Answer:
equation: s = 70W + 750
answer for 12 weeks: 1590
Step-by-step explanation:
You replace W with 12 to get the total amount per 12 weeks.
What is the value of y in the equation 9 + y = 8?
72
17
1
−1
y = -1
Get the variable on one side of the equation...
9 + y = 8
9 + y - 9 = 8 - 9
y = -1
Answer:
y = -1
Step-by-step explanation:
This is a one-step equation. All you have to do is subtract the 9 from the left side to move it to the right side. This would give you an answer of y = -1.
Please help with this math question'
Answer:
The rocket's maximum height will be 1424 feet.
It will reach that height in 4 seconds.
It will reach the ground in 8 seconds.
Step-by-step explanation:
One easy way to find the peak is to find the derivative and solve for zero:
h(t) = -16t² + 128t + 1680
To find the derivative of each term in that format, you simply multiply the coefficient by the exponent, and reduce the exponent by one. In the case of terms with no variable, they disappear. That gives us:
h'(t) = -32t + 128
This derivative describes the rate of change of h with respect to t, so to find the peak, we simply need to solve it for zero:
0 = -32t + 128
32t = 128
t = 4
So the maximum height occurs when t = 4. Let's plug it in to the original equation:
h(t) = -16t² + 128t + 1680
h(4) = -256 + 512 + 1680
h(4) = 1424
So the rocket's maxiumum height is 1424 feet.
And we've already answered the second question, it happens at 4 seconds.
Also, the amount of time going up will be the same as the amount of time going down, which means that it will reach the ground in twice that time, or 8 seconds.
Kyle soles 18 of 24 puzzles in a puzzle book. he says that he can use an equivalent fraction to find the percent of puzzles in the book that he solved. how can he do that? what ia the percent?
PLEASE
Answer:
He solved 75% of the puzzles!
Step-by-step explanation:
Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.
18 3
---- divided by 6 = ----
24 4
Now that we have the fraction 3/4, we can turn that into a percentage!
3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.
A help desk has two employees with one working during the day and one working at night. The number of hours the first employee works (X1) is normally distributed with mean 8.6 and standard deviation 0.1 and the number of hours the second employee works (X2) is normally distributed with mean 8.4 and standard deviation 0.9. Suppose that the amount of time that the employees overlap (X3) is normally distributed with mean 0.2 and standard deviation 0.2. Finally, assume that X1, X2, and X3 are independent. We are interested in the total time that the help desk has an employee present, i.e., Z = X1 + X2 - X3. A) What is the expected value of Z, the total time that the help desk has an employee present? B) What is the variance of Z? C) What is the probability that Z is between 15.9 and 16.1? D) What is the probability that Z is greater than 16?
Answer:
a) 16.8 hours.
b) 0.86 hours squared.
c) 0.0606 = 6.06% probability that Z is between 15.9 and 16.1.
d) 0.8051 = 80.51% probability that Z is greater than 16
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
Sum of normal variables:
When we add normal variables, the mean is the sum of each mean, while the variance is the sum of each variance. The standard deviation is the squared root of the variance.
In this question:
X1: Mean 8.6, standard deviation 0.1
X2: Mean 8.4, standard deviation 0.9
X3: Mean 0.2, standard deviation 0.2
Z = X1 + X2 - X3.
Mean:
[tex]\mu = 8.6 + 8.4 - 0.2 = 16.8[/tex]
Variance:
[tex]\sigma^{2} = 0.1^2 + 0.9^2 + 0.2^2 = 0.86[/tex]
Standard deviation:
[tex]\sigma = \sqrt{\sigma^{2}} = \sqrt{0.86} = 0.9274[/tex]
A) What is the expected value of Z, the total time that the help desk has an employee present?
[tex]\mu = 16.8[/tex]
So 16.8 hours.
B) What is the variance of Z?
[tex]\sigma = 0.86[/tex]
So 0.86 hours squared.
C) What is the probability that Z is between 15.9 and 16.1?
This is the pvalue of Z when X = 16.1 subtracted by the pvalue of Z when X = 15.9. So
X = 16.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16.1 - 16.8}{0.9274}[/tex]
[tex]Z = -0.75[/tex]
[tex]Z = -0.75[/tex] has a pvalue of 0.2266
X = 15.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.9 - 16.8}{0.9274}[/tex]
[tex]Z = -0.97[/tex]
[tex]Z = -0.97[/tex] has a pvalue of 0.1660
0.2266 - 0.1660 = 0.0606
0.0606 = 6.06% probability that Z is between 15.9 and 16.1.
D) What is the probability that Z is greater than 16?
This is 1 subtracted by the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 16.8}{0.9274}[/tex]
[tex]Z = -0.86[/tex]
[tex]Z = -0.86[/tex] has a pvalue of 0.1949
1 - 0.1949 = 0.8051
0.8051 = 80.51% probability that Z is greater than 16
What's the equation of this sequence 4,8,16,32,64,128,256
Answer:
See below
Step-by-step explanation:
Here we have a function [tex]a[/tex] such that [tex]a: \mathbb{N}\to \mathbb{R}[/tex] and [tex]a:n \mapsto a(n) = a_n[/tex]
The sequence is denoted as [tex]$\{a_n\}_{n\in\mathbb{N}}$[/tex] such that [tex]\mathbb{N} = \{1, 2, 3, ...\}[/tex]
For this sequence, we would have
[tex]\left\{ {2^n\right\}_{n = 2}^8[/tex]
But sure it seems to follow
[tex]\left\{ {2^n\right\}_{n = 2}^\infty[/tex]
Answer:
The equation would be like :
2^(n+1)
Step-by-step explanation:
Hope this helps ;)
Good luck ^^
-13 > x -43 solve the inequality and enter your solution as inequality comparing the variable to the solution
Answer:
30 > x
Step-by-step explanation:
-13 > x-43
-13 + 43 > x -43 + 43
30 > x
I would really appreciate it if someone could answer this I will give a brainlist:)
[tex]97.[/tex]
Step-by-step explanation:
By using Pythagoras theorem
AC² = AB² + BC².
Let AB = 72 and BC = 65.
AC² = 72² + 65²
AC² = 5184 + 4225
AC² = 9409.
AC = √9409
AC = 97.
Which equation represents a linear function that has a slope of 4/5 and a y-intercept of -6?
Answer:
WOW THAT IS A LOT OF POINTS BRO
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
4500 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?
Answer:
180 teenagers were at the game
Unit test
The table below shows the worth of each of Warren's three companies.
Company
Worth (in millions of dollars)
Margie's Travel
- 12.28
Fifth Coffee
-6.91
Northwind Traders
1.72
Help Warren sort his companies from least to greatest absolute value of worth.
Fifth Coffee
Northwind Traders
Margie's Travel
Og
Report a problem
Answer:
north wind traders,fifth cofffe, margies coffe
Step-by-step explanation:
anwsers from khan.
solve r/13.7 = 5 for x
please help asap
Answer: x=68.5
Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.
Find the area of the parallelogram
4 cm
7 cm
[?] cm2
Answer:
28cm^2
Step-by-step explanation:
Area = 4 x 7
=28
hope it helps u
HELP PLZ IM IN A HURRY
Answer:
sorry 17.25 inches is the correct anser sorry answered it the wrong way did the wrong math formula
Step-by-step explanation:
Answer:
34.5
Step-by-step explanation:
there are two sides of a box! you multiply everything by 2 !
6 + 3 (10× - 22) could someone please help me solve this
Answer:
x = -2
Step-by-step explanation:
6 + 3(10x-22)
3 * 10x = 30x
3 * -22 = -66
6 + 30x = -66
-66 + 6 = -60
30x = -60
-60/30 = -2
x = -2
Need help plzzzzz
.
.
.
