Answer:
The z-score for an ACT score of 26 is 0.17.
Step-by-step explanation:
Z-score:
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.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that [tex]\mu = 25, \sigma = 5.9[/tex]
Find the z-score for an ACT score of 26.
This is Z when X = 26. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26 - 25}{5.9}[/tex]
[tex]Z = 0.17[/tex]
The z-score for an ACT score of 26 is 0.17.
There are 16 members on Philip Track Team only 1/4 of them are participating in the 400 m relay how many team members are participating in the relay
Answer: 4 members
Step-by-step explanation: Good luck! :D
Answer:
4 members are participating
Step-by-step explanation:
Make the denominator equivalent to the amount of members
1/4 times 4
4/16
what fractions equal to 4/6 that is a multiplication sentence.
please help thanks
Solve the following inequality 5x+12+3x<36
Answer:
x<3
Step-by-step explanation:
5x+12+3x<36
First subtract 12 from both sides.
5x+3x<24
Next combine like terms on the left side (5x and 3x)
8x<24
Next divide 8 from both sides
x<3
. 80 = cm2 and a 5 height of 7.75 cm. Calculate the volume
Answer:
542.5
Step-by-step explanation:
Calculate the volume of a rectangular object by multiplying the length, width and height together. For example, if the length is 80 cm, the width is 7.75 cm, and the height is 7.5 cm, the volume is 80 x 2 x 7.5, or 7.75 cm^542.5
8x - 2
f(x) = 3x3 + 4x2
g(x) = 3x - 5
Find (f – g)(30)
Answer
P= 2L+2W
P=2(12) +2(7) =38
Step-by-step explanation:
The width of a rectangle is 5 meters less than its length. The area is 84 square meters. Find the dimensions of the rectangle and the perimeter of the rectangle.
First it helps to draw a picture so draw a rectangle
Remember that area of a rectangle =Length times width and the perimeter is P= 2 times the length plus 2 times the width
So A=LW and P=2L+2W
84= area
L=length
W= length -5
L(L-5)=84 distribute the L and you have L2 -5L=84 now subtract 84 from both sides and get L2 �5L-84 next factor to get (L+7)(L-12) next set both to =0 (L+7)=0 (L+12)=0 solve for L
L=-7 and L=12 you can�t have a negative length so -7 is out. So L=12 now plug in to the original area equation
84=LW 84= 12w now divide both sides by 12 to isolate W, this gives you W=7
L=12 and W= 7
For perimeter use 12 for the length and 7 for width Remember that P= 2L+2W
P=2(12) +2(7) =38
Which of the following fractions is written in its simplest form?
a. 11/121
b. 45/50
c. 14/35
d. 12/73
Please Help! This is due in 3 hours!
Answer:
Jayden: 9t+3s=420
Carson: 1t+6s=296
Step-by-step explanation:
I hope that helps =)
Dennis and Mark are playing a game with a number cube with numbers one through six the numbers they have rolled On the number cube are shown in the table below
Answer:No answer
Step-by-step explanation: There is nothing shown below sooooooooooooooo... u set urself upfor FAILURE
Danny flies a drone in a circular path around an object that is 210 feet west and 220 feet south of his position. The drone's path takes it over a point that is 160 feet east and 160 feet south of him. Find an equation for the drone's path. (Assume Danny is located at the origin, with the horizontal axis running east-west and the vertical axis running north-south)
Answer:
The answer is below
Step-by-step explanation:
A circle is the locus of a points such that its distance from a fixed point is always constant.
Since the drone moves in a circular path, therefore the path of the drone forms a circle. The equation of a circle is given by:
(x - h)² + (y - k)² = r²; where (h, k) is the center of the circle and r is the radius of the circle.
Danny is located at the origin. Since the drone flies in a circular path around an object that is 210 feet west and 220 feet south of his position. Hence the center of the circular path is (-210, -220).
Also, the drone's path takes it over a point that is 160 feet east and 160 feet south of him i.e. (160, -160). Therefore the radius of the circle is the distance between point (-210, -220) and point (160, -160)
[tex]radius=\sqrt{(160-(-210))^2+(-160-(-220))^2}=\sqrt{140500}[/tex]
Using (x - h)² + (y - k)² = r²:
[x - (-210)]² + [y - (-220)]² = (√140500)²
(x + 210)² + (y + 220)² = 140500
x² + 420x + 44100 + y² + 440y + 48400 = 140500
x² + y² + 420x + 440y - 48000 = 0
The RADIUS of the barrel is 4. What is the area of the barrel?
how do you decompose a parallelogram into two triangles
Answer:
Step-by-step explanation:
A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.
Jay jogs daily for exercise. he hits faster than 3.5 miles per hour every day. which inequality representd Jay's jogging speeds s?
Answer:
B
Step-by-step explanation:
The speed each day is faster than 3.5. Otherwise known as the mileage covered each day.
Find the value of x in the equation
X+2.37=5.94
Answer:
x = 3.57
Step-by-step explanation:
5.94 - 2.37 = 3.57
Hope this helped
Answer:
3.57
Step-by-step explanation:
Subtract 2.37 from both sides.
