An electronics company polled 300 random people to find out whether they own cell phones and laptops. The results are shown in the table.
A 4-column table with 3 rows. The first column has no label with entries laptop, no laptop, total. The second column is labeled cell phone with entries 82, 159, 241. The third column is labeled no cell phone with entries 11, a, 59. The fourth column is labeled total with entries b, 207, 300.
Use the table to complete the statements.
The cell labeled a is a .
The cell labeled b is a .
Answers
The cell labelled a is a joint frequency of 48 and the cell labelled b is a marginal frequency of 93.
What is a frequency table?The frequency of an occurrence or a value is the number of times it happens. A frequency table is a list of objects with the frequency of each item shown in the table.
The data is mentioned in the table given below:
We need to find the value of a and b.
Here, Cell Phone+No Cell Phone=Total
To find a:
Add the no lap entries, that is 159+a=207
⇒a=48
To find b:
Add the lap entries, that is 82+11=b.
⇒b=93.
Therefore, the cell labelled a is a joint frequency of 48 and the cell labelled b is a marginal frequency of 93.
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Answer:
A: is A
B: is D
Related Questions
Solve f(-4) for f(x) = 7x - 4x
f(-4)= [?]
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ternational Academy of Science. All Rights Reserved.
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Answers
Answer:
-12
Step-by-step explanation:
What you have to do is plug -4 into the function as a puzzle. So, replace all x with -4.
f(-4) = 7(-4) - 4(-4) = -28 + 16 = -12
f (-4) = 7x ( 1-4 ) - 4 (-4)
= -28 + 16
= -12
What is a equation example?
An equation is a mathematical statement this is made from two expressions related by an equal sign. for instance, 3x – 5 = 16 is an equation. solving this equation, we get the fee of the variable x as x = 7.
A declaration of the equality of mathematical expressions. An expression representing a chemical reaction by using chemical symbols. equation.
Conclusion: There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article.
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1. Describe cómo se relacionan ZPQT y 2QTS en la figura de la derecha. R A Los ángulos suman 90° B Los ángulos suman 180°. T S © Los ángulos son iguales. 0 Los ángulos no se relacionan.
Answers
Solution
For this case we can conclude that B) Both angles sum 180°
Since both angles are supplementary the sum of the angles needs to be 180°
Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).
Answers
It's forming an A. P. because each succeeding Te rm increases by a common value i. e. 6 here.
The A. P is
22,28,34,.....
So the n th term will be represented as
a+(n-1)d,
where a=22
And d=6
Now in (b) part the n th term is given i. e. 100
So by putting in the given values we could easily found the value of n
n=(100-22)/6=78/6=13
So the 13th term will be 100
Hope You Got It.
Please will give brainliest and thanks
Answers
Answer:
1- 9/7n
Step-by-step explanation:
1/7-9/7n+6/7=1-9/7n
Allison earns a 10% commission on her weekly sales. Each week, she puts 1/5 of her commission in a savings account and uses the amount remaining on bills. If Allison's sales for one week were $2,300.00. how much money does she use for bills?
Answers
whats the integral of 5x^2 * 7x
Answers
Answer:
Step-by-step explanation:
Kevin has a stack of newspapers. Each one weighs 15 pounds. The entire stack weighs 4
1
2
pounds. How many newspapers are in the stack?
Answers
Answer:7
Step-by-step explanation:
Spin the spinner below. Suppose that you win a prize if it lands on green. What is p, the probability of success? What is 1-p, the probability of failure? (See attached picture)
Answers
Outcomes:
Success = 7
Failure = 3
Total outcomes = 3 + 7 = 10
p ( sucess ) = 7 /10 = 0.7
p (failure ) = 3 /10 = 0.3
Answer:
What is p, the probability of success?
7/10 or 0.7
What is 1 – p, the probability of failure?
3/10 or 0.3
Which line is parallel to the line 8x + 2y = 12?
Help ASP please!!!
Answers
To be parallel must the slope of the lines equal to each other.
_________________________________
\(8x + 2y = 12\)
\(2y = - 8x + 12\)
\(y = - 4x + 6\)
_________________________________
From left to right ;
1) The slope-intercept form is :
\(y = 4x + 4\)
Which means the slope = 4
Look : 4 ≠ -4 thus this is not the answer.
+++++++++++++++++++++++++++++++++++++++
2) The slope-intercept form is :
\(y = - \frac{1}{4}x + \frac{3}{4} \\ \)
Which means the slope = -¼
Look : -¼ ≠ -4 thus this is not the answer.
+++++++++++++++++++++++++++++++++++++++
3) The slope-intercept form is :
\(y = - 4x - 6\)
Which means the slope = -4
Look : -4 = -4 thus this is the answer.
+++++++++++++++++++++++++++++++++++++++
4) The slope-intercept form is :
\(y = \frac{1}{4}x + \frac{11}{4}\\ \)
Which means slope = ¼
Look : ¼ ≠ -4 thus this is not the answer.
_________________________________
And we're done...
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Write 1 1/6 as an improper fraction
Answers
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?
Answers
Answer:
Step-by-step explanation:
Whats faster?
10 inches per minute or 1 cm per second?
Answers
Answer:
10 inches per minutes
Step-by-step explanation:
Inches are longer than Centimeters
Hope this helped, Have a Great Day!!
Answer:
1cm
Explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answers
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Solve for x
Help quick
Answers
Answer:
180=11x-28+7x-8
180=18x-36
+36 +36
216=18x
18x 18x
12=x
Step-by-step explanation:
Hi there,
I am more interested in how to solve this problem, but you are welcome to show me the walkthrough as well :)
As a student, I have
240 hours of English, where 1 h = 50 min
How much would I have, if 1h = 60 min?
Thank you for your time :)
Answers
Answer:
You'd have 288 hours for 60 mins.
Step-by-step explanation:
if 1hr=50 mins for 240 hours
then 50mins =240hours
thus, 60 mins =x hours
Cross multiply
then you have 50mins × x hours=60 mins ×240 hours
therefore,50mins×x/50 mins=240 hours×60/50mins
then,x on the L.H.S =24×12 after division on R.H.S
so, x=288 hours
therefore,for 60 mins you'd have 288 hours of English
Solve:
StartFraction 20 Over x EndFraction = 2
a.
x = 40
c.
x = 20
b.
x = 10
d.
x = 15
Answers
The value of x in the expression fraction 20 Over x is 10.
What is expression?An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation. The expression can be explained as a statement which consist of numbers, variables, and some arithmetical operations.
an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
Numbers, symbols and operators (such as + and ×) grouped together that show the value of something. Examples: • 2 + 3 is an expression. • 3 − x/2 is also an expression.
Given that, 20 Over x = 2
Converting into mathematical expression, we get,
20÷x = 2
20/x = 2
Cross multiplying,
20/2 = x
x = 10
Hence, the expression fraction 20 Over x satisfies at x = 10
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Determine the area of the circle 6 yd
Answers
The area of a circle is found by using the formula A = πr2, where r is the radius.
What is area?Area is a measure of the two-dimensional size of a shape or surface. It is commonly measured in square units, such as square meters or square feet. To calculate the area of a shape, you need to know the length and width of the shape. Area can also refer to the amount of space within a three-dimensional shape, such as a cube or sphere. In this case, the area is measured in cubic units, such as cubic meters or cubic feet.
This means that the area of a circle with a radius of 6 yards is A = π(6)2 = 113.04 yd2. Therefore, the area of the circle with a radius of 6 yards is 113.04 yd2.
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Write the expression without using exponents.
(−9x)4
Answers
The expression (-9x)^4 can be represented as -6561x^3 without using exponents.
To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.
(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)
To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:
(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2
So, by substituting this result back into the original expression, we get:
(-9x)^4 = 81x^2 * (-9x) = -6561 x^3
Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.
