Answer: x= 2 /9
Step-by-step explanation:
76% of 250 is what number?
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1117 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 21.9 and a standard deviation of 3.8. It is assumed that the two tests measure the same aptitude, but use different scales.
If a student gets an SAT score that is the 77-percentile, find the actual SAT score.
SAT score =
Round answer to a whole number.
What would be the equivalent ACT score for this student?
ACT score =
Round answer to 1 decimal place.
If a student gets an SAT score of 1544, find the equivalent ACT score.
ACT score =
Round answer to 1 decimal place.
Answer:
The actual SAT score is 1260.6.
The equivalent ACT score for this student(77th percentile) is 24.7.
The equivalent ACT score to a SAT score of 1544 is 30.26.
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.
SAT:
[tex]\mu = 1117, \sigma = 194[/tex]
ACT:
[tex]\mu = 21.9, \sigma = 3.8[/tex]
If a student gets an SAT score that is the 77-percentile, find the actual SAT score.
This is X when Z has a pvalue of 0.77. So X when Z = 0.74.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.74 = \frac{X - 1117}{194}[/tex]
[tex]X - 1117 = 0.74*194[/tex]
[tex]X = 1260.6[/tex]
The actual SAT score is 1260.6.
What would be the equivalent ACT score for this student?
X when Z = 0.74, using [tex]\mu = 21.9, \sigma = 3.8[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.74 = \frac{X - 21.9}{3.8}[/tex]
[tex]X - 21.9 = 0.74*3.8[/tex]
[tex]X = 24.7[/tex]
The equivalent ACT score for this student(77th percentile) is 24.7.
If a student gets an SAT score of 1544, find the equivalent ACT score.
First we find the z-score of the SAT, then we find the equivalent ACT score.
Z-score of SAT:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1544 - 1117}{194}[/tex]
[tex]Z = 2.2[/tex]
Equivalent ACT:
X when Z = 2.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.2 = \frac{X - 21.9}{3.8}[/tex]
[tex]X - 21.9 = 2.2*3.8[/tex]
[tex]X = 30.26[/tex]
The equivalent ACT score to a SAT score of 1544 is 30.26.
50% off on a $300 skateboard! There was a 6% tax. What is the new Total for the skateboard?
Answer:
$159
Step-by-step explanation:
Answer:
$159
Step-by-step explanation:
300 decrease 50% =
300 × (1 - 50%) = 300 × (1 - 0.5) = 150
150 increase 6% =
150 × (1 + 6%) = 150 × (1 + 0.06) = 159
I just feel like doing a challenge. Dont actually need help, so if you dont feel like answering, no problem. But what is 321 times 67. Don't use calculator, and first to get it right will get brainliest (:
Answer:
21507
Step-by-step explanation:
A factory uses a special kind of lubricant to maintain its two milling machines. Weekly lubricant usage for each machine is an independent random variable (zero correlation). The first machine has a mean usage of 50.6 gallons and standard deviation of 12 gallons. The second machine has a mean usage of 64.4 gallons and standard deviation of 16 gallons.
Suppose that at the beginning of the week, the factory has a total of 135 gallons of lubricant in stock. The factory will not receive any replenishment of lubricant from its supplier until the end of the week. Assume that the total lubricant usage (of the two machines combined) follows a normal distribution. What is the probability that the factory will run out of lubricant before the next replenishment arrives?
Answer:
0.1587 = 15.87% probability that the factory will run out of lubricant before the next replenishment arrives
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.
Addition of normal variables.
When we add two normal variables, the mean is the sum of the separate means, and the standard deviation is the square root of the sum of the variances. So
The first machine has a mean usage of 50.6 gallons and standard deviation of 12 gallons. The second machine has a mean usage of 64.4 gallons and standard deviation of 16 gallons.
Total consumption is of both machines, combined. So
[tex]\mu = 50.6 + 64.4 = 115[/tex]
[tex]\sigma = \sqrt{12^2 + 16^2} = 20[/tex]
What is the probability that the factory will run out of lubricant before the next replenishment arrives?
Probability of consuming more than 135 gallons, which is 1 subtracted by the pvalue of Z when X = 135. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{135 - 115}{20}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
1 - 0.8413 = 0.1587
0.1587 = 15.87% probability that the factory will run out of lubricant before the next replenishment arrives
Ground beef is on sale for $3.05 per pound. Gretel buys 80 ounces of ground beef. How much does she owe the butcher?
Answer:
15.25
convert to ounces- 80 ounces equals 5 pounds
multiply by the unit price-5*3.05
get the answer- 15.25
Answer:
Step-by-step explanation:
(3.05/lb)(80oz)(lb/16oz)=$15.25
ax + b2 = cx + d2
????
Answer:
x=b^2+d^2/a-c
Step-by-step explanation:
Simplify: 10 divided by 1/4
1) 40
2) 1/40
3) 2 and 1/2
4) 20
Answer:
1
Step-by-step explanation:
10*4=40
so 1
what is one sixth of the product of four and nine
Answer:
6
Step-by-step explanation:
The product of four and nine is 36.
If you make 1/6 into a decimal, then multiply it by 36 you get 6!
I hope this helps, and have a great day! :)
Answer:
6
Step-by-step explanation:
4*9=36
6/6=36
36*1/1*6
36/6
6
2. Jimmy is rolling a 1-6 number cube. Which statement is true? A Jimmy is equally likely to roll a 5 as an even number. B. Jimmy is equally likely to roll a 1 as an odd number. C Jimmy is more likely to roll a 6 than a 1. D Jimmy is equally likely to roll an even number as an odd number.
Answer:
It's D because I hope it helps pls like
Answer:
D Jimmy is equally likely to roll an even number as an odd number
50 POINTS AND BRAINLIEST
I need to know the steps for solving this. I know the answer is no solution but i don't understand the steps. Please help!!!
1/1+z+4/z+z^2 +1
1/2z =4/2z^2 +1
1/2z=2(z^2+2)/2z^2
1/2z=z^4+2z^2
z^5/2+2z^2
=therefore it has no solution I think this is the stes i m not sure sorry i m not sure ,try asking somebody else to cuz i m not sure
The police in a certain city are investigating whether the proportion of minor traffic accidents is greater on Friday nights than on Sunday nights. As part of the investigation, they select a random
sample of police calls from Friday nights and a random sample of police calls from Sunday nights. From both samples, they record the sample proportion of calls that involved minor traffic
accidents. Let Pp represent the proportion of all Friday night calls, and let Ps represent the proportion of all Sunday night calls. Which of the following are the correct hypotheses for the
investigation
Answer:
D:
Null: Pf = Ps
Alternative: Pf > Ps
Step-by-step explanation:
Hypothesis test is the test which uses the random sample data to evaluate that whether the null hypothesis to reject or accept.The null and alternate hypothesis for the given question is,
[tex]H_0:P_f=P_s[/tex]
[tex]H_a:P_f>P_s[/tex]
Hence the option D is the correct option.
Given-[tex]P_p[/tex] represent the proportion of all Friday night calls.
[tex]P_s[/tex] represent the proportion of all Sunday night calls.
What is hypothesis?Hypothesis test is the test which uses the random sample data to evaluate that whether the null hypothesis to reject or accept.
As part of investigation the police taken the random sample of the Friday night and the Saturday night phone calls.
Null hypothesis [tex](H_0)[/tex] states that the parameter of two proportion are are equal to the hypothesis value. If the proportion of all Friday night calls and proportion of all Sunday night calls is equal. Then the Null hypothesis for the investigation is,
[tex]H_0:P_f=P_s[/tex]
The alternate hypothesis states that the population parameter is smaller greater or must be different than the hypothesis value.The alternate hypothesis for the given question,
[tex]H_a:P_f>P_s[/tex]
Thus the null and alternate hypothesis for the given quyestion is,
[tex]H_0:P_f=P_s[/tex]
[tex]H_a:P_f>P_s[/tex]
Hence the option D is the correct option.
Learn more about the hypothesis here;
https://brainly.com/question/2695653
In trapezul ABCD, AC apartine BD = {O}, BD = 35 cm, iar CO/OA=3/4. Calculati lungimile segmentelor OA si OB
Answer:
We have been attempting to reach you about your car's extended warranty.
Step-by-step explanation:
WILL GIVE BRAINLIEST!
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5? (5 points)
A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm.
Group of answer choices
Perimeter = 54 cm, area = 181.25 cm2
Perimeter = 54 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 181.25 cm2
Answer:
Perimeter 182 cm, area= 2,028 cm2
Step-by-step explanation:
The perimeter of the given rectangle is
2(6 cm + 8 cm) = 28 cm
The area of the given rectangle is
(6 cm)*(8 cm) = 48 cm^2
The larger rectangle will have a perimeter of
6.5*28 cm = 182 cm
The larger rectangle will have an area of
6.5^2*48 cm^2 = 2028 cm^2 . . . . . note the scale factor is squared for area
The appropriate choice is the 3rd one, ...
Perimeter = 182 cm, area = 2,028 cm^2
Answer: Perimeter = 182 cm, area = 2,028 cm2 3rd one
Step-by-step explanation:
Write the rate as a fraction in lowest terms.
22 cups for 6 people
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
6/22 = 3/11
Juan read 15 books in 9 months. How many books did he read in 24 months? And how many months did it take him to read 5 books?
Answer:
40 books and 3 months
Step-by-step explanation:
b= books
15b=9months
1 month =15/9=5/3
24 months =24×5/3
24 months =8×5=40 books
1b=9/15
1b=3/5
5b =3/5×5
5b=3
it would take him 3 months to read 5 books
What is the perimeter of the L-shape?
Answer:
There isn't anything i can do when there isn't even a graph or a picture showing what it even looks like so I can't help you maybe re-post it with a picture then i can help.
Factor the expression -18y-27
Answer:
-9(2y+3) Tip: Download photo math lol : )
this is kirtys recipe for breakfast cereal 50 grams of oats 30 grams of raisins 40 grams of nuts if she uses 125 grams of oats, how many grams of
raisins does she need
The following stem-and-lead plot shows the One record attendance for original Charity Drive meetings what is the mode of these values?
A.)48
B.) 84
C.) 70
D.) 66
Answer:
CHOOSE A. 48
Step-by-step explanation:
Because its easy just do it.
5 x + 2 = 22
What is
Answer:
Step-by-step explanation:
5x + 2 = 22
Bringing like terms on one side
5x = 22 - 2
5x = 20
x = 20/5 = 4
(SAT Prep) Find the value of x.
Answer:
x = 65°Step-by-step explanation:
2x and 50° are supplementary angles
2x + 50° = 180°2x = 130°x = 130°/2x = 65°Answer:
65
Step-by-step explanation:
2x+2x=4x
4x+50+50=360
4x+100=360
4x=260
x=65
We are given a table that displays the current value of information technology giant, Cisco Inc. Using the table below, determine the closing price of Cisco Systems stock the previous day. A 9-column table with 1 row. Column 1 is labeled 52-week high with entry 15.34. Column 2 is labeled 52-week low with entry 14.88. Column 3 is labeled stock with entry C S C O. Column 4 is labeled Dividend with entry 0.15. Column 5 is labeled yield percentage with entry 0.997. Column 6 is labeled P E with entry 11.97. Column 7 is labeled Volume 100 s with entry 563,063. Column 8 is labeled close with entry 15.04. Column 9 is labeled net change with entry negative 0.02. a. $14.86 c. $15.06 b. $14.90 d. $15.04
Answer:
$15.06 answer C
Step-by-step explanation:
The previous day's closing price of Cisco Systems stock was $15.06. The correct option is c.
The closing price of Cisco Systems stock the previous day was $15.06.
We can see from the table that the "close" price listed in column 8 is $15.04 and the "net change" listed in column 9 is negative 0.02. This means that the stock price decreased by $0.02 from the previous day's closing price.
To find the previous day's closing price, we need to add the net change of -$0.02 to the current day's closing price of $15.04:
$15.04 + (-$0.02) = $15.02
Thus, the correct option is c.
For more details regarding closing price, visit:
https://brainly.com/question/3953674
#SPJ7
The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it is known that parabola opens upward.
Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as: [tex]A_{t}=\frac{b.h}{2}[/tex].
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is
[tex]10=\frac{5.a}{2}[/tex]
5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.
Answer: a = 2/3
Step-by-step explanation:
y-intercept: y=a(2)(-3) = -6a
x-intercepts: (-2,0) , (3,0)
height = -6a
base = 5
Area = 10 = 0.5 x 5 x -6a
10 = -15 a
a = -2/3
BUT a>0 since it opens upwards, so:
a = 2/3
A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 46 miles an hour for 24 hours. At the end of the 24 hours, how far has the car traveled
find the 3 points ........
Answer:
(0,-7)
(4, -4)
(8, -1)
Step-by-step explanation:
(0,-7)
(4, -4)
(8, -1)
Hope I helped!
Our department store is having a sale on personal computers, of which three are in stock (no rain checks). There is a certain probability of selling none. The probability of selling one is twice as great as the probability of selling none. The probability of selling two is three times the probability of selling none. Finally, the probability of selling all the personal computers is four times as great as the probability of selling none. Finally, the probability of selling all the personal computers is four times as great the probability of selling none. In a table list the outcomes and their probabilities.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Let the possibility including its sale will be x
Purchases possibility for [tex]1=2x[/tex]
Purchases possibility for [tex]2=3x[/tex]
Purchases possibility for [tex]3= 4x[/tex]
Calculating the total possibility [tex]=x+2x+3x+4x=10x[/tex]
The total possibility within the framework of the sample=1
[tex]\to 10x =1\\\\\to x = \frac{1}{10}\\\\\to x = 0.1 \\\\[/tex]
[tex]Outcome \ \ \ \ \ \ \ \ \ \ Probability\\\\0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.1\\\\1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.2\\\\2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.3\\\\3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4\\[/tex]
A table is 2 feet wide it is 6 times as long it is wide
Answer:
Length = 12 feet
Perimeter = 28 feet
Area = 24ft²
Step-by-step explanation:
You didn't ask a question so I don't know what the answer you want is so I assumed it was related to one of the answers shown above.
To calculate the length, you simply do 6*2
which is equal to 12.
The length is 12 feet.
However, if you want to find the perimeter:
12 + 12 + 2+ 2 = 28ft
If you wanted to find the area:
12*2 = 24ft²
I hope this helps!
Starting at 6 a.m. every morning, Matilda receives text messages on her cell phone from her mother, her best friend, and her brother according to three independent Poisson processes. Her mother texts Matilda on average once every hour. Her best friend sends a message once every 10 minutes, and she receives messages from her brother every 30 minutes.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Answer:
a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
b) [tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
Step-by-step explanation:
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
Two from the best friend:
Her best friend sends a message once every 10 minutes.
From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is [tex]\mu = \frac{90}{10} = 9[/tex]
Two messages is P(X = 2). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050[/tex]
Two from the mother:
Message every hour = 60 minutes. So [tex]\mu = \frac{90}{60} = 1.5[/tex]. This is P(X = 2).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510[/tex]
Two of her best friend and two of her mother:
Independent events, so the probability of both happening is the multiplication of their separate probabilities.
[tex]p = 0.005*0.251 = 0.0013[/tex]
0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.
B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
In 3 hours, she is expected to receive:
3*60/10 = 18 messages from her best friend.
3*60/60 = 3 messages from her mother.
3*60/30 = 6 messages from her brother.
In total, 27 messages.
75% probability of a typo, so [tex]\mu = 0.75*27 = 20.25[/tex]
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}[/tex]
[tex]1.6 \times 10^{-9}[/tex] probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.
An illustration of a cell interacting with its environment is provided.
Call membrane
The illustration best represents which of the following?
Water moving into a cell by the process of osmosis
2 Ο Ο Ο Ο.
Passive transport of solute into the cell by diffusion
Active transport of solute into the cell using energy
Water leaving the cell by the process of osmosis
Answer:
the 1st one
Step-by-step explanation:
thank u and have a nice day and i hope this helped