Answer:
(a) p = 7
Step-by-step explanation:
The given parameters are;
p, (p - 5), (p - 2), (p - 3), and (2·p - 5) is 5.84
(a) Therefore we have;
The mean of the numbers = (p + (p - 5) + (p - 2) + (p - 3) + (2·p - 5))/5 = (6·p - 15)/5
The mean of the numbers = (6·p - 15)/5 = 6/5·p - 3
Using an online tool, we have;
The variance = (p - (6/5·p - 3))² + ((p - 5) - (6/5·p - 3))² + ((p - 2) - (6/5·p - 3))² + ((p - 3) - (6/5·p - 3))² + ((2·p - 5) - (6/5·p - 3))²/5 = 4/25·p² - 4/5·p + 18/5 = 5.84
Therefore, we have;
4/25·p² - 4/5·p + 18/5 = 5.84
4/25·p² - 4/5·p + 18/5 - 5.84 = 0
4/25·p² - 4/5·p - 2.24 = 0
Using the quadratic formula, we have;
p = (4/5 ± √((4/5)² - 4× 4/25×(-2.24)))/(2 × 4/25)
Which gives;
p = 7, or p = -2
Given that the numbers are positive, we have the only solution as p = 7
What set of numbers is arranged from largest to smallest? (Mind the blue on one of the answers)
Answer:
B
Step-by-step explanation:
it orders the negative things in the top right correctly because the bigger the negative number in the top right the lower the number is aka the greater of a negative number there is
166 2/3 percent as a fraction
The fraction is 5000/3.
What is Percent?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.
Given:
166 2/3 percent as a fraction
Now, converting it into fraction
= 500/3 x 100
= 50000/3
Hence, the fraction is 5000/3
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An exam worth 388 points contains 65 questions. Some questions are worth 4 points and the others are worth 8 points. How many 4 point questions are on the test?
Answer:
33 questions.
Step-by-step explanation:
Let x = 4 points questions.
Let y = 8 points questions.
Translating the word problem into an algebraic equation;
For the total number of questions;
[tex] x + y = 65[/tex] .........equation 1
For the total number of points;
[tex] 4x + 8y = 388[/tex] ..........equation 2
Given the following data;
Total number of questions = 65
Total number of points = 333
Solving the linear equation by using the substitution method;
Making x the subject in equation 1:
[tex] x = 65 - y[/tex] .......equation 3
Substituting "x" into equation 2;
[tex] 4(65 - y) + 8y = 388[/tex]
Simplifying the equation, we have;
[tex] 260 - 4y + 8y = 388[/tex]
[tex] 260 + 4y = 388[/tex]
Rearranging the equation, we have;
[tex] 4y = 388 - 260[/tex]
[tex] 4y = 128[/tex]
[tex] y = \frac {128}{4} [/tex]
y = 32 (For the 8 points question).
Substituting "y" into equation 3;
[tex] x = 65 - 32[/tex]
x = 33 (For the 4 points question).
Therefore, the number of 4 point questions on the test are 33 questions.
If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed
what is 6 1/10 plus 5 4/5 ASAP please
Answer:
11 9/10
Step-by-step explanation:
6 + 5 = 11
1/10 + 4/5
1/10 + 8/10 = 9/10
11 + 9/10 = 11 9/10
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Answer: Answer: The answer should be 11 9/10.
1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D
Answer:
B
Step-by-step explanation:
.99*6= 5.94
Answer:
B. 5.94
Step-by-step explanation:
A. -2
B. -1/2
C. 1/2
D. 2
PLZZZZZZZZ HELP WILL MARK YOU
PLZZZZZZZZZZZ
The table below shows the amounts of lime juice and sugar used in each container of limeade. The ratio of lime juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.
Lime Juice Sugar
one-fifth cup 1 cup
2 cup 10 cup
3 cup 15 cup
ANSWERS
one-fifth
4
two-thirds
5
Answer:
5
Step-by-step explanation:
For every one cup of lime juice, there is 5 cups of sugar.
Answer:
i think its one-fifth
Step-by-step explanation:
i hope my math is right
If G is the circumcenter of triangle ABC, find CG and FB. Round to the nearest tenth if necessary.
PLS HELP FOR GEOMETRY
9514 1404 393
Answer:
CG = 19
FB = 14.7
Step-by-step explanation:
The circumcenter is equidistant from the triangle vertices, so GA = GB = GC.
The length of GA is given, so we have ...
GA = 19 = CG
__
Then the Pythagorean theorem can be used to find FB.
FB² +FG² = GB²
FB² = GB² -FG² = 19² -12² = 217
FB = √217 ≈ 14.7
44% of the books are fairy tales. What fraction of the books are fairy tales (Give your answer in simplest form e.g. 10/11)
Answer:
[tex]\frac{11}{25}[/tex]
Step-by-step explanation:
44% can also be written as a fraction: [tex]\frac{44}{100}[/tex]
To simplify this fraction, let's divide the numerator and the denominator by 4:
44/4 = 11
100/4 = 25
The simplest form of the fraction of books that are fairytales is [tex]\frac{11}{25}[/tex]
A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT
Answer:
The inner surface area of a hemispherical bowl will be: 1923.25 cm²
Step-by-step explanation:
Given
d = 35 cm
as
[tex]r=\frac{d}{2}[/tex]
[tex]=\frac{35}{2}[/tex]
[tex]= 17.5[/tex] cm
The inner surface area of a hemispherical bowl = 2πr²
[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]
[tex]=6.28\:\times \:17.5^2[/tex]
[tex]=1923.25[/tex]
Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²
(04.01) Which unit rate is equivalent to 13 miles per gallon? A: 26 miles 2 gallons. B: 2 gallons 26 miles. C 39 miles 4 gallons. D: 4 gallons 39 miles.
Answer:
A 26 miles per 2 gallons
Helps me solve this problem please
Answer:
(1,1) and (-2,-11) are the correct solutions
Answer:
D. (1, 1) and (-2, -11)
Step-by-step explanation:
A's answers:
Coordinates: (0, -3) and (-1, -1)
Equations when they get solved:
4(0)-3=-3 (correct)
4(-1)-3=-1 (incorrect)
B's answers:
Coordinates: (-2, -5) and (2, 5)
Equations when they get solved:
4(-2)-3=-11 (incorrect)
4(2)-3=5 (correct)
C's answers:
Coordinates: (0, 3) and (3, 9)
Equations when they get solved:
4(0)-3=-3 (incorrect)
4(3)-3=9 (correct)
D's answers:
Coordinates: (1, 1) and (-2, -11)
Equations when they get solved:
4(1)-3=1 (correct)
4(-2)-3=-11 (correct)
PLEASE HELP 15 POINTS N BRAINLIEST
Answer:
OK don't worry we will help you get 15 points
A line passes through the point (4, -8) and has a slope of -5/4. Write an equation in slope-intercept form for this line.
Answer:
The answer is
[tex] \huge y = - \frac{5}{4} x - 3[/tex]
Step-by-step explanation:
To find an equation of a line in when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y + 8 = - \frac{5}{4} (x - 4) \\y + 8 = - \frac{5}{4} x + 5 \\ y = - \frac{5}{4} x + 5 - 8[/tex]
We have the final answer as
[tex]y = - \frac{5}{4} - 3 \\ [/tex]
Hope this helps you
Simplify fully 4x^2+4x/2x^2-2
Answer:
Simplify the expression.
2x³ + 4x² − 2
The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?
A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.
B. Customers pay 10$ per-mile, and then $1.35 per mile afterwards
C. Customers pay $1.35 initially, and then another $10 for every mile traveled.
D. Customers pay $10 initially, and then another $1.35 for every mile travled
Answer:
C.
Step-by-step explanation:
X is the number miles driven so C. is the BEST answer choice.
Answer:
Its C
Step-by-step explanation:
A baby crawls 2cm/min for 10 mins
Answer:
So....
Step-by-step explanation:
can you complete your answer please?
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPP!!!!
Select the missing property.
(9+3)v
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Distributive property
Answer:
Associative property of addition
Step-by-step explanation:
yes
What type of correlation is the graph below?
a
no correlation
b
quadratic correlation
c
negative
d
positive
What is the y-intercept of function f?
Answer: it’s not 5 I got that wrong
Step-by-step explanation:
y-intercept of function f is 1.
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given function
f(x) = -3x -2 , -∞ < x < -2
= -x + 1, -2 ≤ x < 3
= 2x + 5, 3 ≤ x < ∞
For y-intercept, x =0, f(x) = -x + 1 [∵ -2 < 0 < 3]
f(0) = -0 + 1
= 1
Hence, y-intercept of function f is 1.
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i need help on this please
HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0
Write an equation in Standard Form (Ax +By = C) of a line that passes through the point (2, -3) and has a slope of 4
Answer:
The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.
Step-by-step explanation:
The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.
To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:
y - (-3) = 4(x - 2)
Now, simplify:
y + 3 = 4x - 8
Next, bring all the terms to the left side of the equation to get the standard form:
4x - y = 8 - 3
Finally, simplify the constant term:
4x - y = 5.
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A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student?
Answer:
Average speed is 15km/hStep-by-step explanation:
Step one:
given data:
total distance =7.5km
time taken= 30 min= 0.5 hours
we know that the average speed is the average distance divided by time taken
Step two:
mathematically expressed as
speed=distance/time
substituting we have
speed=7.5/0.5
speed=15km/hour
Hence the average speed is 15km/h
Which function represents a reflection of f(x) = 3 (2)* over the x-axis? O g(x) = -3(2) g(x) = (-2)" O g(x) === O g(x) = {(2)
Answer: The answer is A on edgenity!
Step-by-step explanation:
Answer:A is right
Step-by-step explanation:
(50 points) Suppose the light pattern from a fog light can be modeled by the equation x^2/25 - y^2/9=1. One of the points on the graph of this equation is at (6, 3 sqrt 11/5), and one of the x-intercepts is -5. Which coordinate is not a point on the graph?
Answer:
Both points are on the graphStep-by-step explanation:
Given function
x^2/25 - y^2/9 = 1To find
Check if given points are on the graph (6, 3 sqrt 11/5) and (-5, 0)Solution
Verifying the points are on the line by substituting values of x and y:
1.............................
6^2/25 - (3√11/5)²/9 = 136/25 - 11/25 = 125/25 = 11 = 1Correct2.............................
(-5)^2/25 - 0^2/9 = 125/25 - 0 = 11- 0 = 11 = 1CorrectAnswer:
B
Step-by-step explanation:
Edge 2021
A caterer made 4 grilled cheese sandwiches, 7 ham sandwiches, and 6 turkey sandwiches. How many sandwiches did the caterer make in all?
Answer: 17
Just add the Numbers together this is a Addition question.
7 + 6 + 4 Or However you want to do it The answer will always be 17 if u do it as 4 + 6 + 7 or however else just don't add different numbers.
May I Have brainliest?
6/5 divded by (-3/2)
Answer:
Step-by-step explanation:
6/5 ÷ -3/2 = 6/5 x -2/3
-12/15 = - 0.08
Answer:
− 4/5 or −0.8
Step-by-step explanation:
[tex] \sqrt[4]{(132) \div (143)} - 2[/tex]
simplify plz fast
Answer:
Step-by-step explanation:
Answer:
fourth root of 12*13^3
-------------------------------- - 2
13
Step-by-step explanation:
First focus on the 132/143 expression inside the 4th root function.
132/143 = 12/13
and so we have:
fourth root of 12/13 - 2
We must rationalize the denominator of the expression shown above. In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13. To do this, multiply that 12 by 13^3 and that 13 by 13^3:
12*13^3
fourth root of { -------------- }
13^3*13
This simplifies to:
fourth root of 12*13^3
--------------------------------
13
To obtain the final answer, subtract 2 as shown in the original problem:
fourth root of 12*13^3
-------------------------------- - 2
13