Answer: Hello there!
It is 5.25 x .10^-10
Hope This Helps You!
Good Luck :)
Step-by-step explanation:
3 in
4 in
7 in
10 in
3 in
9 in
Find the volume of the figure.
Answer:
Step-by-step explanation:
165
What is the factored form of 64g^3+8?
Answer:
D :)
Step-by-step explanation:
Correct Edge2022
Is the relation a function? {(4, 9), (5, 1), (3, 12), (10, 2), (5, 10)}
Answer:
no x value5 is repeated twice so not a functions
Answer:
No.
Step-by-step explanation:
It is not a relation, because the x-values are the same. (5,1), (5,10).
Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
For more such questions on polynomial
https://brainly.com/question/1496352
#SPJ8
A population has standard deviation o = 17.2.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.8% confidence interval for u will have a margin of error equal to 3.8?
Round the critical value to no less than three decimal places.
Round the sample size up to the nearest integer.
A sample size of
3.8.
is needed to be drawn in order to obtain a 99.8% confidence interval with a margin of error equal to
Answer:
idk
Step-by-step explanation:
Create a list of steps, in order, that will solve the following equation.
taking
(a + 5)2 – 1 =3
Solution steps:
Add 1 to both sides
by
Multiply both sides by 4
1
Multiply both sides by
4
with
Subtract 1 from both sides
Subtract 5 from both sides
ру
with
Square both sides
Take the square root of both sides
tics
Answer:
a = -3
Step-by-step explanation:
Solve for a:
2 (a + 5) - 1 = 3
Hint: | Distribute 2 over a + 5.
2 (a + 5) = 2 a + 10:
(2 a + 10) - 1 = 3
Hint: | Group like terms in 2 a - 1 + 10.
Grouping like terms, 2 a - 1 + 10 = 2 a + (10 - 1):
(2 a + (10 - 1)) = 3
Hint: | Evaluate 10 - 1.
10 - 1 = 9:
2 a + 9 = 3
Hint: | Isolate terms with a to the left hand side.
Subtract 9 from both sides:
2 a + (9 - 9) = 3 - 9
Hint: | Look for the difference of two identical terms.
9 - 9 = 0:
2 a = 3 - 9
Hint: | Evaluate 3 - 9.
3 - 9 = -6:
2 a = -6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 a = -6 by 2:
(2 a)/2 = (-6)/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
a = (-6)/2
Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.
The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:
Answer: a = -3
Solve for measure of angle a.
55°
a = [?]°
25° ат
Check the picture below.
t²-8t+16 can be factorized to give an expression of the form (t + a)², where a is an integer.
Work out the value of a.
Answer:
a = 4
Step-by-step explanation:
Step 1: Find two numbers that multiply to give 16 and add to give -8.
t²-8t+16 = 0
t² -4t -4t + 16 = 0
The two numbers are 4 and -4.
Step 2: Rewrite the equation in the form (t + 4)(t - 4).
t² - 8t + 16 = (t + 4)(t - 4)
Step 3: Factor the equation to get (t + 4)².
(t + 4)² = (t + 4)(t + 4)
Therefore, a = 4.
To learn more about factorization refer to:
https://brainly.com/question/25829061
#SPJ1
In the year 2015, New Jersey had 1,218 people per square mile. The land area of New Jersey is 7,354 square miles. What was the approximate population of New Jersey in 2015? In the year 2015 , New Jersey had 1,218 people per square mile . The land area of New Jersey is 7,354 square miles . What was the approximate population of New Jersey in 2015 ?
Answer:
8,957,172 people
Explanation:
Population = 1,218 people per square mile
Land area of New Jersey = 7,354 square miles
Total population:
people living in per square mile × total land area
1,218 × 7,354
8,957,172
Mr. Davis invested $8,000 in a savings account. The bank pays 4.5% annual compound
interest. Mr. Davis never withdrew nor deposited in the savings account. Which of the
following exponential graphs represents the money y that Mr. Davis has after x years
Answer:
Compound interest formula
\(\sf A=P(1+\frac{r}{n})^{nt}\)
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of times periods elapsedGiven:
A = yP = $8,000r = 4.5% = 0.045n = 1t = xSubstitute given values into the equation:
\(\implies y=8000(1+\frac{0.045}{1})^x\)
\(\implies y=8000(1.045)^x\)
So the graph will have a y-intercept of (0, 8000)
What is the measure of the missing angle?
36°
57°
Answer:
7767788877787887+-77-7
Bus A travels according to the function y = 125/2x where y is distance traveled in miles and x is time in hours. Bus B travels according to the graph below, where the distance y is a function of time x. Which bus travels faster. we Include all necessary calculations in your final answer.
Answer:
Bus B
Step-by-step explanation:
For both buses, the slope is the speed.
Bus A: y = 125/2 x
m = 125/2 = 62.5
Bus A travels at 62.5 mph
For Bus B, wee look at the graph.
When x = 3, y = 200.
m = 200/3 = 66.666...
Bus B travels at 66.7 mph
Answer: Bus B
y + y + y + y + ytytyty
Collect like terms
CAN SOMEONE HELPPP WITH 6 3/4 + 2 5/7 PLEASE
Answer:
9 13/28
Step-by-step explanation:
Add whole numbers
Change bottom number of fraction to common factor
add
figure out how much is leftover
done!
Answer: 9 13/28
Step-by-step explanation:
First turn your mixed numbers into improper fractions. 6 3/4 becomes 27/4 and 2 5/7 becomes 19/7. Now we need to make the denominators match. The least common multiple of 7 and 4 is 28. 27/4 becomes 189/28 and 19/7 becomes 76/28. We can now add these to get 265/28. This improper fraction can now be turned back into a mixed number. 28 will go into 265 evenly 9 times with 13 left over. Answer is 9 13/28
A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 90% of the time when the person has the virus and 15% of the time when the person does not have the virus. (This 15% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive." (a) Using Bayes' Theorem, when a person tests positive, determine the probability that the person is infected. (b) Using Bayes' Theorem, when a person tests negative, determine the probability that the person is not infected.
Answer:
a) P[A/B] = 0,019 or P[A/B] = 1,9 %
b) P[A- /B-] = 0,9996 or P[A- /B-] = 99,96 %
Step-by-step explanation:
Bayes Theorem :
P[A/B] = P(A) * P[B/A] / P(B)
The branches of events are as follows
Condition 1 real infection 1/300 and not infection 299/300
Then
1.- 1/300 299/300
When the test is done (virus present) 0,9 (+) 0,15 (-)
2.- 299/300
When the test is done ( no virus ) 0,15 (+) 0,85 (-)
Then:
P(A) = event person infected P(B) = person test positive
a) P[A/B] = P(A) * P[B/A] / P(B)
where P(A) = 1/300 = 0,0033 P[B/A] = 0,9
Then P(A) * P[B/A] = 0,0033*0,9 = 0,00297
P(B) is ( 1/300 )*0,9 + (299/300)*0,15
P(B) = 0,0033*0,9 + 0,9966*0,15 ⇒ P(B) = 0,1524
Finally
P[A/B] = 0,00297 /0,1524
P[A/B] = 0,019 or P[A/B] = 1,9 %
b) Following sames steps:
P[A- /B-] = (299/300) * 0,85 / (299/300) * 0,85 + (1/300 * 0,1)
P[A- /B-] = 0,8471 /0,8474
P[A- /B-] = 0,9996 or P[A- /B-] = 99,96 %
The headlights of an automobile are set such that the beam drops 3 in for each 32 ft in front of the car. What is the angle (give positive value) between the beam and the road in degrees ?
Answer:
0.4476 degrees.
Step-by-step explanation:
Let θ be the angle between the beam and the road. The given values form a right triangle with the distance that the beam drops ( h=3 in) being the side opposite to θ and the distance in front of the car (x=32 ft or x=384 in) being the side adjacent to θ.
Therefore, θ is given by:
\(tan^{-1}(\theta) = \frac{h}{x}\\tan^{-1}(\theta) = \frac{3}{384}\\ tan^{-1}(\theta) = \frac{1}{128}\\\theta=0.4476^o\)
The angle between the beam and the road is 0.4476 degrees.
Using the tangent, it is found that the angle between the beam and the road in degrees is of 359.55.
The tangent of an angle \(\alpha\) is given by vertical change divided by the horizontal change, that is:
\(\tan{\alpha} = \frac{\Delta_y}{\Delta_x}\)
In this problem, the beam drops 3 in for each 32 ft in front of the car, hence \(\Delta_y = -3, \Delta_x = 32(12) = 384\)
Then:
\(\tan{\alpha} = \frac{-3}{384}\)
\(\alpha = \tan^{-1}{\left(\frac{-3}{384}\right)}\)
Using a calculator:
\(\alpha = 359.55\)
The angle is of 359.55º.
A similar problem is given at https://brainly.com/question/24278338
10) Sarah is 3 years older than her sister Mary.
Together their ages add up to 23. How old is Mary?
Answer:
20
Step-by-step explanation:
20 - 3
Sarah is 3 years older so 23 is going to be subtracted.
Solve.
X = -7
4x - 4y = 12
(x,y)
Answer:
(-7, -10)
\(x=-7\\y=-10\)
Step-by-step explanation:
\(4x-4y=12\)
Substitute x for -7.
\(4(-7)-4y=12\)
Multiply 4 by -7.
\(-28-4y=12\)
Add 28 on both sides.
\(-4y=40\)
Divide -4 on both sides.
\(y=-10\)
Cheng and Amira buy an apartment for $36,000.
Cheng pays $12000 and Amira pays the rest.
Write the ratio of the amount they each pay, in its
simplest form.
b
Two years later they sell the apartment for $42000.
How much money should Amira get?
The ratio of the amount that Cheng and Amira paid is 1:2 respectively.
The amount earned by Amira when they sell the apartment is $28,000.
The given parameters:
Cost of the apartment = $36,000Amount paid by Cheng, y = $12,000Let the amount paid by Amira = x
Amount paid by AmiraThe amount paid by Amira is calculated as follows;
\(x+ y = 36,000\\\\ x + 12,000 = 36,000\\\\ x = 36,000 - 12,000\\\\ x = 24,000\)
The ratio of the amountsThe ratio of the amount each paid is calculated as follows;
\(\frac{y}{x} = \frac{12,000}{24,000} = \frac{1}{2} = 1:2\)
The amount earned by Amira when they sell the apartment is calculated as follows;
\(x_2 = \frac{2}{1+ 2} \times \$42,000\\\\ x_2 = \frac{2}{3} \times \$42,000 = \ \$28,000\)
Learn more about ratios and proportions here: https://brainly.com/question/13513438
Which measures are true for the quilt piece? select three options. a = 60° x = 3 in. the perimeter of the rhombus is 16 inches. the measure of the greater interior angle of the rhombus is 90°. the length of the longer diagonal is approximately 7 inches.
The measures that are true for the quilt piece include:
a=. = 60°The perimeter of the rhombus is 16 inches.The length of the longer diagonal is 7 inches.How to depict the information?The value of a will be:
= 90° - 30°
= 60°
The perimeter will be:
= 4 × 4
= 16 inches.
The length of the diagonal will be:
= 2 × 3.46
= 6.92 = 7
Learn more about perimeter on:
brainly.com/question/14476767
#SPJ1
GIVING BRAINLIST PLEASE HELP!!!
The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %
How to find the probability ?The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.
This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :
= Angle measure of red - shaped area / Total area x 100 %
= 165 / 360 x 100 %
=0. 45833 x 100 %
= 45. 833 %
Find out more on probability at https://brainly.com/question/22690728
#SPJ1
Uncle John has 30 lemon trees and 36 lime trees to plant on his grove. He would like to plant the trees in rows where each row has the same number of lemon trees and each row has the same number of lime trees. What is the greatest number of rows Uncle John can plant?
Answer:
6
Step-by-step explanation:
this question is basically asking you to find the HCF of 30 and 36
step 1 : draw prime factor tree diagrams and write the numbers out as the product if their prime factors
step 2: multiply the prime factors they have in common
30 = 2 x 3 x 5
36 = 2 x 2 x 3 x 3
HCF = 2 x 3 = 6
Answer: 6 rows of lemon trees and 6 rows of lime trees.
Steps: All you need to do is to find the highest common factor of 30 and 36, which is 6.
30 divided by 6 is 5 and 36 divided by 6 is 6. So uncle john can plant 5 lemon trees and 6 lime trees each row. That would make 6 rows of lemon trees and 6 rows of lime trees.
Brainliest pls if it is correct!
At an airport, 79% of recent flights have arrived on time. A sample of 7flights is studied. a.Compute the mean of this probability distribution. Round to two decimal places, if needed.b.Compute the standard deviation of this probability distribution. Round to two decimal places, if needed.c.Find the probability that exactly4of the flights were on time. Round to three decimal places.d.Find the probability that lessthan 4of the flights were on time. Round to three decimal places.e.Find the probability that more than 5of the flights were on time. Round to three decimal places. f.Find the probability that at least5of the flights were on time. Round to three decimal places.g.Find the probability that no more than 5of the flights were on time. Round to three decimal places
Answer:
a. 5.53
b. 1.078
c. 0.126
d. 0.109
e. 0.549
f. 0.834
g. 0.451
Step-by-step explanation:
The percentage of the flights that arrive on time, P(x) = 79%
The number of flights in the sample, n = 7 flights
a. The mean of the probability distribution, μ = ∑x·P(x)
Therefore, we have; μₓ = n·p
μₓ = 7 × 79/100 = 5.53
b. The standard deviation, σₓ = √(n·p·(1 - p))
∴ σₓ = √(7 × 0.79 × (1 - 0.79)) ≈ 1.078
c. We have;
p = 0.79
q = 1 - p = 1 - 0.79 = 0.21
By binomial probability distribution formula, we have;
The probability of exactly four, P(Exactly 4) = ₇C₄·p⁴·q³
P(Exactly 4) = 35 × 0.79⁴×0.21³ ≈ 0.12625
d. The probability of less than 4 is given as follows;
P(Less than 4) = ₇C₀·p⁰·q⁷ + ₇C₁·p¹·q⁶ + ₇C₂·p²·q⁵ + ₇C₃·p³·q⁴
∴ P(Less than 4) = 1×0.79^0 * 0.21^7 + 7 * 0.79^1 × 0.21^6 + 21*0.79^2*0.29^5+ 85×0.79^3*0.21^4 ≈ 0.109
The probability of less than 4 is ≈ 0.109
e. The probability that more than 5 is given as follows;
P(More than 5) = ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.549
f. The probability that at least 5 of the flight were on time is given as follows;
P(At least 5) = ₇C₅·p⁵·q² + ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
∴ P(At least 5) = 21×0.79^5 * 0.21^2 + 7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.834
g. For the probability that no more than 5 of the flights were on time, e have;
P(At most 5) = 1 - P(More than 5)
∴ P(At most 5) = 1 - 0.549 ≈ 0.451.
Plz help me well mark brainliest if correct!...
Answer:
The population will get smaller.
Step-by-step explanation:
If the food decreases, then the people won’t have anything to eat, and so some will die, thus resulting in a lower population.
I’ll give brainliest to whoever helps
Answer:
(1,4) (2,6) ,(3,8) and (4,10)
Step-by-step explanation:
order 9%, 0.03, 0.7% and 0.004 from least
to greatest
A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answer:
114.29
Step-by-step explanation:
6x+2 = 5x+18 PLS QUICKKKK
Answer:
16
Step-by-step explanation:
Equation : 6x+2=5x+18
Like Terms : x + 2 = 18
Like Terms Again : x = 16
Answer:
6x+2=5x+18
6x-5x=18-2
X=16
Step-by-step explanation:
First you need to group numbers of like terms in one side. Then when you take the other number to the other side of equal sign changes it's form eg +6 change to - 6
Determine the simple interest. Assume 360 days in a year.
p=$39, r=0.0625% per day, t=180 days.
The preceding statement suggests that simple interest equals $4.38
Simple interest: What is it?Simple annual interest of borrowing-related interest that is computed using only the initial principal and a constant interest rate. Compounding, in which borrowers wind up paying tax on principle plus interest that increases over a few of payment periods, is not a part of it. The original is multiplied by time, rate of return, and time period to determine simple interest.
Due to it,
P = $39
R = 0.0625%
T = 180 days
Now, Simple Interest = P*R*T/100
Simple Interest = 39 * 0.0625 * 180/100
Simple Interest = 2.92
Therefore, Simple Interest is $4.38
To know more about Simple Interest visit:
https://brainly.com/question/25793394
#SPJ1
3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.