Answer:
About 220 of the students scored less than 96
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.
Mean of 156 and a standard deviation of 23.
This means that [tex]\mu = 156, \sigma = 23[/tex]
Proportion that scored less than 96:
p-value of Z when X = 96. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{96 - 156}{23}[/tex]
[tex]Z = -2.61[/tex]
[tex]Z = -2.61[/tex] has a p-value of 0.00453.
About how many of the students scored less than 96?
0.00453 out of 48592.
0.00453*48592 = 220.1.
Rounding to the closest integer:
About 220 of the students scored less than 96
Answer:
220
Step-by-step explanation:
#platolivesmatter
Question 1 of 10
Which best describes the meaning of the statement "If A, then B?
A. If A is false, then B must be false.
B. If A is false, then B might be false.
ОО ОО
C. If A is true, then B might be true.
D. If A is true, then B must be true.
SUBMIT
Answer:
I believe it would be D
Step-by-step explanation:
Since it implies that if A is true, then B is true, it would be D.
"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.
Hence my choice of D.
Which angle measure is equivalent to the angle 17π/4
A. 45 degrees
B. 135 degrees
C. 230 degrees
D. 315 degrees
Answer:
A is correct
Step-by-step explanation:
17*180=3060
3060/4= 765
765-360=405-360=45
Nikki had swim practice 4 days this
week. She swam 425 yards Monday and
450 yards Tuesday. She swam 100 less
yards Wednesday than she did Tuesday.
If Nikki swam 1,600 yards in all, how
many yards did she swim on Thursday?
Nikki swam 375 yards on Thursday.
what is addition?One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.
Given
Nikki swam 375 yards on Thursday.
425+450+350= 1,225
1,600- 1,225= 375
To learn more about addition refer to:
https://brainly.com/question/4721701
#SPJ2
Which transformations will map the figure onto itself?
a. reflection across one of the lines of symmetry of the figure.
b. rotation of 180 degrees about the center of the figure.
c. translation of two units to the left and two units down.
d. rotation of 90 degrees about the center of the figure.
Answer:
a. reflection across one of the lines of symmetry of the figure.
Step-by-step explanation:
OLEASE HELP
Which number produces a rational number when added to 1/2
A. 5.38516480...
Β. π
c. √ 10
D. 0.22
Answer:
i donot know appp lado app
what is the answer (x + 3)2 – 5 = 0
x= -1/2 is the answer to your question. Mark as brainliest!!!!
How many arc degrees are in the minor arc?
- 32.5 degrees
- 65 degrees
- 115 degrees
- not here
Answer:
115°
Step-by-step explanation:
x =180-65=115°
------
Use OZ with VWXY
What is XY ?
A 30
B. 35
C. 40
D. 50
Answer:
Step-by-step explanation:
Chords having equal measures are equidistant from the center of the circle.
Since, VW = XY
Therefore, ZP = ZR = 15 units
A perpendicular line drawn from the center of a circle to the chord is the bisector of the chord.
VR = WR = 20 units
By applying Pythagoras theorem in ΔZRV,
ZV² = ZR² + VR²
ZV² = (15)² + (20)²
ZV = √(225 + 400)
ZV = √625
ZV = 25 units
Therefore, measure of radius ZV = 25 units.
VW = XY [Given]
Therefore, XY = 2(20)
= 40 units
Find the values of the variables
Answer:
[tex]x = 7[/tex]
[tex]y =16[/tex]
Step-by-step explanation:
Given
The attached image
Required
Find x and y
From the sign on each line, we have:
[tex]y - 4 = x + 5[/tex]
[tex]2x + 5 = x + 12[/tex]
Collect like terms
[tex]2x-x=12 - 5[/tex]
[tex]x = 7[/tex]
We have: [tex]y - 4 = x + 5[/tex]
Substitute [tex]x = 7[/tex]
[tex]y - 4 = 7+5[/tex]
[tex]y - 4 = 12[/tex]
So:
[tex]y = 12+4[/tex]
[tex]y =16[/tex]
Find the measure of angle x
Answer:
Angle x would be equal to the sum of its two opposite angle
x= 47 + 110
x= 157°
Please help me! It isn’t hard im just not sure how to do it .
Answer:
a. Semester 1: 86.8, Semester 2: 87
b. Semester 1: 5.7, Semester 2: 6.3
c. Semester 1 because the standard deviation of the first semester was lower than of the second. This shows that his scores were closer to the mean and therefore he was more consistent.
Step-by-step explanation: Find the mean by taking the sum of the values for each semester and divide that sum by the number of values to find the average. Do this for both semesters. Now, find the absolute value of the difference between the mean and each value of the corresponding data set. Square each if those differences and sum them up. Now divide that sum by the number of data values and take the square root. This number is your standard deviation. You will use the standard deviations to make the comparison for part c. I hope this makes sense and helps!!!!
