Akili has two tests next week. The probability that he will pass the first test, science, is 3 4 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 4 5 ; otherwise, the probability is only 1 3 that he will pass the math test. What is the probability he passes exactly one test

Answers

Answer 1

Answer:

0.2333 = 23.33% probability he passes exactly one test

Step-by-step explanation:

We have these following probabilities:

3/4 probability that he passes the first test.

If he passes the first test, 4/5 probability that he passes the math test.

If he does not pass the first test, 1/3 probability that he passes the math test.

What is the probability he passes exactly one test

Two scenarios:

Pass first(3/4 probability) and fails second(1/5 probability).

Fails first(1/4 probability) and passes second(1/3 probability). So

[tex]p = \frac{3}{4}*\frac{1}{5} + \frac{1}{4}*\frac{1}{3} = \frac{3}{20} + \frac{1}{12} = \frac{9 + 5}{60} = \frac{14}{60} = 0.2333[/tex]

0.2333 = 23.33% probability he passes exactly one test


Related Questions

Which of the following best completes this excerpt?
A. equal pay

B.own property

C.a public education

D.vote

Answers

Answer:the answer is vote

The most controversial claim was Right to vote.

What are fundamental Rights?

A group of rights known as fundamental rights have received extensive protection from infringement. These rights have either been determined via the application of due process of law or are expressly stated in a constitution.

Given:

According to declaration of rights and sentiments

It proclaimed that “all men and women are created equal” and resolved that women would take action to claim the rights of citizenship denied to them by men.

The Declaration of Sentiments declares that all men and women are created equal and that each has the unalienable rights to life, liberty, and the pursuit of happiness.

So, the most important claim was Right to vote.

Learn more about fundamental Rights here:

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Find the value of x.
4
X
25
10
x = [?]

Answers

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10/4 x 25/x

Cross multiply and it will give you 100/10x

Divide and get 10

2x−y=5 If x=4, then y=

Answers

Answer:

Y = 3

Step-by-step explanation:

2(4) = 8

Subtract 8 on both sides

-y = -3

Y=3

PLS HELP WILL GIVE BRAINLIEST AND 50 POINTS IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!
The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won:

The title of the graph is Tennis Matches. On the x-axis, the label is Number of Months of Practice. On the y-axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x-axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)

Answers

First we have to understand that a Y-intercept of a line is the point where a line’s graph intersects or crosses the Y-axis. In this case we will need to look at the graph in order to find the Y-intercept. Looking at the graph I would say that the Y-intercept is (0,3.5).

For part B you can use the following:

y = m x + b

y = (7/4) * 13 + 3

26 Is your answer

Goodluck

:):

PLEASE HELPPPPPP

Solve this equation after changing it to have a base of e: 30 (.93) ^ x = 20

Answers

Answer:

U2I282 88X29Z SMQ0J9WJ8D,E,F,BF

Step-by-step explanation:

5. Select all the expressions that represent the area of the shaded rectangle.
A. 3(10 - c)
C
B. 3(c - 10)
3
C. 10(0 - 3)
D. 10(3-0)
10
E. 30 - 30
F. 30 - 100

Answers

Answer:

Step-by-step explanation:

what shaded rectangle?

Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew. How many sit-ups did Matthew complete?14 sit-ups

24 sit-ups

52 sit-ups

224 sit-ups

Answers

Answer:

224 sit-ups

Step-by-step explanation:

multiply 56 by 4

A chain of sports shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on her initial purchase and supplies. Based on these figures, to explore the possibility of offering combinations, such as a pair ofboots pair skis, induce customers to buy more. As of cash register receipts revealed these initial purchases:$85 $139 $161 $175 $85 $133 $149 $145 $136 131 290235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139(a) Find the smallest class interval, use five classes.(b) What would be a better class interval?

Answers

Answer:

47.4 ;

50

Step-by-step explanation:

Given the data :

X ($) : 85 139 161 175 85 133 149 145 136 131 290 235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139

The smallest class interval :

Range / number of classes

Number of classes to use = 5

Range = Maximum - Minimum = (322 - 85) =237

Hence, smallest class interval :

237 / 5 = 47.4

A better class interval would be, one without decimal, rounded to the nearest 10; this will be easier and make more statistical sense

Hence, smallest class interval rounded to the nearest 10 :

47.4 = 50 (nearest 10)

Notes:
A Percent is the____
of a number to 100. Percents can be expressed _____
with a denominator of 100.
as

Answers

Answer:

1. RATIO

2. ONLY

I Hope This Helps You.

A chemist needs 40 liters of a solution that is 20% acid for a certain experiment, but she has
only a solution that is 15% acid and a solution that is 40% acid. How many liters of the 15% and
the 40% solutions should she mix to get what she needs?

Answers

10 L total x= 5% 10-x equals 40%Amount of ingredients= Final amount.05x . 40(10- X)=.20(10) solve for ‘x’ The amount Of 5% then 10-x= 40% amount

BRAINLIEST Write an equation that represents the line
Use exact numbers

Answers

Answer: Steep. Its 50% steep.

which is the closest to the quotient 4367/0.004​

Answers

Answer:

1091750

Step-by-step explanation:

if your dividing

In which table is y a linear function of x

Answers

Answer:

We conclude that the table C represents a constant change in x and y.

Hence, table C represents that y is a linear function of x.

Step-by-step explanation:

Here are some of the rules using which we can easily figure out the true nature of a function.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

We have to find a table in which y is a  linear function of x.

Checking the table C

x         -1         0        1         2          3

y         6         8       10        12        14

Here:

There is a  constant change in x.

i.e. 0 - (-1) = 1;  1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1

Also there is a  constant change in y.

i.e. 8 - 6 = 2;  10 - 8 = 2;  12 - 10 = 2;  14 - 12 = 2

Thus, we conclude that the table C represents a constant change in x and y.

Hence, table C represents that y is a linear function of x.

Зх - у = 2
What is the y corddinate

Answers

Answer:

y=3x-2

Step-by-step explanation:

Answer:

the y is -2

Step-by-step explanation:

wyaggsgssgsgs

Chicken costs $3.20 per pound, and beef costs $4.59 per pound. What is the exact cost of 3 pounds of chicken?

Answers

Answer:

$9.60

Step-by-step explanation:

3.20x3=9.60

craig has a coin and a number cube.The number cube is labeled 1-6.He flips the coin once and rolls the number cube once.What is the probability that the coin lands heads up and the number cube lands on an odd number

Answers

Answer:

3/12

Step-by-step explanation:

The graph below shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second). What is the slope of the line?

Answers

Answer:

The slope is 3.75 OR 3 3/4.

Step-by-step explanation:

So the formula for slope I am using NOW, is based on the variables I named my dimensions. WARNING: NOT SLOPE FORMULA YOU MIGHT BE USING

y = 95 - 80

x = 10 - 6

Slope Formula: y/x

Substituted Slope Formula: (95 - 80)/(10 - 6)

Simplified Substituted Slope Formula: 15/4 OR 3.75

Hope this helps!!

The slope of the given linear equation is 3.75.

Given that, the graph given shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second).

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

From the given graph we have the coordinates (6, 80) and (10, 95).

The slope of an equation = (y2-y1)/(x2-x1)

=(95-80)/(10-6)

=15/4

=3.75

Therefore, the slope of the given linear equation is 3.75.

To learn more about the linear equation visit:

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Rewrite the function f (x) =3(x-1)^2-2 in the form f(x) = ax²+bx+c.

Answers

Answer:

3x^2-6x+1

Step-by-step explanation:

According to order of operations, you do exponents before multiplying. So, (x-1)^2=x^2-2x+1, then you multiply it by 3. Lastly, you subtract by 2.

The product of (a − b)(a − b) is a perfect square trinomial.

A. Sometimes
B. Always
C. Never

Answers

Answer:

Always.

Step-by-step explanation:

Answer:

Always

Step-by-step explanation:

The first term of the product is always the first term of the original binomial squared.

The middle term of the product is always negative and equal to twice the product of the first and last terms of the original binomial.

The last term of the product is always positive and equal to the last term of the original binomial squared.

EX: Find the product of (3x − 4)2.

Identify what a and b are in the given binomial. Here, a is equal to 3x and b is equal to 4.

(3x − 4)2

substitute a for 3 times x and substitute b for 4 a     b

Now, substitute the values for a and b into a2 − 2ab + b2.

a2 − 2ab + b2

Make sure you place the term in parentheses when it involves more than one factor. Then, use the Power of a Product rule to simplify.

(3x)2 − 2(3x)(4) + (4)2

32x2 − 24x + 16

9x2 − 24x + 16

Done!

Mark wants to buy a new pair of shoes that cost $95. He has $20 and plans to save $5 each week. How many weeks will it take him to save the money?

Answers

Answer:

it would take him 15 weeks

Step-by-step explanation:

cost of shoes= 95

he has 20        so 95-20= 75

he needs 75 more dollars so 75 divided by 5= 15 weeks

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years. Suppose that it is somehow known that the population standard deviation is 1.4. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.

Answers

Answer:

sigma should be used

Step-by-step explanation:

Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.

The above given is for sample of 27 size.

For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.

But once population std deviation is given, we use only that as that would be more reliable.

So here we can use population std deviation 1.4 only.

If population std deviation is used we can use normality and do Z test

Hope this helps ;)

please help fill in these blanks

Answers

Answer:

1) 2

2)30

3)10

-Sumin <3

what is the variable in the expression 3y+8​

Answers

The variable: is y

The variable is y




Solve for “x” x+2 1/2=10.

Answers

Answer:

x = 7.5

Step-by-step explanation:

x + 2 1/2 = 10

Subtraction Property of Equality

x = 7 1/2 as a mixed number = 15/2 as an improper fraction = 7.5 in decimal form

I usually prefer decimal form

Which are corresponding angles

Answers

Answer:

oposite to its angle when they are parallel

Original price of a sled: $99.50
Discount: 50%

Answers

Answer:

49.75

Step-by-step explanation:

1/2 (50%) of 99.50 is 49.75


anyone very good in math and wanna helpppp me?

Answers

the slope is 5/3 (five over three)

What is the distributive property of 35y + 49

Answers

Answer:

7(5y+7)

Step-by-step explanation:

7×5y=35y

7×7=49

so its 7(5y+7)

PLEASE HELP!! WILL MARK BRAINLIEST!! DONT GUESS :)

Answers

It’s an isosceles triangle this picture should help

Which statement is NOT true in the equation y = 9x?

The value of y is 9 times the value of x.
The equation represents an additive relationship.
The value of y is 45 when the value of x is 5.
The equation represents a multiplicative relationship.

Answers

Answer:

dhdbdudbdudbdne d ieh eue

Answer: the equation represents an addictive relationship

Step-by-step explanation:

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