Answer:
Assuming that the question is
[tex]f(x)=\frac{3}{5x^5}[/tex]
The asnwer would be
Domain: (- ∞,0) U (0, ∞)
Range: ( - ∞,0) U (0, ∞)
Step-by-step explanation:
The domain and range of the function are:
Domain: (- ∞,0) U (0, ∞)
Range: ( - ∞,0) U (0, ∞)
Domain and Range of function
The domain are the input values for which a function exist while the range are output value for which the function exist.
Given the function:
g(x) = 35x^5
The function can exist on all real values since we will have a correspoding value of y for every value of x.
Hence the domain and range of the function are:
Domain: (- ∞,0) U (0, ∞)
Range: ( - ∞,0) U (0, ∞)
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In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)
Answer:
0.03177
Step-by-step explanation:
Prob (Bld grp) ~ Bin (N, P)
N = 15, P = Prob of success ie 'O' blood type = 0.45
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
a. The probability that exactly three have blood type O is 0.03177
Calculation of the probability:Since
Prob (Bld grp) ~ Bin (N, P)
So
N = 15,
P = Prob of success ie 'O' blood type = 0.45
Now
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
So,
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
hence, The probability that exactly three have blood type O is 0.03177
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help please!!
For the following situation, identify the explanatory and response variable. Then discuss what reservations (think cautions) you might have about the results of the experiment. Asking “What if…” type questions may help.
Do the high, centered brake lights (which have been required on all U.S. cars since 1986) really reduce the frequency of rear-end collisions? Randomized comparative experiments with fleets of rental and business cars, done before the lights were required, showed that the third brake light reduced rear-end collisions by as much as 50%. After the lights were required the drop was only 5%.
The experiment is messed up. Business and rental drivers are usually much more careful in their driving patterns because the car isn't theirs. They are usually adults, experienced drivers who don't put themselves into risky driving situations. = Speeding, cutting off others etc.. It also didn't tell how much the cars were driven. There may have been a down turn in the economy and thus less business driving and same with the rentals. If they were used less after the installation then the study wasn't really valid. What was the price of gas before and after the instillation. Who did the study? Did the previous testers have any reason to skew the study? Did they own stock in the third light business? Was it the same people who did the study before who did the study afterwords? What was the average age of the drivers before and after? The study group may have aged and calmed down a bit more? What were the technology changes that occurred about the same time? Anti skid brakes, better material and tread designs for the tires, what about the design of the gages and their lighting. How about the window styles and size..larger windows mean better view and potentially less accidents. What were the safety aspects of the cars before compared to the cars after, were they the same makes and Models or did the rental and business learn that certain cars were safer than others and move to the safer Models? so many variables to consider but did the tester consider them all-probably not. Random studies study only a certain percentage of the total. Who's to say the second random study didn't get less experienced drivers to study? All good what ifs'.
1. Michael deposited $500 in his bank account that pays 4% semi-annual compounded interest. If he does not touch the money for 5 years, how much money will be in the account?
Answer:
$609.50
Step-by-step explanation:
A = P(1 + r/n)^nt
= 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)
= 500(1.02)¹⁰
= 500(1.218994)
= 609.497
Round answer up to $609.50
A large hamburger (e.g., Whopper®) sandwich contains 628 kcal and 36 grams of fat. Approximately what percentage of the total energy is contributed by fat?
Answer:
Step-by-step explanation:
Total energy of the sandwich = 628kcal
Mass of fat contained = 36grams
Convert gram to kcal
1gram = 9kcal
36 grams = x
x = 36×9
x = 324kcal
Hence the fat contains 324kcal
%fat contained = fat(in kcal)/total calorie × 100%
%fat contained = 324/628 × 100%
%fat contained = 1/2 × 100%
%fat contained = 50%
Hence approximately 50% of the total energy is contributed by fat.
Chloe runs the after-school cookery club.
The group will be baking 36 scones using the following recipe.
Recipe for 12 scones:
• 250 g self-raising flour
• 60 g butter
• 30 g caster sugar
• 175 ml milk
How much milk will be used?
ml
Answer:
525 ml
Step-by-step explanation:
12 : 175 ml
36 : x
= 175 × 36
= 6300
x = 6300/12
= 525 ml
The amount of milk that is used while baking 36 scones will be 525 mL.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Chloe runs the after-school cookery club. The group will be baking 36 scones using the following recipe.
Recipe for 12 scones:
250 g self-raising flour60 g butter30 g caster sugar175 mL milkThe amount of milk that is used while baking 36 scones will be given as,
⇒ 175 x 36 / 12
Simplify the expression, then we have
⇒ 175 x 36 / 12
⇒ 175 x 3
⇒ 525 mL
The amount of milk that is used while baking 36 scones will be 525 mL.
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1 3 Divide - 2 +7=Explain each step you used to find the quotient. 9 5 What is the first step in finding this quotient? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a fraction. Use a comma to separate answers as needed.) O A. Multiply the whole parts of the mixed numbers. The product is OB. Multiply the fraction parts of the mixed numbers. The product is OC. Convert the mixed numbers to fractions. The fractions are OD. Find the reciprocal of the dividend. The reciprocal is
Answer: 15 an ummm fine
Step-by-step explanation:
Answer:
15 is the correct answer
An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air
9514 1404 393
Answer:
170 mph
Step-by-step explanation:
The speed of the airplane can be represented by s. The travel time will be ...
time = distance/speed
925/(s +15) = 775/(s -15)
925(s -15) = 775(s +15)
150s = 25500 . . . . . . . . . add 13875-775s
s = 170
The rate of the plane in still air is 170 mph.
five times the sum of a number and four
here is the Answer:
5(x+4)
Hope it helps
What is the value of sin-1(cos(2pi/3))?
Answer:
-pi/6
Step-by-step explanation:
Answer:
-pi/6 c
Step-by-step explanation:
List all subsets of the given set.
B = {Lennon, McCartney}
O {}, {Lennon}, {McCartney}
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
{}, {McCartney}, {Lennon, McCartney}
{ }, {Lennon}, {Lennon, McCartney}
{Lennon}, {McCartney}, {Lennon, McCartney}
please help!
Answer:
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
Step-by-step explanation:
Both the empty set and the total set are subsets of the given set.
Hence there are 4 subsets.
Answer:
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
Step-by-step explanation:
1. Emma’s average in math increased from an 80 to an 84. By what percentage did her average increase?
Answer:
82
Step-by-step explanation:
The approximate z-score that corresponds to a right tail area of 0.45 is?
Answer: 0.1257
Step-by-step explanation:
Let [tex]z_0[/tex] be the z-score that corresponds to a right tail area of 0.45.
We need to find [tex]z_0[/tex] such that [tex]P(z>z_0)=0.45[/tex]
From the z-score table, z-value corresponds for area of 0.45 is 0.1257.
That means [tex]z_0=0.1257[/tex]
Hence, the approximate z-score that corresponds to a right tail area of 0.45 is 0.1257 .
what is 37737332732.83838-388733883.6 equal?
Answer:
4838388.34?
Step-by-step explanation:
Typically, your car gets 32 mpg on the highway, how many gallons of gas did you use if you
traveled 1760 miles?
Answer:
13 gallons
Step-by-step explanation:
15. To receive a B in his English class, Nicolas must have an average score of at least 84 on five
tests. He scored 90,91, 79, and 81 on his first four tests. What is the score range he can receive
on his last test and still receive a B in the class?
Answer:
(90+91+79+81+x)/5=84and 341+x=84*5and341+x=420and x=420-341 finally x=79
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
znznzmzspmzlsldfpcf
The company is interested in which confidence intervals associated with 1 (very satisfied) contain the proportion 0.25, or 25%. Determine which confidence levels satisfy this. (Select all that apply.)
Hi, you've asked an incomplete question. However, I provided a brief explanation about confidence interval and confidence level.
Explanation:
The term confidence interval and confidence level are not the same but they are related. Confidence interval refers to a range of values that makes up part of the statistic's mean data which contains an unknown population parameter.
However, the Confidence level is the level of certainty that the confidence interval would contain the true population parameter if a random sample is drawn.
Line t has a slope of 3/5 line u is perpendicular to t what is the slope of line u
Answer:
[tex]\frac{5}{3}[/tex] is the slope of the line
Step-by-step explanation:
When two lines are perpendicular, their slopes are inverse.
[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).
Hope this helps!
Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of
adiacent angles formed a straight line. What can he conclude from this observation? Select one
that applies.
Answer:
The two angles are supplementary
Step-by-step explanation:
Not sure if this is an option, but it would make sense with the question
The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.
The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.
The diagram is given below.
More about the angled link is given below.
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I need help with this question
Answer:
1/3
Step-by-step explanation:
i hope this helps you! :)
Answer:
1/3
Step-by-step explanation:
When you are subtracting frations with the same denominator, you would only subtract the numerator and keep the denominator the same.
PLZ HURRY IT'S URGENT!!!
What is the slope of the line?
y=3
options:
0
1
3
undefined
Answer:
0
There is no x or number with an x (example: y= 2x+3, the 2 would be the slope)
Answer:
0
Step-by-step explanation:
4.321 × 12.34 AND IF YOU ANSWER YOU GET 10 POINTS JUST PLS HELP
Answer:
53.32114
Step-by-step explanation:
does the surface in contact with ground affect the going motion of the car ?why?
Answer:
Yes, it does. The ground is bumpy and it creates friction acting against the car's motion.
(you can include my example too depending on what your teacher is looking for)
Step-by-step explanation:
This is a fun one! Think about a ball rolling on a smooth surface, now on a bumpy sandpapery one. Which one do you think is faster? The smooth surface! This is because of this friction of the sandpaper which slows down the ball. On the other hand, the smooth one has very little friction. The same applies to cars.
PLEASE HELP!!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls. Assign variables to the unknowns.
help ASAP. Which relation is a function?
Answer:
Answer choice on the top right.
Step-by-step explanation:
A function of points can not share the same x value.
What are the domain and range of f (x)= -27
Answer:
Domain: (-∞,∞)
Range: {−27}
can someone please help me
Answer:
y = -5/3x -7
Step-by-step explanation:
If lines are parallel they have the same slope m = -5/3. Just need to figure out the new y-intercept going through the point (-9, 8).
y = mx + b
8 = -5/3(-9) + b
8 = 15 + b
b = -7
Now use m and b to form new equation of parallel line.
y = mx + b
y = -5/3x -7
need help again!!! please and thank you!
Answer:
C) 4
Step-by-step explanation:
Just follow the same steps as the last one.
32x+2 = 33x-2
2+2=33x-32x
4=1x
X=4
Using exponential maths what is 2x = 1/128
Define the following terms: