Answer:
Randomization can be replaced by accurately matching the sample to the population
You should never replace Randomization, its important. Thats why this is false (I just took this quiz)
How many times do you need to divide by ten to get from 8950.1 to 0.89501
8950.1 / 10000 = 0.89501...
1000 x 10 = 10000, so you’ll need to divide 8950.1 1000 times!
how far will john travel if he drives for 2 and a half hours at 55mph?
Answer:
137.5 miles
Step-by-step explanation:
1. Do 55/2 to account for the half hour.(should equal 27.5)
2. Do 55 x 2 to account for the 2 hour drive.(should equal 110)
3. Add everything up. 110 + 27.5 = 137.5 miles
ANSWER
137.5kmi
EXPLANATION
The relation between speed , time and distance is given by the relation:
[tex]speed = \frac{distance}{time} [/tex]
Therefore
Distance= speed × time
John was traveling at a speed of 55mph
for 2 ½ hours.
The distance covered will be:
=55×2.5mi
=137.5mi
The graph of f(x) = is shown with g(x). Which equation represents the graph of g(x)? g(x) = g(x) = g(x) = + 1 g(x) = –1
Answer:
B
Step-by-step explanation:
An equation that represents the graph of g(x) include the following: B. [tex]g(x)=\sqrt[3]{x+2}[/tex].
How to determine the transformation (mapping) rule?In Mathematics, a translation is a type of transformation that shifts every point of a geometric object in the same direction on the cartesian coordinate, and for the same distance.
Based on the information provided in the diagram, we have the following:
(x, y) → (x + h, y + k)
(0, 0) → (-2, 0).
-2 = x + h
-2 = 0 + h
h = 0 - 2
h = -2 (2 units left)
0 = y + k
0 = 0 + k
k = 0.
In conclusion, a horizontal translation of 2 units to the left would map the parent cubic function f(x) to the transformed cubic function g(x);
g(x) = f(x + 2)
[tex]g(x)=\sqrt[3]{x+2}[/tex]
Read more on translation here: brainly.com/question/31559256
#SPJ2
Complete Question:
The graph of [tex]f(x) =\sqrt[3]{x}[/tex] is shown with g(x). Which equation represents the graph of g(x)?
[tex]g(x)=\sqrt[3]{x-2} \\\\g(x)=\sqrt[3]{x+2} \\\\g(x)=\sqrt[3]{x} +1\\\\g(x)=\sqrt[3]{x} -1[/tex]
Given: m∠EYL=72° Find: m EHL , m LVE .
Answer:
m(ARC)EHL: 108°
m(ARC)LVE: 252°
Step-by-step explanation:
Hey, so initially, we should start off with some stuff:
The sum of the arcs add up to 360°
m∠EYL=72°
We can create a system and use substitution to find the measure of an arc we don't know.
Step 1: We can use the 'Secants exterior angle theorem' to help us find the measure of (ARC)EHL.
<EYL=1/2((ARC)EVL-[ARC]EHL) (the theorem)
Step 2: By using substitution, we can say that (ARC)EVL=360°-(ARC)EHL
Thus, when we substitute it back into the theorem, the answer will be <EYL=1/2((360°-(ARC)EHL)-(ARC)EHL)=72°
Step 3: When we solve this out (and you can replace (ARC)EHL with x when solving), you will get an answer of x=108° or (ARC)EHL=108°.
Step 4: (ARC)LVE will be equal to 360°-m(ARC)EHL, which, when we substitute, will be 360°-108°, which will come out to be 252°.
Therefore, by algebra, substitution, and part-whole-postulate, (ARC) LVE=252°.
This is right, this was one of my problems for my 8th grade RSM online homework :)
Express 29 out of 40 as a percentage.
Also, express 126 out of 200 as a percentage.
Plz help!
29 out of 40 as a percentage is simply 29 divided by 40 (29/40): 0.725 = 72.5%
126 out of 200 as a percentage is the same process = 63%
Hope this helps!! :)
29 out of 40 as a percentage
126 out of 200 as a percentage is 63%
Express 29 out of 40 as a percentage.A percentage is defined as the ratio that can be expressed as a fraction of 100.
To express 29 out of 40 as a percentage:
(29/40) * 100 = 72.5%
Thus, 29 out of 40 as a percentage is 72.5%.
To express 126 out of 200 as a percentage:
(126/200) * 100 = 63%
Thus, 126 out of 200 as a percentage is 63%.
Learn more about percentage on:
brainly.com/question/843074
#SPJ6
I have to get this problem done and it is due tomorrow
Answer:
SPED
Step-by-step explanation:
STEP 1. YOU GOT THAT COVERED
STEP 2. GOOGLE SPED CAUSE YOU PROLLY DONT EVEN KNOW WHAT THAT IS
PLS ANSWER ASAP LOTS OF POINTS!!
Which red triangle shows a 90° counterclockwise rotation of the blue triangle? Check all that apply.
The red triangles that show a 90° counterclockwise rotation of the blue triangle are in options 1, 2, and 5.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. ΔABC denotes a triangle with vertices A, B, and C.
The red triangles that show a 90° counterclockwise rotation of the blue triangle are in options 1, 2, and 5.
Learn more about Triangle:
https://brainly.com/question/2773823
#SPJ2
If the three angles on one triangle have the same measure as the three angles on another triangle, then the triangles are congruent.
Answer:
Is this a question?
Step-by-step explanation:
You're correct, but this isn't a question...
Transform each polar equation to an equation in rectangular coordinates and identify its shape.
(a) r=6
(b) r= 2 cos theta
please show ur work
Answer:
(a) [tex]x ^ 2 + y ^ 2 = 6 ^ 2[/tex]
(b) [tex](x-1) ^ 2 + y ^ 2 = 1[/tex]
Step-by-step explanation:
Remember that to convert from polar to rectangular coordinates you must use the relationship:
[tex]x = rcos(\theta)[/tex]
[tex]y = rsin(\theta)[/tex]
[tex]x ^ 2 + y ^ 2 = r ^ 2[/tex]
In this case we have the following equations in polar coordinates.
(a) [tex]r = 6[/tex].
Note that in this equation the radius is constant, it does not depend on [tex]\theta[/tex].
As [tex]r ^ 2 = x ^ 2 + y ^ 2[/tex]
Then we replace the value of the radius in the equation and we have to::
[tex]x ^ 2 + y ^ 2 = 6 ^ 2[/tex]
Then [tex]r = 6[/tex] in rectangular coordinates is a circle centered on the point (0,0) and with a constant radius [tex]r = 6[/tex].
(b) [tex]r = 2cos(\theta)[/tex]
The radius is not constant, the radius depends on [tex]\theta[/tex].
To convert this equation to rectangular coordinates we write
[tex]r = 2cos(\theta)[/tex] Multiply both sides of the equality by r.
[tex]r ^ 2 = 2 *rcos(\theta)[/tex] remember that [tex]x = rcos(\theta)[/tex], then:
[tex]r ^ 2 = 2x[/tex] remember that [tex]x ^ 2 + y ^ 2 = r ^ 2[/tex], then:
[tex]x ^ 2 + y ^ 2 = 2x[/tex] Simplify the expression.
[tex]x ^ 2 -2x + y ^ 2 = 0[/tex] Complete the square.
[tex]x ^ 2 -2x + 1 + y ^ 2 = 1[/tex]
[tex](x-1) ^ 2 + y ^ 2 = 1[/tex] It is a circle centered on the point (1, 0) and with radio [tex]r=1[/tex]
Factor completely 2x^2+2x-24
Answer:
2(x + 4)(x − 3)
Step-by-step explanation:
Hope it helped you
Answer:
2(x + 4)(x - 3)
Step-by-step explanation:
Given
2x² + 2x - 24 ← factor out 2 from each term
= 2(x² + x - 12)
To factor the quadratic
Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)
The factors are + 4 and - 3, since
4 × - 3 = - 12 and 4 - 3 = + 1, thus
x² + x - 12 = (x + 4)(x - 3) and
2x² + 2x - 24 = 2(x + 4)(x - 3)
4. What is the sale price of a pair of socks with a
regular price of $9.95 which are on sale for 30% off?
$30.00
$2.99
$6.97
$12.94
$0.30
$9.95 - 30% = $6.97
5(6x2y+y)+3y(-2×2-5)
[tex]
5(6\times2y+y)+3y(-2\times2-5) \\
5(12y+y)+3y(-4-5) \\
60y+5y+3y(-9) \\
60y+5y-27y \\
60y-22y \\
\boxed{38y}
[/tex]
the sqaure root of 7/11
The answer to this problem is 0.80
The square root of 7/11 is 0.240522846.
Do you rectangular floor of a classroom is 36 feet length and 32 feet in width. They scale drawing of the Florida has a length of 9 inches. What is the area square inches of the floor in the scale drawing
Answer:
72 sq. inch.
Step-by-step explanation:
9 inches in feet is 9/12 = 0.75 feet.
We can set up a ratio to figure out the width of the scale drawing.
[tex]\frac{36}{0.75}=\frac{32}{x}[/tex]
This means "if 36 feet is 0.75 feet in drawing, how much (let that be x) is 32 feet?"
let's cross multiply and solve for x:
[tex]\frac{36}{0.75}=\frac{32}{x}\\36x=32*0.75\\36x=24\\x=\frac{24}{36}=\frac{2}{3}[/tex]
So width is 2/3 feet and length is 0.75 feet.
Converting back to inches (since we need the area in sq. inches):
2/3 feet = 2/3 * 12 = 8 inches, and
0.75 feet = 0.75 * 12 = 9 inches
Hence, area is 8 * 9 = 72 sq. inches.
Simplify 2x - 8x - 6y + 9 -14 + x + 11y.
A)5x - 5y - 5
B)-5x + 5y - 5
C)5x + 5y + 5
D)-5x - 5y + 5
B: -5x + 5y - 5
Hope this is the answer you're looking for (:
2x - 8x - 6y + 9 - 14 + x + 11y
-6x + x - 6y + 11y - 5
-5x + 5y - 5
So the answer should be B
The sum of the first three terms of a finite geometric series is7/6 and their product 1/27 is .
(Hint: Use , a, and ar to represent the first three terms, respectively.)
The three numbers are _______, ________, and _________.
Answer:
1/6, 1/3, 2/3
Step-by-step explanation:
Given data:
The sum of the first three terms of a finite geometric series is7/6 and their product 1/27 is .
Let a/r , a and ar be the three terms of a finite geometric series then:
a/r + a + ar = 7/6
and
(a/r) x (a) x (ar) = 1/27
Now first solving for a:
solving second equation
a^3r/r = 1/27
a^3= 1/27
a = 1/[tex]\sqrt[3]{27}[/tex]
a=1/3
Now solving for r:
Solving first equation
a/r + a + ar = 7/6
Putting value of a= 3 in above equation
1/3r + 1/3 + r/3 = 7/6
(1+r+r^2)/3r= 7/6
6(1+r+r^2)= 7(3r)
6+ 6r+ 6r^2= 21r
6r^2 - 15r +6=0
r=2
Hence the first three terms of a finite geometric series are
a/r= (1/3)/(2)
= 1/6
a= 1/3
ar= 1/3 (2)
=2/3 !
PleAse help me gsjdif
Answer: All of them besides 2/9
Step-by-step explanation:
2/3 equels 6/9 and 8/12. That first explanation is for the last to answers.
The first 2 have numerators greater than the denominator.
Annie bought 3/4 kg of cocoa powder, which cost $12.92 per kg.
* Estimate the cost.
b. Find the exact amount she had to pay
Answer:
Estimated cost; $9
Exact amount; $9.69
Step-by-step explanation:
We are told that Annie bought 3/4 kg of cocoa powder, which cost $12.92 per kg.
a.
We are required to estimate the cost of the 3/4 kg of cocoa powder given that 1 kg costs 12.92
We can round down the cost of a kg to obtain $12 per kg. Therefore, 3/4 of a kg will cost approximately;
(3/4) of 12
= (3/4)*12 = $9
Thus the estimated cost is $9
b.
We are required to determine the the exact amount she had to pay for the 3/4 kg of cocoa powder;
1 kg cost 12.92
3/4 of a kg will cost;
(3/4) of 12.92
= (3/4) * 12.92
Using a calculator we have;
9.69
Therefore, the exact amount paid was $9.69
Answer:
Part a) The estimate cost is about $9
Part b) The exact cost is $9.69
Step-by-step explanation:
we know that
Annie bought 3/4 kg of cocoa powder, which cost $12.92 per kg
Part a
To find the estimate cost round the numbers and multiply
we have
[tex]\$12.92=\$12[/tex] -----> round down
so
[tex]\frac{3}{4}(12)=\$9[/tex]
Part b
To find the exact amount she had to pay, multiply 3/4 by $12.92
so
[tex]\frac{3}{4}(12.92)=\$9.69[/tex] ----> exact value
if you're standing on the trail 220 feet from the bottom of the tree, you have to look up at a 60 degree angle to see the top . How tall is the tree
Answer:
381.051178
Step-by-step explanation:
222 (tan) 60=381.051178
The height of the tree is 381.05 ft.
