Answers
Answer:
X ≥ 3 (D)
Step-by-step explanation:
I got it right on Khan Academy :)
Related Questions
What is the answer to this multiple choice algebra problem
Answers
Answer:
Step-by-step explanation:
C for sire thanks
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application)-rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The following data show the weight and price for 18 SA helmets.
W p
64 252
64 283
64 190
64 197
58 291
47 702
49 907
59 341
66 202
58 305
58 477
52 477
63 379
62 377
54 563
63 255
63 286
a. Develop a scatter diagram with weight as the independent variable.
b. Does there appear to be any relationship between these two variables?
There appears to be a - Select your answer -negativepositiveItem 2 linear relationship between the two variables. The heavier helmets tend to be less expensive.
c. Develop the estimated regression equation that could be used to predict the price given the weight.
The regression equation is (to 1 decimal and enter negative values as negative numbers). If your answer is zero enter "0".
Answers
Answer:
Step-by-step explanation:
Hello!
Given the variables
X₁: Weight of a safety helmet for racers
X₂: Price of a safety helmet for racers
Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.
a) Scatterplot in attachment.
b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.
c) The estimated regression equation is ^Yi= a + bXi
n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536
Y[bar]= 380.35; X[bar]= 59.29
[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18[/tex]
[tex]a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77[/tex]
The estimated regression equation for the price of the helmets as a function of their weight is:
^Yi= 2169.77 -30.18Xi
I hope it helps!
find the second term in the sequence b(1)=16 b(n)=b(n-1)+1
Answers
Answer:17
Step-by-step explanation:
b(1)=16
b(n)=b(n-1)+1
b(2)=16(2-1)+1
b(2)=16(1)+1
b(2)=16+1
b(2)=17
Tim is paid $100 per day and $25 per hour for over time. He did over time of 3 hours for 2 days and 4 hours for 3 days in a week. How much is Tim paid at the end of the week considering he worked for 6 days in a week?
Answers
Answer:
$1125
Step-by-step explanation:
100d + 25h = $$
100(3) + 100(3) + 25(3*3) + 25(3*4) =
300 + 300 + 225 + 300 =
1125
how do i factor the "common factor out of each expression?" ex:
12n^6 + 27n^2 - 18
whoever answers correct/ first ill give brainliest
Answers
Answer:
Step-by-step explanation:
A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.
Here we start with the expression 12n^6 + 27n^2 - 18. 'n' does not show up in every term and thus could not be a "common factor" of this expression. On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.
12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)
1) Identify the common factor (here it's 3)
2) Factor that out of the given expression: 3(4n^6 + 9n^2 - 6)
Please what is the length of AC? Please 1 day no answer.
Answers
Answer: AC = 2.33
Step-by-step explanation:
use tangent to find the missing side
Tangent = opposite/adjacent
tan B = ?/5
tan 25 = ?/5
multiply each side by 5
? = 2.33153829.....
so
AC = 2.33
Simon is building a ramp in the shape of a triangular prism. He plans to paint each face of the ramp. What is the total surface area of the ramp?
A triangular prism. The base has a length of 8 feet and height of 4 feet. A rectangular side has a base of 8 feet and height of 5 feet. Another rectangular side has a base of 8 feet and height of 3 feet. The triangular sides have a base of 4 feet and height of 3 feet.
68 square feet
96 square feet
108 square feet
114 square feet
Answers
Answer:
108 square feet
Step-by-step explanation:
When you say "triangular prism" it means the base is a triangle and the lateral faces are all rectangles. It doesn't matter which side is lying on the ground.
So, we see this is a triangular prism with a 3-4-5 right triangle as a base, and a "height" of 8 feet.
Its total surface area is the area of the two triangle bases plus the area of the three rectangular faces:
A = 2(1/2)(4·3) +8(3 +4 +5) = 12 +96 = 108 . . . . . square feet
Answer:
its C
Step-by-step explanation:
اذا كانت س زاويه حاده و كان جاس= ٣/٥ فان ظا س=؟؟
Answers
The correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. Suppose we use the height x of a child to predict the weight y of the child. We conclude that:
a. the least-squares regression line of y on x would have a slope of 0.8. about 80% of the time, age will accurately predict weight.
b. height is generally 80% of a child’s weight.
c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.
Answers
Answer:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
The value of r is always between [tex]-1 \leq r \leq 1[/tex]
And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:
[tex]r^2 = 0.8^2 = 0.64[/tex]
So then the best conclusion for this case would be:
c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.
Step-by-step explanation:
For this case we know that the correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. And we know that we use the height x of a child to predict the weight y of the child
We need to rememeber that the correlation is a measure of dispersion of the data and is given by this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
The value of r is always between [tex]-1 \leq r \leq 1[/tex]
And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:
[tex]r^2 = 0.8^2 = 0.64[/tex]
So then the best conclusion for this case would be:
c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.
The manufacturer of pencils spends $0.05 to make each pencil and sells them for
0.25. The manufacturer also has fixed costs each month of $2000. Find the cost function C when x pencils are manufactured.
Answers
Answer: C(x) = 2000+ 0.05 x
Step-by-step explanation:
Hi, to answer this question we simply have to apply the next formula:
Cost (C) = fixed cost + (cost per pencil x number of pencils)
Since:
Fixed cost: $2000
Cost per pencil : $0.05
Replacing with the values given:
C(x) = 2000+ 0.05 x
Where x is the number of pencils manufactured.
Feel free to ask for more if needed or if you did not understand something.
Find z1z2 if z1 = 3(cos37° + isin37°) and z2 = 2/3(cos53° + isin53°).
Answers
Answer:
[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]
Step-by-step explanation:
Both variable can be rewritten into polar form:
[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]
The complex product is equal to:
[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]
[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]
The resultant expression in rectangular form is:
[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]
Answer:
The correct question is:
Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].
(Note: the angles mentioned in the equations above are in degrees)
The answer is [tex]z_{1}.z_{2}= 2i[/tex]
Step-by-step explanation:
[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]
[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]
[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]
[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])
[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]
[tex]z_{1}.z_{2}= 2i[/tex]
8.73E16 in standard form
Answers
Answer:
87,300,000,000,000,000
Step-by-step explanation:
The E16 is a way to write ×10¹⁶ that is used by some computers, spreadsheets, and calculators. As with any decimal number, the exponent of 10 tells you the number of decimal places between the place with that value and the decimal point.
8.73E16 = 8.73×10¹⁶ = 87.3×10¹⁵ = 87.3 × 1,000,000,000,000,000
= 87,300,000,000,000,000
_____
Some places, the "standard form" is 8.73×10¹⁶.
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing.
Answers
Answer:
27
Step-by-step explanation:
Input 5 for all x-values.
If that is an equal sign...
1/9*(3^5)
With PEMDAS, exponents are done before multiplication.
1/9*243
= 27
FInd the permiter of a square with an area of 702.25 square yards
Answers
Answer:
The perimeter of the square is 106yd
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a square
a = area = 702.25yd²
s = side
a = s * s
we replace the values
702.25yd² = s * s
702.25yd² = s²
√(702.25yd²) = s
26.5yd = s
The side of the square is 26.5yd
Now we have to use the formula to calculate the perimeter of a square
p = perimeter
s = side = 26.5yd
p = 4 * s
we replace with the known values
p = 4 * 26.5yd
p = 106yd
The perimeter of the square is 106yd
Answer:106 yards
Step-by-step explanation:
Length=L
Area=702.5
Area of square=L x L
702.5=L X L
702.5=L^2
L=√(702.5)
L=26.50
perimeter of square=4 x L
Perimeter of square=4 x 26.50
Perimeter of square=106
Perimeter of square=106 yards
Which number line correctly shows 0.8 + 0.3?
Answers
Answer:
the second answer
Step-by-step explanation:
cause 0+0.8 is 0.8 and 0.8+0.3 is 1.1
Answer:
A
Step-by-step explanation:
During Ashland High School basketball games, the snack bar sells both cheese and pepperoni pizza slices. Last night, the snack bar sold 143 slices of pizza. They sold 10 times as many pepperoni slices as cheese slices.
How many slices of cheese pizza did the snack bar sell last night?
slices of cheese pizza
Answers
Answer:
13 slices of cheese pizza
Step-by-step explanation:
Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...
13 slices of cheese pizza were sold
Tia is planning a sailing party for her friends. The boat rental is $150 plus an
additional $15 per person. Tia has saved up $400 dollars. What is the
maximum number of people that can go sailing?
Identify the inequality to solve and the maximum number of people.
Answers
Answer:
16 people
Step-by-step explanation:
First subtract the cost of the rental from the amount of money:
$400-$150 = $250
Therefore Tia has $250 to spend for additional people. Then if each person is $15, divide the remaining amount of money by the amount of money per person:
$250/$15 = 16.67
Since you can't have 0.67 of a person she can have 16 people go with her.
This can also be modeled by this inequality:
[tex]150 + 15x \leqslant 400[/tex]
heeeeeeeeeeeeeeellllllllllllllllllllpppppppppp
Answers
Answer:
Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it
Step-by-step explanation:
Pls help with this one I will give brainliest thank you!
Answers
Answer:
B. 10 in.
Step-by-step explanation:
When you do length times width times height 10*10*10 equals 1000
10*10=100 and 100*10=1000
Answer:10 feet
Step-by-step explanation:
edge=[tex]\sqrt[3]{1000}[/tex]= 10 so the answer is B
The slope of the line between the points (3,-1) and (5, 1) is
Answers
Answer:
y = 0x + 1
When x=0, y = 1
Step-by-step explanation:
What is the length of a cube has a volume of 0.2l6 ft^3
Answers
Answer:
0.6 ft
Step-by-step explanation:
The volume is the cube of the edge length, so the edge length is the cube root of the volume.
∛(0.216 ft³) = 0.6 ft
The edge length is 0.6 ft.
if a punnet of strawberrier weighs 100g
how many punnets would weigh 1 kg
Answers
Answer:
10
Step-by-step explanation:
1 kg = 1000 g
1000/100=10
What is the estimated sum?
Round each number to the nearest hundred before adding.
521,370 + 26,839
A 548,100
B 548,200
C 548,000
D 547,000
Pls help
Answers
Answer:
B
Step-by-step explanation:
521,370 would round to 521,400
26,839 would round to 27,800
and adding them would be
548,200
Brainliest for anyone if they get this CORRECT.
Answers
hello
it is c
hehehehe hope it helps
Answer:
The option c. (x-6)(x-1)
Step-by-step explanation:
x^2 - 7x +6
S=-7
P=6
x^2-1x-6x+6
x(x-1)-6(x-1)
(x-6)(x-1)
A coin is tossed and a fourth section spinner is spun once a tree diagram shows the possible outcomes for the two events what is the probability of flipping tails on a coin and spinning a two on the spinner
Answers
Answer:
2/6 or 1/3 I think
Step-by-step explanation:
you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.
therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.
Someone please help me with math. Thank You
Answers
Answer:
4) 64 cubic inches
Step-by-step explanation:
8x8 = 64
2 Points
You and your friend enter a drawing with 3 different prizes. A total of 12
people entered the drawing, and prizes are awarded randomly.
There are 1320 ways to award the prizes.
What is the probability that you win first prize and your friend wins second
prize?
O A
B.
10
1320
O O O O
C.
12
1320
D.
1320
Answers
creo que la respuesta es D
Answer:10/1320
Step-by-step explanation:
Each hemisphere of isabels globe has a volume of 60,750 pie cm^3. What is the radius of her globe
Answers
Answer:
45cm
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Volume of an hemisphere = 1/2 of volume of a sphere
Volume of hemisphere = 1/2{4/3πr³}
Volume of hemisphere = 2/3πr³
Given
Volume of the hemisphere = 60,750πcm³
60,750π = 2/3πr³
π cancels out
60,750 = 2/3r³
Multiply both sides by 3
2r³ = 60,750×3
2r³=182,250
Divide both sides by 2
r³ = 91,125
Find the ∛ of 91,125 to eliminate the cube on r
r = ∛91,125
r = 45cm
Factor the expression. 35g2 - 2gh - 24h2
Answers
Answer:(7g-6h)(5g+4h)
Step-by-step explanation:
35g^2-2gh-24h^2
35g^2+28gh-30gh-24h^2
7g(5g+4h)-6h(5g+4h)
(7g-6h)(5g+4h)
Given f(x) = -4x + 7 and g(x) = x, choose
the expression for (fºg)(x).
Answers
Answer:
-4x^2+7x
Step-by-step explanation:
Multiply -4x+7 and x.
You get -4x^2+7x.
