. The circumference of a clock is 28 inches. Which equation can be used to find d, the diameter of the
clock in inches?
Answers
Answer:d=28/n
Step-by-step explanation:
C=\(\pi d\)
28=3.14d
d=28/3.14
or d=28/n
Related Questions
Find the x-and y-intercepts.3x – 2y =-6The x-interceptisThe y-intercept is
Answers
The x-intercept -2 is and the y-intercept is 3
Here, we are tasked by finding the x-intercept and the y-intercept of the given straight line
The x-intercept is the point on the graph where we have the coordinates as (x,0)
What this mean is that at the x-intercept, the value of y = 0
Thus by substituting y = 0 into the equation, we can get the value of the x-intercept
Making the substitution, we have
3x - 2(0) = -6
3x = -6
x = -6/3
x = -2
The y-intercept is the point on the graph where we have the coordinates as (0,y)
What this mean is that at the y-intercept, the value of x = 0
Thus by substituting x = 0 into the equation, we can get the value of the y-intercept
Making the substitution, we have
3(0) - 2y = -6
-2y = -6
divide both sides by -2
y = -6/-2
y = 3
A bag contain 5 red marbles, 4 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?
Answers
Answer:
2/91.
Step-by-step explanation:
There are 15 marbles in the bag.
Prob(First draw is red) = 5/15 = 1/3.
Prob(Second draw is red) = 4/14 = 2/7.
Prob(Third draw is red) = 3/13.
So probability that all 3 are red = .1/3 * 2/7 * 3/13
= 6/273
= 2/91.
Two independent samples have been selected, 6262 observations from population 1 and 5151 observations from population 2. The sample means have been calculated to be x¯¯¯1=13.2x¯1=13.2 and x¯¯¯2=11.5x¯2=11.5. From previous experience with these populations, it is known that the variances are σ21=39σ12=39 and σ22=29σ22=29.For the hypothesis test of H0:(μ1−μ2)=1.6H0:(μ1−μ2)=1.6 and Ha:(μ1−μ2)≠1.6Ha:(μ1−μ2)≠1.6 Use α=0.04α=0.04.(a) Compute the test statistic.z=z=(b) Find the approximate p-valuep−value=p−value=The final conclustion isA. There is not sufficient evidence to reject the null hypothesis that (μ1−μ2)=1.6(μ1−μ2)=1.6.B. We can reject the null hypothesis that (μ1−μ2)=1.6(μ1−μ2)=1.6 and accept that (μ1−μ2)≠1.6(μ1−μ2)≠1.6.
Answers
a) The test statistic for the two independent samples is 0.7
b) The p-value for the test sample is 0.483 , here p-value is greater than significance level.Thus, there is no sufficient evidence to reject null hypothesis.
Given,
significance level, \alpha = 0.04
From population 1,
Mean, \(x_1=13.2\)
variance, \(\sigma^2_1=39\)
standard deviation, \(\sigma_1 =6.24\)
sample size,\(n_1=62\)
From population 2,
Mean, \(x_2=11.5\)
variance, \(\sigma^2_2 = 29\)
standard deviation, \(\sigma_2=4.47\)
Test hypothesis,
\(H_0:(\mu_1-\mu_2)=1.6\\\\H_a:(\mu_1-\mu_2)\neq1.6\)
a)
The test statistic can be determined by formula,
\(z=\frac{(x_1-x_2)-d}{\sqrt{\frac{S^2_1}{n^2_1}+\frac{S^2_2}{n_2}}}\)
\(d=\mu_1-\mu_2=1.6\)
\(z=\frac{(13.2-11.5)-1.6}{\sqrt{\frac{6.24^2}{62^2}+\frac{4.47^2}{51}}}\\\\z=\frac{0.1}{\sqrt{0.01+0.007}}\\\\z=\frac{0.1}{0.13}=0.7\)
b)
P-value can be calculated by the z-score table
as z=0.7 then from z-value table
p=0.483
A p-value greater than 0.04 (> 0.04) indicates strong support for the null hypothesis. This means that the null hypothesis is retained and the alternative hypothesis is rejected. It is important to note that you cannot accept the null hypothesis; we can only reject it or fail to reject it.
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The first sequence rule is multiply by 3 starting from 5. The second sequence rule is add 9 starting from 18. What is the first number that appears in both sequences?
27
45
72
135
what is the answer
Answers
Considering the sequences given, the first number that appears in both sequences is given by: 45.
What numbers appear in the first sequence?The rule is multiply by 3 starting from 5, hence the numbers are:
(5, 15, 45, 135, ...).
What numbers appear in the second sequence?The rule is add 9 starting from 18, hence the numbers are:
(18, 27, 36, 45, ...).
45 is the first number that appeared in both sequences.
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When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Answers
Solution :
The formula for the linearization of a function \($f(x)$\) at a point \($x$\) = a is given as
\($L(x)=f(a)+(x-a)f'(a)$\)
Assuming the time is t and the distance travelled is \($f(t)$\), that makes the speed as \($f'(t)$\).
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ \($L_7(t)=f(7)+(t-7)f'(7)$\)
\($=2.5+(t-7)0.5$\)
\($=2.5+0.5t-3.5$\)
\($=0.5t-1$\)
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ \($L_{18}(t)=f(18)+(t-18)f'(18)$\)
\($=14.8+(t-18)0.8$\)
\($=14.8+0.8t-14.4$\)
\($=0.8t-0.4$\)
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
\($L_7(14)=0.5(14)-1.0$\)
= 7 - 1
= 6 km
\($L_{18}(14)=0.8(14)+0.4$\)
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
What are the outputs of the function below?
-6, -3, 1, 5
-6, -3, 4, 6
-8, 2, 4, 6
-8, 2, 1, 5
Answers
Answer:
\(5 { \times 54}^{2} \)
JUST LOOK AT THE PICTURE THE QUESTION IS THERE ALREADY JUST GIVE ME THE RIGHT ANSWER PLEASE
Answers
Area of rectangle is length times of width. Thomas is painting the wall at a warehouse blue. He painted in 6 hours of area 240 square feet.
What is area of rectangle?Area of rectangle is length times of width.
Area=Length*width.
From the given figure the length is 12 ft and width is 5 ft in 1.5 hrs.
area he covered painting= 12ft*5ft
=60 square feet.
In 1 and half hour he painted 60 square feet.
Now for 6 hours we have to calculate.
4*(1 and half hrs)=6 hrs
So we have to multiply 4 with 60 to get the area in 6 hours.
4*60=240square feet.
Therefore 240 square feet area Thomas painted.
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John entered a cross-country ski race. The first part of the race was 14 km long, and he completed it in 1 hour. The second part was 18 km long, and he completed this part in an hour and a half. What was John's average speed for the whole race?
A.
12.8 kilometers per hour
B.
26 kilometers per hour
C.
27.3 kilometers per hour
Answers
John's average speed for the whole race would be; 12.8 kilometers per hour
How to calculate the average speed?The first part of the race was 14 km long, and he completed it in 1 hour.
Now, formula for speed is;
Speed = distance/time
Thus, John's speed in the first part of the race would be;
14/1 = 14km/hr
The second part was 18 km long, and he completed this part in an hour and a half. This means that his speed in the second part of the race is;
18/1.5 = 12km/hr
Average speed = Total distance/total time
Total distance for both parts of the race is;
14 + 18 = 32km
Total time for the race is;
1 + 1.5 = 2.5 hours
John's average speed for the whole race would be;
32/2.5 = 12.8 kilometers per hour
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Simi bought a study table for $9000.She sold it at a profit of 20%.How much profit did she make ? What is the selling price?
Answers
Answer:
10,800
Step-by-step explanation:
9,000+ 20%= 10,800
Please help me with this
Answers
The volume of rectangular prism is 90 unit³.
