Answers
Answer:13,15A 14D
Step-by-step explanation:
\(x = 180 - 132 = 48\)°
which is answer D
Related Questions
n a group of 32 employees, 12 take public transit while 11 drive to work. 10 employees from this group are to be selected for a study. Note: Employees either only take the public transit, only drive to work, or do neither. How many different groups of 10 employees can be selected from the 32 employees? How many of the possible groups of 10 employees will: consist only of employees that either take public transit or drive to work? consist entirely of those that take public transit? consist entirely of those that drive to work? not include anyone that takes public transit? not include anyone that drives to work? consist of at least one person that takes public transit? consist of at least one person that drives to work? consist of 5 people that take the transit, and 5 that drive to work? consist of 4 people that take the transit, 3 that drive to work, and 3 that do neither?
Business Statistic
Answers
After considering the given data we conclude that the answer for the given sub question regarding combination are
a) the number of different groups of 10 employees that can be selected is 14,307,292
b) the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is 77
c) employees who take public transit is 66
d) employees who drive to work is 11
e) employees that do not include anyone who takes public transit is 184,756
f) employees that do not include anyone who drives to work is 352,716
g) employees that consist of at least one person who drives to work is 14,054,576
h) employees that consist of at least one person who drives to work is 14,054,576
i) employees that consist of 5 people who take public transit and 5 people who drive to work is 365,904
j) employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is 6,270,840
a) This is a combination problem, where the order of selection does not matter. The formula for the number of combinations of n objects taken r at a time is \(nCr = n! / (r! * (n-r)!)\), where n is the total number of objects and r is the number of objects being selected. In this case, there are 32 employees and we want to select 10 of them, so the number of different groups of 10 employees that can be selected is:
\(32C10 = 32! / (10! * (32-10)!) = 14,307,292\)
b) We can add the number of groups that consist only of employees who take public transit to the number of groups that consist only of employees who drive to work. To find the number of groups that consist only of employees who take public transit, we can choose 10 employees from the 12 who take public transit. Similarly, to find the number of groups that consist only of employees who drive to work, we can choose 10 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is:
\(12C10 + 11C10 = 66 + 11 = 77\)
c) We can choose 10 employees from the 12 who take public transit, so the number of possible groups of 10 employees that consist entirely of employees who take public transit is:
\(12C10 = 66\)
d) We can choose 10 employees from the 11 who drive to work, so the number of possible groups of 10 employees that consist entirely of employees who drive to work is:
\(11C10 = 11\)
e) We can choose 10 employees from the 20 who either drive to work or do neither, so the number of possible groups of 10 employees that do not include anyone who takes public transit is:
\((20C10) = 184,756\)
f) We can choose 10 employees from the 21 who either take public transit or do neither, so the number of possible groups of 10 employees that do not include anyone who drives to work is:
\((21C10) = 352,716\)
g) We can subtract the number of possible groups of 10 employees that do not include anyone who takes public transit from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who takes public transit is:
\(32C10 - 20C10 = 14,122,536\)
h) We can subtract the number of possible groups of 10 employees that do not include anyone who drives to work from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who drives to work is:
\(32C10 - 21C10 = 14,054,576\)
i) We can choose 5 employees from the 12 who take public transit and 5 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist of 5 people who take public transit and 5 people who drive to work is:
\(12C5 * 11C5 = 792 * 462 = 365,904\)
j) We can choose 4 employees from the 12 who take public transit, 3 employees from the 11 who drive to work, and 3 employees from the 9 who do neither. Therefore, the number of possible groups of 10 employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is:
\(12C4 * 11C3 * 9C3 = 495 * 165 * 84 = 6,270,840\)
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What type of angles are 4 and 5?
3/4
2/1
Same Side Interior
O Alternate Interior
O Alternate Exterior
O Corresponding
Answers
These two triangles are congruent. Which side of triangle PQR is the same length as AB?
RP or PR
QR or RQ
PQ or QP
Answers
Answer:
QR OR RQ
,,,,,,,,,,,,,,,,,
2 A taxi charges $2.50 per mile in addition to a $2
transportation fee. Identify your variables, then
write an equation to represent the total cost to
take a taxi cab.
pls help me
Answers
Jane's school is due west of her house and due south of her friend Norma's house. The distance between the school and Norma's house is 8 kilometers and the straight-line distance between Jane's house and Norma's house is 9 kilometers. How far is Jane's house from school? If necessary, round to the nearest tenth.
Answers
Answer
Distance = 4.1 km
Explanation
Let the distance between Jane's house from school be x
The distance can be calculated using pythagora's theorem
\(\begin{gathered} \text{Hypotenus}^2=opposite^2+adjacent^2 \\ \text{Hypotenus = 9km, opposite = 8km and adjacent = x km} \\ 9^2=8^2+x^2 \\ \text{Isolate x}^2 \\ 81=64+x^2 \\ \text{Collect the like terms} \\ 81-64=x^2 \\ 17=x^2 \\ \text{Take the square roots of both sides} \\ \text{x = }\sqrt[]{17} \\ \text{x = 4.1 km} \end{gathered}\)Therefore, the distance between Jane's house from school is 4.1 km
-3(3-8j) answer pls i need to make up my grade , what’s the answer?
Answers
Answer: if the j is supposed to be there, the answer is -9+24j. if the j is not there then just -9+24.
Step-by-step explanation: we distribute the -3 to the 3 and the -8. (-3x3=-9) and (-3x-8=24). when you multiply for divide by a single negative it is negative. when there are two negatives the answer will come out positive.
Use a graphing calculator to find the solutions of x3 + 5x2 – x – 7 = x2 + 6x + 3.
Answers
From the graph, the solution of the equation x³ + 5x² – x – 7 = x² + 6x + 3 is
x = -5, x = -1 and x = 2Find the graph in the attachment
What is a graph?A graph is a pictorial representation of a function.
To find the solution of the equation x³ + 5x² – x – 7 = x² + 6x + 3. by using a graphing calculator. We proceed as follows.
First, we simplift the expression.
x³ + 5x² – x – 7 = x² + 6x + 3
Subtracting x² from both sides, we have that
x³ + 5x² - x² - x - 7 = 6x + 3
x³ + 4x² - x - 7 = 6x + 3
Subtracting 6x from both sides, we have that
x³ + 4x² - x - 7 = 6x + 3
x³ + 4x² - x - 6x - 7 = 6x - 6x + 3
x³ + 4x² - 7x - 7 = 3
Subtracting 3 from both sides, we have that
x³ + 4x² - 7x - 7 - 3 = 3 - 3
x³ + 4x² - 7x - 10 = 0
So, the solution to this equation is the solution of the equation.
So, we plot the graph of x³ + 4x² - 7x - 10 = 0
From the graph, the solution is
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The graph of f(x) -3 -2 -3 is shown below. g(x) is a transformation of f(x).How would you write the equation for the function g(x)?005 10 15 20 25f) 3.2A. g(x) = 3.2 +2B. g(x) = 2* +3C. g(x) = 3.2*D. g(x)= 3.2+6
Answers
ANSWER
\(g(x)=3\cdot2^x+2\)EXPLANATION
We want to write the equation for the function g(x).
From the graph, we see that g(x) was moved 5 units upward from the parent function, f(x). In other words, f(x) was translated vertically upward to result in g(x).
When an exponential function is translated vertically, it changes as follows:
\(g(x)=f(x)+b\)when b > 0, it is an upward translation
when b < 0, it is a downward translation
Therefore, the equation for the function g(x) can be written as:
\(\begin{gathered} g(x)=3\cdot2^x-3+5^{} \\ \Rightarrow g(x)=3\cdot2^x+2 \end{gathered}\)find the values, exact answers.
Answers
Answer:
x=30
Step-by-step explanation:
180=2x+3x+x
180=6x
180÷6=6x÷6
30=x
which expression is equivalent to 3/4-2/5
15/20-8/20
8/9-6/9
3/20-2/20
3/9-2/9
Answers
Answer:
15/20-8/20
Step-by-step explanation:
3/4-2/5=0.35
15/20-8/20=0.35
It is equivalent.
Anna's babysitter charges $4.50 per hour. anna doesn't want to pay any more than $27. which inequality represents the number of hours, h, anna can have a babysitter?
Answers
For the standard normal random variable z, find z for each situation. If required, round your answers to two decimal places. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300)'
a. The area to the left of z is 0.1827. z =
b. The area between −z and z is 0.9830. z =
c. The area between −z and z is 0.2148. z =
d. The area to the left of z is 0.9997. z =
e. The area to the right of z is 0.6847. z=
Answers
The z-values for the given situations are approximate:
a. The area to the left of z is 0.1827. z = -0.90
b. The area between −z and z is 0.9830. z = 2.17
c. The area between −z and z is 0.2148. z = 0.85
d. The area to the left of z is 0.9997. z = 3.49
e. The area to the right of z is 0.6847. z= -0.48
a. For an area of 0.1827 to the left of z, the corresponding z-value can be found using a standard normal distribution table or a statistical calculator. The z-value is approximately -0.90.
b. To find the z-value for an area between -z and z equal to 0.9830, we need to find the value that corresponds to (1 - 0.9830)/2 = 0.0085 in the upper tail of the standard normal distribution. Using the table or calculator, the z-value is approximately 2.17.
c. Similarly, for an area between -z and z equal to 0.2148, we find the value that corresponds to (1 - 0.2148)/2 = 0.3926 in the upper tail. The z-value is approximately 0.85.
d. For an area of 0.9997 to the left of z, we find the value that corresponds to 0.9997 in the upper tail. The z-value is approximately 3.49.
e. To find the z-value for an area to the right of z equal to 0.6847, we find the value that corresponds to 1 - 0.6847 = 0.3153 in the upper tail. The z-value is approximately -0.48.
In summary, the z-values for the given situations are approximate:
a. -0.90
b. 2.17
c. 0.85
d. 3.49
e. -0.48
These values can be used to determine the corresponding percentiles or probabilities for the standard normal distribution. The values are typically found using standard normal distribution tables or statistical calculators that provide the cumulative probability distribution function (CDF) for the standard normal distribution.
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Task: Multiplying and Dividing Expressions
Watch the instructional videos Multiplying Polynomials - With Algebra Tiles and Dividing Polynomials - With Algebra Tiles and then complete the exercises below. Express your answer as both an expression and a tile figure.
Before you begin, note that:
A positive multiplied or divided by a positive equals a positive.
A positive multiplied or divided by a negative (or a negative times a positive) equals a negative.
A negative multiplied or divided by a negative equals a positive.
Part 1-3
1: (-2x)(x-3)
2: y^2 -y / y
3: (x2+6x+8)(x+2)
Answers
Find the probability that you roll the same number twice in a row when you toss two fair 6-sided dice.
Answers
Answer: 6/36
Step-by-step explanation:
When tossing two number cubes, you can get such sample space
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
There are 36 possible outcomes. Only (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6) use the same number twice.
Hence, the probability that you roll two numbers that are the same in a row is 6/36, or in simplified form, 1/6.
Hope that helps! :)
answer this 2 recieve my pts
Answers
Answer:
16
Step-by-step explanation:
Evaluate when a = 15:
2(a - 5) + 2
Answers
Answer:
22
Step-by-step explanation:
Just plug in
2(15 - 5) + 2 (Solve what's in the parenthesis)
2(10) + 2 (multiply 2*10)
20 + 2 (collect like terms)
22
The evaluation of the expression, 2(a - 5) + 2 when a = 15 is; 22
According to the question;
We are required to evaluate 2(a - 5) + 2. when a = 15.To evaluate 2(a - 5) + 2. when a = 15.
We have;
= 2(15 - 5) + 2= 2(10) + 2= 22.Read more;
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Line P parallel to side AB of triangle ABC, intersects AC and BC at points D and E, respectively. Find the area of triangle ABC if area of ABD=a and area of AEC=b
Answers
The area of triangle ABC if area of ABD = a and area of AEC = b is; (b + a) sq. units
What is the Area of the Triangle?The formula for the area of a triangle is;
Area = ¹/₂ × base × height
Thus;
Area of Triangle ADB is;
Area of ΔADB = ¹/₂ × AB * h_d
The area of the triangle AEB is;
Area of ΔAEB = ¹/₂ × AB * h_e
Due to the fact that AB and p are parallel lines, then it means we can say that; h_d = h_e
Therefore by substitution property, we can say that;
Area of ΔADB = Area of ΔAEB
Thus;
Area of Triangle ABC = Area of ΔADB + Area of ΔAEB = (b + a) sq. units
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A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
Answers
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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20 points!!
Riley needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $92 for parts. The total was $272. Which equation could be used to determine x, the cost of labor per hour?
A. 92x = 272 - 4
B. 272 - 92/4 = x
C. x = 92 - 272/4
D. 92x + 4 = 272
Answers
The equation could be used to determine x, the cost of labor per hour is
92x + 4 = 272. Option D
Which equation could be used to determine x, the cost of labor per hour?The equation reads as follows: 4x plus 77 equals 497, where 4x stands for the cost of labor per hour, 77 for the cost of the components, and 497 for the overall sum.
Generally, the equation for the expression is mathematically given as
4x + 92 = 272
4x + 92-92 = 272 - 92
4x = 180
x = 45
In conclusion, The equation could be used to determine x,
x = 45
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A(n) ___ expression is an expression that contains a radical symbol.
A.exponential
B.constant
C.polynomial
D.variable
F.radical
Answers
Answer:
radical
Step-by-step explanation:
Is this a function or not a function?
(6, 3) (5, 3) (4, 3) (3, 3)
Answers
suppose a test of significance desires to see if there is a difference in mean ssha scores between men and women. which is the appropriate alternative hypothesis?
Answers
The appropriate alternative hypothesis is the opposite of null hypothesis that there is a difference in mean SSHA scores between men and women.
The alternative hypothesis is the opposite of the null hypothesis, which is typically stated as there being no difference between the two groups. In this example, the null hypothesis is that there is no difference in mean SSHA scores between men and women. The alternative hypothesis is then that there is a difference in mean SSHA scores between men and women. This can be stated as "There is a difference in mean SSHA scores between men and women". This is the appropriate alternative hypothesis for this test of significance.
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Helppppppppppppppppppppppppppppp!!!!!!!!!
Answers
Answer:
1. Yes
2.i don't know sorry
3. no
4. no
Step-by-step explanation:
1. it is a terminating decimal
2. I don't know sorry
3.it is a repeating decimal
4.itis a repeating decimal
Find the distance between the pair of parallel lines with the given equations.
y=7
y=-3
Answers
The distance between the pair of parallel lines y = 7 and y = -3 is 10 units.
The pair of parallel lines with the given equations y = 7 and y = -3 are horizontal lines. To find the distance between these lines, we can calculate the vertical distance between any two points, one on each line. Let's take a point on the line y = 7, such as (0, 7), and a point on the line y = -3, such as (0, -3).
The vertical distance between these two points is the difference in their y-coordinates, which is 7 - (-3) = 10.
To find the distance between a pair of parallel lines, we can select any two points, one on each line, and calculate the vertical distance between them by subtracting their y-coordinates. In this case, the distance between the lines y = 7 and y = -3 is 10 units.
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The distance between the parallel lines is 10 units.
To find the distance between two parallel lines, we can consider the difference in their y-intercepts.
In this case, the given equations are y = 7 and y = -3.
Step 1: Identify the y-intercepts
The y-intercept is the point where the line crosses the y-axis.
For the equation y = 7, the y-intercept is (0, 7), while for the equation y = -3, the y-intercept is (0, -3).
Step 2: Calculate the difference in y-intercepts
To find the distance between the parallel lines, we need to calculate the difference between their y-intercepts.
In this case, the y-intercept for y = 7 is 7, and the y-intercept for y = -3 is -3.
The difference between these values is 7 - (-3) = 10.
Step 3: Interpret the result
The difference in y-intercepts is 10, which represents the vertical distance between the two parallel lines.
Therefore, the distance between the pair of parallel lines with the given equations y = 7 and y = -3 is 10 units.
In this case, the distance between the parallel lines is 10 units.
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Help me pls i dont understand this
Answers
Step-by-step explanation:
Notice that:
15x = 5 * 3x and 10y = 5 * 2y.
Since there is a common factor of 5,
we can take out the factor.
=> 15x + 10y = (5)(3x) + (5)(2y) = 5(3x + 2y).
There are 75 students enrolled in a camp. The day before the camp begins, 8% of the students cancel. How many students actually attend the camp?
Answers
Answer:
Answer=69
Step-by-step explanation:
8% of 75=6
75-6=69
I'll send you a pic of the equation
Answers
g(h(0)):
\(\begin{gathered} g\lbrack h(x)\rbrack=(x^2-1)+4 \\ g\lbrack h(0)\rbrack=0^2-1+4 \\ g\lbrack h(0)\rbrack=3 \end{gathered}\)answer: g[h(0)]=3
Grace was born on January 1, 2020. Thomas was born on December 31, 2018. How many days older is Thomas than Grace?
Answers
Answer:
I think it’s 730 days
Step-by-step explanation:
Step-by-step explanation: 2 years = 730 + the 10 months+ 740
2 The diagram shows a pyramid with base ABC. CD is perpendicular to both CA and CB. Angle CBD = 34° Angle ADB = 45° BC= 20 cm. 60° B 349 D 20 cin Angle DBA = 60° Calculate the size of the angle between the line AD and the plane ABC. Give your answer correct to 1 decimal place.
Answers
Where the above conditions are given, the size of the angle between the line AD and the plane ABC is 38.6°
What is the rationale for the above response?Angle is angle CAD in right-angled ΔCAD.
Find CD:
In ΔBCD, Tan34° = CD/20 ⇒ 20 Tan 34°
= 13.49cm
Find BD,
Cos 34° = 20/BD
BDCos34° = 20
BD = 20/Cos 34°
BD = 24.12cm
In ΔABD, find AD
AD/Sin 60 = BD/Sin (180-60-45)
⇒ AD = (24.12/Sin 75°) * Sin 60
= 21.63cm
Thus,
Sin (∠CAD) = CD/AD
∠CAD = Sin⁻¹ (13.49/21.63)
∠CAD = 38.6°
Thus, the size of the angle between the line AD and the plane ABC is 38.6°
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Full Question:
See attached image.
imming 3 feet below sea level. The number line shows the
location of the dolphin. It then dove down 6 feet. Describe how to use the
number line to find the new location of the dolphin.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
O A. On the number line, move 6 units to the right. End at 9. The dolphin
was 9 feet above sea level.
O B. On the number line, move 6 units to the left. End at -3. The dolphin
was 3 feet below sea level.
O C. On the number line, move 6 units to the left. End at -9. The dolphin
was 9 feet below sea level.
OD. On the number line, move 6 units to the right. End at 3. The dolphin
was 3 feet above sea level.
Answers
Answer:C
Step-by-step explanation: