Answer:
10.5
Step-by-step explanation:
Step 1:
7 : x = 2 : 3 Equation
Step 2:
2x = 21 Multiply
Step 3:
x = 21 ÷ 2 Divide
Answer:
x = 10.5
Hope This Helps :)
The switchboard in a Denver law office gets an average of 8.2 incoming phonecalls during the noon hour on Thursdays. Find the probability that more than 4 calls will be received during the noon hour, on some particular Thursday. Assume calls are independent of each other.
Answer:
The probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.
Step-by-step explanation:
The random variable X can be defined as the number of incoming phone calls during the noon hour on Thursdays.
The random variable X describes a finite number of occurrences of an event in a fixed time interval.
The random variable X follows a Poisson distribution with parameter λ = 8.2.
The probability mass function of X is:
[tex]P(X=x)=\frac{e^{-8.2}(8.2)^{x}}{x!};x=0,1,2,3...[/tex]
Compute the probability of more than 4 calls as follows:
[tex]P(X>4)=1-P(X\leq 4)[/tex]
[tex]=1-\sum\limits^{4}_{x=0}{\frac{e^{-8.2}(8.2)^{x}}{x!}}\\\\=1-[0.00027+0.00225+0.00923+0.02524+0.05174]\\\\=1-0.08873\\\\=0.91127\\\\\approx 0.9113[/tex]
Thus, the probability that more than 4 calls will be received during the noon hour, on some particular Thursday is 0.9113.
Write the equation of a line perpendicular to 6y-2x=-8 and passes through the point(-2,1) in slope-
intercept form
Answer:
y = -3x + 17/10
Step-by-step explanation:
First you want to move the 2x to the other side of the equal sign for the proper way of slope-intercept form. Which makes it 6y=2x-8.
You still want to make sure that y is by itself so you divide the whole equation by 6 which makes it y=1/3x-8/6.
We have to find the slope of the a perpendicular line now and to do so, you must take the slope of the given line and make it into the opposite reciprocal.
To do that you take 1/3 and reciprocate it, which makes it 3.
Then flip the sign to make it opposite. Like making a positive into a negative and a negative into a positive. Therefore the slope of the perpendicular line is -3.
Now we must make it past through point (-2,1). To do that you have to adjust the y-intercept. Because of that, the y-intercept is 1.7 or 17/10.
The equation of the slope is y=-3x+17/10
a 14 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long as the first piece find the length of the pieces
Answer:
the first is 2 inches the 2nd one 4 inches and the 3rd is 8 inches
Step-by-step explanation:
The length of the piece is 2, 4 and 8.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that a 14 inch board is to be cut into three pieces
Let first piece be x.
The second piece is twice as long as the first piece
Second piece is 2x
The third piece is 4 times as long as the first piece.
Third piece is 4x
x+2x+4x=14
7x=14
Divide both sides by 7
x=2
Hence, the length of the piece is 2, 4 and 8.
To learn more on Equation:
https://brainly.com/question/10413253
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You have been waiting for months. The latest version of your favorite video game comes out today. You have mowed lawns, done extra chores, and saved up gift money. The new game costs $49.99. You have exactly $50.00 saved. So you are good to go, right?
In 3 to 5 sentences explain if you have enough money to buy that game in Pennsylvania where sales tax is 6%. If you have enough money, will you have change? If you do not have enough money, how much more do you need?
if I had enough money, of course I will have change.
Miss Kent reminds her students that every two inches on the model represents 25 feet on the actual statue. Based on Martina's measurements what is the area in square feet of the tablet on the actual Statue of Liberty show your work
Answer:
78.125 ft²
Step-by-step explanation:
The dimension of the tablet is given as:
Length = 1 in
Width = ½ in
First,we need to determine the measurements in feet.
Using the scale measurement:
Scale: 2 in =25 ft
Divide both sides by 2
2 in/2 = 25 ft/2
1 in = 12.5 ft
So, Length = 12.5 ft
Divide the scale measurement by 4
2 in/4 = 25 ft/4
½ in = 6.25 ft
So,
Width = 6.25 ft
Area is calculated as:
Area = Length * Width
Area = 12.5 ft * 6.25 ft
Area = 75.125 ft²
helppo meeeee plz ty! explain plz!
Answer:
[tex]=256x^8y^{20}[/tex]
Step-by-step explanation:
We have the expression:
[tex](4x^2y^5)^4[/tex]
We can use the power of a product property:
[tex](ab)^x=a^xb^x[/tex]
This yields:
[tex]=(4)^4\cdot(x^2)^4\cdot(y^5)^4[/tex]
We can evaluate 4 to the fourth:
[tex]=256(x^2)^4\cdot(y^5)^4[/tex]
Now, we can use the power of a power property:
[tex](x^a)^b=x^{ab}[/tex]
So:
[tex]=256(x^{2(4)})(y^{5(4)})[/tex]
Multiply:
[tex]=256x^8y^{20}[/tex]
And we're done!
Answer:
256x^8 y^20
that's the answer I got when I simplified it
Simplify.
i68
help plz
the answer is 1 ;-; ;-; ;-; ;-;
Write the equation of a line with slope 3 and y-intercept −3.
PLS I NEED ASAP
Triangle ABC is similar to triangle DEF solve for r?
Answer:
send a picture too understand it
Step-by-step explanation:
we dont have enough information
PLEASE HELP WOULD BE APPRECIATED!!!
Mary is saving money for college expenses. She saves the same amount each month.
The table shows the amount of money Mary has saved after 4 and 7 months.
Answer: a, c, and d
Step-by-step explanation: hard to explain
hope this helped :)
Please help! Chapter test review tomorrow!!!!!
Answer:0D is the answer
Step-by-step explanation:
Will award brainiest if you answer correctly
Answer:
7 units because (6x-22)=(2×+6)
Which of the following led the church in the Byzantine empire ?
Answer:
Constantine
Step-by-step explanation:
In 330 A.D., Roman Emperor Constantine I chose Byzantium as the site of a “New Rome” with an eponymous capital city, Constantinople. Five years earlier, at the Council of Nicaea, Constantine had established Christianity — once an obscure Jewish sect — as Rome's official religion.
You may have polarized sunglasses that eliminate glare by polarizing the light. When light is polarized, all of the waves are traveling in parallel planes. Suppose vertically polarized light with intensity Io strikes a polarized filter with its axis at an angle of θ with the vertical. The intensity of the transmitted light It and θ are related by the equation Cosθ= √ Io/It. If θ, write It as a function of Io,
Answer:
lt = lo/cos²θStep-by-step explanation:
Given the intensity of the transmitted light It and θ are related by the equation Cosθ= √ Io/It, we are to write lt as a function of lo
Given the equation
Cosθ= √ Io/It
Let us make lt the subject of the formula;
square both sides of the equation
(Cosθ)²= (√ Io/It)²
cos²θ = lo/lt
cross multiply
ltcos²θ = lo
divide both sides by cos²θ
ltcos²θ/ cos²θ= lo/cos²θ
lt = lo/cos²θ
Hence the expression of lt as a function of lo is lt = lo/cos²θ
there are 8 teachers in in a school when a 35 year old teacher was transferred and another teacher join the average age was increased by 2 years how old is the new teacher
Answer:51
Step-by-step explanation:
He started by making mini sandwiches. If he has 4 friends coming over and he made 3
sandwiches for each one of them, how many sandwiches did he make?
1 point
Your answer
Answer: 12
Step-by-step explanation:
if 1 friend = 3 sandwiches, and you have 4 friends, you multiply the 3 by 4 and get 12
I’m doing a midterm and I’m really not doing too hot. can someone help?
What is the range of the relation shown ir the table
Answer:
The answer is C.
Step-by-step explanation:
The range means the values of y.
PROBLEM I: On Monday the temperature was 70° F. On Tuesday the temperature dropped 10°,
followed by a 5º decrease on Wednesday. On Thursday, the temperature increased 7 degrees followed by a
decrease of 2 degrees on Friday. What was the final temperature on Friday?
Number Sentence:
Solution:
Answer:
Answer 60 degrees
Step-by-step explanation:
70-10 60-5 55+7 62-2 60
The accompanying data represent the actual amount (in mL) poured into a short, wide glass for individuals asked to pour 44.3 mL (1.5 ounces).
89.3 68.6 32.7 37.3 39.7 46.7 66.1 79.4 66.4 52.1 47.3
64.4 53.7 63.4 46.2 63.0 92.1 57.6
A) Calculate the values of the mean and standard deviation (in mL).
mean 59.222 mL
standard deviation 16.725 mL
Interpret the values of the mean and standard deviation.
A typical amount poured into a short, wide glass is 19.7 mL. A typical deviation from the mean amount poured is_____mL.
B) The mean amount poured into a tall, slender glass for individuals asked to pour 44.3 mL (1.5 ounces) was 51.283 mL. What do the values of the means for the two types of glasses suggest about the shape of glasses used?
The mean amount for a short, wide glass is greater than the mean amount for a tall, slender glass. This suggests that bartenders tend to pour more into a short, wide glass compared to a tall, slender glass.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data below :
x : 89.3 68.6 32.7 37.3 39.7 46.7 66.1 79.4 66.4 52.1 47.3 64.4 53.7 63.4 46.2 63.0 92.1 57.6
Mean(m) = ΣX / n
ΣX = 1066 ; n = number of observations = 18
Mean(m) = 1066 / 18
Mean = 59.22
Standard deviation (σ) :
Using the online standard deviation calculator :
σ = √(Σ(x - m)²/n-1)
σ = √264.198395
σ = 16.72
The mean amount poured into a glass for the 18 samples is 59.22 while the variation in the data samples from the mean value is 16.72.
typical amount poured into a short, wide glass is 19.7 mL. A typical deviation from the mean amount poured is_____mL.
(59.22 - 19.7) mL = 39.52mL
Mean amount poured into a tall slender glass = 51.283
Mean (short wide glass) = 59.22mL
Mean (tall slender glass) = 51.283mL
Short wide glass > tall slender glass
solve for x 4x-7=2(x+3)+9 i need explanation
Answer:
x=11 :)
Step-by-step explanation:
Please help with this!
9514 1404 393
Answer:
-11
Step-by-step explanation:
DeYanna's cards are ...
black: 2, 4, for a total value of 2+4 = 6
red: 7, 10, for a total value of -(7+10) = -17
Then the total value of DeYanna's cards is ...
6-17 = -11
Mari swims every 4 days and runs every 6 days. In how many days will she both swim and run on the same day?
Answer:
12
Step-by-step explanation:
We find the LCM which is simply 12.
You multiply the dimensions of Triangle A by 3 to create Triangle B. Select the conclusion(s)
that you can make about the similar triangles.
The ratio of the perimeters (Triangle A to
Triangle B) is :
The ratio of the perimeters (Triangle B to
Triangle A) is 1 to 3.
The ratio of the areas (Triangle B to Triangle A)
is 9:1.
The ratio of the areas (Triangle A to Triangle B)
is 1 to 6.
There is not enough information to make any
of the conclusions above.
Answer:There is not enough information to make any of the conclusions above
Step-by-step explanation:
find the GCF of 28 and 30
Answer:
4
Step-by-step explanation:
The biggest number that you can divide 28 and 30 is 4.
Answer:
Greatest common factor (GCF) of 28 and 30 is 2.
Step-by-step explanation:
You find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28 and 30.
A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not allow a contractor to be offered more than one of these jobs. If this contractor is awarded any of these jobs, the profits earned from these contracts are $10 million from the office building, $5 million from the theater, and $2 million from the parking garage. His profit is zero if he gets no contract. The contractor estimates that the probabilities of getting the office building contract, the theater contract, the parking garage contract, or nothing are .15, .30, .45, and .10, respectively.
1. Write the probability distribution of x .
2. Find the mean and standard deviation of x .
Answer:
The probability distribution of x is
Profits in millions (x) Probability of getting contract (P(x))
$10 0.15
$ 5 0.30
$ 2 0.45
$ 0 0.10
The mean is [tex]E(X) = 3.9 millions [/tex]
The standard deviation is [tex]s = 3.01 \ millons [/tex]
Step-by-step explanation:
Generally the probability distribution of x is
Profits in millions (x) Probability of getting contract (P(x))
$10 0.15
$ 5 0.30
$ 2 0.45
$ 0 0.10
Generally the mean is mathematically represented as
[tex]E(X) = x * p(x)[/tex]
=> [tex]E(X) = [10 * 0.15 ] + [5 *0.30 ] + [2 * 0.45 ] + [0 * 0.10] [/tex]
=> [tex]E(X) = 3.9 millions [/tex]
Now
[tex] E(X^2) = x^2 * p(x)[/tex]
=> [tex] E(X^2) = (10 ^2 * 0.15) + (5 ^2 * 0.30) +(2 ^2 * 0.45) + (0 * 0.10)[/tex]
=> [tex] E(X^2) = 24.3 [/tex]
Gnerally the variance is mathematically represented as
[tex]V(X) = E(X^2) - [E(X)]^2[/tex]
=> [tex]V(X) = 24.3 - 3.9^2[/tex]
=> [tex]V(X) = 9.09 [/tex]
Gnerally the standard deviation is mathematically represented as
[tex]s = \sqrt{V(X)}[/tex]
=> [tex]s = \sqrt{9.09[/tex]
=> [tex]s = 3.01 [/tex]
find the surface area and volume of a rectangular solid with length 10, width 7, height 12
surface area______square inches
volume_____cubic inches
Answer:
Surface area is =548
Volume = 840 in³
Step-by-step explanation:
l × w, l × w, w × h, w × h, l × h, l × h
70 + 70 + 84 + 84 + 120 + 120 = 548
l × w × h = 840
9. Verizon offers a cell phone plan that includes a flat fee of $85 per month for the first phone and $7.50 a
month for each additional phone. If Maria's phone bill was $115, how many extra phone lines does she
have?
Answer:
4 phones
Step-by-step explanation:
Answer:15
Step-by-step explanation:
6x-2y=24 what's the slope and Y intercept?
Algebraic expression of 4x
May someone help me please
Answer:
x=34
Step-by-step explanation:
Use pythaogrean therom to find the answer. a^2+b^2=c^2 With that in mind, the answer 16^2+30^2=1156. To get the exact answer, you'll have to square root the 1156 to get 34. If you want to check you answer, take the 34 and square it then subtract it by one of the numbers it gives you.