Answer:
(f-g)(x) = f(x) - g(x)
= x-3 - (3[tex]x^{2}[/tex])
= x- 3 - 3[tex]x^{2}[/tex]
domain is all real number
Step-by-step explanation:
What proportion of US women have a height greater than 69.5 inches?
Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5 inches, hence [tex]\mu = 65, \sigma = 2.5[/tex].
The proportion of US women that have a height greater than 69.5 inches is 1 subtracted by the p-value of Z when X = 69.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69.5 - 65}{2.5}[/tex]
[tex]Z = 1.8[/tex]
[tex]Z = 1.8[/tex] has a p-value of 0.9641.
1 - 0.9641 = 0.0359
0.0359 = 3.59% of US women have a height greater than 69.5 inches.
You can learn more about the Normal distribution at https://brainly.com/question/24663213
Find the equation of the line. Use exact numbers. y =__ x +__
EXPLAIN:
Ex: the line is: y = ax + b
The line go through 2 points ( 0 ; -5 ) and ( 5 ; 0 )
So: [tex]\left \{ {{0=5a+b} \atop {-5=0a+b}} \right. =>\left \{ {{b=-5a} \atop {b=-5}} \right. =>\left \{ {{a=1} \atop {b=-5}} \right.[/tex]
The line: y = x - 5 = (1)x + (-5)
ANSWER: y = (1)x + (-5)
ok done. Thank to me :>
45/100 in its simplest form
Answer:
9/20
Step-by-step explanation:
5×9=45
5×20=100
we need to convert it in lowest term by dividing it..
find the value of x²+y² if
x+y=9 xy=14
Step-by-step explanation:
It's a system of equations.
From the first one we isolate x:
x = 9-y
And we substitute in the second one:
(9-y)y = 14
-y^2 + 9y - 14 = 0
y^2 - 9y + 14 = 0
D = 25
y1/2 = (9 +- 5)/2 = 2 or 7
y = 2 => x = 7
y = 7 => x = 2
x^2 + y^2 = 7^2 + 2^2 = 53
If ARST = ANPQ, which of the following is true?
Answer:
T=Q
Step-by-step explanation:
They are in te same position on the comparison
Now that Yardley Auto Repair has a different owner, its mechanics make $35 per hour. That is 25% more than they originally made. How much did the mechanics use to make per hour?
Answer:
Step-by-step explanation:
So the Yardley people got a raise! Hurray! They make ALL that they made before and a little bit more.
Let x = original pay
100% of x is what they made before.
25% of x is the amount of raise they got.
100% of x should be written 1x, or just x (convert the % to a decimal)
25% of x should be written .25x
So a math sentence that says their original pay plus their raise is now $35 would be written
1x + .25x = 35
Combine the x terms.
1.25x = 35 Now divide both sides by 1.25 to get the x all by itself.
1.25x/1.25 = 35/1.25
x = 28 Remember what x stood for? x is the original pay. The mechanics used to make $28 per hour.
a wedding reception seats 8 people at each table The relationship is represented by the equation p=8t where p is the number of people at t is the number of tables 
Answer:
that means its 8 * 8 = 64
There are 64 ppl
If f (x)= 3x - 5 and g(x) = x^2, find (f•g)(3).
Answer:
do it got a picture
on the edge2020
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer:
y = 3x
Step-by-step explanation:
Let's select two points from the given graph.
(1,3) (3,9)
Now, let's use slope formula to find the slope.
m = y2-y1/x2-x1
= 9-3/3-1
= 6/2
= 3
Let's substitute/plug this value into the slope-intercept form.
y = 3x + b
We can see that the y-intercept is 0, from the graph.
b = 0
Therefore,
y = 3x
Take the greatest possible factor out of the square root.
Square root of 80
Answer:
4.
Step-by-step explanation:
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4.
The greatest factor of 80 is
We have to determine, the greatest possible factor out of the square root of 80.
According to the question
The square root of the greatest perfect square from the list of all factors of 80.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
The greatest perfect square on this list is 16 and the square root of 16 is 4.
To determine the greatest square root of 80 following all the steps given below.
The square root of 80,
[tex]\rm = \sqrt{80} \\\\= \sqrt{2\times 2\times 2 \times 2\times 2\times 5} \\\\= 2 \times 2\times \sqrt{5} \\\\= 4\sqrt{5}[/tex]
Hence, The greatest factor of 80 is 4.
For more details refer to the link given below.
https://brainly.com/question/20354909
The exchange rate at the post office is £1 = €1.17. How many euros do I get for £280?
Answer:
327.21 euros.
Step-by-step explanation:
need help with this pls
Answer:
Hence y = (5k -3)/ (1 - k)
.... shown
What is the solution to the system of equations shown below?
y = -x-2
4y + 8 = x
A. No solution
B. (2,0)
C. (0,2)
D. Infinitely many solutions
Answer:
The answer is c when u solve for x it gives 0 and for y gives 2
Describe the location of point (4,2) on a coordinate plane. Enter a number in each box to complete the sentence.
The point is
units up from the origin on the y-axis and
units to the right of the origin on the x-axis.
Answer:
2 units up and 4 units to the right.
Step-by-step explanation:
It is 2 units up and 4 units to the right because since the x-coordinate is positive, that means the point is to the right of the origin and since the y-coordinate is positive, that means the point is above the origin.
work out the perimeter of this semicircle the radius is 11cm take π to be 3.142 and write down all of the digits given by your calculator
The answer is 34.54 cm
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: Radius=11cm
Thus circumference of the semi-circle is = πr
=3.14×11
=34.54 cm
Hence, The answer is 34.54 cm
Learn more about circumference of a circle here:
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Can you help this is a lot. I don't really get it
Answer:
country is 15 30 45 60 75 90 105 120 135 150 pop is 5.75 11.5 17.25 23 28.75 34.5 40.25 46 51.75 57.5
why you take my profile picture hello.....
-1/3 x + 5 ≤ 2 answerrrrrrrrrrrr
Answer: x ≥ 9
Step-by-step explanation: -1/3x + 5 ≤ 2
-1/3x + 5 -5 ≤ 2 - 5
-1/3x ≤ -3
-1/3x/(-1/3) ≤ -3/(-1/3)
x ≤ -9
x ≥ 9
Answer: Inequality form X >- 9
Step-by-step explanation:
isolte the varible by dividing each side by factors that dont cotain the variable
please help!
53°
44°
46°
xº
- 12 \geq - 2 x - 15
[tex] - 12 \geqslant - 2x - 15[/tex]
what is this answer??? plssss help gotta get it done by tomorrow
Answer:
x= -3/5
Step-by-step explanation:
-12>= -2x-15
add 15 to both sides 3>= -2xdivide by -23/-2=xUsing the formula A = l w, determine the area of a rectangle when l = 3.7 and w = 4. Group of answer choices A.) 4.1 B.) 7.7 C.) 12.7 D.) 14.8
Answer:
D 14.8
Step-by-step explanation:
A=L*W which means length times width. 3.7x4= 14.8
Acar moves at a constant speed of 50 miles per hour. How long
does it take the car to go 200 miles?
O 250 hours
150 hours
O 4 hours
O 10,000 hours
Answer:
4 hours · Speed = 50 mph · distance = time x speed · Time = 200 / 50 = 4 hours.
Step-by-step explanation:
Maddie baked 7 brownies. 4 of the brownies had nuts on top. What is the ratio of the number of brownies without nuts to the total number of brownies?
When two parallel lines are intersected by a transversal, alternate exterior angles are?
1. Different
2. 180 degrees
3. 90 degrees
4. congruent
Challenge question? Thanks.
Answer:
x=15
Step-by-step explanation:
the basic property is: AB/AD=BC/CD, for more info see the attachment.
im stumped on this question. please help:)
Answer:
(-2,6)
Step-by-step explanation:
the actual solution to the system of equations is (-(64/27),(56/9)).
however, we can estimate by looking at the graph. the solution is where both lines intersect, and that looks to be around (-2,6) as an approximation. hope this helps!
Question 2 of 10
What is the quotient of the following division problem?
89: 7 = ?
O A. 12r5
O B. 12 r4
O C. 11r5
O D. 14 r4
Answer:
A is correct: 12r5
Step-by-step explanation:
7 divides into 89 12 times with a remainder of 5. Answer A is correct: 12r5
solve similar triangles (advanced)
Answer:
x = 5
Step-by-step explanation:
Thales' theorem
[tex]\frac{9}{3} =\frac{15}{x}[/tex]
[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]
hope this helps
Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 mph for t hours and alah
respeed of 22 mph for the rest of the time. How long did Brady
ride at the slower speed? Use the variablet to
represent the time, in hours, Brady rode at 17 mph.
Answer:66 slower speed
Step-by-step explanation:
What is x equal to? 4/x=8/3
x equals 1.5 because it needs to be multplied by 2
Solve for x
-7x - 8 = 10x +4
Answer: put 14
Step-by-step explanation: