Answer: F (x) = 5x^2 + 10
Randy took a standardized test that is normally distributed. He scored a 105 on the test. The nationwide mean score on the test was 94 and the standard deviation was 6.2. What percent of the tested population scored higher than Randy on the test? Round to the nearest whole percent.
Answer:
4% of the tested population scored higher than Randy on the test
Step-by-step explanation:
P(X>105) = normalcdf(105,1e99,94,6.2) = 0.0380155219 ≈ 0.038 ≈ 3.8% ≈ 4%
Therefore, about 4% of the tested population scored higher than Randy on the test.
Sharlene wraps a cylindrical package that has a height of 15 inches and
a radius of 3 inches. What is the package’s surface area? Use 3.14 for
Answer:
Surface Area = (2 • π • r²) + (2 • π • r • height)
Surface Area = 2 * 3.14 * 3*3 + 2 * 3.14 * 3 * 15
Surface Area = 56.52 + 282.60
Surface Area = 339.12
Formulas: http://www.1728.org/diamform.htm
Step-by-step explanation:
Please help me I need to pass this
Answer:
5
-7
36
Step-by-step explanation:
if the center is (5,-7) the first part must look like
(x-5)²+(y+7)²
to find the raidus plug in 5 for x and -1 for y
(5-5)²+(-1+7)²
0²+6²=36
36
Explain what circumference and area have in common
and how they are different.
Answer:
They both have pie in the formula
Step-by-step explanation:
Answer:
Circumference is the distance around a circle, or the perimeter. Area is the space inside the circle. Area has square units, circumference does not. They both have π in the formula.
HELP please!!!!!!!!!!!
Answer:
Step-by-step explanation:
the area of the parallelogram is 105 cm2. what is the base of the parallelogram?
Answer:
15 cm
Step-by-step explanation:
Since the area of a parallelogram is b * h = a,
105 = 7b
b = 105/7 = 15 cm
At which value in the domain does f(x) = 0?
2
2
4
Answer:
4
Step-by-step explanation:
How many solutions does the equation 2x -1 = x + x -1 have ?
Answer:
Infinite solutions
Step-by-step explanation:
2x -1 = x + x -1
2x=x+x
2x=2x
Use the graph to help you answer this question
4
6
Point A(2, 1) partitions OR in the ratio of 3 to 2. The coordinates of point Q are (-4,-5). What are the coordinates of point R?
(-2,-3)
0 (4,3)
(6,5)
(0-2)
Answer:
Coordinates of point R = (6,5)
Step-by-step explanation:
Given;
Point A(2 , 1)
Q(-4 , -5)
m1:m2 = 3 : 2
Find:
Coordinates of point R
Computation:
X = [(m1)(x2) + (m2)(x1)] / (m1 + m2)
2 = [(3)(x2) + (2)(-4)] / (3 + 2)
2 = [3x2 - 8] / (5)
10 = [3x2 - 8]
3x2 = 18
x2 = 6
Y = [(m1)(y2) + (m2)(y1)] / (m1 + m2)
1 = [(3)(y2) + (2)(-5)] / (3 + 2)
1 = [3x2 - 10] / (5)
5 = [3x2 - 10]
3y2 = 15
y2 = 5
Coordinates of point R = (6,5)
Use elimination to solve each system below.
System 1
2x + 3y = 6
- 2x - y = – 6
System 2
2x + 3y = 6
x + y = 4
Enter the values of x and y in the solution for each system in the following table.
value of x
value of y
System 1 1
System 2
Answer:
System 1 : {3,0}; System 2 : {6,-2}
Step-by-step explanation:
2x + 3y = 6
-2x - y = -6
2y = 0
y = 0
-2x = -6
x = 3
system 2
2x + 3y = 6
2x + 2y = 8
y = -2
2x -4 = 8
2x = 12
x = 6
Who cares about your credit history?
A:Credit card companies
B: Insurance companies
C: Banks
D: All of the above
Determine the equation of the circle graphed below
Answer:
(x + 3)² + (y - 4)² = 32
Step-by-step explanation:
Since we are given the coordinates of the centre and a point on the circle, we can use distance formula to find the radius.
r = √((1 - (-3))² + (8 - 4)²)
r = √(16 + 16)
r = √32
Now, formula for equation of a circle with centre (h, k) is;
(x - h)² + (y - k)² = r²
Our centre is (-3, 4) with r = √32
Thus;
(x - (-3))² + (y - 4)² = (√32)²
(x + 3)² + (y - 4)² = 32
My usual workout consists of running 10 laps around a 400 meter track. If I go to a track that is only 250 meters long, how many laps will I need to run to get the same workout?
