Let the cost of the bicycle be $x
Since Briana needs $73 more, the present amount of money she has will be $(x-73)
Since Molly needs $65 more, the present amount of money she has will be $(x-65)
Now, combining what they have now, they will be able to buy just one bicycle
This means that;
x - 73 + x -65 = x
2x - 138 = x
2x - x = 138
x = $138
The cost of the bicycle is $138
a study was conducted that resulted in the following relative frequency histogram. determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable.
If the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.
What is Histogram?Histogram a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
Given is relative frequency histogram.
The histogram is not given, so will discussion the property that tells whether the histogram indicates a normal distribution or not.If the bars roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.Therefore, if the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.
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A cereal box says that now it contains 20% more. Originally, it came with 18.5 ounces of cereal. How much cereal does the box come with now? Explain your reasoning.
Percentages can be expressed as decimals. Percentage of something can be found by multiplying the number by the decimal.
20% = 0.20
20%(18.5)
0.20(18.5)
3.7
Since this is a 20% increase, we will add this to the original value.
18.5 + 3.7 = 22.2
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 3,910 ÷ 25?
2,500
25
250
25,000
Answer:
250
Step-by-step explanation:
Which expression can go in the blank to make this equation true
-4.5 + 4.4 + ? = 0
Answer:
+ 0.1
Step-by-step explanation:
So, first, we will add together -4.5 + 4.4, which equals -0.1. Then, we need to add the positive value of that to make it 0, so we add 0.1. I Hope This Helps :)
-2a-6a-9=-9-6a-2a
help please g
Answer:
the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Step-by-step explanation:
To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:
Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.
Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.
Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).
In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Two pieces of equipment were purchased for a total of $2000. If one piece cost $810 more than the other, find the price of the less expensive piece of equipment.
Answer:
595.
Step-by-step explanation:
Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.
1st Piece of Equipment = $595
2nd Piece of Equipment = $1,405
2nd Piece is $810 more expensive and the two pieces combined is $2,000.
Hubble's constant H is about 70 km/sec per megaparsec. (The prefix "mega" means million.) Convert this value for Hubble's constant to km/s/million LY. Hint: -A parsec is 3.26 light-years, and therefore a megaparsec is 3.26 million LY. If you take the given value of the Hubble constant (namely, 70 km/s per megaparsec) and replace the megaparsec with 3.26 million LY, then you will have converted to the desired units.
Hubble's constant in units of km/s/million LY is approximately 21.47.
what is approximately ?
Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.
In the given question,
To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:
1 Mpc = 3.26 million LY
Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:
1 Mpc / 3.26 million LY
Multiplying Hubble's constant by this conversion factor gives:
H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY
Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.
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Which relation is also a function?
A
B
C
D
Answer:
C
Step-by-step explanation:
Does Anyone know how to do this It’s very difficult for me
Answer: D
Step-by-step explanation: y int is when x=0, thus when there are no chirps.
Y=(1/6)x + 50
put in 0
Y=(1/6)*0 + 50
Y=50
Slope is the rate at which x changes, in this case, 1/6
Ike's kitten Stripe eats ¼ can of cat food daily. His cat Jack eats ½ can of food per day. Cat food costs $0.50 per can. How many cans will Ike need to feed both of his cats for 5 days? 21 days? 60 days? How much will it cost?
Answer: in 5 days they would eat 3 3/4 cans of cat food which costs 1.875 USD. in 21 days they would eat 15.75 cans of cat food which costs 7.875 USD. In 60 days they would eat 45 cans of cat food which costs $22.50.
April buys soil for her flowerpots. she uses 9 kilograms of soil for her violets and 4 kilograms of soil for her tulips. she has 3,000 grams of soil left for some daisies (1 kilogram = 1,000 grams) use the drop down menus to show how much soil she bought
April bought 16 kilograms of soil in total.
To show how much soil April bought
We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.
April bought:
9 kilograms of soil for violets
4 kilograms of soil for tulips
3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)
Therefore, April bought 16 kilograms of soil in total.
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The dot plot shows the number of goals a hockey team scored in their last 11 games.
Answer:
what is the question
Step-by-step explanation:
I need a question
Answer:
Hello the answer is 15
Step-by-step explanation:
give me brainliest please
I will give thanks and five stars to the person that helps me.
