Answer:
In this case, the mass of the car and the force exerted on it are provided as information. Therefore, the acceleration of the car is 0.5 m s−2 when its engine exerts a force of 600 N
Step-by-step explanation:
BE is parallel to CD.
AE=6 cm, ED=4 cm, AB=4.5 cm, BE=4.8 cm.
Calculate the length of CD.
Answer:
CD = 8 cm
Step-by-step explanation:
Given
See attachment
[tex]AE=6 cm,\ ED=4 cm,\ AB=4.5 cm,\ BE=4.8 cm.[/tex]
Required
Find CD
To calculate CD, we first calculate BC using the following equivalent ratio
[tex]AB : BC = AE:ED[/tex]
Substitute values for AB, AE and ED
[tex]4.5 : BC = 6 : 4[/tex]
Express as fraction
[tex]\frac{4.5 }{ BC} = \frac{6 }{ 4}[/tex]
Cross Multiply
[tex]BC * 6 = 4.5 * 4[/tex]
[tex]BC * 6 = 18[/tex]
Divide through by 6
[tex]BC = 3[/tex]
To calculate CD,
We make use of the following equivalent ratio
[tex]AB : BE = AC : CD[/tex]
Where
[tex]AC = AB + BC[/tex]
[tex]AC = 4.5 + 3[/tex]
[tex]AC = 7.5[/tex]
So, we have:
[tex]AB : BE = AC : CD[/tex]
[tex]4.5 : 4.8 = 7.5 : CD[/tex]
Express as fraction
[tex]\frac{4.5 }{ 4.8 }= \frac{7.5 }{ CD}[/tex]
Cross Multiply
[tex]4.5 * CD = 7.5 * 4.8[/tex]
Divide through by 4.5
[tex]CD = \frac{7.5 * 4.8}{4.5}[/tex]
[tex]CD = \frac{36}{4.5}[/tex]
[tex]CD = 8[/tex]
The Wall Street Journal reported that the median salary for middle-level manager jobs was approximately $85,000 (The Wall Street Journal, August 6, 2013). Suppose that an independent study of middle-level managers employed at companies located in Atlanta, Georgia, was conducted to compare the salaries of managers working at firms in Atlanta to the national average. The following data show the salary, in thousands of dollars, for a 8. sample of 15 middle-level managers.
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
a. Compute the median salary for the sample of 15 middle-level managers. How does the median for this group compare to the median reported by The Wall Street Journal?
b. Compute the mean annual salary and discuss how and why it differs from the median a. b. computed in part (a).
c. Compute the first and third quartiles.
Answer:
Median = $80,000 ; Mean = $84,000 ; Q1 = 67,000 ; Q3 = 106,000
Step-by-step explanation:
Given the data :
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
Reorderd data :
53, 55, 63, 67, 73, 75, 77, 80, 83, 85, 93, 106, 108, 118, 124
The median salary:
1/2(n+1)th term
Sample size, n = 15
1/2 (15 + 1)th term
1/2(16)th term
8th term = 80
Median is $80,000
Median reported by Wall Street Journal approximately $85000
The obtained and reported values are close
The mean annual salary :
ΣX / n = 1260 / 15 = 84
Mean annual salary = $84,000
Mean is the average of all earnings combined, median is the mid value of he data.
First and third quartile :
Q1 = 1/4(n+1)th term
Q1 = 1/4(16)th term
Q1 = 4th term = 67
Third quartile:.
Q3 = 3/4(n+1)th term
Q3 = 3/4(16)th term
Q3 = 12th term = 106
Find the range of the function f(x) = 3x - 8
if the domain is {-4, 2, 7).
Answer:
f(-4)=3(-4)-8
f(-4)=-12-8
f(-4)=-20
f(2)=3(2)-8
f(2)=6-8
f(2)=-2
f(7)=3(7)-8
f(7)=21-8
f(7)=13
R=(-20, -2, 13)
The range of the function when f(x) = 3x - 8 and the domain is {-4, 2, 7) is (-20, -2, 13).
Calculation of the range:Since
f(-4)=3(-4)-8
f(-4)=-12-8
f(-4)=-20
Now
f(2)=3(2)-8
f(2)=6-8
f(2)=-2
Now
f(7)=3(7)-8
f(7)=21-8
f(7)=13
So,
R=(-20, -2, 13)
hence, The range of the function when f(x) = 3x - 8 and the domain is {-4, 2, 7) is (-20, -2, 13).
learn more about range here; https://brainly.com/question/13455383
Use the distributive property to write an equivalent expression for 28+14y (find the greatest common factor)
Claire created a pie chart to show how she spent her time on Monday. She spent 8 hours at school, 4 hours playing basketball, 2 hours doing homework, 8 hours sleeping, and 2 hours doing chores. Which statements describe how the pie chart will look? Select four options..
The pie chart will show that Claire spent about 33.3% of her time sleeping.
The pie chart will have five sections.
The pie chart will contain one section that represents 50% of her time.
Twenty-four hours will be equivalent to 100% in the pie chart.
The pie chart will have two sections that are each equal to one-third of the pie chart.
Answer:
Step-by-step explanation:
The pie chart will show that Claire spent about 33.3% of her time sleeping.
Pie chart will show that Claire spent about 33.3% of her time sleeping, The pie chart will have five sections, Twenty-four hours will be equivalent to 100% in the pie chart.
What is pie chart?The "pie chart," which divides the circular statistical graphic into sectors or sections to illustrate the numerical problems, is also known as a "circle chart." A proportionate portion of the total is denoted by each sector. At that point, the pie chart is the most effective method for determining something's composition.
Given 24 hours schedule of Clair in which,
school time is 8 hours, playing time is 4 hours, homework time is 2 hours, sleeping time is 8 hours and chores time is 2 hours.
if we calculate total time in percentage than 24 hours will be equal to 100%
and their will be 5 sections in chart,
equivalent time for school in percent is 100/24 x 8 =33.33%
equivalent time for sleeping in percent is 100/24 x 8 =33.33%
equivalent time for homework in percent is 100/24 x 2 = 8.33%
equivalent time for chores in percent is 100/24 x 2 = 8.33%
equivalent time for playing in percent is 100/24 x 4 = 16.66%
Hence the pie chart will have 5 sections and sleeping time will be 33.33%.
Learn more about pie chart;
https://brainly.com/question/24207368
#SPJ2
In a housing project there are 180 households in which English is usually spoken, 80 in which Spanish is usually spoken, and 40 in which the language is other than English or Spanish. A researcher approaches a house at random to conduct an interview. What is the chance that the usual language in that household will NOT be English
Answer:
The chance that the usual language in that household will NOT be English = 0.4
Step-by-step explanation:
As given ,
Total households in which languages spoken is English = 180
Total households in which languages spoken is Spanish = 80
Total households in which languages spoken is other than English or Spanish = 40
So,
Total households = 180 + 80 + 40 = 300
Now,
Household in which English language is not spoken = 80 + 40 = 120
So,
The chances that the usual language in that household will NOT be English = [tex]\frac{120}{300} = \frac{12}{30} = \frac{4}{10} = 0.4[/tex]
∴ we get
The chance that the usual language in that household will NOT be English = 0.4
2) A recent survey of 2625 elementary school children found that 28% of the children could be classified obese.
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 246.8 and a standard deviation of 67.2. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 179.6 and 314.0? b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4?
Answer:
a. 68%
b. 99.7%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 246.8
Standard deviation = 67.2
a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 179.6 and 314.0?
By the Empirical Rule, approximately 68%.
b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4?
45.2 = 246.8 - 3*67.2
448.4 = 246.8 + 3*67.2
Within 3 standard deviations of the mean, so approximately 99.7%.
write the equation of a circle with diameter endpoints of (-14,1) and (-10,9)
Answer:
[tex](x+12)^2+(y-5)^2=80[/tex]
Step-by-step explanation:
First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is [tex]\sqrt{4^2+8^2}=\sqrt{80}[/tex].
The equation of a circle with diameter endpoints of (-14,1) and (-10,9) are;
(x+1)²+(y-4)²=348.
What is the standard form of the equation of a circle?The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.
Find the distance AB
d=√[(9 + 14)²+(-10 - 1)²]
d=√[576+121]
d=√697 units
The diameter=√697 units
r=√697/2 unit
Thus, the center of the circle is (-1,4)
Hence, the equation of a circle
(x-h)²+(y-k)²=r²
(x+1)²+(y-4)²=(√697/2)²
(x+1)²+(y-4)²=348
Learn more about equations of circle at;
brainly.com/question/16039879
#SPJ3
help me do this please!!!
Answer:
Step-by-step explanation:
ok soo....
the area of the one like higher up would be 42
and then the area of the one like landscape would be 48
and then the area of like the box they make in the middle is 30
so ya i hope this helped
1/2+p=-3
Pleaseee help
Answer:
The answer is p= -7/2
Step-by-step explanation:
Move all terms not containing p to the right side of the equation.
Hoped this helped!
brainly, please?
need some help please
Answer:
A
Step-by-step explanation:
y= 6x
Plug and chug the function.
Need help with other math who’s gonna help me brainlest and points
Jason customizes and sells water bottles. He must sell each water bottle for more than $15 to make a profit.Which number line represents all the possible prices for which Jason could sell a water bottle and make profit?
Gold has a density of 19.3 g/mL. What is the mass of a 7.5 mL sample of gold?
Answer:
144.75 g
Step-by-step explanation:
19.3x7.5 = 144.75
Can some one please help me solve this inequality?
x − 3 ≤ 5 or x + 4 ≥ 14
Answer:
Just look down lol
Step-by-step explanation:
Anyways, what you would have to do on both sides is try to isolate x on each side, so for the first inequality, you would add 3 on both sides, x[tex]\leq[/tex]8, and for the other equation you would subtract 4 on both sides, so x[tex]\geq[/tex]10
I actually hope this helps
Jacob and Adam are selling pies for a school fundraiser. Customers can buy cherry pies and blackberry pies. Jacob sold 1 cherry pie and 1 blackberry pie for a total of $35. Adam sold 12 cherry pies and 9 blackberry pies for a total of $360. Find the cost each of one cherry pie and one blackberry pie. Write as an ordered pair. Ex: (cherry pie, blackberry pie)
Answer:
Step-by-step explanation:
c and b are the number of cherry and blackberry sold.
1c + 1b = 35
b = 35-c
12c + 9b = 360
12c + 9(35-c) = 360
3c = 45
c = 15
b = 35-c = 20
$15 for one cherry pie, $20 for one blackberry pie.
Graphing linear equation using a table [ x = - 1 ]
• • • • • • • • • • • • • • • • • • • • • • • • • • • •
(I only need help in filling the table, aswell as the slope and y-intercept, thanks! ^u^)
0
1
2
3
4
5
take x 1 so 1-1
2-1..........
simplify (-4/5)^9/(-4/5)^10
Answer:
- 5/4
Step-by-step explanation:
exact form:-5/4
decimal form:-1.25
mixed number form: -1 1/4
A Town plana to make a triangular park. The triangle has a base of 120 feet and a height of 115 feet. What will the area of the park be?
A. 13,800ft^2
B.27,600ft^2
C.6,900ft^2
D.6,612.5^2
Answer:
C. 6,900 ft^2
Step-by-step explanation:
Given the following data;
Base of triangle = 120 feet.
Height = 115 feet.
To find the area of triangle;
Area of triangle = ½*base*height
Area of triangle = ½*120*115
Area of triangle = 60*115
Area of triangle = 6900ft²
Therefore, the area of the park is 6900 square feet.
Write an equation of the line that passes through the given points.
(-2,5) and (3,0)
9514 1404 393
Answer:
y = -x +3
Step-by-step explanation:
The 2-point form of the equation of a line is useful when 2 points are given.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (0 -5)/(3 -(-2))(x -(-2)) +5
y = -5/5(x +2) +5
y = -x +3
Salim had a flock of 300 chickens 15% of which are infected with a virus he plans on taking a SRS of 7 chickens to test for the virus.
Answer:0.011
Step-by-step explanation:
The probability for exact 4 chickens being infected out of the 7 is ⁷C₄(0.15)⁴(0.85)³. The correct option is (A).
How to find probability using binomial distribution?The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.
In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.
Given that,
The probability of the infected chicken is 15%.
Which can be written as,
P(infected) = 15%
= 15/100
= 0.15
Then, the probability of not getting infected chicken is,
P(not infected) = 1 - 0.15
= 0.85
The total number of chicken for test = 7.
Now, in order to find the probability of the exact 4 infected chickens, binomial distribution can be used as.
The general expression for binomial distribution is ⁿCₓpˣqⁿ⁻ˣ.
For the given case p = P(infected) and q = P(not infected), n = 7 and x = 4.
Thus, the probability is given as,
P(Exact 4 are infected) = ⁷C₄(0.15)⁴(0.85)³
Hence, the probability that exactly 4 of the 7 chickens sampled have the virus is ⁷C₄(0.15)⁴(0.85)³.
To know more about binomial distribution click on,
https://brainly.com/question/14565246
#SPJ2
The complete question is given as, "Salim has flock of 300 chickens, 15% of which are infected with virus: He plans on taking an SRS of 7 chickens to test for the virus_ Which of the following would find the probability that exactly 4 of the 7 chickens sampled have the virus? Choose answer: 1(0.15) '(0.85)? (0.15)*(0.85)4 300 ` (0.15)'(0.85)3 (0.15)3(0.85)4 (0.15)4(0.85)".
A granular substance such as sand naturally settles into a cone-shaped pile when poured from a small aperture. Its height depends on the humidity and adhesion between granules. The angle of elevation of a pile, θ, is called the angle of repose. If the height of a pile of sand is 15 feet and its diameter is approximately 52 feet, determine the angle of repose. Round answer to nearest degree.
Answer:
The angle of elevation of the pile is 30°
Step-by-step explanation:
Given that;
Height = 15 ft
Diameter = 52 ft
so radius r = D/2 = 52/2 = 26 ft
Now, to get the angle of elevation.
given the details in the question,
we can say; the given height is the opposite which is 15 ft.
Also the radius is adjacent which is 26 ft
using SOH CAH TOA
TOA; Tan = Opposite / Adjacent
so
tan∅ = 15 ft / 26 ft
tan∅ = 0.5769
∅ = tan⁻¹( 0.5769 )
∅ = 29.98° ≈ 30°
Therefore, The angle of elevation of the pile is 30°
2 1/4x + (4 1/3x − 7 4/5 ) ÷ 2 3/5
Answer:
1/4*(9x+130x-234/35
Step-by-step explanation:
get photomath
A car loses a quarter of its value every year. It is originally woth $35,000. To the nearest dollar, how much will the car be worth in eight years?
a
$3,504
b
$5,872
c
$26, 250
d
$34, 998
Hello! Your answer would be B, 3,504
Explanation:
So it states that a car loses a quarter of its value every year and it ask us to find in 9 years, A quarter is actually 25%, so we would have to divide 35,000 with 25 to find the first year.
Final Result: B
find the equation of the line with the coordinates of (-5,-2) and (5,3)
Answer
x - 2y = -1.
Step-by-step explanation:
Slope = (3 - (-2)) / (5 - (-5))
= 5/10
= 1/2
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
Here m = 1/2 and (x1, y1) = (5, 3):
y - 3 = 1/2(x - 5)
y - 3 = 1/2x - 5/2
y = 1/2x - 5/2 + 6/2
y = 1/2x + 1/2
Removing the fractions:
2y = x + 1
in standard form this is
x - 2y = -1
Look at pic plz help
Answer:
Mochi
Step-by-step explanation:
Mochi
Each week theres a increase of 4 in Mochi's weight. So you will add 4 twice to get to the 5th week.
4th week : 17
5th week : 21
Kappa
In 4 weeks Kappa weighed 14, which is less that Mochi at the pace Kappa is going at.
on the 3rd week Kappa weighed 11
and 2nd week Kappa weighed 5
and 1st week Kappa weighed 3
Looking at the graph, we can give a rough estimate on the 5th week it's going to be 16 or 17 either way making Mochi heavier.
If significant digits are used to compute the product of 0.105 and 1000.2000, how many significant digits are there in the answer?
A. 0
B. 1
C. 2
D. 3
Answer:
A is the answer!
Step-by-step explanation:
There are 6 significant digits are in the answer.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Here, significant digits are used to compute the product of 0.105 and 1000.2000,
Now,
Multiplication of 0.105 and 1000.2000 is,
⇒ 0.105 × 1000.2000
⇒ 105.021
Hence, There are 6 significant digits are in the answer.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
If student D can solve 60% of multiple choice questions and Student B can solve 51% of the multiple choice questions and Student C can solve 57%. The students are unaware of each other.
a) At least one can be solved
b) Probability at most one of them can be solved
c) Probability that neither of them can be solved
d) Exactly two them can be solved
A service station checks Mr. Smith's radiator and finds it contains only 40% antifreeze. If the radiator holds 20 quarts and is full, how many quarts must be replaced with pure antifreeze in order to bring it up to a required 80% antifreeze?
Answer:
8 quarts
Step-by-step explanation:
Step One: Figure out how much 40% is by making an equation:
Since we are looking for a percentage, we use cross multiplication to find X.
[tex]\frac{x}{20} = \frac{40}{100}[/tex]
Step Two: multiply 20 by 40 to start cross multiplying:
20 times 40 is 800, so replace the 40 by 800 in the equation.
[tex]\frac{x}{20} = \frac{800}{100}[/tex]
Step Three: divide 800 by 100, and we will have X:
800/100=8
X=8 aka 8 quarts
I hope this helps!
pls give thx and brainliest :D