Answer:
mean = 16 1/3
median = 17
mode = 18
Step-by-step explanation:
b.
mean = (10 + 12 + 12 + 15 + 15 + 16 + 16 + 17 + 18 + 18 + 18 + 18 + 19 + 20 + 21)/15
mean = 16 1/3 (the arithmetic average)
median = 17 (the middle one)
mode = 18 (the one that occurs the most)
Obtain the number 175 in two steps, using the numbers 3, 10 and 25 exactly once. You may use addition, subtraction, or multiplication.
Answer: (10 - 3) x 25 = 175
Step-by-step explanation:
10 - 3 = 7
7 x 25 = 175
I need help with this
look at picture
Complementary angles
18°
Mark as brainlist......
Answer:
18 degrees.
Step-by-step explanation:
....you welcome
expand the logarithm as much as possible. rewrite the expression as a sum, difference, or product of logs. ln (1/g^k) Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, ln(1/gk)
The expression of logarithmic function, f(x) = ln (1/gᵏ) after all possible expansion is equals to the f(x) = - k × ln( g).
In mathematics, the logarithmic function is defined as inverse function to exponent function and defined as f(x) = logₐx where a is base of function. Properties of Logarithmic Functions :
Product Rule : logₐ MN = logₐ M + logₐ N , with the same base, multiply two numbers result add the exponents.Quotient Rule : logₐ M/N = logₐ M – logₐ N, with the same base, divide two numbers result add the exponents.Power Rule : Raise an exponential expression to power and multiply the exponents. Logₐ Mᵖ = p logₐ MZero Exponent Rule, logₐ 1 = 0.We have, a natural logarithmic function, i.e., base = 10, f(x) = ln (1/gᵏ) and we have to expand it. To expand logarithms means write them as a sum or difference product of logarithms. The order to apply rules is quotient rule, product rule and then power rule. So, f(x) = ln (1/gᵏ)
applying quotient rule,
=> f(x) = ln(1) - ln( gᵏ)
Appling power rule,
=> f(x) = ln(1) - k ln( g)
Applying Zero Exponent Rule,
=> f(x) = 0 - k × ln( g)
Hence, the required expansion is f(x) = - k × ln( g).
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Find the domain in the given ordered pairs.
{(2,8). (1,7), (2,9). (4, 6)}
Answer:
Domain: {1,2,4}
Step-by-step explanation:
The domain is the input values
We normally list the value in order from smallest to largest and only list the values one time if they appear more than once
Domain: {1,2,4}
Take the input values as domain.
→ 2,1,2,4
Now pick a number once if it is repeated and arrange in ascending order.
Then the domain will be,
→ 1,2,4
Hence, {1,2,4} is the domain of the pairs.
(iv) d = ? r = ? c = 39.6cm
Answer:
Step-by-step explanation:
your question is incomplete but i think you want to find diameter and the radius
c=39.6
2πr= 39.6
r= 0.9*7= 6.3cm
∴d=12.6cm
(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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2x+3y 26
3x +2y 6
Any solutions
drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.
PLEASE HELP................
1. The scale factor here in the dilation is 4/3.
2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.
What is dilation?During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:
A rise in an object's size is referred to as expansion.
Contraction is the term used for a reduction in size.
Here in the question,
The coordinates of the point B change from (-3,6) to (-4,8).
The scale factor here is -4/-3=4 or 8/6=4/3.
Now, when the dilation happens below the plane, the coordinates will be (x,-y)
So, the dilation factor will be -4/3.
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where would -10 appear on a number line
Answer:
negatives to the left of 0, positives to the right of 0.
Min and Jessica collected 60 plastic bottles. They divided the plastic bottles evenly between them and sold the bottles to a recycling center for 10 cents each.
Let n represent the amount of money, in cents, that Min and Jessica each earned from the recycling center.
Which equation could be used to find the amount of money Min and Jessica each earned?
Answer:
60 / 2 = 30 X .10 = n
Step-by-step explanation:
60 divided by 2 is 30 and then each of those bottles are worth .10 cents and you multiply 30 by .10 and you get 3 that is how much each girl gets
A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula? 0 -12,-18, -27, ... O-20, 30, 45, ... 0 -18, -16.5, -15, ... O-16, -17.5, -19,...
We need to know about sequences to solve the problem. The sequence that can be generated by the given formula is 20,30, 45.... which means option (b) is the correct answer.
A sequence is defined as an arrangement of numbers in a particular order. In the given question we have been given a recursive formula that will give us the values of the terms of the sequence. The given formula is f(n+1)=1.5f(n), we need to check from the sequences given which one follows the formula given. For the first sequence, the third term cannot be negative, for the third sequence, the sequence can't be decreasing and for the last sequence the sequence does not follow the given formula. For the second sequence,
n=20
f(21)=1.5x20=30
f(30+1)=1.5x30=45
Therefore the sequence that can be generated from the given formula is 20,30,45,... which means option (b) is the correct answer.
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Need help now please JAKQKAHJAKQJS
Answer:
sone miyuki #4454 ALSO I DONT KNOWWW I CANT SEE THE IMAGE
Step-by-step explanation:
yewdvloikujyhgtvfr
Write an algebraic expression for the situation: 2.5 less than a number d
A. d - 2.5
B. 2.5 - d
C. 2.5 ÷ d
D. d ÷ 2.5
Answer:
A.
Step-by-step explanation:
I don’t know how to explain it. It’s just that you need to find a number that is 2.5 less than D. So, you just subtract that 2.5 from D.
NEED THE ANSWERS FAST PLEASE
In Exercises 13 and 14, find a possible pair of integer values for a and c so that
the quadratic equation has the given number and type of solution(s). Then write
the equation.
13. ax² − 3x + c = 0; two real solutions
-
14. ax² + 10x + c = 0; two imaginary solutions
15. Determine the number and type of solutions to the equation 2x² - 8x = -15.
A. two real solutions
B. one real solution
C. two imaginary solutions
D. one imaginary solution
In Exercises 16 and 17, use the Quadratic Formula to write a quadratic equation
that has the given solutions.
16. x
10 ± √√-68
14
17. x =
-3±i√√7
8
In Exercises 18-21, solve the quadratic equation using the Quadratic Formula.
Then solve the equation using another method. Which method do you prefer?
Explain.
18. 7x² + 7 = 14x
20. x² + 2 = -x
19. x² + 20x = 8
21. 8x² - 48x + 64 = 0
22. The quadratic equation x² + x + c = 0 has two imaginary solutions. Show that
the constant c must be greater than 1.
Answer:
Step-by-step explanation:
the degree of a polynomial determines 1:1 the number of solutions.
a quadratic equation (degree 2) has 2 solutions.
the general solution is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -4
b = -4
c = -1
so,
x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)
when we look at the square root
16 - 16
we see that it is 0.
the square root of 0 is 0, and there is no difference between -0 and +0.
so, we get only one (real) solution : 4/-8 = -1/2
but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.
so, I am not sure what your teacher wants to see in this case as answer.
my answer would be 2 real identical solutions. did this help?
Find the value of x. 148° to
The angles x and 148° are vertical angles and si the measure of the vertical angle x is equal to 148°.
What are vertically opposite anglesVertical angles also called vertically opposite angles are formed when two lines intersect each other, the opposite angles formed by these lines are vertically opposite angles and are equal to each other.
The angles 148° and x form vertical angles, so x = 148°
Therefore, since the angles x and 148° are vertical angles and and vertically opposite angles are equal, then the measure of the vertical angle x is equal to 148°.
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Answer: A
Step-by-step explanation: bc
how to solve this question?
The revised Doubtful Debts Provision should be, $4,555.
Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):
Net Debts x Provision Rate equals Adjusted PDD.
The computation would then be:
= $91,100 x 0.05
= $4,555 is the adjusted PDD.
Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,
= $4,555 - $3,500
= $1,055
Hence, The revised Doubtful Debts Provision should be $4,555.
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is - 2/3 and -2.3145 irrational numbers or rational numbers
Answer: rational numbers
Step-by-step explanation:
Find the value of x.
Answer:
x = 8
Step-by-step explanation:
You want to know the value of x in an expression for an angle measure at parallel lines.
Angles at a transversalWhere at transversal crosses parallel lines, all acute angles created are congruent, all obtuse angles created are congruent, and the acute angles are supplementary to the obtuse angles.
The angle marked 83° is acute. The angle marked (12x+1)° is obtuse, so these angles are supplementary:
83° +(12x +1)° = 180°
12x +84 = 180 . . . . . . . divide by ° and simplify
12x = 96 . . . . . . . . . . subtract 84
x = 8 . . . . . . . . . . . . divide by 12
The value of x is 8.
A human hair was measured to be 8.0•10-4 inch thick. A cat hair is measured to be 4.0•10^-1. How much greater is the thickness of the cat hair than the human hair? Writ this in standard form.
Whoever gets this right I will mark brainiest and 60 points!!
Answer:
500 times
Step-by-step explanation:
Divide the thickness of a cat hair by the thickness of a human hair.
4.0 × 10^-1 / 8.0 × 10^-4 =
= 0.5 × 10^3
= 500
500 times
The surface area of a cell phone screen is 11700 mm2. Use the fact that 10 mm = 1 cm to convert this area to cm2. Round your answer to the nearest whole number.
The surface area of a cell phone screen is 117 cm².
What is unit conversion?
Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.
We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:
11700 mm² / (100 mm² / cm²) = 117 cm²
Rounding to the nearest whole number, we get 117 cm².
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-3+8x-5=-8 solve for x
The value of this equation is x = 0
The representation of an equation of the first degree - is given by:
\( \boxed{ \large \sf ax + b = 0}\)
This representation is also defined in a first degree function.
— To solve this expression, let's: add or subtract the real terms. Then we will do the division.
⚘ Resolution
\( \large \sf{-3+8x-5=-8}\)
\( \large \sf{-8+8x=-8}\)
\( \large \sf{8x=0}\)
\( \large \sf{x=0 \div 8}\)
\( \green{ \boxed{ \boxed{ \blue{ \large \sf{x=0}}}}} \\ \)
Therefore, the value of this equation will be x = 0
A bicycle store costs $2700 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $70. How many bicycles must the store sell each month to
The store must set bicycles each month to break even
Kristen has 3/4
yards of ribbon. She wants to cut it into equal parts to make hair ribbons for her daughter's 9 dolls. How long, in yards, will each doll's hair ribbon be?
Answer:
3/4 divide by 9 = 0.75/9 = 0.083 yard for each doll's hair ribbon
Step-by-step explanation:
Each doll's hair ribbon will be 0.083 (yards)
The length of each of the daughter's dolls hair ribbon is \(\frac{1}{12} \ yards\)
The given parameters:
amount of ribbon Kristen has \(= \frac{3}{4}\) yards
number of her daughter's dolls = 9
To find:
the length of each doll's hair ribbonTo have equal length of ribbons for each of the doll's hair, we divide the total amount of ribbons by 9, since there 9 dolls.
\(Length \ of \ each \ doll's \ ribbon = (\frac{3 }{4} \times \frac{1}{9})\ yards\\\\Length \ of \ each \ doll's \ ribbon = (\frac{3}{36} ) \ yards\\\\Length \ of \ each \ doll's \ ribbon = \frac{1}{12} \ yards\)
Thus, the length of the each doll's hair ribbon is \(\frac{1}{12} \ yards\)
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Assume this is a partial list of financial highlights from a Best Buy annual report (dollars in millions):
Net sales
2020 - $40,580
2019 - $35,475
Earnings before taxes
2020 - $2,291
2019 - $1,313
Net earnings
2020 - $1,378
2019 - $921
Find horizontal analysis and vertical analysis.
Value of Horizontal Analysis:
⇒ Net sales = 14.4%
⇒ Earnings before taxes = 74.4%
⇒ Net earnings = 49.6%
Value of Vertical Analysis;
⇒ Net sales = 100%
⇒ Earnings before taxes = 5.6%
⇒ Net earnings = 3.4%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Now, We can find as;
Horizontal Analysis:
Here, Calculate the dollar change by subtracting the previous year's figure from the current year's figure for each item:
Net sales = $40,580 million - $35,475 million
= $5,105 million increase
Earnings before taxes = $2,291 million - $1,313 million
= $978 million increase
Net earnings = $1,378 million - $921 million
= $457 million increase
Hence, Calculate the percentage change by dividing the dollar change by the previous year's figure and multiplying by 100 as;
Net sales = ($5,105 million / $35,475 million) x 100
= 14.4% increase
Earnings before taxes = ($978 million / $1,313 million) x 100
= 74.4% increase
Net earnings = ($457 million / $921 million) x 100
= 49.6% increase
And, Vertical Analysis:
Calculate the percentage of each item in relation to the net sales by dividing each item by the net sales and multiplying by 100:
Net sales = $40,580 million / $40,580 million x 100
= 100%
Earnings before taxes = $2,291 million / $40,580 million x 100
= 5.6%
Net earnings = $1,378 million / $40,580 million x 100
= 3.4%
Thus, Value of Horizontal Analysis:
⇒ Net sales = 14.4%
⇒ Earnings before taxes = 74.4%
⇒ Net earnings = 49.6%
Value of Vertical Analysis;
⇒ Net sales = 100%
⇒ Earnings before taxes = 5.6%
⇒ Net earnings = 3.4%
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2. Prove the trig identity.
sin x ( 1 + cot^2x)
I have a calculus exam tomorrow and have no idea how to solve this equation, please provide a detailed explanation. I'm slow.
Answer:
We'll start with the left-hand side (LHS) of the identity, which is:
sin x (1 + cot^2 x)
We can rewrite cot^2 x as (cos x / sin x)^2, since cotangent is the reciprocal of tangent. Substituting this into the LHS, we get:
sin x (1 + (cos x / sin x)^2)
Now we can simplify the expression in the parentheses by using the identity:
tan^2 x + 1 = sec^2 x
Rearranging this identity, we get:
tan^2 x = sec^2 x - 1
Substituting this into our expression, we get:
sin x (1 + (cos x / sin x)^2) = sin x (1 + (cos^2 x / sin^2 x))
= sin x (sin^2 x / sin^2 x + cos^2 x / sin^2 x)
= sin x ((sin^2 x + cos^2 x) / sin^2 x)
= sin x (1 / sin^2 x)
= sin x / sin^2 x
= 1 / sin x
Now we'll simplify the right-hand side (RHS) of the identity, which is:
csc x
We know that csc x is the reciprocal of sin x, so we can rewrite the RHS as:
1 / sin x
This is the same as the expression we obtained for the LHS, so we have shown that:
sin x (1 + cot^2 x) = csc x
And this proves the identity!
Remember, when you're proving trigonometric identities, it's important to be familiar with the fundamental trigonometric identities and the basic algebraic rules of manipulating equations
good luck with your exam
Lin rode her bike 2 miles in 8 minutes. She rode at constant speed what is the asnwer
|3y - 7| - 10 = -5 solve for y:
Answer: y=1.25
Step-by-step explanation:
First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.
So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5
Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…
Y = 1.25
HELP WILL GIVE BRAINLIST
Answer:
471 square feet
Step-by-step explanation:
150
x3.14
471
please help simplify !
Answer:
B
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) ÷ \(a^{n}\) = \(a^{(m-n)}\) , then
\(6^{9}\) ÷ 6³ = \(6^{(9-3)}\) = \(6^{6}\)