Answer:
last option is the answer
Step-by-step explanation:
x-10<=-13
x<=-3
so
last option is the correct answer.
Answer:
4th option
Step-by-step explanation:
x-10<=-13
x<= -13+10
x<= -3
-3 is inclusive so you can't put a hole there.
The marked price of a pair of pants is $100. If VAT of 15% is payable, then the price paid by the customer is
Answer:
$115
Step-by-step explanation:
VAT = 15% of marked price
= 0.15 * 100
= $ 15
Price paid by the customer = 100 + 15
= $ 115
A radioactive compound with mass 260 grams decays at a rate of 3.8% per hour. Which equation represents how many grams of the compound will remain after 8 hours?
Approximately 138.3 grams of the compound will remain after 8 hours. The decay of a radioactive compound is an exponential process, which can be modeled by the equation:
N(t) = N₀ * e^(-λt)
where N(t) is the amount of the compound remaining at time t, N₀ is the initial amount of the compound, λ is the decay constant, and e is the mathematical constant known as Euler's number.
To find the amount of the compound remaining after 8 hours, we need to plug in the given values into the equation above. We know that the initial mass of the compound is 260 grams, and the decay rate is 3.8% per hour, which means that the decay constant λ is equal to 0.038. Therefore, the equation becomes:
N(8) = 260 * e^(-0.038 * 8)
Simplifying this equation gives:
N(8) = 260 * e^(-0.304)
N(8) ≈ 138.3 grams
Therefore, approximately 138.3 grams of the compound will remain after 8 hours.
It's important to note that this calculation assumes that the decay rate remains constant over time, which may not always be the case in reality. Additionally, the actual amount of the compound remaining may vary due to experimental error or other factors.
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Find the missing side or angle.
Round to the nearest tenth.
C=53°
B= 80°
a=2
b=[?]
Answer:
2.69 approximately 3
Step-by-step explanation:
53⁰+80⁰+A=180⁰(sum of angles on a triangle)
133⁰+A=180
A=180-133
A=47⁰
using sine rule
2/sin 47 = b/sin 80
b sin47 = 2 sin 80
b= 1.9696/0.7314
b=2.69 approximately 3
Write an equation of the line (4,3) and (9,-2)
Answer:
y= -x + 7
Step-by-step explanation:
to get the equation of a line is y=mx+b
the slope, m, would be calculated (y1-y2)/(x1-x2)
thus we would substitute in (3--2)/(4-9)
which simplifies to 5/-5
or -1
now we know that m= -1
to solve for b we have to put the equation into point-slope form which is
y-y1= m(x-x1)
this would be y-3 = -(x-4)
y-3 = -x+4
y= -x+7
What value of x makes this equation true? x/4 = 44
Answer:
176
Step-by-step explanation:
Reduce a
to lowest terms.
[?]72/81
Answer:
8/9
Hope it helps :)
Answer:
\( \frac{8}{9} \)
Step-by-step explanation:
1) divide the numerator and denominator by 9\( \frac{72 \div 9}{81 \div 9} \)
2) divide the numbers\( \frac{8}{9} \)
Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuade his customers that he is right, the baker decides to do a hypothesis test. He bakes 10 loaves of bread. The mean height of the sample loaves is 17 cm with a sample standard deviation of 1.9 cm. The heights of all bread loaves are assumed to be normally distributed. The baker is now interested in obtaining a 95% confidence interval for the true mean height of his loaves. What is the lower bound to this confidence interval? 2 cm (round to 2 decimal places) What is the upper bound to this confidence interval? cm (round to 2 decimal places) For the following situations, use RStudio to find the appropriate t-critical values that would be needed to construct a confidence interval. Round all critical values to the second decimal place. 1. n = 15, confidence level is 95%, x= 35 and s = 2.7, t-critical value- 2, n = 37, confidence level is 99%, x= 82 and s = 5.9 t-critical value- 2 3, n 1009, confidence level is 90%, x 0.9 and s-0.04 t- critical value = 2 2
The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm
To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.
The formula for a confidence interval for the population mean (μ) is:
Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))
For the first situation:
n = 15
Confidence level is 95% (which corresponds to an alpha level of 0.05)
x = 35 (sample mean)
s = 2.7 (sample standard deviation)
Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.
The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.
Plugging the values into the formula:
Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))
Calculating the confidence interval:
Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)
Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.
For the second situation:
n = 37
Confidence level is 99% (which corresponds to an alpha level of 0.01)
x = 82 (sample mean)
s = 5.9 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.
The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.
Plugging the values into the formula:
Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))
Calculating the confidence interval:
Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)
Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.
For the third situation:
n = 1009
Confidence level is 90% (which corresponds to an alpha level of 0.10)
x = 0.9 (sample mean)
s = 0.04 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.
The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.
Plugging the values into the formula:
Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))
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Help!!! what is the pattern and what is the next number 3,-9,27,-81,?
Answer:
243.
Step-by-step explanation:
they are multiplying by -3.
3x(-3)= -9
-9x(-3)= 27
27x(-3)= -81
so you would do -81x(-3) which equals 243.
Bob has $24 more than twice as much as Susie,
Together they have $150.
using the equations created in
Answer:
150
Step-by-step explanation:
To solve this problem, first start setting up the equation.
Start with bob first - this is the easiest. Let x = bob
To get the part for susie - he has $24 more than twice the amount of bob, so his part of the equation would be set up as: 2x + 24
Combine these parts:
x + (2x + 24)
Combined they have $150, so you would set the equation above equal to 150
x + (2x + 24) = 150
Combine like terms:
3x + 24 = 150
Solve the equation for x
3x + 24 = 150
- 24 -24
3x = 126 isolate x by itself on one side of the equation
divide both sides by 3 to get x by itself
3x = 126
3 3
x = 42
Now that you have solved for x, you know the amount that bob has... $42
With this information you can substitute 42 for x in the equation that was created for susie
2x + 24 would now by (2*42) + 24 which is $108
So, the amount that bob has is $42 and susie has $108
You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)
Hope this helps!!!
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
NEED IN 2 MINUTES An isosceles trapezoid has a perimeter of 15.6 feet. Its shorter base measures 1 foot and its longer base measures 3.8 feet. The two remaining sides have the same length; what is that length?
Answer: 5.4
Step-by-step explanation:
First, start with adding the two given sides, then take that sum and subtract it from the perimeter, then after that, divide by two
1 + 3.8= 4.8
15.6 - 4.8=10.8
10.8 / 2 = 5.4
Select all of the following tables which represent y as a function of and are one-to-
one.
Answer:
Option 3
Step-by-step explanation:
Each value of x maps onto one value of y and vice versa.
Evaluate 12 ➗(0.9 -0.04
Answer:
13.9534883721
Step-by-step explanation:
12/(0.9-0.04)=12/0.86=13.9534883721
Find the perioa
equation.
llowing
y = 2 cos(5x + 3) - 6
77
Period = [2]T
Give your answer in simplest form.
Answer:
In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.
The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.
The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.
So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:
T = 2π / 5
This is the simplest form for the period of the given function.
3. There were 425 people at the Lincoln
County High School football game last
week. This week, 357 people attended
the game. What was the percent decrease
in attendance?
Answer:
there is a 16% percent decrease
Step-by-step explanation:
percent of change = (new value - original value) ÷ original value
= (357 - 425) / 425
= -68/425
= -0.16
there is a 16% percent decrease
A rectangle has an area of 18 square centimeters.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
B
C
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
4 cm and 5 cm
Answer:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
Step-by-step explanation:
We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
A video game system and several games are sold for 504$ . The cost of the game is 3 times as much as the cost of the system . Find the cost of the system and the cost of the games
We get the cost of the system and cost of the games as $126 and $378 respectively.
Given, the price of the video game and several games are sold for $504.
The cost of the game is 3 times as much as the cost of the system.
we need to determine the cost of the system and the cost of the game = ?
Let x = the cost of the games.
Let y = the cost of the system.
therefore, x+y=504
and y = 3x
substitute the value of y.
⇒ x + y = 504
⇒ x + 3x = 504
combine like terms.
⇒ 4x = 504
Divide both sides by 4.
⇒ x = 504/4
⇒ x = 126
The cost of the system is $126.
Use y = 3x substituting 126 for x.
g = 3(126)
g = 378
The cost of the games is $378.
Hence we get the cost of the system and cost of the games as $126 and $378 respectively.
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