Answer:
2.2 g/cm2
Step-by-step explanation:
well the rule for rounding is 5 and up go up and 4 and down stay the same so 2.16207 would round to 2.2
Answer:
2.2
round up
Step-by-step explanation:
The Martian monetary system uses colored beads instead of coins. A blue bead is worth 3 Martian credits, and a red bead is worth 7 Martian credits. Thus, three blue beads are worth 9 credits, and a blue and red bead together are worth 10 credits, but no combination of blue and red beads is worth 11 credits. Using Induction, prove that for all n ≥ 12, there is some combination of blue and red beads that is worth n credits. Clearly state the type of Induction you have used to prove the problem
Answer:
"a" is showing the number of blue beads
"b" represents the number of red beads in a combination
let "n" show the number of credits.
We get the following equation:
n = 3a + 7b.
Now, we want to prove that for all n ≥ 12, there is some combination of blue and red beads that is worth n credits, there are a, b in N such that:
n = 3a + 7b
Hence we will prove this by induction.
Base Cases: n = 12.
Applying the formula clearly 12 = 3*4+7*0.
n = 13
Applying the formula clearly 13 = 3*2+7*1.
n = 14.
Applying the formula clearly 14 = 3*0+7*2.
Induction Step: Assume that for all 12<=k<n there are x, y in N such that
k = 3x + 7y. We will now prove that there are a, b in N such that n = 3a + 7b.
By the induction hypothesis we know that there are x, y in N such that n-3 = 3x + 7y.
Hence n = n - 3 + 3 = 3x + 7y + 3 = 3(x + 1) + 7y, so choosing a = x + 1
and b = y we see that n = 3a + 7b.
Therefore by induction, the claim is true for all n ≥ 12
What is X 7x - 3 = 11
weeee
weeee
weeee
naaaa jk this is the real question
ANYONE WAN NA HAVE SOME "FUN"???
Answer:
x=2
Step-by-step explanation:
7x - 3 = 11
Add 3 to each side
7x - 3+3 = 11+3
7x = 14
Divide by 7
7x/7 = 14/7
x = 2
[tex]\boxed{\bold{ X=2 }}[/tex]
Full solution7x-3=11
now we have to add 3 in both sides
we get that,
7x-3+3=11+37x=14now divide 7 in both sides
we get that,
7x/7=14/7x=2An electronics store advertises that one lucky customer will be given a television at the store's 10th anniversary celebration on the day of the
celebration, 150 customers, of which 82 are less than 30 years old and 68 are 30 years old or more, complete a form to enter for the chance to win
the television. The manager of the store wants to select the winner by drawing a form out of a box, but the box can only hold 100 forms.
Which method ensures both that the manager can use the box for the selection and that each customer has a fair chance of winning?
A. Divide the forms into two lots based on age. Then, randomly select one of the lots and place it in the box Randomly select the
winning customer's form out of the box.
B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box
Randomly select the winning customer's form out of the box
c. Sort the forms alphabetically by last name Then, place the first 100 forms into the box Randomly select the winning customer's
form out of the box
D. Randomly divide the 150 forms into five equal-sized groups. Then randomly select 4 of the groups and place them in the box
Randomly select the winning customer's form out of the box
Answer:
the answer to this question is"B"
B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box
Randomly select the winning customer's form out of the box
What a in electronics?AMPERE - A unit of measure for the flow of current in a circuit. One ampere is the amount of current flow provided when one volt of electrical pressure is applied against one ohm of resistance.
What is the use of electronics?Electronics uses active devices to control electron flow by amplification and rectification, which distinguishes it from classical electrical engineering, which only uses passive effects such as resistance, capacitance and inductance to control electric current flow.
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What is its equation
slope-intercept form ?
Last semester, Mr. Dean had 8 students who built a sailboat in 160 working hours. The time that
takes for a group of students to build a sailboat varies inversely as the number of students s working on the
sailboat. How many hours would it take 12 students to build the bout?
Answer:
106.67 hours
Step-by-step explanation:
Total hours
160 * 8 = 1,280
Hours for group of 12
1280 / 12 = 106.6666666667
There are 80 new houses being built in a neighborhood. Last month 2/5 of them were sold. This month, 1/8 of the remaining houses were sold. How many houses are left to be sold?
Answer:
41 houses
Step-by-step explanation:
Given the following data;
Total number of house = 80 houses
Fraction sold in the 1st month = 2/5
Fraction sold in the 2nd month = 1/8
To find the number of houses left unsold;
Number sold in the 1st month = 2/5 * 80
Number sold in the 1st month = 160/5
Number sold in the 1st month = 32 houses
Numbers of houses left = 80 - 32 = 48 houses
Number sold in the 2nd month = 1/8 * 48
Number sold in the 2nd month = 48/8 = 7 houses
Number of houses left = 48 - 7 = 41 houses
Eve surveys the students in her classroom to find out how much time they spent doing their homework last night. The results are plotted in the line plot below. The measurements are rounded to the nearest \dfrac{1}{4}
4
1
start fraction, 1, divided by, 4, end fraction of an hour
Answer: The answer is 5/4 :)
Answer:
5/4 or 1 1/4
Step-by-step explanation:
khan academy
how to put 10x - 3y= -6 in slope intercept form
Answer:
y=10/3x+2
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10x-3y=-6
-10x. -10x
-3y=-6-10x
/-3. /-3
y=10/3x+2
Cos 0 =
I need this as fast as I can please
Step-by-step explanation:
I hope you understand what I wrote
Answer:
cos=Adjacent / hypotenuse
[tex] \cos = \frac{35}{37} [/tex]
choose B.
For each of the regions D in R^2 below, fill in the blank so that the statements are true:
A continuous function on D= {(x,y) ∈ R^2 | 2x^4+6y^2 >= 152} __________ have an absolute maximum.
a. must
b. might or might not
c. must not
Answer:
b. might or might not
Step-by-step explanation:
Theorem:
If f is a continuous function in a bounded interval, it must have an absolute maximum.
In this question:
The interval is 2x^4+6y^2 >= 152, which goes to infinite, meaning it is not bounded, and so the function might or might not have an absolute maximum, and the correct answer is given by option b.
Answer:
b. might or might not
Step-by-step explanation:
For each of the regions D in R^2 below, fill in the blank so that the statements are true: might or might not
Solve for x
3x−2=4x+5
Answer:
the answer for x equal negative 7
How do I multiply 73.458 × 0.39
Distance on a Coordinate Plane
Determine the distance between the two points.
Answer:
The distance between the points is five for the first one and 7 for the second one.
Step-by-step explanation:
Find the surface area of
8 m
14 m
18 m
Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?
Answer: $1,540.00 is the total amount needed for the class trip
Step-by-step explanation:
Data: $110.00 earned for class trip
14th of the money needed
Money needed: x
Step one, Make the equation
110x14=x
Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.
Step two, Evaluate the equation
110x14=x=1540=x
Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the answer of x=1540.
However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'
I hope this helps!
9. A bag contains 3 red, 2 white, and 5 blue marbles. If one marble is drawn and not replaced and another (Inv. 10) marble is drawn, what is the probability that both marbles will be red?
Which numbers has a sum of zero
Answer:
prob -3
Step-by-step explanation:
The number 0 is called the additive identity because when you add it to a number, the result you get is the same number. For example, 4 + 0 = 4. Any two numbers whose sum is zero, such as 3 and -3, because 3 + (-3) = 0.
Answer:The number 0 is called the additive identity because when you add it to a number, the result you get is the same number. For example, 4 + 0 = 4. Any two numbers whose sum is zero, such as 3 and -3, because 3 + (-3) = 0.
Step-by-step explanation:
PLEASE HELP I WILL MAKE YOU THE BRAINLIEST IF IT LETS ME
NO FAKE LINKS OR I WILL REPORT YOU
Answer:
b
Step-by-step explanation:
since 5 is 1/2 of 10, 10 is 1/2 of 20, and so on and so forth.
Answer:
B
Step-by-step explanation:
Every number on A is half what the corrisponding number on B
The two pyramids below are similar. What is the length of the altitude of the
smaller pyramid?
HELP PLEASE
Answer:
The answer is B. [tex]\frac{6}{5}[/tex].
Step-by-step explanation:
In order to solve for the length of the altitude of the smaller pyramid, start by writing the length of the altitudes and the length of the pyramids in a proportion. The proportion should look like [tex]\frac{3}{5}[/tex] = [tex]\frac{x}{2}[/tex] because each number has to correspond with its similar number.
Next, cross multiply both fractions to get an equation, which will look like 5x=(3)(2). Simplify the equation, and now it will look like 5x=6.
Then, divide both sides by 5, and the final answer will be [tex]\frac{6}{5}[/tex].
HELP PLSSS HURRY PLS
Answer:
48
Step-by-step explanation:
because it gives us the perimeter, we add all the sides
4z-1+4z-1+5z+3+5z+3=166
8z-2+10z+6=166
18z+4=166
18z=162
z=9
side PS is 5z+3
plug in z to get 45+3=48
PLS HELP!!
Mr. Holmgren is the band director at school. He asks
students to record how often they practiced the week
before a concert. The dot plot shows the data he has
recorded.
Time Spent Practicing
...
6
2 3
5
Number of days
What unit of measure is used in the study?
A. Number of students
O B. Weeks
O C. Number of observations
O D. Days
PREVIOUS
Answer:
Days
Step-by-step explanation:
I'd say Days
What is the length of the sink using the red line on the tape measure?
Answer:
A.
Step-by-step explanation:
Write an algebraic expression for the situation.
7 times the sum of y and 1/3
Answer:
7(y + 1/3)
Step-by-step explanation:
7 times the sum of y and 1/3
7 * (y + 1/3)
7 * (y + 1/3)
7(y + 1/3)
Which equation can be used to find the volume of this solid?
V = 3 times 5 times 4
V = 3 + 5 + 4
V = 5 times 4
V = 3 times 5
Answer:
You would use V=3 times 5 times 4
First you would multipy 5 times 4 then when you get that answer you would multiply the 3.
HELP ASAP PLS
The lifespan of a car battery is normally distributed with µ = 5 years and σ = 1.2 years. What is the probability that a new battery will last between 7 and 8 years?
a. 3.61%
b. 13.74%
c. 4.16%
d. 2.15%
Answer:
4.16%
Step-by-step explanation:
Had it on my test gl!
The probability that a new battery will last between 7 and 8 years is 4.16%.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
µ = 5 years and σ = 1.2
Now, P( 7 < x <8)
= P ( 7- µ/σ < x- µ/σ < 8- µ/σ)
= P( 7- 5/1.2 < 7- µ/σ < 8- 5/1.2)
= P (1.5 < z < 2.5)
= Φ(2.5) - Φ (1.5)
= 0.9938 - 0.9522
= 4.16%
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can someone help? i need to create a word problem using this equation. it is a quadratic equation and it’s 1/4x squared to the two.
Answer:Diana has a car that is worth 40000 dollars each year the car loose value of 1/4 the original value.How much will the car be worth 2 years after she bought it?
Step-by-step explanation:
When a researcher asks respondents for the names or identities of others like themselves who might qualify to take part in the survey, they are using what type of sampling method
Answer:
Chain referral sampling
Step-by-step explanation:
Chain referral sampling is also known as snowball sampling. In this form of sampling, the samples are collected from the referrals given by the existing samples. The samples are collected and the research is conducted respectively. This method is used in the business marketing also. The places where the people are not known by the company, the method of chain referrals are made and the samples are collected.
Find the volume of a cone with a height of 13 cm and a radius of 5 cm.
Answer:
V≈340.34
Step-by-step explanation:
V=πr2h
3=π·52·13
3≈340.3392
BRAINLIEST PLEASSEEEEE HELP
7TH GRADE MATH
10PTSSSSS EASYYY
PLEASE HELP
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
Perimeter = 46 cm, area = 131.25 cm2
Perimeter = 126 cm, area = 972 cm2
Perimeter = 46 cm, area = 972 cm2
Perimeter = 126 cm, area = 131.25 cm2
Answer:
B
Step-by-step explanation:
The expense ratio (in percentage) for large-cap growth mutual funds have the following sample data0.52, 1.06, 1.26, 2.17, 1.55, 0.99, 1.10, 1.07, 1.81, 2.05 0.91, 0.79, 1.39, 0.62, 1.52, 1.02, 1.10, 1.78, 1.01, 1.15The data is believed to be normally distributed.a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypothesis using a significance level 0.01.b. Referring back to part (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that ? = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?c. Suppose that ? = 0.5, determine and interpret the power of the test in part (a) for the actual value of ? stated in (b).
Answer:
Part a: Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b: Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c: Power = 0.6591=0.66
Step-by-step explanation:
Part a:
Let the null and alternate hypotheses be
H0: u ≤ 1 against the claim Ha: u > 1
The significance level is ∝=0.01
As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom
This is one tailed test the critical region is t > ± 2.539
The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486
We take population mean = u= 1
The test statistic is
t = x`-u/ s/ √n
t= 1.24-1 / 0.445/√20
t= 0.24/0.0995
t= 2.412
Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b:
Type I errors are those errors when the null hypothesis is true and is rejected.
Type II errors are those in which the null hypothesis is false and is accepted.
If we had rejected the null hypothesis as it was true then we would have made a type I error.
Population mean = u = 1.33
And our null hypothesis is u= 1
Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c:
When σ= 0.5
For Part a: μ= 1.33
Power = P (reject H0/ H0 is false)
= 1-β
P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)
= P (z > 2.539+ (1-1.33) /0.5 *√20)
=P (z > 2.539-2.9516)
= P (z > 0.4126)
= 0.5 - P (z= 0.2938) from the area of table.
= 0.5- 0.1591
=0.3409
Power = 1-β = 1- 0.3409= 0.6591=0.66