5.94 - 2.37 = 3.57
Help me Please!!!!!!
which one is it help ASAP
Answer:
The solution is (>)
Step-by-step explanation:
It can be said this is bigger because the number 7 is bigger than 6. The language is simple like this, for example we ignore the 2, the number 75 and 60 is clearly bigger than 75. It's the same as 2.75 with 2.6. So the number is 2.75 bigger than 2.6
What are the factors of polynomial function g?
g(x)= x3 + 2x^2 - x - 2
Answer:
g(x)= (x+2) (x+1) (x-1)
Step-by-step explanation:
write the equation of the line that passes through the pair of points (0,2 ) and (4,-1) in slope intercept form?
Answer:
y=[tex]\frac{3}{-4}[/tex]x+2
Step-by-step explanation:
Use equation M= [tex]\frac{y2-y1}{x2-x1}[/tex]
this will give you the slope of the line.
to get b which is the y intercept take the y intercept which is 2
A circle has a diameter of 62.8 cm. What is the length of this circle's radius?
Pls give me an actual answer
Answer:
Step-by-step explanation:
The diameter of the circle is the length of a line going through the middle from one side to the other.
The radius is the length of a line going from the middle of a cricle to the side.
So, the radius is half of the diameter.
62.8÷2=31.4
The radius is 31.4 cm.
Pls help me I’ll make brainliest
Answer:
$0.60
Step-by-step explanation:
just divide the 2 one
what half of 120?
60
60 cents
If y=5x-3and 3x-y=-1, what is the value of y?
A. 7
B. -1
C. 2
D. -8
what is 10000000000000000000067 x 334673854388 + 436747883 - 34521 =
Answer:
3.3467385e+33
3 (4a - 2) + 5 = 12a – 1
3 (4a - 2) + 5 = 12a – 1
is true
What is the perimeter of the following square in terms of yards, feet, and inches 35 in yards - feet + inches =
Answer:
there is no square
Step-by-step explanation:
7 cm
4 cm
8 cm
WHAT IS AREA of parallelogram?
Answer:
224cm squared
Step-by-step explanation:
The area of the parallelogram is 32 cm².
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
The area of a parallelogram is base x height.
We have,
Area of a parallelogram.
= base x height _____(A)
Now,
Base = 8 cm ____(1)
Height = 4 cm ____(2
Now,
Substitute (1) and (2) in (A).
Area = 8 x 4
Area = 32 cm²
Thus,
The area of the parallelogram is 32 cm².
Learn more about parallelograms here:
https://brainly.com/question/1563728
#SPJ2
write 3 x 7 x 7 x 7 x 7 as a index notation
Answer:
7^4 x 3
Step-by-step explanation:
Your internet service provider (ISP) charges a $55 installation fee and a fixed charge
per month for its service. The total cost for monthly service after 6 months is $455.
Write an equation for cost, C, after t months of service.
• C = 65t + 55
• C = 55.83t + 55
• C= 55t + 65
• C= 55t + 455
Answer:
C=65t+55
Step-by-step explanation:
I just took the quiz
The equation for cost, C, after t months of service is C= 55t + 65.
Important information:Your internet service provider (ISP) charges a $55 installation fee and a fixed charge per month for its service. The total cost for monthly service after 6 months is $455.
Equation:Here c means the cost, t means the number of months
So,
C = 55t + 65
Learn more about the equation here: https://brainly.com/question/3914382
Oceanside Bike Rental Shop charges a $15 flat fee plus $6 an hour for renting a bike. Dan paid $39 to rent a bike. Which equation can be used to find how many hours he rented the bike for?
a 15x + 39 = 6
b 39x + 6 = 15
c 6x + 15 = 39
d 15x + 6 = 39
e6x + 39 = 15
f 39x + 15 = 6
Answer:
c. 6x + 15 = 39
Step-by-step explanation:
hope this helps
write 3 x 7 x 7 x 7 x 7 as a index notation
Answer:
3 x 7 x 7 x 7 x 7
= 3 x [tex]7^{4}[/tex]
the ratio of boys to girls at space camp is 3:2 if there is a total of 60 campers,then how many of the campers are girls
Answer:
24
Step-by-step explanation:
3+2=5
5u-> 60
1u->12
2u-> 24
write the slope-intercept form of the equation of the line that passes through the point (-4,-1) and is parallel to the line y=3/4x-1
Answer:
Step-by-step explanation:
Parallel lines have same slope.
y= mx + b
Slope = m & b = y-intercept
y = 3/4 x - 1
m = 3/4 ; (-4 , -1)
y - y1 = m(x - x1)
[tex]y - [-1]=\frac{3}{4}(x -[-4])\\\\y + 1 = \frac{3}{4}(x+4)\\\\y +1 = \frac{3}{4}*x + 4*\frac{3}{4}\\\\y + 1 = \frac{3}{4}x+3\\\\y =\frac{3}{4}x+3-1\\\\y =\frac{3}{4}x+2[/tex]