Answer:
A) I) 49 teams
II)63 teams
B) 28 teams
Step-by-step explanation:
A) a team of 5 boys and 6 Girls
=7C5+ 8C6
= 21+28
= 49 teams
a team of 6 boys and 5 girls
= 7C6 + 8C5
= 7+56
= 63 teams
B) one girl is kept constant already and a guy has injury
Girls remaining to choose from 7
Boys remaining to choose from 6
= 1 +7C5 + 6C5
= 1+21+6
= 28 teams
Determine the total annual FICA tax for an annual salary of $38,480 A $294.37 B $717.96 C $2,385.76 D $2,943.72
Answer:
D
Step-by-step explanation:
The total annual FICA tax for an annual salary of $38,480 is D $2,943.72.
FICA tax comprise of Social security tax + Medicare tax
Where:
Social security tax=6.2%Medicare tax=1.45%FICA tax =7.65%Hence:
FICA tax=($38,480×6.2%)+($38,480×1.45%)
FICA tax=$2,385.76+$557.96
FICA tax= $2,943.72
Inconclusion the total annual FICA tax for an annual salary of $38,480 is D $2,943.72.
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Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?
Answer:
6/36 (16.667%)
Step-by-step explanation:
Answer:
5/36
Step-by-step explanation:
Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence interval of when estimating the mean height (in centimeters) of a sample of seedlings. The estimated margin of error is nothing. The sample mean is nothing.
Complete Question
A biologist reports a confidence interval of (3.5,4.9) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of error and the sample mean?
Answer:
The margin of error is [tex]E = 0.7[/tex]
The sample mean is [tex]\= x = 4.2[/tex]
Step-by-step explanation:
from the question we are told that
The upper limit is [tex]k = 4.9[/tex]
The lower limit is [tex]r = 3.5[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{k - r}{ 2}[/tex]
[tex]E = \frac{ 4.9 - 3.5 }{2}[/tex]
[tex]E = 0.7[/tex]
Generally the sample mean is mathematically evaluated as
[tex]\= x = k - E[/tex]
=> [tex]\= x = 4.9 - 0.7[/tex]
=> [tex]\= x = 4.2[/tex]
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested. H0: σ = 8.6 H1: σ < 8.6
Answer:
Test is Left tailed test
Parameter tested is standard deviation
Step-by-step explanation:
We are given the hypothesis as;
Null hypothesis; H0: σ = 8.6
Alternative hypothesis; H1: σ < 8.6
Where;σ is a constant generally known in statistics as the standard deviation.
Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.
Alternative hypothesis says σ < 8.6.
This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.
Thus, it's a left tailed test
Estimate the value of each each expression to the nearest integer
Answer:
Step-by-step explanation:
14. 2
15. 3
16. -5
17. -11
I need help ASAP. I need help can someone explain and can anyone tell me the answer please . I’ll give u anything u want
=====================================================
Explanation:
The domain is the set of all real numbers. This is because the graph goes on forever to the left and right. We can use any x value we want as an input. There are no restrictions to worry about such as to prevent dividing by zero errors.
To say "all real numbers" in interval notation, we write [tex](-\infty, \infty)[/tex] which is another way of saying [tex]-\infty < x < \infty[/tex]
-------------------
The range in interval notation is [tex][3, \infty)[/tex] since y = 3 is the smallest y output possible, and we could have larger y values as well. So basically [tex]y \ge 3[/tex] can be used to describe the range without saying much else.
Note the use of a square bracket to include 3 as part of the interval.
-------------------
There are no x intercepts because this graph does not cross the x axis. The lowest point is at (-2,3) so there's no way we could reach y = 0. Put another way, y = 0 is not part of the range so we cannot have any x intercepts.
There is one y intercept and it is at (0,7) where the graph crosses the y axis. For any function, the max number of y intercepts is 1.
-------------------
When it says "interval positive", its asking "which part(s) of the graph are above the x axis?". That would be the entire graph meaning we have the interval [tex](-\infty, \infty)[/tex]. Every point on this V shaped curve is of the form (x,y) where y is positive.
So this means that we do not have any points with a negative y value, and therefore the answer to "interval negative" is none.
-------------------
Now onto the "interval increasing". This is similar to the previous section, but now we're looking when the graph is going uphill as we read from left to right. This happens on the interval [tex](-2, \infty)[/tex] or put another way when x > -2.
The graph goes downhill whenever x < -2. So that's why the answer for the "interval decreasing" is [tex](-\infty, -2)[/tex]
-------------------
Note the points (-2,3) and (0,7) are on the V shaped graph. These points have x coordinates of x = -2 and x = 0, which are the endpoints of the interval we're focusing on.
