In a class,three fifths of the children are girls.what percentage are boys.

Answer:

The correct option is (B) 0.173.

Step-by-step explanation:

The law of total probability states that:

[tex]P(A)=P(A\cap B)+P(A\cap B^{c})[/tex]

The conditional probability of an event A given that another event B has already occurred is:

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

Then the probability of intersection of A and B is:

[tex]P(A\cap B)=P(A|B)\cdot P(B)[/tex]

Denote the events as follows:

H = a man died from causes related to heart disease.

X = a man had at least one parent who suffered from heart disease

The information provided is:

[tex]P(H)=\frac{210}{937}\\\\P(X)=\frac{312}{937}\\\\P(H|X)=\frac{102}{312}[/tex]

The probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is, [tex]P(H|X^{c})[/tex].

Compute the value of [tex]P(H|X^{c})[/tex] as follows:

[tex]P(H)=P(H|X)\cdot P(X)+P(H|X^{c})\cdot P(X^{c})[/tex]

[tex]\frac{210}{937}=[\frac{102}{312}\cdot \frac{312}{937}]+[P(H|X^{c})\cdot (1-\frac{312}{937})]\\\\\frac{210}{937}-\frac{102}{937}=[P(H|X^{c})\cdot \frac{625}{937}]\\\\\frac{108}{937}=P(H|X^{c})\cdot \frac{625}{937}\\\\P(H|X^{c})=\frac{108}{937}\times \frac{937}{625}\\\\P(H|X^{c})=0.1728\\\\P(H|X^{c})\approx 0.173[/tex]

Thus, the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is 0.173.

The correct option is (B).

Answer:

[tex] \: \: \: \: \: 1 : 3 \\ = 4 : 12 \\ = 6 : 18 \\ = 8 : 24 \\ [/tex]

hope this helps

Answer:

Answer:

4:12

6:18

8:24

hope this helps

Step-by-step explanation:

Answer:

A. x = -5, 4

Step-by-step explanation:

0 = x^2 + x -20

0 = (x + 5)(x - 4)

x = -5, 4

Answer:   x=-4 and x=5

Step-by-step explanation:

0 = x^2 + x -20

0 = (x + 5)(x - 4)

then to find the zeros we should switch the signs so the answer is :

-4,5

Answer:

[tex]\frac{3375}{512}[/tex] or ≈6.59

Step-by-step explanation:

We can first begin by simplifying each of the numbers with exponents. Recall that in a fraction exponent, the numerator is the power, while the denominator is the root.

Take [tex]25\frac{3}{2}[/tex] for example. The '2' in the fraction means we must take the square of 25. √25 = 5.

The '3' in the fraction means we take the power, which means we must cube '5'.

5³ = 125. Therefore, [tex]25\frac{3}{2}[/tex]  = 125. Use this process for the other numbers:

[tex]25^{\frac{3}{2} } = 125\\243^{\frac{3}{5} } = 27\\16^{\frac{5}{4} } = 32\\ 8^{\frac{4}{3} } = 16[/tex]

The new fraction would look like:

[tex]\frac{125 * 27}{32 * 16}[/tex]

Which simplifies to:

[tex]\frac{3375}{512}[/tex] or ≈6.59

Answer:

Step-by-step explanation:

(25) raise to 3/2 = (5^2) raise to 3/2 and 2 gets cancelled when the bracket is opened which leaves 5^3.

(243) raise to 3/5 = (3^5) raise to 3/5 and 5 gets cancelled when the brackets are opened which leaves 3^3.

(16) raise to 5/4 = (2^4) raise to 5/4 and 4 gets cancelled when the bracket is opened which leaves 2^5.

(8) raise to 4/3 = (2^3) raise to 4/3 and 3 gets cancelled when the brackets are opened which leaves 2^4.

5^3 * 3^3 divided by 2^5 * 2^4

= (5 x 3)^ 3 / 2^5+4                   [∵a^m x b^m = (ab)^m] & [a^m x a^n = a^m+n]

15^3 / 2^9

This when simplified gives 6.591.

So,  15^3 / 2^9 is approximately equal to 6.59

PLS MARK IT AS BRAINLIEST

Answer:

b

Step-by-step explanation:

Answer:

The Correct Answer is b

Step-by-step explanation:

Correct on Edg 2020

heart and give me a good rating if you dont mind ;)

Answer:

1617 cm of thread.

Step-by-step explanation:

We are told that the equivalence would be that for each cm of shirt Kira gets 231 cm of thread, therefore it would be:

231 cm thread / 1 cm shirt

they tell us that she managed to remove 7 cm of shirt, therefore:

7 cm shirt * 231 cm thread / 1 cm shirt = 1617 cm thread

Therefore Kira obtained 1617 cm of thread.

Answer:

Kira gets 1,617

Step-by-step explanation:

In Khan word problems 4 grade divsion TRUST ME I GOT IT RIGHT!! THANK U

Answer:

D.

Step-by-step Explanation:

In the attached file

Answer: [tex]20x+18y+17z[/tex]

Step-by-step explanation:

[tex]x+20y-2z+19x-2y+19z\\(x+19x)+(20y-2y)+(-2z+19z)\\20x+18y+17z[/tex]

Answer:

21 inches

Step-by-step explanation:

1 inch = 6 miles

126/6 = 21

Answer:

The first option

Step-by-step explanation:

You need to find the average of the y-coordinates because you are looking for the y-value of the midpoint

Answer:

The first one

Step-by-step explanation:

Hope this helped

Answer:

There are 11 small jars on a table and 3 of 11 are jars of honey.

=> Probability that Rosie takes at least 2 jars honey:

P = P(Rosie picks 1 jar of honey) + P(Rosie picks 2 jars of honey)

  = (3/11) x (8/10) + (8/11) x (3/10) + (3/11) x (2/11) =  0.486 = ~0.49

Hope this helps!

:)

Answer:

Step-by-step explanation:

you can use a treee diagrammm so the answer ist goeig to be 0.49 thums up

Answer:

27q + 74

Step-by-step explanation:

=80 - 48q -21q - 6

=27q + 74

Answer:

30

Step-by-step explanation:

Multiples of 10 = 10,20,30

Multiples of 30= 30,60,90

The smallest one is 30

Answer:

30

Step-by-step explanation:

GCF(10,30) = 10

LCM(10,30) = ( 10 × 30) / 10

LCM(10,30) = 300 / 10

LCM(10,30) = 30

Answer:

The class width of this grouped frequency distribution (GFDT) = 5.

The total width of the distribution = 25, that is, from 60 to 84.

Step-by-step explanation:

The class width of a GFDT (grouped frequency distribution) is obtained by dividing the range by the number of classes required and then rounding up.

Note that rounding up is different from rounding off as 4.2 is rounded up to 5 and rounded off to 4.

The class width is the span of each of the class in the grouped frequency distribution.

For this distribution,

Maximum value = 84

Minimum value = 60

Range = (Maximum value) - (Minimum value) = 84 - 60 = 24

Number of classes required = 5

Class width = (24/5) = 4.8 = 5 (rounded up).

The total width of the distribution is given as

Total width = Range + 1 = 24 + 1 = 25.

Hope this Helps!!!

Answer:

12π

Step-by-step explanation:

C = Dπ

C = 12π

Answer:

37.68

Step-by-step explanation:

Trust me

Make me brainleist

Answer:

Width = 3x^2 + 5

Step-by-step explanation:

Area = Length*Width

(6x^2+10)=2*Width     Divide both sides by 2

3x^2+5 = Width

Answer:

3x^2 +5

Step-by-step explanation:

Take the pink area 6x^2 and divide by 2

6x^2/2 = 3x^2

Take the blue area and divide by 2

10/2 = 5

Add them together to find the width

The width is 3x^2 +5

Answer:

10

Step-by-step explanation:

Answer:

im pretty sure its B

Step-by-step explanation:

==========================================================

Work Shown:

d = 8.4 is the diameter

r = d/2 = 8.4/2 = 4.2 is the radius

h = 14.5 is the height

V = pi*r^2*h = volume of cylinder

V = pi*(4.2)^2*14.5

V = pi*255.78

V = 255.78pi = exact volume in terms of pi

V = 255.78*3.14

V = 803.1492

V = 803.1  ... round to one decimal place

The units for the volume are in cubic meters which we can abbreviate as "m^3"

Answer:

Square pizza is the better deal.

Step-by-step explanation:

The better deal will be the one that has larger area of pizza. So, find the area of pizza in the case of square pizza and in the case of round pizza.

Below is the calculation of area of pizzas.

[tex]\text{Area of square pizza} = (Side)^{2} \\\text{Area of square pizza} = (12)^2 \\\text{Area of square pizza} = 144 \ in^2 \\[/tex]

[tex]\text{Now area of round pizza.} \\\text{ The area of round pizza} = \pi r^{2} \\\rm Diameter = 12 \\So, \ radius = \frac{12}{2} = 6 \\\text{ The area of round pizza} = \pi r^{2} \\= \frac{22}{7}\times (6)^2 \\= 113.1 \ in^2[/tex]

Since the area of square pizza is greater than round pizza. Thus, square pizza is better deal.

Answer:

x²-3x+2=0

x²-2x-x+2=0

(x²-2x)(-x+2)=0

x(x-2)-1(x-2)=0

(x-2)(x-1)=0

x-2=0 or x-1=0

x=2 or x=1

Answer:

Step-by-step explanation:

Given the function 2x³ + 5x² + 4x + 8. In order to evaluate the value of the function at x = -2 we will substitute the value of x given into the function as shown;

F(x) = 2x³ + 5x² + 4x + 8

at x = -2

f(-2) = 2(-2)³ + 5(-2)² + 4(-2) + 8

f(-2) = 2(-8) + 5(4) +(-8) + 8

f(-2) = -16+20-8+8

f(-2) = -16+20

f(-2) = 4

The value of the function when x = -2 is 4

Answer:

As the P-value (0.086) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the return rate is less than 15%.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the return rate is less than 15%.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.15\\\\H_a:\pi<0.15[/tex]

The significance level is 0.01.

The sample has a size n=5000.

The sample proportion is p=0.143.

[tex]p=X/n=717/5000=0.143[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.15*0.85}{5000}}\\\\\\ \sigma_p=\sqrt{0.000026}=0.005[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.143-0.15+0.5/5000}{0.005}=\dfrac{-0.007}{0.005}=-1.366[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]P-value=P(z<-1.366)=0.086[/tex]

Answer:

[tex]z=\frac{0.1434 -0.15}{\sqrt{\frac{0.15(1-0.15)}{5000}}}=-1.307[/tex]  

Now we can calculate the p value with the following probability:

[tex]p_v =P(z<-1.307)=0.0956[/tex]  

For this case the p value is lower than the significance level provided of 0.1 so then we can reject the null hypothesis and we can conclude that the the return rate is significantly less than 15%.

Step-by-step explanation:

Information provided

n=5000 represent the random sample taken

X=717 represent the surveys returned

[tex]\hat p=\frac{717}{5000}=0.1434[/tex] estimated proportion of urvyes returned

[tex]p_o=0.15[/tex] is the value to verify

[tex]\alpha=0.01[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if the return rate is less than 15% the system of hypothesis are.:  

Null hypothesis:[tex]p \geq 0.15[/tex]  

Alternative hypothesis:[tex]p < 0.15[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info we got:

[tex]z=\frac{0.1434 -0.15}{\sqrt{\frac{0.15(1-0.15)}{5000}}}=-1.307[/tex]  

Now we can calculate the p value with the following probability:

[tex]p_v =P(z<-1.307)=0.0956[/tex]  

For this case the p value is lower than the significance level provided of 0.1 so then we can reject the null hypothesis and we can conclude that the the return rate is significantly less than 15%.

Answer:

You can afford $1,000 per month as a house payment.

You can get a home loan at 5.3% interest for 15 years (paid monthly).

Then, after 15 years, the price of house that you can afford would be:

A x (1 + (5.3/100)/12)^(12 x 15) = 2.2 x A

With payment of 1000$ per month in 15 years, then we have

2.2 x A = 1000 x 12 x 15 = 180000

=> The price of house that you can afford now, would be:

A = 180000/2.2 = 81818.2$

Hope this helps!

:)

Answer:

It is boxes of cereal and bags of pretzels.

Step-by-step explanation:

Boxes of cereal costs $3.95 per box and pretzels cost $3.59 per bag. This is because 15.8÷4= $3.95 and 10.77÷3= $3.59

Answer:

2.5

Step-by-step explanation:

n = 4 participants

MD = 2, SS = 75

Estimated standard error, s² =[tex]\frac{SS}{n-1}[/tex]

                                             = [tex]\frac{75}{4-1}[/tex] = 25

Standard error = [tex]\sqrt{\frac{Estimated standard error}{n} }[/tex] = [tex]\sqrt{\frac{25}{4}}[/tex] = 2.5

Step-by-step explanation:

-2m - 5m - 8 = 3 + (-7) + m

Solving like terms

-7m - 8 = 3 - 7 + m

-7m - 8 = - 4 + m

Option 2 4 and 5 are equivalent

Answer:

£69.33

Step-by-step explanation:

4/3=1.33333333333 so that 52*1.33333333333 would convert  52 euros into 52 pounds

Answer:

51

Step-by-step explanation:

Volume can be calculated by [tex]\frac{4}{3}\pi r^{3}[/tex]

In this situation, your r (radius) is 2.3. Put 2.3 in to the equation for r, and you get 50.97. Round that to the nearest tenth to make it 51!