Answer:
The indicated degree of likelihood as a probability is 0.01.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes
Odds of a win are 1 to 99:
This means that in 1 + 99 = 100 games, you are expected to win 1. So
1/100 = 0.01
The indicated degree of likelihood as a probability is 0.01.
Tamika leans a 30-foot ladder against a wall so that it forms an angle of 65∘ with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
64.34 feet.
Step-by-step explanation:
To solve this problem, we can use trigonometric ratios, specifically the tangent ratio.
Let's denote the height up the wall that the ladder reaches as "h". We can then set up the following equation:
tan(65°) = h/30
To solve for h, we can multiply both sides by 30:
30 tan(65°) = h
Using a calculator, we can find that tan(65°) is approximately 2.1445. Multiplying this by 30 gives us:
h ≈ 64.34 feet
Therefore, the ladder reaches approximately 64.34 feet up the wall. Rounded to the nearest hundredth of a foot, the answer is 64.34 feet.
When the angle of elevation of the sun is 62°, a telephone
pole that is tilted at an angle of 8° directly away from the sun
casts a shadow 20 feet long. Determine the length of the pole
to the nearest tenth of a foot.
Answer:
30.0 ft
Step-by-step explanation:
You want the length of a pole whose shadow is 20 ft long when the angle of elevation of the sun is 62° and the pole is tilted 8° away from the sun.
Law of SinesReferring to the attached diagram, we see that the interior angle at B of triangle ABC is 90° -8° = 82°. This makes the interior angle at A ...
A = 180° -82° -62° = 36°
The law of sines tells us side lengths are proportional to the sines of the opposite angles:
c/sin(C) = a/sin(A)
c = a×sin(C)/sin(A) = 20×sin(62°)/sin(36°) ≈ 30.043 . . . feet
The length of the pole is about 30.0 feet.
Explain how the interquartile range of a data set can be used to identify outliers. The interquartile range (IQR) of a data set can be used to identify outliers because data values that are ▼ less than equal to greater than ▼ IQR Upper Q 3 minus 1.5 (IQR )Upper Q 3 plus IQR Upper Q 3 plus 1.5 (IQR )or ▼ less than equal to greater than ▼ IQR Upper Q 1 plus 1.5 (IQR )Upper Q 1 minus IQR Upper Q 1 minus 1.5 (IQR )are considered outliers.
Answer:
- greater than Upper Q 3 plus 1.5 (IQR)
- less than Upper Q 1 minus 1.5 (IQR)
Step-by-step explanation:
To identify outliers the interquartile range of the dataset can be used
Outliers can be identified as data values that are
- greater than Upper Q 3 plus 1.5 (IQR)
- less than Upper Q 1 minus 1.5 (IQR)
Using the interquartile range concept, it is found that:
The interquartile range (IQR) of a data set can be used to identify outliers because data values that are 1.5IQR less than Q1 and 1.5IQR more than Q3 and considered outliers.
----------------------------
The interquartile range of a data-set is composed by values between the 25th percentile(Q1) and the 75th percentile(Q3).It's length is: \(IQR = Q3 - Q1\)Values that are more than 1.5IQR from the quartiles are considered outliers, that is:\(v < Q1 - 1.5IQR\) or \(v > Q3 + 1.5IQR\)
Thus:
The interquartile range (IQR) of a data set can be used to identify outliers because data values that are 1.5IQR less than Q1 and 1.5IQR more than Q3 and considered outliers.
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Is thirty six and nine thousandths greater or less than 4 tens
Greater
36+9,000 > 40
there are 50 people in a coffee shop fourteen are tourist.what percent of people in the shop are tourist and non tourist
Answer:
tourist: 28%
non-tourist: 72%
Step-by-step explanation:
total: 50
tourists: 14
non-tourists:50 - 14 = 36
tourist percentage: 14/50 × 100% = 28%
non-tourist percentage: 36/50 × 100 = 72%
In the figure, m<1= (3x+12)°, m<2= (3x+18)° and m<3= (7x+10)°. What is m<3?
The m<3 is approximately equal to 85.39 degrees.
The sum of the measures of the angles of a triangle is 180 degrees. So, we have:
m<1 + m<2 + m<3 = 180
So, (3x + 12) + (3x + 18) + (7x + 10) = 180
Simplifying and solving for x, we get:
13x + 40 = 180
13x = 140
x = 10.77
Now, we can find m<3 by substituting x in the expression for m<3:
m<3 = 7x + 10
m<3 = 7(10.77) + 10
m<3 = 85.39
Therefore, m<3 is approximately equal to 85.39 degrees.
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What is the equivalent ratio for 4
The equivalent ratios are 8: 6 and 12:9.
Equivalent ratios:Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.
Here we have 4:3
To find equivalent ratios, we can multiply both terms by the same number.
Multiplying by 2
=> 4 × 2 : 3 × 2
=> 8 : 6
Multiplying by 3
=> 4 × 3 : 3 × 3
=> 12: 9
Therefore,
The equivalent ratios are 8: 6 and 12:9.
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Complete Question
What is the equivalent ratio for 4: 3
I have been struggling on this can anyone help?
Answer:
Step-by-step explanation:
PX is 15 which is the radius
Find the circumference of the circle and subtract the length of the minor arc
Circumference of circle = 2 * pi * r = 2 * pi * 15 = 30 pi
length of arc = angle/360 * 2 * pi * r = 23/360 * 2 * pi * 15 = 1.92 pi
subtraction will give 30 pi - 1.92 pi = 28.08 pi
28.08 * 22/7 = 88.25 which is approximately 88
PLEASE AM N MDDLE SCHOOL!
unction g is a transformation of the parent tangent function such that
. Which graph represents function g?
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
B.
The trigonometric functions intercept the x-axis at minus 4.2, minus 1.1, 2, and 5 units also pass parallel to the g of the x-axis.
C.
The trigonometric functions intercept the x-axis at minus 3.5, minus 0.2, and 3 units also pass parallel to the g of the x-axis.
D.
The trigonometric functions intercept the x-axis at minus 5, minus 2, 1, and 4.2 units also pass parallel to the g of the x-axis.
Answer:
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
i dont understand what i need to do here if someone can do it here would be great!!! please much love
Answer:
Could You Explain any specif part your needing helpwith Would love to help!!!
Step-by-step explanation:
The difference of the present ages of the two brothers is 5 years . 6 years ago , if the product of their ages was 696, find the ratio of present age of elder brother and the younger brother.
The present age of the elder brother is in a ratio of 23 to the present age of the younger brother, which can be simplified to a ratio of 5 to 4.
Let's assume the present age of the elder brother is E years, and the present age of the younger brother is Y years. According to the given information, the difference in their ages is 5 years, which can be expressed as E - Y = 5.
Six years ago, the elder brother's age was E - 6, and the younger brother's age was Y - 6. According to the second given condition, the product of their ages at that time was 696, which can be expressed as (E - 6)(Y - 6) = 696.
To find the ratio of their present ages, we need to solve the two equations simultaneously. We can start by expanding the second equation:
(E - 6)(Y - 6) = 696
EY - 6E - 6Y + 36 = 696
EY - 6E - 6Y = 660
Now we can substitute the value of E - Y from the first equation into the second equation:
(E - Y) - 6E - 6Y = 660
5 - 6E - 6Y = 660
-6E - 6Y = 655
Simplifying the equation:
6E + 6Y = -655
Now we have a system of linear equations:
E - Y = 5
6E + 6Y = -655
Solving these equations, we find that the present age of the elder brother (E) is 23 years and the present age of the younger brother (Y) is 18 years.
Therefore, the ratio of the present age of the elder brother to the younger brother is 23:18, which can be simplified to 5:4.
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A bike path is 12.5 miles. Dominic is 70% of the way to the end. How far is Dominic on the path?
The percentage of the distance Dominic is on the path is his distance
travelled as a fraction of the total distance when equivalent to 100.
The distance he has travelled on the path is 8.75 miles.
The given parameter are;
Length of Dominic's path = 12.5 miles
The length of the way Dominic is to the end = 70%
Required:
The distance Dominic has travelled on the path
The distance Dominic has travelled, D is 70% of 12.5 miles.
70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles
The distance Dominic has travelled on the path, D = 8.75 miles
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In each of the following scenarios, select the appropriate scale of measurement. a. A meteorologist records the amount of monthly rainfall over the past year.
A. Nominal B. Ordinal C. Interval D. Ratio b. A ski resort records the dally temperature daring the month of Januiry. A. Nominal B. Ordinal C. Interval D. Ratio
c. A restaurant surveys its customers about the qualty of lts waiting staff pin a scale of 1 to 4 where 1 is poor and 4 is excelient. A. Nominat B. Ordinal C. interval D. Ratio
In each of the following scenarios, the appropriate scale of measurement is given below.
What is ratio?
The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Nominal - naming or labeling
Ordinal - a rating of sorts
Interval - the ability to organize data into intervals
Ratio - Zero is the strongest level of measurement and is significant.
A meteorologist records the amount of monthly rainfall over the past year = Ratio.
A ski resort records the daily temperature during the month of January = Interval.
A restaurant surveys its customers about the quality of its waiting staff on a scale of 1 to 4, where 1 is poor and 4 is excellent = Ordinal
Therefore, all the appropriate measurements are given above.
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f(x)=3x-3. find f(4)
Answer:
f(4)=9
Step-by-step explanation:
The given function is
F(x)=3x-3
so,
f(4)=3*4-3
f(4)=12-3
f(4)=9
putting 4 in place of x we get answer of the question.
You are buying candy bars from an online store. The cost for each candy bar is $1.50 and the store charges a $3.50 shopping fee. Write a linear equation to represent the total cost, y, of the number of candy bars purchased, x. How many candy bars can you buy with $29.
The linear equation of the total cost is y = 1.5x + 3.5 and the number of candy bars for $29 will be 17.
What is an equation?The equation in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the cost for each candy bar is $1.50 and the store charges a $3.50 shopping fee.
The linear equation can be written as:-
y = 1.5x + 3.5
Here, y = total cost and x = Number of candy bar
The number of candy bars for $29 will be:-
y = 1.5x + 3.5
29 = 1.5x + 3.5
1.5x = 25.5
x = 25.5 / 1.5
x = 17
Therefore, the linear equation of the total cost is y = 1.5x + 3.5 and the number of candy bars for $29 will be 17.
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Consider exponential function h.
h(x) = 3x + 4
The function is always positive.
(0,5) is the y-intercept, since the graphed line never crosses the x axis, there is no x-intercept.
The function is positive and greater than 4 for all values of x
Not sure what the actual choices are on a couple of the questions. The choices would help answering.
Mr. Smith and Mr. Stein were driving to a business meeting 140 miles from their office. Mr. Smith drove the first
miles, then Mr. Stein drove the rest of the way.
Write an algebraic expression for how many miles Mr. Stein drove
This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.
How to determine the algebraic expression?An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.
Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\) , since they drove a total of 140 miles and Mr. Smith already drove x miles.
the algebraic expression for how many miles Mr. Stein drove is:
\(140 - x\)
Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.
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Myrtle Air Express decided to offer direct service from Cleveland to Myrtle Beach. Management must decide between a full-price service using the company’s new fleet of jet aircraft and a discount service using smaller capacity commuter planes. It is clear that the best choice depends on the market reaction to the service Myrtle Air offers. Management developed estimates of the contribution to profit for each type of service based upon two possible levels of demand for service to Myrtle Beach: strong and weak. The following table shows the estimated quarterly profits (in thousands of dollars):
Demand for Service
Service Strong Weak
Full price $960 -$490
Discount $670 $320
1. What is the decision to be made, what is the chance event, and what is the consequence for this problem?
2. How many decision alternatives are there?
Number of decision alternatives =
3. How many outcomes are there for the chance event?
Number of outcomes =
4. If nothing is known about the probabilities of the chance outcomes, what is the recommended decision using the optimistic, conservative, and minimax regret approaches?
a. Optimistic approach
b. Conservative approach
c. Minimax regret approach
here i attached the answer
The decision to be made is the type of service to be provided. The chance event is the level of demand for the air service.
What is Air Service?The services performed by an airline, as flights between various destinations to transport passengers, freight, and mail.
The decision to be made is the type of service to be provided. The chance event is the level of demand for the air service. The consequence can be considered as the amount of quarterly profit. Full price and discount price services are two decision alternatives. The number of outcomes for chance event is two, which are strong demand and weak demand.
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please answer if you think you are kind and beautiful of world
Answer:
y = 0
Step-by-step explanation:
Given (-5, 0) and (0, 0),
Find the slope (m):
\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 0}{0 - (-5)} = \frac{0}{5} = 0 \)
Slope (m) = 0.
Find the y-intercept (b):
y-intercept (b) = 0. This is the value of y, when x = 0.
To write the equation of the line, substitute m = 0, and b = 0 into y = mx + b
y = (0)(x) + 0
y = 0 + 0
y = 0
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
What are the coordinates of the reflection of point R across the x-axis?
(-2, -3)
(-3, 2)
(-2, 3)
(2, -3)
The perimeter of a rectangle is 50cm. The length is 2 more than three times the width. What is the length of the rectangle?
The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.
The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution. Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.
Given that,
Perimeter = 2(l + b) = 50cm
And also given that,
l = 2 + 3b
Substituting the value of l in perimeter we get
2((2 + 3b) + b) = 50cm
2(2 + 4b) = 50cm
4 + 8b) = 50cm
8b = 50 - 4
b = 46/8
b = 5.75
Substituting the value of b in l, we get
l = 2 + 3(5.75)
l = 19.25
Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
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EVERY MONTH, MS. THOMAS PAYS HER CAR LOAN THROUGH
AUTOMATIC PAYMENTS(WITHDRAWLS) FROM HER SAVINGS
ACCOUNT. SHE PAYS THE SAME AMOUNT ON HER CAR LOAN
EACH MONTH. AT THE END OF THE YEAR, HER SAVINGS
ACCOUNT BALANCE CHANGED BY -$2,931 FROM PAYMENTS MADE
ON HER CAR LOAN.
