Answer:
0.445 as a fraction in simplest form: 89/200
0.445 as a percent: 44.5%
Step-by-step explanation:
Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many
kilometers did run in all?
Answer:
Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many
kilometers did run in all?
Step-by-step explanation:
Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many
kilometers did run in all?
Answer:
9.68 kilometers
Step-by-step explanation:
A basketball team has 12 players. For the last game of the season the coach will randomly select 5 players to start the game. The first player selected is the center, the second player selected is the power forward, the third player selected is the forward, the fourth player selected is the shooting guard, and the fifth player selected is the point guard. Determine the number of different ways the coach can pick up he line of the game
The number of different ways the coach can pick up the line of the game is 792 ways
Step-by-step explanation:
Let n- number of players, r-selection of players.
We can select them using Combination: nCr = 12C5
Combination formula nCr =\(\frac{n!r!}{ (n-r)!}\) = 12C5 = \(\frac{12!5!}{(12-5)! }\)
=\(\frac{12!5!}{ 7!}\)
= 792ways
The number of different ways the coach can pick up the line of the game is 792 ways.
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question is in the picture
The formula of the area of the trapezium as subject to x is,
x = 2A/h - y.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
The area of the trapezium,
A = (1/2)h(x + y)
To make x the subject of the equation:
2A/h = (x + y)
2A/h - y = x
x = 2A/h - y
Therefore, the formula is x = 2A/h - y.
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wants to tile the surface of a rectangular storage case that is inches long, inches wide, and inches tall. If he uses all green tiles, how many tiles will he need?
The surface area of the rectangular prism is 396 square inches
He will need 504 tlles
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
7 in by 12 in by 6 in
The surface area of the rectangular prism is calculated as
Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)
Evaluate
Area = 396
Hence, the area is 396 square inches
The number of tiles is 7 * 12 * 6 = 504
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Question
wants to tile the surface of a rectangular storage case that is 7 inches long, 12 inches wide, and 6 inches tall. If he uses all green tiles, how many tiles will he need?
Given g(x) = –2 + 4, find g(5)?
To which sets does 13 belong too??
Answer: 13 is in C (the set of complex numbers)
Step-by-step explanation:
13 is in R (the set of real numbers)
13 is in Q (the set of rational number)
13 is in Z (the set of integers)
13 is in N (the set of natural numbers)
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
2,037 divided by 39 with the remaining
Answer:
53 remainder 23
= 53 23/38
Step-by-step explanation:
Answer:
52 with 9 remaining
Step-by-step explanation:
When dividing this, we find that our whole number we are going to multiply with is 52, and if it was 53 it would be over 2,037. So, we multiply 39 by 52 and get 2,028, which is an extra of 9 remaining.
When peanuts are packaged in their shells, most shells have two peanuts inside, but some have three and some only have one. A quality control inspector wants to determine if more than 10% of all shells contain just one peanut. If the inspector were to conduct a hypothesis test for p, the proportion of shells with just one peanut, what would be the appropriate pair of hypotheses for the inspector to use
Answer:
c- H0: p = 0.1 and Ha: p > 0.1
Step-by-step explanation:
What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
You measure 48 backpacks' weights, and find they have a mean weight of 70 ounces. Assume the population standard deviation is 6.4 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.
Give your answers as decimals, to two places
The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.
To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).
Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.
Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:
Confidence Interval = 70 ± (2.576 * 6.4 / √48).
Simplifying the expression, we get:
Confidence Interval ≈ 70 ± 1.855.
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Given: m = 1 2 and b = 4
The slope and y-intercept for a linear equation are given. Which graph matches this information?
A)
B)
C)
D)
Answer:
the answer is A im not sure tho
Step-by-step explanation:
if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8
there goes your answer.
Please help I was sick and missed out on class.Thank you
Answer:
Step-by-step explanation:
Pick 2 points then calculate the rise over run to get the slope.
Say (2,4) & (5,5)
The rise (y) value is +1. The run (x) is +3.
Putting the rise OVER the run gets you
1/3.
The slope is 1/3.
Eliminate the y in the following system of equations. What is the result when you add the two equations? \(x + y = 8 \\ 5x - 3y = 24\)A: 6x = 32B: 8x = 32 C: x = 0D: 8x = 48
EXPLANATION
x + y = 8 ----------------------------------------(1)
5x - 3y = 24 ------------------------------------------(2)
If we are to eliminate y in the equations, we first need to multiply through equation (1) by 3.
3x + 3y = 24 ----------------------------------------(3)
Add equation (2) and equation (3).
If we add equation(1) and equation(3) together, -3y will cancel-out 3y.
(5x + 3x) = (24 + 24)
8x = 48
Therefore, the correct option is D. 8x = 48
6*x= 18
Pls answer I will give brainliest
Answer:
\(x=3\)
Step-by-step explanation:
\(6x=18~(Given)\\\\\frac{6x}{6}=\frac{18}{6}~(Divide~6~on~both~sides)\\\\x=3~(Simplify)\)
Answer:
If the question is 6x = 18 meaning 6 multiplied by X is the same as 18, then the answer is 2
If the question is 6 to the power of X is the same as 18, the answer is 1.61314719
So I think your question is the first one lol
Step-by-step explanation:
6 multiplied by what number is 18?
6 multiplied by 2 is 18
So X must equal 2
I hope this helped! Brainliest if it did? No pressure!
have a great day! :D
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5 ft at midnight, rises to a high of 9.5 ft, falls to a low of 0.5 ft, and then rises to 5 ft by the next midnight.
Give the value of each given that x represents time in hours since the beginning of the 24 hour period that models the situation.
Answer:
Step-by-step explanation:
The tide over a 24-hour period can be modeled by a sinusoidal function of the form:
f(x) = A * sin(Bx) + C
where A is the amplitude, B is the frequency, and C is the vertical shift.
To determine the values of A, B, and C, we need three points. Let's use the following points:
(0, 5): This is the value of the tide at midnight, 5 ft.
(12, 9.5): This is the value of the tide at its high, 9.5 ft.
(6, 0.5): This is the value of the tide at its low, 0.5 ft.
Using the first point (0, 5), we can calculate the vertical shift, C:
C = 5
Using the second point (12, 9.5), we can calculate the amplitude, A:
A = (9.5 - 5) / 2 = 2.25
Using the third point (6, 0.5), we can calculate the frequency, B:
0.5 = 2.25 * sin(B * 6) + 5
4.5 = 2.25 * sin(B * 6)
2 = sin(B * 6)
B * 6 = sin^-1(2)
B * 6 = pi / 2
B = pi / (2 * 6) = pi / 12
So, the final equation is:
f(x) = 2.25 * sin(pi * x / 12) + 5
This represents one period of the sinusoidal function that models the tide over a 24-hour period, with time x measured in hours since midnight.
Mr. Crowder wants to get a new fit for class. He finds some Gucci glasses on sale for 20% off. If the glasses originally cost $240, what will the sales price be?
A)$192
B)$48
C)$288
D)$220
Answer:
A) 192
Step-by-step explanation:
20% = 0.2
240(0.2) = 48
This means $48 will be taken from the original price so:
240 - 48 = 192
Please help if you know how to do this, thanks
9514 1404 393
Answer:
1. see the first attachment for a graph; quadrants I, II, III; vertex (-3, -4); x-intercepts -5, -1; graph is dashed line, shaded inside the parabola, which opens up
2. see the second attachment for a graph; all quadrants; vertex (1, 2); x-intercepts 1±√2; graph is a solid line, shaded outside the parabola, which opens down; (-7, 0) is a solution
Step-by-step explanation:
1. The boundary expression is in vertex form, so the vertex can be read directly.
y = (x -h)^2 +k . . . . . . parabola with vertex (h, k)
y > (x +3)^2 -4 . . . . . (h, k) = (-3, -4)
The leading coefficient is +1, a positive number, so the parabola opens up. The relation is y > ( ), so values of y above the dashed line will be shaded. Those values are inside the parabola. The points (0, 0) and (-7, 0) are not in the shaded area, so are not solutions.
__
2. Again, the boundary expression is in vertex form, so the vertex can be read directly.
y ≥ -(x -1)^2 +2 . . . . . (h, k) = (1, 2)
The x-intercepts are found by solving for x when y=0:
0 = -(x -1)^2 +2
x -1 = ±√2
x = 1±√2
The leading coefficient is -1, so the parabola opens downward. The relation is y ≥ ( ), so y-values above the solid line will be shaded. Those values are outside the parabola. Point (0, 0) is not a solution. Point (-7, 0) is a solution.
_____
Additional comment
As with the graph of any inequality, the boundary line is solid when the "or equal to" case is part of the relation. If the relation is strictly "greater than" or "less than", then the boundary line is dashed.
Help help help math please last one be honest
Answer:
122 degrees
Step-by-step explanation:
The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.
Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.
When keeping these two things in mind, you can solve like this:
180 = angle3 + 58
180 - 58 = angle3
angle3 = 122
122 degrees
PLEASE HELP IT'S DUE SOON
Solve for k
6/7k + -1/6 = -9 - -3/5k
Show steps please
Given that ZASZC and BD bisects ABC, What two reasons would be used to finish the proof to prove that
AB EOB? Select only two,
Statements
Reasons
1. ZAC
1 Given
2. mLABD CBD
2. BD bisects LABC
A
3. BD BD
3. Reflexive Property
4. AABD ACBD
4.
5. ABS CB
5.
?
Answer:
cpctc and aas
Step-by-step explanation:
If u look at it there is only 2 angles and one side (aas) and cpctc because it saying that since we know it congruent then we know that ab is equal to cb
Solve for y.
4y2 = 7y+2
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution."
Answer:
y=-1/4, 2.
Step-by-step explanation:
4y^2=7y+2
4y^2-7y-2=0
factor,
(4y+1)(y-2)=0
zero property,
4y+1=0, y-2=0,
4y=0-1=-1,
y=-1/4,
y=0+2=2.
What is the equation of the line that passes through the point (-8,5) and has a slope
of o?
Answer: y = 5
Step-by-step explanation:
If the slope is 0, the graph of the line is a horizontal line (parallel to the x-axis). 0 slope means it is flat.
Here it passes through the y-axis at +5 and passes through every value of x.
Write the expression. With a single base and single positive exponent then simplify. The base price is ?The exponent is ?This simplifies to ?
given :
\(y^{-4}(y^2)^2\)let us simplify.
\(\begin{gathered} =y^{-4}(y^2)^2 \\ =y^{-4}y^4 \\ =y^{-4+4} \\ =y^0 \\ =1 \end{gathered}\)The base is y
The exponent is 0
This simplifies to 1.
JKLM is a rhombus.
m/JMN = (-x+69)*
mZLMJ = (-6x +166)
K
N
M
Find the mZLKN.
label optional
The angle LKN in the rhombus is 62 degrees.
How to find angles in a rhombus?A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.
Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.
Therefore, let's find ∠LKN as follows:
m∠JMN = (-x + 69)
m∠LMJ = (-6x + 166)
Therefore,
1 / 2 (-6x + 166) = -x + 69
-3x + 83 = -x + 69
-3x + x = 69 - 83
-2x = -14
x = -14 / -2
x = 7
Therefore,
∠LKN = 1 / 2 (-6x + 166)
∠LKN = 1 / 2 (-6(7) + 166)
∠LKN = 1 / 2 (-42 + 166)
∠LKN = 62 degrees
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Michael needs to save a 15 percent down payment for a car he wants to buy. He knows that cars of this make and model tend to sell for about $19,000. How much will he need to save?
Answer:
15 minutes or less can save you 15% or more on car insurance
Step-by-step explanation:
Gieko
Consider the following equation:
cos x = x^3
Use your calculator to find an interval of length 0.01 that contains a root. (Enter your answer using interval notation.)
If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]
The given equation is
cos x = x^3
Move the term x^3 to the left hand side of the equation
cos x - x^3 = 0
Therefore the equation will be
f(x) = cos x - x^3
Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem
Plot the function in the graph
From the graph, we can see that the value of
x = 0.865
The interval of length = 0.01
Then the intervals will be 0.86 and 0.87
Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]
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Toby kept track of the number of hours that he spent playing the trumpet each week for several weeks. He spent 1, 3, 5, 4, and 7 hours What is the range of the data set? A. 7 hours B. 6 hours C. 4 hours D. 5 hours
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 6 hours
Explanation:
7-1 = 6
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
6
Step-by-step explanation:
trust me i used a range calculator
pls mark brainliest
Suppose you have a 6-face unfair dice with numbers 1,2,3,4,5,6 on each of its faces. If the probability distribution of throwing a number up is as follows:
1 with probability 1/12
2 with probability 1/12
3 with probability 1/12
4 with probability 1/12
5 with probability 1/12
6 with probability 1/2
Which of the following statement is correct?
a. The mathematical expectation of the dice throwing a number up is 3.5
b. The mathematical expectation of the dice throwing a number up is 6
c. The mathematical expectation of the dice throwing a number up is 4.25
d. This is not a proper probability distribution because all the probabilities do not sum up to one
Answer:
D is correct
Step-by-step explanation:
Here, we want to select which of the options is correct.
The correct option is the option D
Since the die is unfair, we expect that the probability of each of the numbers turning up
will not be equal.
However, we should also expect that if we add the chances of all the numbers occurring together, then the total probability should be equal to 1. But this does not work in this case;
In this case, adding all the probabilities together, we have;
1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/2
= 5(1/12) + 1/2 = 5/12 + 1/2 = 11/12
11/12 is not equal to 1 and thus the probability distribution cannot be correct
You are the manager of a rental car company. A customer, Sandy Furrow, has asked you for an estimate of charges for a nine day rental of an SUV. She expects to drive 670 miles. If the company charges $55.50 per day plus 15 1/2 cents
per mile for this category of vehicle, what would be the total rental charge (in $) for Sandy's trip?
The total cost of her trip will be of $159.7.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.
given:
Cost of 16 cents per mile= 16/100 = 0.16
Cost of $52.50 per day =52.50
linear function for the charge y in function of the number of miles x is:
y(x) = 0.16x + 52.50
The cost of driving 670 miles
So, y(670) = 0.16 x 670 + 52.50
y(670) = 107.2 + 52.50
y(670) = 159.7
Hence, The total cost of her trip will be of $159.7.
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