Compute the slope of the line through those two points
m = (y2-y1)/(x2-x1)
m = (7-3)/(0-(-2))
m = (7-3)/(0+2)
m = 4/2
m = 2
The positive slope means the line goes uphill as we read from left to right
The average rate of change on the interval [-2, 0] is the value 2
In other words, we go up 2 units each time we move to the right 1 unit.
What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? 20 32 44 48
Answer:
the answer is c: 44
hope it helps
:)
The value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8 is 44.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The equation form;
1/2m - 3/ 4n = 16
Substituting the value of n in the equation, we have;
½m - ¾n = 16
½m - (¾×8) = 16
½m - 6 = 16
½m = 16 + 6
½m = 22
m = 44
Hence, The value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8 is 44.
Learn more about linear equations;
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Will mark the brainliest!!!!
Answer:
options a is correct
4/7 likely
Probability = Favourable outcomes/ Total outcomes
All outcomes that we have are = 1,2,3,4,5,6,7,8
→ Total outcomes are 8 .
Favourable outcomes are = 1,3,5,7
→ Favourable outcomes are 4.
P(odd) = 4 divided by 8
→ P( odd) is 1/2 , 50% , equally likely.
So option 2nd is correct .
Find the value of z.
Answer:
C. [tex] z = 82 [/tex]
Step-by-step explanation:
To find z, find x first:
[tex] 105 = \frac{1}{2}(x + 120) [/tex] (angle of intersecting chord theorem)
Solve for x
[tex] 105*2 = \frac{1}{2}(x + 120)*2 [/tex]
[tex] 210 = x + 120 [/tex]
[tex] 210 - 120 = x + 120 - 120 [/tex]
[tex] 90 = x [/tex]
[tex] x = 90 [/tex]
Find z:
Full circle = 360°
Therefore,
[tex] x + z + 68 + 120 = 360 [/tex]
[tex] 90 + z + 68 + 120 = 360 [/tex]
[tex] z + 278 = 360 [/tex]
[tex] z + 278 - 278 = 360 - 278 [/tex]
[tex] z = 82 [/tex]
Which of the following sets are equal to {x | x < 9 and x >2}
Question 2 options:
{3, 4, 5, 6, 7, 8}
{2, 3, 4, 5, 6, 7, 8, 9}
{8, 7, 6, 5, 3}
{ }
{2, 3, 4, 5, 6, 7}
Answer:
{3, 4, 5, 6, 7, 8} and {8, 7, 6, 5, 3}
Step-by-step explanation:
The sets {3, 4, 5, 6, 7, 8} and {3, 4, 5, 6, 7, 8} will be constraint through {x | x < 9 and x >2} so option (A) and (C) will be correct.
What is an set?A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of the whole number like that.
Given the constraint
{x | x < 9 and x >2}
It means x should be greater than 2 and less than 9
So all possible values are
3,4,5,6,7,8
Now set associated with these number is {3, 4, 5, 6, 7, 8} and {8, 7, 6, 5, 3}.
Hence "The sets {3, 4, 5, 6, 7, 8} and {3, 4, 5, 6, 7, 8} will be constraint through {x | x < 9 and x >2}".
To learn more about the sets,
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Use the map below to find the distance between cities A and B to the nearest tenth.
Answer:
7.8
Step-by-step explanation:
Answer:
The answer is 3.6
Step-by-step explanation:
d=[tex]\sqrt{(2-0)^{2}+(3-0)^{2} }[/tex]
d=[tex]\sqrt{(2)^{2}+(3)^{2} }[/tex]
d=[tex]\sqrt{4+9}[/tex]
d=[tex]\sqrt{13}[/tex]
d=3.6
The domain and target set of functions f and g isR. The functions are definedas:(b)•f(x) = 2x+ 3•g(x) = 5x+ 7(a)f◦g?(b)g◦f?(c) (f◦g)−1?(d)f−1◦g−1?(e)g−1◦f−1?
Answer:
Step-by-step explanation:
Given the domain and target set of functions f and g expressed as;
f(x) = 2x+3 an g(x) = 5x+7 we are to find the following;
a) f◦g
f◦g = f[g(x)]
f[g(x)] = f[5x+7]
To get f(5x+7), we will replace the variable x in f(x) with 5x+7 as shown;
f(x) = 2x+3
f(5x+7) = 2(5x+7)+3
f(5x+7) = 10x+14+3
f(5x+7) = 10x+17
Hence f◦g = 10x+17
b) g◦f
g◦f = g[f(x)]
g[f(x)] = g[2x+3]
To get g(2x+3), we will replace the variable x in g(x) with 2x+3 as shown;
g(x) = 5x+7
g(2x+3) = 5(2x+3)+7
g(2x+3) = 10x+15+7
g(2x+3) = 10x+22
Hence g◦f = 10x+22
c) For (f◦g)−1 (inverse of (f◦g))
Given (f◦g) = 10x+17
To find the inverse, first we will replace (f◦g) with variable y to have;
y = 10x+17
Then we will interchange variable y for x:
x = 10y+17
We will then make y the subject of the formula;
10y = x-17
y = x-17/10
Hence the inverse of the function
(f◦g)−1 = (x-17)/10
d) For the function f−1◦g−1
We need to get the inverse of function f(x) and g(x) first.
