92≤x≤9? I need help with this fast thankyou

The probability that 3 of the 6 children of this parents has the genes would be 0.1318

The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur.

The total number of children from the family is n = 6

and the probability of those with the cystic fibrosis is x = 3,

Probability of the disease = 0.25

We have the formula as

[tex]^{6} C_{x} *P^{x} *(1-p)^{n-x}[/tex]

The probability is 1/4 = 0.25

This is then written as

6C3 x 0.25³ x (1 - 0.25)⁶⁻³

= 20 x 0.015625  0.421875

= 0.1318

The probability that 3 out of the 6 children would have this gene is 13.18%

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The simplified expression for the given word problem is 3y + 7/2.

When addition, subtraction, multiplication, division, and other mathematical operations are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.

An algebraic expression is composed of various parts. To better comprehend the idea of Variables, Constants, Terms, and Coefficients of any algebraic equation.

According to the given word problem

5 times y = 5y

5 times y plus the quantity of y and 7 = 5y + y + 7

one-half of 5 times y plus the quantity of y and 7 = 1/2(5y + y + 7)

So, simplify the expression now, we get

1/2( 5y + y + 7) = 1/2(6y +7)

= 1/2 × 6y + 1/2 × 7

= 3y + 7/2

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A table of equivalent ratios for the miles and gallons of gas driven is as follows:

Miles        Gallons

39                 1

117                 3

312                8

The data points are plotted in the graph shown in the image attached below.

In Mathematics, a proportional relationship can be modeled or represented by the following mathematical expression:

x = ky

Where:

In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.

Next, we would calculate the constant of proportionality (k) as follows:

Constant of proportionality (k) = x/y

Constant of proportionality (k) = 312/8

Constant of proportionality (k) = 39.

When x = 39, the value of y is given by:

y = x/k

y = 39/39

y = 1 gallons.

When y = 3, the value of x is given by:

x = ky

x = 39 × 3

x = 117 miles.

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Answer: 23/100

Step-by-step explanation: You would automatically just round it to .23. With any fraction you put it over 100. 23/100 then divide by a factor but for this one there is no simplified fraction so 23/100

S-G is the expression in terms of G and S

Given: log_b 4 = G, log_b9 = S and log_b 9/4

To write log_b 9/4 in terms of G and S, we need to understand logarithm division rule, which states that:

When you divide two values with the same base is to subtract the exponents. Simply, the rule for division is to subtract the logarithms i.e.

logₓ (a/c) = logₓa - logₓc

Thus,  log_b (9/4) = log_b 9 - log_b 4  = S - G  

(Note: log_b 4 = G and log_b9= S)

Therefore, the expression log_b (9/4) in terms of G and S is S-G

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Option D. The sample space when one marble is to be chosen is given as S =  {green, blue, yellow, orange, purple, red}

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

The sample space here have been listed based on the colors of the marbles that was presented in the question that we have here.

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Answer:

OPTION D is not correct I took the test and its B

Step-by-step explanation:

also here is a picture

There are  181440 number of different 10 letter words , (real or imaginary) that can be formed from the given letters   .

In the question ,

it is given that ,

the letters are X, W, C, V, R, Z, W, U, M, A ,

since the total number of letters = 10 ,

So , 10 letter can be arranged in 10! ways = 362880 ways

and we can also see that the letter W is repeated 2 times

So it can be arranged in 2! ways = 2 ways .

So , the total number of different 10 letters words that can be formed is calculated by dividing total number of possible arrangements by arrangement of each repeated letter ,

that is ,

= 362880 / 2

= 181440  .

Therefore  , There are 181440 number of different 10 letter words (real or imaginary)that can be formed from the given letters   .

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There is not enough evidence to conclude that the mean is less than 14 hours, as the p-value of the test is greater than 0.05, using the t-distribution.

At the null hypothesis, it is tested if the mean is not less than 14 hours, hence:

[tex]H_0: \mu \geq 14[/tex]

At the alternative hypothesis, it is tested if there is enough evidence that the mean is less than 14 hours, hence:

[tex]H_1: \mu < 14[/tex]

The test statistic is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which the parameters are defined as follows:

In the context of this problem, the values of these parameters are:

[tex]\overline{x} = 13.5, \mu = 14, s = 3, n = 64[/tex]

Hence the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{13.5 - 14}{\frac{3}{\sqrt{64}}}[/tex]

t = -1.33.

Using a z-distribution calculator, with a left-tailed test, as we are testing if the mean is less than a value, with t = -1.33 and 64 - 1 = 63 df, the p-value of the test is of 0.094.

Since the p-value of the test is greater than the significance level of 0.05, there is not enough evidence to conclude that the mean is less than 14 hours.

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Answer:

Value of x = 7° & y = 45°

Step-by-step explanation:

According to the question m || n.

For x:

[tex] \rm \implies (7x + 13) \degree = (6x + 20) \degree \\ \\ \rm \implies 7x - 6x = 20 \degree - 13\degree \\ \\ \rm \implies x = 7 \degree[/tex]

For y:

[tex] \rm \implies (3y - 17)\degree + (6x + 20) \degree = 180\degree \\ \\ \rm \implies (3y - 17)\degree + (6 \times 7 + 20)\degree = 180\degree \\ \\ \rm \implies (3y - 17)\degree + (42 + 20)\degree = 180\degree \\ \\ \rm \implies 3y - 17\degree + 62\degree = 180\degree \\ \\ \rm \implies 3y + 45\degree = 180\degree \\ \\ \rm \implies 3y = 180\degree - 45\degree \\ \\ \rm \implies 3y = 145\degree\\ \\ \rm \implies y = \bigg( \frac{145}{3} \bigg) ^\degree \\ \\ \rm \implies y = 45\degree[/tex]

21 students completed the essay by due date

In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple. How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used.

30 ----------> whole

30 ----------> 100 %

0.3 -----------> 1%

multiplying both sides by 70

21 ----------> 70 %

therefore 21 students completed the essay by due date .

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Answer: The correct mean weekly grocery expense for Taylor is $62.51

How to find mean of a discrete data?

Suppose the data values be .

Then, their mean is evaluated as:

where n = number of observations.

For the given condition, Taylor recorded the weekly expenses for 12 weeks. Therefore, we get n = 12

Let the real weekly expenses for Taylor be

Let  observation is misinterpreted as T

Then, the mean of that misinterpreted set of data would be

Since we're given that:

Therefore, we get the mean of original weekly expenses as:

Therefore, the correct mean weekly grocery expense for Taylor is $62.51

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Step-by-step explanation:

The total number of hours Donna used driving is 3 2/21 hours

A rate is a special ratio in which the two terms are in different units. For example, For 1 hour Donna is using 7/10 gallons of fuel while driving.

The two quantities there are time in hours and the quantity of fuel used in gallons.

If Donna used 7/10 gallon for 1 hour

then 1 gallon will last for 1÷7/10= 1× 10/7= 10/7

Therefore for 2 1/6 gallon = 10/7×2 1/6= 10/7×13/6

= 3 2/21 hours

Therefore the total number of hours used driving with 2 1/6 gallons is 3 2/21

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The slope intercept form equation of the straight line is y = -1/2x + 6

Slope intercept form

Slope intercept form of the equation used to calculate the equation of a straight line by using the slope and intercept value.

And the general form of slope intercept equation is

y = mx + c

where

m refers the slope

c refers the y - intercept

Given,

Here we have the graph of straight line.

Through the given graph we have to identify the equation of slope intercept form.

In order to find the slope intercept form equation we need two values they are slope and the y intercept.

So, to find these two values, we need two points,

So we have selected the points from the given graph. They are (2,5) and (4,4).

Now we have to use the slope formula to find the value of the slope,

m = (4 - 5) / (4 - 2)

m = -1/2

Now, we have to use the slope and one of the point (4,4), to find the value of y intercept,

4 = -1/2 (4) + c

4 = -2 + c

c = 6

Now, we have identified the values of slope and the intercept.

Then the slope intercept form equation of these straight line is written as,

y = -1/2x + 6

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The integers that would make the inequality true is the set of integers less than 20.

From the question we are to determine the integer that would make the given inequality true

The given inequality is

x - 4 < 16

To determine the integer that would make the inequality true, we will solve the inequality for the variable x

Solving the inequality

x - 4 < 16

Add 4 to both sides of the inequality

x - 4 + 4 < 16 + 4

x < 20

Hence, the solution to the given inequality is x < 20. All integers less than 20 will make the inequality true.

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Answer:

whats the problem

Step-by-step explanation:

If she wants to find the rate at which she burned calories on day 8. C'(8) is: B. 8.75 calories per day

First step is to find the upper and lower values for the burned calories on day 8.

Upper value (C'(8) =  405 - 386 /2

Upper value C'(8) = 19/2

Upper value C'(8) = 9.5

Lower value C'(8) = 386 -370/2

Lower value C'(8) = 16/2

Lower value C'(8) = 8

Now let find C'(8)

C'(8) = 9.5+8/2

C'(8) = 17.5/2

C'(8) = 8.75 calories per day

Therefore the correct option is B.

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The equation of the red graph is (d) y - 3 = f(x)

Graph

Graph means the pictorial representation of statistical data or of a functional relationship between variables.

Given,

Here we have the graph with black and red lines in it.

Now, we need to find the equation for the red line.

While we looking through the potions we have identified that the first two options are not in the proper equation form.

So, we have to check only the (c) and (d) equation, to identify which one is the suitable one.

In order to find the correct function, we have to identify the points in it.

Here we have the points in the red line are (-6,1), (-2,4) and (-1,-4)

Now, we have to apply these values on the equation to find which one will produce the correct x value for the given y value,

First, we have to take the option (c) y + 3 = f(x)

-6 + 3 = 1

-3 ≠ 1

So, this one is not applicable.

Next, we have to take the function (d) y - 3 = f(x)

When we apply the value on it,

-1 -3 = -4

-4 = -4

Therefore, this is the function for the given graph.

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Answer:

Step-by-step explanation:

y= 1/7 - x/7

Answer:

y = 1/7 - x/7

Step-by-step explanation:

4(7y + x) = 4             Distribute the 4 to 7y and x

28y + 4x = 4            Subtract the 4x on both sides

28y = 4 - 4x            To get 'y' by itself divide 28 on both sides

y = 4/28 - 4x/28      You can simplify the 4/28 since 4 goes into 28 7 times

y = 1/7 - x/7

Answer:

0.1364 miles per minute

Step-by-step explanation:

time = pace × distance

time = pace time per unit distance × distance

distance = time / pace

distance = time / pace time per unit distance

pace = time / distance

pace time per unit distance = time / distance

speed = distance / time

speed distance per unit time = distance / time

She made sales of =$61,200.00

acc to our  question-

Step-by-step explanation:

1.5% = 0.015 , 4% = 0.04 , 5% = 0.05

16,000 × 0.015 = $240.00

$25,000 × 0.04 = $1,000.00

$2,250.00 - ($240.00 + $1,000.00) = $1,010.00

$1,010.00 ÷ 0.05 = $20,200.00

$20,200.00 + $25,000.00 + $16,000.00 = $61,200.00

hence,She made sales of =$61,200.00

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Regarding the hypothesis tested in this problem, it is found that:

a) The test statistic is: t = 0.49.

b) The p-value is: 0.6297..

c) The null hypothesis is not rejected, as the p-value is greater than the significance level.

d) It appears that the students are legitimately good at estimating one minute, as the sample does not give enough evidence to reject the null hypothesis.

The test statistic of the t-distribution is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which the variables of the equation are given as follows:

The value tested at the hypothesis is:

[tex]\mu = 60[/tex]

From the sample, using a calculator, the other parameters are given as follows:

[tex]\overline{x} = 62.47, s = 19.2, n = 15[/tex]

Hence the test statistic is obtained as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{62.47 - 60}{\frac{19.2}{\sqrt{15}}}[/tex]

t = 0.49.

The p-value is obtained using a t-distribution calculator, with a two-tailed test, as we are testing if the mean is different a value, in this case 60, with:

Hence the p-value is of 0.6297.

Since the p-value is greater than the significance level of 0.01, the null hypothesis is not rejected, attesting to the ability of the students to estimate one minute.

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The image point of (-8, 1) after the transformation D₂ о R180° is equal to (16, -1).

Given that,

The point is (-8,1)

We must locate the point's picture. ​

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

We have the following for a 2 scale factor dilation: ​

Point A (-8, 1)  

= (-8 × 2, 1 × 2)  

= Point A'  is (-16, 2)

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)→(-x, -y)

Points A' = (-16, 2)

Points A' = (-(-16), -(1)) = (16, -1).

Therefore, The image point of (-8, 1) after the transformation D₂ о R180° is equal to (16, -1).

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Answer:

a. Given

b. thru any 2 points there exists a line (you can draw a line)

c. Definition of Regular Polygon

d. Definition of Regular Polygon

e. Given

f. Def of Midpoint

g. SAS: Side-Angle-Side congruence

h. CPCTC - Corresponding Parts of Congruent Triangles are Congruent

i. Definition of Regular Polygon

j. Reflexive

k. SSS: Side-Side-Side congruence

l. CPCTC

Step-by-step explanation:

I encourage you to look up all of the above reasons to get a better understanding of what they are!!

The solution of the linear equation:

3x+4x+5x=4(x+2)

is x = 1

Here we need to solve the following linear equation:

3x + 4x + 5x = 4*(x + 2)

First, we should expand the right side to get:

3x + 4x + 5x = 4x + 8

Now we group like terms:

3x + 4x + 5x - 4x = 8

Taking x as a common factor in the left side:

(3 + 4 + 5 - 4)*x = 8

(3 + 5)*x = 8

8x = 8

x = 8/8

x = 1

The solution is x = 1.

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For 10m long ladder whose foot is leaning against a vertical wall and from the base of the wall it is 6m away then height of the wall at a point ladder reaches is equal to 8m.

As given in the question,

Wall , ladder and base forms a right angled triangle

Length of the ladder leaning against the wall is hypotenuse = 10m

Distance between the ladder and base of the wall is base= 6m

Let us consider 'h' be the height of the wall is altitude.

Wall , ladder and base forms a right angled triangle

Using Pythagoras theorem we have,

(Hypotenuse)² = (Base)² + (altitude)²

⇒10² = 6² + h²

⇒100 =36 +h²

⇒h² =100 -36

⇒h² =64

⇒h = 8m

Therefore, for 10m long ladder whose foot is leaning against a vertical wall and from the base of the wall it is 6m away then height of the wall at a point ladder reaches is equal to 8m.

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father age 46.5

daughter age 15.5

46.5 - 15.5 = 31

The probability that a student's mark is more than 75 is 0.0947 and in a class of 50 students, 5 students should have a mark of more than 75.

In the given question,

The Mathematics marks of all the students in the class are normally distributed with mean mark 54 and standard deviation 16.

We have to find the probability that a student's mark is more than 75.

In a class of 50 students, we also have to find how many students should have a mark of more than 75.

From the question the mean = 54

Standard Deviation = 16

So the probability that a student's mark is more than 75.

Using the normal distribution

z = (x−mean)/Standard Deviation

P(x>75) = P(z>(x−mean)/Standard Deviation)

P(x>75) = 1−P(z<(75−54)/16)

Simplifying

P(x>75) = 1−P(z<21/16)

P(x>75) = 1−P(z<1.3125)

From the standard z table value

P(x>75) = 1−0.9053

P(x>75) = 0.0947

Hence, the probability that a student's mark is more than 75 is 0.0947.

Now finding in a class of 50 students, how many students should have a mark of more than 75.

Total student = 50

So the student having mark of more than 75 = Total student * probability that a student's mark is more than 75

The student having mark of more than 75 = 50 * 0.0947

The student having mark of more than 75 = 4.735

The student having mark of more than 75 ≈ 5

Hence, in a class of 50 students, 5 students should have a mark of more than 75.

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The cost to rent chair is $1.5  and table is $8.5  .

In the question ,

it is given that

the cost to rent 12 chairs and 2 tables [tex]=[/tex] $35

and the cost to rent 3 chairs and 5 tables  [tex]=[/tex] $47

let the cost for 1 chair ne "c"

and let the cost for 1 table = "t"

So , according to the question ,

the equations are

12c + 2t = 35      ....equation(1)

3c + 5t = 47         ....equation (2)

On multiply equation (2) by 4 and then subtracting equation (1) from it ,

we get

(12c + 20t) - (12c + 2t) = 188 - 35

12c + 20t - 12c -2t = 153

18t = 153

t = 153/18

t = 8.5

and 12c + 2(8.5) = 35

12c + 17 = 35

12c = 18

c = 18/12

c = 1.5

Therefore , The cost to rent chair is $1.5  and table is $8.5  .

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Answer:

A is shown in the attached image.

B. 5/6

C.  P(A or B)

Step-by-step explanation:

B. 1/2 + 2/3 - 1/3 = 5/6 or 3/6 + 4/6 - 2/6 = 5/6

C. P(A or B) = 5/6. P(A) + P(B) - P(A and B) = 5/6. Therefore, P(A) + P(B) - P(A and B) = P(A or B).

The term that defines a circle is "all coplanar points equidistant from a given point". Then the correct option is D.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The definition of the circle is written as "A circle is a shape comprising of all places in a plane that are at a given separation from a given point, the middle."

The circle is a two-dimensional shape.

The term that defines a circle is "all coplanar points equidistant from a given point". Then the correct option is D.

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Answer: D) all coplanar points equidistant from a given point

Step-by-step explanation: