Answer:
You need to know that pairs of two angles are congruent and the pair of sides adjacent to one of the given angles are congruent
Mr Lorenzo must make a minimum of 48 circuit boards per day. On Wednesday he made 60. What percent of required minimum did he make
Answer:
He made 125% of the required minimum.
Step-by-step explanation:
Percentage:
The percentage that a number b is of a is given by:
[tex]P = \frac{100b}{a}[/tex]
In this question:
Minimum of 48, made 60. The percentage 60 is of 48 is:
[tex]P = \frac{100(60)}{(48)} = 100(1.25) = 125[/tex]
He made 125% of the required minimum.
what is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question.
a. 0.02
b. 0.14
c.0.34
d.0.84
You want to find Pr[-2 < Z < -1].
The table tells you that
• Pr[Z < 0] = 0.5000
• Pr[Z < 1.00] = 0.8412
• Pr[Z < 2.00] = 0.9772
• Pr[Z < 3.00] = 0.9987
We have
Pr[-2 < Z < -1] = Pr[Z < -1] - Pr[Z < -2]
(because the distribution of Z is continuous)
… = Pr[Z > 1] - Pr[Z > 2]
(by symmetry of the distribution about its mean)
… = (1 - Pr[Z < 1]) - (1 - Pr[Z < 2])
(by definition of complement)
… = Pr[Z < 2] - Pr[Z < 1]
… = 0.9772 - 0.8412
… = 0.1360 ≈ 0.14 … … … (B)
Answer:
it's B aka 0.10.14
Step-by-step explanation:
Determining if a Relationship Is a Function
Which represents a function?
Answer:
only the first one...
a "FUNCTION" has a UNIQUE relation between each input and output...
notice the middle one the -2 goes to BOTH th2 10 & -7 that makes it NOT a FUNCTION
Step-by-step explanation:
How to find the exact answer of the area and circumference
I know how to find the approximate answer for both but i don’t know how to find the exact answer. Pi should be included in the exact fraction.
Can someone explain pls:)
Answer:
[tex]\pi \\[/tex] is irrational so any attempt to use 3.14... is never EXACT...
do not try to convert it ... if it asks for exact..
write 81[tex]\pi \\[/tex] or 9 [tex]\pi \\[/tex] etc. don't put in 63.62 like answers
Step-by-step explanation:
Sophia pays £222 for a plane ticket.
She also pays 100 euros airport tax.
The exchange rate is £1 = 1.38 euros.
What percentage of the total cost of the ticket and the airport tax does Sophia pay
for the
airport tax?
Give your answer correct to 1 decimal place.
9514 1404 393
Answer:
24.6%
Step-by-step explanation:
The cost of the ticket in euros is ...
£222 × €1.38/(£1) = €306.36
Then the ratio of the tax to the to the total cost is ...
€100/(€306.36 +100) = 100/406.36 ≈ 24.6%
A record club has found that the marginal profit,
Upper P prime (x ), in cents, is given by
Upper P prime (x )equals negative 0.0008 x cubed plus 0.20 x squared plus 46.8 x for x less than or equals 200,
where x is the number of members currently enrolled in the club. Approximate the total profit when 120 members are enrolled by computing the sum
Summation from i equals 1 to 6 Upper P prime (x Subscript i Baseline )Upper Delta x with Upper Delta x equals 20.
Solution :
Given :
[tex]$P'(x) = -0.0008x^3+0.20x^2+46.8x,$[/tex] for x ≤ 200
Total profit when 120 members are enrolled is :
[tex]$\sum_{i=1}^6P'(x_i) \Delta x$[/tex] with [tex]\Delta x = 20[/tex]
Using the left end points, we get,
The values of [tex]x_i[/tex] are : { 0, 20, 40, 60, 80, 100}
Therefore,
[tex]$P'(x_1) = P'(0)=-(0.0008)(0)^3+(0.20)(0)^2+(46.8)(0)$[/tex]
= 0
[tex]$P'(x_2) = P'(20)=-(0.0008)(20)^3+(0.20)(20)^2+(46.8)(20)$[/tex]
= 1009.6
[tex]$P'(x_3) = P'(40)=-(0.0008)(40)^3+(0.20)(40)^2+(46.8)(40)$[/tex]
= 2140.8
[tex]$P'(x_4) = P'(60)=-(0.0008)(60)^3+(0.20)(60)^2+(46.8)(60)$[/tex]
= 3355.2
[tex]$P'(x_5) = P'(80)=-(0.0008)(80)^3+(0.20)(80)^2+(46.8)(80)$[/tex]
= 4614.4
[tex]$P'(x_6) = P'(100)=-(0.0008)(100)^3+(0.20)(100)^2+(46.8)(100)$[/tex]
= 5880
[tex]$\sum_{i=1}^6P'(x_i) \Delta x = P'(x_1)\Delta x + P'(x_2)\Delta x + P'(x_3)\Delta x + P'(x_4)\Delta x + P'(x_5)\Delta x + P'(x_6)\Delta x $[/tex]
= (0)(20) + (1009.6)(20) + (2140.8)(20) + (3355.2)(20) + (4614.4)(20) + (5880)(20)
= (20)( 0 + 1009.6 + 2140.8 + 3355.2 + 4614.4 + 5880)
= (20)(17,000)
= 340,000 cents
[tex]$=\frac{340000}{100} \ \text{dollars}$[/tex]
= 3400 dollars
Hence, the required total profit is 3400 dollars.
A polling organization surveyed 2,000 residents of a town for their views on the mayor, and 1,640 respondents said they approved of the mayor. The organization then published a report of its findings, stating a range of the percentages of residents who approve of the mayor with 95% confidence. Based on this information, what is the lowest possible percentage of residents who approve of the mayor?
Answer:
80.32%
Step-by-step explanation:
The proportion who approved of the mayor :
p = number who approved of the mayor / total respondents = 1640 / 2000 = 0.82
The confidence interval for proportion is given by :
p ± Zcritical * √p(1 - p) / n
Zcritical at 95% = 1.96 (Z standard table distribution)
0.82 ± 1.96 * √0.82(0.18) / 2000
0.82 ± 1.96 * 0.0085906
0.82 ± 0.0168377
(0.8032 ; 0.8368)
Lower boundary = 0.8032
Answer:
See image below
Step-by-step explanation:
SOMEONEEEE PLEASEEEEE HELPPPPP MEEEEE OUTTTTT!!!! ASAPPP
Answer:
3/4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan X = opp side / adj side
tan X = 24/32
tan X = 3/4
Answer:
tan X = 24/32
Step-by-step explanation:
Using SOH-CAH-TOA, we can figure out tan X.
To find tan. the equation is opposite over adjacent.
So, tan X = 24/32.
Which of the following equations would not have a solution that is the same as the solution to the system. shown below?
4x+y=7
-2x+5y=1
———————————————
1) 11y = 9
2) 2x + 6y = 8
3) -4x + 10y = 1
4) 12x + 3y = 21
please help asap and thank you in advance to anyone who answers this for me ! :)
Answer:
Step-by-step explanation:
I’m stuck on this one help anyone?
Answer:
just add a small amount to the 2.8 and square the result
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
Find the measure of each angle indicated.
890
50°
A) 44°
C) 47°
B) 51°
D) 71°
Answer:
51
Step-by-step explanation:
See the other answer
Answer:
(B). 51°
Step-by-step explanation:
SOMEONEEEE HELPPP MEEEEE PLEASEEEE!!!!
Answer:
[tex]{ \tt{ \tan(x) = \frac{opposite}{adjacent} }} \\ \\ { \tt{ \tan( \theta) = \frac{30}{16} }}[/tex]
Help and please explain I don't get khan academy
Answer:
same y intercept
Step-by-step explanation:
The y intercept is when r = 0
Function 1
p = -3/2 r - 5
Let r = 0
p = 0-5
p = -5
Function 2
When r = 0 p = -5
They both equal -5, so they both have the same y intercept
4(7x 3)-2(3 -5x) -5 [2x+1)
n(a)=60% n(o)=70% N(ano)=400 n(auo)complenment=10 find U and a only
n(A∪B)=n(A)+n(B)−n(A∪B)=50+60−40=70
n(AΔB)=n(A∪B)−n(A∩B)
⇒70−40=30.
Which graph shows the solution set of
Below, the two-way table is given for a
class of students.
Please HELP ME!!!!!!!!
i think 51 is answer......
Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the top of the opposing wall is 20° and the angle of depression to the bottom of the opposing wall is 230 feet. Using the appropriate right triangle solving strategies, solve for the following: (Do not round intermediate calculated values. Only the final answer should be rounded to one decimal place.)
the height of the short wall (x)
the height of the tall wall (y)
the distance between the canyon walls (z)
How do I solve this and get to the answer.
We found that the height of the short wall "x" is 162.6 ft, the height of the tall wall "y" is 221.8 ft, and the distance between the canyon walls "z" is 162.6 ft.
To find the x, y, and z values we need to denote the right triangles from top to bottom as triangles 1, 2, and 3.
1. Finding the height of the short wall "x"
We can find the height of the short wall "x" (in triangle 3) with the following trigonometric function:
[tex] cos(\theta) = \frac{x}{H} [/tex]
Where:
H: is the hypotenuse = 230 ft
θ: is the angle between x and H.
Knowing that the sum of θ and the angle 45° must be equal to 90°, θ is:
[tex] \theta = 90 - 45 = 45 [/tex]
Hence, the height of the short wall "x" is:
[tex]x = cos(\theta)*H = 230cos(45) = 162.6 ft[/tex]
2. Finding the height of the tall wall "y"
The height of the tall wall "y" is given by the sum of the bases of the two first right triangles (the right triangles 1 and 2):
[tex] y = y_{1} + y_{2} [/tex]
Where y₁ and y₂ can be calculated with the tangent and sine trigonometric functions.
[tex]y_{1} = A*tan(20)[/tex]
[tex] y_{2} = 230sin(45) [/tex]
Where A is the adjacent side to the angle 20°.
[tex] y = A*tan(20) + 230sin(45) [/tex]
Since the right triangles 2 and 3 form a square, with all the sides equals to x, we have:
[tex] A = z = y_{2} = x = 230cos(45) [/tex]
We can use 230cos(45) or 230sin(45) to calculate y₂, so the height of the tall wall "y" is:
[tex] y = y_{1} + y_{2} = A*tan(20) + 230cos(45) = 230cos(45)tan(20) + 230cos(45) = 221.8 ft [/tex]
3. Finding the distance between the canyon walls "z"
As we said above, the "z" value is the same as "x", then:
[tex]z = x = 230cos(45) = 162.6 ft[/tex]
Learn more about trigonometric functions here: https://brainly.com/question/14272510?referrer=searchResults
I hope it helps you!
Solve the equation 15x + 22 = 7x +62
Answer:
hope it helps you........
Answer:
x = 5
Step-by-step explanation:
1. Subtract 22 from both sides.
15x = 7x + 62 - 22
2. Simplify 7x + 62 - 22 to 7x + 40.
15x = 7x + 40
3. Subtract 7x from both sides.
15x - 7x = 40
4. Simplify 15x - 7x to 8x.
8x = 40
5. Divide both sides by 8.
x = [tex]\frac{40}{8}[/tex]
6. Simplify [tex]\frac{40}{8}[/tex] to 5.
x = 5
[tex]y = \frac{qx}{p} [/tex]
Write x in terms of p,q and y
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
[tex]y=\dfrac{qx}{p}\\\\qx=py\\\\x=\dfrac{py}{q}[/tex]
Answer:
[tex]x = \frac{yp}{q}[/tex]
Step-by-step explanation:
[tex]y = \frac{qx}{p}[/tex][tex]yp = qx[/tex][tex]x = \frac{yp}{q}[/tex]What is the solution to the system of equations represented by these two lines?
(3, 1)
(3, 0)
(1, 3)
(0, 6)
Answer:
Step-by-step explanation:
it is a function because if you look on the x side 3 is repeating
George earned e extra credit points. Kate earned 35 fewer extra credit points than George. Choose the expression that shows how many extra credit points Kate earned.
Answer:
D. e - 35
Step-by-step explanation:
We have that:
George earned e extra points.
Kate earned k extra points.
Kate earned 35 fewer extra credit points than George.
This means that k is e subtracted by 35, that is:
k = e - 35
So the correct answer is:
D. e - 35
Step-by-step explanation:
Someone help me please
===============================================
Explanation:
The table says that
5 students got an A10 students got a B15 students got a CThat's 5+10+15 = 30 students out of 35 total.
The probability is therefore 30/35 = 0.8571 approximately which rounds to 0.86
There's roughly an 86% chance of picking someone who got an A, B or C.
5x2 + 6x – 8= –7 to the nearest tenth
The slope of line segment AB is -3. What is the slope of a line segment parallel
to AB?
Answer:
-3
Step-by-step explanation:
We know that parallel lines have the same slope so if AB has a slope of -3 then all lines that are parallel have a slope of -3
Mr. Bartolome's salary is Php 18 500 per month. If 40% of his salary was spent for food., how much was spent for food?
Answer:
Amount of his salary spent on food = Php 7400
Step-by-step explanation:
Mr. Bartolome's salary = Php 18500
Percentage of salary spent on food = 40%
Amount of his salary spent on food = 40% of Php 18,500
= 40/100 × Php 18,500
= 0.4 × Php 18,500
= Php 7400
Amount of his salary spent on food = Php 7400
The difference between 1/2 of a number and 1/6 of a number is equal to 10 more than 1/8 of that number which equation could be used to find the number?
Step-by-step explanation:
let the number be x
1/2(x) - 1/6(x) =10 -1/8(x)................this is the equation
1/12(x) + 1/8(x)=10
5/24(x)=10
cross multiply
5x= 240
x=240/5
x=48
In a company of 35 employees, four-sevenths work in sales. How many of the employees work in sales ?
Answer:
20
Step-by-step explanation:
Multiply 4/7 with 35, this will get you 140/7, which simplifies to 20 employees
Let j=+5 - 5+ |-5 x 1/5
What is the value of+J?
Answer:
j=|x|
Step-by-step explanation:
help me in this plz....
Answer:
70. 8x⁴
71. 3n - 10
72. a/5 + 12
Step-by-step explanation:
70. a number "x" raised to the fourth = x⁴
Product of 8 and x⁴ = 8 × x⁴
= 8x⁴
71. 3 times a number "n" = 3 × n = 3n
3n decreased by 10 = 3n - 10
72. Quotient of a number "a" and 5 = a/5
12 more than a/5 = a/5 + 12
