y = $12.50

Substitute y = 1.25 in above equation, we get;

6z + 2 × 1.25 = $12.50

6z + 2.50 = 12.50

6z = 12.50 - 2.50

6z = 10.00

z = 10.00 / 6

z  = 1.67

Thus, The cost of 1 muffin will be $1.67.

Therefore,

a) The cost of 1 cup coffee will be $2

b) The cost of 1 muffin will be $1.67

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the investment after 3 years will be worth $73.21

Amount invested = Principal

P = $55

n = number of time scompounded = annually

n = 1

rate = r = 10% = 0.1

FV = future value after 3 years

Using compound interest formula:

substituting the values in the formula:

Hence, the investment after 3 years will be worth $73.21

The equation of the polynomial is P(x) = -(x - 1)²(x + 5)(x - 4)

The given parameters are

The equation of the polynomial can be calculated as

P(x) = a * (x - zero)^ multiplicity

So, we have

P(x) = a * (x - 1)² * (x + 5) * (x - 4)

This gives

P(x) = a * (x - 1)²(x + 5)(x - 4)

From the question, we have

y-intercept = 20

This means that

P(0) = 20

So, we have

20 = a * (0 - 1)²(0 + 5)(0 - 4)

Evaluate products

20 = a * -20

Divide

a = -1

Substitute a = -1 in P(x) = a * (x - 1)²(x + 5)(x - 4)

P(x) = -(x - 1)²(x + 5)(x - 4)

Hence, the equation is P(x) = -(x - 1)²(x + 5)(x - 4)

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