The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts​ (a) through​ (d) below.
a. Find the probability of getting exactly 6 girls in 8 births.
b. Find the probability of getting 6 or more girls in 8 births.
c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8​ births: the result from part​ (a) or part​ (b)?
d. Is 6 a significantly high number of girls in 8​ births? Why or why​ not? Use 0.05 as the threshold for a significant event.

Number of Girls x P(x)
0 0.002
1 0.016
2 0.109
3 0.199
4 0.348
5 0.199
6 0.109
7 0.016
8 0.002

Answers

Answer 1

The answers to the questions are

0.1090.127b is a relevant factor6 is not high

How to solve for the probability

a. From the table the probability of having 6 girls in 8 birth is given as

0.109.

b. The probability of 6 or more girls in 8 births

p(6) + p(7) + p(8)

= 0.109 + 0.016 + 0.002

= 0.127

c. The result from b is the relevant factor given that it includes the probability of getting 6, 7 and 8 girls.

D. No six is not a significantly high number of girls in 8 births. This conclusion is from the fact that 0.109 is greater than 0.05.

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Related Questions

solve for each quotient 2 1/2+7 1/3​

Answers

9.833333333333333333333

The quotient of the given fractions is 9/44.

Given that, [tex]1\frac{1}{2}\div 7\frac{1}{3}[/tex].

How to divide the fractions?

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

The given mixed fractions can be written as, [tex]1\frac{1}{2}=\frac{3}{2}[/tex] and [tex]7\frac{1}{3}=\frac{22}{3}[/tex]

Now, 3/2 ÷ 22/3

=3/2 × 3/22

=9/44

Therefore, the quotient of the given fractions is 9/44.

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Estimate the average rate of change from x=2 to x=5

Answers

Answer:

5x3x2y

Step-by-step explanation:

The average rate of change for the graph is 4/3 from x = 2 to x = 5.

What is Lagrange mean value theorem?

Lagrange mean value theorem states that, if a function f is continuous over the closed interval [a, b] and differentiable over the open interval (a, b), then there must be at least one point c in the interval (a, b) where the slope of the tangent at the point c is equal to the slope of the tangent through the curve's endpoints, resulting in the expression f'(c) = {F(b) -F(a)}/(b-a)

According to the given graph,

At point x = 2,

F(2) = 3

At point x = 5,

F(5) = 7

Since the formula for the average rate of change of the function between x = a and x = b is,

The average rate of change = {F(b) -F(a)}/(b-a)

Here a = 2, b = 5 and F(2) = 3, F(5) = 7

Substitute the values in the formula,

So the average rate of change = (7 - 3)/(5 - 2) = 4/3.

Hence, the average rate of change of the function is 4/3.

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The radius of a cylindrical water tank is 4.5ft, and its height is 11ft. What is the volume of the tank?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

494.8

Step-by-step explanation:

Volume of cylinder = 2pierh + 2pier^2

= 2*3.14*4.5*13 + 2*3.24*4.5^2

= 494.8

Helpppp!!!!!! After a few rides, your friends are ready for some ice cream! You stop into Scoops to You for some ice-cream. Which is the better deal?
3 scoops for $3.69

2 scoops for $2.69

1 scoop for $1.79

Answers

Answer:

3 scoops for $3.69  is better deal.

Step-by-step explanation:

Given that,

There are 3 deals to buy icecram.

3 scoops for $3.69  

2 scoops for $2.69  

1 scoop for $1.79

We can find the cost of 1 scoop for each deal. So,

First deal,

1 scoop = 3.69/3 = $1.23

Second deal,

1 scoop = 2.69/2 = 1.345

We can see that the cost of 1 scoop for deal 1 is less than others. It means first deal is best.

A line passes through the point (8,-5) and has a slope of 3/2

Answers

Answer:

y=3/2x-17

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=3/2(x-8)

y+5=3/2(x-8)

y=3/2x-24/2-5

y=3/2x-12-5

y=3/2x-17

Five students in the chess club went to the state tournament. If 20% of the chess club went to the tournament, how many students are in the chess club?

Answers

Answer:

25 students are in the chess club

Step-by-step explanation:

100×5=500

500÷20=25

I hope it's correct:)

Answer:

25 students

and how?

its 2          5         S       T      U       D          E         N        T         S

ples ill give you the brianliest

Answers

Answer:

72

Step-by-step explanation:

step 1: 10(4+14/7)+12

step 2: 10(4+2)+12

step 3: 10(6)+12

step 4: 60+12=72

Pls help I’ll brainlest ASAP

Answers

Answer:

$180

Step-by-step explanation:

$180

(b) 33 is 75% of what number?

Answers

Your answer should be 44 lol
The answer is 44.
hope this helps youuuu


The temperature early in the morning is 15 °C. The temperature increases by 2 °C for every hour for the
next 5 hours. Write a function for the temperature in degrees Celsius.
f(h)=

Answers

wait don’t you just like times it by 2 and get the answer

I really don’t get it!!

Answers

Answer:

The answer is b.

Step-by-step explanation:

Square root 124, you'll get 29.10, after that once you simplify it, you will get the answer and you will have to do the formula, a^2 + b^2 = c^2 since it is a triangle.

Answer:

x = 11,

m∡LMN = 124°

Step-by-step explanation:

since NO bisects ∡LMN, then ∡LMO = ∡NMO

so we can do the following to solve for 'x':

8x - 26 = 2x + 40

6x = 66

x = 11

now, plug 11 in for 'x' into either expression and double it, since ∡LMN is made up of two equal angles

8(11) - 26 = 88 - 26 = 62

62 x 2 = 124

How do I find the measure of each marked angle question 14

Answers

Answer:

x=38

Step-by-step explanation:

hope this helps!

if angles are on a line like that, both equations added up together will always be equal to 180.

like this:

2x-10+3x = 180

5x-10=180 (combine)

5x=190 (subtract 10 on both sides)

x=38 (divide both sides by 5)

Find the perimeter P of
JKLM
with vertices J(-3,-2),K(-5,-5),L(1.-5),M(3.-2) Round your answer to the nearest tenth

Answers

Yes just round it to two decimal then multiply to three then you’ll get ur answer. Simple.

A universitys freshman class has 8900 students. 3471 of those students are majoring in Engineering. What percentage of the frehman class are Engineering majors?

Answers

Answer:

39%

Step-by-step explanation:

pls answer fast. will give brainliest (v2)

Answers

Answer:

Account B   principle for B=400, principle for A=200

Step-by-step explanation:

Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions

will maximize the area of the paddleball court?

Length

Width

L

а length - 20 m, width - 20 m

b. length - 13.33 m, width = 1334 m

C length - 10 m, width - 10 m

d. length - 10 m, width 20 m

Answers

Answer:

ffhhfhhfhhfhfhfhfhhfhhfhfhfhfhfhfhfhfhfhhfhfhfhfh

Answer:

lnfadvogbfvuvgayuvgalof

Step-by-step explanation:

asdbujvygadsoufyudgasoufgaedoy

A diagonal path divides a square park in half. If the park is 50 yards on each side, how long is the path? A. 10 yd. B. 250 C. 50 yd. D. 5000

Answers

Answer:

B) 250

Step-by-step explanation:

Hope this helps!!

Answer: its 5000 i got it right

Step-by-step explanation:

Fifteen students were registered in Section 1 and 15 students were registered in Section 2 of a research course. They took the same midterm exam, and their exam scores were distributed as follows: Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94 Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98 a. Calculate the mode, median, mean, range, variance, and standard deviation for both sections. Include your SPSS output below. (10 pts) b. Which section did better overall on the exam? Fully justify your answer using the concepts in W&G Chapter 3. (3 pts)

Answers

Answer:

a)

For Section 1 -

Mode : 45 , 98

Median - 78

Mean - 73.8

Range - 65

Variance - 537.03

Standard Deviation - 23.17

For Section 2 -

Mode : 67 , 77 , 87 , 88 , 98

Median - 77

Mean - 76.4

Range - 55

Variance - 333.11

Standard Deviation - 18.25

b)

Section 2 did better overall on the exam

Step-by-step explanation:

As given,

Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94

Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98

a)  

For Section 1 -

Mode : 45 , 98

Median - 78

Mean - 73.8

Range - 65

Variance - 537.03

Standard Deviation - 23.17

For Section 2 -

Mode : 67 , 77 , 87 , 88 , 98

Median - 77

Mean - 76.4

Range - 55

Variance - 333.11

Standard Deviation - 18.25

b)

As,

Standard deviation of section 2 < Standard deviation of section 1

⇒ Students of Section 2 are more consistent.

Also,

mean of Section 2 > mean of Section 1,

⇒average score of Section 2 student > Average score of  Section 1 student.

∴ we get

Section 2 did better overall on the exam.

A) Find the area of the shaded region
ill give you brainliest​

Answers

Answer:

2.0

Step-by-step explanation:

Area of Shaded Region = Area of square – Area of circle

Area of square = 3×3 = 9

Area of circle = π×r² = π×1.5² ≈ 7.068

(radius of circle is half of the side length)

9–7.068≈2.0

4/4 times 1/2 PLEASE HURRY ILL MARK BRAINLIEST

Answers

Answer: 1/2

Step-by-step explanation:4

4

×  

1

2

=  

1

2

Result in decimals: 0.5

Calculation steps:

4

4

×  

1

2

=  

4 × 1

4 × 2

=  

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

Further explanation

For the problem:

4

4

×  

1

2

= ?

Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

4 × 1

4 × 2

=  

4

8

The Greatest Common Factor (GCF) of 4 and 8 is 4. The result can be simplified by dividing both the numerator and denominator by 4.

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

The result is:

4

4

×  

1

2

=  

1

2

Answer:

1/2

Step-by-step explanation:

any expression divided by itself is 1

1×1/2

any expression multiplied by 1 remains the same

1/2

Find the area of the figure.

