The standard deviation of the possible outcomes is to be considered as the 10.25.
Calculation of the standard deviation:Since there is a binomial trial has a probability of success of 0.3, and 500 trials are performed.
So here
q = 1 - P
= 1 - 0.3
=0.7
Now the standard devation be like
[tex]= \sqrt{500\times 0.3 \times 0.7}[/tex]
= 10.25
hence, The standard deviation of the possible outcomes is to be considered as the 10.25.
Learn more about standard deviation here: https://brainly.com/question/15699543
Suppose that Bob can decide to go to work by one of the three modes of transportation; car, bus, or train. Because of high traffic, if he decides to go by car, there is a 50% chance he will be late. If he goes by bus there is a 20% chance he will be late. If he goes by train there is only 1% chance that he will be late. Suppose he takes the car 10% of the time, the bus 1% of the time, and the train 89% of the time, What is the probability that Bob will be late getting to work?
The probability is (0.10 * 0.50 + 0.01 * 0.20 + 0.89 * 0.01) * 100% = 6.09%.
Given the line below, state the slope of the PARALLEL line. y=-8x + 10 what is the answer need help
Step-by-step explanation:
the slope if the equation will be -8
What is the GCF (greatest common factor of 8x and 8?
Answer:
8 :)
Step-by-step explanation:
Not troll! Please help, will give brainliest! Explain your answer and how you got it.
Evaluate the expression 34 + 4/9w and w = - 1/2
Answer:
33 7/9 or 304/9
Step-by-step
Answer:
The person above is right give them brainliest please!
Step-by-step explanation:
pls help, I've been stuck on this for a week
Using the Pythagorean identity, sin^2C + cos^2C = 1, solve for sinC.
Answer:
[tex]\sin(C)=\pm\sqrt{1-\cos^2(C)}[/tex]
Step-by-step explanation:
Given the Pythagorean Identity:
[tex]\sin^2(C)+\cos^2(C)=1\\[/tex]
We want to solve for sin(C).
First, we will subtract cos²(C) from both sides:
[tex]\sin^2(C)=1-\cos^2(C)[/tex]
Next, we will take the square root of both sides. Since we are taking an even-root, we will need to add plus/minus. Hence:
[tex]\sin(C)=\pm\sqrt{1-\cos^2(C)}[/tex]
if you times a 3 digit number by a 2 digit number what is the highest number you can get
Answer:
a 5 digit number
Step-by-step explanation:
Pick the largest three digit number (999) and the largest two digit number (99) and multiply them to get 999*99 = 98901
The result is a five digit number.
Answer: 5 digit number
Suppose Carson worked as a babysitter for85 hours one week. What is the minimum number of full hours he would need to work at his fathers business to earn at least $96 that week?
Answer:
Answer: The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes. Happy to help!
Step-by-step explanation:
A) Findi
Consider the curve x²y + y2x = 6
dy
in terms of x and y
B) Write the equation for the tangent line where x = 2 and y = 1.
Answer:
Part A)
[tex]\displaystyle \frac{dy}{dx}=-\frac{2xy+y^2}{x^2+2xy}[/tex]
Part B)
[tex]\displaystyle y=-\frac{5}{8}x+\frac{9}{4}[/tex]
Step-by-step explanation:
We have the equation:
[tex]\displaystyle x^2y+y^2x=6[/tex]
Part A)
We want to find the derivative of our function, dy/dx.
So, we will take the derivative of both sides with respect to x:
[tex]\displaystyle \frac{d}{dx}\Big[x^2y+y^2x\Big]=\frac{d}{dx}\big[6\big][/tex]
The derivative of a constant is 0. We can expand the left:
[tex]\displaystyle \frac{d}{dx}\Big[x^2y\Big]+\frac{d}{dx}\Big[y^2x\Big]=0[/tex]
Differentiate using the product rule:
[tex]\displaystyle \Big(\frac{d}{dx}\big[x^2\big]y+x^2\frac{d}{dx}\big[y\big]\Big)+\Big(\frac{d}{dx}\big[y^2\big]x+y^2\frac{d}{dx}\big[x\big]\Big)=0[/tex]
Implicitly differentiate:
[tex]\displaystyle (2xy+x^2\frac{dy}{dx})+(2y\frac{dy}{dx}x+y^2)=0[/tex]
Rearrange:
[tex]\displaystyle \Big(x^2\frac{dy}{dx}+2xy\frac{dy}{dx}\Big)+(2xy+y^2)=0[/tex]
Isolate the dy/dx:
[tex]\displaystyle \frac{dy}{dx}(x^2+2xy)=-(2xy+y^2)[/tex]
Hence, our derivative is:
[tex]\displaystyle \frac{dy}{dx}=-\frac{2xy+y^2}{x^2+2xy}[/tex]
Part B)
We want to find the equation of the tangent line at (2, 1).
So, let's find the slope of the tangent line using the derivative. Substitute:
[tex]\displaystyle \frac{dy}{dx}_{(2,1)}=-\frac{2(2)(1)+(1)^2}{(2)^2+2(2)(1)}[/tex]
Evaluate:
[tex]\displaystyle \frac{dy}{dx}_{(2,1)}=-\frac{4+1}{4+4}=-\frac{5}{8}[/tex]
Then by the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Yields:
[tex]\displaystyle y-1=-\frac{5}{8}(x-2)[/tex]
Distribute:
[tex]\displaystyle y-1=-\frac{5}{8}x+\frac{5}{4}[/tex]
Hence, our equation is:
[tex]\displaystyle y=-\frac{5}{8}x+\frac{9}{4}[/tex]
skateboard is priced for $38. They are having a sale for 20% off. how much is the discount and what is the selling price
Answer:
18$
Step-by-step explanation:
the height of an object after t seconds is given by f(t)=-5t^2+20t (a) find the height of the object after 2 seconds, and include the correct units with your answer. (b) find the average (vertical) velocity of the object on the time interval [0,2]. show your work, include the correct units, and. circle your final answer. (c) find the instantaneous velocity at t=2
Answer:
t=20 4=5 =6 =8 =9 10
Step-by-step explanation:
And that is iy
I WILL MARK BRAINLIEST IN 5 MINUTES!
solve this and explain
Answer:
no, it's not.
Step-by-step explanation:
300- 284 = 16
284 - 236 = 48
236 - 156 = 80
156 - 44 = 112
for every one the top line goes up, the bottom line changes too, but it's not at a constant rate. it's not constant, therefore it cannot be linear.
the rate of change formula (or slope formula, they're the same thing) is :
y2- y1/ x2 -x1 and to solve it you plug in the points. x is the same a t and y is h
284-300/ 1-0
-16 /1
-16 (this is the rate of change between the first two points)
236- 284/ 2-1
-48/ 1
-48 (rate of change between the second and third points)
since the rate of change isn't constant, it's not possible for it to be a linear relationship.
Answer:
I D K
Step-by-step explanation:
my brains not working right now
What is the value of the expression?
-16+ 12
-28
O _4
4
28
Answer:
-4
Step-by-step explanation:
if you switch it you get 12-16 and you have to get a negative so 16-12 is 4 so switch it to a nrgative to get -4
3
1
The temperature fell from 0°F to 6 3/5 F below 0f in 2 1/5 hours. What was the temperature change per hour?
Answer:
The rate is -3°F per hour.
Step-by-step explanation:
The rate of change of the temperature per hour, will be equal to the quotient between the total change in temperature and the time it took for the change.
We know that the initial temperature is 0°F
The final temperature is -(6 + 3/5)°F
Then the change in the temperature will be:
Final temperature - initial temperature = -(6 + 3/5)°F - 0°F = -(6 + 3/5)°F
We know that this change took a total of (2 + 1/5) hours, then we can conclude that the rate will be:
Rate = -(6 + 3/5)°F/(2 + 1/5) hs = -(30/5 + 3/5)°F/(10/5 + 1/5) hs
= -(33/5)°F/(11/5)hs = -(33/11) °F/hs = -3 °F/hs
This means that the rate of change is -3°F per hour, so the temperature decreases 3 °F for each hour that passes.
PLEASE HELP I GOT 5 MINUTES!!!
Put each equation in slope-intercept form (y = mx + b)
y = 2(x− 3) + 1
Answer:
y = 2x - 5
Step-by-step explanation:
[tex]y = 2(x− 3) + 1 \\ \\ y = 2x - 6 + 1 \\ \\ y = 2x - 5 \\ [/tex]
question in the image
Answer:
thats not a question
Step-by-step explanation:
A Hummer gets 300 miles on 20 gallons of gas, how many miles can it be driven on 50 gallons of gas?
Answer:
750 miles
Step-by-step explanation:
Step one:
Given data
we are told that the hummer gets to 300miles on 20 gallons of gas
Required
The distance that the Hummer can go on 50 gallons of gas
Step two:
if 20 gallons gets to 300miles
the 50 gallons will get to x miles
cross multiply we have
[tex]x= 50*300/20\\\\x=15000/20\\\\x=750 miles[/tex]
The number
5/7
can be best described as a(n)
mixed number
improper fraction
O proper fraction
can someone help me plss! it would mean a lot! happy holidays too!
Answer:
69 feet
Step-by-step explanation:
Now go ace that test!
Answer: 69
Step-by-step explanation:
283 rounds to nearest tens place
Answer: 280
Step-by-step explanation:
Remember the rounding rule -
If it is 5 or more, you round it up, if it is 4 or less, you round it down.
283 rounded to the nearest ten is 280.
For the statement below, write the claim as a mathematical statement. Use proportions to state the null and alternative hypotheses, and identify which represents the claim. According to a recent survey, 73% of college students did not use student loans to pay for college. Let p be the proportion of college students who did not use student loans to pay for college. What is the claim as a mathematical statement? Determine the null and alternative hypothesis. Identify whether the null or alternative hypotheses is the claim.
Answer:
Null Hypothesis : P = 0.73
Alternative Hypothesis : P≠ 0.73
Step-by-step explanation:
Explanation:-
According to a recent survey, 73% of college students did not use student loans to pay for college
Let p be the proportion of college students who did not use student loans to pay for college
Population proportion P = 73% or 0.73
Null Hypothesis : P = 0.73
Alternative Hypothesis : P≠ 0.73
30 POINTS FOR CORRECT ANSWER! NO TROLLING
As the ball moves from Point 3 to Point 4, which energy conversion is taking place?
Group of answer choices
potential to kinetic
kinetic potential
thermal to kinetic
kinetic to thermal
Answer: potential to kinetic
Step-by-step explanation:
Answer:
Kinetic Energy is defined as energy that a body possesses by virtue of being in motion.
Kinetic Energy is defined as energy that a body possesses by virtue of being in motion.As you walk down stairs, as water boils, and as the planets orbit the sun, kinetic energy is being utilized.GRAVITATIONALApple falls from tree and rolls behind the trunk.
GRAVITATIONALApple falls from tree and rolls behind the trunk.An object’s relative location to a gravitational field is the gravitational potential an object has to do work. Earth’s gravity will pull a ripe apple from the branch and convert it into gravitational kinetic energy.NUCLEARElectrons circle a nucleus at the atomic level.
NUCLEARElectrons circle a nucleus at the atomic level.The mass of an atom’s nucleus is almost entirely comprised of its protons and neutrons. The force binding them together is considered potential energy because it causes them to weigh less than the sum of their parts.ELASTICSpring animation expands and compresses.
ELASTICSpring animation expands and compresses.Elastic potential energy is present when the object, such as a spring, is in a deformed state but can return to a static state. This means the spring has elastic potential energy when it is either stretched or compressed.CHEMICALBattery animation motions towards a full charge.
CHEMICALBattery animation motions towards a full charge.Every animate and inanimate object is the result of chemical reactions. Chemicals in a battery have the potential to be converted into motion, therefore they have chemical potential energy.Potential Energy is defined as the energy stored by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors.
Potential Energy is defined as the energy stored by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors.When you (or a rock) are standing at the top of a hill, you possess more potential energy than when standing at the bottom. This is because your position relative to the Earth’s center of gravity can exert potential energy upon you to bring you closer to that center.Energy can neither be created nor destroyed, this is the conservation of energy law. However, energy can be altered from one form to another.
Energy can neither be created nor destroyed, this is the conservation of energy law. However, energy can be altered from one form to another.All forms of energy are either potential or kinetic energy. Potential refers to stored energy while kinetic is energy in motion.
Energy can neither be created nor destroyed, this is the conservation of energy law. However, energy can be altered from one form to another.All forms of energy are either potential or kinetic energy. Potential refers to stored energy while kinetic is energy in motion.All energy, whether potential or kinetic, is measured in Joules (J).
LOOK AT PICTURE, THEN ANWSER QUESTION, WHOEVER IS CORRECT I WILL MARK BRAINIEST:)
Answer:
c is the correct answer
An automobile assembly line operation has a scheduled mean completion time, , of minutes. The standard deviation of completion times is minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of completion times under new management was taken. The sample had a mean of minutes. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the mean completion time has decreased under new management
Answer:
Step-by-step explanation:
Here are the missing values;
Mean μ = 15.5 minutes
Standard deviation = 1.7 minutes
A Random sample of 90 completion
The sample mean = 15.4 minutes
Level of significance = 0.1
Then the following analysis can be made on the above study.
Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]
the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]
Since, the value is less than, then this is a one-tailed test.
