The population mean income of the five families is their average income
The population mean income of the five families is #15.2
How to determine the population mean?The income of the five families in a thousand dollars is given as:
A 12 B 23 C 18 D 7 E 16
The population mean is then calculated as:
[tex]\mu = \frac{\sum x}n[/tex]
So, we have:
[tex]\mu = \frac{12 + 23 + 18 + 7 + 16}5[/tex]
Evaluate the sum
[tex]\mu = \frac{76}5[/tex]
Evaluate the quotient
[tex]\mu = 15.2[/tex]
Hence, the population mean income of the five families is #15.2 thousand
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thanks again everyone
Points are
(10,-8)(-5,-7)Slope:-
[tex]\\ \rm\rightarrowtail m=\dfrac{-7+8}{-5-10}[/tex]
[tex]\\ \rm\rightarrowtail m=-\dfrac{1}{15}[/tex]
3.6(5x4)divided 3+5.0=
Answer:
29 Hope this helps
Step-by-step explanation:
"Given expression is :
First we will simplify both numerator and denominator separately using order of operations. So....
Thus the expression.... "
-Sicista
What is the solution to the equation x2 = 16? Explain.
Answer:
x = ±4
Step-by-step explanation:
x^2 = 16
Take the square root of each side
sqrt(x^2) = ±sqrt(16)
x = ±4
Given the polynomial, f(x)= x³ + kx² - 2x + 1, and that f(x) is divided x-k the remainder is k, find the possible values of k.
Answer:
k=1
Step-by-step explanation:
According to the remainder Theorem, if we have a polynomial then if it divided by (x-a), the remained will be equal to
[tex]f(a)[/tex]
So we know that the factor is
[tex](x - k)[/tex]
So plug in k into the polynomial
[tex]f(k) = k {}^{3} + k(k) {}^{2} - 2(k) + 1 = k[/tex]
[tex]k {}^{3} + k {}^{3} - 2k + 1 = k[/tex]
[tex]2k {}^{3} - 3k + 1 = 0[/tex]
Solve for k.
Using Rational Roots Theorem, one possible root is 1 so we have
[tex]2k {}^{2} + 2k - 1 = 0[/tex]
Since that is irreducible over reals, 1 is our only factor so k=1.
∠A and ∠B are complementary. The measure of ∠A is 21°.
What is the measure of ∠B?
Enter your answer in the box.
<B be y
We know that complementary angles have sum 90°[tex]\\ \sf\longmapsto y+21=90[/tex]
[tex]\\ \sf\longmapsto y=90-21[/tex]
[tex]\\ \sf\longmapsto y=69°[/tex]
<A=69°
Answer:
The measure of ∠B is 69°
Step-by-step explanation:
Given :
=> ∠A + ∠B = 90°
=> 21° + ∠B = 90°
=> ∠B = 90°- 21°
=> ∠B = 69°
can someone help please
Answer:
I think it might be A, it seems most reasonable. I'm probably wrong tho
Step-by-step explanation:
Answer:
it is D
Step-by-step explanation:
just multiplay
Find the vertex of the graph of the function
f(x)= -2x^2-16x-34
Answer Choices:
-2,-4
-4,-2
3,5
5,3
Answer:
(-4,-2)
Step-by-step explanation:
Write a linear equation given the point and slope. (-7, 13); slope = -2
Answer:
y = -2x + 1
Step-by-step explanation:
The linear equation is generally written in y = mx + b form. Since m (the value of the slope) is already given, only the value of b must be determined. To do this, plug in x, y, and m for their values in the equation to get:
13 = -2 (-7) + b
Then, simplify.
13 = 14 + b
b = -1
Once you find the b value, plug everything back in and get y = -2x + 1.
joe has read 30% of a book. He has 56 more pages to finish. How many pages are there in the book?
Answer:
80 pages
Step-by-step explanation:
If Joe has read 30% and 56 pages is 70% of the book. We divide 56 by 7 and get 8 meaning that 10% of the book is 8. Once we know this we multiply 8 x 10 and get the amount of pages in the book 80
Answer:
There are 80 pages left.
Step-by-step explanation:
100% - 30% = 70%
70% = 56 pages
Insert x into a equation.
0.7x = 56
Multiply by 10 on both sides to get rid of the decimal.
0.7x = 56
· 10 ·10
Divide by 7 on both sides to get x by itself.
7x = 560
7
x = 80
A line passes through the point (-9,-6) and has a slope of -(2)/(3).
Answer:
[tex]\displaystyle y + 6 = -\frac{2}{3}(x + 9)[/tex]
Explanation:
In the Point-Slope formula, [tex]\displaystyle y - y_1 = m(x - x_1),[/tex]−C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with those minus symbols.
I am joyous to assist you at any time.
5. Which of the following best describes a negative linear association?*
A Variables have no relation to each other when plotted.
B As one variable increases so does the other
CA data set that includes both negative and positve numbers
D As one variable decreases, the other increases
D. As one variable decreases, the other increases.
A negative linear association means that as one variable decreases, the other variable increases. This indicates an inverse relationship between the two variables.
As the value of one variable decreases, the value of the other variable tends to increase consistently and vice versa. This pattern can be observed when plotting the data points on a scatter plot, where the points tend to form a downward sloping line.
Option A is incorrect because a negative linear association implies a clear relationship between the variables, unlike no relation. Option B is incorrect because it describes a positive linear association, where both variables increase together.
Option C is incorrect because the presence of both negative and positive numbers does not necessarily indicate a negative linear association. The key characteristic of a negative linear association is the inverse relationship between the variables as described in option D.
for such more question on variable
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Can someone help me with this real quick!
Answer:
519.50
Step-by-step explanation:
A = P [tex](1 + r)^{n}[/tex]
A = 300[tex](1 + .04)^{14}[/tex]
A = 300(1.7316764476)
A = 519.502934281
A = 519.50
Find the value of x in the figure below Assume that the lines are parallel
Answer: 15
Step-by-step explanation:
Volume with Fractional Length - Quiz. Level F
If the box holds 24 of these sugar cubes, what is
the total volume of the box?
24 in
12 in
6 in
3 in
Help help help help
Answer:
c; infinite solutions
Step-by-step explanation:
to solve this system of equations you can use elimination
you can divide all of the top by 2
you get
3x + y = 6
and then
-3x - y = -6
but then when you subtract them you get 0 = 0
this means it is infinite solutions
another way to tell that it is infinite solutions is by seeing if the equations are the same
-3x - y = -6 is just 3x + y = 6 but everything is multiplied by -1
Answer:
INFINITE SOLUTIONS
Step-by-step explanation:
So let's solve this system using elimination
we can convert the second equation to
-6x-2y = -12
6x+2y = 12
if we add these to equations we get 0 = 0
therefore, there are infinite solutions to this system
4,5,6,6,7,7,8,8,8,8,8,9,9
What is the mean and range of the number sequence?
Answer:
The mean is 7 and the range is 5
Step-by-step explanation:
To find the mean, just add up the scores and divide the total by the number of scores.
To find the range, subtract the lowest value from the highest value.
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Two sensors are spaced 700 feet apart along the approach to a small airport. When an aircraft is nearing the airport, the angle of elevation from the first sensor to the aircraft is 20°, and from the second sensor to the aircraft is 15°. Determine how high the aircraft is at this time.
Answer:
711 ft (nearest foot)
Step-by-step explanation:
Create two equations using trig ratios and the information given (refer to the attached diagram). Equate the equations and solve.
First equation
Let y = horizontal distance between sensor 1 and the aircraft
Let h = height of aircraft above the ground
Using the tangent trig ratio:
[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]
Given:
angle = 20°side opposite the angle = hside adjacent the angle = y[tex]\implies \mathsf{\tan(20)=\dfrac{h}{y}}[/tex]
Rearrange to make y the subject:
[tex]\implies \mathsf{y=\dfrac{h}{\tan(20)}}[/tex]
Second equation
Let y + 700 = horizontal distance between sensor 2 and the aircraft
Let h = height of aircraft above the ground
Using the tangent trig ratio:
[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]
Given:
angle = 15°side opposite the angle = hside adjacent the angle = y + 700[tex]\implies \mathsf{\tan(15)=\dfrac{h}{y+700}}[/tex]
Rearrange to make y the subject:
[tex]\implies \mathsf{y=\dfrac{h}{\tan(15)}-700}[/tex]
Now equate the 2 equations and solve for h:
[tex]\implies \mathsf{\dfrac{h}{\tan(20)}=\dfrac{h}{\tan(15)}-700}}[/tex]
[tex]\implies \mathsf{700=\dfrac{h}{\tan(15)}-\dfrac{h}{\tan(20)}}[/tex]
[tex]\implies \mathsf{700=\dfrac{h\tan(20)-h\tan(15)}{\tan(15)\tan(20)}}[/tex]
[tex]\implies \mathsf{700=\dfrac{\tan(20)-\tan(15)}{\tan(15)\tan(20)}h}[/tex]
[tex]\implies \mathsf{h=\dfrac{700\tan(15)\tan(20)}{\tan(20)-\tan(15)}}[/tex]
[tex]\implies \mathsf{h=710.9678247...}[/tex]
Therefore, the height of the aircraft is 711 ft (nearest foot)
Michael ran 450 miles this month preparing for a race. 40% of the miles
he ran were during bad weather. How many miles did he run during bad
weather?
Answer:
180 miles
Step-by-step explanation:
You must find 40% of 450 and you can make the of into an x (multiplication symbol) like so:
40% x 450
Now, percent's are fractions, and 100% is equal to one whole or 1. To make 40% a fraction, simply just place a decimal in front of the 4, like so:
.40 or 0.40 or 0.4 or .4
Now place that in the equation:
0.40 x 450
Solve:
450.00
x 0.40
___________
180.00
^
(!Important! !Always bring down the decimal in the exact place it was at in first place!)
Check:
180 = 40%
450 = 100%
(To get 450 you must multiply 100 by 4.5, therefore you multiply 40 by 4.5 to get 180)
Answer:
Michael ran 180 miles in bad weather.
Ms. Kim has 1 full class plus 8 extra students going on the field trip. if she has 40 students going on the field trip, how many students are there in her full class?
Answer:
32 students
Step-by-step explanation:
A set of high school student heights are normally distributed with a mean of 161 centimeters and a standard deviation of 15 centimeters. Mikio is a high school student with a height of 191 centimeters. What proportion of student heights are higher than Mikio's height?
Answer:
0.0228
Step-by-step explanation:
Trust <3 like fr I just did it on Khan
To make 5 pizzas, 1/2 cup of flour is used a. How much flour is needed to make one pizza? b.. How many cups of flour are needed to make 1 dozen pizzas? (1 dozen - 12) c. How many pizzas can you make with 5 2/3 cups of flour?
Answer:
for a single pizza 1/10 a cup
for 12 pizzas 1 1/5 a cup
you can make 56 pizzas with 5 2/3 cups.
Step-by-step explanation:
for 5 pizzas you need 1/2 cup of flour, so to find out how much you'll need for a single pizza you'll need to divide it with 5. 1/2÷5=1/10
for a dozen pizzas you'll need to multiply that with 12. 1/10x12=12/10=1 1/5
Then to find out how many can we make with 5 2/3 cups we'll divide it with that 1/10
56/10÷1/10= 56 pizzas
What is the measure of the unknown angle? n 120°
what is the y-intercept of f(x)=(1/3)^x
Answer:
1.
Step-by-step explanation:
To find the y-intercept of an equation, you substitute 0 for x in the function.
f(x)=(1/3)^x
f(x)=(1/3)^(0)
f(x)=1
Write an equation of the line that passes through (0, 5) and (−1.5, 1).
Answer:
y = 2.667x + 5
Nicholas sold pounds of shrimp in 4 hours. So, he sells shrimp at a rate of pounds of shrimp per hour. At this rate, he would sell pounds of shrimp in 9 hours.
WILL RECIEVE BRAINLIST
Answer:
9 pounds of shrimp will be sold in 9 hours i think.
i dont realy understand the way u wrote it but pls put brainliest
Answer:
yea i thik hes right
Step-by-step explanation:
Area and perimeter of the triangle
Your younger sibling can run 3/8 of a mile in 1/8 of an hour. How long will it take him to run one mile? How far could he run in one hour?
9514 1404 393
Answer:
1/3 hour per mile3 miles per hourStep-by-step explanation:
Time per mile can be found by dividing hours by miles:
(1/8 h)/(3/8 mi) = 1/3 h/mi
It will take him 1/3 hour to run 1 mile.
__
Miles per hour can be found by dividing miles by hours (or by finding the reciprocal of the above value):
(3/8 mi)/(1/8 h) = 3/1 mi/h = 3 mi/h
He could run 3 miles in one hour.
what is the value of 5/z when z =2?
Answer:
[tex]z = 2. \\ 5 \div z \\ 5 \div 2 \\ 2.5[/tex]
2.5 is the correct answer .Thank you ☺️☺️
what is 1365in Egyptian numeral
Answer:
I used an Egyptian numeral converter.
Step-by-step explanation:
6.1/5(12b+5) for b = 5/6
Answer:
Step-by-step explanation:
6.1 / 5 ( 12b + 5 )
b = 5/6
by substituting,
6.1 / 5 ( 12 × 5/6 + 5 )
1.22 × 15
= 18.3
Hope this helps
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