Answer:
4/8 and 8/16
Step-by-step explanation:
Multiply 1/2 and 3/4 to find a common fraction between them (4/8) then multiply that fraction by any number greater than 1 to find another fraction equivalent
A small startup skateboard coMpany projects that the cost per month of manufacturing x skateboards will be C(x)= 10x +500 and the revenue per month from selling x skateboards will be r(x)= -x2+70x. Given that the profit is revenue minus cost for what values of x will the company break even or make a profit
The startup company needs to sell 68 skateboards in order to break even
Profit FunctionTo solve this problem, we have to find the profit of the company and what is required to break-even from total sales.
C(x) = 10x + 500
r(x) = -x² + 70x
Profit = revenue - cost
profit = (-x² + 70x) - 10x + 500
profit = -x² + 70x - 10x + 500
profit = -x² + 60x + 500
Solving the quadratic equation
x = 67.4 ≅68
For the startup to break even, they need to sell at least 68 skateboard.
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[10 POINTS] OMGGGGGGG!!!!!!!!!!!!! GUYS I NEED HELP ASAP!!!!!!!! I HAVE TO TURN THIS IN 5 MINUTES!!!!!!!! HELP ME PLEASE!!!!! I'LL GIVE 10 POINTS!!!
2+2= ?
Help please
Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions
The values of [tex]D, D_x, D_y[/tex] are, [tex]D = 13, D_x = 8, D_y = 19[/tex].
What is Cramer's rule?
One of the key techniques used to solve an equation system is Cramer's rule. The determinants of matrices are used in this method to derive the values of the system's variables. Thus, the determinant technique is another name for Cramer's rule.
Consider, the given system of equations
-3x + 4y = 4 ...(1)
2x = 7y - 9 ...(2)
equation (2) can be written as,
2x - 7y = -9 ..(3)
Using Cramer's rule, we have to find the determinant of the coefficient matrix
matrix,
D= [tex]\left[\begin{array}{ccc}-3&4\\2&-7\end{array}\right][/tex] = (-3)(-7) - 8 = 21 - 8 = 13
Secondly, find the determinant of x coefficient matrix,
[tex]D_x[/tex] = [tex]\left[\begin{array}{ccc}4&4\\-9&-7\end{array}\right][/tex] = (4)(-7) - (4)(-9) = -28 + 36 = 8
Similarly, find the determinant of y coefficient matrix,
[tex]D_y[/tex] = [tex]\left[\begin{array}{ccc}-3&4\\2&-9\\\end{array}\right][/tex] = (-3)(-9) - (4)(2) = 27 - 8 = 19
Hence, values of the determinants are, [tex]D = 13, D_x = 8, D_y = 19[/tex].
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The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer 28 62 90
Mobile device 46 64 110
Column totals 74 126 200
PLEASE What is the joint relative frequency of students who use a mobile device in an online class?
64%
55%
32%
23%
The joint relative frequency of students who use a mobile device in an online class is approximately 32%.
The joint relative frequency of students who use a mobile device in an online class, we need to divide the frequency of the intersection of the "Mobile device" and "Online" categories by the total number of students (200 in this case) and express it as a percentage.
From the given two-way frequency table, we can see that the frequency for the intersection of "Mobile device" and "Online" is 64.
The joint relative frequency can be calculated as:
Joint Relative Frequency = (Frequency of intersection / Total number of students) × 100
Joint Relative Frequency = (64 / 200) × 100
Joint Relative Frequency ≈ 32%
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Make w the subject of the formula y - aw = 2w - 1
Answer:
[tex]w=\frac{y+1}{a+2}[/tex]
Step-by-step explanation:
[tex]y-aw=2w-1 \\ \\ y+1=2w+aw \\ \\ y+1=w(a+2) \\ \\ w=\frac{y+1}{a+2}[/tex]
25 x 10 to the power of 6 in a standard form
pediatricians work an average of 40 h per week. The standard deviation is 15 hours. What percentage of pediatricians work more than 70 h per week?
The percentage of pediatricians that work more than 70 h per week is; 2.275%
How to find the percentage from z-score?The formula for z-score of a normal distribution is;
z = (x' - μ)/σ
where;
x' is sample mean
μ is population mean
σ is standard deviation
We are given;
sample mean; x' = 70 hours
population mean; μ = 40 hours
standard deviation; σ = 15 hours
Thus;
z = (70 - 40)/15
z = 2
From online p-value from z-score calculator, we have;
p-value = 0.02275 = 2.275%
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The function f(x) is graphed below. What is true about the graph on the interval from x = -∞ to x = a?
Nick bikes 39 miles in 2 hours while Jane bikes 34 miles in 5 hours. Who bikes faster Nick or Jane?
Answer:
Nick
Step-by-step explanation:
Nick: 39 miles / 2 hours = 19.5 miles per hour
Jane: 34 miles / 5 hours = 6.8 miles per hour
Nick is biking faster!
Write the following polynomial function in standard form. f(x)=2x-x^5+2x³ - x²-1-3x¹
Answer:
-x^5+2x³-x²-1x-1
Step-by-step explanation:
First order the terms based on highest degree or exponent.
-x^5+2x³-x²-3x¹+2x-1
Next combine like terms.
-3x¹ is simply -3x so -3x+2x = -1x
-x^5+2x³-x²-1x-1
31-62=152+2-6(3+21) i need the answer to this please help
the net of a prism is shown
a)how many faces
b)what is the mathmatical name
Answer:
????? you did not show the net of the prism
Step-by-step explanation:
Answer:
b) it's a polyhedron
I don't know what else to say
Find the sum of the first n terms of the geometric sequence. n=5, a₁ =4, r = 3
The sum of n terms of geometric sequence with n=5, a₁ =4, r=3 is given by = 484.
Given that the sequence is geometric.
First term is = a₁ = 4
Common ratio is = r = 3
The number of terms for which the sum to be determined = n = 5
So the required sum of n terms of given geometric sequence is given by,
S [tex]=a_1\times\frac{r^n-1}{r-1}[/tex]
S [tex]=4\times\frac{3^5-1}{3-1}[/tex]
S = 4*((243-1)/2)
S = (4*242)/2
S = 484
Hence the sum of the given geometric sequence is 484.
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An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 400 feet of antique picket fencing are to be used to enclose the garden, find
the dimensions of the garden.
Answer:
[tex]10\sqrt{6}[/tex] feet by [tex]\frac{20}{3}\sqrt{6}[/tex] ft
Step-by-step explanation:
If the length is [tex]l[/tex], then the width is [tex]\frac{2}{3}l[/tex].
Using the formula for the area of a rectangle,
[tex]l \cdot \frac{2}{3}l=400 \\ \\ \frac{2}{3}l^2=400 \\ \\ l^2=600 \\ \\ l=10\sqrt{6}[ \\ \\ \implies w=\frac{20}{3}\sqrt{6}[/tex]
i will give brainly if someone helps with thisIf △ABC is translated 3 units left and 2 units up, what would be the translated coordinates of Point C?
Answer: (-2, -2)
Step-by-step explanation:
Right now, the coordinates of point C are (1, -3).
It is first moved 3 units to the left, so the point C would change to (1 - 3, -3) = (-2, -3)
It is then moved 2 units up, so point C would change to (-2, -3 + 2) = (-2, -1)
Tickets for movie admission for adults are
$4.00 each, but half-price is charged for
children. If 265 adult tickets were sold and
he box office collected $1,200, how many
children's tickets were sold?
A) 70
B) 35
C) 280
[D) 140
Answer:
[ D ] 140
Step-by-step explanation
4 x 265 = 1060
1060 - 1200 = -140
the answer is 140 i hope this helped <3
A quadratic function
y
=
f
(
x
)
y=f(x) is plotted on a graph and the vertex of the resulting parabola is
(
−
4
,
6
)
(−4,6). What is the vertex of the function defined as
g
(
x
)
=
f
(
x
)
−
4
g(x)=f(x)−4?
g(x) is a vertical dilation of f(x), then the x-value of the vertex does not change, using that we will see that the vertex of g(x) is (-4, 24)
What is the vertex of g(x)?
We know that there is a parabola graphed called f(x), such that the vertex of f(x) is at (-4, 6).
We also have a vertical dilation of this function defined as:
g(x) = 4*f(x)
Notice that because this is a vertical dilation, the x-value of the vertex does not change, then the vertex is at x = -4, like on f(x).
Evaluating there we get:
g(-4) = 4*f(-4)
And because the vertex of f(x) is (-4, 6), then we know that:
f(-4) =6
Replacing that we get:
g(-4) = 4*f(-4) = 4*6 = 24
Then the vertex of g(x) is at (-4, 24)
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Help pls pls shsjsjsjsjs
Answer:
The answer would be the first one because when you factor -3 out, inside of the parentheses should be all positive because negative times negative is positive.
see photo for question
1. The hypothesis are given as follows:
Null: [tex]H_0: \mu \leq 178258[/tex]Alternative: [tex]H_1: \mu > 178258[/tex]2. The critical value is of: t = 2.3974.
3. The test statistic is of: t = 2.35.
4. The decision is: Reject the null hypothesis.
5. The conclusion is: There is enough evidence to conclude that the mean is greater.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean in Los Angeles is greater, that is:
[tex]H_0: \mu \leq 178258[/tex]
At the alternative hypothesis, it is tested if there is enough evidence, hence:
[tex]H_1: \mu > 178258[/tex]
The t-distribution is used, as we have the standard deviation for the sample but not for the population. Using a t-distribution calculator, with 55 - 1 = 54 df, a right-tailed test, as we are testing if the mean is greater than a value and a significance level of 0.01, the critical value is:
t = 2.3974.
Hence the decision rule is defined as follows:
t < 2.3974: Do not reject the null hypothesis.t > 2.3974: Reject the null hypothesis.What is the test statistic and the conclusion?The test statistic is given by the equation presented as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are listed as follows:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In the context of this problem, the values of these parameters are given as follows:
[tex]\overline{x} = 191790, \mu = 178258, s = 42627, n = 55[/tex]
Hence the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{191790 - 178258}{\frac{42627}{\sqrt{55}}}[/tex]
t = 2.35.
The test statistic is greater than the critical value, hence:
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IXL Please Help Fast!
Equation of line c parallel to line d and passing through points (2, -6) is
How to equation of line dThe equation of line d will be written in the slope intercept form of the form just like line c,
the slope intercept form is as below
y = mx + c
where
m = slope
c = intercept
x = input variables
y = output variables
y = -5x + 3
slope
m = -5
slope of parallel lines are equal hence slope of line d = -5
using the formula for the slope intercept the equation is written
(y - y₁) = m (x - x₁)
point (2, -6) and m = -5
(y - -6) = -5 (x - 2)
y + 6 = -5x + 10
y = -5x + 4
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True or False
1 The total number of outcomes in tossing 3 fair coins is 6.
2 The totality of all outcomes is called an event.
3 Empty set of events is considered an event.
4 Sample Space is considered an event.
5 Empirical probability uses frequency to determine the probability.
6 The total number of outcomes in tossing a fair coin and rolling a die at the same time is 12
7 Weather forecasting is considered a subjective probability.
8 The probability of getting odd numbers in rolling a fair die is ⅓
9 If there are 18 students in a room. Where 5 of them are male then the probability of selecting male in a class is 5/18.
10 The probability of the sample space is always 1.
Answer:false
Step-by-step explanation:
Use point-slope form to write the equation of a line that passes through the point (−7,−4) with slope 10/7
The equation of the line that passes through the point (−7,−4) with slope 10/7 is y = (10/7)x + 6
The coordinates of the point = (-7, -4)
The slope of the line = 10/7
The slope intercept form is
y = mx + b
Where m is the slope of the line
b is the y intercept
The point slope form is
[tex]y-y_1=m(x-x_1)[/tex]
Where [tex](x_1,y_1)[/tex] is the coordinates of the point
Substitute the values in the equation
y -(-4) = 10/7(x - (-7))
y + 4 = (10/7)(x + 7)
Convert to slope intercept form
y +4 = (10/7)x + 10
y = (10/7)x + 10 - 4
y = (10/7)x + 6
Hence, the equation of the line that passes through the point (−7,−4) with slope 10/7 is y = (10/7)x + 6
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The large rectangle below represents one whole.
What percent is represented by the shaded area
The percent represented by the shaded area as in the task content is; 40%.
What percent of the whole is shaded?It follows from the task content that the percent of the whole that is shaded as in the task content be determined.
By observation, the whole is partitioned into 5 parts with 2 parts shaded.
Consequently, when expressed as a fraction; the shaded region is; 2 / 5 of the whole.
Ultimately, when expressed as a percentage, the shaded region is;
( 2 / 5 ) × 100% = 0.4 × 100%
= 40%.
Ultimately, the percent of the whole that is shaded is; 40%.
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Help please: 12+6x<24
Answer:
12+6x<24First by using inverse operations, subtract 12 on both sides.
12-12+6x<24-12Now it will become
6x<12Now divide 6 to isolate x
6x÷6<12÷6Hence, the answer is
X<2Isosceles triangle JKL has a perimeter of 36 units and the given vertices.
J (-3, -9)
K (-3, 7)
L (X, -1)
What is the possible x-coordinate for point L?
Based on the perimeter of this isosceles triangle, the possible x-coordinate for point L is either -16.85 or 10.85.
How to determine the possible x-coordinate for point L?In Mathematics, the perimeter of an isosceles triangle can be determined by summing up all of its side lengths that encloses. Mathematically, the perimeter of isosceles triangle JKL is given by this mathematical expression:
Perimeter, P = JK + JL+ KL
36 = JK + JL+ KL
Next, we would determine the distance between each vertices by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance JK = √[(-3 - (-3))² + (-9 - 7)²]
Distance JK = √0 + 256
Distance JK = √256
Distance JK = 16
Distance JL = √[(-9 - (-1))² + (-3 - x)²]
Distance JL = √8² + (-3 - x)²
Distance JL = √64 + (-3 - x)²
Distance KL = √[(7 - (-1))² + (-3 - x)²]
Distance KL = √8² + (-3 - x)²
Distance KL = √64 + (-3 - x)²
Note: Side JK is equal to side KL as an isosceles triangle.
From the perimeter of this isosceles triangle, we have:
36 = JK + JL+ KL
36 = 16 + JL+ JL
2JL = 20
JL = 10 units.
Now, we can determine the possible x-coordinate for point L:
256 = 64 + (-3 - x)²
256 - 64 = (-3 - x)²
192 = (-3 - x)²
13.85 = -3 - x
x = -3 ± 13.85
x = (-3 - 13.85) or (-3 + 13.85)
x = -16.85 or 10.85
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A rectangle has side links of 3X +6 inches and 2X -4 inches right in expression to represent perimeter of the rectangle then find the perimeter if X equals 9
Answer:
ez hi
Step-by-step explanation:
ez
Consider the following scenario.
the three-number bet
(a) Find the expected value of each $1 bet in roulette. (Round your answer to three decimal places.)
dollars
(b) Interpret it. (Round your answer to one decimal place.)
Over time, you should expect to lose about
cents for every dollar you bet.
a) The expected value of each $1 bet in roulette is of: -$0.988.
b) The interpretation is given as follows: Over time, you should expect to lose about 999 cents for every dollar you bet.
How to obtain the expected value of a discrete distribution?The expected value of a discrete distribution is obtained as the sum of each outcome multiplied by it's respective probability.
The three-number bet is when one sequence of three numbers has to be correctly chosen, hence the probability of winning is of:
p = 1/(10³) = 1/1000.
(as there is only one correct sequence, and for each number, there are 10 outcomes).
The payout is given as follows:
11:1.
That is, if you win, you earn 11 times the amount you bet.
Considering a bet of $1, the distribution of earnings is given as follows:
P(X = 11) = 1/1000.P(X = -1) = 999/1000.Hence the expected value of the bet is:
E(X) = 11/1000 - 999/1000 = -$0.988.
Which is the amount you are expected to lose for every dollar you bet.
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Ms. McCool asked Zina to write 5 numbers whose average is 85. Zina immediately wrote
83, 84, 85, 86, and 87. How did she know what to write?
To find the set of numbers with a given mean we can assume them as consecutive terms, Zina did the same thing.
Mean of data:Mean or Arithmetic mean is the average of the given set of numbers. It is also denoted as the equal distribution of values for a given data. To calculate the mean of data, we can use the following formula
Mean/Average = Sum of observations ÷ Number of observations
Here we have
The average of 5 numbers is 85
Let's assume that the 5 numbers are 5 consecutive numbers and the five numbers are x, x+1, x+2, x+3, x+4, and x+5 [ for simple calculations ]
Average of 5 numbers = Sum of numbers / 5
⇒ 85 = (x+ x+ 1 + x+2 + x+3 + x+4 ) /5
⇒ 425 = 5x + 10
⇒ 5x = 415
⇒ x = 83
Then the 5 numbers are 83, 84, 85, 86, and 87
Therefore,
To find the set of numbers with a given mean we can assume them as consecutive terms and we can calculate the mean, Zina did the same thing.
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iply Mixed Numbers What is the product of 1 and 12
Answer: 12
Step-by-step explanation: When multiplying (in this case finding a product,) by one, the number you are multiplying will always be the answer.
Convert each mixed number to a fraction greater than one, or each fraction greater than one to a mixed number 5 3/11