Answer:
When x = 2.4, we have y = 10.8
Step-by-step explanation:
A direct variation of two variables, x, and y, can be written as:
y = k*x
Where k is a constant, called the constant of variation.
We know that y = 7.2, when x = 1.6
Then we can replace these two in the above equation to get:
7.2 = k*1.6
Now we can solve this for k:
7.2/1.6 = k = 4.5
Then our relation is:
y = 4.5*x
Now we want to find the value of y, when x = 2.4
Then we just need to replace x by 2.4 in the above equation:
y = 4.5*(2.4) = 10.8
y = 10.8
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.
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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 carpenter charges $630 for 14 hours of work. She charges the same
amount of money for each hour of work.
Which table shows the relationship between the amount of time the
carpenter works and the amount of money she charges?
the graph would go up 45$ per hour of work if she is charging a per hour rate
Step-by-step explanation:
becouse she charges 630$ per 14 hours you would do 630÷14 which =45$
the 45 represents the hourly rate
the graph should spike every hour mark.
Use the distributive property to write an equivalent expression for 28+14y (find the greatest common factor)
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
$34, 998
Hello! Your answer would be B, 3,504
Explanation:
So it states that a car loses a quarter of its value every year and it ask us to find in 9 years, A quarter is actually 25%, so we would have to divide 35,000 with 25 to find the first year.
Final Result: B
This probability distribution shows the typical grade distribution for a Geometry course with 35 students. HELLLPPP PLSSS
Answer:
P(A, B or C) = 6/7 or 0.8571
Step-by-step explanation:
From the image, we have the frequency for each grade as;
Grade A = 5
Grade B = 10
Grade C = 15
Grade D = 3
Grade F = 2
We want to find the probability that a student earns a grade of A, B or C.
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
Thus;
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
Answer:
0.86Step-by-step explanation:
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
now we round to the hundredths place
0.8571 ⇒ 0.86
a cell phone and phone case cost 110$ in total. the cell phone costs 100$ more than the phone case. How much was the cell phone?
Answer:
$100
Step-by-step explanation:
We know that the total cost was $110 and that the phone is $100 more than the case. With this, we can figure out how much the case is, and use that information to find the price of the phone.
Case price = total price - 100
= 110 - 100
Case price = 10
Now that we know that the case price is $10, we can figure out the phone's price.
Phone price = total price - case price
= 110 - 10
= 100
The phone costs $100
Can someone help me with this geometry question????
3.865in^2
It's (the area of the square minus the area of the circle) divided by 2.
So, Area of the square is 6x6=36
Area of the circle is (pi)*(radius=3)^2=28.27
36-28.27=7.73
7.73/2=3.865in^2
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
Jake paid $13.50 for admission to the county fair and bought 9 tickets to play games. If he spent a total of $36, what is the cost, x, of one ticket? Write an equation to represent the cost of a ticket, x.
Answer:
The cost of one ticket would be $2.5, the equation I believe is 9x + 13.50 = 36.
Step-by-step explanation:
I hope this helps.
help HELP HELPPPPPPP PLSSSSSSSSSS
Answer:
there are 6 more girls than boys
Step-by-step explanation:
i hope this is right good luck!:)
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
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]
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.
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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
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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
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?
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
solve 5(x-1)^1/3 = 20
Answer:
x = 65
Step-by-step explanation:
To solve the equation, we write it in radical form:
[tex]5\, \sqrt[3]{x-1} = 20[/tex]
Then, we divide both sides by 5 to isolate the root:
[tex]\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4[/tex]
and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:
[tex]x-1=4^3\\x-1=64[/tex]
now we add 1 to both sides to isolate x:
x = 65
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%.
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1.
Here is a diagram that Jada drew about the weight of her puppy.
Access
connect
Not recor
9
9
9
9
9
20%
a.
The adult weight of the puppy will be 45 pounds. How can you see that
in the diagram?
b.
What fraction of its adult weight is the puppy now? How can you see
that in the diagram?
2. Jada's friend has a dog that weighs 90 pounds. Here is a diagram Jada
drew that represents the weight of her friend's dog and the weight of her
so
Answer:
Step-by-step explanation:
a). Since, 20% of the total diagram is represented by one fifth part of the total length.
Therefore, by adding all parts we will get 100% weight of the adult puppy.
20% of the part = 9 pounds
So the total weight of the adult puppy = 9 + 9 + 9 + 9 + 9
= 45 pounds
b). Weight of the puppy = 9 pounds
Weight of a adult = 45 pounds
Therefore, fraction that represents the weight of the puppy as compared to the weight of an adult = [tex]\frac{9}{45}[/tex]
= [tex]\frac{1}{5}[/tex]
Answer:
Question 1 Answer: The adult weight will be 45 pounds.
Question 2 Answer: The puppy is ⅕ of its adult weight.
Step-by-step explanation:
Q1- Why is the answer: because there are 5 9's and 5 ⋅ 9 = 45.
Q2-why is the answer : because the whole is divided into 5 pieces of equal length.
Hope this helps!
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°
Write the equation of the line in slope intercept form that: has a slope of m=1/2 and goes through the point (2, -3) please help.
Answer:
[tex]y =\frac{1}{2}x -4[/tex]
Step-by-step explanation:
m = (1/2) ; (2 , -3)
y -y1 = m(x - x1)
[tex]y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4[/tex]
Need help with other math who’s gonna help me brainlest and points
2) A recent survey of 2625 elementary school children found that 28% of the children could be classified obese.
Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $120 and $24, respectively. The organizers would call this event a success if the total contributions exceed $5,200. What is the probability that this fund-raising event is a success?
Answer:
3.51% probability that this fund-raising event is a success
Step-by-step explanation:
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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
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.
A certain plane flies at a speed of 600 miles
per hour. If it requires 4 hours at this rate of
speed to make the trip from Kiska to Tokyo,
what is the distance?
Answer:
2,400 miles
Step-by-step explanation:
Distance = Speed x Time
Distance = 600 miles / hour x 4 hours
Distance = 2,400 miles
If you are looking for speed, use distance over time and if time, distance divided by speed.
Solve for x.
1.8x = 64
I need this by 9p.m tonight having a bit problem solving it can anyone help pls
Answer:
35.56 (rounded to nearest hundredth)
Step-by-step explanation:
1.8x = 64
x= 64/1.8
x = 35.56
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..........