Answer:
112.5%
Step-by-step explanation:
This is fact
Felicia drew a triangle with side lengths that measured 15
cm, 18 cm and 27 cm. To determine if Felicia drew a right
triangle, she can use the equation:
O A. 15+18= 27
O B. 152 + 272 = 182
O C. 15 + 18 = 27
O D. 182 + 152 = 272
Answer:
A
Step-by-step explanation:
At Garland School, 3/5 of the 490 students are boys.
At Bowood School, 5/7 of the 945 students are girls.
Which school has the greater number of girls and by how many?
You must show your working.
Step-by-step explanation:
the bowood school by 455 kids
8.4\times 10^{-3}+4.7\times 10^{-2} 8.4×10 −3 +4.7×10 −2
The value of the expression (8.4 × 10^-3) × (7 × 10^-2) is 5.88 × 10^-4.
How to calculate the value of the expression?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.
The expression is given as:
(8.4 × 10^-3) × (7 × 10^-2)
= 0.0084 × 0.07
= 0.000588
= 5.88 × 10^-4
The value of the expression is 5.88 × 10^-4.
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At a concert hall, seats are reserved for 10 VIPs, but at a typical concert, 20% of the VIPs do not attend. The probability that 6 VIPs attend is ? The probability that 10 VIPs attend is . The probability that more than 6 VIPs attend is?
(Fill in the ?blanks)
Using the binomial distribution, it is found that:
The probability that 6 VIPs attend is of 0.0055 = 0.55%.The probability that 10 VIPs attend is of approximately 0.The probability that more than 6 VIPs attend is 0.0009 = 0.09%.What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.For this problem, the values of the parameters are:
n = 10, p = 0.2.
The probability that 6 VIPs attend is given by:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 6) = C_{10,6}.(0.2)^{6}.(0.8)^{4} = 0.0055\)
The probability that 10 VIPs attend is given by:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0\)
The probability that more than 6 VIPs attend is given by:
P(X > 6) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
Then:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 7) = C_{10,7}.(0.2)^{7}.(0.8)^{3} = 0.0008\)
\(P(X = 8) = C_{10,8}.(0.2)^{8}.(0.8)^{2} = 0.0001\)
\(P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} \approx 0\)
\(P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0\)
So:
P(X > 6) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0008 + 0.0001 + 0 + 0 = 0.0009.
The probability that more than 6 VIPs attend is 0.0009 = 0.09%.
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Solve the write an equation of the line that passes through a pair of points a. y=x+3 b. y=x-3 c. y=-x+2 d. y=-x-2
The equation of the line passing through the points (0,-2) and (2,0) is y = x - 2.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division, and can be represented using symbols and/or words. Equations are used to solve problems in mathematics, science, engineering, and other fields.
In the given question,
We can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope of the line passing through the points (0,-2) and (2,0):
slope = (change in y)/(change in x)
slope = (0 - (-2))/(2 - 0)
slope = 2/2
slope = 1
Now that we have the slope, we can use one of the given equations and substitute the coordinates of one of the points to find the y-intercept:
y = mx + b
-2 = 1(0) + b
b = -2
So the equation of the line passing through the points (0,-2) and (2,0) is y = x - 2.
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Help please fast geometry surface area!
Answer:
SA=2πrh+2πr2=2·π·12·3+2·π·122≈282.7cm2
Can anyone help me with this math please I will give brainlist
Answer:
4.5 > 4.420
0.67 < 0.8
0.82 = 0.820
62.4 > 6.24
0.13, 0.3, 0.303, 0.32
0.08, 0.8, 0.82, 8.2
24.54, 24.4, 24.304, 24.24
6.5, 6.25, 6.05, 6.007
Step-by-step explanation:
The most useful way to compare fractions is to add extra zeros at the end.
For example, 0.67 ___ 0.80.
0.80 is obviously bigger than 0.67.
In 24.4, 24.54, 24.304, 24.24, you can add extra zeros as well.
24.400, 24.540, 24.304, 24.240 (This makes it much easier to group the numbers, whether from largest to smallest or smallest to larger).
**REMEMBER TO REMOVE THOSE ZEROS AFTER FINDING YOUR FINAL ANSWER**
Please help need by tomorrow it would be very very very appreciated
The solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).
One method to solve the given system of equations is substitution:
- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).
- Substitute the expression for the variable into the other equation.
- Solve the resulting equation for the remaining variable.
- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable
Using this method with the given equations
- x - y = 9 -> x = 9 + y
- 3x + 2y = 22 -> 3(9 + y) + 2y = 22
- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1
- Substituting y = -1 into x = 9 + y: x = 8
To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.
