Answer:
it should be 2400 dimes and 1000 nickels.
2400×.10=240
1000×.05=50
240+50=290
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Lisa purchased a prepaid phone card for $30. Long distance calls cost 6 cents a minute using this card. Lisa used her card only once to make a long distance call. If the remaining credit on her card is $27.84, how many minutes did her call last?
Answer:
My answer is 27.48 minutes
Step-by-step explanation: what i did to get this answer is i subtracted my numbers and add so i added $30 + 6 ( don't have to put the dollar sign when you add your numbers together) and i got 36 as my answer and then after i did that i subtracted $27.84 - 36 and got 27.48 as my answer.
hope it helps you
Can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square? Explain.
Can it be concluded that the given parallelogram is either a rhombus, a rectangle, or a square?
(Picture, and answer options below)
1 From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
2 The reason for the determination made in the previous step is A. From the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
How to explain the parallelogramThe diagonals of a parallelogram bisect each other, but this is true for all parallelograms, regardless of whether they are squares, rectangles, or rhombuses.
Therefore, the given information is not sufficient to determine whether the parallelogram is a rhombus, a rectangle, or a square.
In conclusion, from the given information, no determination can be made as to whether the parallelogram is a rhombus, a rectangle, or a square.
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: What would be another way to calculate total interest rather than just adding up the individual interest amounts?
Answer:
Step-by-step explanation:
At the end of the loan/investment, you can take the accumulated value and subtract that from the principle/PV to get the total interest
The total interest earned can be determined by subtracting the principal from the future value of the loan.
There are two types of interests : simple interest and compound interest.
Compound interest is a type of interest in which the principal and interest already accumulated also earn an interest. While for simple interest it is only the principal that earns interest.
For example, if a loan of $4000 earns 10% interest compounded yearly, the future value of the the amount in 5 years is:
$4000 x (1.1)^5 = 6442.04
The interest earned over the 5 years can be determined by subtracting the cost of the loan from the future value of the investment
Interest = 6442.04 - $4000 = $2442.04
Another example, if a loan of $4000 earns 10% simple interest, the interest of the loan after 5 years is:
$4000 x 0.1 x 5 = $2000
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A rectangular room is 9 feet long and 14 feet wide. The perimeter of the room is
feet.
Answer:
48 ft
Step-by-step explanation:
this is because the perimeter of the room is its sides so first you 9x2=18
then 14x 2= 28 and then 28 + 18 and you get 48 ft
Find the lowest number which is less by 5 to be divided by 16, 24 and 36 exactly.
Answer:
Step-by-step explanation:
Whatever t he number is, it must be divisible by 4 twos and 2 threes. the wording is a bit awkward.
The answer to what number is needed is 16 * 9 = 144
144 / 16 = 9144 / 24 = 6144 / 36 = 4So if I'm reading this correctly, the answer is 149. When you take 5 away, you get 144.
Draw the proble. give me steps. Please
Answer:
I cant draw 4 u sry
Answer:
A. c = 3.5h + 15
Step-by-step explanation:
I can't exactly draw the problem BUT I can still help.
C represents the cost altogether but we do not know how much the total cost would be.
So we're paying $15 as a fee, no more from that.
Next, there's another fee that costs $3.50 per hour but since we wouldn't know how long we would use the kayak, hours would represent h.
Now, c = 3.5h + 15.
(In other words, the cost to rent a kayak would be $3.5 PLUS the additonal 15 one time cost.)
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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What does growth mean in math
HELP HELP HELP HELP I NEED HELP THIS IS THE LAST QUESTION PLZ HELP
8+7x6-7+8x10=
Will mark brainiest please hurry.
The expression 8 + 7 x 6 - 7 + 8 x 10 evaluates to 123
What is a equation?An equation is a mathematical statement showing the equivalence of two mathematical expression. Example -
3x + 5 = 8
Given is -
8 + 7 x 6 - 7 + 8 x 10
We have -
8 + 7 x 6 - 7 + 8 x 10
8 + 42 - 7 + 80
50 + 73
123
Therefore, the expression 8 + 7 x 6 - 7 + 8 x 10 evaluates to 123.
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In the song, 25 percent of the class weighed less than 6 pounds, 1 ounce at birth. 6 pounds, 1 ounce is the
Answer:
Step-by-step explanation:
A
For the considered case, the weight 6 pound 1 ounce will be taken as : Option C: Lower quartile.
What are quartiles?When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Similarly, second quartile (also called median) is approximately in mid of the data.
Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in assumption that data was arranged increasingly from left to right
For this case, it is said that 25% of the class weighted less than 6 pounds 1 ounce. That means it is first quartile or say lower quartile.
Thus, for the considered case, the weight 6 pound 1 ounce will be taken as : Option C: Lower quartile.
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So far, Chris has burned 664.6 calories. He wants to burn a total of 800 calories. How many more calories must Chris burn?
Answer:
135.4
Step-by-step explanation:
800 - 664.6 = 135.4
How to solve 3, 7, 12 and 2 to equal 20
Answer:
Answer: 3 + 7 + 12 - 2 = 20
Step-by-step explanation:
Expand the expression: 6(30-x) +3(x-10)
Answer:
150-3x
Step-by-step explanation:
Use distrubitive property:
180-6x +3x-30
Factor:
150-3x
Answer:
-3x+150
Step-by-step explanation:
6(30-x)+3(x-10)
6(30)+6(-x)+3(x)+3(-10)
180-6x+3x-30
180-3x-30
-3x+150
hopes this helps please mark brainliest
Sally had 52 more stickers than Joe after Joe gave 1/5 of his stickers to her. if they both had a total of 260 stickers, how many stickers did Sally have to start?
There are 125 stickers did Sally have to start.
We have to given that,
Sally had 52 more stickers than Joe after Joe gave 1/5 of his stickers to her.
Let us assume that,
Joe had x stickers to start with.
Since, After Joe gave 1/5 of his stickers to her.
He have 4/5 of his original amount left.
That is, 4/5x
Since, Sally had 52 more stickers than Joe
Hence, We get;
4/5x + 52 = 1/5x + y .. (i)
where y is the number of stickers Sally had to start with.
Here, they both had a total of 260 stickers,
Hence,
x + y =260 .. (ii)
From (i) and (ii);
y = 125
Thus, There are 125 stickers did Sally have to start.
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Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per
minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below.
...
a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per
minute.
The probability is
(Round to four decimal places as needed.)
b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean
less than 80 beats per minute.
The probability is.
(Round to four decimal places as needed.)
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
OA. Since the distribution is of individuals, not sample means, the distribution is a normal distribution
for any sample size.
OB. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution
for any sample size.
OC. Since the distribution is of sample means, not individuals, the distribution is a normal distribution
for any sample size.
OD. Since the original population has a normal distribution, the distribution of sample means is a
normal distribution for any sample size.
The original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size."
a. To find the probability that a randomly selected female has a pulse rate less than 80 beats per minute, we need to standardize the value using the formula z = (x - μ) / σ, where x is the pulse rate we are interested in, μ is the mean pulse rate, and σ is the standard deviation. Thus, we have:
z = (80 - 76) / 12.5 = 0.32
Using a standard normal distribution table or a calculator, we can find that the probability of a z-score less than 0.32 is approximately 0.6255. Therefore, the probability that a randomly selected female has a pulse rate less than 80 beats per minute is:
P(z < 0.32) = 0.6255
b. Since we are dealing with a sample size of 25 females, we can use the central limit theorem, which states that the distribution of sample means will be approximately normal with a mean of μ and a standard deviation of σ / sqrt(n), where n is the sample size.
In this case, we have:
μ = 76.0
σ = 12.5
n = 25
Therefore, the standard deviation of the distribution of sample means is:
σ / sqrt(n) = 12.5 / sqrt(25) = 2.5
To find the probability that 25 randomly selected females have a mean pulse rate less than 80 beats per minute, we need to standardize the value using the formula z = (X- μ) / (σ / sqrt(n)), where X is the sample mean.
Thus, we have:
z = (80 - 76) / (2.5) = 1.6
Using a standard normal distribution table or a calculator, we can find that the probability of a z-score less than 1.6 is approximately 0.9452. Therefore, the probability that 25 randomly selected females have a mean pulse rate less than 80 beats per minute is:
P(z < 1.6) = 0.9452
c. The normal distribution can be used in part (b) because we are dealing with the distribution of sample means, not individual pulse rates. The central limit theorem states that the distribution of sample means will be approximately normal regardless of the sample size, as long as the sample size is sufficiently large (typically, n ≥ 30). In this case, we have a sample size of 25, which is smaller than 30, but we can still use the normal distribution approximation because the population distribution is assumed to be normal.
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Triangle ABC was dilated using the rule Do,4. Triangle AB'C' is the result of the dilation. What is OB? O 1.5 units O 3 units O 4.5 units O 6 units
The segment OB' has a length of 3 units
How to determine the length of OB'?From the question, we have the following parameters that can be used in our computation:
Scale factor = 4
Length of segment OB = 3/4
The above means that:
Length of segment OB' = Length of segment OB * Scale factor
Substitute the known values in the above equation
So, we have the following dilation equation
Length of segment OB' = 3/4 * 4
Evaluate
Length of segment OB' = 3
Hence, the length of OB' is 3 units
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Simplify: 2.4 × 10-4
The four is a exponent
Answer: 20
Step-by-step explanation:
Multiply 2.4*10-4
Calculate 24-4
the answer is (12x^10000)/5
3. Each square on a grid represents 1 unit on each side.
Match the numbers with the slopes of the lines.
Answer:
A. 4
B. 1/4
C. -1/4
Step-by-step explanation:
The slope of each of these lines could be found by counting the rise over run. This means that you can count the change in y and divide it by the change in x. For example, the first line increase 4y and 1x. So, the slope is 4/1 or just 4.
However, there is another way to find the answer. If you understand the way slope affects a line, then you don't need to count the lines. Slopes that are greater than 1, like 4, will make a line steeper. The first graph has the steepest line; therefore, it must have a slope of 4. Fraction slopes will make the line less steep. The second 2 graphs are less steep, so they must be fractions. Finally, negative slopes will go in the opposite direction. The y-value will decrease as you go to the right instead of increasing like a positive slope. Therefore, graph 3 must have a slope of -1/4.
Mr. Cantu is selling snow cone. Use 216.2 ounces of ice to make 47 snowcones. If you use an equal amount of ice in each one, how many ounces of ice are in each snowcone?
Planet Q Is 3.6 x 10^6km
Planet R Is 1.6 x 10^7km
What Is The Shortest Distance Between Planet Q And R (Answer In Standard Form)
I've Been Stuck On This Question For A Vast Amount Of Time.
Answer:
1.64×10⁷ km
Step-by-step explanation:
We know this is a triangle rectangle, so we apply the Pythagorean Theorem
QR=sqrt(PR²+PQ²)
Solving it, we will encounter in
sqrt(2.56×10¹⁴+1.296×10¹³)
to solve it, we need to bring the two numbers at the same power of ten, so we move 1.296 of one place to the left:
sqrt(2.56×10¹⁴+0.1296×10¹⁴)
we can now add the two numbers:
sqrt(2.6896×10¹⁴)
to solve this, we do the square root of 2.6896 and divide 14 by two (the index of the root is 2, so for roots' properties we can divide 14 by 2 - the index)
which gives us
1.64×10⁷
This is a question my friend asked me help
Cranberry juice is made with a 16:3:1 ratio of water:sugar:cranberries. How much water, in gallons, is needed in order to make three gallons of cranberry juice? Express your answer as a common fraction.
Answer:
12 / 5 gallons
Step-by-step explanation:
You have an annual earned income of $37,000 and a passive income from internet advertisements paying $1,000 per month. You also sold a boat last year for $9,500.Given this information, determine the amount you made last year before taxes.
Answer:
34500
Step-by-step explanation:
37000 - 12(1000) = 25000
25000 + 9500 = 34500
its a image, i attached here.
Answer:
Step-by-step explanation:
First expression
54+11 =65
second expression
7x+13x= 20x
Third expression
(7x+54)+(13x+11)
7x+54+13x+11
(7x+13x)+(54+11)
20x+65
Fourth expression
In your own opinion, how does the problem in the middle relate to the problems on the side?
from the above first two expression
first value of each expression was combined to make 7x+54
second value of each expression was combined to make 13x+11
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+4)
41°
81°
Last year a sports team made $2,000,000 in profit, and this year it increased its profits
to $2,500,000. How much money was made on food sales in both years based on how
the sports team makes its profits:
• Programs: 15%
• Food: 40%
• Souvenirs: 25%
• Tickets: 20%
1,000,000
2,500,000x0.4 (40 as a decimal) = 1,000,000
Ally has 5 blue toy cars, 2 red toy cars, and 3 yellow toy cars in a box. She will randomly choose 1 toy car from the box. What is the probability Ally will choose a red toy car? (7.61, RS, RC1) 1 A 4 C D 10 Garrison will roll a number cube and flip a coin. The faces of the number cube are 1 through 6. The coin can land on heads or tails. If Garrison rolls the number cube Flips the coin once, which list contains only the outcomes in which the number cub a number less than 3?
number of blue toy car = 5
number of red toy car = 2
number of yellow toy car = 3
Total toy car = 10
She randomly choose 1 toy car from the box . The probability that she will choose a red toy car is
\(\text{probability of choosing a red car=}\frac{2}{10}=\frac{1}{5}\)If g=3x+2 and h=x+1/2 what is equivalent to gh...?
Answer:
3x²+\(\frac{7}{2}\)x+1
Step-by-step explanation:
gh
(3x+2)(x+(\(\frac{1}{2}\)))
3x²+2x+\(\frac{3}{2}\)x+1
3x²+\(\frac{7}{2}\)x+1
if it is -2°F outside and the temperature it will drop 10°F in the next 5 hour,how cold will it get ?
Answer:
it will be -12 F
Step-by-step explanation:
IT is already -2 F so if you add -2 + -10= -12