A line is represented by the equation y = x + 2. Suppose the slope of the line was doubled and the value of the y-intercept was divided by 2. What is the equation of the new line?
Answer:
y = 2x + 1
Step-by-step explanation:
slope is the coefficient of the 'x' term, in this case 1
doubling 1 gives you 2
y-intercept is 2, dividing this by 2 gives you 1
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
c. What is the Z-score for a giraffe that is 18.5 foot tall?
d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?
e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?
f. The 70th percentile for the height of giraffes is ___ ft.
Answer:
Median =17
Step-by-step explanation:
Given that the mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. X is a random variable.
a) X is N(17, 0.9)
b) Median giraffe height = 17 ft since in normal distribution mean = median
c) When x = 18.5, Z = 18.5-17/0.9 = Z= 0.1667
d) P( x < 18) = P( Z < 56)
= 0. 2877
e) P(16.9 < x < 17.9) = P(-0.11 < z < 1) = .0.438 + 0.3413
= 0.3851
f) 75th percentile for z is 0.675
x = 17.9 + 0.9 (0.675)
= 18.5075
PLZ HELP
A cylinder and a cone have the same diameter. 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use ll = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work
Answer:
This is the answer, dont forget to change the wording or you'll get a plagiarism strike.
Step-by-step explanation:
Earlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (h) above the
ground in yards after a seconds is given by the function:
h(x) = -52% + 100 + 20
What was the maximum height of the rocket?
Solution
The maximum height was reached by the rocket at one second as you found in part b from the previous
example. It takes second to reach the maximum height. We will substitute that value in for x in our
function and simplify.
The maximum height reached by the rocket was 25 yards. What is the time it takes for the rocket to hit
the ground? (Use a graph or any other method to solve.)
It takes approximately 3.2 seconds for the rocket to hit the ground. (Round to the nearest tenth.)
Using quadratic function concepts, it is found that:
It takes 1 second to reach maximum height.The maximum height is of 25 yards.It takes approximately 3.2 seconds for the rocket to hit the ground.The height of the rocket after x seconds is given by:
[tex]h(x) = -5x^2 + 10x + 20[/tex]
Which is a quadratic function with coefficients [tex]a = -5, b = 10, c = 20[/tex].
The maximum height will be a reached at a time of [tex]x_v[/tex], and will be of [tex]y_v[/tex], considering the vertex given by:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a}[/tex]
[tex]\Delta = b^2 - 4ac[/tex]
Then:
[tex]x_v = -\frac{10}{2(-5)} = 1[/tex]
[tex]\Delta = 10^2 - 4(-5)(20) = 500[/tex]
[tex]y_v = -\frac{500}{4(-5)} = 25[/tex]
Thus:
It takes 1 second to reach maximum height.The maximum height is of 25 yards.It hits the ground when [tex]h(x) = 0[/tex], thus:
[tex]-5x^2 + 10x + 20 = 0[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-10 + \sqrt{500}}{2(-5)} = -1.2[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-10 - \sqrt{500}}{2(-5)} = -3.2[/tex]
We want the positive root, so, it takes approximately 3.2 seconds for the rocket to hit the ground.
A similar problem is given at https://brainly.com/question/24705734
the sum of four times a number and 2 is 10. find the number.
Answer:
What is the number 2
Step-by-step explanation:
2*4=8
8+2=10
Classify each triangle by its angles and sides.
ABE
BEC
DEF
CDF
Answer:
scalene right
isosceles obtuse
equilateral equilateral
scalene acute
May I please receive help?
Please???
Answer:
m1 is 25 and m2 is 50
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
x+2x=75
Which of place value is found to the left of the 1 in 10?
Answer:
Hundreds :)
Step-by-step explanation:
You saved $300 from waiting tables and $100 from babysitting this
summer. You put this in a savings account that earns 0.9% interest. You
left it in the account for 24 months before deciding to spend it. How
much interest did you earn?
86.4
....................
2(3x=4)
(x-2)(x=3)
(x-2)^2-3x(x+2)
(x-3)(x+3-(x+2)^2
Answer:
true
Step-by-step explanation:
thats correct becauee yeah
Answer for points I’ll thank it
Answer:
What is the question?
Step-by-step explanation:
What are the factors of -3?
Step-by-step explanation:
The positive factors of -3 are 3 and 1
There is also -3 and -1
FOR BRAINILY
Answer fast please
Answer:
37 degrees
Step-by-step explanation:
A triangle is 180 degrees total, so if you find what other number with 106 degrees equals 180 degrees you would get 37 degrees.
. Ramu took a loan of 50000 rupees from a bank which charges 10% interest, compounded an- nually. He repaid 10000 rupees after one year and 15000 rupees after two years. How much should he pay at the end of three years to settle the loan?
Answer:
= 30,550 rupee owed
Step-by-step explanation:
yr1 = 50000 x 0.10^1 = 5000
5000 - 10000 = 5000 credit from debt.
yr 2 = 50000 x 1.10^2 = 500 debit from debt = 5000-15000= 10,000 credit from debt
yr 3 = 50000 x 1.10^3 = 50 debit from debt
5000 + 500 = 15000 where 50,000 owed initially and yr1 and yr 2 paid in full interest of 5500 and we deduct this from his payment = 25000-5500 =
19500 paid of initial and nothing owed on interest.
50000-19500= 30,500 rupees owed + 50 rupee interest.
= 30,550 rupee owed
The amount he should pay at the end of the three years to settle the loan is; 41,550 Rupees
Compound InterestWe are given;
Investment = 50000 rupees
Annual Interest Rate = 10% = 0.1
Since the interest is compounded annually, then number of times of compounding = 3
Thus;
Amount to pay after 3 years is;
A = 50000(1 + 0.1)³
A = 50000 × 1.1³
A = 66500 Rupees
Now, we are told that he has already paid 10000 rupees after one year and 15000 rupees after two years. Thus, amount he now owes to settle the loan = 66500 - (10000 + 15000) = 41,550 Rupees
Read more on Compound Interest at; https://brainly.com/question/2455673
Andre is paid $12 per hour at his caddying job and $9.50 per hour working at a local fast food restaurant. He would like to keep both jobs and earn at least $275.00 a week, but he can work no more than 25 hours. If x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant, which system models this scenario?
The equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25
Let x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant.
Since he earn at least $275.00 a week, hence:
12x + 9.5y ≥ 275 (1)
Also, he can work no more than 25 hours, hence:
x + y ≤ 25 (2)
Therefore the equation that can be used to model this scenario is 12x + 9.5y ≥ 275 and x + y ≤ 25
Find out more at: https://brainly.com/question/25285332
A pair of pants that regularly costs $55 are on sale for 35% off the regular price. What is the sale price of the pants?
Answer:
$35.75
Step-by-step explanation:
100-35=65
.65 x 55 = 35.75
Answer:
$35.75
Step-by-step explanation:
35% converted to decimal is .35
55x.35= 19.25 the sale amount
$55 original price - $19.25sale = $35.75 sales price of pants.
[tex]( - 2 \\ \times \frac{1}{5} )[/tex]
[tex] \times [/tex]
[tex] ( - 5 \frac{3}{4} )[/tex]
put the answer as a mixed number please
Answer:
Step-by-step explanation:
[tex](-2)*\dfrac{1}{5}*(-5\dfrac{3}{4})=(-2)*\dfrac{1}{5}*\dfrac{-23}{4}\\\\ = \dfrac{23}{5*2}\\\\=\dfrac{23}{10}\\\\=2\dfrac{3}{10}[/tex]
If six angles of a heptagon have measures of 122, 153, 168, 105, 162, and 87, what is the measure of the seventh angle?
Answer:
he seventh angles measure is 103
Step-by-step explanation:
Interior angles = (number of side in the polygon - 2) times 180.
So Heptagon interior angles = (7-2)(180) = 900
To find the missing angles add all the given angles together (122, 153, 168, 105, 162, and 87) = 797.
Now The measure of the seventh angles = total angles measure - the six given angles,
The seventh angles measure is 103
900 - 797 = 103
a room has a rectangular floor that measures 28 feet by 14 feet and a flat 9-foot ceiling. what is the area of the floor and how much air does the room hold?
Answer:
Step-by-step explanation:
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 2/3 full. When she finishes her shift 6 1/2 h later, there is only 1/6 of the tub left. What was the average hourly change in tub fullness?
0.10
so sorry i couldn't make it a fraction :(
Help pls, will give branliest to right answer
Answer:
Similar AA
Step-by-step explanation:
By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.
Answer:
C. similar AA
give the slope perpendicular to the equation 2x-y=5
Answer:
- [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x - y = 5 ( subtract 2x from both sides )
- y = - 2x + 5 ( multiply through by - 1 )
y = 2x - 5 ← in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
Activity:theresa's mother ask her to buy dressed chicken if a kilo of dressed chick cost
Step-by-step explanation:
450/180= 2.5 kilos
it is a one to one relationship
f(x)=x/180
where x is the amount given to her
Surface of a rectangular prism15 cm depth6 cm width7.5 cm height
Answer:
675 is the surface rectangle
Step-by-step explanation:
multiple the depth width and height together
guys pls help me!!!!!!!
Answer:
n=27
Step-by-step explanation:
(n+6)° + (2n+5)° +90° = 180°
3n+9=90
3n=81
n=27
Sorry if I did it wrong
please help !! find the area and perimeter. I KNOW HOW TO DO IT BUT I JUST DONT HAVE THE TIME RN!!
Answer:
Step-by-step explanation:
9.
Area = 15 × 5
Area = 75
perimeter = 15 + 6 + 15 + 6 = 42
10.
Area = (10 × 15) ÷ 2 = 75
perimeter = 18 + 10 + 15 = 43
11.
Area = (25 × 10) ÷ 2 = 125
perimeter = 31.6 + 25 + 11.2 = 67.8
please give me a brainliest answer
What is the slope of (-6,-3) and (-2,-8)
Answer:
-5/4
Step-by-step explanation:
.......................
The question gives us two points, (-6,-3) and (-2,-8), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (-8 - (- 3)) ÷ (-2 - (-6))
= - ⁵/₄
Checking my answer:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-3) = - ⁵/₄(x - (-6))
y + 3 = - ⁵/₄ (x + 6)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
MARKING BRAINLEIST IF YOUR RIGHT !
Answer:
c = m + 4
you solve for c by simplifying both sides of the equation, then isolating the variable.
Answer:
Your answer is
c = m + 4
The path of a ball in flight is given by h(x) = -0.23(x – 3.4)^2 + 4.2 where x is
a. find h(2) and give a real-world meaning for this value
b. find the x values for h(2)= 2, and describe the real-world meaning of these values
c. how high was the ball when it was released
d. how far will the ball go before it hits the ground
Answer:
B
Step-by-step explanation:
It’s b
What’s answer 10? Somebody please?
Answer:
Your table should be right. Plot these on your graph. (4,5) (8,10) (12,15) and (16,20). Hope it helps
Step-by-step explanation: