Answer:
1/4
Step-by-step explanation:
There are 80 students.
25 are girls and 55 are boys.
10 are foreigners and 70 are Nepalese.
62.5% are Nepalese boys.
This means that the number of Nepalese boys is:
62.5/100 * 80 = 50
There are 50 nepalese boys and so there are 20 nepalese girls.
The probability of selecting a Nepalese girl is therefore:
20 / 80 = 1/4
Given p(x) = x4 + x3 - 13x2 - 25x - 12
1. What is the remainder when p(x) is divided by X - 4?
2. Describe the relationship between the linear expression and the polynomial?
How do we describe the relationship?
can someone help me with this question?l
Answer:
1. 32x³ - 25x² + 35x2. 6x - 11y + 14z - 7Step-by-step explanation:
1).(4x³ - 5x² + 3x ) - 4(5x² - 7x³ - 8x)
Remove the brackets and simplify.
We have
4x³ - 5x² + 3x - 20x² + 28x³ + 32x
Group like terms and simplify
That's
4x³ + 28x³ - 5x² - 20x² + 3x + 32x
We have the final answer as
32x³ - 25x² + 35x2).- 3 - ( 4x + 3y - 2z ) - 4 + 2( 5x - 4y + 6z)
Remove the brackets and simplify
That's
- 3 - 4x - 3y + 2z - 4 + 10x - 8y + 12z
Group like terms and simplify
- 4x + 10x - 3y - 8y + 2z + 12z - 3 - 4
We have the final answer as
6x - 11y + 14z - 7Hope this helps you
An airplane descends during the last hour of it's flight to prepare for landing. It's altitude changes at an average of -0.15 km per minute for those 60 minutes. (What is the product) How does the elevation of the airplane change in that hour? The elevation of the airplane _________ by ______ km. increases 60 decreases 9 0.15
WILL GIVE BRAINLIEST, THANKS AND FIVE STARS
Answer:
The elevation of the airplane decreases by 9 km.
Step-by-step explanation:
We use the distance-rate-time formula: d = rt.
Here, the rate is r = 0.15 km/min and the time is t = 60 min. Simply plug these into the formula:
d = rt
d = 0.15 * 60 = 9 km
So, the change in elevation in the last 60 minutes is 9 km. However, note that the rate is negative (-0.15 km/min), which means that the elevation actually is decreasing.
Thus, the answer is: the elevation of the airplane decreases by 9 km.
~ an aesthetics lover
Answer:
The elevation of the airplane _decrease_ by __9____ km
Step-by-step explanation:
Take the rate and multiply by the time to get the distance traveled
-.15 km per minute * 60 minutes
- 9 km
The plane will go down 9 km in that 60 minutes
ALGEBRA HELP PLEASE THANKS Evaluate the expression using exponential rules. Write the result in standard notation. [tex]\frac{4 x 10^{-4} }{20 x 10^{2} }[/tex]
Answer:
[tex]2 \times 10 {}^{ - 7} [/tex]
Step-by-step explanation:
[tex] \frac{4 \times 10 {}^{ - 4} }{20 \times 10 {}^{2} } = \frac{0.0004}{2000} = 2 \times 10 {}^{ - 7} [/tex]
Hope this helps ;) ❤❤❤
Which equation describes the line graphed above?
Answer:
D: y = 2/3x + 4
Step-by-step explanation:
hope this helps :)
Which of the following values cannot be probabilities? 3 / 5, , , , , , , 2 5 / 3 1.39 − 0.57 1 0 0.04 Select all the values that cannot be probabilities. A. 0 B. 2 C. 3 5 D. − 0.57 E. 0.04 F. 1.39 G. 5 3 H. 1
Question:
Which of the following values cannot be probabilities? 3 / 5, 2, 5 / 3, 1.39, −0.57, 1, 0, 0.04 Select all the values that cannot be probabilities.
A. 0
B. 2
C. 3 / 5
D. − 0.57
E. 0.04
F. 1.39
G. 5 / 3
H. 1
Answer:
B, D, F, G
Step-by-step explanation:
The probability, P(A), of an event A occurring is given by;
0 ≤ P(A) ≤ 1
This means that the probability of an event happening is always between 0 and 1 (both inclusive).
Therefore;
=> 3 / 5 is a valid probability value as;
0 ≤ 3/5 ≤ 1
=> 2 is NOT a valid probability value as 2 is not within the range 0 and 1
=> 5 / 3 is NOT a valid probability value as 5 / 3 = 1.6667 is not withing the range 0 and 1
=> 1.39 is NOT a valid probability value
=> -0.57 is NOT valid. Probability values are not and cannot be negative.
=> 1 is a valid probability value. This just means that the probability that an event will occur is 100% likely.
=> 0 is a valid probability value. This just means that the probability that an event will occur is 0% likely.
=> 0.04 is valid as;
0 ≤ 0.04 ≤ 1
Gamal spent $12.50 at the book store. The difference between the amount he spent at the video game store and the amount he spent at the book store was $17. The equation d minus 12.50 = 17 can be used to represent this situation, where d is the amount Gamal spent at the video game store. Which equation is an equivalent equation that can be used to find the amount Gamal spent at the video game store?
Answer:
d - 12.50 = 17
add 12.50 to both sides to get d alone.
d = 12.50 + 17
Answer:
It's B d= 17 + 12.50
Step-by-step explanation:
Got it right on edg
Write one of the following options next to each of these statements below.
A 'This statement is always true'
B 'This statement is sometimes true'
C 'This statement is never true'
a) When you add two negative numbers the answer is negative. __
b) When you subtract a positive number from a negative
number the answer is negative. __
c) When you subtract a negative number from a positive
number the answer is negative. __
d) When you subtract a negative number from a negative
number the answer is negative. __
Answer:
see answers below
Step-by-step explanation:
A 'This statement is always true'
B 'This statement is sometimes true'
C 'This statement is never true'
a) When you add two negative numbers the answer is negative. _A_
e.g. -4 + -1 = -5
b) When you subtract a positive number from a negative
number the answer is negative. _A_
e.g. -5 - (+4) = -9
c) When you subtract a negative number from a positive
number the answer is negative. _C_
e.g. 5- (-2) = 8 always positive, => never negative
d) When you subtract a negative number from a negative
number the answer is negative. _B_
-2 - (-4) = +2
-2 - (-1) = -1
Which of the following is the proper name for the figure below?
A.
AYM
B.
ATM
C.
AYX
D.
ATX
Answer:
Option (D)
Step-by-step explanation:
Endpoints of the sides of any polygon are called as vertices. Any polygon is named by its vertices either in a consecutive order either clockwise or counterclockwise.
In the picture attached,
Vertices of the triangle or endpoints of the sides of the polygon are A, T and X.
Therefore, we can name this triangle as ΔATX, ΔTXA, ΔXAT or ΔXTA, ΔAXT, ΔTAX.
Option (D) will be the answer.
Answer:
d
Hope this help :)
Determine which expression could represent a polynomial with a factor of (x - √3i)
Answer:
Option (3)
Step-by-step explanation:
[tex](x-i\sqrt{3})[/tex] is a factor of a polynomial given in the options, that means a polynomial having factor as [tex](x-i\sqrt{3})[/tex] will be 0 for the value of x = [tex]i\sqrt{3}[/tex].
Option (1),
3x⁴ + 26x² - 9
= [tex]3(i\sqrt{3})^{4}+26(i\sqrt{3})^2-9[/tex] [For x = [tex]i\sqrt{3}[/tex]]
= 3(9i⁴) + 26(3i²) - 9
= 27 - 78 - 9 [Since i² = -1]
= -60
Option (2),
4x⁴- 11x² + 3
= [tex]4(i\sqrt{3})^4-11(i\sqrt{3})^2+3[/tex]
= 4(9i⁴) - 33i² + 3
= 36 + 33 + 3
= 72
Option (3),
4x⁴ + 11x² - 3
= [tex]4(i\sqrt{3})^4+11(i\sqrt{3})^2-3[/tex]
= 4(9i⁴) + 33i² - 3
= 36 - 33 - 3
= 0
Option (4),
[tex]3x^{4}-26x^{2}-9[/tex]
= [tex]3(i\sqrt{3})^4-26(i\sqrt{3})^{2}-9[/tex]
= 3(9i⁴) - 26(3i²) - 9
= 27 + 78 - 9
= 96
Therefore, [tex](x-i\sqrt{3})[/tex] is a factor of option (3).
The height of an object dropped from the top of a 144 foot- building is given by h(t)= -16 square +144. How long will it take the object to hit the ground?
Answer:
3 seconds
Step-by-step explanation:
0 = -16x² + 144
-144 = -16x²
9 = x²
3 = x
Y + 1 1/6 = 7 5/6 what is Y
Answer:
6[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
y + 1[tex]\frac{1}{6}[/tex] = 7[tex]\frac{5}{6}[/tex]
y + [tex]\frac{7}{6}[/tex] = [tex]\frac{47}{6}[/tex]
y = 40/6 = 20/3 = 6[tex]\frac{2}{3}[/tex]
h
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p
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:)
Answer:
First answer.
Step-by-step explanation:
Multiply everything by 10, to get rid of the decimals.
find the domain and range of
f(x) = 2sinπx
please help me!
how do I graph this function
Step-by-step explanation:
The general form of a sine wave is:
y = A sin(2π/T x − B) + C
where A is the amplitude,
T is the period,
B is the phase (horizontal shift),
and C is the midline (vertical shift).
f(x) = 2 sin(πx)
This is a sine wave with an amplitude of 2, a period of 2, a phase of 0, and a midline of y=0.
To graph, the wave is centered at y=0 and has zeros every half period (x = 0, 1, 2, 3, etc.). Between the zeros, the wave is either a min or max (±2).
The domain of the function is (-∞, ∞).
The range of the function is [-2, 2].
Answer:
For
[tex]f(x) = 2\sin(\pi x)[/tex]
the domain is the real numbers, Range = [-2,2]
Step-by-step explanation:
About the domain, you can take any number, remember that the domain are the "x" that you can plug in on your function, for this case, you can plug in any value and you will have no problem.
Think about it like this, if you have f(x)= 1/x , you can't plug in x=0, but you can plug in all the other numbers, so the domain of that function would be all numbers except 0.
Therefore for
[tex]f(x) = 2\sin(\pi x)[/tex]
the domain is the real numbers.
About the range, it is the "y" axis, which numbers can you reach on the "y" axis, if you graph the function you will see that it is between [-2,2]
Range = [-2,2]
check the image I attach.
how do you find the x- and y-intersepts of an equation
Answer:
To find the x-intercept, simply plug in the value y = 0 into your equation and then solve for x. To find the y-intercept, plug in x = 0 and solve for y.
the price of apples at three different stores is shown below. Store R sells apples for $1.20 per pound. Store S sells 4 pounds of apples for $5.00. Store T sells 3 pounds of apples for $3.48.
which of these is a true statemnt
Store R sells apples at the lowest rate
Store T sells apples at the lowest rate
Store s charges a lower rate than Store T
Store t charges the same rate as Store R
Store T sells apples at the lowest rate
Step-by-step explanation:
1st We need to make every statement in order of 1 pound. Then We will easily find the lowest rate of apple.
i) R sell 1.20 $ per pound.
ii) S sell 4 pounds for 5$
i.e S sell 1 pound for 5/4 = 1.25$
iii) T sell 3 pound for 3.48$
i.e T sell 1 pound for 3.48/3 = 1.16$
Analysing the above data I get,
Store T sells apples at the lowest rate
A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of $25 and another fee of $12.50 an hour. How much is it if you rent the SCUBA equipment for 45 minutes
Answer:
34.38
Step-by-step explanation:
45 minutes is 45/60 or .75 of an hour
The up front cost plus the hours times the hourly cost
The cost is 25 + .75 * 12.50
25 +9.375
34.375
Rounding to the nearest cent
34.38
12. A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≤ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following graphs displays the effective dosage of the antibiotic?
Answer:
Graph C. See explanations below.
Step-by-step explanation:
Looking for graph corresponding to d <= (w^2)/5
Take the third graph, which has a solid line (to correspond to the inequality <=, or less than or equal to).
For a dog's weight of 10 lb, the corresponding dose is 20 mg = 10^2/5
for 20 lb, dose = 80 mg (=20^2/5)
...
For 40 lb, dose = 320 mg (=40^2/5).
So this is the correct graph.
The fourth (d) is similar. But the dotted line eliminates the equality in
d <= w^2/5
so not correct.
The function y = sin^?1(3x + 1) is a composition, and so we must use the Chain Rule, given below, to find the derivative. d dx [f(g(x))] = f '(g(x))g'(x) For the given function sin^?1(3x + 1), the "inside" function is 3x + 1 and the "outside" function is f(x) = arcsin(x).
Recall that the derivative of y = sin?1(x) is y' =__________?
Answer:
dy/dx = 3/√1-(3x+1)²
Step-by-step exxplanation:
Given the inverse function y = sin^-1(3x+1), to find the derivative of the expression, we will use the chain rule as shown;
Let u = 3x+1 ...1
y = sin⁻¹u ...2
From equation 1, du/dx = 3
from equation 2;
Taking the sin of both sides;
siny = sin(sin⁻¹u)
siny = u
u = siny
du/dy = cosy
dy/du = 1/cosy
from trig identity, cos y = √1-sin²y
dy/du = 1/√1-sin²y
Ssince u = siny
dy/du = 1/√1-u²
According to chain rule, dy/dx = dy/dy*du/dx
dy/dx = 1/√1-u² * 3
dy/dx = 3/√1-u²
Substituting u = 3x+1 into the final equation, we will have;
dy/dx = 3/√1-(3x+1)²
Given the graph of the circle find the equation
Answer:
(x + 4)² + (y + 1)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = )- 4, - 1) and r = 2 , thus
(x - (- 4))² + (y - (- 1))² = 2² , that is
(x + 4)² + (y + 1)² = 4 ← equation of circle
The equation of the circle will be (x + 4)² + (y + 1)² = 4.
What is a circle?The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
From the diagram, the center of the circle is at (-4, -1) and the radius of the circle is 2 units.
Then the equation of the circle will be
(x + 4)² + (y + 1)² = 2²
Simplify the equation, according to the problem.
(x + 4)² + (y + 1)² = 4
The equation of the circle will be (x + 4)² + (y + 1)² = 4.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ2
Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With Upper H1: p≠0.377, the test statistic is z=3.06.
a. 0.0022; fail to reject the null hypothesis
b. 0.0011; reject the null hypothesis
c. 0.0022; reject the null hypothesis
d. 0.0011; fail to reject the null hypothesis
Answer:
Option c: 0.0022; reject the null hypothesis
Step-by-step explanation:
Using a p value calculator, with a z score of 3.06 at 0.05 level of significance for a two tailed test, the p-value is 0.002213. This value is lower than 0.05 thus the result is significant we will reject the null hypothesis.
To calculate the p value by hand, we do this
The test statistic is 3.06. Since the test possesses a not equal to alternative, we look up the test statistic on the z table find the corresponding probability. Thus we have 3.06 - on the z table - 0.99889
Then we subtract from 1 and double it
1-0.99889 = 0.00111 x 2 = 0.0022.
At the start of 2010 karim had rm5000
Step-by-step explanation:
Tell the whole question please
how many area codes are possible if the first digit can’t be zero, no digit can be repeated, and the third digit must be 9 or 0?
Answer:
9
Step-by-step explanation:
i think it's 9 that's how many area codes
Answer: It is 900
Step-by-step explanation:
Plato/Edmentum
URGENT !!!!
A greengrocer has 38 lb of carrots when he opens on Monday morning. During the dayhe gets a delivery of 60 lb of carrots and sells 29 lb of the carrots. How many pounds ofcarrots are left when he closes on Monday evening?
He has 69 lb of carrots left when he closes
Analyze the diagram below and complete the instructions that follow. find angle wvx
Answer:
60 degrees
Step-by-step explanation:
it has to be.
Answer:
it's D
Step-by-step explanation:
got it right edge 2021
Solve the following system of equations
y = -x^2+3x+18
y = -2x+4
A.) (-7.8) and (2,10)
B.) (2,20) and (11,-18)
C.) (-2,8) and (7,-10)
D.) (-2,-20) and (-11,18)
Answer:
[tex]\boxed{Option \ C}[/tex]
Step-by-step explanation:
[tex]y = -x^2+3x+18\\y = -2x+4[/tex]
Equating both equations
=> [tex]-x^2+3x+18 = -2x+4\\x^2-2x-3x+4-18 = 0\\x^2-5x-14=0[/tex]
Using mid term break formula
=> [tex]x^2-7x+2x-14=0\\x(x-7)+2(x-7)=0\\Taking \ (x-7) \ common\\(x+2)(x-7) = 0[/tex]
Either,
x + 2 = 0 OR x - 7 = 0
x = -2 OR x = 7
For, x = -2 , y is
=> y = -2x+4
=> y = -2(-2)+4
=> y = 4+4
=> y = 8
So, the ordered pair is (-2,8)
For x = 7 , y is
=> y = -2(7)+4
=> y = -14+4
=> y = -10
So, the ordered pair for this is (7, -10)
Solution Set = {(-2,8),(7,-10)}
Answer:
The answer is option C
Step-by-step explanation:
y = - x² + 3x + 18
y = - 2x + 4
Since they are both equal to y we equate them
That's,
- x² + 3x + 18 = - 2x + 4
x² - 5x - 14 = 0
Solve the quadratic equation
x² - 5x - 14 = 0
x² + 2x - 7x - 14 = 0
x(x + 2) - 7( x + 2) = 0
( x - 7)(x + 2) = 0
x - 7 = 0 x + 2 = 0
x = 7 x = - 2
Substitute the values of x into y = - 2x + 4
That's
when x = 7 when x = - 2
y = - 2(7) + 4 y = - 2(-2) + 4
y = - 14 + 4 y = 4 + 4
y = - 10 y = 8
So the solutions are
(7 , - 10) and ( - 2 , 8)Hope this helps you
If a 15 foot ladder reaches 14 feet up a building, what angle does the ladder make with the ground? (to the nearest WHOLE DEGREE)
Answer:
x = 69°
Step-by-step explanation:
In the picture attached,
Length of the ladder = 15 ft
This ladder reaches the height of a building = 14 ft
We have to find the measure of angle formed between the base of the ladder and the ground.
By applying Sine rule in the right triangle formed,
sin(x)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(x)° = [tex]\frac{14}{15}[/tex]
x = [tex]\text{sin}^{-1}(\frac{14}{15})[/tex]
x = 68.96°
x ≈ 69°
Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types
of butterflies are shown below. What is the average number of Variegated Fritillaries for all three samples?
A. 55 B.83 C.106 D.165
Answer:
A). 55
Step-by-step explanation:
Number of Variegated Fritillaries for each year is
2009 = 7
2010= 95
2011= 63
The sum total of the samples= 7+95+63
The sum total of the samples= 165
Number of years= 3
The average= total/number of years
The average= 165/3
The average= 55
Answer: A
Step-by-step explanation: I have a massive brain (•-*•)
Given ABCD is a parralelogram choose and label approproate coordinates for A, B, C, and D, and prove that the opposite sides of ABCD are congruent. point A is (0,0) point B is (10,0) point C is (12,7) and point D is (3,7)
Answer:
proved: see explanation below
Step-by-step explanation:
The parallelogram ABCD has cordinates point A is (0,0) point B is (10,0) point C is (12,7) and point D is (3,7).
For the opposite sides of ABCD to be congruent, the slope of the opposite sides would be equal
If AB // CD, BC // AD, it’s a parallelogram.
If slope of AB = CD, BC = AD then it’s a parallelogram.
slope = Δy/Δx
slope AB = (0-0)/(10-0) = 0
slope BC = (7-0)/(12-10) = 7/2
slope CD = (7-7)/(12-3) = 0
slope DA = (0-7)/(0-3) = 7/3
slope DA is supposed to be equal to slope BC
It means the coordinate of D is (2,7)
slope DA becomes= (0-7)/(0-2) = 7/2
Therefore it would be proved that the opposite sides of ABCD are congruent as two pair of slopes are equal
the answer choices are
sec y= b/6
sec y=6a
sec y=6b
sec y= 6/b
Answer:
sec y=6/b yw
Step-by-step explanation: