Answers
Hence, y= 4-x
Related Questions
You know that the average college student eats 0.75 pounds of food at lunch. If the standard deviation is 0.2 pounds of food, then what is the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food when feeding 50 college students?
Answers
Answer: $53.95
Step-by-step explanation:
Given: [tex]\mu=0.75[/tex] pounds
[tex]\sigma= 0.2[/tex] pounds
n= 50
Two tailed critical z-value for 90% confidence level = 1.645
Let x be the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food .
z-score = [tex]\dfrac{x-\mu}{\sigma}[/tex] [tex]=\dfrac{x-0.75}{0.2}[/tex]
Then, [tex]\dfrac{x-0.75}{0.2}=1.645[/tex]
[tex]x-0.75=1.645\times0.2\\\\\Riightarrow\ x-0.75=0.329\\\\\Rightarrow\ x= 0.329+0.75\\\\\Rightarrow\ x= 1.079[/tex]
Foe 50 students, total amount of food = 1.079 x 50 = $53.95
hence, the cafeteria should have food of amount $53.95 so that it is be 90 percent confident that it will not run out of food.
BRAINLIEST graphing question
Answers
Answer:
Step-by-step explanation:
Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the probability that the length $DG$ is less than or equal to $1.$
Answers
[tex]|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%[/tex]
Answer:
13.44%
Step-by-step explanation:
For DG to have length of 1 or less, point G must be contained in a sector of a circle with center at point D, radius of 1, and a central angle of 60°.
The area of that sector is
[tex]A_s = \dfrac{n}{360^\circ}\pi r^2[/tex]
[tex]A_s = \dfrac{60^\circ}{360^\circ} \times 3.14159 \times 1^2[/tex]
[tex] A_s = 0.5254 [/tex]
The area of the triangle is
[tex] A_t = \dfrac{1}{2}ef \sin D [/tex]
[tex]A_t = \dfrac{1}{2}\times 3 \times 3 \sin 60^\circ[/tex]
[tex] A_t = 3.8971 [/tex]
The probability is the area of the sector divided by the area of the triangle.
[tex]p = \dfrac{A_s}{A_t} = \dfrac{0.5254}{3.8971} = 0.1344[/tex]
(x2 - 41)2 + (yz - Yı) to the find the length of the segment
62. Use the distance formula d =
from (6,0) and (-5, 4).
Answers
Answer:
√137
Step-by-step explanation:
[tex](x_1, y_1) = (6, 0)\\(x_2, y_2) = (-5, 4)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d = \sqrt{(-5-6)^2+(4-0)^2}\\ d = \sqrt{(-11)^2+(4)^2}\\ d = \sqrt{121+16}\\ d = \sqrt{137}\: or \:11.7[/tex]
Find the distance between the two points (-4,4) and (1,0)
Answers
Answer:
The answer is
[tex] \sqrt{41} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by
[tex] \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } [/tex]
where
( x1 , y1) and ( x2 , y2) are the points
So the distance between (-4,4) and (1,0) is
[tex] \sqrt{( { - 4 - 1})^{2} + ( {4 - 0})^{2} } [/tex][tex] = \sqrt{ ({ - 5})^{2} + {4}^{2} } [/tex][tex] = \sqrt{25 + 16} [/tex]We have the final answer as
[tex] \sqrt{41} \: \: \: units[/tex]Hope this helps you
How to solve this pythagoras theorem
Answers
Answer:
see explanation
Step-by-step explanation:
The hypotenuse is the longest side thus is (4x + 1)
The legs are 2x and (4x - 1)
Using Pythagoras' theorem, then
(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors
16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is
16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )
- 4x² + 16x = 0 ( multiply through by - 1 )
4x² - 16x = 0 ← factor out 4x from each term
4x(x - 4) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Now x > 0, thus x = 4
2x = 2(4) = 8
4x - 1 = 4(4) - 1 = 16 - 1 = 15
4x + 1 = 4(4) + 1 = 16 + 1 = 17
Thus
perimeter = 8 + 15 + 17 = 40 cm
1. Check the divisibility of the following numbers by 2, 3, 9 and 11 a) 76543 b) 98765436
2. Which of the following numbers are divisible by 4 or 8? a) 67894 b) 9685048
WILL MARK THEM AS BRAINLIST
Answers
Answer:
1. ( I didnt understand the question but I divided them using the calculator.)
A.) 76543
÷ 2= 38,271.5
÷ 3= 25,514.333...
÷ 9= 8,504.777...
÷ 11= 6,958.454545...
B.) 98765436
÷ 2= 49,382,718
÷ 3= 32,921,812
÷ 9= 10,973,937.333...
÷ 11= 8,978,676
2. B
A.) 67894
÷ 4= 16,973.5
÷ 8= 8,486.75
B.) 9685048
÷ 4= 2,421,262
÷ 8= 1,210,631
Explanation:
I used the calculator to divide.
I hope this helps! I'm sorry if it's wrong.
a girl walk to her anteys house and it took 45 minats and she gose to school it took her 61 minates and how many minats was it all together
Answers
Answer:
45+61=106
the answer for this question is 106 minutes
Step-by-step explanation:
Answer:
106 minutes/1hour 46 minutes
Step-by-step explanation:
45+ 61 :106
In this 3x3 square, you can use only numbers from 1-9, to make all the rows and columns equal to 15. Good luck to the person solving this and just know that I and lots more people thank you for solving this!
Answers
Answer:
Hello,
Step-by-step explanation:
The well-known magic square. (first apparition in China).
Here it the methode du Marquis de Liouville: (odd square:3,5,7,9,11,13,...)
We are going to put successively the number from 1 to n² (here n=3)
We imagine that the square is put on a sphere;
We begin in the middle of the last line where we put 1
ICI:
We move in direction SE of one case and put le next number
until we reach of multiple of n
After have reached a multiple of n, we move verticaly of one case
and we go to ICI until we reach n²
Camila and Lucíana bought the same mobile phone but in different places. Camila's had a value of 120,000 but they gave her a 30% discount, while Luciana had a value of 150,000 on which they applied a 40% discount Who paid less?
Answers
Answer:
Camila paid less
Step-by-step explanation:
In the question, we are told:
Camila's phone had a value of 120,000 but they gave her a 30% discount.
Therefore, Camila paid:
30% × 120,000
= 30/100 × 120,000
= 36,000
Luciana had a value of 150,000 on which they applied a 40% discount
Luciana paid:
40% × 150,000
40/100 × 150,000
= 60,000
From the calculation,
Camila paid 36,000 and Luciana paid 60,000, therefore, Camila paid less.
Lisa kicked a ball against the wall at the indicated angle. What is the measure, in degrees, of <1?
Answers
Answer:
68°
Step-by-step explanation:
since the ball is placed or comes from a straight line (which is the wall) it means that when you add all those angles the final answer has to be 180 because angles in a straight line add up to 180°
68°+44°+1=180
112°+1=180
1=180-112
=68°
I hope this helps
The measure of ∠1 is 68 degrees.
We have Lisa who kicked a ball against the wall at the indicated angle.
We have to determine the measure of the angle 1 in degrees.
What is the angle of a straight line ?A straight line has an angle of 180 degrees.
According to question, we have -
∠3 = 68 degrees
∠2 = 44 degrees
Therefore -
∠3 + ∠2 + ∠1 = 180
68 + 44 + ∠1 = 180
112 + ∠1 = 180
∠1 = 180 - 112
∠1 = 68 degrees
Hence, the measure of ∠1 is 68 degrees.
To solve more questions on Finding unknown variable visit the link below -
https://brainly.com/question/28012367
#SPJ2
On weekdays, Kiki walks 2 miles in the morning and 1 mile in the evening On Saturdays, she walks 4 miles.
5 x 2 + 1 + 4 Where should I put the Parentheses
BTW I'm 5th Grade
Answers
Answer:
5(2+1)+4
Step-by-step explanation:
Lusine saw birds and mice eating seeds on the ground. She calculated 12 heads and 39 legs in total. How many birds and mice are on the ground?
Answers
Answer:
4.5 birds, 7.5 mice
Step-by-step explanation:
We know that birds have 2 legs and mice have 4. Furthermore, birds have 1 head as well as mice.
If b represents the amount of birds and m represents the amount of mice, because there are only birds and mice here, the total amount of birds and mice (b + m) must equal 12.
b + m = 12
Next, to find the total amount of bird legs, we must add 2 legs for each bird. Another way of putting this is to multiply 2 by the amount of birds, or b * 2. Similarly, the amount of mice legs is equal to m * 4. The total amount of legs is equal to 39, so
2b + 4m = 39
Our two equations are thus
b + m = 12
2b + 4m = 39
One way to solve this is to solve for m in the first equation and plug that into the second. We have
b + m = 12
subtract b from both sides
m = 12-b
substitute that into the second equation
2b + 4(12-b) = 39
2b + 48 - 4b = 39
-2b + 48 = 39
subtract 48 from both sides to isolate the b and its coefficient
-2b = -9
divide both sides by -2 to isolate b
b = 4.5
Therefore, there are 4.5 birds on the ground (there is somehow a half of a bird!)
Plugging that into m = 12-b, we have m = 12-4.5 = 7.5
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ = 24.2 σ=24.2. You would like to be 98% confident that your estimate is within 1 of the true population mean. How large of a sample size is required?
Answers
Answer:
use a z* value accurate to TWO places for this problem. (Not z = 2)
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
;)
simplify. multiply and remove all perfect squares from inside the square root. assume A is positive. 3 square root 5a times 8 square root 35a2
Answers
Answer:
I did this same answer on another app
hope this help☺️
Number17) Find length of CD.
Answers
Answer:
2.4
Step-by-step explanation:
similar triangles
Therefore
4/CD = 5/3
CD= 12/5
Find the circumference of this circle
using 3 for TT.
C ~ [?]
24
C = id
Answers
Answer:
72
Step-by-step explanation:
The diameter is 24
pi is approximated by 3
The circumference is given by
C = pi *d
= 3 * 24
= 72
What are the dimensions of the matrix?
Answers
The order of a matrix is m×n where m is the number of rows and n is the number of columns.
can you count and find what are m and n here?
Answer:
Step-by-step explanation:
Number of rows X Number of columns
Rows = 3
Columns = 2
answer = 3x2
Michael is using a number line to evaluate the expression –8 – 3. A number line going from negative 12 to positive 12. A point is at negative 8. After locating –8 on the number line, which step could Michael complete to evaluate the expression?
Answers
Answer:
move to the left 3 more spaces
Step-by-step explanation:
you are at -8 already. Therefore, you (-3) more spaces, so you go to the left three more spaces. Use the saying keep change change to help with this.
Keep the first number sign, change the next sign, and the next sign.
Answer:
d
Step-by-step explanation:
How to simplify fractions (please also right down rules when doing so, ((like x+x = x or axa=)
Question is
-2a(2b-3a)
Answers
＝－2a×2b－2a×(－3a)
＝－4ab＋6a²
Hope my answer helped u :)
Answer:
[tex] - 2a(2b - 3a) = - 2a2b + 2a3a \\ = - 4ab + 6 {a}^{2} \\ thank \: you[/tex]
Can someone please help! Thx
Answers
Answer:
Hey there!
The angle is 24 degrees.
The angle complementary to the 66 degrees is 24 degrees, and the unknown angle is also 24 degrees because these are alternate interior angles.
Let me know if this helps :)
What two numbers multiply to negative 12 and add up to negative 13
Answers
Answer:
−13.8654599313 and 0.8654599313
Step-by-step explanation:
The two numbers of interest will be the solutions to ...
xy = -12
x +y = -13
Substituting for y, this becomes the quadratic ...
x(-13 -x) = -12
x^2 +13x = 12 . . . . . multiply by -1
x^2 +13x +6.5^2 = 12 +6.5^2 . . . . . complete the square
(x +6.5)^2 = 54.25
x = -6.5 ± √54.25 . . . . . . take the square root, subtract 6.5
x ≈ -13.865499313 or 0.8654599313
The value of y is the other of these two numbers. So, the two numbers of interest are {-13.865499313, 0.8654599313}.
When trying to determine where to shade on the inequality below, why is it unhelpful to test the point (4,0)?
vs-ſ=+2
Answers
Answer:
It will not be very helpful to use this point because it lies on the x-axis. Which doesn't show what area to shade.
Step-by-step explanation:
if f(x)=x-6 and g(x)=x^1/2(x+3), find g(x) X f(x)
Answers
Answer:
[tex]\bold{f(x)\cdot g(x)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12}[/tex]
Step-by-step explanation:
[tex]f(x)=x-6\ ,\qquad g(x)=\big x^\frac12(x+3)\\\\\\f(x)\cdot g(x)=(x-6)\cdot\big x^\frac12(x+3)=\big x^\frac12(x^2-3x-18)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12[/tex]
Pleaseeeeee
Within 9 hours, the number of stars seen went from 190 to 33 as the sun started to rise. Find out how many stars are getting hidden by the sunlight each hour.
Answers
Answer:
Approximately 17
Step-by-step explanation:
Number of starts getting hidden in 9 hours = 190 - 33
= 157
Therefore the nun of starts getting hidden in 9 hours is 157
9 hours = 157 stars
1 hours = x
Cross multiply
9 × x = 157 × 1
9x = 157
Divide both sides by 9
x = 157 ÷ 9
x = 17.4
Therefore 17.4 stars are getting hidden every hour.
Answer:
17 4/9 stars per hour
Step-by-step explanation:
First find the decrease in the number of stars
190-33 = 157
Divide by the hours that passed
157/9
17 4/9 stars per hour
3y-4(5x-3y+y²) expand and simplify
Answers
Answer:
23x + 12y + -4xy^2
Step-by-step explanation:
So lets first expand
3y (-4 x(5x - 3y + y^2)
let's ignore 3y for now
Since 5x - 3y + y^2 can't be simplified, we move on to multiplying each number.
note: Capital X = Multiplying symbol
___________________________________
-4 X 5x, -4 X - 3y, -4 X y^2
= -20x + 12y + -4xy^2
now we bring back the 3x
3x - -20x + 12y + -4xy^2
so now we simplify, by finding like terms
= 23x + 12y + -4xy^2
Identify the cross section shown
circle
rectangle
triangl
trapezoid
Answers
It is a rectangle
The shaded thing
Must click thanks and mark brainliest
How to find the area of the shaded region
Answers
Answer:
61 cm^2.
See below.
Step-by-step explanation:
Which equation can be used to solve for x in the following diagram?
PLS ANSWER I NEED HELP BRAINLIST AND A THANK YOU WILL BE REWARDED
Answers
Answer:
D. 4x+5x=180
Step-by-step explanation:
Answer:
D. 4x + 5x = 180
Step-by-step explanation:
The two angles form a straight line and a straight line equals 180°. So, the sum of the two angles has to equal 180°.
4x + 5x = 180
9x = 180
x = 20°
Hope that helps.
The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 36°.Calcule the height of the pole
Answers
===================================================
Work Shown:
x = starting length of the shadow
y = height of the pole
tan(angle) = opposite/adjacent
tan(58) = y/x
1.6003345 = y/x
1.6003345x = y
x = y/1.6003345
x = (1/1.6003345)y
x = 0.62486936y
-------------------------
When the angle changes, the adjacent side gets 90 meters longer
tan(angle) = opposite/adjacent
tan(36) = y/(x+90)
0.72654253 = y/(0.62486936y+90)
0.72654253(0.62486936y+90) = y
0.453994166y + 65.3888277 = y
65.3888277 = y-0.453994166y
65.3888277 = 0.546005834y
0.546005834y = 65.3888277
y = 65.3888277/0.546005834
y = 119.758478075162
y = 119.76
The height of the pole is about 119.76 meters.