18.
(01.04 MC)
What is 83,734.21 written in expanded form?
8 x 10,000 + 3 x 1,000 + 7 x 100 + 2 x 0.1 + 1 x 0.01
8 x 10,000 + 3 x 1,000 + 7 x 100 + 4 x 10 + 3 x 1 + 1 x 0.1 + 2 x 0.01
8 x 10,000 + 3 x 1,000 + 7 x 100 + 3 x 10 + 4 x 1 + 2 x 0.1 + 1 x 0.01
8 x 100,000 + 2 x 10,000 + 7 x 1,000 + 3 x 100 + 4 x 10 + 3 x 0.1 + 1 x 0.01
Answer:
(C) 8 x 10,000 + 3 x 1,000 + 7 x 100 + 3 x 10 + 4 x 1 + 2 x 0.1 + 1 x 0.01
Step-by-step explanation:
8 x 10,000 + 3 x 1,000 + 7 x 100 + 3 x 10 + 4 x 1 + 2 x 0.1 + 1 x 0.01=
80,000 + 3,000 + 700 + 30 + 4 + 0.2 + 0.01=
83,734.21.
I hope this helps!
What is equivalent to 16a + 20
Answer: [tex]16a + 20[/tex]
Step 1: Combine Like Terms.
We have no Like Terms here, so we will leave the equation how it is.
If we leave the equation how it is, we still get [tex]16a + 20[/tex].
Therefore, our answer is still 16a + 20
PLZZZZ HELPPP I NEED ANSWERS!!!
the bottom one is x2 ....
Solve for x and then determine the measure of the exterior angle.
Answer:
B
Step-by-step explanation:
This is a straight line which the interior and exterior angle, so they both must add up to 180 degrees.
180 - 60 = 120
120 = 4x + 20
100 = 4x
25 = x
Do you agree with Amur? Explain why.
A person invested $680 in an account growing at a rate allowing the money to double every 13 years. How much money would be in the account after 27 years, to the nearest dollar?
Answer:2869
I kno :)
STUV is a parallelogram. Solve for x.
Question 2 options:
A) 10
B) 16
C) 12
D) 70
Answer:
X = 10
Step-by-step explanation:
According to the property of parallelogram
We know that, sum of angles at a same line is
180°
[tex]35 + (14x + 5) = 180[/tex]
[tex]40 + 14x = 180[/tex]
[tex]14x = 140[/tex]
[tex]x = \frac{140}{14} [/tex]
[tex]x = 10[/tex]
Hope this helps u... ^_^❤️
The equation 3s=21 can be used to find the number of students s in each can on a field trip. How Many students are in each Van? Please Hlep Me With This ASAP
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 80% of the cases. Suppose the 13 cases reported today are representative of all complaints.
Required:
a. How many of the problems would you expect to be resolved today? What is the standard deviation?
b. What is the probability 10 of the problems can be resolved today?
c. What is the probability 10 or 11 of the problems can be resolved today?
d. What is the probability more than 10 of the problems can be resolved today?
Answer:
a. 10.4 problems are expected to be resolved today, with a standard deviation of 1.44 problems.
b. 0.2457 = 24.57% probability 10 of the problems can be resolved today
c. 0.5137 = 51.37% probability 10 or 11 of the problems can be resolved today
d. 0.5017 = 50.17% probability more than 10 of the problems can be resolved today
Step-by-step explanation:
For each case, there are only two possible outcomes. Either they are solved, or they are not. Cases are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
It can resolve customer problems the same day they are reported in 80% of the cases.
This means that [tex]p = 0.8[/tex]
Sample of 13 cases:
This means that [tex]n = 13[/tex]
a. How many of the problems would you expect to be resolved today? What is the standard deviation?
Expected:
[tex]E(X) = np = 13*0.8 = 10.4[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{13*0.8*0.2} = 1.44[/tex]
10.4 problems are expected to be resolved today, with a standard deviation of 1.44 problems.
b. What is the probability 10 of the problems can be resolved today?
This is [tex]P(X = 10)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{13,10}.(0.8)^{10}.(0.2)^{3} = 0.2457[/tex]
0.2457 = 24.57% probability 10 of the problems can be resolved today.
c. What is the probability 10 or 11 of the problems can be resolved today?
This is [tex]p = P(X = 10) + P(X = 11)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{13,10}.(0.8)^{10}.(0.2)^{3} = 0.2457[/tex]
[tex]P(X = 11) = C_{13,11}.(0.8)^{11}.(0.2)^{2} = 0.2680[/tex]
[tex]p = P(X = 10) + P(X = 11) = 0.2457 + 0.2680 = 0.5137[/tex]
0.5137 = 51.37% probability 10 or 11 of the problems can be resolved today.
d. What is the probability more than 10 of the problems can be resolved today?