We can consider the 1 block = 1 unit.
Length of prism = 5 unit
width of prism = 6 unit
Height of prism = 3 unit
So, Volume of rectangular prism
= l w h
= 5 x 6 x 3
= 90 unit³
Thus, the volume of rectangular prism is 90 unit³.
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I’m stuck please help?
Answers
Answer:
1,3,5,7,9...
Step-by-step explanation:
All of the answers go up by +2
A ship’s sonar finds that the angle of depression to a wreck on the bottom of the ocean is 10.5 If a point on the ocean floor is 55 meters directly below the ship, how many meters, to the nearest tenth, is it from that point on the ocean floor to the wreck?
Answers
x = 55 * tan(10.5)
Using a calculator, we get:
x ≈ 10.1 meters (rounded to the nearest tenth)
Therefore, the wreck is approximately 10.1 meters from the point on the ocean floor directly below the ship.
Add. write your answer in simplest form.
-4 _/135 + 7 _/15
Answers
\( \huge\quad\qquad\underline{{\sf Answer}}\)
Let's solve ~
\(\qquad \sf \dashrightarrow \: - 4 \sqrt{135} + 7 \sqrt{15} \)
\(\qquad \tt \dashrightarrow \: - 4 \sqrt{5 \times3 \times 3 \times 3} + 7 \sqrt{15} \)
\(\qquad \tt \dashrightarrow \:( - 4 \times 3) \sqrt{5 \times 3} + 7 \sqrt{15} \)
\(\qquad \tt \dashrightarrow \: - 12 \sqrt{15 } + 7 \sqrt{15} \)
\(\qquad \tt \dashrightarrow \: - 5 \sqrt{15} \)
A six sided die is rolled and a coin is tossed. Find P(1 and H).
1/2
2/3
1/6
1/12
Answers
The probability of landing a 1 in dice and getting heads in coin is 1/12 , Option D is the right answer.
What is Probability ?Probability is defined as the study of likeliness of an event ot happen ,
It has a range of 0 to 1.
When a dice having 6 side is rolled , and a coin is tossed
P( 1 and H ) = ?
The probability of landing 1 is P(1) = 1/6
The probability of heads is P(H) = 1/2
The probability of landing an H and 1 is given by the product of the independent probabilities.
P( 1 and H ) = (1/6) * (1/2) = 1/12
Therefore the probability of landing a 1 in dice and getting heads in coin is 1/12 , Option D is the right answer.
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find the slop of the line passing
through A (-5,1) and B (3,-2)?
Answers
Answer:
-3/8
Step-by-step explanation:
(Y1 - Y2)/(X1 - X2) = SLOPE
(1 - -2)/(-5 - 3) = 3/-8
-1/2+2/3 plz help I am confused
Answers
Answer:
= 1/6
Step-by-step explanation:
-1/2 + 2/3
=-3/6 + 4/6
= 1/6
Put these numbers in order from least to greatest.
-1/4
2/40
-16
9/25
Answers
Answer:
(-1/4)(-16)(2/40)(9/25)Step-by-step explanation:
What should the initial deposit be
changed to so that the account will
have $1735.98 in it by the year
2027?
Answers
The initial deposit should be changed to $1,000.This is because if $1,000 is deposited in an account with an interest rate of 3.5% compounded annually, it will be worth $1,735.98 after 10 years.
What is interest ?Interest is a fee charged by a lender for the use of borrowed money. It is the cost of borrowing money and is typically expressed as a percentage of the principal (the amount borrowed). Interest is also earned on money that is saved or invested. The amount of interest earned or charged depends on a variety of factors, including the amount borrowed, the length of the loan, and the prevailing market conditions. Interest rates can be fixed, meaning they remain constant throughout the life of the loan, or they can fluctuate with changing market conditions.
Therefore, the initial deposit should be changed to $1,000 in order to achieve the desired balance of $1,735.98 by the year 2027.
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Choose the equation and description for the
relationship given in the table.
x = 0.035y. There are 0.035 grams in every ounce.
y = 0.035x. There are 0.035 ounces in every gram.
x = 0.035y. There are 0.035 ounces in every gram.
y = 0.035x. There are 0.035 grams in every ounce.
Answers
Answer:y= 0.035x. There are 0.035 ounces in every gram.
Step-by-step explanation:I just did the assignment and got it right
Answer:
y = 0.035x. There are 0.035 ounces in every gram.
Its B
Step-by-step explanation:
If AB= x+4, BC=2x-10, and AC=2x+1, then find the value for AB
Answers
Answer:
x+4→AB=7+4=11
Step-by-step explanation:
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answers
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
if I move up 8 and then move down 8 where am I located?
Answers
Answer:
you are back in your place.
Step-by-step explanation:
what are exchange rates?
Answers
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
1. Mr. C has a square soccer field. The length of the soccer field is 18 feet.
What is the area of the soccer field:,
What is the perimeter of the soccer field
Answers
Answer:
Area = 324ft²
Perimeter = 72ft
Step-by-step explanation:
Area of a square = length²
Area of a square = (18ft)² = 324ft²
Perimeter of a square = 4*length
Perimeter of a square = 4ft*18 = 72ft
Which of the following functions is quadratic?
A.f(x) = 2/x^2
B. f(x) = 3(3-x)
c. f(x) = 7^2
D. f(x) = 2x^2 +3x - 5
Answers
Answer:
D
Step-by-step explanation:
the 'x' term is squared but not in the denominator
help please? <3 asap
Answers
Answer:b
Step-by-step explanation:
Answer:
It is b because it just makes the most scence
What is the degree of the polynomial, y^2+7x^14-10x^2?
Answers
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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been waiting for half an hour pls help me
Answers
Answer:
13.7 cm
Step-by-step explanation:
there are 360° in a circle and in this image, we can see 90°+90°+66.4°=260.4since we know that 360°-260.4°=99.6°The angle measure of arc AD is 99.6°Now that we covered that, we can use the arc length formula in order to find the length of arc AD.
arc length = 2πr(Θ/360°)2π(7.9)(99.6°/360°) = 13.7329rounded to the nearest tenth = 13.74. For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate. The graph shows how he calculates the cost of a babysitting job. Write a linear function in the form
y = mx + b to represent the situation.
Ay = 3x+2
B. y = 3x+1
C. y = 6x+2
D. y = -6× + 2
Answers
y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.
The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job
x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).
y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.
y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.
y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.
y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.
Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.
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Factor Please show steps
3^5 + 12^4 − 36^3
Answers
Answer:
-25677 = -3^4×317^1
Step-by-step explanation:
Factor the following integer:
-25677
Hint: | Show that 25677 is divisible by 9.
The sum of the digits of 25677 is 2 + 5 + 6 + 7 + 7 = 27, which is divisible by 9. This means 25677 is too
25677 = 9×2853:
-25677 = -9×2853
Hint: | Express 9 as a square.
9 = 3^2:
-25677 = -3^2×2853
Hint: | Show that 2853 is divisible by 9.
The sum of the digits of 2853 is 2 + 8 + 5 + 3 = 18, which is divisible by 9. This means 2853 is too
2853 = 9×317:
-25677 = -3^2×9×317
Hint: | Express 9 as a square.
9 = 3^2:
-25677 = -3^2×3^2×317
Hint: | 3 has no proper divisors.
3 is prime:
-25677 = -3^2×3^2×317
Hint: | Find a divisor of 317 by testing the integers between 2 and sqrt(317)≈17.8 for divisibility.
Because 317 is odd, only test odd numbers for divisibility
317 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17
Since 317 is not divisible by any integer up to 17, it is prime:
-25677 = -3^2×3^2×317
Hint: | Express -25677 as a product of prime powers.
There are 4 copies of 3 and 1 copy of 317 in the product:
Answer: -25677 = -3^4×317^1