Answer:
B)120º
Step-by-step explanation:
70+50=x
120=x
Sum of two interior angles=exterior angle
[tex]\\ \sf\longmapsto 50+70=x[/tex]
[tex]\\ \sf\longmapsto x=120[/tex]
Option B
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
What is the constant of proportionality in the equation y 5/4 x ?
Answer:
Firest y5/ 4x = y5 - 4 /4X -4
x= y
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]
Classify each triangle by its angles and sides.
ABE
BEC
DEF
CDF
Answer:
scalene right
isosceles obtuse
equilateral equilateral
scalene acute
helppppppppppppppppp meeeeeeeee
Answer:
1.392 km²
Step-by-step explanation:
8.352÷6
please mark me brainliest
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
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.
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]
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
Enter the value of x. The diagram is not to scale.
680
119°
.70
Answer: 51
119=68+x => x=51
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
(y^5 -3y^2 -20)/(y -2)
Use synthetic division
Answer:
The answer is y^4+2y^3+4y^2+5y+10
Step-by-step explanation:
I essentially just factored everything, as I'm certain this is right. :D
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 = 5/3 right angle,find b
Answer: i can't
Step-by-step explanation: what b
there's no picture attached
does b have any value?
put a picture and i'll edit my answer
Mary got a rectangular box. If the perimeter is 82cm and the length is 23cm, what is the
width of the box?
Answer:
w = 18cm
Step-by-step explanation:
Using the formula
P = 2 (l + w)
Solving for w
w = P
2﹣l = 82
2﹣23 = 18cm
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:
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
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
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.
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
Answer for points I’ll thank it
Answer:
What is the question?
Step-by-step explanation:
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:
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 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
How do you compare exponential functions??
I really don't understand, also giving brainliest!!
Answer:
You compare it by this
Step-by-step explanation:
Linear functions are graphed as straight lines while exponential functions are curved. Linear functions are typically in the form y = mx + b, which is used to discover the slope, or simply the change in y divided by the change in x, while exponential functions are typically in the form y = (1 + r) x.
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
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:
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
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
....................