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

I really need help quickly please!!!!

Answers

Answer:The third one is!!

Step-by-step explanation:

The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4

Yup absolutely right nice one

PLEASE HELP
what is 30th term of -12, -3, 6, 15

Answers

Answer:

249

Step-by-step explanation:

We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is arithmetic (a fancy word of saying that a sequence is increasing with a constant value every term).

Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form [tex]9n+c[/tex], where [tex]n[/tex] is the term number and [tex]c[/tex] is a constant we are going to figure out right now.

We know that the first term of the sequence is -12, so we see that[tex]9(1) + c = -12[/tex] and hence [tex]c=-21[/tex]. Therefore, the 30th term of the sequence is [tex]9(30) - 21 = 249[/tex].

Which quadratic rule represents the data in the table?
y= -2x2 + 5
y= -x2 + 5
y = x2 - 5
y = x2 + 5

Answers

Answer:

x^2 - 5

Step-by-step explanation:

x = -1, y = 1 - 5 = -4.

x = 0, y = 0-5 = -5.

x = 1, y = 1 - 5 = -4.

2 Evaluate the following expression whenx = 2.
2+7x+2
A. 24
B. 22
C. 10
D. 9

Answers

Answer:

a is the answer bye bye hope that helps you

Diana pays $33 for 12 gallons of gas. Manny pays $37.10 for 14 gallons of gas. How much less per gallon does Manny pay than

Answers

diana pays $2.74, manny pays $2.65. therefore, many pays 10¢ less

In 5 years, Nicole will
be old enough to vote in an election. The minimum age
for voting is at least 18 years. What can you say about
how old she is now? Write and solve an inequality to
show how old Nicole is now. Let a represent Nicole's
age now.

Answers

Answer:

Nicole is 13 years old because x + 5 = 18

Step-by-step explanation:

McKenzie gets a base pay of 1,800 per month.She also earns 12% commission on the amount of car sales.If she sells 45,000 worth of cars how much money does she make in one month

Answers

9514 1404 393

Answer:

  7,200

Step-by-step explanation:

McKenzie's commission for the month is ...

  0.12 × 45,000 = 5,400

When that is added to McKenzie's base pay, she makes a total of ...

  5,400 +1,800 = 7,200

McKenzie makes 7,200 in a month when she sells 45,000 worth of cars.

What ordered pair would be located 2 units up on the y-axis?
Write answer (x,y);
10
9
8
2
0
5
7 8 9 10

Answers

(0,2) that is if you are starting from zero.

Can someone help please.?

Answers

Answer:

D) [tex]\frac{(-p)}{(-3q)}[/tex]

Step-by-step explanation:

This option is the only correct one. To solve for this, insert the numbers into the equation: [tex]\frac{(-6)}{(-3x2)}[/tex]. To solve this, first multiply -3 s 2 at the denominator to get -6. Now divide -6 divided by -6 to get 1. The number 1 is greater than -9. All of the other options have answers that equal -9.

Hope it helps!

Janelle is going to buy a new skateboard. The regular price is $165 but she can receive a 30% discount. How much will she pay for the skateboard l if she receives the discount?

Answers

Answer:

$115.5

I have to write 20 characters

The table shows the approximate diameters of four bacteria cells.
Bacteria Cell Diameters
Cell
Diameter
(meters)
w
0.0000029
х
0.000000024
Y
0.00002
N
0.00000027
Which list shows the bacteria cells in order from least to greatest diameter?

Answers

Answer:

Step-by-step explanation:

It’s b I think

Given that f(x) = 2x and g(x)=2x+5 and h(x)=2x+2 how does g(x) and h(x) compare to f(x)

Answers

Answer:

vkjhfs cjjdjzjzjdjdjududinqbbsjz

Can someone help? I’ll give brainliest

Answers

Answer:

yes i will!

Step-by-step explanation:

10.3
Problem Solving
33/5 as a whole number

Answers

Answer:

6 and 3/5

Step-by-step explanation:

It’s 6 and 3/5 your welcome!


Find the slope and y-intercept of equation y= 10x + 18

Answers

Answer:

slope is 10

y-intercept is 18

Step-by-step explanation:

The slope and y-intercept in y = 10x + 18 are 10 and 18 respectively.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given a line in slope-intercept form which is y = 10x + 18.

We know in y = mx + b, slope = m, and y-intercept = b.

∴ In  y = 10x + 18.

Slope = 10 and  y-intercept = 18.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ5

PLEASE HELP ITS URGENT
8. Calculate the value of Angle B: ___________

Answers

Answer:

36

Step-by-step explanation:

First: add 24and 30 to get 54

Second: subtract 54 from 90

Third: then you get 36 as an answer

a ball is thrown from a height of 40 meters with an initial downward velocity of 5 m/s

Answers

0=40-10t-5t^2

t^2+2t-8=0

(t+4)(t-2)=0

t=-4 (not a solution) or t=2

Answer: after 2 seconds

If 2/3n = -6, then 1/3n =

Answers

Then 1/3 equals -3 because half of 2 is one

4. A bicycle tire has a radius of 13 ¼ inches. How far will the bicycle travel in 40 rotations of the tire? Round to the nearest tenth

Answers

Answer:

It should be 530 inches, so 44 feet.

Step-by-step explanation:

I am not 100% but I did 13.25 times 40.

it should be 530 inches so 44 feet

Find the value of x.
AS
7
х
D
3
B
'c
X=
V[?]
Enter

Answers

9514 1404 393

Answer:

  x = √70

Step-by-step explanation:

The triangles shown are all similar, so corresponding sides are proportional.

  hypotenuse/long side = x/7 = (7+3)/x

Cross-multiplying gives ...

  x^2 = 7(10)

  x = √70

_____

You will note that the value of x (the long side) is the geometric mean of the long segment and the whole hypotenuse.

A similar "geometric mean" relation holds for the short side:

  BC = √(CD·CA)

There is yet another "geometric mean" relation that holds for the altitude:

  BD = √(CD·AD)

You may see these again.

What do two equivalent expressions ALWAYS have in common?

A: The same value
B: The same variables
C: The same constant
D: Both have a equal

Answers

It’s c the same constant. Have a nice day!

Super easy. I just dont feel like adding it up.

What is the total monthly income for a person who works 12 hours a week, earning a net pay of $9 per hour. And they also receive $15 each week from their parents.

What is his total income for the month?

Answers

Answer:

Step-by-step explanation:

lets assume that the month has 4 weeks

12h/week with 9 dollars/hour

week=12*9=108

108+15=123

123*4 weeks=492 dollars month total income

Answer:

492

Step-by-step explanation:

9*12=108. I used January for this. there 4 weeks in it. so !08*4+15*4=492

wore
Jackie buys 5kg of flour.
She is making pizzas that each need 300g
of flour.
What is the maximum number of pizzas
that Jackie can make?
How much flour will Jackie have left?
Can you give me the answer

Answers

“kilo-“ means “thousand.” A kilogram is 1,000 grams.
5 kg = 5,000 g
5,000 g × (1 pizza)/(300 g) = 5,000/300 pizzas = 16⅓
16 pizzas

A bakery sold a total of 500 cupcakes in a day, and 83% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?

Answers

   Total number of vanila flavored cupcakes sold in a day by the bakery is 415.

Calculations to find the actual number from its percentage:Expression to be used,

        Number of flavored cupcakes = percentage of vanila flavored

                                   cupcakes × Total number of cupcakes sold in a day

Total number of cupcakes sold by the bakery = 500

Percentage of the cupcakes having vanilla flavor = 83%

Number of vanila flavored cupcakes = 83% of 500

                                                             = [tex]\frac{83}{100}\times 500[/tex]

                                                             = 415

      Therefore, number of vanila flavored cupcakes sold by the bakery will be 415.

Learn more about the percentage here,

https://brainly.com/question/21800651?referrer=searchResults

Maria must give her dog 3 ml of ear drops medicine once per day in one ear for 3 days. The bottle contains 2 oz of medication Express in milliliters how much of a medication will be left after the dogs treatment is complete round your final answer to two decimal points​

Answers

Answer:

Step-by-step explanation:

Sear's has a dishwasher that costs $679. It is on sale for 35% off - How much would you pay?

A.) $375.75
B.) $427.35
C.) $441.35
D.) $237.65

Answers

Kk Sksksk 92929 aka D
It’s D
just multiply .35 and 679!

5 kg equals how many grams

Answers

Answer:

5000

Step-by-step explanation:

Answer:

5000 thx!

Step-by-step explanation:

44. Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm). Because of variability in the manufacturing process, the diameters of the ball bearings are approximately normally distributed, with a standard deviation of 0.02 mm. (a) What proportion of ball bearings has a diameter more than 5.03 mm

Answers

Answer:

0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm

Step-by-step explanation:

When the distribution is normal, we use 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.

Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm).

This means that [tex]\mu = 5[/tex]

With a standard deviation of 0.02 mm.

This means that [tex]\sigma = 0.02[/tex]

(a) What proportion of ball bearings has a diameter more than 5.03 mm

This is 1 subtracted by the pvalue of Z when X = 5.03. So

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

[tex]Z = \frac{5.03 - 5}{0.02}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm

I don't know the answer​

Answers

Answer:

D

Step-by-step explanation:

Answer:

option d. 5cm,5cm,5cm

.........

3,668 > 13,667
Yes No
8,136 > 8,036
Yes No
5,937 = 5,397
Yes No
67,499 > 67,500
Yes No

Answers

Answer:

Step-by-step explanation:

3,668 > 13,667 No cuz 3,668 is not greater than 13,667

8,136 > 8,036 Yes 8,136 is greater than 8,036

5,937 = 5,397 No cuz 5,937 doesn't equal to 5, 397

67,499 > 67,500 No cuz 67,499 doesn't equal to 67,500

can i be brainiest

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