Given distance of man from the bottom of the tree is 220 ft.
Let height of the tree be x ft.
Now we have to look up at a 60 degree angle to see the top of the tree.
So we can write in trigonometric ratio form, [tex]tan60= \frac{perpendicular}{base}[/tex]
[tex]\sqrt{3} =\frac{x}{220}[/tex] ( tan 60=[tex]\sqrt{3}[/tex])
[tex]x= 220\times\sqrt{3}[/tex]
[tex]x= 381.05 ft[/tex]
The height of the tree is 381.05 ft.
For more details on trigonometric ratios follow the link:
https://brainly.com/question/1201366
For f(x)=2x+1 and g(x)=x^2 -7 , find (f times g)(x)
Answer:
2x³ + x² - 14x - 7
Step-by-step explanation:
The product of f(x) and g(x) is
(2x + 1)(x² - 7)
Each term in the second factor is multiplied by each term in the first factor
2x(x² - 7) + 1 (x² - 7) ← distribute both parenthesis
= 2x³ - 14x + x² - 7
= 2x³ + x² - 14x - 7 ← in standard form
Please help! I'm super confused.
Answer:
10y + 2
Step-by-step explanation:
The formula for the perimeter of a rectangle or square is [length + length + width + width = perimeter or 2(length) + 2(width) = perimeter]
Our length here is y + 2. Either formula you use, [(y+2) + (y+2) or 2(y+2)] you should get the answer 2y + 4.
Next our width. The width is 4y-1. Either formula you use, [(4y-1) + (4y-1) or 2(4y-1)] you should get 8y - 2.
Then, simply add (2y+4) and (8y-2) to get 10y + 2. So, the perimeter of the garden is 10y + 2.
I hope this helps!
need helpppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
320 cubic cm
Step-by-step explanation:
To answer a prism volume question, also see it as a shape (in this case a triangle) that is very thick.
First step is to calculate the area of the shape. We all know the formula to calculate the area of a triangle: (b x h)/2. And we those two measures. The height of the triangle is b (8 cm), the base of the triangle is a (10 cm).
A = (b * h)/2 = (10 * 8) / 2 = 80 / 2 = 40 sq cm
Then we multiply the base area of the prism by its height to get the total volume. In this case, the height is also known, h = 8 cm.
V = b * h = 40 * 8 = 320 cubic cm
Answer:
320
Step-by-step explanation:
The volume of a prism is the height times the area of the base.
V = hA
The base is a triangle. The volume of a triangle is half the base times height.
V = h (½ ab)
Given a = 10, b = 8, and h = 8:
V = ½ (8) (10) (8)
V = 320
What is the simplified form of (4j^2+6)+(2j^2-3) ?
1. 6j^2-3
2. 6j^2+3
3. 6j^2+9
4. 4j^4+3
Answer:
2. 6j^2 + 3
Step-by-step explanation:
40 POINTS AVAILABLE!!!
PLEASE HELP
Step-by-step explanation:
[tex]\begin{array}{ccc}1&-&d\\2&-&c\\3&-&a\\4&-&b\\5&-&f\\6&-&e\end{array}[/tex]
Value 1:
r = 5ft, h = 10ft. Substitute:
[tex]SA=2\pi(5)(10)+2\pi(5^2)=100\pi+50\pi=150\pi\ ft^2[/tex]
Value 2:
r = 2in, h = 4in. Substitute:
[tex]V=\dfrac{1}{3}\pi(2^2)(4)=\dfrac{1}{3}\pi(4)(4)=\dfrac{16\pi}{3}\\\\\pi\approzx3.14\to V\approx\dfrac{(16)(3.14)}{3}\approx16.75\ in^3[/tex]
Value 3:
r = 6m. Substitute:
[tex]V=\dfrac{4}{3}\pi(6^3)=\dfrac{4}{3}\pi(216)=4\pi(72)=288\pi\ m^3\\\\\pi\approx3.14\to V\approx288(3.14)=904.32\ m^3[/tex]
Answer:
a
Step-by-step explanation:
what is the smallest solution to the equation 2x^2+17=179?
A. -9
B. -3
C. 3
D. 9
Answer:
A
Step-by-step explanation:
?? That a tuff one.hope u find the answer soon
Graph Y is less than 1/3 X +1/2
Answer:
Step-by-step explanation:
graph y = 1/3x + 1/2
the slope is 1/3
y intercept is 1/2 ( that would be on the y axis)
slope would be 1/3 . ..up one over three
plot points starting with 1/2 . . and then move the points up one over three
with Y less than that line . . .it would have to move to the right on the number line . . .so you shade the right hand side of the line on the graph
Help for the two questions shown, please!
Answer:
5) 140.8m^2 6) 360in^2
Step-by-step explanation:
5.
6.4 x 6.4 = 40.96
(7.8 x 6.4) ÷ 2 = 24.96
24.96 x 4 = 99.84
99.84 + 40.96 = 140.8m^2
6.
12 x 10 = 120in
13 x 10 = 130in
5 x 10 = 50in
(12 x 5) ÷ 2 = 30in
30 x 2 = 60in
60 + 50 + 130 + 120 = 360in^2
Find the probability of a student being 34 years old or younger. Express your answer as a percent
Answer:
79%
Step-by-step explanation:
The probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32 is 0.7881 = 78.81%
When the distribution is normal, we use the z-score formula.
What is 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.
In this question:
[tex]\mu=28,\sigma=5[/tex]
Find the probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.
This is the p-value of Z when X = 32. So
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
[tex]Z=\frac{32-28}{5}[/tex]
[tex]Z=0.8[/tex]
Z=0.8 has a p-value of 0.7881
0.7881 = 78.81% probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.
To learn more about the probability visit:
https://brainly.com/question/25870256
#SPJ2
HELP ASAP!!!
3/7 of the apples in a box are red apples. The rest are green apples. There are 24 Green apples. How many apples are there altogether?
After spending 2/5 of his money on a toy car, Josh had $42 left. How much money did he have first?
Answer:
42 apples altogether; $70
Step-by-step explanation:
If 3/7 of the apples in a box are red, that means 4/7 of the apples in the box are green. This means that (4/7)x=24 (x=number of apples altogether), since 24 of the apples are green. The equation can then be solved by dividing 24 by 4/7, giving us 42.
x=42
If Josh spent 2/5 of his money and had $42 dollars, $42 would be 3/5 of his money. This means that (3/5)x=42 (x= amount of money he started with). The equation can be solved by dividing 42 by 3/5, which gives us 70.
x=70
there were 42 apples in total and josh initially had $70.
Finding Total Number of ApplesLet the total number of apples be x. Therefore, [tex]\frac{4}{7}[/tex] of x are green apples, and this equals 24:
[tex]\frac{4}{7} \times x = 24[/tex]
We can solve for x as follows:
[tex]x = 24 \times \frac{7}{4}\\\\x = 42[/tex]
So, there are 42 apples in total.
Finding Initial Amount of MoneyLet y represent the total amount of money Josh had initially. According to the problem, after spending [tex]\frac{2}{5}[/tex] of his money, he had [tex]\frac{3}{5}[/tex] remaining, which equals $42:
[tex]\frac{3}{5} \times y = 42[/tex]
Now we can solve for y as follows:
[tex]y = 42 \times \frac{5}{3}\\\\y = 70[/tex]
Josh initially had $70.
So, there were 42 apples in total and josh initially had $70.
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of
3 large boxes and
5 small boxes has a total weight of
116 kilograms. A delivery of
9 large boxes and
7 small boxes has a total weight of
238 kilograms. How much does each type of box weigh?
Answer:
Small box weighs 13.75 kg & large box weighs 15.75 kg
Step-by-step explanation:
We can write 2 simultaneous equation and solve for weight of each box.
Let weight of large box be l and small box be s.
"3 large boxes and 5 small boxes has a total weight of 116 kilograms":
[tex]3l+5s=116[/tex]
and
"9 large boxes and 7 small boxes has a total weight of 238 kilograms":
[tex]9l+7s=238[/tex]
Now we can solve for l in the 1st equation and put it into 2nd equation and get s:
[tex]3l+5s=116\\3l=116-5s\\l=\frac{116-5s}{3}[/tex]
now,
[tex]9l+7s=238\\9(\frac{116-5s}{3})+7s=238\\3(116-5s)+7s=238\\348-15s+7s=238\\348-238=15s-7s\\110=8s\\s=\frac{110}{8}=13.75[/tex]
now we plug in 13.75 into s into equation of l to find s:
[tex]l=\frac{116-5s}{3}\\l=\frac{116-5(13.75)}{3}\\l=15.75[/tex]