A teacher designs a test so a student who studies will pass 90% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 85% of the tests taken. On a given test, what is the probability that student passes?

Answers

Answer 1

Answer:

probability that student passes = 0.7815

Step-by-step explanation:

Given:

Student studies = 85% = 0.85

Student not study = 11% = 0.11

Student who pass = 90% = 0.90

Computation:

P(student not pass) = 1 - 0.85

P(student not pass) = 0.15

probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)

probability that student passes = (0.85)(0.90) + (0.15)(0.11)

probability that student passes = 0.765 + 0.0165

probability that student passes = 0.7815

Answer 2

Using the percentages given, it is found that there is a 0.7815 = 78.15% probability that student passes.

The percentages associated with passing the test are given by:

90% of 85%(student studies for the test).11% of 15%(student does not study for the test).

Hence, adding these percentages:

[tex]p = 0.9(0.85) + 0.11(0.15) = 0.7815[/tex]

0.7815 x 100% = 78.15%

There is a 0.7815 = 78.15% probability that student passes.

A similar problem, also involving the use of percentages, is given at https://brainly.com/question/25960993


Related Questions

Find the y-intercept of the folowing equation. Simplify your answer

19x + 8y=7​

Answers

Answer:

y-intercept occurs when x = 0

19x + 8y=7​

19*0 + 8y = 7

y -intercept = (0, 7/8)

Step-by-step explanation:

PLEASEEE HRLPPPPPHELPPP PLEASEE :(((

Answers

Answer:

it's either the 1st choice or 4th

y=3x + 4
What is the slope?​

Answers

Answer:

3

Step-by-step explanation:

In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.

So the slope is the 3 in front of the x value.

it rained 40% of the days during casey vacation .what fraction of the days it rain

Answers

2/5 of the days were rainy. 40% is equivalent to 40/100. By dividing both numerator and denominator by four, you get 10/25. Divide both numerator and denominator again by 5, you get 2/5. Hope I helped!

Please help with this I need to get my math done!

Answers

this answer would be A

What is 8x to the power of 3, divided by 2x to the power of 9?

Answers

Answer:

first we have divide

8x/2x their power going to sub 3-9

4xpower-6

we have to keep than 1/4power sign going to plus

1/4 power 6

what is 882992+2899992237×2222÷29727

Answers

Answer:

217648314.791

Step-by-step explanation:

Answer:

217648314.791

Step-by-step explanation:

Multiply first and then divide and then you add the numbers together.

Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of new words (words not used in the poet's other works). The standard deviation of the number of new words is . Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.
H0 : µ = 8.88 vs Ha : µ > 8.88
Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)
Use 2 decimal places for the z-score and 4 for the p-value.
a. What is z ?
b. The p-value is greater than ?
c. What is the conclusion?
a)The sonnets were written by another poet
b) There is not enough evidence to reject the null.

Answers

Complete question is;

Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of 8.88 new words (words not used in the poet's other works). The standard deviation of the number of new words is 3. Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of 12.4 words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.

H0 : µ = 8.88 vs Ha : µ > 8.88

Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)

Use 2 decimal places for the z-score and 4 for the p-value.

a.What is z ?

b.The p-value is greater than ?

c. What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.

Answer:

a) z = 2.87

b) P-value ≈ 0.0021

c) The sonnets were written by another poet

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0 : µ = 8.88

Alternative hypothesis; Ha : µ > 8.88

We are also given;

Sample size; n = 6

Population Standard deviation; σ = 3

Sample mean; x¯ = 12.4

a) formula for z - value is;

z = (x¯ - µ)/(σ/√n)

z = (12.4 - 8.88)/(3/√6)

z = 2.87

b) we are given the significance value as α = 0.05.

From online p-value from z-score calculator attached and using z = 2.87; one tail distribution; α = 0.05, we have;

P-value = 0.002052

Approximating to 4 decimal places;

P-value ≈ 0.0021

c) The p-value is less than the significance level, thus we react the null hypothesis and conclude that the sonnets were written by another poet

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PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!

Answers

Answer:

Y = x + 3

Step-by-step explanation:

The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.

Answer:

Y = x + 3

Step-by-step explanation:

The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.

The sum of three numbers is 14. The largest number is 4 times the smallest number. The sum of the smallest and twice the largest is 18. What are all three numbers?

Answers

Answer:

a = 2, b = 4, c = 8

Step-by-step explanation:

Let:

First (smallest) number = a

Second number = b

Third number(Largest) = c

The sum of three numbers is 14.

a + b + c = 14...... Equation 1

The largest number is 4 times the smallest number.

c = 4a.... Equation 2

The sum of the smallest and twice the largest is 18.

a + 2c = 18........ Equation 3

We substitute Equation 2 in Equation 3

to solve for a

a + 2(4a) = 18

a + 8a = 18

9a = 18

a = 18/9

a = 2

Hence, the smallest number = 2

We find c

c = 4a.... Equation 2

c = 4(2)

c = 8

The largest number is 8

We find b

a + b + c = 14...... Equation 1

2 + b + 8 = 14

b + 10 = 14

b = 14 - 10

b = 4

What are all three numbers?

a = 2, b = 4, c = 8

PLEASE HELP!!!!
The state of Texas did a random sample of the weight of 15 year old boys. The 10 boys they sampled had a total weight of 1250 pounds. What is the best guess (point estimate ) for the average weight of 15 yearold boys in Texas?

Answers

1250/10=125

Hope this helps and have and AWESOME night!!! :)

a recipe for cooking turkey says to allow 15 minute cooking for each pound of turkey and to add 5 minutes additional cooking time per pound if the turkey is stuffed. this turkey weighs 15 pounds and will be stuffed. after cooking, the turkey will need 1/2 hour wait time for cooling and carving. what is the independent and dependent

Answers

The doctor had the opinion about the boy that it world

hare been better is he had velict

Please help me due today by 3:00pm please help me

Answers

-3n+9 = 3n + 9
9 = 0n + 9
n = 0

Answer

n= 0

Explanation

- 3 (n - 3) = 3n + 9−3(−3)=3+9

−3+9=3+9

−3=3

-3n=3n−3n=3n

−3−3=3−3

−6=0

Grant walks 2 miles everyday. Which could not be the number of miles that Grant has walked after some number of days? Circle the letter of the correct answer.

Answers

He walk 4 miles a day

(I'LL GIVE BRAINLIEST AND EXTRA POINTS IF YOU HELP!!!)

Answers

Answer:

24/6048 = 252

Step-by-step explanation:

brainlest plz

and why does she have so many beads

Answer:

she said 24 only goes into 60 once, when in reality it can go in twice

un automovil tiene ruedas de 80 cm de diametro el automovil avanca 10 metros en 5 segundos a velocidad constante

Answers

No sé exactamente lo que está preguntando, pero espero que esto ayude-

Answer:

1000  centímetros = 10 metros por 5 segundos a velocidad constante

Step-by-step explanation:

1 centímetro = 0.01 metros

80 centímetro = 0.08 metros

Lo siento si esto no tiene sentido o no está traducido correctamente. Solo hablo inglés con fluidez, así que me disculpo si cometí un error. Espero que ayude.

Identifying Slope and Y-intercept (Word
Problems)
Alimousine service charges a $35 flat rate fee plus $2.50 per mile
if traveled. Identify the slope and y-intercept.
Identifying slope and y- intercept

Answers

Answer:

i dunno

Step-by-step explanation:

Let f be the function defined as follows.(a) Find the differential of f.dy =(b) Use your result from part (a) to find the approximate change in y if x changes from 2 to 1.97. (Round your answer to two decimal places.)dy =(c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.)Δy=

Answers

Heosbieose isohehrosbsf isishfos a siiddisiabsvaoaiabdodiab Keri

Priya and Joe travel the same 16.8 km route. Priya starts at 9.00 am and walks at a constant speed of 6 km/h Joe starts at 9.30 am and runs at a constant speed. Joe overtakes Priya at 10.20 am At what time does Joe finish the route?

Answers

Answer:

12:05 PM

Step-by-step explanation:

Priya started at 9:00 AM.

Speed of Priya = 6 km/hr

Joe started at 9:30 AM.

Time at which Joe overtakes Priya = 10:20 AM

Total time taken by Priya = 1 hour 20 min = [tex]\frac{4}{3}\ hr[/tex]

Total time taken by Joe = 50 min = [tex]\frac{5}{6}\ hr[/tex]

Distance traveled by Priya and Joe is same.

