Answer:
0.9726 = 97.26% approximate probability that X is at most 30
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed 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.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).
This means that [tex]p = 0.11[/tex]
Random sample of 200 shafts
This means that [tex]n = 200[/tex]
Mean and Standard deviation:
[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]
(a) What is the (approximate) probability that X is at most 30
Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 22}{4.42}[/tex]
[tex]Z = 1.92[/tex]
[tex]Z = 1.92[/tex] has a pvalue of 0.9726.
0.9726 = 97.26% approximate probability that X is at most 30
Click on the picture.
Find the missing length
Triangle in each pair are similar.
4m = -32 solve for M
will give brainliest.
Answer:
m = -8
Step-by-step explanation:
have a nice day! :)
Answer:
From this quation:
4m = -32
We need to get m, so we can divide both sides by 4:
4m / 4 = -32 /4
m = -8
You can try to replace it to see if it's correct:
4 * 8 = -32
Grapes are priced at $2.25 per pound. Which of the following equations best represents the cost, c, of buying g, pounds of grapes?
a. c = 2.25g
b. c = g + 2.25
c. g = c + 2.25
d. g = 2.25c
Answer:
A- c=2.25g
Step-by-step explanation:
If you look at this problem, you will see that the only one that makes since is A. B is incorrect because its pounds and you are trying to find the total. C is incorrect because C stands for cost in the problem and we are trying to find the cost. D is the same explanation as C.
Which of the following expressions is equivalent to (3x - 2)(4x + 5) ?
A. 4x2 + 7x − 10
B. 4x2 + 10x − 7
C. 12x2 + 7x − 10
D. 12x2 + 23x − 10
PLEASE HELP ME!!!!!
Amelia is going to invest $90,000 and leave it in an account for 12 years. Assuming the interest is compounded monthly, what interest rate, , would be required in order for Amelia to end up with $144,000?
Answer:
3.92%
Step-by-step explanation:
What is the supplement of a 54° angle?
Answer:
126
Step-by-step explanation:
The supplement of 54° is the angle that when added to 54° forms a straight angle (180° ). So,
54 + x = 180
x = 126
Just give me 10 random dividing fraction equations with the answer will give brainliest!!
Answer:
Step-by-step explanation:
10 points and will be marked BRAINLIEST if the answer you give is correct!
Answer:
the one on the bottom and Lewis made one less of whatever Bryan made
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
bryan- 7x4=28
lewis- 6x4=24
28+24=52
Could someone help with this math question brainlest and points
Answer:
D. 40
Step-by-step explanation:
12/30 = 16/x
or 12/16 = 30/x
Answer:
wouldn't it be 40? I could be wrong
Find the quotient.
0.15)6.435
Answer:
42.9
Step-by-step explanation:
Remember your decimal rules when doing long division
ASAP PLS HELP MARKING BRAINLIEST WITH POINTS PLSSSS
PLS HELP! WILL GIVE BRAINLIEST!
A test is worth 60 points. Multiple choice questions are
worth 2 points, and
short-answer questions are worth 5 points. If the test has
15 questions, how
many multiple-choice questions are there?
A. m+ s = 60
B. m+ s = 15
C. m:s= 15
D. 2m + 5s = 15
Answer:
2m + 5s = 15
I hope it helps.
have a great day.
IT'S FOR MIDDLE SCHOOOLLL PLZZZ HELPPPP
Tyler’s brother works in a shoe store. Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?
Answer:
22.5 i think
Step-by-step explanation:
Answer: it is 22.5
Step-by-step explanation:
Find the area of the triangle.
Area=
(Simplify your answer)
Answer:
38.9?? or 40??
Step-by-step explanation:
you put the base and the height together then multiply it by 2
A fitness club charges a onetime $75 initiation fee plus $30 each month for a member to maintain her membership. Which equation below models the total cost, c, the club charges as a function of the number of months, m, that the individual has maintained her membership?
1) c = 75m + 30
2) c = 1/30m + 75
3) c = 30m + 75
4) c = 900 + 30m
Answer:
c = 30m + 75
Step-by-step explanation:
Because the 75 dollars is only one time you add that to the total. Because it is 30 dollars PER MONTH and m is the number of months you would multiply those two in order to know how much you would be paying!
Hope this helps!
Tony’s deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony deposit?
Write your equation AND solve.
Answer:
3. Tony's deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony deposit?
What is the answer to this?
Answer:
0 = 73
add 90 and 17 which equals 107 take 180 - 107 = 73
Find the total surface and each pyramid. Round to the sea
SHOW YOUR WORK!