WHAT IS THE CHANGE IN MS. THOMAS SAVINGS ACCOUNT
BALANCE EACH MONTH DUE TO HER CAR PAYMENTS?
Answer:
Step-by-step explanAnswer: -$1465.5
Ms. Thomas pays the 'same' amount as her car loan each month through car payments.
Total amount payed at the end of the year for car loan = -$2931
Change in Ms. Thomas' savings account each month (with respect to car loan) =
-2931/12 = -$244.25
So, to to calculate the total change to Ms. Thomas's savings account balance after paying for car loan for six months, we will simply multiply one month's amount with 6:
-$244.25 x 6 = -$1465.5ation:
Parallel Structure:Question 6
Which sentence uses parallel
structure correctly:
Select one:
Eggs, flour, and turning the oven to 350 degrees are needed for
baking the pie.
Eggs, flour, and having turned the oven to 350 degrees will be
needed to bake the pie.
Eggs, flour, and sugar are needed to bake the pie crust.
Eggs, flour, and turning the oven to 350 degrees are needed to
bake the pie crust.
parallel structure is used correctly in :
Eggs, flour, and sugar are needed to bake the pie crust.
In grammar, parallelism, also referred to as parallel structure or parallel construction, is the distribution of identical phrases or clauses with the same grammatical structure within one or more sentences.
The use of parallel structure is more of a stylistic option than a strict rule because it aids in the patterning of sentence elements.
The use of parallelism has an impact on reading and may facilitate text processing.
The rhythm and grammatical balance of a sentence are both guaranteed by using parallel construction.
However, if this structure is not used when creating a sentence with two or more pieces of information, the sentence will have a disruption in rhythm or grammatical imbalance.
Therefore, the correct answer is:
Eggs, flour, and sugar are needed to bake the pie crust.
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If a television is priced at $1,287.99, how much will you pay if the television is discounted by 12%?
Answer:
if the television is discounted by 12%
this implies,
if price of television is 100 we can buy it (100 -12) =88
if price of television is 200 we can buy it (200 -12.2) = 200 -24 = 176
we get it easily.
88/100 . 200 = 176 (. implies multiplication)
so,
If a television is priced at $1,287.99
88/100. $1,287.99= $1133.4312
Step-by-step explanation:
Answer:
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If 1 kilometer = 1000 meters, 5.6 km equals how many meters?
1 km : 1000 m = 5.6 km : x m
Answer: 5600 m
Step-by-step explanation:
if you multiply 5.6 with 1000, the answer will be equal to 5600.
Answer:
Step-by-step explanation: if 1km=1,000 meters
you can already do 5 x 1000 to get 5,000 which is part of your answer
to find the answer for .6 is to multiply it by 1,000 when multiplying with a decimal you take away a zero until the entire decimal is a whole number so for this problem you would remove 1 zero giving you 6 x 100 giving you the answer of 600
now you add 5,000 and 600 giving you 5,600 meters
answer:5,600 meters
PLEASE HELP ASAP
What are the equations of the asymptotes of the hyperbola?
(x+1)^2/25−(y−3)^2/16=1
The horizontal and vertical asymptotes of the hyperbola equation (x + 1)² / 25 - (y - 3)² / 16 = 1 are y = 4x / 5 + 19 / 5 and y = -4x / 5 + 11/5 respectively
Equation of AsymptotesAn asymptote of the curve y = f(x) or in the implicit form: f(x,y) = 0 is a straight line such that the distance between the curve and the straight line lends to zero when the points on the curve approach infinity. This can be said to be a line that a curve approaches but never touches.
Basically, we have three types of asymptotes which are horizontal asymptotes, vertical asymptotes and oblique asymptotes.
In the hyperbola equation given
(x + 1)² / 25 - (y - 3)² / 16 = 1
The equation of asymptotes are;
Horizontal asymptotes : y = 4x / 5 + 19 / 5
Vertical asymptotes : y = -4x / 5 + 11/5
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Evaluate the function below it’s a given output value of 8
f(x)=40/5x-1
Which of the following is a solution to this inequality?
y<2/3x+2
(0, 3)
(−3, 1)
(3, 5)
(1, 2)
Answer:
(d) (1, 2)
Step-by-step explanation:
You want to know which of the given points satisfies the inequality.
GraphWe find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)
__
Additional comment
Another way to choose the answer is to try each of the points in the inequality.
If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).
You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.