This is
[tex]P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 11) = C_{13,11}.(0.8)^{11}.(0.2)^{2} = 0.2680[/tex]
[tex]P(X = 12) = C_{13,12}.(0.8)^{12}.(0.2)^{1} = 0.1787[/tex]
[tex]P(X = 13) = C_{13,13}.(0.8)^{13}.(0.2)^{0} = 0.0550[/tex]
[tex]P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) = 0.2680 + 0.1787 + 0.0550 = 0.5017[/tex]
0.5017 = 50.17% probability more than 10 of the problems can be resolved today
ABCD is a rhombus, where m∠AED = 5x – 10. Use the properties of a rhombus to determine the value of x.
Question 6 options:
A) x = 16
B) x = 20
C) x = 5
D) x = –2
Answer:
Option b
Step-by-step explanation:
According to the property of rhombus at Centre it have 90°
So,
[tex](5x - 10) {}^{o} = 90 {}^{o} [/tex]
[tex]5x = 90 + 10[/tex]
[tex]5x = 100[/tex]
[tex]x = \frac{100}{5} [/tex]
[tex]x = 20[/tex]
Hope this helps u ^_^
17 = 9 + 2r
r = what
Answer:
r = 4
Step-by-step explanation:
17 = 9 + 2r subtract both sides by 9
8 = 2r divide both sides by 2
4 = r
Answer:
r=4
Step-by-step explanation:
You have to get r on one side so you subtract nine on both sides to get rid of it so 8=2r
then you divide 2 m both sides and r=4
The function f(x) = –0.5x2 + 16x – 96 can be used to trace the path of a rocket, where the x-axis represents the ground and the y-axis measures the height of the rocket. The mathematical domain of the function is all real numbers.
The reasonable domain of the function is when 8 ≤ x ≤ x greater than or equal to eight but less than or equal to what value?
Answer:
24
Step-by-step explanation:
Put it in Desmos, and it’ll show you
The reasonable domain of the function is 8 ≤ x ≤ 24.7.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -0.5x² + 16x – 96
The function represents the height of a rocket as a function of its horizontal position.
It is reasonable to assume that the rocket is launched from the ground
(x = 0) and that it has some minimum height (above ground level) before it is launched.
Now,
We can find this minimum height by finding the vertex of the parabola, which is given by.
x = -b / (2a)
where a = -0.5 and b = 16.
Plugging in these values, we get.
x = -16 / (2(-0.5))
x = 16
Now,
The vertex occurs at x = 16.
To find the minimum height, we can plug this value into the function.
f(16) = -0.5(16)² + 16(16) - 96
= 128
Therefore,
The rocket has a minimum height of 128 feet above ground level before it is launched.
To find the reasonable domain of the function.
Since the rocket is launched from the ground at x = 0 and has a minimum height of 128 feet, it is reasonable to assume that the rocket will remain above ground level for all values of x greater than or equal to 8, since the rocket must clear a height of 128 feet by the time it reaches x = 8.
Now,
We can find the x-value where the rocket reaches ground level
(i.e., its height is zero) by setting f(x) = 0.
Solving for x.
-0.5x² + 16x - 96 = 0
Using the quadratic formula.
x = ( -16 ± √(16² - 4(-0.5)(-96)) ) / (2(-0.5))
x = ( -16 ± √(1216) ) / (-1)
x ≈ 24.7 or x ≈ 7.3
Since the rocket is launched from the ground at x = 0, it is not reasonable to consider values of x less than 0.
Therefore,
The reasonable domain of the function is 8 ≤ x ≤ 24.7
This means,
The rocket will remain above ground level for all values of x between 8 and approximately 24.7.
Thus,
The reasonable domain of the function is 8 ≤ x ≤ 24.7.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
make b the subject of the formula a=squareroot of b+16
Step-by-step explanation:
a=
[tex] a = \sqrt{b + 16} \\ a { }^{2} = b + 16 \\ b = a {}^{2} - 16[/tex]
on sale, boxes of cereal cost $11 for 4 boxes, $24.75 for 9 boxes, and $33 for 12 boxes. Predict the cost of twelve boxes.
Answer:
omg this is so eaasy like u need tia tammera
Step-by-step explanation:
Answer:
$33(the answer is $33)
1/4x+2=-4 how do you do this step by step?
Answer:
6.25 is the answer, I really dfon't know how to figure out which would be the procedure becuase I'm a little oxidated
The travel-to-work time for residents in Ventura County is unknown. Assume the population variance is 39. How large should a sample be if the margin of error is 1 minute for a 93% confidence interval
Answer:
A sample size of 128 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.93}{2} = 0.035[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.035 = 0.965[/tex], so [tex]z = 1.81[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population(square root of the variance) and n is the size of the sample.
How large should a sample be if the margin of error is 1 minute for a 93% confidence interval
We need a sample size of n, which is found when [tex]M = 1[/tex]. We have that [tex]\sigma = \sqrt{39}[/tex]. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.81*\frac{\sqrt{39}}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.81\sqrt{39}[/tex]
[tex](\sqrt{n})^2 = (1.81\sqrt{39})^2[/tex]
[tex]n = 127.8[/tex]
Rounding up
A sample size of 128 is needed.
-2y + 6 = -12
what is y?
Answer:
y=3
Step-by-step explanation:
-12+6=-6
-6/-2=3
Multiple Choice
Find the area of the trapezoid,
14 mm
15 mm
36 mm
O A. 270 mm?
<
OB. 375 mm
O C. 750 mm
O D. 3780 mm?
PLEASE HELP
Answer:
The answer is B
Step-by-step explanation:
The formal is A = a+b/2 time h
You just substitute the variables and get the answer
Shelby keeps all her vacation pictures in 2 photo albums. One of the photo albums is 2/3 full and the other is 5/6 full. How much of the photo albums are full?
Answer: 1 1/2
Step-by-step explanation:
In 2000 The average cost of a world series ticket was $450. This is $180 more than the cost of a 2007 ticket how much was a ticket in 2007
Answer:
A ticket would be $270 in 2007
what transformation of f(x) will result in g(x) ?
Answer:
Vertical stretch across the y-axis, reflection across the x-axis, horizontal shift 2 units to the left, and vertical shift 1 unit down
first ral correct answer gets brainliest
What expression is equivalent to (-18) - 64n?
Answer:-2(9+32n)
Step-by-step explanation:
Is 5x-1=9 always, sometimes, or never true? And why?
Answer:
never
Step-by-step explanation:
HELPPP look at the figure.
What is the slope of the graph?
Answer:
-5
Step-by-step explanation:
becuses look at where the slope intersecs the y axis. Its -5
EZ
Answer:
its
3.6
Step-by-step explanation:
trust me
Find the components of the vector v with initial point P and terminal point Q. Find the unit vector u in the direction of v.
a. P: (1,1,0), Q: (6,2,0)
b. P: (1,1,1), Q: (2,2,0)
Answer:
Step-by-step explanation:
v=Q-P
v=(5,1,0)
u=v/(magnitude of v)=(5,1,0)/(\sqrt{5^2+1^2+0^2)
u=(5/5.09,1/5.09,0)
v=Q-P
v=(1,1,0)
u=v/(magnitude of v)=(1,1,0)/(\sqrt{1^2+1^2+0^2)
u=(1/[tex]\sqrt{2}[/tex],1/[tex]\sqrt{2}[/tex],0)
An auditorium is designed in such a manner that an additional seat is added to each row. If the theater has 46 rows and the last row contains 56 seats, then how many people could be seated in the auditorium?
Answer:
Step-by-step explanation:
Given that they give us how many seats are in the last row we know that each row contains 56 seats and we have 46 rows. If you multiply 56 by 46 you get 2,576. If a seat is added to each row there are 46 seats you must add to 2,576. This will make your answer 2,622
Suppose that a leatherback turtle swam 7.5 kilometers in 3 hours at a constant speed. At this rate, how long would it take the turtle to swim 10 kilometers ? How many kilometers per hour did the turtle swim? Explain
Answer: It would take the turtle a total of 4 hours to swim 10 kilometers
Step-by-step explanation:
3 × 10 = 30
30 ÷ 7.5 = 4
What is the value of g?
580
g
Your answer
Answer:
32 degrees
Step-by-step explanation:
The total angle formed is 90 degrees because there is a right angle.
So, 90 - 58 = g
32 degrees = g
Find AC. PLEASE HELP!
Answer: Hello! My guess would be 7. Sorry, if I'm wrong.
Step-by-step explanation: Count the jumps between A and C.
2,640/k=11 what is the value of k
Answer:
240
Step-by-step explain
so
k = 2640/11 = 240
2640/240 = 11