(Simplify Your Answer)

Answers

Answer:

7550 meter square

area of rectangle = Length x breadth

= 130 x 20

= 2600 meter square

area of triangle = 1/2 x base x height

1/2 x (130-20)m x (130-40)m

1/2 x 110m x 90m

55 x 90

4950 metre square

area of rectangle + area of triangle

4950 + 2600

7550 meter square

Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 + 3x3 − 16x2 + 3x − 18 d 4x4 + 3x3 − 16x2 + 27x − 18

Answers

Answer:

D

Step-by-step explanation:

We want to find:

[tex](x^2+2x-3)(4x^2-5x+6)[/tex]

Distribute:

[tex]=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)[/tex]

Distribute:

[tex]=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)[/tex]

Rearrange:

[tex]=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)[/tex]

Combine like terms:

[tex]=4x^4+3x^3-16x^2+27x-18[/tex]

The answer is D.

increase 2 hour 30 minute by the ratio of 6:5​

Answers

Answer:

we get 180 minutes; this is equivalent to 3 hours

Step-by-step explanation:

Solving this problem is easier if we convert 2 hr 30 min to min:  150 min.

In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.

We write and solve an equation of ratios:

6        x

--- = ------                          This becomes 5x = 900 through cross multiplication.

5     150

solving this for x, we get 180 minutes; this is equivalent to 3 hours.

The time taken should be 180 minutes or 3 hours.

Calculation of the time taken:

Since there is an increase of 2 hours 30 minutes by the ratio of 6:5​

So here we convert 2 hr 30 min so it comes 150 min.

Now the time taken should be

5x = 900

x = 150 minutes

hence, The time taken should be 180 minutes or 3 hours.

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which correctly shows 5.05 and 5.5

Answers

Answer:

how are we gonna answer the question if there is no picture of it

Step-by-step explanation:

Find the whole. 215% of what number is 172

Answers

I think it would be 369.8 please check my answer!

What is the solution to 3x - y = 13 and 2x + 5y = 20

Answers

Answer:

Step-by-step explanation:

x = 10 - 5/2y

2x+5y=20
3x-y=13 (•5)

2x+5y=20
15x-5y=65

17x=85

X=85/17

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 417 gram setting. It is believed that the machine is underfilling the bags. A 13 bag sample had a mean of 415 grams with a standard deviation of 30. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer:

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis

Step-by-step explanation:

Given the data in the question;

sample size n = 13

sample mean x" = 415

standard deviation s = 30

level of significance = 0.1

so;

Null hypothesis H₀ : μ = 417

Alternative hypothesis Hₐ : μ < 417

degree of freedom DF = n - 1 = 13 -1 = 12

Rejection Region { level of significance = 0.1, df = 12 }

critical value of t is - 1.356 as { left tailed test }

Test Statistics;

t = (x" - μ) / [tex]\frac{s}{\sqrt{n} }[/tex]

we substitute

t =  (415 - 417) / [tex]\frac{30}{\sqrt{13} }[/tex]

t = -2 / [tex]\frac{30}{\sqrt{13} }[/tex]

t = -0.24

so, from table;

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis

Lattice Arena sold a total of 150 tickets to a basketball game. 90 of the tickets were sold to fans of the home team. What percent of the tickets were sold to fans of the home team?

Answers

Answer:
60%
Explanation:

60 percentage of the tickets were sold to fans of the home team.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

To find the percentage of tickets sold to fans of the home team,

we need to divide the number of tickets sold to home team fans by the total number of tickets sold, and then multiply by 100 to convert the fraction to a percentage:

Percentage of tickets sold to home team fans = (Number of tickets sold to home team fans / Total number of tickets sold) x 100%

Number of tickets sold to home team fans = 90

Total number of tickets sold = 150

Percentage of tickets sold to home team fans = (90 / 150) x 100%

Percentage of tickets sold to home team fans = 0.6 x 100%

Percentage of tickets sold to home team fans = 60%

Therefore, 60% of the tickets were sold to fans of the home team.

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4. The area of a rectangle is (x2+8x + 12) cm. If the
length of the rectangle is (x + 6) cm, show that is
breadth is (x + 2) cm.​

Answers

Answer:

★ Given :

Area of triangle = x² + 8x + 12 cm²

length = (x+6)cm

★ To show :

breadth = (x+2) cm

★ Solution :

We know that,

Area of a rectangle = length × breadth

by putting values

(x² + 8x + 12) = (x+6) × breadth

by diving (x² + 8x + 12) into factors

using middle term splitting

x² + 6x + 2x + 12

x(x+6) + 2(x+6)

= (x+2)(x+6)

(x+2)(x+6) = (x+6) × breadth

Hence, verified..

Answer:

hope it helped have a good day mate

(x-4)^2=25 by taking the square root

Answers

Answer:

x = -1, 9

Step-by-step explanation:

[tex](x-4)^2=25\\x-4=\sqrt{25}\\[/tex]

x - 4 = ±5 (positive or negative 5, because (-5)^2 = 25)

x - 4 = 5

x = 9

or

x - 4  = -5

x = -1

x = -1, 9

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