Answer:
The answer is 207 ft^2
Step-by-step explanation:
Answer:
207
Step-by-step explanation:
Hey There!
So the first step is to solve for the figure with a length of 9 and a width of 15
15x9=135
The other figure has a length of 12 and a width of 6
6x12=72
No we just add them
135+72=207
therefore 207 is your answer
If (3N + 5) represents a multiple of 10, Then what is true about "N"
A. N is even
B. N is Odd
C. N is a factor of 30
D. N is a factor of 50
Answer: B: N is odd
Step-by-step explanation:
If 3N + 5 is a multiple of 10, then it can be written as:
3N + 5 = 10k, where k is an integer.
Subtracting 5 from both sides, we get:
3N = 10k - 5
Dividing both sides by 3, we get:
N = (10k - 5) / 3
For N to be an integer, 10k - 5 must be divisible by 3.
We know that any multiple of 10 that is divisible by 3 must have a units digit of 0, and the sum of its digits must be divisible by 3.
The units digit of 3N + 5 is 5, which is not 0, so N is not even. Therefore, option A is not correct.
The sum of the digits of 3N + 5 is 3 + 5 = 8, which is not divisible by 3. Therefore, N is not a factor of 30. Therefore, option C is not correct.
Similarly, since 3N + 5 is not divisible by 5, N cannot be a factor of 50. Therefore, option D is not correct.
Therefore, the only possible option is B: N is odd.
To see why, consider the following: if N is odd, then 3N is odd, and 3N + 5 is even. If 3N + 5 is even, then it must be divisible by 2, which means it is also divisible by 10 (since it is given that 3N + 5 is a multiple of 10). Therefore, N must be odd.
A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
What does the circled portion represent in the confidence interval formula?
p±z.
O Sample proportion
O Margin of error
p(1-p)
n
Confidence interval
O Sample Size
The circled portion in the confidence interval formula p ± z represents the Margin of Error, which plays a crucial role in interpreting the range of plausible values for the population parameter.
In the confidence interval formula p ± z, the circled portion represents the Margin of Error.
The Margin of Error is a critical component of a confidence interval and quantifies the level of uncertainty in the estimate.
It indicates the range within which the true population parameter is likely to fall based on the sample data.
The Margin of Error is calculated by multiplying the critical value (z) by the standard deviation of the sampling distribution.
The critical value is determined based on the desired level of confidence, often denoted as (1 - α), where α is the significance level or the probability of making a Type I error.
The Margin of Error accounts for the variability in the sample and provides a measure of the precision of the estimate.
It reflects the trade-off between the desired level of confidence and the width of the interval.
A larger Margin of Error indicates a wider confidence interval, implying less precision and more uncertainty in the estimate.
Conversely, a smaller Margin of Error leads to a narrower confidence interval, indicating higher precision and greater certainty in the estimate.
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Ex. What is the theoretical probability of rolling 5 or higher on a six sided die?
Marcus jogged 1 2/5 miles on Saturday and 9/10 miles on Sunday. Rounding the
fractions to the nearest 1/2, approximately how many miles did he jog over the
weekend? Express your answer as an improper fraction.
Marcus jogged \(2\frac{1}{2}\) miles over the weekend.
Marcus jogged \(1\frac{2}{5}\) miles on Saturday and 9/10 miles on Sunday.
we first need to find a common denominator:
\(1\frac{2}{5}\) = 7/5
9/10 = 0.9 miles
Now, we can round each of these to the nearest 1/2:
7/5 is closer to \(1\frac{1}{2}\) than 1, so we round to \(1\frac{1}{2}\)
0.9 is closer to 1 than 1/2, so we round to 1
Adding these rounded values, we get:
\(1\frac{1}{2}\) + 1 =\(2\frac{1}{2}\)
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Find the amount and C.I on a sum of Rs. 62500 for 1 year at 5% per annum compounded yearly.
The amount and the compound interest on a sum of Rs. 62500 are Rs. 65625 and Rs. 3125, respectively.
Calculating the amount and the compound interestGiven:
Principal amount (P) = Rs. 62500
Rate of interest (R) = 5%
Time period (t) = 1 year
Interest is compounded yearly.
Formula for calculating compound interest is given as:
A = P(1 + R/100)ᵗ
where A is the amount.
Using this formula, we can find the amount (A) after one year:
A = 62500(1 + 5/100)¹
A = 65625
Therefore, the amount after one year is Rs. 65625.
To find the compound interest, we can subtract the principal from the amount:
Compound Interest = A - P
= 65625 - 62500
= 3125
Therefore, the compound interest is Rs. 3125.
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The following inequalities are equivalent except ...
A <3
B −1<2 C +1<3 D −2<1
Answer:
C + 1 < 3 is not equivalent.
Step-by-step explanation:
B - 1 < 2 ⇒ B < 3
C + 1 < 3 ⇒ C < 2
D - 2 < 1 ⇒ D < 3
Therefore, all inequalities are equivalent except C + 1 < 3.
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
16 yd
6 yd
14 yd
8 yd
7 yd
The missing side length on the figure is 9 yards
How to determine the missing side lengthFrom the question, we have the following parameters that can be used in our computation:
The figure
The missing length on the figure is represented with ?
Using the above as a guide, we have the following equation
? + 7 = 16
Evaluate
? = 9
Hence, the missing side length is 9 yards
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The missing side length is equal to 9 yd.
Rectangles
The rectangle is a quadrilateral. The classification for quadrilaterals is given by the length of sides and angles. For a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
A rectangle is a geometric figure that has 4 sides called: length and width (W). Due to its characteristics, the rectangle presents two lengths (L) and two widths (W).
For solving this question, you should:
Identify the basic shapes;Find the missing side length;STEP 1 - Identify the basic shapes.The figure is composed of two rectangles:
Rectangle 01 whose sides are: 6 yd (W) and 16 yd (L).
Rectangle 02 whose sides are: 8 yd (W) and 7 yd (L).
STEP 2 - Find the missing side length.
If the length (L) of rectangle 01 is 16 yd, which is equal to the sum between the missing side and the length of rectangle 02 (7 yd). Thus
16=s+7
s=16-7
s=9
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Brenda and her three friends ate dinner at Applebee’s. Their total bill was $24.36 which they spent equally. How much does each person pay?
plz explain how you got your answer
Answer:
8.12
Step-by-step explanation:
Line segment BA¯¯¯¯¯¯¯¯ has endpoints B(−3,0) and A(5,4). What are the coordinates of the point located 14 of the way from B to A?
(1,2)
(3,3)
(−1,1)
(1,−1)
Answer: P'(9, -1), L'(3, 1)
Step-by-step explanation:
I dont have a an explanation but this is the correct answer.
4. A driver set a goal to earn $2,000 in March. He receives a base salary
$1,000 per month as well as a 20% commission for all sales in that money
What does his total sales have to be this month to reach his goal
The total sales have to be this month to reach his goal is 5000.
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
A driver set a goal to earn $2,000 in March. He receives a base salary
$1,000 per month as well as a 20% commission for all sales in that money.
According to given question we have
Total earn in the march(y)=$2,000
Base salary per month(c)=$1,000
commission for all sales(m)=20%
Let the total sales be x
By the equation in slope-intercept we have
y=mx +c
2000=0.2x+1000,
subtract 1000 on both sides we get,
1000=0.2x,
Multiply by 5 to get x by itself we get,
5000=x
Therefore, the total sales have to be this month to reach his goal is 5000.
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The standard deviation of a population is 1.9. What is the margin of error? Enter your answer in the box. ±
The margin of error is defined as follows:
M = 1.9z/sqrt(n).
In which:
z is the critical value.n is the sample size.What is a z-distribution confidence interval?The bounds of the confidence interval are given as follows:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the population.The margin of error is then given as follows:
\(M = z\frac{\sigma}{\sqrt{n}}\)
Missing InformationThe problem is incomplete, hence the general procedure to obtain the sample size was presented.
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A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? hint: look at the difference between number of people and cost to get cost per person and then cost without people
How much does each person cost?
Write an equation to show cost, c, of a bus with x number of people on it
Answer:
Base rate: $120
Rate: $2 per person
Equation: f(x)=2x+120
Step-by-step explanation:
If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40. This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).
These values correspond to a base rate for the bus of $120.
The function for the cost per bus with x number of people on it would be:
\(f(x)=2x+100\)
This can be checked by using the values given in the problem:
\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)
The base rate of $120 and $2 per person satisfies the given equation and established values.
Gravetter/Wallnau/Forzano, Essentials - Chapter 3 - End-of-chapter question 24 A sample yielded the following scores: 2, 3, 4, 4,5,5,5,6,6,7 n = 10 Assume that the scores are measurements of a discrete variable and find the median Median = ___Assume that the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution (Use two decimal places.) Median = ___
Answer:
Step-by-step explanation:
24. Gravetter/Wallnau/Forzano, Essentials - Chapter 3 - End-of-chapter question 24
A sample yielded the following scores:
2, 3, 4, 4, 5, 5, 5, 6, 6, 7
n= 10
Assume that the scores are measurements of a discrete variable and find the median.
Median =5Correct
Points:
1 / 1
Median = 5
To find the median for a set of numbers with an even quantity the two middle numbers are added together and divided by 2.
n=102+(n = 102+1)2
= 5th score + 6th score2
= 5 + 52
= 102=5
Assume that the scores are measurements of a continuous variable and find the median by locating the precise midpoint of the distribution. (Use two decimal places.)
Median = 4.83Correct
The median for the discrete variable is 5 and for continuous variable is 5.
What is median?Median in statistics is the middle value of a list of data when arranged in order. It is a measure of central tendency that separates the data into two halves: the upper half and the lower half.
Given that: scores = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7
a) The scores are in ascending order; then the median which is the middle number will be:
median = (5th term + 6 term)/2
= (5+5)/2
= 10/2
= 5
b) Use the cumulative percentage table ;
X frequency cumulative frequency cumulative percentage
2 1 1 10%
3 1 2 20%
4 2 4 40%
5 3 7 70%
6 2 9 90%
7 1 10 100%
Fraction = the no. required to reach 50%/ no. in that interval
= 1/3
Since we have a total of 4 boxes when we reach the value of 4.5
The median of the continuous variable = 4.5 + (1/3)
= 4.833
≈ 5
Hence, the median for the discrete variable is 5 and for continuous variable is 5.
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Please help, the question is in the photo
Answer:
38.3 miles per gallon
Step-by-step explanation:
if you divide the miles driven by the gallons used you get 38.3
689.4 / 18 = 38.3
1263.9 / 33 = 38.3
1570.3 / 41 = 38.3
PLEASE HELP FAST!!!! THIS IS URGENT!!!
For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as number only.
1) m∠A = _____˚
2) m∠B = _____˚
3) m∠C = _____˚
4) m∠X = _____˚
5) m∠Y = _____˚
6) m∠Z = _____˚
7) Segment AB = ___ units
8) Segment BC = ___ units
9) Segment AC = ___ units
10) Segment XY = ___ units
11) Segment YZ = ___ units
12) Segment XZ = ___ units
Answer:
a=53, b=90, c=37, x=53, y=90, z=37
segment ab=3, segment bc=4, segment ac=5
pretty sure these are the answers but sorry if not
Step-by-step explanation:
Hello I need help with an idea of how to do this math method
Answer:
What is the title of this math
Answer:
See below
Step-by-step explanation:
Vertically, the numbers are separated by 10. Horizontally, the numbers are separated by 1. Thus, these are the answers:
2
11 12 13
22
16
25 26 27
36
29
38 39 40
49
37
46 47 48
57
48
57 58 59
68
52
61 62 63
72
63
72 73 74
83
74
83 84 85
94
45
54 55 56
65
What is the value of point a on the number line?
I need help ASAP
Answer:
The answer is 7/6
A professor of philosophy hypothesizes that an introductory course in logic will affect college students with their other studies. To test this hypothesis, a random sample of 25 first year students is selected. These students are required to complete a logic course during their first year. At the time of graduation, the final GPA is computed or each of these students. The mean GPA for this sample is 2.58 with a SS of 6.
Required:
Can the professor conclude that the grades for the sample were significantly different from the rest of the graduating class, which had an average GPA of 2.33?
Answer:
NO.
Step-by-step explanation:
The Professor's hypothesis:
An introductory course in Logic will affect college students with their other studies (will affect their Great Point Average - GPA).
25 students are used as the experimental group while the rest of the class are the control group.
The mean GPA in a sample size (SS) of 6 is = 2.58
The mean GPA in the full sample size of 25 would be = 10.75 by crossmultiplying.
This makes me believe the question was written wrongly. I assume SD (standard deviation) of 0.6 instead of SS (sample size) of 6.
Going by this, if standard deviation is 0.6 then the interval within which the GPA of the experimental group (the 25 students) falls is:
[2.58 - 0.6] to [2.58 + 0.6]
= 1.98 to 3.18
The rest of the graduating class (the control group) had a mean GPA of 2.33
Can the professor conclude that the GPA for the sample is significantly different from that of the control group?
The answer is NO because the GPA of the control group falls within the GPA interval of the experimental group!
i need help with this, please anyone I am so scared of failing. Please explain throughly,
thank you so much.
Check the picture below.
\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{ triangle }{\cfrac{1}{2}(26)(17)}~~ + ~~\stackrel{ rectangle }{(26)(9)}}\implies 221+234\implies \text{\LARGE 455}\)
Please provide the answer
The radius of the circle is determined as r = 5.
option B.
What is the radius of the circle?The radius of the circle is determined by applying the general formula for circle equation.
(x - h)² + (y - k)² = r²
where;
h, k is the center of the circle r is the radius of the circlex, y are the coordinates of any point on the circleThe given circle equation;
4x² + 4y² = 100
Simplify the equation by dividing through by 4;
x² + y² = 25
x² + y² = 5²
So from the equation above, the radius of the circle corresponds to 5.
r = 5
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Several children and adults visited a zoo last week. The
number of children was 2 less than 3 times the number of
adults. Let c represent the number of children and a represent
the number of adults. Which equation shows this situation?
A C = 3a-2
B C = 2a-3
C C = 3a +2
DC - 2a + 3
On a shopping trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $10 each and a number of necklaces at $11 each. She wrote a check for $1,270 to pay for the order. How many bracelets and how many necklaces did Rosaria purchase?
Will give brainiest to whoever answers this
9514 1404 393
Answer:
50 bracelets70 necklacesStep-by-step explanation:
Let n represent the number of necklaces Rosaria ordered. Then the total cost of the order is ...
10(120 -n) +11(n) = 1270
n = 70 . . . . . . . . . . . . . simplify, subtract 1200
120 -70 = 50 . . . . . . . the number of bracelets
Rosaria purchased 70 necklaces and 50 bracelets.
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is y = 2.1 + 0.28x, then the best prediction for the GPA of students who never go to the lab 2.1.TrueFalse
The statement is False.
If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is
y = 2.1 + 0.28x
If a student never goes to the lab (x=0), then the best prediction for their GPA would be y = 2.1 + 0.28*0 = 2.1.
A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.
The relationship between dispersed data points in any collection is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.
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PLEASE HELP ME AND SHOW WORK PLEASE THIS IS DUE TODAY‼️‼️‼️ show work!!!
Graph 1:
Slope: -3
X-Intercept: -1
Y-Intercept: -3
Graph 2:
Slope: 2
X-Intercept: 3
Y-Intercept: -6
Graph 3:
Slope: 3/2
X-Intercept: -4
Y-Intercept: 6
Graph 4:
Slope: -2/3
X-Intercept: 3
Y-Intercept: 2
*The picture is a bit blurry so I'm guessing the intervals are going by ones. Sorry if I'm wrong
Why do we choose 5% as a risk of making error and not 1%
In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.
The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.
In general, the choice of significance level depends on the specific application and context of the statistical analysis.
The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.
The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.
A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.
A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.
For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.
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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.
________________________________________________________
PLEASEE HELPP WILL BRAINLIST why would the average rate of the change be equal to zero from x = -2 to x = 6?
Answer:
x=5
Step-by-step explanation:
I was working on this problem also.
Maybe my version will help, too.
You need to sketch f given the information you have.
f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)
f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.
f then slopes down to to x=5 where is has a minimum and then slopes up.
if im not wrong