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
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
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.
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
Which of the phrases translated the numerical expression 4 x (9-5)? Need answer to both
Answer:
a
Step-by-step explanation:
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.
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
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 )
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.
PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
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.
(I'LL GIVE BRAINLIEST AND EXTRA POINTS IF YOU HELP!!!)
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
What is 9x for x = 4
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
y=3x + 4
What is the slope?
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.
Find the y-intercept of the folowing equation. Simplify your answer
19x + 8y=7
Answer:
y-intercept occurs when x = 0
19x + 8y=7
19*0 + 8y = 7
y -intercept = (0, 7/8)
Step-by-step explanation:
un automovil tiene ruedas de 80 cm de diametro el automovil avanca 10 metros en 5 segundos a velocidad constante
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.what is 882992+2899992237×2222÷29727
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.
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?
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
please some help me with this.
Please help with this I need to get my math done!
it rained 40% of the days during casey vacation .what fraction of the days it rain
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
The doctor had the opinion about the boy that it world
hare been better is he had velict
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.
please please help it’s due today
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?
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
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=
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?
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
PLEASEEE HRLPPPPPHELPPP PLEASEE :(((
Answer:
it's either the 1st choice or 4th
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
Answer:
i dunno
Step-by-step explanation:
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?
Answer:
180
Step-by-step explanation:
just add 174 to 3 +3 then ya will find ya andwer
find the sum of the series -10-5-0+......+75
What is 8x to the power of 3, divided by 2x to the power of 9?
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
Please help me due today by 3:00pm please help me
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
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?
1250/10=125
Hope this helps and have and AWESOME night!!! :)
Solve 4|x - 3| > 8.
O A. X25
O B. x< 1 and x2 5
O c. xs1 or x2 5
O D. XS1
Answer:
B
Step-by-step explanation:
4|x - 3| > 8=x< 1 and x2 5
i think
Please describe a situation where you would use Excel and please describe the growth mindset needed to learn and understand.
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").