Solve for x. Show your work.
Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to
Spend exactly $80. How many miles can he drive?
Answer: 0
Step-by-step explanation:
Answer:
500 miles
Step-by-step explanation:
20 + .12m = 80
.12m = 60
m = 60/.12
m = 500
-3x+15y=-30
-4x+5y=5
Answer:
(-5,-3)
Step-by-step explanation:
The answer is (-5,-3)
Pleaseeeeeeeeee helppppp
What number do the blocks represent?
Write your answer as a decimal.
Which number is an integer?
Answer:
0
Step-by-step explanation:
0 is an integer.
plz mark as brainliest
what is -9.25 as a faction
Answer:
-37 / 4
Step-by-step explanation:
Can someone tell me the answer
Answer:
-3
Step-by-step explanation:
(-6)/(+2)
-6/+2
-3
Answer:
C. -3
Step-by-step explanation:
If you have a negative and a positive number the outcome will always be negative. So you just simply take 6 and take half of it which is 3. if you divide something by 2 you are just splitting it in half.
cheryl wants to buy a bicycle that costs 160$. if she saves 12$ each week, what is the fewest number of weeks she must save in order to buy the bicycle?
please show the answer choices
Answer:
14 weeks.
Step-by-step explanation:
160/12= 13.8
13 weeks earns her $158
14 weeks earns her $160. So the fewest number of weeks she needs is 14.
PLS PLS PLS HELP I WILL MARK BRAINLIEST :)))
Answer:
28.3
Step-by-step explanation:
the formula for area is πr²
where π is 3.14
r is 3
area= 3.14 x 3²
area= 3.14 x 9
area= 28.28 approximately 28.3
please i need help fast with explantion
9514 1404 393
Answer:
60°
Step-by-step explanation:
You recognize the ratio of the long side to the short side as 2 : 1, so you know this is the 1 : √3 : 2 "special" triangle that has angles 30°, 60°, 90°. The angle of interest is opposite the longer side, so is the 60° angle.
x° = 60°
_____
In case you don't remember the "special" 30-60-90 and 45-45-90 right triangles, you can use the relevant trig function:
Cos = Adjacent/Hypotenuse
cos(x°) = 16/32 = 1/2
x° = arccos(1/2)
x° = 60°
What is the volume of this triangular pyramid?
5 yd
3 yd
3 yd
Answer:
45
Step-by-step explanation:
volume=length x width x height
5x3x3=45
Which equation represents a line which is parallel to the y-axis?
a) x= 1/4y
b) x= -7
c) y= 2
d) y= x
Answer:
b) x = -7
Step-by-step explanation:
x = -7 is a vertical line
vertical lines are parallel to the y axis
Please help me due today
Answer:
x = 88
Step-by-step explanation:
Becuase this is a quadrilateral, the opposite angles total 180 degrees. So, the opposite of x is 92. That would mean that x + 92 = 180. We subtract 92 from both non-variable sides to get the x by itself. 180 - 92 = 88. 92 - 92 = 0. this leaves us with X = 88
hope this helps
Figure A maps to figure B with a scale factor of 0.25
Answer:
x would be 6
Step-by-step explanation:
This is becuase since the scale factor from Fig A to B is 0.25, the length of all of the sides follows this rule.
Since x on Fig A and 1.5 on Fig B are corresponding sides, you can do:
x * 0.25 = 1.5
x * 0.25 (4) = 1.5 (4)
x * 1 =6
x = 6
9 weeks 2 days = ?
days?
Answer:
9weeks 2days = (9 × 7) + 2 = 63 +2=65 days
Step-by-step explanation:
Answer:
65 days
Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days
Write a equation that will represent the information.
Answer:
consider r to be x. and t to be y
[tex]consider : (0, 5) \: and \: (1, 3) \\ gradient = \frac{(3 - 5)}{(1 - 0)} \\ = - 2 \\ y = mx + c \\ consinder : (1, 3) \\ 3 = ( - 2 \times 1) + c \\ c = 5 \\ therefore : equation \: is \\ = > y + 2x - 5 = 0[/tex]
Given that A, O & B lie on a straight line segment, evaluate
x
.
Answer:
Step-by-step explanation:
It is the same way:
we know that
if A , O and B lie on a straight line segment
then
∡AOY+∡YOZ+∡ZOB=180°
so
3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°
the answer is
x=36°
please mark me as brainliest
Why are both of the answers to the last question correct?
the answer is : An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Answer:
An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Step-by-step explanation:
Answer:
An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Step-by-step explanation: