Find the radius r of C.
Answer:
10
Step-by-step explanation:
By Pythagoras' Theorem:
16 + r = √(24^2 + r^2)
(16 + r)^2 = 24^2 + r^2
256 + 32r + r^2 = 576 + r^2
32r = 320
r = 10
Solve the following expression when
C= 8
4c = (2 • 2)
Answer:
the answer is 8
Step-by-step explanation:
Using n = 3.14, what is the circumference of a circle with a radius of 20 units?
Round your answer to the nearest hundredth.
Answer:
125.6
Step-by-step explanation:
C=2pir
C=2(3.14)(20)=125.6
A bird flies at an average speed of 62 miles an hour.
At this rate, how many miles will the bird fly in 7 hours?
Answer:
434 miles
Step-by-step explanation:
1hr = 62 miles
7hr = 434 miles
62 times 7 = 434
Factorize the algebraic expression:
10y²+13y-3
Arturo's family hires 3 painters. Each painter charges $50 per hour. Arturo's family represents the charge for x hours of painting in different ways. Check all that apply to this situation
A. 150x
B. 50x+50x+50x
C. 50x
D. 150
please don’t guess random answers, thank you. 20 points for answering!
Answer:
D
Step-by-step explanation:
So if Arturo's family hires 3 painters for $50 an hour each, how much do they spend?
X= Charge for number of number of hours
Now let's say that each of the painters worked only one hour each.
That would be take a long time to add up so you multiply.
$50 x 3
In other words it's $50 + $50 + $50.
$50 x 3 = $150
Now X stands for the amount of money paid to each artist. In this case, X= $50. So we already figured out X. X is $50. It is a mistake to add the X at the end of the answer because X is already there in a numerical form. So the answer is D, $150.
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Explanation:
One painter charges $50 an hour. If they work for x hours, then they charge a total of 50x dollars.
For instance, let's say the painter works for x = 7 hours. This means s/he charges 50*x = 50*7 = 350 dollars overall.
That's for one painter. If we involve 3 painters, then the total bill comes to 50x+50x+50x = 150x dollars
We could also say 3*50x = 150x, since 3*(cost of one painter) = total cost for three painters.
This is why choices A and B are the two answers.
Choice C would be the answer if you only hired one painter. But instead, you hired three of them, so we can rule out choice C.
Choice D only works if x = 1 is plugged into 150x to get 150*x = 150*1 = 150. However, you don't want to limit yourself to this x value only. It's better to stick with 150x instead to be more general. That way you can find the cost for say x = 2 hours which is 150*x = 150*2 = 300 dollars. I'll let you try other x values.
Help PLEASE!!!! Need help due Today!!!
Shelby has a $5 gift card to an online music store. She downloads songs that cost $1.20 each. What equation models the total amount of money Shelby spends y if she downloads x songs?
y = 5x + 1.20
y = 5x + 1.20
y = -5x + 1.20
y = -5x + 1.20
y = 1.20x - 5
y = 1.20x - 5
y = 1.20x + 5
The State Department of Weights and Measures is responsible for making sure that commercial weighing and measuring devices, such as scales, are accurate so customers and businesses are not cheated. Periodically, employees of the department go to businesses and test their scales. For example, a dairy bottles milk in 1-gallon containers. Suppose that if the filling process is working correctly, the mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon. The department's test process requires that they select a random sample of n = 9 containers. If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?
A. 0.90
B. Approximately 0.3159
C. About 0.1841
D. Approximately 0.382
Answer:
B. Approximately 0.3159
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon.
This means that [tex]\mu = 1, \sigma = 0.1[/tex]
Sample of 9:
This means that [tex]n = 9, s = \frac{0.1}{\sqrt{9}}[/tex]
If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?
This is the pvalue of Z when X = 0.97. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.97 - 1}{\frac{0.1}{\sqrt{9}}}[/tex]
[tex]Z = -0.9[/tex]
[tex]Z = -0.9[/tex] has a pvalue of 0.1841.
The correct answer is given by option B.
Answer:
Option C
Step-by-step explanation:
Given
Probability of Mean value less than 0.97
= Mean value -1/(0.1/sqrt (9))
Substituting the given values, we get -
Probability of Mean value less than 0.97
= 0.97 -1/(0.1/sqrt (9))
= 0.97-1/(0.1/3)
= 0.1841
Hence, option C is correct
Karen has 2 potatoes and she and she smashed one on your head how many does she have now
A manatee swims 1/4 mile in 3 minutes. What is its swimming speed in miles per hour?
NO LINKS PLZ
I WILL MARK BRAINLIEST
Step-by-step explanation:
I believe that the manatee can swim 5 miles per hour
Find The Value Of X.
Answer:
Tan 30 =, 14/x
Then x= 14/tan 30
So x=14 root 3
In AVWX, x = 5.7 inches, v = 4.5 inches and ZW=114°. Find the area of AVWX, to the
nearest 10th of a square inch.
Answer:
144 i think
Step-by-step explanation:
There are 24 lightbulbs in a package. Let n represent the number of lightbulbs in p packages.
NO LINKS
The required equation model for the condition of the number of lightbulbs in p packages is given as n = 24p.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
There are 24 lightbulbs in a package. Let n represent the number of lightbulbs in p packages.
So according to the question,
n = 24p
Thus, the required equation model the given equation is given as n = 24p.
Learn more about models here:
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Which question is statistical?
A. What number of feet is equivalent to three miles?
B. How many miles did your family drive last week?
C. How many miles are between the library and the post office?
D. How many miles does each member of the biking club ride each week?
Simplify the expression. Write your answer as a power.
45600 cm to mL *
how do you convert that
Answer:
45600 cm = 45600 mL
Step-by-step explanation:
1 milliliter = 1 cubic centimeter
Help me and show your work.
Answer:
Infinite solutions
Step-by-step explanation:
Equation 1:
4x-6y=4
3(4x-6y=4)
12x-18y=12
Equation 2
(12x-18y=12)/3
4x-6y=4
They are the same equation, therefore, there are infinite solutions
HELPPPPP!!!!!!!!! PLS ! HURRY
Answer:
-2 and 4
Step-by-step explanation:
The zeros of a function are when the function equals 0.
To make (x+2)(x-4) be zero, either the x+2 term or the x-4 term need to be equal to zero. Because any number multiplied by 0 is 0.
So, set x+2=0 solve for x=-2
Set x-4=0 solve for x=4
Ray digs a garden plot that is 30 feet wide and 20 feet long. Bell takes a garden plot that is half as wide, but has the same length as Ray’s plot. How do the dimensions of an area of the two garden plots compare?
Find the distance between the two points in simplest radical form (1,-3) and (-1,-8)
Answer:
Length = 5.3852
Answer:
√29
Step-by-step explanation:
The change in x from one point to the other is 2; that in y is 5.
Use the Pythagorean Theorem to find the length of the hypotenuse (which is the desired distance):
d = √(2² + 5²) = √29
Julie has 2 cherry lollipops, 4 lime lollipops, and 3 grape lollipops in a bag. She is going to select one lollipop, replace the lollipop in the bag, and then select a second one. What is the probability that Julie will select a cherry lollipop and then a lollipop other than lime?
Answer:
the answer is simple B 10/81
Step-by-step explanation:
Answer:
The Guy/Girl Above me was correct! its B.
Step-by-step explanation:
PLEASE HELP ASAP!!
Complete the table for the function below.
y = x^2
[tex]y = {x}^{2} [/tex]
Substitute the values of x to find y. Example:
[tex]when \: x = - 1 \\ y = { - 1}^{2} \\ y = 1 [/tex]
So do that for the other values of x.
Please help! I will give Brainliest!
The diagram shows rectangle ABCD, with diagnal BD. What is the perimeter of rectangle ABCS, to the nearest tenth?
Answer:
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
Step-by-step explanation:
Given:
Hypotenuse BD = 12 unit
Angle θ = 30°
Find:
Perimeter of rectangle ABCD
Computation:
Using trigonometry function
Sin θ = Perpendicular / Hypotenuse
Sin 30 = CD / BD
0.5 = CD / 12
Length of CD = 6 unit
Cos θ = Base / Hypotenuse
Sin 30 = BC / BD
0.866 = BC / 12
Length of BC = 10.4 unit
Perimeter of rectangle ABCD = 2[Length + Width]
Perimeter of rectangle ABCD = 2[6 + 10.4]
Perimeter of rectangle ABCD = 2[16.4]
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
The perimeter of rectangle ABCD = 32.8 unit
We have given that,Hypotenuse BD = 12 unit
Angle θ = 30°
To find the perimeter of rectangle ABCD
Using trigonometry function
What is the formula for the sin ratio?Sin θ = Perpendicular / Hypotenuse
Sin 30 = CD / BD
0.5 = CD / 12
Length of CD = 6 unit
What is the ratio of cos theta?Cos θ = adjucent side / Hypotenuse
Sin 30 = BC / BD
0.866 = BC / 12
Length of BC = 10.4 unit
Formula for the perimeter of rectangle ABCD = 2(Length + Width)
Perimeter of rectangle ABCD = 2(6 + 10.4)
Perimeter of rectangle ABCD = 2(16.4)
Therefore,the perimeter of rectangle ABCD = 32.8 unit
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WHAT IS THE MEASURE OF ANGLE T NEED HELP
Solve the product 3.242= 2.12
Answer:
It is false
Step-by-step explanation:
Answer:
There is no product but the equation is false
Step-by-step explanation:
If you meant 3.242 x 2.12 it is = 6.87304
Hey guys please help me ASAP my assignment is past due date and I am still stuck on this please tell me the answer "June is making cookies. He makes 2 batches on Monday and 4 batches on Tuesday. He uses 3/4 cup of flour in each batch. How many flour does June use? Explain" please help me before they give the grades out
Answer:
If he is making 6 batches, multiply 3/4 by 6 to find out how much flour he uses.
Step-by-step explanation:
3/4 x 6 = 18/4 = 4 1/2 cups of flour.
James is having a party. He has worked out how much food he needs to buy per person and goes to the shop to buy the things he needs.
Per person:
-3 slices of pizza
-25g of crisps
Crisps come in 300g packets
8 Slices per pizza
James is expecting 15 people to be there including himself
How many pizzas and packets of crisps does he need to buy?
Step-by-step explanation:
Answer my question about the photo
Angle a and angle b are supplemetary angles. If m angle a = (5x+25) and m angle b = (x+17) then find the measure of angle a
Answer:
The measure of angle a is of 140º.
Step-by-step explanation:
Supplementary angles:
If two angles are supplementary, their measures add to 180º.
Angle a and angle b are supplemetary angles.
This means that
<a + <b = 180º.
m angle a = (5x+25) and m angle b = (x+17)
So
[tex]5x + 25 + x + 17 = 180[/tex]
[tex]6x + 42 = 180[/tex]
[tex]6x = 138[/tex]
[tex]x = \frac{138}{6}[/tex]
[tex]x = 23[/tex]
Measure of angle a:
[tex]<a = 5x + 25 = 5(23) + 25 = 140[/tex]
The measure of angle a is of 140º.