Answer:
Luis would need to have a SAT score of 574.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
Nicole's z-score:
ACT scores have a mean of about 21 with a standard deviation of about 5, which means that [tex]\mu = 21, \sigma = 5[/tex]
Nicole gets a score of 24, which means that [tex]X = 24[/tex]. Her z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 21}{5}[/tex]
[tex]Z = 0.6[/tex]
What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?
Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.
SAT scores have a mean of about 508 with a standard deviation of about 110, which means that [tex]\mu = 508, \sigma = 110[/tex].
The score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.6 = \frac{X - 508}{110}[/tex]
[tex]X - 508 = 0.6*110[/tex]
[tex]X = 574[/tex]
Luis would need to have a SAT score of 574.
I the radius of a circle is x cm ,what is the length of circufernece?
Answer:
44x/7
Step-by-step explanation:
Radius=r=xcm
Circumference=2πr
➜2πx
➜2×22/7×x
➜44/7×x
➜44x/7
I WILL GIVE BRAINLIEST IF YOU HELP
Find the area of the polygon below in square units.
Answer:
20 square units
Step-by-step explanation:
this polygon is a trapezoid
the formula to find the area is 1/2(b1+b2)h
If you were to rotate the image counterclockwise you would see that b1 = 6 untis and b 2 is 4 units and the height would be 4 units
when you plug that into the calculator you get
1/2(6+4)4 = 20 square units
find the effective rate corresponding
to the nominal rate. 4% compounded monthly
Answer:
4.07%
Step-by-step explanation:
To obtain the effective rate :
We use :
(1 + r/m)^m - 1
r = rate = 4% = 0.04
m = number of compounding times per year = 12
Effeective rate :
(1 + 0.04/12)^12 - 1
1.0407415 - 1
Effective rate = 0.0407415
0.0407415 * 100%
= 4.07%
please help me answer the question.ghvjhbikb
Answer:
240units^2
Step-by-step explanation:
The formula for area on a triangle is 1/2 x b x h, so you do 4 x 10 x 1/2, giving you 20, there are two of these triangles so you double it to 40.
Then for the rectangle below you do l x w, or 10 x 20 giving 200.
You then add it all together, 200+20+20=240 units squared.
Hope this helps!
In a circle, the length of an arc intercepted by a central angle is 12mm, and the radius of the circle is 8 mm. What is the measure, in radians, of the circle
Answer:
Step-by-step explanation:
S = 12mm
r = 8mm
What is the measure, in radians, of the circle or central angle?
The measure of a circle in radians is 2 radians. I think you want the central angle thata.
theta = S/r radians
theta = 12/8 radians
theta = 1.5 radians for the central angle
The measure in radians of the circle is 1.5π radians
What is central angle?The angle between two radii of a circle is known as the central angle of the circle.
given: S = 12 mm
r = 8 mm
circumference of a circle=2π radians
Since, 16π=2π radians.
1π= 2π /16
for,
12π =2π /16 *12
= 3/2*π
= 1.5π
[tex]\theta[/tex] = 1.5π radians
Learn more about this central angle here:
https://brainly.com/question/1335226
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Which of the following is a quantity that could be represented by the number 2 x 10-3?
Answer:
90
Step-by-step explanation:
I need help with aleks
Answer:
All angles are equal because all sided are equal so the 1st 1 is 60 .
the 2nd is 80
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
Use the sketching tool to help explain if you'd like.
The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.
Answer:
Step-by-step explanation:
The last statement is false.
∠BAF and ∠EAB are supplementary angles.
The two lines below are parallel. If the slope of the red line is 3, what is the slope of the green line?
Solve the equation
6.2=2.2+x
X=
Which is the graph of f(x) =
Determine if the following probability is experimental or theoretical.
Abbey threw 10 foul shots and made 6 of them. What is the probability Abbey will make her next shot?
A)Experimental
B)Theoretical
In this article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970s.
To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were:
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0(p1
In the hypothesis test about cannabis use by conservatives and liberals, the test statistic was z = -4.27, with a corresponding p-value of about 0.00001.
Which conclusion is most appropriate in the context of this situation?
Options :
Which conclusion is most appropriate in the context of this situation?
The data do not support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
The data support the claim that the proportion of conservatives who smoke cannabis is no different that the proportion for liberals.
The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
Answer:
The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
Step-by-step explanation:
Given the hypothesis :
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0
The test statistic = - 4.27
Pvalue = 0.00001
For making statistical decisions ;
Pvalue and α are very useful,
Decison boundary :
When Pvalue ≤ α ; We reject the Null (H0) otherwise, we fail to reject the Null.