Answer:
328 square inches
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
Lateral Area of Pyramid:
L = 1/2Pl
l = 15.9
P = 2(8.2) + 2(8.2) = 32.8
L = 1/2(32.8)(15.9) = 260.76
Surface Area:
SA = B + L
B = (8.2)(8.2) = 67.24
L = 1/2(32.8)(15.9) = 260.76
SA = 67.24 + 260.76 = 328
Find the measure of each angle. Assume the lines are parallel
m<2 =
m<3=
m<4=
m<5 =
m<6 =
m<7=
m<8=
Please please please help
Will give brainily
Answer:
angles 3 5 and 7 equal 113
angles 2 4 6 and 8 equal 67
Home Prices The median selling price of an existing home in the United States increased continuously over the period 2011–2013 at the rate of 8.5% per year from approximately $166,000 in 2011.27 Write down a formula that predicts the median selling price of an existing home t years after 2011. Use your model to estimate, to the nearest $1,000, the median selling price of an existing home in 2013 and 2015
Answer:
166,000(1 + 0.085)^t ; $195,000 ; $230,000
Step-by-step explanation:
Given that :
Rate of increase = 8.5% = 0.085 per year
Initial value ; price in 2011 (A) = $166,000
Formula to predict the median price t years after 2011 ;
At a continous rate :
Median price, P:
P = initial price (1 + rate)^t
P = 166,000(1 + 0.085)^t
t = time since 2011 ;
Median price of home in 2013:
t = 2013 - 2011 = 2
P = 166,000(1 + 0.085)^2
P = 166000(1.085)^2
P = 166000(1.177225)
P = 195419.35
P = $195,000 ( nearest $1000)
Median price of home in 2013:
t = 2015 - 2011 = 4
P = 166,000(1 + 0.085)^4
P = 166000(1.085)^4
P = 166000(1.385858700625)
P = 230052.54430375
P = $230,000 ( nearest $1000)
Martin has 5 cups of flour if he needs 1/4 cups of flour for one jumbo cookie how many jumbo cookies can he make?
A. 20
B. 5
C. 4
D. 24
Answer:
martin can make 20 jumbo cookies
Determine a set of 3 numbers that are divisible by
6 and 5
Answer:
30
60
90
120
180
210
240
hope it helped have a good day mate
help me, please!!!!!
Answer:
25 cm is the perimeter...........
Answer:
25 cm
Step-by-step explanation:
When you are told that any figure is regular it means all the sides have the same value.
A pentagon has 5 sides.
Each side is 5 cm.
The perimeter is the addition of all the sides.
To find it we just multiply
5*5= 25 cm
Hope it was helpful ;)
PLEASE HELP I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell and help on both if you can
Answer:130 85/288 ok check my explaination if its reasonable
Step-by-step explanation:
ok youre figuring out the volume right? base times height. 5x25 1/12=125 5/12. 125 5/12x 25 inches=260 85/144 /2=130 85/288. you have to divide it by 2 because i figured it out as a rectangle.
Write an equivalent expression for x + x + x
Answer:
x+2x is an equalent expression
Answer:
An equavalent expression is 3x+0
write an expression for the phase the difference of twice a number (n) and 3
Answer:
2n - 3
Step-by-step explanation:
twice a number means to multiply it by 2
difference of a number and 3 is a number being reduced by 3 so the 3 comes after the subtraction sign
EASY QUESTION DO NOT GUESS WILL LIST BRAINLIST PLS HELP MUCH APPRECIATED!
What is the slope of the line shown in the graph?
Answer:
-1/3
Step-by-step explanation:
slope = rise/run = -1/3
solve for the roots in simplest form by completing the square
x^2-12x+20=0
Answer:
x = 10 or x = 2
Step-by-step explanation:
Solve for x:
x^2 - 12 x + 20 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 20 from both sides:
x^2 - 12 x = -20
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 36 to both sides:
x^2 - 12 x + 36 = 16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 6)^2 = 16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 6 = 4 or x - 6 = -4
Hint: | Look at the first equation: Solve for x.
Add 6 to both sides:
x = 10 or x - 6 = -4
Hint: | Look at the second equation: Solve for x.
Add 6 to both sides:
Answer: x = 10 or x = 2
Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test
Answer:
Option (4)
Step-by-step explanation:
Jordan spent 5 hours studying for 3 test with equal amount of time studying for each test.
On the number line, there are 3 small segments between each number.
Every small segment will represent time = [tex]\frac{1}{3}[/tex] hours
Total number of small segments = 15
If Jordan takes 3 equal durations for the study of each test,
Total number of small segments for each test = [tex]\frac{15}{3}=5[/tex]
Now we can plot these points on the number line.
Further count the segments for the answer ( 1 hour plus 2 small segments)
= 1 + [tex]2\times \frac{1}{3}[/tex]
= [tex]1\frac{2}{3}[/tex]
Therefore, time given for studying each test = [tex]1\frac{2}{3}[/tex] hours
Option (4) will be the answer.
Write the equation of a line in Slope-Intercept Form that has a slope of -3 and a y-intercept of 8.
Answer:
y=-3x+8
Step-by-step explanation:
Slope intercept is as follows: y=mx+b
m is the slope so replace the m with -3
y=-3x+b
b is the y intercept, so replace the b with 8 (keep in mind that had the y-intercept been negative, we would have subtracted)
This then gives you
Y=-3x+8