Answer:
y = 40
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
y+10 + 2y +50 = 180
3y+60 = 180
Subtract 60 from each side
3y+60-60 = 180-60
3y = 120
Divide each side by 3
3y/3 = 120/3
y = 40
The sick days of employees every two years in a company are normally distributed with a population standard deviation of 7 days and an unknown population mean. If a random sample of 20 employees is taken and results in a sample mean of 21 days, find a 95% confidence interval for the population mean.
Step-by-step explanation:
Let [tex]$X_1, X_2, X_3,$[/tex] . . . ,Xn be the random sample of n employee's sick days. It is given that the random samples follows the Normal distribution along with standard deviation of 7 days. Let
[tex]X_i\sim N(\mu ,7)[/tex]
[tex]\bar{X} =\frac{1}{n}\Sigma X_i\sim N(\mu,\frac{7}{\sqrt n})[/tex]
or [tex]Z=\frac{\bar{X}-\mu}{7 /\sqrt n} \sim N(0,1)[/tex]
So,
[tex]P(-Z_{\alpha /2} \leq Z\leq Z_{\alpha /2} ) = 1- \alpha[/tex]
[tex]P(-Z_{\alpha /2} \leq \frac{\bar{X}- \mu}{7 / \sqrt n}\leq Z_{\alpha /2} ) = 1- \alpha[/tex]
[tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} \leq \mu \leq \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} ) = 1- \alpha[/tex]
Therefore, the confidence interval of the population mean for α = 0.05 is
= [tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} , \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} )[/tex]
= [tex]P(21-\frac{7}{\sqrt 20} Z_{0.05 / 2} , 21+\frac{7}{\sqrt 20} Z_{0.05 / 2} )[/tex]
= (17.93, 24.07)
Solve equation 4/3y = 18
Answer:
See Below
Step-by-step explanation:
[tex]\frac{4}{3} y = 18\\[/tex]
3 x [tex]\frac{4}{3} y = 18\\[/tex] x3
4y = 54
divide by 4
y= 13 1/2 or 13.5
Convert the following decimals to percentages.
0.52 =
%
Answer:
52% is the answer
52%
all decimals can convert to percentages easily. For example:
0.76 = 76%
0.4 = 40%
0.093 = 9.3%
just move the decimal point 2 places backwards.
need help solving 3/5+1/4=
Answer:
17/20 or 0.85
Step-by-step explanation:
3 x 4/20 + 1 x 5/20
12/20 + 5/20
( 12 + 5 ) / 20
17/20
( 0.85 )
The volume of a rectangular prism with a length of x meters, a width of x - 1 meters, and a height of x + 11 meters is
no more than 180 cubic meters. What are the possible values of the length?
(-0, -9) U (-5,4)
0 (0,4)
O (1.4)
O (1.4)
Answer:
The answer is c
Step-by-step explanation:
Find the equation of the line with the following properties slope does not exist and the
line passes through (-5,-2).
Answer:
y = -2
Step-by-step explanation:
Slope does not exist, meaning that the line is horizontal. Therefore, the equation is just y = -2.
HELP!! PLZ! EXPLAIN WHY U THINK YOUR ANSWER IS CORRECT AND PLZ DO THE CORRECT ANSWER I WILL ALSO TELL U IF YOUR ANSWER IS WRONG
Answer:
10.29 meters per second and 10.26 meters per second
Step-by-step explanation:
200/ 19.44 = 10.29
100/ 9.75 = 10.26
Answer:
Option no. 1
Step-by-step explanation:
Speed= [tex]\frac{distance}{time}[/tex]For the 200 meter race:
his speed is [tex]\frac{200}{19.44}[/tex] = 10.29 meters per seconds
For the 100 meter race:
his speed is [tex]\frac{100}{9.75}[/tex] = 10.26 meters per seconds
Function notation
Given f(x) = 5x - 3, find f(-2).
Choose:
A-13
B-7
C-5
D0
Steps to solve:
f(x) = 5x - 3
~Substitute
f(-2) = 5(-2) - 3
~Simplify
f(-2) = -10 - 3
~Subtract
f(-2) = -13 (Option A)
Best of Luck!
Answer:
Step-by-step explanation:
f(-2) = 5(-2) - 3 = -10 - 3 = -13
A is the answer
This table displays the height of water as a pool is being Use the table to interpret the rate of change.
filled.
What is the change for each consecutive input?
Time (min)
Height
(in.)
What is the change for each consecutive output?
10
3.75
What is the rate of change for the relationship?
11
4.1
VVU
ለለለ
12
4.45
13
4.8
Answer: the first one is 1 the second and third is 0.35
Step-by-step explanation:
I jus guessed and got it right someone else has to explain sorry
Answer: 1.) 1
2.) 0.35
3.) 0.35
Step-by-step explanation:
Help. Your backyard is 17 feet longer than it is wide. Its area is 7068 square feet. Its width is Solve by using quadratic equation.
Answer: Width=76 ft
Step-by-step explanation:
Let x = width, then x+17=length
Solve:
(x+17)x=7086
x²+17x=7086
x²+17x-7086=0
(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer
x=76 or x=-93 (rej) ⇔ A length cannot be negative.
answer these questions
5. Michelle feeds her fish 20 grams of fish food a day. How many kilograms of fish food does Michelle use in 8 weeks? Show your work
(A) 0.112
(B) 1.12
(C) 11.2
(D) 112
Answer: (B) 1.12
Step-by-step explanation:
8 weeks = 56 days
56 days x 20 grams = 1120 grams
1120 grams = 1.12 kilograms
The set of odd numbers greater than 19 ? Infinite or finite
Answer: Infinite
Odd numbers are of the form 2n+1, where n is an integer
Solving 2n+1 > 19 leads to n > 9. There are infinitely many integers that make the inequality n > 9 to be true.
22 must lie between the whole numbers
and
Which of the following best describes the number shown below?
0.898989...
A. Rational
B. Neither Rational nor Irrational
C. Both Rational and irrational
D. Irrational
Answer:
Step-by-step explanation:
0.898989..... is a rational number because it has a terminating decimals
How many ten thousands =400 hundreds
Answer:
4.
Step-by-step explanation:
Take 400 hundreds, 100 x 400 = 40,000. Take that divided by 10,000 your answer would be 4.
Use what you know about addition and subtraction of polynomials to find the missing term represented
by the question mark in each equation.
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x2 + 14x + 8
? =
(-b3 + 3b2 + 8) – (? - 562 - 9) = 5b3 + 8b2 + 17
? =
DONE
vous Activity
Answer:
1= 6x2
2= -6b3
Step-by-step explanation:
The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given first equation,
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8
-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8
-4x² + 14x + 8 + ? = 2x ²+ 14x + 8
? = 2x ²+ 14x + 8 + 4x² - 14x - 8
? = 6x²
In the second equation,
(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17
(-b³ + 3b² + 8) - (5b³ + 8b² + 17) = (? - 562 - 9)
? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571
? = -6b³ - 5b² + 562
Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".
For more about the equation,
brainly.com/question/10413253
#SPJ6
Homework Worksheet: 3.2 Day 1 - Slope
Name:
Period:
Question 1: Identify the slope (Positive, Negative, Zero, Undefined)
ANSWER:
Question 2: Identify the slope (Positive, Negative, Zero, Undefined)
ANSWER:
1
Question 3: Find the slope & explain what kind of slope it is.
ANSWER:
Question 4: Find the slope & explain what kind of slope it is.
ANSWER:
Question 5: Find the stope & explain what kind of slope it is
(12.-18) and (11, 12)
ANSWER:
Thank
Answer:
1) zero
2) undefined
3) negative
4) positive
5) negative y= -30x+342
hope this helps;)
a tree is 5 feet 3 inches tall. how tall is it in inches
Answer:
63 inches
Step-by-step explanation:
Answer:
63 inches
Step-by-step explanation:
12inches = 1 foot.
5x12=60+3=63
plsss i really need help! How many unique handshakes can be made between 5 people? if you help me ill give u brainliest!
Answer:
10
Step-by-step explanation:
This is called a combination. Imagine you draw a figure, with a number representing each person, as shown below:
1 2 3 4 5
Person 1 can shake person 2, 3, 4, and 5's hands, for a total of 4 handshakes.
Person 2 can shake 3, 4, and 5's hands, for a total of 3 handshakes.
Person 3 can shake 4 and 5's hands, for a total of 2 handshakes.
Person 4 can only shake 5's hand, which is 1 handshake.
Last you add up the handshakes from every person, 4+3+2+1, which is equal to ten unique handshakes.
john is going to invest $1234 at 9% simple interest. how long will it take for it to be worth $2308? use I=Prt and solve
Answer:
approximately 21 years
Step-by-step explanation:
-From the problem, we are given the equation I = Prt
-We're also given three numbers
-From that, we can determine which number should be plugged into the equation:
P = $1234 (this is the principle amount/original amount)r = 0.09 (this is the rate of simple interest)I = $2308 (this is the ending amount)-The only value we are not given is t as we need to solve for this value
-Now plug all these values into the equation:
I=Prt$2308 = ($1234)(0.09)t$2308 = 111.06tDivide both sides by 111.06t = 20.7816It takes approximately 21 years for the investment amount to be worth $2308.
Differentiate the function. f(x) = sin(9 ln(x))
Answer: [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].
Step-by-step explanation:
The given function is
[tex]f(x)=\sin(9\ln (x))[/tex]
Using chain rule differentiate w.r.t. x.
[tex]f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))[/tex] [tex]\left[\because \dfrac{d}{dx}\sin x=\cos x\right][/tex]
[tex]f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right][/tex]
[tex]f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right][/tex] [tex]\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right][/tex]
[tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex]
Therefore, [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].
What’s the answer to -11-8=
-11-8 = -19
Step-by-step explanation:
semoga membantu anda
A certain analog clock runs fast and gains 5 minutes every 8 hours. It was set to show the correct time. What is the shortest interval of time after which the clock will show the correct time again?
Answer:
1152 hours
Step-by-step explanation:
It doesn’t mention that it has AM or PM, so we’re assuming that it’s just the same time, regardless if the clocks actually shows the wrong time in am/pm-wise.
So, if it gains 5 minutes every 8 hours, we have to make see how many 5-minutes that we need to make 12 hours. 12 hours is equal to 720 minutes, so 720/5=144. Since it asks how many hours we need for it to become the same time again, we need to add the fact that it only adds 5 minutes every 8 hours. Henceforth, we need to multiply our answer (144) by 8 hours. 144*8=1152. Your answer is 1152 hours.
(If you saw this answer before, it was here before, only worded a little bit differently. The admins deleted the response, with this explanation:
‘Your answer has been removed because it was incomplete or incorrect. We know you were excited to help, so please repost and make sure to include any necessary explanations and details. That way other students will better understand your answer. Check out what makes a great answer here: https://faq.brainly.com/hc/en-us/articles/360010136959-Answering-Guidelines ߷’
I was a little confused, because for me it’s wasn’t really incorrect OR incomplete, but I’m going to repost with different wordings. I just want to help people. Hopefully this time my answer doesn’t get deleted.)
Hope this helps you!
The shortest interval of time after which the clock will show the correct time again is 144 hours.
Given that a certain analog clock runs fast and gains 5 minutes every 8 hours, and it was set to show the correct time, to determine what is the shortest interval of time after which the clock will show the correct time again the following calculation must be done:
A clock has a duration of 12 hours, that is, it makes a full turn in that time. Thus, the advance time must be 12 hours for the marked time to be correct.
5 minutes = 1/12 hour 12 hours = 1 hour in advance 12 x 12 = X 144 = X
Therefore, the shortest interval of time after which the clock will show the correct time again is 144 hours.
Learn more in https://brainly.com/question/417916
Which input value produces the same output value for
the two functions on the graph?
x=-3
x= -2
x=-1
x= 3
Plzzzzz help me
In 1980, a Domino's large pizza cost $4.99.
What would be the cost of that pizza in 2000?
Answer:
i cant understand it brief it plz
Step-by-step explanation:
which answer is right?
Answer: D
Step-by-step explanation:
Since we know that the area of the square is 900 in², we can use that to find the length of each side.
900=x² [square root both sides]
x=30
Now that we know each side is 30 in, we know that the diameter of the circle is also 30 in. To find the radius, divide the diameter by 2.
2r=30 [divide both sides by 2]
r=15
With the radius, we can find the area of the circle.
A=π(15)² [exponent]
A=225π
Since the problem said to leave in terms of π, the area is A=225π in².
Pls, Help! I need this today!
Answer:
see below
Step-by-step explanation:
5/6 + ( -1 1/6)
Changing the mixed number
5/6 + - (6/6 +1/6)
5/6 + ( -7/6)
-2/6
Simplify
-1/3
Since these are divided into 6 pieces, go two pieces to the left of zero.
what is 45 +12 -12 +12 -12
Answer:
45
Step-by-step explanation:
1) First, add 45 and 12 which equals to 57.
2)Then, subtract 12 from 57 which equals to 45.
3) Again, add 45 and 12 which equals to 57.
4) Finally, subtract 12 from 57 which leaves us with 45.
Hope this helps!
Answer:
45
Step-by-step explanation:
.Find the unknown angles in each of the following figures and mention the property used
Answer/Step-by-step explanation:
a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°
x + y + 50° = 180° (sum of angles in a ∆)
x + 80° + 50° = 180 (substitution)
x + 130° = 180°
x = 180° - 130° (subtracting 130 from each side)
x = 50°
b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)
x = 120 - 50 (subtracting 50 from each side)
x = 70°
y + x + 50° = 180° (sum of angles in a ∆)
y + 70° + 50 = 180° (substitution)
y + 120° = 180°
y = 180 - 120 (subtracting 120 from each side)
y = 60°