However, based on the outcome of the statistical analysis,
The Pvalue < α ; Hence, we reject the Null and conclude that there is significant evidence support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
YO SOMEONE HELP MEEE
Answer:
x= -14
Step-by-step explanation:
Car = V-8 sedan
Years driven = first and second
Miles driven = 15.500 miles first year and 14,500 miles second year
The cost of depreciation will be $
Answer:
$500
Step-by-step explanatioThe numberber of years driven is the first and second year
= 2
Miles driven
First year= 15,500
Second year= 14,500
Therefore the cost of depreciation can be calculated as follows
15,500-14,500/2
= 1000/2
= 500
Hence the cost of depreciation is $500
The answer is: 2,318
First year on the graph: 8.5
Second year on the graph: 6.9
First year:
15,500 x 8.5 = 131,750
131,750/100 = 1,317.50
Second year:
14,500 x 6.9 = 100,050
100,050/100 = 1,000.50
1,317.50 + 1,000.50 = 2,318
How to find volume of cone?
Answer:
1/3[tex]\pi r[/tex]²[tex]h[/tex]
Step-by-step explanation:
Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
Which statement describes the behavior of the function f(x)= 3x/4-x
Answer:
-3
Step-by-step explanation:
i sarched it up
Work out the perimeter of this shape. Please help!
Answer: 138
Step-by-step explanation:
(65*2)=130
(4*2)=8
130+8=138
Answer:
2 (l+b )=2 (65+4)=2×69=128
Can anyone help me out here !
Completează casetele cu numărătorii potrivit pentru ca relațiile sa fie adevărate
Answer:
si
Step-by-step explanation:
ATCs are required to undergo periodic random drug testing.
A simple, low-cost urine test is used for initial screening. It has been reported that this particular test has a sensitivity and specificity of 0.96 and 0.93. This means that if there is drug use, the test will detect it 96% of the time. If there is no drug use, the test will be negative 93% of the time.
Based on historical results, the FAA reports that the probability of drug use at a given time is approximately 0.007 (this is called the prevalence of drug use).
Draw a probability tree for the situation. (Use this order for the tree: Drug Use(yes/no) -> Test Result(+/-) -> Joint Probabilites)
A positive test result puts the air traffic controller’s job in jeopardy. What is the probability of a positive test result?
Find the probability an air traffic control truly used drugs, given that the test is positive.
Answer:
The responsess to the given question can be defined as follows:
Step-by-step explanation:
[tex]P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\[/tex]
[tex]P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07[/tex]
As per the given info we draw the tree diagram which is defined in the attachment file.
[tex]P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )[/tex]
[tex]= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762[/tex]
[tex]P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}[/tex]
[tex]= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882[/tex]
Find the volume of the right cylinder in terms of pie.
[tex] \Large{\boxed{\sf V = 192\pi \: m^3}} [/tex]
[tex] \\ [/tex]
Explanation:The volume of a right cylinder can be calculated using the following formula:
[tex] \Large{\sf V = \pi \times r^2 \times h }[/tex]
Where:
V is the volume of the cylinder.r is the radius of the cylinder.h is its height.[tex] \\ [/tex]
[tex] \Large{\boxed{\sf Given \text{:} } \begin{cases} \sf r &=\sf 4 \: m \\ \sf h &=\sf 12 \: m \\ \end{cases} } [/tex]
[tex] \\ [/tex]
Substitute these values into our formula:
[tex] \sf V = \pi \times (4m)^2 \times 12m = \pi \times 16m^2 \times 12m \\ \\ \\ \implies \boxed{\boxed{\sf V = 192\pi \: m^3 }} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about the volume of a cylinder here:
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help asap pls! (Apply PEMDAS if needed)
Answer:
10
Step-by-step explanation:
You just plug x into the expression and then you simplify:
30-2^2*x+12÷3
We know that x=6
30-(2^2)(6)+12/3
30-(4)(6)+4
30-24+4
10
Pwease help this is very important I will give you brain thing if its correct ♡
Answer:
1. x-8
2. I dont know sorry
Step-by-step explanation:
Answer:
1. 8 - x
The answer is 8 - x because the plant is 8 inches tall total this week, and to get how many it grew you would subtract it's height last week from 8.
2. The other expression, x - 8, could show how much a plant wilted, if it did. If the height went down, subtracting 8 from x could show how much the plant wilted.
Step-by-step explanation:
:-) hope this helps!
What is 7,300,000 written in scientific notation?
Answer:
7300000 in scientific notation can be written as 7.3 x 10^6
does anyone know this
Answer:
YASSSSSSSS its c hope this helps
- Isabella<3
Step-by-step explanation:
A circle has a diameter of 8.2 m. What is the area of a sector with a 125 degree
arc? Round your answer to the nearest tenth. *
Answer:24.2 m
Step-by-step explanation: yea u gotta use the metric system
Solve 7x^2–20x = 3.
;
Answer:
x=3, -1/7
Step-by-step explanation:
7x^2-20x-3=0
Factor.
(x-3)(7x+1)=0
x-3=0 ⇒ x=3
7x+1=0 ⇒7x=-1 ⇒x= -1/7
Answer:
[tex]x = \frac{-1}{7}[/tex] or [tex]x = 3[/tex]
a) -4/5
b) -5/4
c) 4/5
d) 5/4
Answer:
d) 5/4
Step-by-step explanation:
The gradient is change in y over change in x
hope it makes sense
:)