Answer:
Jupiter to Sun = 7.688 * 10⁸km
Step-by-step explanation:
Given
Earth to Moon = 3.844 * 10⁵km
Jupiter to Sun = 2 * 10³ times Earth to Moon
Required
Determine the average distance from Earth to Moon
Jupiter to Sun = 2 * 10³ times Earth to Moon
Substitute 3.844 * 10⁵km for Earth to Moon
Jupiter to Sun = 2 * 10³ * 3.844 * 10⁵km
Collect Like Terms
Jupiter to Sun = 2 * 3.844 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10⁸km
Hence, option C answers the question
On her English test, Michelle answered 40 questions correctly, answered 5 questions incorrectly, and left 5 questions unanswered. What percentage of the test questions did Michelle answer incorrectly?
Answer:
10%
Step-by-step explanation:
40+5+5=50
50-5=45
45*2=90
50*2=100
100-90=10
Answer:80%
Step-by-step explanation:yes
PLLLLLLSSSSSS Help Will Mark Brainlest but must explain what you did in 20 minutes
The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time.
The price f(x), in dollars, of product A after x years is represented by the function below:
f(x) = 72(1.25)x
Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the price f(t), in dollars, of product B after t years:
t (number of years) 1 2 3 4
f(t) (price in dollars) 65 84.5 109.85 142.81
Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
Answer:
A) The price of product A is increasing by 3% per year.
(B) The product A recorded a greater percentage change in price over the previous year.
Step-by-step explanation:
(A)
The function representing the price, in dollars, of product A after x years is:
FA(x)=0.69*(1.03)x
The function FA(x)can be written as:
FA(x)=0.69*1+(0.03)x
The function FA(x) is similar to the exponential growth function, y=a(1+r)x .
Here r is the growth rate.
Thus, it can be said that the price of product A is increasing by 3% per year.
(B)
Consider the data of product B for the year 3 and 4.
The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.
Compute the percent price change from year 3 to 4 as follows:
10406.04-10303.01/10303.01*100
which is 0.999%
~1%
The price of product B is increasing by 1% per year.
Thus, the product A recorded a greater percentage change in price over the previous year.
Can someone please help me it’s urgent i dont get it
Answer:
afsdcfvvvcxsc
Step-by-step explanation:
Answer:
$23,205
Step-by-step explanation:
dk if it's right but thatts what I got
15%×$27,300 =$409,500
$409,500÷100=$4095
$27,300-$4095
=$23,205
dont trust me doe I might be wrong
What is g(f(1)) using the table?
Answer:
?
Step-by-step explanation:
can you explain it a little better?
Please answer this correctly without making mistakes
Answer: $200 off is the better option.
Step-by-step explanation: 200 is greater than half of 399.80.
Answer:
The purple coupon
Step-by-step explanation:
so its pretty straightforward
the 50% off of 399.80 is about 200 dollars becuase you can use basic estimation and we know half of 400 is 200 so about 200 dollars and a little less becuase of that 20 cents
The $200 off on a purchase $350 or more is better becuase since its Exactly $200 dollars off so Nancy would’ve saved more since $200 is greater than half of 399,80 which is 199.90.
5x+0(x+y)-3y+14-3(y-x)=
Answer please
Answer:
Simplifying
5x + 0(x + y) + -3y + 14 + -3(y + -1x) = 0
Anything times zero is zero.
5x + 0(x + y) + -3y + 14 + -3(y + -1x) = 0
Reorder the terms:
5x + 0 + -3y + 14 + -3(-1x + y) = 0
5x + 0 + -3y + 14 + (-1x * -3 + y * -3) = 0
5x + 0 + -3y + 14 + (3x + -3y) = 0
Reorder the terms:
0 + 14 + 5x + 3x + -3y + -3y = 0
Combine like terms: 0 + 14 = 14
14 + 5x + 3x + -3y + -3y = 0
Combine like terms: 5x + 3x = 8x
14 + 8x + -3y + -3y = 0
Combine like terms: -3y + -3y = -6y
14 + 8x + -6y = 0
Solving
14 + 8x + -6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + 8x + -14 + -6y = 0 + -14
Reorder the terms:
14 + -14 + 8x + -6y = 0 + -14
Combine like terms: 14 + -14 = 0
0 + 8x + -6y = 0 + -14
8x + -6y = 0 + -14
Combine like terms: 0 + -14 = -14
8x + -6y = -14
Add '6y' to each side of the equation.
8x + -6y + 6y = -14 + 6y
Combine like terms: -6y + 6y = 0
8x + 0 = -14 + 6y
8x = -14 + 6y
Divide each side by '8'.
x = -1.75 + 0.75y
Simplifying
x = -1.75 + 0.75y
Step-by-step explanation:
I'm not sure if the graph or equation answers your question or not sorry if I did it wrong.
What would be an overestimate and an underestimate for 503
A teacher selects a student at random from his class of 20 students every week for 20 consecutive weeks. There are 8 girls and 12 boys in the class. What is the probability that there are exactly 12 weeks in which a girl is selected
Answer:
The value is [tex]P(X = 12) = 0.0356 [/tex]
Step-by-step explanation:
From the question we are told that
The number of boys in the class is [tex]b = 12[/tex]
The number of girls in the class is [tex]g = 8[/tex]
The total number of students is is n = 20
The number of weeks is N = 20
The probability of selecting a girl is mathematically represented as
[tex]p = \frac{8}{20}[/tex]
=> [tex]p = 0.4[/tex]
The probability of not selecting a girl is mathematically represented as
[tex]q = 1- \frac{8}{20}[/tex]
=> [tex]q =0.6[/tex]
Generally the selection of students from the class follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{N}C_x * p^x * (q)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that there are exactly 12 weeks in which a girl is selected is mathematically represented as
[tex]P(X = 12) = ^{20}C_{12} * 0.4^{12} * (0.6)^{20-12}[/tex]
[tex]P(X = 12) = 125970 * [1.678*10^{-5}]* 0.016796 [/tex]
=> [tex]P(X = 12) = 0.0356 [/tex]
Which graph has a slope of 4/5?
Answer:
B
Step-by-step explanation:
It goes rise over run. So it goes up four squares and to the right five squares.
Answer:
B
Step-by-step explanation:
Please heeeeeeeeeeeeeeeeeeeeeeeeeelp
help!!!!!!!!!!!!!!!!!!
Answer:
E
Step-by-step explanation:
it's the correct answer I'm sure of
Select each equation that the number 103 makes true.
A. 6.01 x __ = 601
B. 0.305 x __ = 305
C. 0.54 x __ = 540
D. 0.097 x __ = 970
E. 0.97 x __ = 97
Answer:
its would be a
Step-by-step explanation:
-1/2 (30x + 16) Help Please!
A. -27x - 7
B. -15x - 8
C. -18x - 9
Answer:
A -(27x + 7)
B -(15x + 8 )
C -9(2x + 1 )
Step-by-step explanation:
-1/2 (30x + 16) = -15x-8
How 5+8 is equal to 7 ?
5 + 8 is not equal to 7
Because 5 + 8 = 13
Answer:
Because you add up and count
Step-by-step explanation:
When you take specific number and add it another, that would be adding. first of all you need to say 8 first, because its a bigger number 8+5=13 then you subtract it by 6
8 + 5 - 6= 7
For the function f(x)=13x, as x gets bigger, does f(x) increase or decrease?
Answer:
decrease
Step-by-step explanation:
i got it right on prepworks
Hope this helped!
Stay safe! <3
John is standing on a set of bleachers and throws a baseball into the air. the baseball lands on the field. the height of the ball, in meters, is modeled by the function shown in the graph. what's the average rate of change of the height of the ball from the point when John throws it to its maximum height?
Answer:
2 m/s
Step-by-step explanation:
Given the graph of the baseball thrown into air.
John throws the baseball into the air from a given height and then the baseball reaches a maximum height and then comes back to ground.
The height of the baseball (in metres) is modeled by the function graph with respect to time.
To find:
The average rate of change of height of the ball from the point the ball is thrown to the maximum height.
Solution:
Here, the average rate of change can be found by dividing the distance between the two points with the change in time.
The starting time is 0 seconds.
The starting height is 3 metres.
The ending time is 2 seconds i.e. at which the ball reaches the maximum height.
The height is 7 metres.
Therefore, the average rate of change is:
[tex]\dfrac{\text{Change in height}}{\text{Change in time}}\\\Rightarrow \dfrac{7-3}{2-0}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow 2\ m/s[/tex]
Answer:
2 meters per second
Step-by-step explanation: I took the test
Find the perimeter. Length: 8.5 cm Width: 21.7 cm
Answer:
60.4
Step-by-step explanation:
Add the length and width together twice to get the perimeter.
Slope= -1 and passes through (8,5) write in y=mx+b form
the equations y= 3/5x + 2 and y= 1/3x + 2 represent the flight paths of two diffrent airplanes mapped out on the coordinate plane . Graph the point at which they will fly over each other.
Answer:
There is no answer for this question.
Step-by-step explanation:
Since 3/5x+2 not equal to 1/3x+2, so, no answer
Question 2
How much should you invest at 3.8% simple interest in order to earn $85 interest in 19 months?
Answer:
gggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
Suppose that you want to estimate the proportion of students at your college that attend at least one of the college's sports events. Which sampling plan will produce the most reliable results?
A. Select 50 students at random from the college.
B. Select 100 students at random from students attending one of the college's football games.
C. Select 200 students at random from the list of student athletes.
D. Select 300 students who purchase tickets to at least one of the college's sports events. . .
Answer:
" select 50 students at random from the college." is more reliable
Option A) is the correct answer
Step-by-step explanation:
Since we are interested in the proportion of students at your college that attend at least one of the college sports .
we need to get the random sample of the college students and then ask them if they attended at least one sports events to get the required proportion, therefore
sampling plan that will produce the most reliable results will be; to
" select 50 students at random from the college." is more reliable
Option A) is the correct answer
Your brother is 1/3 your age your sister is 4 years older than your brother your sister is 9 years old write and solve an equation to find your age a
Please give equation and age :)
PLEASE HELP!!
adding and subtracting complex numbers
1-) (12-3i)+(7+3i)
2-). (12+4i)-(3-7i)
Step-by-step explanation:
1) 19+i
2) 9-3i
hope this helps bro
Answer:
1. 19
2. 9 + 11i
Step-by-step explanation:
first problem:
first, we rewrite it and remove the parentheses.
12 - 3i + 7 + 3i
then, just remove the opposites and calculate.
19
second problem:
again, we rewrite and remove the parentheses.
12 + 4i - 3 + 7i
then, we calculate and collect like terms.
9 + 11i
What is 100 x 3567 will be given brainliest to the first one!!!!!!!!!!
Answer:
356700
Step-by-step explanation:
By calculation using calculator
round 123.1867 to the nearest thousandth
Answer:
123 is the nearest value
Plz help me
Answer this plz:
Answer:
sss
Step-by-step explanation:
Two coins, A and B, each have a side for heads and a side for tails. When coin A is tossed, the probability it will land tails-side up is 0.5. When coin B is tossed, the probability it will land tails-side up is 0.8. Both coins will be tossed 20 times. Let A represent the proportion of times coin A lands tails-side up, and let PB represent the proportion of times coin B lands tails-side up. Is the number of fosses for each coin enough for the sampling distribution of the difference in sample proportions PA-PB to be approximately normal?
a. Yes, 20 tosses for each coin is enough.
b. No, 20 tosses for coin A is enough, but 20 tosses for coin B is not enough.
c. No, 20 tosses for coin A is not enough, but 20 tosses for coin B is enough.
d. No, 20 tosses is not enough for either coin.
e. There is not enough information given to determine it 20 tosses is enough.
Answer:
Is the number of tosses for each coin enough for the sampling distribution of the difference in sample proportions PA-PB to be approximately normal?
b. No, 20 tosses for coin A is enough, but 20 tosses for coin B is not enough.
Step-by-step explanation:
a) Data and Calculations:
The probability of coin A landing tails-side up (PA) = 0.5
Therefore, the probability of coin A landing heads-side up = 0.5 (1 - 0.5)
This is why 20 tosses for coin A is enough, since the sample proportions PA is approximately normal, symmetric, and equally distributed. There will be equal amounts of 10 tosses (0.5 *20) for either heads-side up or tails-side up.
For coin B, the probability of landing tails-side up (PB) = 0.8
Therefore, the probability of coin B landing heads-side up = 0.2 (1 - 0-.8)
This is why 20 tosses for coin B is not enough, since the sample proportions PB is not approximately normal, symmetric, and equally distributed. There will be 16 tosses landing tails-side up (0.8*20) and only 4 tosses landing heads-side up (0.2*20).
Linear functions can always be expressed by the form f(x) = mx + b.
Select one:
True
False
100 points HELP PLEASE!!!
It doesn't show?????
An insurance company sells one-fourth as many preferred policies as standard policies and one-fourth as many ultra-preferred policies as preferred policies. All policies are classified as standard, preferred, or ultra-preferred. Calculate the probability that a randomly selected policy is ultra-preferred.
Answer:
4.7619%
Step-by-step explanation:
Let's suppose the insurance company sells 16 standard policies.
For every 16 standard policies sold, the company sells 1/4 x 16, or 4, preferred policies.
For every 4 preferred policies sold, the company sells 1/4 x 4, or 1, ultra-preferred policy.
Therefore, for every ultra-preferred policy sold, the company sells:
16+4+1=21 total policies
So the probability of any 1 random policy selected being ultra-preferred is 1/21, or 4.7619% ....................
