An isosceles triangle is one with two equal-length sides. ΔABC is an isosceles right angled triangle.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally. While the other two angles of the triangle measure 45°.
Hence, ΔABC is an isosceles right angled triangle.
Learn more about Isosceles Right Angled Triangle here:
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Find the slope and the y-intercept of the line.
y=2x-9
Answer: The Slope Is: m=2. The y -intercept Is: b=9 or (0,9) hope this helps :)
Step-by-step explanation:
Find the midpoint M of the line segment joining the points P = (3, - 7) and Q = (-7, 1).
Answer:
The answer is (-2 , - 3)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} ) \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
So we have
[tex]m = ( \frac{3 - 7}{2} , \frac{ - 7 + 1}{2} ) \\ = ( - \frac{4}{2} , - \frac{6}{2} )[/tex]
We have the final answer as
( - 2 , - 3)Hope this helps you
Step-by-step explanation:
Hey there!
The given points are; P(3,-7) and Q(-7,1)
Note: Use midpoint formula.
[tex]midpoint(x,y) = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Put all values.
[tex](x,y) =( \frac{3 - 7}{2} , \frac{ - 7 + 1}{2} )[/tex]
Simplify it.
[tex](x,y) = (-2 , - 3[/tex])
Therefore, midpoint is (-2 ,-3).
Hope it helps...
A farmer has 107 acres on which to plant oats or corn. Each acre of oats requires $18 capital and 2 hours of labor. Each acre of corn requires $36 capital and 6 hours
of labor. Labor costs are $8 per hour. The farmer has $2100 available for capital and $2400 available for labor. If the revenue is $47 from each acre of oats and $111
from each acre of corn, what planting combination will produce the greatest total profit? (Profit here is revenue plus leftover capital and labor cash reserve.) What is
the maximum profit?
orn
Answer:
$6049.63Step-by-step explanation:
the objective is to maximize profit
let x be corn and y be oat
let us begging by formulating the linear program for the problem
The objective function is
111x+47y=P
The constraints are
1. capital
36x+18y=2100------------1
2. labor
6x(8)+2y(8)=2400
48x+16y=2400-------------2
solving 1 and 2 we apply substitution method
36x+18y=2100------1
36x=2100-18y
x=(2100-18y)/36
put x=(2100-18y)/36 in 2 we have
48(2100-18y)/36+16y=2400
(100800-864y)/36+16y=2400
2800-24y+16y=2400
-8y=2400-2800
-8y=-400
8y=400
y=400/8
y=50
to find x put y=50 in 36x+18y=2100------------1
36x+18(50)=2100------------1
36x+900=2100
36x=2100-900
36x=1200
x=1200/36
x=33.33
profit is
111x+47y=P
111(33.33)+47(50)=P
3699.63+2350=P
P=6049.63
$6049.63
the planning comnination is to work on
33.33 acre of corn and 50 acre of oat
Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 112 inches and standard deviation σ = 10 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 22nd percentile of the tree heights. (b) Find the 80th percentile of the tree heights. (c) Find the first quartile of the tree heights. (d) An agricultural scientist wants to study the tallest 1% of the trees to determine whether they have a certain gene that allows them to grow taller. To do this, she needs to study all the trees above a certain height. What height is this? Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Find the 22nd percentile of the tree heights. The 22nd percentile of tree heights is inches.
Answer:
Explained below.
Step-by-step explanation:
Let X represents the tree heights.
It is provided that X follows a normal distribution with mean μ = 112 inches and standard deviation σ = 10 inches.
(a)
Compute the 22nd percentile of the tree heights as follows:
[tex]P(X<x)=0.22\\\\P(Z<z)=0.22[/tex]
The z-score for the corresponding probability is, z = -0.77.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-0.77=\frac{x-112}{10}\\\\x=112-(0.77\times 10)\\\\x=104.3[/tex]
Thus, the 22nd percentile of the tree heights is 104.3 inches.
(b)
Compute the 80th percentile of the tree heights as follows:
[tex]P(X<x)=0.80\\\\P(Z<z)=0.80[/tex]
The z-score for the corresponding probability is, z = 0.84.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\0.84=\frac{x-112}{10}\\\\x=112+(0.84\times 10)\\\\x=120.4[/tex]
Thus, the 80th percentile of the tree heights is 120.4 inches.
(c)
Compute the first quartile of the tree heights as follows:
[tex]P(X<x)=0.25\\\\P(Z<z)=0.25[/tex]
The z-score for the corresponding probability is, z = -0.67.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-0.67=\frac{x-112}{10}\\\\x=112-(0.67\times 10)\\\\x=113.3[/tex]
Thus, the first quartile of the tree heights is 113.3 inches.
(d)
The tallest 1% of the trees, i.e. P (X > x) = 0.01.
That is, P (X < x) = 0.99.
⇒ P (Z < z) = 0.99
The corresponding z-value is, z = 2.33.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\0.99=\frac{x-112}{10}\\\\x=112+(0.99\times 10)\\\\x=121.9[/tex]
Thus, the tallest 1% of the trees are more than 121.9 inches tall.
Question 3 of 6 (1 point) Attempt 33 of Unlimited View question in a popup
2.4 Section Exercise 6
In a study of 550 meals served at 75 campus cafeterias, 77 had less than 10 grams of fat but not less than 350 calories; 81 had
less than 350 calories but not less than 10 grams of fat; 186 had over 350 calories and over 10 grams of fat.
Part: 0/2
E
Part 1 of 2
(a) What percentage of meals had less than 10 grams of fat? Round your answer to the nearest tenth of a percent.
of the meals studied, 1% of them had less than 10 grams of fat.
Answer:
10%
Step-by-step explanation:
(a) What percentage of meals had less than 10 grams of fat?
(b) Round your answer to the nearest tenth of a percent.
To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.
(A) Total number of meals = 550
Number of meals having less than 10 grams of fat = 77
Percentage of meals having less than 10 grams of fat = 77/550 × 100
= 0.14 × 100 = 14%
(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').
The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%
200 students ate lunch today. 37% of the students ate soup how many students ate soup?
Answer:
74
Step-by-step explanation:
Answer:74 students ate soup
Step-by-step explanation:
37% of 200 = 74
or
.37 x 200 = 74
x={(2,4),(3,4),(4,4),(5,4) The Range of x is
Answer:
2-5
Step-by-step explanation:
In 2016, Southwest Airlines boasted that 70% of its flights were on time. If we select 8 Southwest flights at random and assume independence, what is the probability that at least 3 flights are on time
Answer: 0.9887
Step-by-step explanation:
Let p be the probability that flights are on time.
As per given, p =70% = 0.7
Sample size : n = 8
Let x be a binomial variable that represents the number of fights are on time ( i.e. success).
Using binomial formula: [tex]P(X=x) = \ ^nC_xp^x(1-p)^{n-x}[/tex]
Now, the probability that at least 3 flights are on time = [tex]P(X\geq 3)=1-P(X<3)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\=1-[^8C_0(0.7)^0(0.3)^8+^8C_1(0.7)^1(0.3)^7+^8C_2(0.7)^2(0.3)^6]\\\\=1-[(0.3)^8+8(0.7)(0.3)^7+\dfrac{8!}{2!6!}(0.7)^2(0.3)^6]\\\\=1-[0.00006561+0.00122472+0.01000188]\\\\=1-0.01129221\\\\=0.98870779\approx\ 0.9887[/tex]
The probability that at least 3 flights are on time = 0.9887
20 Points.........................
A polynomial has a leading coefficient of 1 and the following roots. What is the factored form of the polynomial?
3, Sqrt 3
A. g(x)= (x- 3) (x- sqrt(3)) (x+ sqrt(3))
B. g(x) = (x + 3) (x- sqrt(3)) (x+ sqrt(3))
C. g(x) = (x- 3) (x- sqrt(3))
D. g(x) = (x + 3) (x+ sqrt(3))
please answer this The cost of 2.5 pounds of cheese is $5.60.
D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box.
Answer:
$11.20
Step-by-step explanation:
you just double the cost of 2.5 pounds because 2.5 +2.5 is 5
Answer:20.16
Step-by-step explanation:
That is we want the price of
9
pounds (lets call it
$
x
) to be such that
$
5.60
:
2.5
pounds
is the same as
$
x
:
9
pounds
or written as fractions, we want
$
5.60
2.5
pounds
=
$
x
9
pounds
That is
XXX
$
x
=
$
5.60
2.5
pounds
×
9
pounds
XXXXX
=
$
50.40
2.5
=
$
20.16
Are of a rectangle 4ft by 1/2ft
Answer:
2
Step-by-step explanation:
Answer:
2ft squared
Step-by-step explanation:
4ft ⋅ 0.5 = 2ft
(0.5 is the same as 1/2)
Hope I helped :)
Please consider Brainliest :)
The standard normal distribution has a mean of
and a standard deviation of
The standard normal distribution has a mean of 0 and a standard deviation of 1
12.5.17
Two dice are rolled.
a) Determine the number of points in the sample space.
b) Determine the probability that a double (a 1, 1 or 2, 2, etc.) is rolled.
c) Determine the probability that a sum of 6 is rolled.
d) Determine the probability that a sum of 11 is rolled.
e) Are you as likely to roll a sum of 6 as you are of rolling a sum of 11?
a) There are 36 points in the sample space.
b) The probability that a double is rolled is
(Simplify your answer.)
Answer:
(a) 36 points
(b) Pr(rolling a double number) ≅ 0.167
(c) Pr(a sum of 6 is rolled) ≅ 0.139
(d) Pr(a sum of 11 is rolled) ≅ 0.056
(e) No.
Step-by-step explanation:
Sample space = {1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6}
(a) The number of points in the sample space is 36.
(b) Pr(rolling a double number) = [tex]\frac{6}{36}[/tex]
= [tex]\frac{1}{6}[/tex] ≅ 0.167
(c) Pr(a sum of 6 is rolled) = [tex]\frac{5}{36}[/tex] ≅ 0.139
(d) Pr(a sum of 11 is rolled) = [tex]\frac{2}{36}[/tex]
= [tex]\frac{1}{18}[/tex] ≅ 0.056
(e) No. It is more likely to roll a sum of 6 than that a sum of 11.
A racing car consumes a mean of 106 gallons of gas per race with a standard deviation of 6 gallons. If 33 racing cars are randomly selected, what is the probability that the sample mean would be greater than 103.7 gallons? Round your answer to four decimal places.
Answer:
The probability is [tex]P(\= X > 103.7 ) = 0.9862 [/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 106 \ gallons[/tex]
The population standard deviation is [tex]\sigma = 6 \ gallons[/tex]
The sample size is [tex]n = 33[/tex]
Generally the standard deviation of sample mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{6}{\sqrt{33} }[/tex]
=> [tex]\sigma_{x} = 1.044[/tex]
Generally the probability that the sample mean would be greater than 103.7 gallons is mathematically represented as
[tex]P(\= X > 103.7 ) = P(\frac{X - \mu }{\sigma_{x}} > \frac{103.7 - 106}{1.044 } )[/tex]
Generally [tex]\frac{X - \mu }{\sigma_{x}} = Z (The \ standardized \ value \ of \= X )[/tex]
So
[tex]P(\= X > 103.7 ) = P(Z > -2.203 )[/tex]
From the z table the probability of (Z > -2.203 ) is
[tex]P(Z > -2.203 ) = 0.9862[/tex]
So
[tex]P(\= X > 103.7 ) = 0.9862 [/tex]
A polynomial function has roots -5 and 1. Which
of the following could represent this function?
f(x) = (x + 5)(x + 1)
f(x) = (x - 5)(x - 1)
f(x) = (x - 5)(x + 1)
f(x) = (x + 5Yx - 1)
Answer:
f(x) = (x + 5)(x - 1)
Step-by-step explanation:
f(x) = (x + 5)(x - 1) has the roots of -5 and 1, when you set each factor equal to zero.
x + 5 = 0
x = -5
So, -5 is a root of the function.
x - 1 = 0
x = 1
So, 1 is the other root of the function.
f(x) = (x + 5)(x - 1) is the polynomial function with the roots of -5 and 1
Identify the equation for the graph shown.
A)
y = x - 4
B)
y = 5x - 2
4-3x6
D)
y = 2x - 5
Answer:
(D) y = 2x - 5
Step-by-step explanation:
First locate where the line touches the y axis or vertical axis. Then find the rise over run or rate of change (slope) by using the triangle method.
I call this the triangle method because it involves drawing vertical(up, and down), and horizontal(left, and right) lines from the original or diagonal line (hypotenuse or longest line) to create a right (90 degree, because the angle between them forms a square) triangle. First draw a line going to the right from a point on the original line, and form a triangle by connecting the next point with a line going up, and down (vertical line) with the line going to the right (horizontal line)
Then count the units of the vertical line and divide them by the units counted by the horizontal line.
This is k(for constant) or m(slope or steepness of a graph ) = change in or rise of y divided by the change in or rise of x = ∆y(change in or rise of y)/∆x(change in or run of x).
For this graph, starting from -5 or the point where the line touches the y axis. Draw a line going up 1 square to the right, and another going up 2 squares. Repeat this, and you will realise that it's the same pattern every time. Because the line goes up 2 squares, every time it goes to the right 1 square. There is a change of 2 in y every change of 1 in x or rise of 2 for every run of 1. Therefore, the slope is 2/1 = 2. Then since we know the graph touches the y axis at -5, y = 2x - 5
Romeo looks up at Juliet in her second-floor balcony at an angle of 57o. Of the balcony is 10 feet above the ground, how far is Romeo standing from the base of her house
Answer:
500
Step-by-step explanation:
Can I please have answer
Answer:start on -4 go over 3 right and up 4
Step-by-step explanation:
Answer:
Start at -4 on the y axis(the axis that goes up and down). Then draw a line from this point that goes to the right 3 squares, and up 4 squares. Then just continue the line with the same movements to the right, and opposite movements to the left.
Step-by-step explanation:
Magic
The cost of a ticket t will be no more than 26$
Answer: What's the question?
Step-by-step explanation:
What is the answer for 2
Simon & Iris earned money
by selling candy. They
earned $12 by recycling.
They split the total and
each got $100. How much
did they earn selling
candy?
Answer:
[tex]Candy = \$188[/tex]
Step-by-step explanation:
[tex]Recycling = \$12[/tex] ---- earnings
[tex]Each = \$100[/tex] --- individual earnings
[tex]Individuals = 2[/tex] ---- Simon & Iris
Required
Determine earnings of selling candy
First, we need to determine the total earnings.
[tex]Total\ Earnings = Individuals * Individual\ Earnings[/tex]
[tex]Total\ Earnings = 2 * \$100[/tex]
[tex]Total\ Earnings = \$200[/tex]
Since the total earnings is from recycling and candy, we have:
[tex]Candy + Recycling = Total\ Earnings[/tex]
[tex]Candy + \$12= \$200[/tex]
[tex]Candy = \$200 - \$12[/tex]
[tex]Candy = \$188[/tex]
In 2 /3 ÷ 4 /5 the is 2/ 3 .
Answer:
5/9
Step-by-step explanation:
2/3 • 5/2 • 2/3
1/3 • 2/5 • 2/3
multiply 1/3 for 5/2
5
-----------
3 • 2
multiply 3 for 2
5/6 • 2/3
anular el factor común 2
5/3 • 1/3
multiply 5/3 for 1/3
5
------------
3 • 3
multiply 3 for 3
5/9
the result
5/9
form decimal
0.5
Pls help me on my mathhhh
I can’t do it cuzzzz I’m dummmmm bro
Answer:
C
Step-by-step explanation:
Slope equals rise over run, which means the change in y for every x value. On the table, we see that y increases by 10 and x increases by 2, so that would be 10/2. However, the slope must be shown in the simplest form so divide the fraction by 2 to get the final slope, 5/1=5.
To get the intercept you must find when x=0. Since the lowest x-value on the graph is 2 we need to subtract the slope twice to get to zero. So 10-5-5, which equals 0.
The equation would be y=5x.
the following shape is made by cutting an equilateral triangle from rectangle find its perimeter
Answer:
47.6 cm
Step-by-step explanation:
Since the triangle is equilateral then the 2 inclined sides = 7.2 cm
Perimeter is then the sum of the 5 sides
P = 13 + 7.2 + 13 + 7.2 + 7.2 = 47.6 cm
Each of 7 students reported the number of movies they saw in the past year. Here is what they reported.
13, 8, 18, 19, 13, 14, 12
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
The mean of a set of numbers is the sum divided by the number of terms
What is the measurement of G?
Answer:
59 Degrees!!
Step-by-step explanation:
Answer:
59°
Step-by-step explanation:
180 - (57 + 64) =
180 - 121 = 59
Ming makes 6 trays of muffins. Each tray requiers 1.75 pounds of apples. How many pounds of apples does ming use?
Answer:
10.5
Step-by-step explanation:
Answer:
He would use 10.5 lbs of apples.
Jade used 3/4
yard of fabric to make a scart. Can she make 2 of these scarves with 1 4/5 yards of fabric, and why?
Answer:
Yes she can
Step-by-step explanation:
3/4 = 0.75
1 4/5= 1.8
0.75 x 2 = 1.5 which is less that 1.8 so she can
50 points
explanation please
3f(-2)-4f(2)
Multiply a positive and a negative equals a negative: (+)×(-)=(-)
-3f×2-4f×2
Calculate the product
-6f-4f×2
-------------‐-------
-3f×2
Multiply a negative and a positive equals a negative: (-)×(+)=(-)
-(3×2)f
Multiply the numbers
-6f
-----------------------------------------------
-6f-8f
Collect like terms
-14f
ANSWER:-14f
PLEASE MARK ME AS BRAINLIEST
Answer:
14f is your answer
Step-by-step explanation:
Same Thing as the first one
