Answer:
87.92 ft
Step-by-step explanation:
The circumference of a circle can be found using the formula: c = 2pi(r) OR c = pi(d).
r stands for the radius, d stands for the diameter. Because you're given the diameter of the circle, you can simply multiply 28 by pi (3.14), and you'll get the circumference!
Determine the value of the power 1^5
Determine the value of the power 4^7
Determine the value of the power 3^10
WHICH OF THESE DO NOT DESCRIBE THE NUMBER 1024
A: 4^5
B: 32^2
C: 2^9
D: 1024^1
Finally, how would you convince someone that x^3 could be a lot more than x^2 but could it also be the only a little more than or even the same as x^2?
1^5 is 1
4^7 is 16384
3^10 is 59049
The answer is C
Answer:
a) 1^5 = 1
b) 4^7 = 16384
c) 3^10 = 59049
C: 2^9 ≠ 1024
The exponent 8² = 64 while 8³ = 512, but 2² = 4 while 2³ = 8.
Step-by-step explanation:
Not much explanation but hope this helps!
22. 48.6% of the North Dakota population over 18 years old is female.
65.9% of the total population of North Dakota over 18 years old has
enrolled in college at some point in their lives. If these two events are
independent of each other, what is the probability that a randomly
selected adult in North Dakota will be a female who has enrolled in
college, to the nearest percent.
Answer:
32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.
Step-by-step explanation:
We have these following probabilities:
48.6% probability that a randomly selected adult in North Dakota is a female.
If a randomly selected adult in North Dakota is over 18, 65.9% probability that they have enrolled in college at some point in their lives.
These events are independent.
This means that to find the probability that a randomly selected adult in North Dakota will be a female who has enrolled in college, we can just multiply these probabilities.
P = 0.486*0.659 = 0.32 = 32%
32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.
Answer:
the probability that a randomly selected adult in North Dakota will be a female who has enrolled in
college is 32%
Step-by-step explanation:
Given;
48.6% of the North Dakota population over 18 years old is female
P(f) = 48.6% = 0.486
65.9% of the total population of North Dakota over 18 years old has enrolled in college at some point in their lives;
P(c) = 65.9% = 0.659
Since, these two events are independent of each other, the probability that a randomly selected adult in North Dakota will be a female who has enrolled in
college is;
P(f∩c) = P(f) × P(c) = 0.486 × 0.659 = 0.320274
P(f∩c) = 0.32
P(f∩c) = 32%
I have 5 blue pants and 6 pants with a zipper. If I have 9 pants that are either blue or have a zipper or both, how many pants are both blue and with a zipper
Answer:
2
Step-by-step explanation:
Blue pants: 5
Zipper pants: 6
total amount of pants (blue, zipper or both): 9
to find the pants that have both qualities, we need to find the difference between the total amount of pants and the sum of the blue and zipper pants:
sum of blue and zipper pants: 5 + 6 = 11
you can tell that there is a difference of
11 - 9 = 2 pants
this means that these 2 pants belong to both categories (blue and with a zipper). Thus there are 2 pants that are blue and have a zipper
9(2.3n+6)+10.45>43.7
Answer:
Step-by-step explanation:
9(2.3n+6)+10.45>43.7
(9*2.3n)+(9*6)+10.45>43.7
20.7n+54+10.45>43.7
20.7n+64.45>43.7
Assuming a motorcycle traveled 80 miles in 5 hours at a constant speed, How far did it go in 1 hour?
Answer:
16 miles
Step-by-step explanation:
We can write the ratio of miles:hours as 80:5 using the given information. Because we want to find the distance of 1 hour, we can divide the ratio by 5 (because 5/5 is 1, and we want 1 on the "right side") which gets us 16:1. This means that the motorcycle traveled 16 miles in one hour. Hope this helps!
Answer:
16 miles in 1 hour
Step-by-step explanation:
We can use ratios to solve
80 miles x miles
------------------- = ------------------
5 hours 1 hours
Using cross products
80*1 = 5x
Divide each side by 5
80/5 = 5x/5
16 =x
16 miles in 1 hour
What is x???????need help
Answer:
100 degrees
Step-by-step explanation:
The angle x is opposite the angle that is 100 degrees.
Since they are opposite each other, they are vertical angles.
This means that they are congruent, or equal to each other.
Therefore,
x=100
x is 100 degrees
what is the eighth multiple of 12
Answer:
96
Step-by-step explanation:
eighth multiple of 12 = 12 * 8 = 96
Answer:
96
Step-by-step explanation:
12×1=12
12×2=24
12×3=36
12×4=48
12×5=60
12×6=72
12×7=84
12×8=96
In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?
Answer:
325,452 more meteors fell during the Perseid meteor shower
Step-by-step explanation:
An year has 365 days.
Each day has 24 hours.
Each hour has 60 minutes.
Minutes in an year:
365*24*60 = 525600
Persoid:
[tex]1 + \frac{1}{5} = 1 + 0.2 = 1.2[/tex]
One each 1.2 minutes. How many during an year?
1 meteor - 1.2 minutes.
x meteors - 525600 minutes.
[tex]1.2x = 525600[/tex]
[tex]x = \frac{525600}{1.2}[/tex]
[tex]x = 438000[/tex]
438,000 meteors fell during the Persoid shower.
Leonid:
[tex]4 + \frac{2}{3} = 4.67[/tex]
One each 4.67 minutes. How many during an year.
1 meteor - 4.67 minutes.
x meteors - 525600 minutes.
[tex]4.67x = 525600[/tex]
[tex]x = \frac{525600}{4.67}[/tex]
[tex]x = 112548[/tex]
112,548 meteors fell during the Leonid Shower.
How many more meteors fell during the Perseid meteor shower?
438,000 - 112,548 = 325,452
325,452 more meteors fell during the Perseid meteor shower
Do these side lengths make a right triangle? 6.4, 12, 12.2
Help me please it due tomorrow!!!!
Please and Thank you!!!
Thank you
Reading the story, that's just
2c + j - d = $9 + $9 + $70 - $8 = 88 - 8 = $80
Answer: $80
Answer:
$80
Step-by-step explanation:
$9+$9= $18
$18 + $70= $88
$88 - $8= $80
83 random samples were selected from a normally distributed population and were found to have a mean of 32.1 and a standard deviation of 2.4. Construct a 90% confidence interval for the population standard deviation.
Answer:
[tex]\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}[/tex]
[tex] 4.525 \leq \sigma^2 \leq 7.602[/tex]
Now we just take square root on both sides of the interval and we got:
[tex] 2.127 \leq \sigma \leq 2.757[/tex]
Step-by-step explanation:
Information given
[tex]\bar X=32.1[/tex] represent the sample mean
[tex]\mu[/tex] population mean (variable of interest)
s=2.4 represent the sample standard deviation
n=83 represent the sample size
Confidence interval
The confidence interval for the population variance is given by the following formula:
[tex]\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}[/tex]
The degrees of freedom given by:
[tex]df=n-1=8-1=7[/tex]
The confidence level is 0.90 or 90%, the value of [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and we can use excel, a calculator or a table to find the critical values.
The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:
[tex]\chi^2_{\alpha/2}=104.139[/tex]
[tex]\chi^2_{1- \alpha/2}=62.132[/tex]
The confidence interval is given by:
[tex]\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}[/tex]
[tex] 4.525 \leq \sigma^2 \leq 7.602[/tex]
Now we just take square root on both sides of the interval and we got:
[tex] 2.127 \leq \sigma \leq 2.757[/tex]
Marianne’s box for camp measures 24 inches by 24 inches by 14 inches. Will her field hockey stick , which is 1 yard long , fit in the box ? Explain your answer
Answer:
Yes
Step-by-step explanation:
1 yard is approximately 3 feet. The hypotenuse of the base (24 x 24) of the box is 33.94 inches. Then the hypotenuse of the Base's hypotenuse and the height of 14 inches is 36.72 inches, which is just over 3 feet, so the stick should fit.
According to a recent survey, the mean income before taxes of consumer units (i.e., households) in the U.S. was $60,533 with a margin of error equal to 1406.32 (for a 95% confidence level). Calculate a 95% confidence level for the population mean income before taxes for all U.S. consumer units.A (58,681.82, 62,384.18)B (57,776.61, 63,289.39)C (59,097.98, 61,968.02)D (59,126.68, 61,939.32)E (60,166.92, 60,899.08)
Answer:
D (59,126.68, 61,939.32)
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound. These bounds depend of the sample mean and of the margin of error.
The lower bound is the sample mean subtracted by the margin of error.
The upper bound is the margin of error added to the sample mean.
In this question:
Sample mean: 60,533
Margin of error: 1406.32
Lower bound: 60,533 - 1406.32 = 59,126.28
Upper bound: 60,533 + 1406.32 = 61,939.32
So the correct answer is:
D (59,126.68, 61,939.32)
what is the answer = 8w- 8 - 6w = 4w - 7
w= ??
Answer:
- 1/2 (or - 0.5)
Step-by-step explanation:
so first, simplify by combining like terms.
so 8w-6w = 2w
so now we have
2w - 8 = 4w - 7
now we have to get the w's to one side of the equation so we can solve for it. so that mean we have to subtract 2w from both sides. 2w - 2w is 0. and then 4w - 2w = 2w. so now we have
-8 = 2w - 7
then to slowly start isolating w, add 7 to both sides of th equation. so now its
-1 = 2w
finally to get w by itself divide 2 from both sides.
and the answer is
-[tex]\frac{1}{2}[/tex] = w
which polynomial is prime
Answer:
C i think
Step-by-step explanation:
Math question, help? (Click on photo to zoom in) Thank you.
Answer:
the third one
Step-by-step explanation:
I need help with this it's for my E2020 class
Answer:
[tex]f = \frac{ - 6g}{5} [/tex]
Step-by-step explanation:
6f + 9g = 3g + f
6f - f = 3g - 9g
5f = - 6g
[tex]f = \frac{ - 6g}{5} [/tex]
Answer:
B
Step-by-step explanation:
The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
plz help
Answer:
14 and 17
Step-by-step explanation:
x+y=41
y=2x-1
x+(2x-1)=41
3x-1=41
3x=42
x=14
y=2(14)-1=27
Step-by-step explanation:
Step 1: Make a system of equation
The sum of two numbers is 41
x + y = 41
The larger number is one less than twice the smaller number.
x = 2y - 1
Step 2: Substitute x from the second equation into the first
[tex]x + y = 41[/tex]
[tex](2y - 1) + y = 41[/tex]
[tex]3y - 1+ 1 = 41 + 1[/tex]
[tex]3y/3 = 42 / 3[/tex]
[tex]y = 14[/tex]
Step 3: Substitute y into the second equation
[tex]x = 2y - 1[/tex]
[tex]x = 2(14) - 1[/tex]
[tex]x = 28 - 1[/tex]
[tex]x = 27[/tex]
Answer: [tex]x = 27, y = 14[/tex]
please help with math
Answer:
Step-by-step explanation:
diameter d=18 m
r=18/2=9 m
circumference=2πr=2π×9=18π square meters.
I will give brainlest, please help me!
Answer:
Number of people: 5
Number of handshakes: 10
Number of people: 6
Number of handshakes: 15
Number of people: 7
Number of handshakes: 21
Number of people: n
Number of handshakes: (n * (n-1))/2
Step-by-step explanation:
(n * (n-1))/2
Use the equation above to solve for # of handshakes
Dan has $2.50 in cash that he can leave as a tip. His bill can be no more than what amount if his tip
is to be appropriate?
he can be no cash in his account
5x-4(3x-9)-2 I just can’t get the question right
Answer:
[tex] - 7x + 34[/tex]
Step-by-step explanation:
[tex]5x - 4(3x - 9) - 2 \\ 5x - 12x + 36 - 2 \\ = - 7x + 34[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
-7x + 34
Step-by-step explanation:
Hopefully this is simplify...
5x - 12x + 36 - 2
-7x + 34
amiee wants to order DVDs from amazon each DVD costs 8.49 and shipping for the entire order is 5 dollars she only has 70 dollars to spend how many DVDs can she order
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
We divided the figure in picture into 1 triangle and 2 rectangles.
Adding up the area of them, we get the total area:
A = area of triangle + area of 2 rectangles
= base x height/2 + length1 x width1 + length2 x width2
= 13 x (4 + 13 + 8 - 12)/2 + 11 x 8 + 3 x 13
= 211.5
Hope this helps!
:)
You ask a friend to think of a number from 8 to 15. What is the probability that his number will be a multiple of three?
show work pls tnx!
Answer:
Step-by-step explanation:
numbers are 8,9,10,11,12,13,14,15
total events(numbers)=8
multiples of 3 are 9,12,15
or favorable events are 9,12,15
number of favorable events=3
P=3/8
In Mr. Johnson’s classes, 30% of the students scored a 95 on a quiz. Let be the total number of students in Mr. Johnson’s classes. If 15 students scored a 95, write an equation involving that relates the number of students who scored a 95 to the total number of students in Mr. Johnson’s classes. i need to know this quick!! like by tomorow
Answer:
15 students (30% of the students in class) scores a 95 on a quiz.
Therefore the total number of students (100% of the students) in class is:
N = 15 x 100/30 = 50 (students)
(This calculation is inferred from a ratio that 15/N = 30/100).
Denote the number of students who scored a 95 on a quiz is a, the total number of students in class is b.
Then the equation that related a and b is:
b = (100/30) x a
Hope this helps!
:)
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answer:
The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
In this case we can apply a rule of three to calculate the time it'll take for the 32 electricians to finish the job. This is done below:
24 electricians -> 36 days
32 electricians -> x days
We have to be careful here, since the variables are inversely proportional, since if there are more electricians working on the same job, we expect the job to be finished in fewer days, therefore we need to invert one of the fractions as shown below:
[tex]\frac{24}{32} = \frac{x}{36}\\32*x = 36*24\\x = \frac{864}{32}\\x = 27[/tex]
The 32 electricians are expected to finish the job in 27 days.
Answer:
27
Step-by-step explanation:
Complete 1 for 5 points.
Answer:
Because if you multiply fractions you get a smaller number! for instance: (1/2)*(1/2)=(1/4) so you get a much smaller value. you merely multiply across so the denominator gets smaller.
What two integers is the square root of 84 between?
7 and 8
8 and 9
9 and 10
Answer:
9 and 10
Step-by-step explanation:
We know that 9 can be expressed as √81, and 10 is equal to √100, and because 81 < 84 < 100, it is in between 9 and 10. Hope this helps!
100 Points
Easy question
Topic: Multiplying and dividing fractions
Answer:
see below
Step-by-step explanation:
The trip takes 2 hours
Stopping every half hour means stopping at 30 minutes, 1 hour, 1.5 hours
We would not stop at 2 hours because we would be done.
One the number line R means rest stops
200 Km /4 means at 50 km, 100 km 150 km and 200 km
The rest stops are at 50 km 100 km 150 km (the one at 200 is at the end of the trip so it is not a rest stop
We have to stop for gas 3/4 of the way
200 *3/4 = 150 km
We will stop for gas at a rest stop at 150 km
Answers and Step-by-step explanations:
(a)
We want to find where to stop, so let's calculate the distances between the different rest points.
This is a distance-rate-time problem, so we need to use the equation d = rt, where d is the distance, r is the rate, and t is the time. Here, d = 200 km and t = 2 hours. So:
200 = r * 2
r = 100
Your speed is 100 km/hr. Now, you plan on stopping every half hour. We know that you drive 100 km in 1 hour, so that means you drive 100/2 = 50 km in half an hour. So, we want to draw a number line where every 50 km, there's a rest stop (red on attachment).
See attachment.
(b) We need to get gas at Fort MacLeod, which is 3/4 of the way to Lethbridge. The total distance is 200 km, so 3/4 of that will be:
(3/4) * 200 = 600 / 4 = 150 km
So, mark the place that is 150 km (blue on attachment).
See attachment.
Note that the green simply represents your entire trip from Calgary (start) to Lethbridge (end).