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Related Questions
How many different possible outcomes are there when Jillana spins the spinner below and then flips the coin?
The spinner is from 1-6.
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Answer:
There are total 12 outcomes
Step-by-step explanation:
The number of outcomes in spinning a spinner is 6 (getting a number from 1 to 6)
The number of outcomes in flipping a coin=2 (head or tail)
Hence, total 12 outcomes are possible which are:
(1,H) (2,H) (3,H) (4,H) (5,H) (6,H)
(1,T) (2,T) (3,T) (4,T) (5,T) (6,T)
12x3+4x3+3x+1 factor by grouping
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I believe that is the answer, but please remember to try the question yourself!
A zoo has three panda bears and five giraffes. What is the ratio of panda bears to giraffes at that zoo?
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This is a ratio:
x:y
The ratio asks for panda bears to giraffes.
panda bears= 3
giraffes= 5
3:5 <== the ratio
I hope this helps!
~kaikers
The answer is 3:5
Hope this helps!
Always remember, you are a Work Of Art!
- Nicole <3 :)
6 Bands were going to play at a concert. How many ways can the concert manager send them on stage?
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there are two ways to resolve this task:
1. the 1st in this sequence is for 6 bands, the 2d in this sequence is for 5 rest bands, the 3d in this sequence is for 4 rest bands, the 4th in this sequence is for rest 3 bands, the 5th in this sequence is for rest 2 bands and the 6th in this sequence is for the last 1 band. Using the logical rule 'AND': A=6*5*4*3*2*1=720.
2. According to arrangement rules it is the formula: A=n!, where n - number of bands.
A=6!=720.
answer: 720.
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150.00 with a standard deviation of $30.20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2.5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test?
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Answer:
We conclude that consumers are spending more than the national average.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $150.00
Sample mean, [tex]\bar{x}[/tex] = $160
Sample size, n = 40
Alpha, α = 0.025
Population standard deviation, σ = $30.20
First, we design the null and the alternate hypothesis
[tex]H_{0}: \mu = 150\text{ dollars}\\H_A: \mu > 150\text{ dollars}[/tex]
We use One-tailed z test to perform this hypothesis.
Formula:
[tex]z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }[/tex]
Putting all the values, we have
[tex]z_{stat} = \displaystyle\frac{160 - 150}{\frac{30.20}{\sqrt{40}} } = 2.0942[/tex]
Now, [tex]z_{critical} \text{ at 0.025 level of significance for one tailed test } = 1.96[/tex]
Since,
[tex]z_{stat} > z_{critical}[/tex]
We reject the null hypothesis and accept the alternate hypothesis. We conclude that consumers are spending more than the national average.
plz help ill give u branlist
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so...
48 + 7(x + 1) = 90
7(x + 1) = 42
x + 1 = 6
x = 5
Rob cuts a 15-foot wire into 8 equal pieces. about how long is each piece?
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15/8 = 1.875
Each piece is 1.875 foot long
hope this helps
I hope this helped! :-)
As surface area of a cell increases, the surface area volume ratio A) increases. B) decreases. C) remains the same. D) remains constant, then increases exponentially.
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B) decreases is the answer
a pyramid has a square base. Its volume is 48 cubic centimeters and its height 4 centimeters. What is the length of one side og the base?
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B = ???
h = 4 cm
V = 48 cm^3
48 = 1/3 * B * 4 Multiply both sides by 3
48 * 3 = B * 4
144 = B * 4 Divide by 4
144/4 = B
36 = B
Since the base is a square the area of the base = s^2
s^2 = 36
Sqrt(s^2) = sqrt(36)
s = 6 cm <<<<==== answer.
Shelly has a photo that is 7 1/3 inches tall. she wants to shrink it down to fit in a picture frame that is only 5 1/3 inches tall. the photo shop can only reduce photos by certin fractions. they can reduce it to 2/3 the original size, 3/4 the original size, or 5/9 the original size. which reduction should she use so the picture fills as much of the frame as possible, without being too large?
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the photo is 7 1/3 inches tall-----> 7 1/3=(7*3+1)/3=22/3 in ----- > (7.33 in)
the picture frame is 5 1/3 inches tall--> 5 1/3=(5*3+1)/3=16/3 in----> (5.33 in)
a) case A reduce 2/3 the original size------> (22/3)*(2/3)=44/9 in-----> (4.89 in)
b) case B reduce 3/4 the original size---> (22/3)*(3/4)=66/12 in-----> (5.5 in)
this is not solution because 66/12 (5.5 ) in >16/3 (5.33) in ( picture frame)
c) case C reduce 5/9 the original size---> (22/3)*(5/9)=110/27 in-----> (4.07 in)
the answer is the case A reduce 2/3 the original size----> 44/9 in (4.89 in)
how much difference is there between investing $5,000 at 4% simple interest for 5 years and investing that same amount at 4% compounded quarterly
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- Simple interest formula: [tex]A=P(1+rt)[/tex]
where
[tex]A[/tex] is the final investment value
[tex]P[/tex] is the initial investment
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is the time in years
For our problem we know that [tex]P=5000[/tex], [tex]r= \frac{4}{100} =0.04[/tex], and [tex]t=5[/tex], so lets replace those values in our simple interest formula to find [tex]A[/tex]:
[tex]A=5000(1+(0.04)(5))[/tex]
[tex]A=5000(1.2)[/tex]
[tex]A=6000[/tex]
Now that we know the final investment value of our simple interest investment, lets use the compound interest formula to find the final investment value of the other one:
- Compound interest formula: [tex]A=P(1+ \frac{r}{n})^{nt} [/tex]
where
[tex]A[/tex] is the final investment value
[tex]P[/tex] is the initial investment
[tex]r[/tex] is the interest rate in decimal form
[tex]n[/tex] is the number of times the interest is compounded per year
[tex]t[/tex] is the time in years
For our problem we know that [tex]P=5000[/tex], [tex]r= \frac{4}{100} =0.04[/tex], and [tex]t=5[/tex]. Since we know that the interest is compounded quarterly (each 4 months), it mean that is compounded [tex] \frac{12months}{4months} =3[/tex] times per year, so [tex]n=3[/tex]. Now that we have all the vales, lets replace them in our formula:
[tex]A=5000(1+ \frac{0.04}{3} )^{(3)(5)} [/tex]
[tex]A=5000(1+ \frac{0.04}{3} )^{15} [/tex]
[tex]A=6098.95[/tex]
now that we know the final amounts of our investments, lets find how much difference is between them:
[tex]6098.95-6000=98.95[/tex]
We can conclude that the difference between invest $5000 in a compound interest investment vs a simple interest investment is $98.95.
A square playground has an area of 175 m2. What is the approximate length of each side of the playground? Round your answer to the nearest meter
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Therefore, for a known area A, the side length is
side = √ (area)
= √ (175)
= 13.2288 (to 4 places of decimals).
If the area of a square playground is 175 [tex]m^{2}[/tex] then the approximate length is 13 meters.
What is square?A square is a two dimensional figure having four vertices, four edges, four angles and all the sides are equal to each other. The perimeter is equal is equal to 4*side and the area is side*side.
How to find side of square?We have been given the area of the square playground equal to 175 meter square. We know that the area of a square is side*side means [tex]side^{2}[/tex].
Put the value of 175 equal to side square and we will get the value of slide.
Area =[tex]side^{2}[/tex]
175=[tex]side^{2}[/tex]
side=[tex]\sqrt{175}[/tex]
Side=13.22m
If we round to nearest meter then it will be equal to 13m.
Hence if the area of a square playground is 175 meter square then the side will be equal to 13m.
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Derek ran 3/8 of a race before he had to stop for a break. If the race is 6 miles long, did Derek run more than, less than, or equal to 6 miles before he took a break?
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3^2•3^n simplifies to 3^20 what is the value of the exponent n?
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[tex]3^2 \times 3^n = 3^20 [/tex]
Solving for n.
Divide both sides by 3²
[tex] \frac{3^2 \times 3^n}{3^2} = \frac{3^{20}}{3^2} [/tex]
Simplify
[tex]3^n= 3^{20-2} \\ 3^n=3^{18} \\[/tex]
[tex]if \ a^{f(x)}=a^{g(x)} , \ then \ f(x)=g(x)[/tex]
So, n=18
Answer: n=18
find the product 3012 and 4
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can someone please help me with this equation? thank you.
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.. x +2y = 3 . . . . . . . . divide the given equation by 3
Now, the perpendicular line is easily written as
.. 2(x -(-4)) -(y -2) = 0 . . . . . swap x, y coefficients, negate one. Translate to the given point
Simplifying, we have
.. 2x -y +10 = 0
Solving for y gives
.. y = 2x +10 . . . . . . . . . . . . corresponds to selection B
Suppose that a weight on a spring has initial position s(0) and period P. s(0)= 1in ;p=0.8
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Answer:
The function is given as:
s(t) = a cos(ωt)
This means that to get the exact function modelling the given situation, we will have to get values for ω and a.
1- getting the value of ω:
period = 0.8 sec
frequency = 1/period = 1/0.8 = 5/4 hz
ω = 2πf = 2*π*5/4 = 2.5π rad/sec
The function now became:
s(t) = a cos(2.5πt)
2- getting the value of a:
We are given that:
s(0) = 1 in
This means that:
s(t) = a cos(2.5πt)
1 = a cos(2.5π*0)
1 = a cos(0)
a = 1
Therefore, the function is:
s(t) = cos(2.5πt)
To get the value of the function at any instance (t), substitute with the value of "t" in the above function and get the corresponding s(t)
Hope this helps :)
The Bureau of Justice Statistics reports that the number of Americans on probation increased 76% from 1980 to 1995 and that 3.09 million Americans were on probation in 1995. If the rate of increase continues in the same way for the next 15-year period, what might be the number of Americans on probation in 2010?
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x: current number of Americans.
y: number of Americans after the next 15 years.
We now write the expression to model the problem, assuming:
"the rate of increase continues in the same way for the next 15-year period".
We have then:
y = 1.76 * x
y = 1.76 * (3.09)
y = 5.44 million Americans
Answer:
the number of Americans on probation in 2010 might be:
y = 5.44 million Americans
The prism is completely filled with 1750 cubes that have edge length of 1/5 feet. What is the volume of the prism,
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the volume one cube=(1/5)*(1/5)*(1/5)=(1/125) ft³
the volume of prism=1750*(1/125)=14 ft³
the answer is 14 ft³
the family arcade center charges an entry fee of 11$ plus an additional 1$ per game played
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Answer:
Option (c) is correct.
Average expense is given by function [tex]C(x)=\frac{\$11+\$1x}{x}[/tex]
Step-by-step explanation:
Given : The family arcade center charges an entry fee of 11$ plus an additional $1 per game played.
We have to choose from the given options a function that describes the average expense for a player per game played.
Let x be the number of game played.
So, The entry fee will be same for all that is $ 11
And in addition $1 is charged per game played.
when they play x games the charge will be $1 × x = $ x
Thus,
Average expense is defined as the total charge divided by number of player per game played.
That is Total charge per person = $ 11+ $1x
Since, there are x game played.
Thus, Average expense is given by function
[tex]C(x)=\frac{\$11+\$1x}{x}[/tex]
The price per barrel of crude oil in constant 2008 dollars can be approximated by p(t) = 0.45t2 − 12t + 105 dollars. (0 ≤ t ≤ 28) where t is time in years since the start of 1980.† find p'(t) and p'(25).
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The required p'(t) = 0.90t − 12 is and the value of p'(25) is 10.5.
What is function?A function from a set X to a set Y assigns to each element of X exactly one element of Y.
Now the given function is,
p(t) = 0.45t² − 12t + 105
where t is time in years
Taking first derivative we get,
p'(t) = 0.90t − 12
which is the required expression for p'(t)
Now for p'(25), put p = 25 in p'(t) we get,
p'(25) = 0.90*25 − 12
Solving,
p'(25) = 22.5 − 12
⇒ p'(25) = 10.5
which is the required value of p'(25).
Thus, the required p'(t) = 0.90t − 12 is and the value of p'(25) is 10.5.
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Final answer:
To find the derivative of the price function with respect to time and the value of the derivative at a specific time, follow the steps provided using the given function p(t).
Explanation:
The derivative of the price function with respect to time, p'(t), can be found by taking the derivative of the given function, which is p'(t) = 0.90t - 12. The value of p'(25) can be calculated by substituting t = 25 into the derivative function, giving p'(25) = 0.90(25) - 12 = 22.5 dollars per year.
A 14.5-gallon gasoline tank is 3434 full. How many gallons will it take to fill the tank? Write your answer as a mixed number.
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Find a vector equation and parametric equations for the line segment that joins p to q. p(1, −1, 7), q(7, 6, 1) vector equation r(t) = <1+6t,−1+7t,7−6t> parametric equations (x(t), y(t), z(t)) =
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- vector equation: r(t) = <1 + 6t, -1 + 7t, 7 - 6t>
- parametric equations:
x = 1 + 6t
y = -1 + 7t
z = 7 - 6t
Explanation:
To obtain the vector equation, we first get a vector v that is parallel to the line. To get the vector v, we subtract p from q. So,
v = q - p
= (7,6,1) - (1,-1,7)
v = (6, 7, -6)
The vector equation of the line is given by
[tex]r(t) = v_0 + tv[/tex]
Where
[tex]v_0[/tex] = a point in the line (we choose point p(1,-1,7))
So, the equation of the line joining p and q is given by
[tex]r(t) = v_0 + tv \\ \indent = \left \langle 1, -1, 7 \right \rangle + t\left \langle 6, 7, -6 \right \rangle \\ \indent = \left \langle 1, -1, 7 \right \rangle + \left \langle 6t, 7t, -6t \right \rangle \\ \indent \boxed{r(t) = \left \langle 1 + 6t, 1 + 7t, 7 - 6t \right \rangle }[/tex]
In the parametric equation of the line, we just need to get the x, y and z coordinates in the vector equation.
Since the vector equation is given by
[tex]r(t) = \left \langle 1 + 6t, 1 + 7t, 7 - 6t \right \rangle[/tex]
The parametric equations of the line are given by:
[tex]x(t) = 1 + 6t \\y(t) = 1 + 7t \\z(t) = 7 - 6t[/tex]
The vector equation for the line segment joining the points p(1, -1, 7) and q(7, 6, 1) is r(t) = <1+6t, -1+7t, 7-6t> and the corresponding parametric equations are x(t) = 1 + 6t, y(t) = -1 + 7t, z(t) = 7 - 6t.
Explanation:To find the vector and parametric equations for the line segment joining two points p(1, -1, 7) and q(7, 6, 1), we first need to understand that the vector equation for a line segment in space is given by r(t) = p + t (q - p), where 0 ≤ t ≤ 1, and p and q are the coordinates of the points. The parametric equations are obtained by expressing the x, y, and z coordinates of r(t) as individual functions of t.
Substituting the given points into the vector equation we get: r(t) = <1+6t, -1+7t, 7-6t>. Then, the corresponding parametric equations will be x(t) = 1 + 6t, y(t) = -1 + 7t, and z(t) = 7 - 6t.
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EXPERTS/ACE/GENIUSES
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The sixth grade art students are making a mosaic using tiles in the shape of right triangles. Each tile has leg measures of 3 centimeters and 5 centimeters. If there are 200 tiles in the mosaic, what is the are of the mosaic? Explain. PLEASE HELP!!!
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3 TIMES 200=600
5 TIMES 200=1000
1000+600=1600
Can somebody please help me out ?
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A = (1/2) * b * h
Where
b: base
h: height.
For the lower triangle we have:
A = (1/2) * (10) * (root ((8) ^ 2- (5) ^ 2))
A = 31 in ^ 2
We add this area with the area of the upper triangle:
31 in ^ 2 + 17 in ^ 2 = 48 in ^ 2
Answer:
The quadrilateral area will be:
48 in ^ 2 (option 3)
for what values of x is the rational expression below undefined? x-7/x^2-7x-8
check all that apply
a. 1
b. 7
c. 8
d. -8
e. -7
f. -1
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f(x)=(x-7)/(x²-7x-8)
resolving the quadratic equation
using a graph tool-------- > see the attached figure
x=-1 x=8
therefore
(x-7)/(x²-7x-8)=(x-7)/[(x+1)*(x-8)
the answer is -1 and 8
simplify the complex fraction
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the final answer is (y+z)/(y-z)
Consider a binomial experiment with n = 7 trials where the probability of success on a single trial is p = 0.35. (round your answers to three decimal places.) (a) find p(r = 0). (b) find p(r ≥ 1) by using the complement rule.
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b) If the result does NOT have zero successes, then we automatically know that there must have been at least 1 successful result (it could be anything from 1 to 7). Therefore if the probability of having 0 successes is 0.0490, then the probability of having at least 1 is 1 - 0.0490 = 0.951.
Answer:
yes
Step-by-step explanation:
A math test took 50 minutes to complete. The test ended at 3:55. What time did the test begin?
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A math test ended at 3:55 and it took 50 minutes to complete. What time did the math test start?
The math test started at 3:05.
If we know that the math test ended at 3:55 and lasted 50 minutes, we can subtract 50 minutes from 3:55 and we will get an answer of 3:05.
Therefore, the math test started at 3:05.