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Bernie mixed 0.61 grams of salt into a pot of soup he was cooking. Before he served the soup,Bernie add 0.01 grams of salt. How much salt did Bernie put into the soup in all
Answers
Answer:
0.62 grams
Step-by-step explanation:
Bernie initially added 0.61 grams of salt into the pot, and then added 0.01 grams before serving. To find the total grams of salt added to the pot, simply add 0.61 grams and 0.01 grams.
0.61+0.01=0.62 grams
How do I solve this problem?
Answers
Answer:
To determine the number of years it will take for a $5000 investment to reach $7500 at an 8% interest rate, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the future value (in this case, $7500)
P is the principal amount (in this case, $5000)
r is the interest rate (in decimal form, so 8% would be 0.08)
n is the number of times interest is compounded per year (assuming annually, so n = 1)
t is the number of years
We need to solve for t in this equation. Rearranging the formula to isolate t, we get:
t = (log(A/P)) / (n * log(1 + r/n))
Plugging in the values:
t = (log(7500/5000)) / (1 * log(1 + 0.08/1))
Calculating this equation will give us the number of years it will take for the investment to reach $7500.
I hope I helped! If I did, It would mean the world to me if you gave me a special thanks!
:)
If A = (9.18) and B = (1, 12), what is the length of AB?
A. 11 units
B. 9 units
C. 10 units
D. 12 units
Answers
\(d^2=(x_2-d_1)^2+(y_2-y_1)^2\\ \\ d^2=(9-1)^2+(18-12)^2\\ \\ d^2=64+36\\ \\ d=\sqrt{100}\\ \\ d=10\)
a submarie decends to 1/6 of its maximum depth. Then it decends another 2/3 of its maximum depth. if it is now at 650 feet below sea level, what is it's maximum depth?
Answers
Answer:
975 feet.
Step-by-step explanation:
2/3 = 4/6
650/4 = 162.5
162.5 x 2= 325
650+325 = 975
here what one is right?
Answers
Answer:
B.
Step-by-step explanation:
Suppose that you borrow $13,000 for 5 years at 7% toward the purchase of a car.
The monthly payment is $
The total interest for the loan is $
Answers
The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.
To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.
So,
Interest = $13,000 x 0.07 x 5
Interest = $4,550
It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.
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4. Mrs. James bought a tv for $999, but she
received a discount of 20%. What is the price
of the tv?
A. $1798.20
B. $1198.80
C. $199.80
D. $799.20
Answers
Answer:
BStep-by-step explanation:
She bought the tv for 80% of the original price. Therefore the original price is higher than $999. Now you can cancel options C and D because they are smaller than $999.
so the original price of the tv is 120% of $999 is $ 1198.80
Therefore the correct option is option B
In a particular brand of spaghetti sauce, there are approximately 1.47 grams of salt in 1 pound of sauce. How many milligrams of salt are there in 1 ounce of sauce?
Answers
Answer:91.875
Step-by-step explanation:
A pound contains 16 ounces
1 gram contains 1000mg
1.47*1000=1470
Which means 1 pound contains 1470 mg
1 ounce contains 1470/16 =91.875 mg
Bro please help. Im so lost
Answers
Answer:
D: x≤-4
Step-by-step explanation:
If its not just reply to me and i will re asses
Answer:
3
Step-by-step explanation:
What is the value of x in the equation 0.7x -1.4 = -3.5?
O-7
0-3
O 3
O 7
Answers
Explanation: To find any value of x, you have to get it alone. As -1.4 is being subtracted from 0.7x, you’d do the opposite of the order of operation that it’s doing. So because -1.4 is negative, (being subtracted), you’d have to add -1.4 on both sides of the equation to eliminate the -1.4 from being near the 0.7x. You’re then left with 0.7x = -3.5 + 1.4
You then add those up (-3.5 + 1.4) giving you (-2.1) as your final answer and you’re left with 0.7x = -2.1. You then divide 0.7 from both sides to get x alone, leaving you with -3 as your final answer!
Hope this helps!
60 POINT QUESTION. Middle school math, ordered pairs.
Answers
Answer:
(0,2)
(3,0)
Step-by-step explanation:
(3,0)
Is the correct answer
Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
Answers
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)