Find the mean, variance, and standard deviation of the binomial distribution. (round to the
nearest thousandths when needed)

Sixty-eight percent of families say that their children have an influence on their vacation
destinations. Consider a random sample of six families who are asked if their children
have an influence on their vacation destinations.

Answer: 8 proposals per hour

Step-by-step explanation: 40/5 = 8

The solution to the question is [tex]\rm 16\dfrac{1}{2}[/tex] .

Whole numbers is a collection of all the basic counting numbers and 0. In mathematics, counting numbers are called natural numbers.

So, we can define the whole number as a collection of all natural numbers and 0. Whole numbers also include all positive integers along with zero.

A proper fraction is a fraction whose numerator is smaller than its denominator.

An improper fraction is a fraction whose numerator is equal to or greater than its denominator.

The given question is [tex]\rm 6\dfrac{3}{4} + 4\dfrac{2}{4} +5\dfrac{1}{4}[/tex]

this can be also written as

[tex]\rm \dfrac{27}{4} +\dfrac{18}{4} +\dfrac{21}{4}[/tex]

as they have same bases

[tex]\rm \dfrac{66}{4}\\\\\\\dfrac{33}{2}\\\\16\dfrac{1}{2}[/tex]

Therefore this is the solution.

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Answer:

JML = 176°

Step-by-step explanation:

JML = 2 angle JKL

= 2 × 88°

= 176°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

See below ~

Step-by-step explanation:

Solving the inequality :

Plotted graph :

The perimeter of the triangle ABC is [tex]10+\sqrt{10}[/tex] [tex]units[/tex].

The given parameters:

The length of AC = 3-(-2) = 5 unit

The length of AC = length of BC = 5 unit

The length of BC is calculated by applying Pythagoras theorem as follows;

[tex]BC^2=(4-1)^2+(3-2)^2[/tex]

[tex]BC^2=3^2+1^2[/tex]

[tex]BC^2=10[/tex]

[tex]BC=\sqrt{10}[/tex]

The perimeter of the triangle ABC is calculated as follows;

[tex]P=AB+AC+BC[/tex]

[tex]P=5+5+\sqrt{10}[/tex]

[tex]P=10+\sqrt{10[/tex]  [tex]units[/tex]

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[tex]144x^2-100[/tex]

looking at the original equation, you'll notice that it is a difference of squares therefore the factored form will look like something like this:

[tex](ax-b)(ax+b)[/tex] where a and b are the two numbers and the x represents the variable.

This would be the factored form:

[tex](12x-10)(12x+10)[/tex]

It can then be simplified to this:

[tex]2(6x-5)2(6x+5)[/tex]

and this would be its fully factored form:

[tex]4(6x-5)(6x+5)[/tex]

There are 16 parents.

12 of the parents match the criteria.

12/16×100

=75%

Answer:

50 degrees

Step-by-step explanation:

For a RIGHT triangle   tan A = opposite side / adjacent side

tan A = 12/10

arctan ( tan A) = A = arctan (12/10) = 50.19 degrees

See the attachment  for the graphed inequalities.

Answer:

(x+10)(x-10)

Step-by-step explanation:

The factor for x+10 is x+10 itself.

(x+10) = x+10

(x+10) occurs 1 time.

The factor for x-10 is x-10 itself.

(x-10) = x-10

(x+10) occurs 1 time.

The LCM of x+10, x-10 is the result of multiplying all factors the greatest number of times they occur in either term.

(x+10)(x-10)

Answer:

First option, incorrect....

Step-by-step explanation:

This is because the interval is either below or above 26.8 by 0.6

-+ means

26.8 + 0.6 = 27.4

26.8 - 0.6 = 26.2

The confidence interval % can change

- The second option states 28 but that is not in the interval

- The third option is somewhat right but the parameter should be emphasized how confident you are

- The last option is wrong since it has the word "every young" when the initial sentence was the mean

Answer:

[tex]\alpha^3-\beta^3 = \frac{28}{3}\sqrt{\frac{5}{3}}[/tex]

Step-by-step explanation:

The value of a³-B³ from the given quadratic equation is 12.05.

The roots to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, a and B are the roots of the equation 3x²+6x-2=0

By comparing 3x²+6x-2=0 with ax²+bx+c=0, we get a=3, b=6 and c=-2

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

Now, substitute a=3, b=6 and c=-2 in quadratic formula

That is, x = [-6 ±√(6² - 4×3×(-2))]/2×3

= [-6 ±√60]/6

= (-6±2√15)/6

= (-3±√15)/3

So, a=(-3+√15)/3 and B=(-3-√15)/3

Now, a³-B³ = [(-3+√15)/3]³- [(-3-√15)/3]³

= 12.05

Therefore, the value of a³-B³ from the given quadratic equation is 12.05.

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The constant sum for the ellipse with the foci (-5,5) and (0,7) and the point (0,5) is 7

The foci of the ellipse are given as:

F1(−5, 5) aF2(0, 7)

The point is then given as:

Point (0, 5)

Calculate the distance between each focus and the point using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]F_1 = \sqrt{(-5-0)^2 + (5-5)^2}[/tex]

Evaluate

[tex]F_1 = 5[/tex]

Also, we have:

[tex]F_2 = \sqrt{(0-0)^2 + (7-5)^2}[/tex]

Evaluate

[tex]F_2 = 2\\[/tex]

The constant sum is then calculated using:

Constant sum = F1 + F2

So, we have:

Constant sum = 5 + 2

Evaluate

Constant sum = 7

Hence, the constant sum is 7

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Answer:

94 square inches.

Step-by-step explanation:

Surface area is the area around a surface. Thus, in order to calculate the surface area of a rectangular prism, we just need to add up the different faces of it.

There are 2 5x4 faces, 2 3x5 faces, and 2 4x3 faces.

Thus, we get 2*20 + 2*15 + 2*12 = 40 + 30 + 24 = 94 square inches.

Answer:$11.5

Step-by-step explanation:

Admission = $9 charged once

each ride = $2.5x (x=number of rides)

Total cost for x rides

=2.5x+9

Answer:

1 or 100%.

Step-by-step explanation:

The probability of rolling less than 7 is equal to the probability of rolling 1 or 2 or 3 or 4 or 5 or 6. That is 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6. So any number from the dice can come up when you roll it because a perfect dice has 6 sides.

Explanation:

The corresponding sides are congruent, so we simply need to state that fact and invoke the SSS congruence postulate.

__

Statement . . . . Reason

AB≅DC, CA≅BD . . . . given

BC≅CB . . . . reflexive property

ΔABC ≅ ΔDCB . . . . SSS congruence postulate

Survey 50 randomly selected seventh-grade students at each of the district’s middle schools. Then the correct option is A.

A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.

The athletic director of a large school district with about 1,500 seventh-grade students in five different middle schools wants to know which sport is most popular among seventh graders.

The survey method is the best to use will be

Random sampling is the method of selecting the subset from the set to make a statical inference.

Survey 50 randomly selected seventh-grade students at each of the district’s middle schools.

Thus, the correct option is A.

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Step 1: 8 + 2 + (3 × 1)

Step 2: 8 + 2 + 3

Step 3: 10 + 3 [ corrected]

Step 4: 13

Answer:

Here is rest of explanation

Answer:

y=-3x+4.

Step-by-step explanation:

1) the slope can be calculated according the formula:

slope=(y_end-y_init)/(x_end-x_init);

2) according to the formula above:

slope=(3-1)/(0-1)=-3.

3) according to the given graph the interception is 4, then

4) finally, the required equation is y=-3x+4.

Answer:

when you are comparing two sets of data, and one set is strongly skewed and the other is symmetric, which measures of the center and variation should you choose for the comparison?

Answer:

w=39 degrees and r=51 degrees

Step-by-step explanation:

The sum of the angles in a triangle should equal 180 degrees. Knowing this we take (38+103) - 180 = 39. Since opposite angles are always congruent, we can conclude that w is also 39 degrees. Thus we take (39+90)-180 = 51 degrees. (We know that one side is 90 degrees because it has a right angle)

Hope that helps! :)

Answer:

[tex]\angle{EBC}=35\textdegree[/tex]

An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.

Step-by-step explanation:

Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:

It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.

Answer:

friday

Step-by-step explanation:

8th day will be monday

then 32 nd will be monday.

so 36th is friday

Answer: 11 cm

Step-by-step explanation:

        Let x be the length of one of the other sides. If two are equal, then they both will be 2x.

       Then one side is equal to 14 cm.

       All the sides added together, the perimeter, is equal to 36 cm.

      We will take the numbers we pulled from the problem, create an equation, and solve for x.

36 cm = 14 cm + 2x

22 cm = 2x

11 cm = x

          The length of each of the two other sides is 11 cm.

Answer:

y=-x+1

Step-by-step explanation:

7+(10−4)2:4⋅231=7+62:4⋅81=7+36:4⋅81=7+9⋅81=7+89=7+181=881

Answer:

Cole has 15 pencils.

Step-by-step explanation:

First, we have the equation c + o =18, c representing cole, and o representing connor.

From there, we get 5o=c

Using substitiution, we get o=3

5(3)=15

15+3=18

Answer:

they all passed away so they went back to GRU and he burried them and at their f l e s h, The rest all ran away.