100 POINT QUESTION!!!
Answer:
16 laps
Step-by-step explanation:
400x10=4000
4000÷250=16
PLS HELP WILL ONLY GIVE BRAINLY IF STEPS ARE INCLUDED
(2x-2)(2x-2)(2x-2)
Answer:
8^3−24^2+24−8
Step-by-step explanation:
If you search the equation up it tells you the answer is 8^3−24^2+24−8 and shows you the steps. (I’m sorry. I just didn’t have the patience to write out all the steps.)
Clarence saved 19% of the money he earned. If Clarence earned $90, how much did he save?
A regression of y = calcium content (g/L) on x = dissolved material (mg/cm2) was reported in the article "Use of Fly Ash or Silica Fume to Increase the Resistance of Concrete to Feed Acids" (Mag. Concrete Res., 1997: 337–344). The equation of the estimated regression line was y = 3.678 + .144x, with r2 = .860, based on n = 23.
a. Interpret the estimated slope .144 and the coefficient of determination .860.
b. Calculate a point estimate of the true average calcium content when the amount of dissolved material is 50 mg/cm2.
c. The value of total sum of squares was SST = 320.398. Calculate an estimate of the error standard deviation σ in the simple linear regression model.
Answer:
a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l
while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.
b) 10.878
c) S ≈ 1.99
Step-by-step explanation:
a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l
while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.
B) Point estimate of true average calcium content
Given that dissolved material = 50 mg/cm^2
= 3.678 + 0.144 * dissolved material
= 3.678 + 7.2 = 10.878
C) Determine an estimate of error standard deviation
Given that ; sum of squares ( SST ) = 320.398
COD ( r ) = 0.86
first; calculate the value of SSE = SST - SST ( r^2 )
SSE = 320.398 - 320.398 ( 0.86) ^2
= 83.43
Finally ; determine the estimate of error standard deviation
S^2 = SSE / n -2
= 83.43 / 23 - 2
∴ S ≈ 1.99
55 Find the missing angle
Answer:
what
Step-by-step explanation:
Answer this question pls I need it rn
Answer:
K = 84°
L ; M = 48 ; 48
Step-by-step explanation:
L = (5x + 18)
M = (3x + 30)
K = k
L + M + K = 180° (sum of angles in a triangle)
The two base angles are equal :
Hence ;
5x + 18 = 3x + 30
5x - 3x = 30 - 18
2x = 12
x = 6
Hence,
L = 5x + 18 = 5(6) + 18 = 30 + 18 = 48°
M = 3x + 30 = 3(6) + 30 = 48°
K = 180 - (48 + 48)
K = 180 - 96
K = 84°
r(x)=2[tex]\sqrt{x}[/tex] s(x)=[tex]\sqrt{x}[/tex] (rs)(4)=
Answer:
(rx)(4) = 8
Step-by-step explanation:
Given that,
[tex]r(x)=2\sqrt{x}[/tex]
and
[tex]s(x)=\sqrt{x}[/tex]
We need to find the value of (rs)(4).
[tex](rs)=2\sqrt x \times \sqrt x\\\\=2\times (\sqrt x)^2\\\\=2x[/tex]
[tex](rs)=2x\\\\=2\times 4\\\\=8[/tex]
So, the value of (rx)(4) is equal to 8.
Bob and Lashonda want to find the mean weight of cats at their local pet adoption center. So they each randomly select cats at the shelter and measure the weights.
The results are shown below (in pounds). Use the data to answer the questions.
Bob's sample:
15, 8, 20, 9, 12, 19
Lashonda's sample:
8, 6, 10, 11
(a) What is the sample size for Bob's sample?
(b) What is the sample size for Lashonda's sample?
(c) Suppose you had to choose one sample to estimate the mean.
Which sample is more likely to give a good estimate of the mean?
A: Bob's sample
B: Lashonda's sample
Why?
A: It has the smaller mean.
B: It has the larger mean.
C It has the smaller sample size.
D It has the larger sample size.
Answer:
(a): 6. (b): 4. (c). Bob's sample, as it has a larger sample size.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 6.4
Step-by-step explanation:
Albert was paid $85 for washing
a neighbor's car. This is one
!fourth of the amount of money
i he earned all summer. Write and
solve an equation to find the
total amount Albert earned
during the summer?
Answer:
$340
Step-by-step explanation:
85 x 4 = 340.
Because 85 = 1/4, 4/4 = 85 x 4 = 340
The management of a supermarket wants to find if there is a relationship between the number of times a specific product is promoted on the intercom system in the store and the number of units of that product sold. To experiment the management selected a product and promoted it on the intercom system for seven days. The following table gives the number of times this product was promoted each day and the number of units sold.
Number of Promotions per Day Number of Units Sold per Day (hundreds)
15 11
22 22
42 30
30 26
18 17
12 15
38 23
a) With the number of promotions as an independent variable and the number of units sold as the dependent variable determine the least squares regression line. Give the equation of the line.
b) Compute r and r2. Explain their meaning.
c) Predict the number of units of this product sold on a day with 35 promotions.
d) Construct a 98% confidence interval for \beta .
e) Test at the 1% significant level that \beta is \beta \neq 0.
Answer:
15 11
Step-by-step explanation:
Solve for x: 4x-8+34+76-x = 180
NO LINKS PLSSS
Answer:
x=26
Step-by-step explanation:
first add the numbers
4x-8+34+76-x=180
4x+102-x=108
Then combine like terms
4x+102-x=180
3x+102=180
Subtract 102 from both sides of the equation
3x+102=108
3x+102-102=108-102
Simplify
3x=78
Divide both sides of the equation by the same term
3x=78
3x/3=78/3
simplify
cancel terms that are in both the numerator and denominator, divide the numbers
Solution
X=26
I NEED HELP it's due today! Giving out BRAINLIEST & 30 POINTS!
~Rules~
a. SHOW WORK/CHECK ANSWER
b. NO FILES/LINKS
c. NO SILLY ANSWER
~Hocus Pocus
Answer:
see below
Step-by-step explanation: 5 20 21 02
There are 5 areas to calculate
Top = LW = (20)(17)
Bottom = LW = (20)(15)
Back = LW = (20)(8)
2 Triangular Ends = One square = LW = (8)(15)
Total Surface Area = (20)(17) + (20)(15) + (20)(8) + (8)(15)
= (20)(17 + 15 + 8) + (8)(15)
= (20)(40) + (8)(15)
= 800 + 120
= 920 ft²
9). Four friends earned $4.20 for washing a car. They decided to split the money equally. How much money did each friend get?
Answer:
1.05
Step-by-step explanation:
Answer: $1.05
Step-by-step explanation:
I think this answer is correct because, all we have to do here is divide 4.20 by 4 (because there is 4 friends and they each get an equal amount.) So 4.20 divided by 4 equals 1.05.
Hope This Helps!
A scalar pipeline has 4 pipeline stages A, B, C, D. An operand entering this pipeline must be processed by the four units A-> B -> C -> D. Suppose that units A, B , D takes 2 ns to process an operand, and unit C takes 3 ns to process an operand. How many ns does it take for this scalar pipeline to process 1000 independent operations?
Answer:
The answer is "3006 ns"
Step-by-step explanation:
The time is taken by [tex]a,b, D = 2\ ns[/tex]
taking time [tex]= 3 \ ns[/tex]
first taking time [tex]= 2\times 3+3= 6+3=9[/tex]
Calculating the Rest taking 3 ns to process
For 1000:
[tex]= 9+ 3\times 999\\\\= 9+2997\\\\=3006\ ns[/tex]
Can someone answer this please I don’t understand
Answer:
3x+2x+a=180 degree(being linear pair)
5x+25=180
5x=180-25
x=155/5
x=31
Step-by-step explanation:
9. When the sun makes an angle of o above the horizon, a building casts a shadow 17 feet long
What function models the height of the building?
How high is the building if 0 = 38°
(pic included) pls help me
Answer:
A. tan 38° = opposite/adjacent
opposite = (tan 38°)(adjacent)
opposite = (0.31)(17 ft)
opposite = 5.27 ft
B. height is = 5.27 ft
The models the height of the building is y = 17 tanθ and if θ=38° then the height is 13.28 feet
ModelA mathematical model is a linguistic and mathematical concepts-based description of a system. Mathematic modeling is the process of creating a mathematical model.
How to find the model?(A) Give the building and is shadow is 17 feet and make θ.
then the relation is tanθ =y/17
So y = 17 tanθ
(B) If the is angle is 38°
then
tan38° =y/17
0.7813 = y/17
y = 13.28 feet
Hence the model is tanθ and when the angle is 38° the value of y is 13.28 feet.
Learn more about the model here- brainly.com/question/24448358
#SPJ2.
Find the volume of the cone
Answer:
339.292
Step-by-step explanation:
Mark as brainliest