Formula for distance is:

[tex]Distance =Speed\times Time[/tex]

Distance covered by Priya = [tex]6 \times \frac{4}{3}[/tex] km

Let speed of Joe = [tex]S[/tex] km/h

Distance covered by Joe = [tex]S \times \frac{5}{6}[/tex]

[tex]S \times \dfrac{5}{6} = 6 \times \dfrac{4}{3}\\\Rightarrow S =\dfrac{48}{5}\ km/hr[/tex]

Total distance to be covered = 16.8 km

Total time to be taken by Joe =

[tex]\dfrac{16.8}{\frac{48}5} = \dfrac{16.8\times 5}{48} = \dfrac{84}{48} = 1.75\ hours[/tex]

1.75 hours mean 1 hour and 45 minutes.

Finishing time at which Joe finishes = 9:30 AM + 1 hour 45 minutes = 12:05 PM


Sine and Cosine of any angle will always give a number less than 1. Why? (*HINT* Think about fractions and how Sine is oppositehypotenuse and Cosine is adjacenthypotenus )

Answers

Answer:

Hope this helped!

Step-by-step explanation:

The most easiest way to understand this is by considering a simple right angled triangle:-

For any right angled triangle

sin(theta)=perpendicular/hypotenuse

cos(theta)=base/hypotenuse

Since hypotenuse is the largest side so neither sin nor cos could be larger than 1.

find the sum of the series -10-5-0+......+75​

Answers

Okay so the sum is basically higher numbers example.
The explanation

please some help me with this.​

Answers

X=14

every triangle equals 180 when adding all the angles together 72+36 = 108 So 180-108 = 72 (also note this is an isosceles triangle)

Now 72-16 = 56
56÷4 = 14

Solve 4|x - 3| > 8.
O A. X25
O B. x< 1 and x2 5
O c. xs1 or x2 5
O D. XS1​

Answers

Answer:

B

Step-by-step explanation:

4|x - 3| > 8=x< 1 and x2 5

i think

What is 9x for x = 4

Answers

Answer:

36

Step-by-step explanation:

9x is equal to 9 multiplied by x.

x=4 so it is 9 x 4

9 x 4=36

The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?

Answers

Answer:

180

Step-by-step explanation:

just add 174 to 3 +3 then ya will find ya andwer

please please help it’s due today

Answers

The slope is 3/2. The slope perpendicular to that would be -2/3

Which of the phrases translated the numerical expression 4 x (9-5)? Need answer to both

Answers

Answer:

a

Step-by-step explanation:

Number 5 is D. Subtraction uses key words like "difference" and it's multiplied by 4.

There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels? Enter your answer in reduced form.

Answers

Answer: 1:6

Step-by-step explanation:

Reduce each side of the ratio

Answer:

For every 1 squirrel there are 6 acorns

Step-by-step explanation:

u just divide 18 by 3

The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at one point (k+2,2k), what is the value of k?​

Answers

Answer:

The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at the point (k+2,2k)

Step-by-step explanation:

that should be right

The value of k is 2/3.

We have,

To determine the value of k, we need to find the equation of the line passing through the origin that is perpendicular to the line y + 2x = b.

The given line, y + 2x = b, can be rewritten in slope-intercept form

(y = mx + c) by solving for y:

y = -2x + b

Since the line passing through the origin is perpendicular to this line, its slope will be the negative reciprocal of the slope of the given line.

The given line has a slope of -2, so the perpendicular line will have a slope of 1/2.

Using the point-slope form (y - y1 = m(x - x1)) with the point (k + 2, 2k), we can write the equation of the perpendicular line passing through the origin as:

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

y = (1/2)x

To find the value of k, we equate the y-values of the two lines at the point of intersection:

(1/2)x = 2k

x = 4k

Since the x-coordinate of the point of intersection is k + 2, we can set it equal to 4k and solve for k:

k + 2 = 4k

2 = 3k

k = 2/3

Therefore,

The value of k is 2/3.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Please describe a situation where you would use Excel and please describe the growth mindset needed to learn and understand.

Answers

Try and think of the benefits of your situation and how you usually feel after doing something you lie

A growth mindset is an idea that people are born with certain characteristics and can't change. A growth mindset allows a person to believe they can change themselves, and that abilities and intelligence can be developed over time. A growth mindset helps you learn that mistakes are stepping stones and that you aren't defined as some characteristic (like "dumb").

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