If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.
Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.
Then the mean of the sample will be
[tex]\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i[/tex]
Then the table is given below.
Then we have
[tex]\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75[/tex]
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Can someone help me with this?
Answer:
B
Step-by-step explanation:
4x4= 8
10x10= 20
8+20= 28
5x2= 10
9x2= 18
10+18= 28
Answer:
[tex]4x + 10y = 28 \\ 5x + 9y = 28 \\ 10y = 28 - 4x \\ y = \frac{28 - 4x}{10} \\ y = 2.8 - 0.4x \\ 5x + 9(2.8 - 0.4x) = 28 \\ 25.2 - 3.6x + 5x = 28 \\ 1.4x = 2.8 \\ x = 2 \\ [/tex]
[tex]y = 2.8 - 0.4 \times 2 \\ y = 2[/tex]
B
At another park in Chicago, neighbors get together to plan a community garden. Plans for the community garden are shown below. celery tomatoes 6 yds spinach carrots watermelon 12 yds red peppers 8 yds a) The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points-1 point for each length calculation and 1 point for the total distance) *** 15 yds
Answer:
we can use the pythagorean theorem to each of those right triangles to find the lengths of the pathways
Step-by-step explanation:
for the spinach celery walkway,
d=[tex]\sqrt{6^{2}+8^{2}[/tex] = 10 yd
for each watermelon walkway,
d=[tex]\sqrt{8^{2}+12^{2}[/tex] = 14.42 yd
from the carrots red peppers walkway,
[tex]b^{2}+12^{2} = 15^{2}[/tex]
b=[tex]\sqrt{15^{2}-12^{2}[/tex]= 9yd
for each tomatoes walkway;
d=[tex]\sqrt{6^{2}+9^{2}[/tex] = 10.82 yd
so the total length of the walkway is = 10+14.42+15+10.82 = 50.24 yd
A line passes through the points (-4,8) and (3,-7). Answer all parts of the question. Part A: what is the slope of the line that passes through these points (-4,8) and (3,-7).
Answer: [tex]y=\frac{-15}{7}x-\frac{4}{7}[/tex]
Slope: -15/7
y-int:-4/7
Step-by-step explanation:
slope: rise/run
[tex]\frac{x^2-x^1}{y^2-y^1}[/tex]
[tex]\frac{-7-8}{-4-3}=\frac{-15}{-7} =\frac{-15}{7}[/tex]
thats the answer :)
~rere
A 30-foot ramp is used to move product to a loading dock. The ramp makes a 24° angle with the horizontal. The ramp is to be replaced with a ramp that is 50 feet long. What angle does this replacement ramp make with the horizontal? Round your answer to the nearest tenth of a degree.
Check the picture below.
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{30\cdot sin(24^o)}}{\underset{hypotenuse}{50}}\implies sin^{-1}[sin(\theta )]=sin^{-1}\left[ \cfrac{30\cdot sin(24^o)}{50} \right] \\\\\\ \theta =sin^{-1}\left[ \cfrac{30\cdot sin(24^o)}{50} \right]\implies \theta \approx 14.1^o[/tex]
The value of angle does this replacement ramp make with the horizontal is,
⇒ θ = 14.1°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
A 30-foot ramp is used to move product to a loading dock.
The ramp makes a 24° angle with the horizontal.
And, The ramp is to be replaced with a ramp that is 50 feet long.
Hence, By given figure;
We have;
⇒ sin θ = 30 × sin 24° / 50
⇒ θ = sin ⁻¹ (30 × sin 24° / 50)
⇒ θ = 14.1°
Thus, The value of angle does this replacement ramp make with the horizontal is,
⇒ θ = 14.1°
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Figure ABCD is a parallelogram.What are the lengths of line segments AB and BC?
Answer:
I need an image
Step-by-step explanation:
Answer:CPCTC
Step-by-step explanation:
6. AB ≅ CD Corresponding Parts of Congruent triangles are Congruent(CPCTC)
Hope it helps:)
How to simplify the problem in the photo?
Answer:
2^3 a^5 b^4
4b^2 c^3
2^(3-2) a^5 b^(4-2)
c^3
2a^5 b^2
2a^5 b^2 c^3
You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $858. This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $867. How much money did you invest in each fund?
The amount that was invested in the first fund is $8300.
The amount that was invested in the second fund is 3700.
What are the linear equations that represent the question?0.09a + 0.03b = $858 equation 1
0.1a + 0.01b = $867 equation 2
Where:
a = amount invested in the first fund b = amount invested in the second fund How much was invested in the second fund?Multiply equation 2 by 0.9:
0.09a + 0.009b = 780.30 equation 3
Subtract equation 1 from equation 3
0.021b = 77.70
Divide both sides by 0.021
b = $3700
How much was invested in the first fund?
Substitute for b in equation 1: 0.09a + 0.03(3700) = $858
0.09a + 111 = 858
a = (858 - 111) / 0.09
a = $8300
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Hey! pls help me with this question on angles. would really be appreciated. have a nice day.
Using supplementary angles, it is found that the measures of the angles are given as follows:
m<a = 30º.m<b = 90º.What are supplementary angles?Supplementary angles are two angles whose sum is of 180º.
An interior angle is supplementary with it's exterior angle, hence:
m<a + 150º = 180º -> m<a = 30º.
The sum of the three interior angles of a triangle is of 180º, hence:
30º + m<b + 60º = 180º
90º + m<b = 180º
m<b = 90º.
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How do the values compare? Order the values from least to greatest.
|1 1/4|
|-1 3/4|
3/4
-2 1/4
-1 1/4
|-2 1/4|
Answer:
see below
Step-by-step explanation:
For absolute values | x | just drop the sign of the number and make it positive
example : | -3| = 3
so for this Q
-2 1/4 - 1 1/4 3/4 1 1/4 1 3/4 2 1/4
Hi Guys I'm stuck on this question
write x^2-4x+2 in the form (x-A)^2+B
Answer:
(x-2)^2-2
Step-by-step explanation:
x^2-4x+2
take the x out
x(x-4) + 2
(x-2)^2-2
because (x-2)^2 is
x^2-4x+4
its like completing the square
Answer:
(x-2)² -2
Step-by-step explanation:
Consider that (a+b)² = a²+2ab+b²
To find the form (x-A)²+B compare x²-4x+2 with a²+2ab+b²
x² - 4x +2
a² + 2 a b+ b², so a= x and b = (-2)
x²+ 2· x ·(-2)+ (-2)² - 2 = (x-2)² -2 is in the form (x-A)²+B
Check our answer:
(x-2)² -2= (x²-2·2x+4)-2 = x²-4x +2 ✅
PLEASE HELP ME FOR BRAINLIEST
Answer: The answer is d
Step-by-step explanation:
let f(x) = x-3 and g(x) =x^2 find f(g(4))
Answer:
f(g(4)) = 13.
Step-by-step explanation:
g(4) = 4^2 = 16
so f(g(4)) = f(16)
= 16 - 3
= 13.
What is the common difference if the arithmetic sequence below? -5,-1,3,7…..
Answer:
4
Step-by-step explanation:
-1 - (-5) = 4
3 - (-1) = 4
7 - 3 = 4
Make up a question that you need to use 6 fractions to solve! It needs to involve subtraction. It can involve addition too.
Answer:
6/4-3/2(12/8+27/4)9/8x30/12=
Find F Write your answer in simplest radical form.
Answer:
f= 5.2 or 3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Cot(60) = 3/f
0.58 =3/f
0.58f = 3
f= 5.2 or 3[tex]\sqrt{3}[/tex]
At the school track meet, Dita ran 100 meters at a rate of 6.25 meters per second.
Time = StartFraction distance Over rate EndFraction
How long did it take Dita to finish the race?
16 seconds
93.75 seconds
106.25 seconds
625 seconds
original equation
[tex]v=\frac{d}{t}[/tex]
solve for t
[tex]t=\frac{d}{v}\\\\t=\frac{100}{6.25} \\\\t=16[/tex]
It took Dita 16 seconds to finish the race
Answer:
a
Step-by-step explanation:
aaaaaaa
its a
16 seconds
125% of what number is 45?
Answer:
36
Step-by-step explanation:
125%*x=45
125%x=45
x=36
This figure represents a small keepsake box. Holly wants to cover 35 of the surface with stickers.
How much of the total surface will be covered with stickers?
Enter your answer as a decimal or mixed number in simplest form in the box.
The amount of the surface area covered with stickers is 0.6 or 60%
How to determine the covered area?The amount of area to cover is given as:
Covered area = 3/5
Express as percentage
Covered area = 3/5 * 100%
Divide 3 by 5
Covered area = 0.6 * 100%
Evaluate the product
Covered area = 60%
Hence, the amount of the surface area covered with stickers is 0.6 or 60%
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Answer:
135.93
Step-by-step explanation:
I took the test
Which number is equal to 4/2?
The number that is equal to [tex]\frac{4}{2}[/tex] is 2
How to find the number that is equal to 2
When you ask "What is 4/2 as a whole number?" you are asking to convert the fraction [tex]\frac{4}{2}[/tex] to a whole number.
The fraction [tex]\frac{4}{2}[/tex] has a numerator of [tex]4[/tex] and a denominator of [tex]2[/tex]. To convert [tex]\frac{4}{2}[/tex] to a whole number, you simply divide the numerator by the denominator.
Given that:
[tex]\frac{4/2=2}{2/2=1} =\frac{2}{1}=2[/tex]
Therefore, The number that is equal to [tex]\frac{4}{2}[/tex] is 2
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How do I do the math here? I am not sure how to set it up with having only one angle to work with.
