Answer:
Rhoda, whose ACT has a z-score of 1, scored in the 84th percentile in the ACT, compared to Bill, whose SAT has a z-score of -2, who scored in the 2nd percentile on the SAT. Due to the higher percentile(higher z-score) on her test, Rhoda did better on her respective test than Bill, and thus, his logic is wrong.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Bill:
Scored 300, so [tex]X = 300[/tex]
SAT has a μ of 500 and a σ of 100.
His z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{300 - 500}{100}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.02.
This means that Bill, whose SAT score has Z = -2, scored in the 2nd percentile.
Rhoda
Scored 25, so [tex]X = 25[/tex].
ACT has a μ of 20 and a σ of 5
Her z-score:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 20}{5}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84
This means that Rhoda, whose ACT score has Z = 1, scored in the 84th percentile.
What is wrong with Bill’s logic ?
Rhoda, whose ACT has a z-score of 1, scored in the 84th percentile in the ACT, compared to Bill, whose SAT has a z-score of -2, who scored in the 2nd percentile on the SAT. Due to the higher percentile(higher z-score) on her test, Rhoda did better on her respective test than Bill, and thus, his logic is wrong.
The spread of a rumor in a town can be modeled as , where N is the number of people who have heard of the rumor, and t is time (in days). How long will it take until 2000 people know about the rumor?
Answer:
the time is 16 days
Step-by-step explanation:
The computation of the time period is given below:
N = 500 √t
2000 = 500 √t
√t = 4
Now do the square on both the sides
SO,
t = 16
Hence, the time is 16 days
We simply applied the above method to determine the time period
Evaluate C(8,2)
thank u!!!!
Step-by-step explanation:
Given in the question,
C(8,2)
Formula to use:
nCr = n! / r! * (n - r)!
here n = 8
r = 2
We have to calculate combinations of 8 object taken 2 at a time, then
C(8,2)
8C2
8! / 2! * (8 - 2)!
56/2
28
So, 8C2 = 28
Lena buys candy that costs $6 per pound. She will buy less than 8 pounds of candy. What are the possible amounts she will spend on candy?
Use c for the amount (in dollars) Lena will spend on candy.
Write your answer as an inequality, solved for c.
What is the inequality for this?!
HELP!
Answer:
$42
Step-by-step explanation:
less than 8 is supposed to be 7 or less 6×7=$42
Naeem bought a dirtbike. The original price
was $1,800, but he got a discount of 30%. What
was the discounted price of the dirtbike?
Answer:
$1,260
Step-by-step explanation:
30% off
pay 70%
70% = 0.7
1,800 * 0.7 = 1,260
$1,260
A puppy weighs534pounds.
How many ounces does the puppy weigh?
Answer:
I believe that the question is "A puppy weighs 5 3/4 pounds. How many ounces does the puppy weigh."
Step-by-step explanation:
The answer is 23 ounces.
Helpppppppp me plzzzzzzz
Answer:
Length of Line AC = 26 units
Step-by-step explanation:
Given:
Line AC = [3x + 1] + 8
Line BC = [x - 2] + 2
Find:
Length of Line AC
Computation:
Line AB ║ Line L
So,
Using Mid-Point theorem;
[3x + 1] / 8 = [x - 2] / 2
2[3x + 1] = 8[x - 2]
6x + 2 = 8x - 16
8x - 6x = 16 + 2
2x = 18
x = 9
So,
Line AC = [3x + 1] + 8
Line AC = [3(9) + 1] + 8
Line AC = [27 + 1] + 8
Line AC = 28 + 8
Length of Line AC = 26 units
if a news paper costs 25p how much would 3 weeks . if the the paper is puplished six days each week
The best i could find out is 450p
please help me with this !!
Answer:
m∠J = 32°
m∠G = 78°
Step-by-step explanation:
ΔHJI ≈ ΔGEF respectively means;
∠H ≅ ∠G
∠I ≅ ∠E
∠J ≅ ∠F
Therefore;
Since ∠F = 32°, then ∠J = 32°
Since ∠H = 78°, then ∠G = 78°
Hope this helps!
Of the men in the survey, what percent of them prefer movies? Write your answer as a percent and round to one decimal place.
Answer:
40%Step-by-step explanation:
There are 20 men and 8 of them prefer movies.
P = 8/20 = 0.4 = 40%Suppose that inches of wire costs cents.
