A science class has 5 girls and 7 boys in the seventh grade and 5 girls and 5 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Write your answer as a fraction in simplest form.

Answers

Answer 1

We have a total of 10 boys & 8 Girls, then the sample space consist of 18 elements.

P(selecting 1 boy) = (total number of boys/by 18) = P(boy)=10/18=5/9

Answer 2
I agree with the person on top have a beautiful day:)

Related Questions

Which of the following is true about the function below? ​

Answers

Answer:

The answer is D.

Explain your answer !!
Have a nice day

Will give braisnlt

Answers

Answer:

x = 4 and y = 1

Step-by-step explanation:

The given equations are :

2x+5y = 13 ...(1)

3x-2y = 10 ...(2)

We can use elimination method to solve the given equations.

Multiply equation (1) by 3 and equation (2) by 2.

6x+15y=39 ...(3)

6x-4y=20 ...(4)

Subtract equation (3) from (4).

6x-4y-(6x+15y) = 20-39

6x-4y-6x-15y = -19

-19y=-19

y = 1

Put the value of y in equation (1).

2x+5y = 13

2x+5=13

2x=8

x = 4

So, the solution of the given equations are x = 4 and y = 1.

help please and thanks

Answers

Answer:

C

Step-by-step explanation:

6/9 simplified is 2/3 they're equal to each other so they're proportional

Hope this helps :)

A.find the price elasticity of demand at the equilibrium points? quantity demand=72-8p and quantity supply=-24 +24p. B.substitutes the equation.​

Answers

Answer:

p = 3

Step-by-step explanation:

The price elasticity of demand at the equilibrium points occurs when quantity demand equals quantity supply.

So,

72-8p= -24 +24p

Taking like terms together,

72+24 = 24p+8p

96 = 32p

p = 3

Hence, the price elasticity of demand is at p = 3.

Help me pls pls pls

Answers

Answer:

1. C            2. B             3. E         4. also B

Step-by-step explanation:

Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Answers

Answer:

B = 243°

Step-by-step explanation:

Full revolution = 360°

360 - 117 = 243

Answer:

243 degrees

Step-by-step explanation:

The angle of a full circle = 360 degrees

360 - 117 = 243

#3c Part 1: What postulate did you make use of to answer parts a and b?
1 point
Segment Addition Postulate
Angle Addition Postulate
Corresponding Angles Postulate
Ruler Postulate

Answers

Answer:

Option C : Correponding Angles Postulates .

Step-by-step explanation:

Hope It May Help You !!!

What is the equation of the line in slope-intercept form?

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

y = mx + b

y = y coordinate

m = slope (rise/run, up/over, change in y/change in x)

x = x coordinate

b = y intercept (where the line crosses the y-axis.

1. Write the equation                                                            y = mx + b

2. Substitute the numbers in the proper place.                y = 3/1 x + 4

3. Check for the type of slope- (positive or negative)      y = -3x + 4

    (Downhill slopes are always negative.)

- Kirk is reading a book and found that after 5 days he had read 180 pages.
rate is Kirk reading the book in (b) If the book is 765 pages long, how many
days will it take him to read the book at
the rate you found in (a)?

Answers

Answer:

21.25 days

Step-by-step explanation:

We first need to find the rate that he read the book for the first 5 days:

180 (pages)/5 (days)= 36

So he reads 36 pages a day. Now we need to find how many days it will take him to read the whole book, while reading 36 pages a day.

765 (total pages)/36 (pages he reads in a day) = 21.25

Have a wonderful day, my friend.

405\450 = 9/10
process

Answers

Answer:

Correct

Step-by-step explanation:

Just divide both the numerator and the denominator by their common factors.

First of all factor both of the numbers.

405=5*3^4

450=5^2*3^2*2

Now line it up.

5*3*3*3*3

---------------

5*5*3*3*2

Now we can cancel out some numbers and get

3*3

-----

5*5

Now we actually multiplies them again and get.

9/10

This is the process of how to get it hope it helped!

z + y2
for y = 6 and z = 1

Answers

Answer:

37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

z + y²

y = 6

z = 1

Step 2: Evaluate

Substitute in variables:                                                                                     1 + 6²Evaluate exponents:                                                                                         1 + 36Add:                                                                                                                   37

Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Answers

Answer:

A. obtuse

Step-by-step explanation:

This is because in an obtuse angled triangle one of its angle is greater than 90° and here angle RQS = 112° which is greater than 90°, so it's a obtuse triangle.

Answer:

A. obtuse triangle

Step-by-step explanation:

the degree of RQS is greater than 90º

plz help will give brainliest
The number of cans the soup kitchen has is represented by the equation, y = -63x + 825, where x represents the number of days and y represents the number of cans. How many cans will the soup kitchen have left after 10 days?

Answers

Answer:

195 cans

Step-by-step explanation:

Start by multiplying -63 by 10, since 10 should be in place of x. You will get -630. Add 825 to -630 and you will get 195.

100 POINTS PLZ HELP ME

This graph shows a proportional relationship.




What is the constant of proportionality?


Enter your answer as a ratio in simplified form by filling in the boxes.


$$


A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 1 over 4 end fraction comma 3 over 8 end fraction right parenthesis.

Answers

Answer:

I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate

Step-by-step explanation:

if you add a graph, ill edit my answer

hope this helps!

Which expression is equivalent to the measure of angle 4 in the image below?

Answers

Answer:

2 would be ur answer

Step-by-step explanation:

sry i have to put more then 20 chrarcters

Answer: 2 is equivalent to 4

Step-by-step explanation:

You are the coach of a basketball team that is currently looking for new players. One of the criteria for selection as a player is that the person must be above a particular height. Ideally, you want your next player to be as tall as possible. However, you do not want to rule out any potential players by making the cut-off height too strict. You decide that accepting players within the top 2.5% height bracket will be reasonable for your team. Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in. Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team. you may find this standard normal table useful. Give your answer in inches to the nearest inch.
C= _____ in

Answers

Answer:

C = 75 in

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.

This means that [tex]\mu = 69, \sigma = 2.9[/tex]

Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 69}{2.9}[/tex]

[tex]X - 69 = 1.96*2.9[/tex]

[tex]X = 74.7[/tex]

Rounded to the nearest inch,

C = 75 in

if 8 out of 40 people over the age 95 are female, how many are male?​

Answers

Answer:

32

Step-by-step explanation: (40-8=32) There are 32 male's

Answer:

32

Step-by-step explanation:

8 out of 40 people is a ratio of 20 %

32 out of 40 people is a ratio of 80%

Therefore it would be 32 people are males. :D

Hope this helps

A summer picnic is being planned and 96 employees are invited to vote for one of the
following themes: Sun, Surf, or Sand. Seventy-five percent of the employees
participate in the voting.
If there are 19 votes for Sun and 27 votes for Surf, how many employees voted for
Sand?
24
26
Ο Ο Ο Ο Ο
38
42
50

Answers

The amount would be 26, HOPE THSI HELPS <3!!!

May I get brainliest please

-2xSquared +4x-1 minus 6x squared+3x-9

Answers

Your answer is 4x^2+7x-10

In a research experiment, the population of a colony of bacteria doubles every hour. The population, f() of the colony atter z hours can be modeled by the function () - 25.2" What values for the domain are reasonable in the given
context

Answers

Answer:99

4/2ndjsjhowkllsnlove u

Which set of national numbers is arranged from least to greatest?

Answers

Answer:

the first one

Step-by-step explanation:

negative . 50 then -.20 1/9 then one

Question 1
5 pts
(07.01 LC)
What is the value of x in the equation -6 + x = -2? (5 points)
8
-4
-8
4

Answers

Answer:

4

Step-by-step explanation:

solve problems
5 1/2×3 1/3​

Answers

5 1/2 X 3 1/3=18 1/3

Solve by graphing.
x + 3y = -9
5x + 3y = 3 ​

Answers

Answer:

Step-by-step explanation:

The solution of the system of linear equations is [tex]x = 3[/tex] and [tex]y = -4[/tex].

In this question, we notice that given system of linear equations consist of two equations and two variables, which means that solution is unique and can be found by graphic means. We proceed to graph each line with a graphing tool and label the point, in which both lines intersect each other.

The outcome from the graphing tool is presented below as attachment. In a nutshell, the solution of the system of linear equations is [tex]x = 3[/tex] and [tex]y = -4[/tex].

We kindly invite you to see this question related to systems of linear equations: https://brainly.com/question/13647755

Can you help me please!

Answers

Answer:

10 and under: 2, 11-15: 6, 16-20: 7, over 20: 5

Step-by-step explanation:

Classify the polynomial by Degree and number of Terms
b^3+2b^2-b^2+3b^2+25

A. Quadratic Polynomial
B. None of the answers apply.
C. Cubic Trinomial
D. Polynomial

Answers

Answer:

C) Cubic Trinomial

Step-by-step explanation:

First, we combine like terms to simplify the polynomial. Like terms means having the same variable and exponent.

We get this expression: b^3+4b^2+25

There are 3 terms in this polynomial. Thus, it classifies as a trinomial. And its highest degree is 3, so it’s a cubic trinomial

if mary smith and karen white have identical sat scores and quality of letter, but mary smiths high school gpa is 1.5 point higher than karen, how much higher will marys college gpa be than karens

Answers

Required table is attached below :

Answer:

0.56

Step-by-step explanation:

Since they both have :

SAT score is the same ; quality of letter is the same ;

High school GPA is 1.5 points higher ;

Therefore, to determine how much Mary's GPA will be higher than Karen's :

Multiply the number of points by the Coefficient of high school GPA Given in the regression table attached below :

High school GPA Coefficient = 0.37635

Number of points = 1.5

= 1.5 * 0.37635

= 0.564525

= 0.56

Construct 98% confidence intervals based on the following data: 49, 38, 67, 69, 58, 70, 66, 85.​

Answers

Answer:

May I have a little more context please?

Step-by-step explanation:

Calculus BC Help - Series
6. Let f be the function defined by f(x)=1x2+9.

(a) Evaluate the improper integral ∫∞3f(x) dx, or show that the integral diverges.
(b) Determine whether the series ∑n=3∞f(n) converges or diverges. State the conditions of the test used for determining convergence or divergence.
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges.

Answers

Answer:

So you have a power of x^2, notice if you have a harmonic series, or if it looks familiar, which it should, hint (1/x) Now integrate: let u= x/3 dx=3dunow integral (1/u^2+1) recognize thats arcso you get a result of: arctan(x/3)/3+c

A company produces only one type of light bulbs. The light bulbs are being manufactured two factories: Factory A and Factory B. Factory A produces 10, 000 bulbs every year, while Factory B produces 2, 000. Also 2% of bulbs from Factory A are defective while 1% of bulbs from Factory B are. After production all bulbs are brought to the same facility and shipped to retail stores.

Required:
a. What is the probability that a bulb bought from a store is defective?
b. Given that the bulb is defective, what is the probability that it was produced by Factory A?
c. Given that the bulb is functional, what is the probability that it was produced by Factory A?

Answers

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

Given values:

[tex]P(\frac{D}{A})=0.02 \\\\P(\frac{D}{B})=0.01\\\\P(A)=\frac{10,000}{10,000+2000} =\frac{10}{12} =\frac{5}{6} \\\\P(B)=\frac{1}{6}\\\\[/tex]

For point a:

[tex]P(D) =p(D\cap A) +P(D \cap B)\\\\[/tex]

         [tex]=P(\frac{D}{A}) \times P(A) + P(\frac{D}{B}) \times P(B)\\\\=0.02 \times \frac{5}{6} + 0.01 \times \frac{1}{6}\\\\=\frac{0.1}{6} + \frac{0.01}{6}\\\\=\frac{0.1+0.01}{6} \\\\=\frac{0.11}{6} \\\\=\frac{11}{600} \\\\=0.0183[/tex]

For point b:

[tex]P(\frac{A}{D})= \frac{P(\frac{D}{A}) \times P(A)}{P(D)}\\\\[/tex]

         [tex]= \frac{0.02 \times \frac{5}{6}}{\frac{11}{600}}\\\\= \frac{0.02 \times \frac{5}{6}}{0.0183333333}\\\\= \frac{0.02 \times 0.833333333}{0.0183333333}\\\\= \frac{0.0166666667}{0.018}\\\\=0.9090 \approx 0.0991[/tex]

For point c:

[tex]P(\frac{A}{D^C})=\frac{P(\frac{D^c}{A}) \times P(A)}{P(D^c)}\\\\[/tex]

           [tex]= \frac{1-0.02 \times \frac{5}{6}}{1- \frac{11}{600}}\\\\= \frac{0.98 \times \frac{5}{6}}{0.98}\\\\=\frac{5}{6}\\\\=0.833[/tex]

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