Answer:
angle A = 112 degrees
Step-by-step explanation:
Angle ADC is bisected (given) ...so angle 1 = angle 2
then angle D = 68 degrees
now you have to remember that adjacent corners (angles on the same LEG) of a trapezoid sum to 180 (they are 'supplementary' )
angle A = 180 - 68 = 112 degrees
Manny buys a new grill that costs $375. The grill is discounted 22% and sales tax is 6.5%. How much does Manny pay for the grill? ( NEED HELP ASAP!!)
Answer:
$310.05
Step-by-step explanation:
Method 1: Find the amount of 22% discount and subtract from original price, and find the amount of 6% tax and add to discounted price.
Original price: $375
Discount of 22%
22% of $375 = 0.22 × $375 = $82.50
Price after discount (but before tax): $375 - $82.50 = $292.50
Sales tax of 6%
6% of $292.50 = 0.06 × $292.50 = $17.55
Price after discount and tax: $292.50 + $17.55 = $310.05
Method 2: Add and subtract the discount percent and the tax percent first, then multiply.
Original price: $375
The discount is 22%.
The original price is 100%.
Subtract 22% from 100%: 100% - 22% = 78%
The discounted price is 78% of the original price.
Once you have the discounted price, tax is 6%.
The new discounted price is 100%. Add 6% to get 106%.
The price with tax is 106% of the discounted price.
106% of 78% of $375 = 1.06 × 0.78 × $375 = $310.05
Answer: $310.05
Urgent help!!!
Write equation in slope intercept form.
1.25 (25) = 31.25
The equation in slope intercept form is,[tex]31.25 = 1.25 \times 25 +0[/tex]. The given equation is obtained by comparing the standard equation of the straight line.
What is a slope of a straight line?
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The given equation is;
1.25 (25) = 31.25
31.25=1.25 (25)
The standard equation of the slope intercept form. is;
[tex]\rm y = mx +x[/tex]
On comparing the given equation with the above equation, we get;
y=31.25
m=1.25
x=25
c=0
The equation in slope intercept form is;
[tex]31.25 = 1.25 \times 25 +0[/tex]
Hence, the above equation is the slope intercept form.
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Anthony's Muffin Shop recently sold 4 blackberry muffins and 6 other muffins. Considering this data, how many of the next 20 muffins sold would you expect to be blackberry muffins?
Answer:
there should be 8 blackberry muffins
Answer:
8 Black berry muffins
Step-by-step explanation:
Trust me
Need help! Need Urgent
The amount of paper that Lemon needs for the actual poster will be 8 square feet.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The dimension of the poster is 10 cm by 20 cm.
And the scale factor will be 5 cm is equal to 1 ft.
Then the dimension of the poster will be 2 ft by 4 ft.
Then the amount of the paper that Lemon needs for the actual poster will be
Area = 2 × 4
Area = 8 ft²
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how many liters each of a 50% acid solution and a 65% acid solution must be used to produce 60 liters of a 55% acid solution?
Answer:
178
Step-by-step explanation:
100 plus 78 equal s 179
6. Find the height of a triangle with a
base of 4 cm and a hypotenuse of
11 cm. Round to the nearest tenth
of a centimetre. Show your work..
Answer:
Hope the picture will help you..............
Area for 10 1/4 and 10 1/2
write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answering CORRECTLY thanks, 5 stars, and brainlist. Thank ya
The graph is showing the equation of circle x²+y²=4
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.
The equation will be as follows:-
x²+y²=4
Hence the graph is showing the equation of circle x²+y²=4
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Determine the equation of the line tha has an x-intercept of 4 and a y intercept of-3
Answer:
[tex]y=\frac{3}{4} x-3[/tex]
Step-by-step explanation:
Given information: x-int: 4 and y-int:-3
x-int point : (4,0).
y-int point : (0,-3).
Plug this information to point-slope form to solve for m and then convert that to slope-intercept form.
[tex]y-y_0=m(x-x_0)\\0-(-3)=m(4-0)\\3=4m\\m=\frac{3}{4} \\[/tex]
[tex]y-y_0=m(x-x_0)\\y-(-3)=\frac{3}{4} (x-0)\\y+3=\frac{3}{4}x\\y=\frac{3}{4}x-3[/tex]
Determine the percentage (%) of your total daily intake:
% kcal from carbs=
% kcal from fat=
% kcal of protein=
explain please
Answer & Step-by-step explanation:
USDA's Dietary Guidelines for Americans provide percent ranges for each macronutrient. For adults, the organization recommends consuming 10%–35% of calories from protein, 45%–65% from carbohydrates, and 20%–35% of calories from fat. They also suggest consuming less than 10% of total calories from saturated fat.