At the same rate, how many inches of wire can be bought for cents?
Answer:
11 inches
Step-by-step explanation:
Given :
15 in of wire = 90 cents
At the same rate :
x inch of wire = 66 cents
Cross multiply :
90x = 15 * 66
90x = 990
x = 990 / 90
x = 11
11 inches of wire
A personnel psychologist studying adjustment to the job of new employees found a correlation of .3 between amount of education and rating by job supervisors 2 months later. The psychologist now plans to use the amount of education to predict supervisors’ later ratings. Indicate the independent/predictor variable, dependent/criterion variable, and beta. Write the Z-score prediction model; give the predicted Z-scores for supervisor ratings for employees with the amount of education Z-score of -1.5, -1, -.5
Answer:
the predictor variable is: amount of education
the criterion variable is: the Supervisors' rating
the beta is: .3
the Zy scores are -0.45, -0.3, 0.15
Step-by-step explanation:
r=beta which is the same; hence correlation equals regression
use this formula for the Z-scores
Zy= (beta) (Zx)
zy=(.3) (-1.5) = -0.45
(E) -1.5;
Zy=-0.45
(F)-1,
Zy=-0.3
(G)-.5.
Zy=-0.15
A survey was done on the number of people in eachcar leaving a Shopping
Centre. The results are summarised in the following table:
Number of People
in Each Car
Frequency
1
45
2
198
3
121
4
76
5
52
6
13
a. What is the Mode number of people in each car?
b. What is the Median number of people in each car?
c. What is the Mean number of people in each car? Give your answer to 1
decimal place.
Answer:
a) Mode number = 2
b) Median = 64.5 = 4 people in car as 0.5 in 64.5 is close to 76
= 4 people
c) Mean number is 505/6 = 84.1666666667 then we see where 84.16 lies and see this lies with = 3 people
Step-by-step explanation:
45 is 1
198 is 2
121 is 3
76 is 4
52 is 5
13 is 6
Mode we look for the highest frequency and see 198 is the amount and 2 people in car is the subject, we give the subject and that is 2 people in car is the highest frequency and would be the mode.
Median is shown in the answer as we add up.
Mean we add up all frequency and divide by the amount of subjects = 6.
a) Mode number = 2
b) Median = 13, 45, 52, here 76, 121, 198 mid number between
= (76-52 )/ 2 + (52)= 24 /2 + (52) = 12 + 52 + 0.5 if even number
median = 64.5 in a cumulative graph though which is not asked here it would be exactly half of 505 = 257.5 and interquartile we half again and add on 257.5 and show the range values interquartile as 1/2(252.5) and 1/2(252.5+ 505) = 126.25 as one value and 757.5 as the other by drawing a horizontal line from y axis to the points so vertical lines can represnt the cars median and interquartile.
c. Mean number is 505/6 = 84.1666666667 then we see where 84.16 lies and see this lies with 3 seats
For cumulative frequency we can relist numbers like this
45
45 +198 = 243
243 + 121 = 364
364+76 = 440
440 + 52 = 492
492+13 = 505 to plot graph.
But if there was group of measures or time etc then we would always plot the highest of each set for cumulative x axis and use the 2 values to see the ratio for histograms ie) 198/2 = 99 so that all values are read in equal proportions and 2 is a data below the graph not on the graph as 2 does not show as a box count just a name below on x axis. So we have to use the ratio as explained for histograms.
Solve 7/w+4 =5/w+4-6/w
Answer:
w=-1+[tex]\sqrt{2}[/tex], w=-1-[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Please Answer Correctly - Will Give Branliest & Extra Points. (links or unidentified/wrong answers will be reported and auto banned)
Answer:
Step-by-step explanation:
11 no
46+4x=90 degree(being perpendicular)
4x=90-46
x=44/4
x=11
12 no
They are complementary angles
6 no
angle B+27=180 degree(being straight line)
angle B=180-27
angle B=153
10 no
angle 38 +angle DFE=180 degree(being supplementary)
angle DFE=180-38
angle DFE=142 degree
5 no
They are vertically opposite angles.
7 no
angle AGF and angle CGD (because they have common arm and vertex)
Answer:
Solution given:
11.4x+46=90[being right angle]
4x=90-46
x=44/4
x=11
12.
Complementary angles
5.
vertical
6.
<ABD+27=180°[linear pair]
<ABD=180-27
<ABD=153° degree
10.
<DFE+38=180[being supplementary]
<DFE=180-38
<DFE=142 degrees.
7.
angle DGE and angle DGC
8.
<AGB and <AGE
Lynn is tracking the progress of her plant's growth. Currently the plant is 11 The plant grows 1.2 cm per day. Find an equation that represents the plant's height after any given number How tall is the plant after 9 days?
Answer:
the equation is 11+1.2d= h so the height after 9 days would be 21.8cm
Step-by-step explanation:
Answer:
f(h) = 11 + 1.2h
f(9) = 21.8 cm
Step-by-step explanation:
let 'h' = height
f(h) = 11 + 1.2h
height after 9 days:
f(9) = 11 + 1.2(9)
= 11 + 10.8
= 21.8 cm
A sample of 28 sales transactions at Costco shows a mean transaction time of 296 seconds with a standard deviation of 48 seconds. Costco is interested in finding out whether the mean transaction time is less than 310 seconds. Answer the following questions. a) Write down the null and alternative hypotheses. b) Find the test statistic and the critical value at 1% significance level. c) At 1% level of significance, what is your conclusion
Answer:
a) The null hypothesis is [tex]H_0: \mu = 310[/tex] and the alternative hypothesis is [tex]H_1: \mu < 310[/tex].
b) The test statistic is [tex]t = -1.54[/tex]. The critical value is [tex]t_c = -2.473[/tex].
c) The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.
Step-by-step explanation:
Question a:
Costco is interested in finding out whether the mean transaction time is less than 310 seconds.
At the null hypothesis, we test if the mean is of 310 seconds, that is:
[tex]H_0: \mu = 310[/tex]
At the alternative hypothesis, we test if the mean is of less than 310 seconds, that is:
[tex]H_1: \mu < 310[/tex]
b) Find the test statistic and the critical value at 1% significance level.
Test if the mean is less than a value, sample of 28, and standard deviation for the sample. Thus, we have a left-tailed t-test with 28 - 1 = 27 degrees of freedom and a 0.01 significance level, and the critical value is [tex]t_c = -2.473[/tex].
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation pf the sample and n is the size of the sample.
310 is tested at the null hypothesis:
This means that [tex]\mu = 310[/tex].
A sample of 28 sales transactions at Costco shows a mean transaction time of 296 seconds with a standard deviation of 48 seconds.
This means that [tex]n = 28, X = 296, s = 48[/tex].
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{296 - 310}{\frac{48}{\sqrt{28}}}[/tex]
[tex]t = -1.54[/tex]
The test statistic is [tex]t = -1.54[/tex].
c) At 1% level of significance, what is your conclusion
The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.
Jane and her friend Maria both invest in the stock market. The probability that Jane makes money in a given week is .6. The probability that Jane and Maria both make money in a given week is .48. What is the probability that Maria makes money in a given week if Jane also makes money in that same week
Answer:
.8
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that the probability that Jane makes money in a given week is .6 and the probability that Jane and Maria both make money in a given week is .48. Then the probability that Maria makes money in a given week...
Let the probability that Jane makes money in a given week be p(j) and that Maria makes money in a week be p(m) then
p(j) = .6 and
p(j) * p(m) = .48
.6 * p(m) = .48
p(m) = .48/.6
= .8
c and d for 20 pts
aaaaaaaaaaaaaaaaa
Answer:
C. a = 7
D. c = -3
Step-by-step explanation:
C. 7(2a + 3) + 21 = 100+ 40
14a + 21 + 21 = 140
14a = 140 - 21 - 21
14a = 98
a = 7
D. 6+ 14 - 12c = 56
20 - 12c = 56
-12c = 56 - 20
-12c = 36
c = - 3
Answer:
Step-by-step explanation:
c.7(2a+3)+21=100+40
14a+21+21=140
14a+42=140
14a=140-42
a=98/14
a=7
d.6+14-12c=56
20-12c=56
-12c=56-20
c=36/-12
c=-3
8;3;-2:-7:12 calculate the nth term
Answer:
45544554554554445455544
Step-by-step explanation:
Lana earns $7.95 per hour . How much does she earn in 8 ?
Answer:
$63.6
Step-by-step explanation:
$7.95=1 hr
$7.95×8=$63.6
FIND P VALUE A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 120 of the school's students, 30% of them plan to go into general practice. Find the P -value for a test of the school's claim.
Answer:
0.3128
Step-by-step explanation:
H0 : p ≤ 0.28
H0 : μ > 0.28
The test statistic :
(phat - p) ÷ √(pq / n)
q = 1 -p = 1 - 0.28 = 0.72
phat = 0.30
(0.30 -0.28) ÷ √((0.28*0.72) / 120)
0.02 ÷ 0.0409878
Test statistic = 0.48795
Using the Pvalue from test statistic calculator :
Pvalue(0.05, right tailed) = 0.3128
Need help with the answer??
Answer:
answer is optioc c
Step-by-step explanation:
area of circular pizza=pie*diameter
=1/4*pie*d^2
=3.14/4*100
=314/4
=78.5
area of square pizza=l^2
=9^2
=81
therefore square pizza is bigger in area than circular pizza.
Answer fast will give brainiest
Answer:
Step-by-step explanation:
1). If two right triangles are congruent by HL property of congruence,
Their corresponding sides will be congruent.
By this property,
x - 4 = y + 3
x - y = 7 -----(1)
x = 2y ------(2)
By substituting x = 2y in equation (1),
2y - y = 7
y = 7
From equation (1)
x - 7 = 7
x = 15
2). If both the right triangles are congruent by HL property of congruence,
Their height and and hypotenuse will be congruent.
y + x = x + 7
y = 7
y + 5 = 2y - x
y - 2y + 5 = -x
-y + 5 = -x
x = y - 5
By substituting y = 7 in the equation,
x = 7 - 5
x = 2
A triangle has dimensions 5, 9, and 12. A similar triangle is drawn with a scale
factor of 1.2. What are the dimensions of the new triangle?
The answer?
Answer:
i need more informatiion
Step-by-step explanation:
Someone need help guys :/ yeah me please help me
Answer:
Step-by-step explanation:
yes two triangles are congruent by SSS theorem (side Side Side)
How to find the equation of OB?
Answer:
Step-by-step explanation:
Since we are given the coordinates of A, and we know that another coordinate on segment OA is the origin, (0, 0), we can use that information in the slope formula to find the slope of segment OA:
[tex]m_{OA}=\frac{-3-0}{6-0}=-\frac{1}{2}[/tex]
Since segment OB is perpendicular to segment OA, then its slope is the opposite reciprocal of that of segment OA. Therefore, the slope of segment OB is 2. We will use that along with the coordinate of the origin to write the equation of OB in the slope-intercept form of a line:
y = mx + b where y = 0, x = 0, m = 2
0 = 2(0) + b so
b = 0 and the equation for the line is
y = 2x
Can someone help me
Answer:
y= (-6/5)x -2
Step-by-step explanation:
y=mx+b , where m is the slope, and b is the y -intercept
the y -intercept is where the line intersects the y-axis so b = -2
the slope m= y(rise) /x(run) = 6/-5 = -6/5 ( to find the slope you have to know how to get from any point on the line to another point on the same line; start at point (0,-2) go up 6(y-rise) and to the left 5(x-run) at point (-5,4))
y= (-6/5)x -2
Convert 10π/6 radians into degrees.
We know that ,
[tex]\pi rad = 180^o[/tex]
SOLUTION :Using Unitary Method ,
[tex]\implies 1 \ rad = \dfrac{180^o}{\pi } [/tex]
Therefore ,
[tex]\implies \dfrac{10\pi}{6} rad = \dfrac{10\pi}{6} * \dfrac{180^o}{\pi } [/tex]
[tex]= \boxed{\red{ 300^o }}[/tex]
Required answer !
What value is closest to the area of the damaged section?
Answer:
6.0 square feet
Step-by-step explanation:
6 ÷ 2 = 3(radius)
are of the damaged section = x
77/360 = x/3²π
=> x = 77 × 9π ÷ 360 = 6.0445 <= 6.0 square feet is the closest to this number
Answer for brainlest
Answer:
Step-by-step explanation:
angle 3 and angle 4 are co interior angles.so,
angle 3+angle 4=180 degree
sum of co interior angle is always 180 degree.
Answer: Angle 3 and 5 = 180° because consecutive angles formed by parallel lines are supplementary
Step-by-step explanation:
It should be noted that Angle 3 and 5 = 180° because consecutive angles formed by parallel lines are supplementary.
For example, if angle 3 is 60°, the value of angle 5 will be:
= 180° - 60°
= 120°