For f-1(x):
Given f(x)= 2x+3
To find the inverse, first we will replace f(x) with variable y to have;
y = 2x+3
Then we will interchange variable y for x:
x = 2y+3
We will then make y the subject of the formula;
2y = x-3
y = x-3/2
Hence the inverse of the function
f-1(x) = (x-3)/2
For g-1(x):
Given g(x)= 5x+7
To find the inverse, first we will replace g(x) with variable y to have;
y = 5x+7
Then we will interchange variable y for x:
x = 5y+7
We will then make y the subject of the formula;
5y = x-7
y = x-7/5
Hence the inverse of the function
g-1(x) = (x-7)/5
Now to get )f−1◦g−1
f−1◦g−1 = f-1[g-1(x)]
f-1[g-1(x)] = f-1(x-7/5)
Since f-1(x) = x-3/2
f-1(x-7/5) = [(x-7/5)-3]/2
= [(x-7)-15/5]/2
= [(x-7-15)/5]/2
= [x-22/5]/2
= (x-22)/10
Hence f−1◦g−1 = (x-22)/10
e) For the composite function g−1◦f−1
g−1◦f−1 = g-1[f-1(x)]
g-1[f-1(x)] = g-1(x-3/2)
Since g-1(x) = x-7/5
g-1(x-3/2) = [(x-3/2)-7]/5
= [(x-3)-14)/2]/5
= [(x-17)/2]/5
= x-17/10
Hence g-1◦f-1 = (x-17)/10
please help me i will mark brainliest
Answer:
see below
Step-by-step explanation:
The cube of something to the 1/3 power is the original something. The cube of a cube root of something is the original something. Since the cube of a cube root is the same as the cube of a 1/3 power, the 1/3 power is equivalent to the cube root.
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
If LN=3+8x, find LN
L•——–8•——M——6x-1——–•N
Answer:
Value of LN = 19 units
Step-by-step explanation:
Given:
LN = 3 + 8x
Find:
Value of LN
Computation:
We know that LM + MN = LN
So,
8 + 6x - 1 = LN
So,
3 + 8x = 8 + 6x - 1
3 + 8x = 7 + 6x
8x - 6x = 7 - 3
2x = 4
x = 2
So,
LN = 3 + 8x
LN = 3 + 8(2)
LN = 3 + 16
LN = 19
Value of LN = 19 units
Suppose an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation?
Question:
Approximately 30% of the calls to an airline reservation phone line result in a reservation being made. Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation?
Answer:
[tex]Probability = 0.028[/tex]
Step-by-step explanation:
Given
Represent probability of reservation with p and Number of calls with n
[tex]n= 10[/tex]
[tex]p = 30\%[/tex]
First, we need to convert p to decimal
[tex]p = \frac{30}{100}[/tex]
[tex]p = 0.30[/tex]
In probability; opposite probability add up to 1;
In other words,
[tex]p + q = 1[/tex]
Where q represents probability of no reservation
Substitute 0.30 for p
[tex]0.30 + q = 1[/tex]
[tex]q = 1 - 0.30[/tex]
[tex]q = 0.70[/tex]
The probability that out of the 10 calls, no reservation is made is calculated as;
[tex]Probability = q^n[/tex]
[tex]Probability = 0.70^{10}[/tex]
[tex]Probability = 0.0282475249[/tex]
[tex]Probability = 0.028[/tex] (Approximated)
Number #7 please I need help on it
5/8 dived by 3/5
Help please
Answer:
5/6
Step-by-step explanation:
you must flip 3 over 5 and multiply
Select the correct answer.
Terrell is moving boxes in a freight elevator. Each box weighs about 25 pounds. For safety reasons, a maximum of 600 pounds can be on
the elevator at one time, including Terrell and his equipment at a total of 225 pounds.
Which graph represents the number of boxes Terrell can load into the freight elevator at one time?
Answer:
The third one
Step-by-step explanation:
600-225 (the weight of Terrell and his equipment)
=375
375/25(weight of each box)
=15
the circle is close because it can be exactly 15 or or less.
Answer:
actually is 2
Step-by-step explanation:
its not 1 or 3, its 2 I did clicked 3 got it wrong then I clicked one and got it wrong, its 2
Find the length of UW(with a line over it) if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.
Please explain as well.
Answer:
8.9 is the answer i just took the test
johnny makes $8.25 an hour working at the local restaurant his paycheck shows that he works 29.5 hours for the past week how much did Johnny make not rounded to the nearest cent A: $232.125 B: $243.375 C: $247.525 D: $248.625 NEED ANSWERS ASAP
Answer:
$243.375
Step-by-step explanation:
multiply 8.25 by 29.5
in a right angle triangle h is 24 . perimeter 45. find both side
Answer:
The length of each side is 10.5
Step-by-step explanation:
If you mean h as in the hypotenuse:
perimeter= 45 side h= 24 find x
45 - 24 = 2x
21 = 2x
/2 /2
10.5 = x
Is (5,2) a solution of the graphed system of inequalities
Answer:
yes
Step-by-step explanation:
Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x). Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Answer:
Your coordinates would be:
(1,8) (1,5) (5,8)
Hope this helps!
Answer:
Actually its (1,8) (1,5) (6,8)
Step-by-step explanation:
The red part is incorrect, the orange is the correct one. I got it wrong.
find the measure of angle C in the parallelogram. Round your answer to the nearest degree
Answer:
75°
Step-by-step explanation:
In a parallelogram, any two adjacent angles are supplementary. In other words, they total 180.
Angle D and Angle E are adjacent. Thus, they are supplementary. In other words:
[tex]\angle D +\angle E =180[/tex]
Substitute them for the equations:
[tex]7x+21+15+5x=180[/tex]
Combine like terms and add on the left:
[tex]12x+36=180[/tex]
Subtract 36 from both sides:
[tex]12x=144[/tex]
Divide both sides by 12:
[tex]x=12[/tex]
Thus, the value of x is 12.
Note that Angle D and Angle C are also adjacent. Thus, their angles also equal 180.
So:
[tex]\angle D+\angle C =180[/tex]
Substitute the equation for D:
[tex]7x+21+\angle C=180[/tex]
Plug in 12 for x:
[tex]7(12)+21+\angle C =180[/tex]
Simplify:
[tex]84+21+\angle C =180\\105+\angle C =180[/tex]
Subtract 105 from both sides:
[tex]\angle C =75\textdegree[/tex]
Thus, Angle C is 75 degrees.
Which graph represents the function p(x) = |x – 1|?
Answer:
it is this graph
Step-by-step explanation:
it is this graph
Answer:
B
Step-by-step explanation:
48+4^2+3/5
Help me it asks to evaluate
Answer:
325/3
Step-by-step explanation:
[tex]48+4^2+\frac{3}{5}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:48=\frac{48\cdot \:5}{5}\\\\=\frac{48\cdot \:5}{5}+\frac{3}{5}\\\\\mathrm{Since\:the\:denominators\:are\:equal,\\\\\:combine\:the\:fractions}:\\\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{48\cdot \:5+3}{5}\\\\48\cdot \:5+3=243\\\\=4^2+\frac{243}{5}\\\\=16+\frac{243}{5}\\\\=\frac{16\cdot \:5}{5}+\frac{243}{5}\\\\=\frac{16\cdot \:5+243}{5}\\\\16\cdot \:5+243=323\\\\=\frac{323}{5}[/tex]
Think of a problem dealing with two possibly related variables (Y and X) that you may be interested in. Share your problem and discuss why a regression analysis could be appropriate for this problem. Specifically, what statistical questions are you asking? Why would you want to predict the value of Y? What if you wanted to predict a value of Y that’s beyond the highest value of X (for example if X is time and you want to forecast Y in the future)?
Answer:
Explained below.
Step-by-step explanation:
Consider the variables height and weight.
It is usually seen that taller people are heavier than shorter people.
So a regression analysis can be used to specify this belief.
The statistical questions that are being asked here are:
What the independent and dependent variables?Are there any other factor influencing the dependent variable other than the independent variable?The variable Y is considered as the dependent variable and the variable Y is considered as the independent variable. And the main purpose of the regression analysis is to predict the value of Y when the value of X is given.
The linear regression model can be used to predict the past and future value of the dependent variables provided that the independent variables for those times are provided.
QUIZ 2: Learning about
The symbols used to enclose the elements of a set are called:
parenthesis
braces
commas.
Write the answer in standard form: (−5x^4 + 6x^3 − 43) + (6x^5 − x^2 + 12x + 12) Please Show work
Answer:
The answer in standard form to the given expression is 6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31
Step-by-step explanation:
(-5x⁴ + 6x³ - 43) + (6x⁵ - x² + 12x + 12)
Combine like terms. When the problem says to put the equation in standard form, it means that the terms will go in order from greatest to least exponential number.
6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31
Translate (in terms of x) then solve the algebraic equation. When the sum of a number and 2 is subtracted from 13 the result is 8