Answer: 1
Step-by-step explanation: f(3) would be one because if you look at the table 1 is next to 3. I hope this helps!
A science teacher fills a spherical bubble
What is the structure of prokaryotic cells?
Step-by-step explanation:
The Prokaryotic Cell
Prokaryotes are unicellular organisms that lack organelles or other internal membrane-bound structures. Therefore, they do not have a nucleus, but, instead, generally have a single chromosome: a piece of circular, double-stranded DNA located in an area of the cell called the nucleoid.
Find the missing term of the following sequence.
. . .-34,____, 77, . .
Answer:
21.5
Step-by-step explanation:
Just find the find the difference between 34 and 77 (even though 34 is a negative) then half the answer.
How many diagonals does a
rectangle have?
A rectangle has two pairs of opposite sides that are equal in length and four right angles.
To determine the number of diagonals a rectangle has, we need to consider that a diagonal connects any two non-adjacent vertices of a shape.
In a rectangle, there are four vertices. For each vertex, we can draw a diagonal to any of the other three vertices that are not adjacent. Since there are four vertices in total, we can draw a diagonal from each of the four vertices to three other vertices, resulting in a total of 4 * 3 = 12 diagonals.
However, we must keep in mind that each diagonal is counted twice since it connects two different vertices. Therefore, we need to divide the total count of diagonals by 2, giving us the final answer.
Hence, a rectangle has 12/2 = 6 diagonals.
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Brandon notice that he has more credits than Quentin who has 220 burlesque dance Rachel who has 260 .list three possible amount of credits Brandon could have
Answer:
Step-by-step explanation:
What is the value of x?
Answer:
Step-by-step explanation:
90 times 3 = 270
9x-3 + 6x + 48 = 270
add like terms, 48-3 = 45
9x + 6x + 45 = 270
subtract 45 both sides and add like terms again
15x = 225
divide 15 on both sides
x = 15
If you want to dilate a triangle, does the center of dilation have to be on the triangle? Can it be inside the triangle? Outside the triangle?
Answer:
No, it can be anywhere on the graph.
Step-by-step explanation:
Answer:
Attached
Step-by-step explanation:
Just a supplement of the above answer
A pair of jeans normally costs £40.
In the sales, there is 25% off.
Work out how much the jeans are in the sales.
Answer:
£30
Step-by-step explanation:
100% - 25% =75%
75% of £40
=£30
two supplementary angles have a ratio of 4:5 what is the measure of the larger angle?
Answer:
100°
Step-by-step explanation:
Supplementary means the sum of the angles is 180°
so we add 4+5 = 9
180/9 = 20
20 now we multiply according to the ratio
20x4:20x5
80:100
the measure of the largest is 100°
(Middle schoolers!)
If you need help with Draw Inferences from Data I have everything you need!
Just ask the question then come to me and I can answer it for you!
This is for do you know/how do you understand!
Answer:
Ok! tysm!
Answer explanation:
PLEASE HELP
How to do this
What is the exact value of sin(75°)?
What is the probability of picking a face card given that the card is a Jack?
Answer:
1/13
Step-by-step explanation:
there are 4 jacks in a deck of 52 cards
therefore probability of picking a jack:
4/52 = 1/13
Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10 are seniors who play the trumpet.
What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?
Answer:
8%
Step-by-step explanation:
10/125 * 100% = 8%
Which expressions are equivalent to 616? Check all that apply.
(60) 10
(62)
(61) 16
Answer:
(6^-4)^-4, (6^-2)^-8, (6^8)^2
The expressions are equivalent to the given expression are (6²)⁸ and (6⁻⁴)⁻⁴. Therefore, options C and F are the correct answers.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is 6¹⁶.
Here, 6¹⁶=(6⁴)⁴
6¹⁶=(6²)⁸
6¹⁶=(6⁸)²
6¹⁶=(6⁻⁴)⁻⁴
Therefore, options C and F are the correct answers.
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