Answer:
-7/2
Step-by-step explanation:
This question is a word problem.
Step 1: interpretation the question
Let's assume the number is x;
X×7 – 1 = X×5 – 8
7x - 1 = 5x - 8
Step 2. Solve the equation for the unknown.
7x - 1 = 5x - 8
Take like terms together
7x - 5x = - 8 +1
2x = -7
Divide both sides by 2
x = -7/2
The answer is -7/2
Find the perimeters of the following shapes
Answer:
a.) 26.2
Step-by-step explanation:
b.)13.8
hope this helps
Answer:
A) 26.2
B) 13.8
Step-by-step explanation:
Perimeter is just adding
What is the point-slope form of a line with slope 2/5 that contains the point (-3, 6)?
O A. y-6= -2/5(x+3)
O B. y+6 = 2/5(x+3)
O C. y-6 = 2/5(x+3)
O D.y-3 = 2/5(x+3)
Answer:
y -6 = 2/5(x+3)
Step-by-step explanation:
The point slope form of an equation is
y -y1 = m(x-x1)
where m is the slope and (x1,y1) is the point
y -6 = 2/5(x- -3)
y -6 = 2/5(x+3)
C.) y - 6 = 2/5(x + 3)
The original point slope equation is the following
[tex]y - y_1 = m(x-x_1)[/tex]
When you plug in negative point values into this equation, the sign changes from '-' to '+'. This is how you can determine which equation accurately represents the line.
Suppose that prices of a certain model of a new home are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between $147,700 and $152,300 if the standard deviation is $2300.
Answer:
68% of buyers paid between $147,700 and $152,300.
Step-by-step explanation:
We are given that prices of a certain model of a new home are normally distributed with a mean of $150,000.
Use the 68-95-99.7 rule to find the percentage of buyers who paid between $147,700 and $152,300 if the standard deviation is $2300.
Let X = prices of a certain model of a new home
SO, X ~ Normal([tex]\mu=150,000 ,\sigma=2,300[/tex])
The z score probability distribution for normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean price = $150,000
[tex]\sigma[/tex] = standard deviation = $2,300
Now, according to 68-95-99.7 rule;
Around 68% of the values in a normal distribution lies between [tex]\mu-\sigma[/tex] and [tex]\mu-\sigma[/tex].
Around 95% of the values occur between [tex]\mu-2\sigma[/tex] and [tex]\mu+2\sigma[/tex] .
Around 99.7% of the values occur between [tex]\mu-3\sigma[/tex] and [tex]\mu+3\sigma[/tex].
So, firstly we will find the z scores for both the values given;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] = [tex]\frac{147,700-150,000}{2,300}[/tex] = -1
Z = [tex]\frac{X-\mu}{\sigma}[/tex] = [tex]\frac{152,300-150,000}{2,300}[/tex] = 1
This indicates that we are in the category of between [tex]\mu-\sigma[/tex] and [tex]\mu-\sigma[/tex].
SO, this represents that percentage of buyers who paid between $147,700 and $152,300 is 68%.
Approximately 95% of the buyers paid between $147,700 and $152,300.
Explanation:To find the percentage of buyers who paid between $147,700 and $152,300, we can use the 68-95-99.7 rule for normal distributions. According to this rule, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
The mean of the prices is $150,000 and the standard deviation is $2,300. The difference between $147,700 and $152,300 is $4,600, which is 2 standard deviations away from the mean. Therefore, we can expect approximately 95% of buyers to have paid between $147,700 and $152,300.
So, approximately 95% of the buyers paid between $147,700 and $152,300.
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If sally walked 1/2 mile in 1/4 hour, how fast was she walking measured in miles per hour
2 mile per hour
Step-by-step explanation:
I use the equation :
[tex] \frac{ \frac{1}{2} }{ \frac{1}{4} } = \frac{x}{1} \\ x = \frac{ \frac{1}{2} \times 1}{ \frac{1}{4} } \\ x = \frac{ \frac{1}{2} }{ \frac{1}{4} } \\ x = \frac{1}{2} \times \frac{4}{2} \\ x = \frac{4}{2} \\ x = 2 \: mile[/tex]
So, she walked 2 mile per hour
Hope it helpful and useful :)
Thelma served five pieces of a pie. The pie was cut into eighths. What fraction of the pie did she serve? Write a multiplication equation using a unit fraction to represent the information
Answer:
Pi (π) is one of the most important and fascinating numbers in mathematics. Roughly 3.14, it is a constant that is used to calculate the circumference of a circle from that circle's radius or diameter.[1] It is also an irrational number, which means that it can be calculated to an infinite number of decimal places without ever slipping into a repeating pattern.[2] This makes it difficult, but not impossible, to calculate precisely.
Step-by-step explanation:
Pi (π) is one of the most important and fascinating numbers in mathematics. Roughly 3.14, it is a constant that is used to calculate the circumference of a circle from that circle's radius or diameter.[1] It is also an irrational number, which means that it can be calculated to an infinite number of decimal places without ever slipping into a repeating pattern.[2] This makes it difficult, but not impossible, to calculate precisely.
what are the properties of parallelogram
Answer:
The properties of the parallelogram are simply those things that are true about it. These properties concern its sides, angles, and diagonals.
Step-by-step explanation:
The parallelogram has the following properties:
Opposite sides are parallel by definition.
Opposite sides are congruent.
Opposite angles are congruent.
Consecutive angles are supplementary.
The diagonals bisect each other.
If you just look at a parallelogram, the things that look true (namely, the things on this list) are true and are thus properties, and the things that don’t look like they’re true aren’t properties.
If you draw a picture to help you
What are the dimensions of the cross section formed by
a plane intersecting this rectangular prism parallel to its
base?
The cross section is a
The length of the cross section is
The width of the cross section is
cm.
cm.
ith = 4 cm
Answer:
rectangle, 5,4
Step-by-step explanation:
i just did the assignment and got it right
What is the slope, m, and y-intercept for the line that is plotted on the grid below? On a coordinate plane, a line goes through points (0, 4) and (negative 2, 0). m = One-half, (0, –2) m = One-half, (0, 4) m = 2, (0, –2) m = 2, (0, 4)
Answer:
D. m = 2, (0, 4)
Step-by-step explanation:
the answer is D
I got it write on the quiz
Answer:
yes it is D :D
Step-by-step explanation:
when I was six my brother was half my age. next year if I turn 40 how old will my brother be?
Answer:
37
Step-by-step explanation:
You were 6 and he was half which made him 3
So you’re gonna turn 40 he’s gonna be three years younger than you which is 37
Hope I helped
How many different ways can a string of 23 pearls be strung
Answer:
22
Step-by-step explanation:
It can be strung 22 ways!!
Answer:
22!
Step-by-step explanation:
The circular permutation formula requires n-1. So the answer is 22!
Q1: A group of 50 biomedical students recorded their pulses rates by counting the number of beats for 60 seconds. (15)
80
48
88
70
84
82
66
84
82
64
44
72
90
70
86
104
58
84
72
60
90
108
62
52
72
86
66
104
78
82
96
54
68
76
72
88
102
74
68
74
78
66
72
90
62
100
92
84
76
72
(a) Construct frequency distribution.
(b) Compute mode, median and mean of the frequency distribution.
(c) The lower and upper quartile of the frequency distribution.
Answer:
The answers are in the explanation.
Step-by-step explanation:
a)
X1 -Absolute frecuency -cumulative absolute frequency -Relative frecuency
44 1 1 0.021
48 1 2 0.021
52 1 3 0.021
54 1 4 0.021
58 1 5 0.021
60 1 6 0.021
62 2 7 0.042
64 1 8 0.021
66 3 12 0.063
68 2 14 0.042
70 2 16 0.042
72 6 22 0.126
74 2 24 0.042
76 2 26 0.042
78 2 28 0.042
80 1 29 0.021
82 3 32 0.063
84 4 36 0.084
86 2 38 0.042
88 2 40 0.042
90 3 43 0.063
92 1 44 0.021
96 1 45 0.021
100 1 46 0.021
102 1 47 0.021
104 2 49 0.042
108 1 50 0.021
Total: 50 50 1
b) Mean: is the number average = 3806/48 = 78.12 Median: is the number or average number of half = 76 Mode: Is the number that appears most frequently = 72c) Lower quartile: 67Upper quartile: 84Luther takes 45 bottles of water on a camping trip. If he drinks 80 % of them how many does he have left?
Answer:
9
Step-by-step explanation:
80% of 45 is 36
45-36=9
Myriad Solutions, Inc., issued 10% bonds, dated January 1, with a face amount of $320 million on January 1, 2013 for $283,294,720. The bonds mature on December 31, 2022 (10 years). For bonds of similar risk and maturity the market yield is 12%. Interest is paid semiannually on June 30 and December 31.
a. What would be the net amount of the liability Myriad would report in its balance sheet at December 31, 2018? 2.
b. What would be the amount related to the bonds that Myriad would report in its income statement for the year ended December 31, 2018?
c. What would be the amount(s) related to the bonds that Myriad would report in its statement of cash flows for the year ended December 31, 2018?
Answer:
a. $ 285,349,947
b. $ 34,055,227
c. $ 283,294,720 and $ 32,000,000
Step-by-step explanation:
We have the following data as of Jan. 1, 2013:
Cash 283,294,720
Discount on Bonds Payable 36,705,280
Bonds Payable 320,000,000
Now for the date of June 30, 2013, we do the following calculations:
320,000,000 x 10% x 2 = $ 16,000,000 cash payment
interest expense:
283,294,720 carrying value x 6% market rate = 16,997,683
to calculate depreciation:
16,997,683 - 16,000,000 = $ 997,683 discount amortization
Now for the new carrying value of bonds, we do the following:
283,294,720 + 997,683 = 284,292,403
As of Dec. 31, 2013, we have to:
320,000,000 x 10% x 2 = $ 16,000,000 cash payment
interest expense:
284,292,403 carrying value x 6% market rate = 17,057,544
to calculate depreciation:
17,057,544 - 16,000,000 = $ 1,057,544 discount amortization
Now for the new carrying value of bonds, we do the following:
284,292,403 + 1,057,544 = 285,349,947
Answering the questions:
a. The bonds would be listed at their current carrying value, $ 285,349,947
b. Interest Expense : 16,997,683 + 17,057,544 = $ 34,055,227
c. The $ 283,294,720 cash received from the sale of bonds would be added to cash flows under financing activities. The $ 32,000,000 in interest payments would be subtracted from cash flows under operating activities.
The net amount of liability, amount in income statement, and cash outflows related to Myriad Solutions, Inc.’s bonds are all calculated based on semiannual interest payments and the amortization of the discount over the life of the bonds. The carrying value of the bonds increases each year, and the interest expense and cash payments are reported in the financial statements.
Explanation:To determine the net amount of the liability Myriad Solutions, Inc. would report in its balance sheet at December 31, 2018, we need to calculate the carrying value of the bonds five years after issuance. Assuming the bonds were issued at a discount because the market rate of 12% was higher than the coupon rate of 10%, the discount is being amortized over the life of the bonds. This means the liability in the balance sheet is increasing every year until it reaches the face value at maturity.
The amount related to the bonds that Myriad would report in its income statement for the year ended December 31, 2018, includes the interest expense. Since the interest is paid semiannually, there would be two interest payments in 2018. Each payment would be a portion of the annual 10% coupon rate on the face value of $320 million, adjusted for any amortization of the bond discount over the reporting period.
For the statement of cash flows for the year ended December 31, 2018, Myriad would report the actual cash paid out as interest payments on the bonds. This would total the semiannual payments made on June 30 and December 31, which would be 10% of the $320 million face value divided by two, reflecting that interest is paid semiannually.
How do you know that the right triangles are the bases of the prism
Answer:
if the triangular faces are equilateral, the prism is regular, in which case the rectangular faces are congruent. The rectangular faces are said to be lateral, while the triangular faces are bases. If the bases are horizontal, they are sometimes called the top and the bottom (faces).
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Step-by-step explanation:
In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 296 trials, the touch therapists were correct 143 times.
Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?
Answer:
a 0.5
b 0.4831
c 0.4354 < P < 0.53008
Step-by-step explanation:
Given that :
Probability (P) of a head or a tail when a coin is being tossed or flipped = 1/2 = 0.5
Sample size (n) = 296
Selected sample (X) = 143
a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?
The proportion of correct responses that would be expected if the touch therapists made random guesses is 0.5
b) Using Emily's sample results, what is the best point estimate of the therapists' success rate?
Point estimate [tex](p') = \frac{X}{n}[/tex]
= [tex](p') = \frac{143}{296}[/tex]
= 0.4831
c) Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.
The [tex]Z_c[/tex] for 90% is 1.645
Using the formula P" -E < P < P" + E
where E = margin of error : [tex]Z_c * \sqrt{\frac{P(1-P)}{n} }[/tex]
[tex]=1.645 * \sqrt{\frac{0.4831(0.5169)}{296} }[/tex]
[tex]=1.645 * \sqrt{\frac{0.2497}{296} }[/tex]
[tex]=1.645*0.029[/tex]
= 0.0477
∴ P" -E < P < P" + E
= 0.4831 - 0.0477 < P < 0.4831 + 0.0477
= 0.4354 < P < 0.53008
Answer:
The proportion of correct responses would be in between [tex](0.4345)<P<(0.53008)[/tex]
Step-by-step explanation:
Given information:
Sample size [tex](n)=296[/tex]
Selected sample [tex](x) =143[/tex]
Probability of head or tail will be 0.5 because a coin is tossed.
So the proportion of correct responses if the therapist made random decision will be 0.5.
Now with the help of sample result:
Point estimate:
[tex](p)'=x/n\\(p')=143/296\\(p')=0.4831[/tex]
Now, if we take confidence level of 90%
Then, [tex]Z=1.645[/tex]
As,
[tex](P"-E)<(P)<(P"+E)[/tex]
Where , E is the margin of error.
[tex]E=Z \times \sqrt \frac{P(1-P)}{n} \\E=1.654 \times \sqrt \frac{(0.4831 \times0.5169}{296} \\E=1.645\times 0.029\\E=0.0477[/tex]
Therefore:
[tex](P"-E)<(P)<(P"+E)[/tex]
[tex](0.4831-0.0477)<P<(0.4831+0.0477)\\(0.4345)<P<(0.53008)[/tex]
Hence, the proportion of correct responses would be in between [tex](0.4345)<P<(0.53008)[/tex].
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Help me pleassseeeeeeee
Sarah enjoys reading books as a hobby. Complete the rate chart below to find how many pages Sarah reads in a certain number of hours. Time (in hours) 3 6 9 12 15 Number of Pages Read 120 240 360 480 ? A. 780 B. 520 C. 600 D. 578
Answer: C. 600
Step-by-step explanation:
Sarah reads at a pace of 120 pages per 3 hours.
All we have to do is add 120 pages to the 480 pages.
480+120=600
consider the function f(x)= x^2 and the function g(x) shown below. how will the graph of g(x) differ from the graph of f(x)
g(x) = 4×f(x) = 4x^2
Answer:
f(x) = x^2
g(x) = 4*x^2
=> For a value of x, the g(x) is 4 times larger than f(x).
=> g(x) is the stretched version of f(x) with stretched ratio = 4).
=> Option D is correct
Hope this helps!
:)
Answer:
D
Step-by-step explanation:
The multiple "4" is the stretch factor. The stretch is parallel to y-axis, which is a vertical stretch
Write 2 ones and 5 hundredths as a decimal
Answer:
2.05
Step-by-step explanation:
Look at this chart
2 ones and 5 hundredths can be written as 2.05 in decimal form.
What are decimals?Decimals are values that utilize a dot known as the decimal point to distinguish between the whole number portion and the fractional portion. This dot acts as a separator marking the boundary, between these two parts of a number. The fractional section of a decimal can be expressed in units such as tenths, hundredths, thousandths and forth.
In this case the digit 2 signifies the number element of the value while 0.05 represents its fractional component. The presence of the point ensures a division, between these two segments, one being whole and the other being fractional.
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SOMEONE PLEASE HELP
The table lists the types of blocks found in a box of toys. Find P
Answer: P= 0.174
Step-by-step explanation:
Using the principle of probability, the probability of obtaining a green and round block from the toy box would be 0.174
P(green and round) can be interpreted as P(GREEN n ROUND)
From the table given :
P(green and round) = 4Total number of blocks in the toy = 23Recall :
Probability = required outcome / Total possible outcomesHence, P(green and round) = 4/23 = 0.1739 = 0.174
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Ayudaaaa porfavorrrrrrrr
The length of the 'top' vector is sqrt(3^2 + 3^2) = 3sqrt2
The length of the 'bottom' vector is sqrt(4^2 + 1^2) = sqrt17
Multiply 71 by 8 and then add 379
Answer: 947
Step-by-step explanation:
71 x 8 = 568
568 + 379 = 947
Answer = 947
Answer:
947
Step-by-step explanation
multiply 71 and 8 then add 379
Evaluate -8 -3+8+ (-3).
Answer:-6
Step-by-step explanation:
-8-3+8+(-3)
-8-3+8-3
Rearranging we get
8-8-3-3
0-6=-6
The correct answer is:
[tex]-8 - 3 + 8 + (-3) = -6.[/tex]
1. Start with -8.
2. Subtract 3: [tex]-8 - 3 = -11[/tex].
3. Add 8: [tex]-11 + 8 = -3.[/tex]
4. Subtract 3: [tex]-3 - 3 = -6[/tex].
Complete correct question:
Evaluate [tex]-8 -3+8+ (-3)[/tex].
For 16 and 17, use the dot plot of the number
of cars sold at a car dealership per week
during the first half of the year.
8
121 16
Cars Sold
20 24
2
16. Find the mean, median, and range.
Mean =
Median
Range -
Answer:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.
The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
i hope i helped a bit
Step-by-step explanation:
The sum of 2ab^2 and (-5ab^2) is the same as the sum of (-6ab^2) and
Answer:
? = 3ab^2
for the sum of (-6ab^2) and 3ab^2
Step-by-step explanation:
2ab^2 +(-5ab^2) =(-6ab^2) + ?
-3ab^2 = -6ab^2 + ?
? = 6ab^2 - 3ab^2
? = 3ab^2
I’m so confused! Please help! :)
Answer:
The answer is 18.84
Step-by-step explanation:
The diameter is 6.
Circumference = d[tex]\pi[/tex]
6 * 3.14 = 18.84
Suppose the students construct a 95% confidence interval for the true weight of their rocks. Whose interval do you expect to be more precise (narrower)? (i) The student who weighed the rock 20 times. (ii) The student who weighed the rock 5 times. (iii) Both intervals would be equally precise.
Answer:
(i) The student who weighed the rock 20 times.
Step-by-step explanation:
The margin of error of a confidence interval is:
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
From the equation above, the larger the size of the sample, the lower the margin is, that is, the narrower the interval is.
In this question:
A student weighed the rock 20 times and other the 5. From above, the one who weighed the rock 20 times will have the more precise interval.
So the correct answer is:
(i) The student who weighed the rock 20 times.
Will the sugar, the sand, or both dissolve in the water?
Answer:
sugar
Step-by-step explanation:
Answer:
Sugar will dissolve
Step-by-step explanation:
Sand does not dissolve in water, but it absorbs water to some extent
The picture below is of a Little League Baseball field. The distance from Home Plate to First Base is 60 feet, and from Home Plate to the center of the Pitcher’s Mound is 46 feet. The baseball "diamond" is actually a square (distance between each base is 60 feet), so the angle made by each base is 90°. So, if a line were connecting Home Plate with the Pitcher’s mound, it would create a 45° angle. So, approximately how far is First Base from the center of the Pitcher’s Mound? (HINT: The pitcher’s mound is not in the middle of the field, so there are NO right angles in this problem.) (
Answer:
42.58 FT
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Answer:
While chalking the lines on a little league baseball field, Tory determined that the distance between each of the bases is 45 feet. What would be the approximate distance from home plate to second base be if measured through the pitchers mound?
Step-by-step explanation:
42.58
On a coordinate plane, a line goes through (negative 8, 10), (0, 0), and (8, negative 10). What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)? 4x – 5y = 5 5x + 4y = 37 4x + 5y = 5 5x – 4y = 8
Answer:
4x-5y =5
Step-by-step explanation:
First we need to find the slope of the line
m = (y2-y1)/(x2-x1)
= (0-10)/(0- -8)
= -10/(0+8)
-10/8
-5/4
We want a line with a perpendicular slope
That line will have a negative reciprocal slope
-1 (-5/4)
4/5
We have the slope and a point
y= mx+b is the slope intercept form of a line
y = 4/5x+b
Substitute the point into the equation
3 = 4/5(5)+b
3 =4+b
b = -1
The equation of the line is y = 4/5x-1
Multiply each side by 5 to get rid of the fractions
5y = 4x -5
Subtract 4x from each side
-4x+5y = -5
Multiply each side by -1
4x-5y =5
Answer:
4x - 5y = 5
Step-by-step explanation:
Slope of the given line:
(-10-0)/(8-0)
-10/8
-5/4
Slope of the Perpendicular line
4/5
y = ⅘x + c
3 = (4/5)(5) + c
3 = 4 + c
c = -1
y = (4/5)x - 1
5y = 4x - 5
4x - 5y = 5