The Z test statistics can be computed as:
[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]
[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]
[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]
Z = −0.560
The critical value of Z at 0.1 level of significance is:
[tex]Z_{0.1} = -1.28[/tex]
Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28
Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.
What is the perimeter?
Answer:
21.3 unit
Step-by-step explanation:
[tex]side CB=\sqrt{(7^{2})+(2^{2})} =\sqrt{53}\\side CA=\sqrt{(5)^{2}+(2^{2})} =\sqrt{29} \\side AB=\sqrt{(5^{2} )+(7^{2} )} =\sqrt{74}[/tex]
[tex]Perimeter=\sqrt{53} +\sqrt{29} + \sqrt{74} =21.2676[/tex] unit
Help me please i have be very grateful
Answer:
8,20,24
Step-by-step explanation:
these numbers they make 52
PLZ HELP ME!!!!!!
if you can buy 35 trumips for $15, then how many can you buy with $3?
Answer: one with change mane I’m pretty sure? Really sorry if that’s not right
Step-by-step explanation:
Answer:
I’m pretty sure it’s 7. Just divide the 35 by 5 bc 5 times 3 is 15 and so it would be 7
Hope this helps
(1 + 9.8k)(2.8) simplified
Answer:
2.8 + 27.44k
Step-by-step explanation:
Algebraic Simplification
The rules of algebra can be applied in some situations to make expressions simplified or expanded, according to the specific needs of each problem.
We are given the expression:
(1 + 9.8k)(2.8)
It's a sum and a product. We cannot add the independent term with the variable term, so we can only multiply the factor and the contents of the parentheses as follows:
(2.8)1 + (2.8)9.8k
Operating:
2.8 + 27.44k
Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies,
how many cookies does he bake?
A. 60 cookies
B. 90 cookies
C. 360 cookies
D. 3,600 cookies
Answer:
360 cookies
Step-by-step explanation:
60 times 6= 360
Describe the transformation of ƒ(x) = ex which is given by g(x) = −e2x + 6.
A)
g(x) is reflected across the y-axis and translated 6 units to the right compared to ƒ(x).
B)
g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).
C)
g(x) is reflected across the y-axis and translated 6 units to the left compared to ƒ(x).
D)
g(x) is reflected across the x-axis and translated 6 units down compared to ƒ(x).
Answer:
g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).
Step-by-step explanation:
Answer:
Step-by-step explanation:
g(x) is reflected across the x-axis and translated 6 units up compared to ƒ(x).
The length of a rectangle is (x+3)cm. If the width of the rectangle is two thirds its length and the perimeter is 27cm,find its area
Answer:
[tex]A = 43.74[/tex]
Step-by-step explanation:
Represent Length with L, Width with W and Perimeter with P
[tex]P = 27[/tex]
[tex]L=x+3[/tex]
[tex]W = \frac{2}{3}(x + 3)[/tex]
Required
Determine the Area
From the perimeter, we need to solve for x;
[tex]P = 2(L + W)[/tex]
Substitute values for P, L and W
[tex]27 = 2(x + 3 + \frac{2}{3}(x+3))[/tex]
[tex]27 = 2(x + 3 + \frac{2}{3}x+2)[/tex]
Collect Like Terms
[tex]27 = 2(3 + 2 + x + \frac{2}{3}x)[/tex]
[tex]27 = 2(5 + \frac{3x + 2x}{3})[/tex]
[tex]27 = 2(5 + \frac{5x}{3})[/tex]
Open bracket
[tex]27 = 10 + \frac{10x}{3}[/tex]
Collect Like Terms
[tex]27 - 10 = \frac{10x}{3}[/tex]
[tex]17= \frac{10x}{3}[/tex]
Solve for x
[tex]x = \frac{3*17}{10}[/tex]
[tex]x = \frac{51}{10}[/tex]
[tex]x = 5.1[/tex]
The Area is then calculated using:
[tex]A = L * W[/tex]
[tex]A = (x + 3)*\frac{2}{3}(x+3)[/tex]
[tex]A = \frac{2}{3}(x+3)^2[/tex]
Substitute 5.1 for x
[tex]A = \frac{2}{3}(5.1+3)^2[/tex]
[tex]A = \frac{2}{3}(8.1)^2[/tex]
[tex]A = \frac{2}{3}*65.61[/tex]
[tex]A = \frac{2*65.61}{3}[/tex]
[tex]A = \frac{131.22}{3}[/tex]
[tex]A = 43.74[/tex]
Hence, the area is [tex]43.71cm^2[/tex]