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can u help me please
Answer:
x/3 ≥ 5
Step-by-step explanation: let me know if i m right
Answer: \(x/3 \leq 5\)
Step-by-step explanation:
If it is at most 5 that means it is lsls than or equal to 5.
So the inequality that represents this is \(x/3 \leq 5\).
Matching equations with diagrams & finding unknown angles #3
Which equation(s) and angle measurements go with the
diagram. Choose ALL that apply.
Find the value of a.
(Select all that apply.)
please help
Answer: a+51=90, a+51+90=180, 39
Step-by-step explanation:
a+51=90 works because the angles add to form a right angle.
a+51=180 does not work because the angles add to form a right angle, not a straight angle.
a+51+90=180 works because all those angles add to form a straight angle.
a+90=180 does not work because the unknown in this situation refers to a+51, not just a.
Solving the equation, we get a=39, so 39 is also an answer.
I need a answer asapppppppp
Answer:
0.97
Step-by-step explanation:
in this case the number 1 signifies 100 percent hence
1-0.03=0.97
:))) enjoy your day
In the Diagram segment ad bisects angle bac
Since segment AD bisects angle BAC, the value of x is equal to 14.6.
What is an angle bisector?In Mathematics, an angle bisector can be defined as a type of line, ray, or segment, that bisects or divides a line segment exactly into two (2) equal angles.
By applying the angle bisector theorem to this triangle (ΔABC), we have:
AB/BD = AC/DC
19/x = 17/(20 - x)
17x = 19(20 - x)
17x = 380 - 19x
19x + 17x = 380
26x = 380
x = 380/26
x = 14.6.
In conclusion, we can reasonably infer and logically deduce that the value of x in triangle ABC is 14.6.
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How is 1/8 bigger than 1/10
Answer:
Step 1: Compare denominators. If they are different, rewrite one or both fractions with a common denominator. Step 2: Check the numerators. If the denominators are the same, then the fraction with the greater numerator is the greater fraction.
Step-by-step explanation:
I add 12 to a certain number and then double the result. The answer is 42. Find the original number
Given α and β are Supplementary. Show the necessary steps.
If α =3/2β then, what is α = ? and what is β = ?
Answer:
\( \alpha = 108\degree, \: \beta = 72\degree \)
Step-by-step explanation:
α and β are Supplementary (given)
\( \therefore \alpha + \beta = 180\degree.... (1)\)
It is given that:
\( \alpha= \frac{3}{2} \beta\)
Plugging the value of α in equation (1), we find:
\( \frac{3}{2} \beta + \beta = 180\degree\)
\(\therefore \frac{3+2}{2} \beta = 180\degree\)
\(\therefore \frac{5}{2} \beta = 180\degree\)
\(\therefore \beta = 180\degree\times \frac{2}{5}\)
\(\therefore \beta = 72\degree\)
\(\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree \)
So,
\( \alpha = 108\degree, \: \beta = 72\degree \)
Consider the following polynomial:
-2a^3b^2+5ab^5+7b4+8
What is the degree, leading coefficient, constant, and leading term of this polynomial?
*(Can you please show or tell me step by step on how u got there, please)
Answer:
degree: 5
leading coef: 5
constant: 8
leading term: 5ab^5
Step-by-step explanation:
degree is highest exponent leading coef is number in the term w highest exp, constant is the number with no variables attached and leading term is term w highest exp
(c) explain what would happen to the length of the interval if the confidence level were... (i) increased to 99% (ii) decreased to 80%
If the confidence level were increased to 99%, the width of the confidence interval increases, when decreased to 80%, the width of the confidence interval decreases.
What is confidence interval?A confidence interval provides a range of estimated values for a population parameter's real value. A confidence level is connected to confidence intervals. The width of the confidence interval grows as the confidence level increases. The width of the confidence interval reduces as the confidence level goes down.
Since the margin of error grows as the confidence level does as well, the confidence interval will be bigger. Hence it increases for 99% and decreases for 80%.
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A waitress earns $140 per week plus a 18% of the cost of all the food she serves. If her
customers order "x" dollars of food in a given week, which equation can be used to
determine her total weekly earnings?
Answer:
She earns $252 per week
Step-by-step explanation:
first 140×18÷100 bcoz the vlaue of percent is aways 100 so, the answer is $252 per week
enjoy bro
15 points to who can give me the answer to #5 on the picture below
Answer:
a) A'= (8,7)
B'=(10,-6)
C'=(2,-3)
b) A"=(-4,-5)
B"=(-6,8)
C"=(2,5)
(2x/3)-(5x/9)-(x/6)-(5x/12)=13/2 this equation is equivalent to:
-9x=468
-17x=234
-13x=234
Answer:
-17x=234
Step-by-step explanation:
Given that:
\(\dfrac{2x}{3}-\dfrac{5x}{9}-\dfrac{x}{6}-\dfrac{5x}{12}=\dfrac{13}{2}\)
\(\dfrac{72x-60x -18x-45x }{108} = \dfrac{13}{2}\)
\(\dfrac{-51x }{108} = \dfrac{13}{2}\)
\(-102x = 1404\)
\(-\dfrac{102x}{6} = \dfrac{1404}{6}\)
-17x = 234
Iris's checking account pays simple interest at 4% per year. She has $180 in her account. Write a linear function to model the amount of money in her checking account at any time t.
A(t)=
The amount of money in Iris's checking account can be modeled by a linear function of the form:
y = mt + b
where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.
In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:
y = 0.04t + 180
For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.
how do I get upper and lower quartile ranges
Answer:
This is what I always did
1. Order the data from least to greatest
2. Find the median
3. Find the lower quartile
4. Find the upper quartile
And that is how I always found the ranges
Pls help me asap :((
Answer:
last one is correct
Step-by-step explanation:
kkk
Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.
What is the direct proportional relationship?In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.
The following are the proportional relationships for the distances:
Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.For a total distance of 32 miles, the distances walked and run are given:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.
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ab that goes through points (0,14)
Write an
exponential function in the form y
and (3,4802).
Answer:
y=ax, y»a
Step-by-step explanation:
that means that gradually the lines going up instead of going down and the step by step function will give you two set of points in the graph that will be your your center point
Our family has a small pool for relaxing in the summer that holds 1500 gallons of water. I
decided to fill the pool for the summer. When I had 5 gallons of water in the pool, I decided
that I didn't want to stand outside and watch the pool fill, so I wanted to figure out how
long it would take so that I could leave, but come back to turn off the water at the right
time. I checked the flow on the hose and found that it was filling the pool at a rate of 2
gallons every 5 minutes. How many gallons of water will be in the pool after 50 minutes?
How many minutes will it take to fill the pool? Justify your answer with a mathematical
model of the problem situation.
1) the mathematical model for given situation is f(t) = 2t + t, where t is the time in minutes
2) the amount of water in the pool after 50 minutes = 105 gallons
3) and the amount of time required to fill the pool = 12 hours 46 minutes
In this question,
a small pool hold 1500 gallons of water.
When there's is 5 gallons of water in the pool, the person decided
that not to stand outside and watch the pool fill.
This means, from the time he had decided, the amount of water in the pool = 5 gallons.
the water was filling the pool at a rate of 2.
Let t be the time in minutes.
So, the amount of water in the pool after 't' minutes would be,
f(t) = 2t + 5
We get an mathematical model for given situation,
f(t) = 2t + 5, where t is the time in minutes
We need to find the amount of water in the pool after 50 minutes
For t = 50 minutes
f(50) = 2(50) + 5
f(50) = 100 + 5
f(50) = 105 gallons
Also, we need to find the amount of time required to fill the pool.
1500 = 2t + 5
1495 = 2t
t = 747.5 minutes
t = 12 hours 46 minutes
Therefore, 1) the mathematical model for given situation is f(t) = 2t + t, where t is the time in minutes
2) the amount of water in the pool after 50 minutes = 105 gallons
3) and the amount of time required to fill the pool = 12 hours 46 minutes
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Evaluate the function.
f(x) = 3x² + 5x – 14
Find f(-3)
Answer:
PLZ HELP I CANT DO THIS QUESTION!!!!
Step-by-step explanation:
(A) (In the fig. triangle represented by small triangle with angle of elevation 30° and height h1 ) ( Using this explanation since the figure is not marked)
\(tan30 = \frac{h1}{40} \)
\(h1 = \frac{40}{\sqrt{3} } m\)
(B) (In the fig. triangle represented by small triangle with angle of depression 58° and height h2 )
\(tan58 = \frac{h2}{40} \)
\(h2 = 64m\)
(C)
\(Height \: of \: Building \: A = h2 = 64m\)
\(Height \: of \: Building \: B = h1+h2 = (64 + \frac{40}{ \sqrt{3} } )= 87m\)
Evaluate the left hand side to find the value of aa in the equation in simplest form.
x^2/3 x^1/2 = x^a (there exponents)
Answer: 7/6
Step-by-step explanation:
\(x^{2/3}x^{1/2}=x^{\frac{2}{3}+\frac{1}{2}}=x^{7/6}\)
find the smallest value of k, such that 693k is a perfect cube.
Answer:
MGMHMHMHNHMMJMMMH
BSEHEJR
Answer:
\(\frac{8^3}{693}=\frac{512}{693}\quad \left(\mathrm{Decimal:\quad }\:0.73881\dots \right)\)
Step-by-step explanation: