Step-by-step explanation:
lolekieieieieieooe EP of everything e
The multiplication of the given numbers is obtained as 0.43.
How to round off a given number?A number can be rounded to a certain place by looking at the number just after that place. If it is greater than or equal to 5, one is added otherwise it is kept as the same.
The given numbers are 1.34 and 0.32 respectively.
The multiplication of these numbers are given as follows,
1.34 × 0.32
= 0.4288
In order to round it to the nearest hundredth, look at the digit at the thousandth place.
Here, it is given as 8 which is greater than 5.
Thus, the required number is 0.43.
Hence, the required number obtained after the rounding to the nearest hundredth is given as 0.43.
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Below is the five-number summary for 136 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of time to complete the 212-mile hike from Yosemite Valley across the high Sierras to the top of Mount Whitney.
Five-number summary:
Minimum = 9 days
The first quartile (
Q
1
)
=
18
days
The median (
Q
2
)
=
21
days
The third quartile (
Q
3
)
=
28
days
Maximum =56 days.
If we use the 1.5 * IQR rule to determine whether there are any outliers, what is the right boundary?
Interquartile range:
Interquartile range is used by the data analyst to detect the whether there any data value which is located far away from others. The data analyst usually finds this by plotting the box-plot (a visualization technique based on interquartile range formula), Since it is the best and easy way to locate outlier values.
If we use the 1.5 * IQR rule to see if there are any outliers, the correct boundary is 43 days.
To use the 1.5 * IQR rule to determine whether there are any outliers in this data set, we need to first calculate the IQR. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).
IQR = Q3 - Q1
= 28 - 18
= 10
Next, we can calculate the boundaries for potential outliers:
Lower boundary = Q1 - 1.5 * IQR
= 18 - 1.5 * 10
= 3
Upper boundary = Q3 + 1.5 * IQR
= 28 + 1.5 * 10
= 43
Since the maximum value in the data set is 56, there are no outliers above the upper boundary. Therefore, the right boundary is 43 days.
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Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
notebooks, and made $19. Club B sold 1 t-shirt and 1 notebook, for a total of $8.
-
Use matrices to solve the equation and determine the cost of a t-shirt and the cost of a notebook. Show or explain all necessary:
Using matrices the simultaneous equation is solved to get x = 3 and y = 5
How to solve the simultaneous equation using matricesThis method required finding determinants in three occasions then dividing
The given equation
\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)
the determinant is
\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)
3 * 1 - 2 * 1 = 3 - 2 = 1
Solving for x
determinant while replacing x values
\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)
19 * 1 - 2 * 8 = 19 - 16 = 3
solving for x = 3/1 = 3
Solving for y
determinant while replacing y values
\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)
3 * 8 - 19 * 1 = 24 - 19 = 5
solving for y = 5/1 = 5
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how do I solve this?
Answer:
the answer is 4
Step-by-step explanation:
i added and subtracted and got 4
The population of North Carolina was approximately 9.5 million in 2010. The population has increased by about 1.3% per year. If the population continues to grow at this rate, in what year will North Carolina’s population reach 12 million?
The population of North Carolina will reach 12 million in the year 2028.
What is Population Growth?Population growth is defined as the increase in the number of people which is calculated using population growth rate.
Given that,
Population in 2010 = 9.5 million
Population is increasing to 1.3% per year.
Annual growth rate = 1.3% = 1.3/100 = 0.013
We have the population growth formula,
P = P₀ e^(r t)
Here, P₀ = 9.5 million = 9,500,000
and P = 12 million = 12,000,000
r = 0.013
We have to find t.
12,000,000 = 9,500,000 e^(0.013t)
120 / 95 = e^(0.013t)
Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,
㏑(12/9.5) = 0.013t × ㏑e
[㏑(12/9.5) ÷ 0.013] = t [since ln e = 1]
t = 17.97 ≈ 18 years
The year is 2010 + 18 = 2028
Hence in the year 2028, the population will be 12 million.
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When fifteen is reduced by one third of a number, the results is 7. The number
we wirte the expression on numbers
\(15-\frac{x}{3}=7\)where x is the missing number
to solve
subtract 15 on both sides
\(\begin{gathered} 15-15-\frac{x}{3}=7-15 \\ -\frac{x}{3}=-8 \end{gathered}\)we can remove negative sign on both sides
\(\begin{gathered} \frac{x}{3}=8 \\ \end{gathered}\)and solve for x multipliying 3 on both sides
\(\begin{gathered} 3\times\frac{x}{3}=8\times3 \\ \\ x=24 \end{gathered}\)the value of missing number is 24
Other way
\(15-\frac{x}{2}=7\)
solve for x moving terms
\(\begin{gathered} -\frac{x}{3}=7-15 \\ \\ -\frac{x}{3}=-8 \\ \\ x=-8\times-3 \\ \\ x=24 \end{gathered}\)A hardware store stocks 85 reels of garden hose, each
containing 30 m of hose. How many kilometres of
garden hose are stocked by the store?
It's given that, the hardware store stocks 85 reels of garden hose. Each of them measure to be of 30 m.
Total length of hoses = 85 × 30
= 2550 m
= 2.550 km
= 2.5 km (approx.)
2.5 km of garden hose are stocked by the store.
please i need help. can someone please help me
Solve for x. Round to the nearest tenth, if necessary.
Answer:
10.7
Step-by-step explanation:
Since this is a right triangle, we can use trig functions to calculate the hypotenuse.
We know the opposite side from the angle labeled 59 degrees.
sin 59 = opp side / hypotenuse
sin 59 = 9.2/x
x = 9.2/ sin 59
x = 10.733
The square root of a certain number is approximately 3.5123. The certain number is between what 2 integers?
3 and 4
4 and 5
9 and 13
18 and 19
17 and 20
C
the square root of 9 is 3 and the square root of 16 is 4. although 13 is less than 16, it can still be assumed that 3.5123 is between the square root of 9 and 13
You live on a triangular piece of land with a base of 121 yards and a height of 80 yards. One acre of land is equal to 4840 square yards. Find the area of your piece of land in acres.
Answer:wsg bear
Step-by-step explanation:
Write the following comparison as a ratio reduced to lowest terms.
21 nickels to 43 dimes
Answer:
As coins, they are already in their simplest ratio, since 25 and 38 don't have any common factor to divide by. (1 doesn't really count...)
As money, you need to multiply the 25 nickels x 5 cents per nickel, which gives you 125 cents,
and 38 dimes x 10 cents per dime, which gives you 380 cents.
So your new ratio is 125:380, which you can simplify by dividing each by 5, which gives you
25:76
SO, as money the ratio in simplest terms is 25:76. As numbers of coins, it's 25:38
If you think about it, it makes sense because:
10 cents is twice as much as 5 cents, and
76 cents is twice as much as 38 cents.
Hope this helps!
Matt in New York
Ten cents cost twice as much as five cents, and 38 cents are equivalent to twice as much as 76 cents.
Explain about the Ratio?
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value
Since there is no
to divide 25 by and 38 by, they are already in their most basic ratio as coins. (1 is hardly significant...)
To convert the 25 nickels to money, multiply them by the nickel's value, which comes to 125 cents.
and 38 dimes multiplied by 10 cents each, giving you 380 cents.
By dividing each by 5, you can simplify your new ratio of 125:380 and get
25:76
Therefore, the ratio is 25:76 expressed simply as money. It is 25:38 in monetary terms.
It makes sense if you think about it since
Ten cents are twice as expensive as five cents, and
38 cents is double what 76 cents
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Here is a different number machine.
+ 13
input
When the input is 17, the output is 10
Complete the number machine.
output
Based on the information, it can be inferred that if the input of the machine is 17, the output is 82.
How to calculate the output of the machine?To calculate the output of the machine we must know what values we have in the input. In this case we have x5 - 3. So, to find the output of this machine we must carry out the following procedure:
output = x5 - 3output = (17 * 5) - 3output = 85 - 3output = 82According to the above, the output of the machine is 82 when the input is 17.
Note: This question is incomplete and the information is wrong. Here is the correct and complete information:
Input = x5 - 3
tasks
Calculate what is the output of the machine if the input is 17
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How do I solve this question
Given. Base Rate Percentage. N
1.) 2.4 is 30% of n.
2.) 225 is 25% of n
3.) 70% of n is 14.7
4.) 113 is 13% of n
5.) 28% of n is 196
6.) 35% of n is 1200
7.) 175.5 is 11% of n
8.) n is 40% of 65
Please be honest cause we will pass this tomorrow
In mathematics, a percentage is a number or ratio that may be expressed as a fraction of 100. Divide the result by the total and multiply it by 100 to get the percentage of the given number. The percentage therefore denotes a part in a hundred.
We can use the information given in each statement to write an equation and then solve for the value of n. Here are the equations for each statement:
1.)2.4 = 0.3n
2.)225 = 0.25n
3.)0.7n = 14.7
4.)113 = 0.13n
5.)0.28n = 196
6.)0.35n = 1200
7.)175.5 = 0.11n
8.)n = 0.4 x 65
Solving each equation for n, we get:
1.n = 8
2.n = 900
3.n = 21
4.n = 869.23 (rounded to two decimal places)
5.n = 700
6.n = 3428.57 (rounded to two decimal places)
7.n = 1595.45 (rounded to two decimal places)
8.n = 26
Therefore, the value of n is different for each statement, and its value depends on the percentage given in that statement.
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The value of n is different for each statement, and its value depends on the percentage given in that statement.
1.n = 8
2.n = 900
3.n = 21
4.n = 869.23
5.n = 700
6.n = 3428.57
7.n = 1595.45
8.n = 26
What is the percentage?
In mathematics, a percentage is a number or ratio that may be expressed as a fraction of 100. Divide the result by the total and multiply it by 100 to get the percentage of the given number. The percentage therefore denotes a part in a hundred.
We can use the information given in each statement to write an equation and then solve for the value of n. Here are the equations for each statement:
1.)2.4 = 0.3n
2.)225 = 0.25n
3.)0.7n = 14.7
4.)113 = 0.13n
5.)0.28n = 196
6.)0.35n = 1200
7.)175.5 = 0.11n
8.)n = 0.4 x 65
Solving each equation for n, we get:
1.n = 8
2.n = 900
3.n = 21
4.n = 869.23 (rounded to two decimal places)
5.n = 700
6.n = 3428.57 (rounded to two decimal places)
7.n = 1595.45 (rounded to two decimal places)
8.n = 26
Therefore, the value of n is different for each statement, and its value depends on the percentage given in that statement.
1.n = 8
2.n = 900
3.n = 21
4.n = 869.23
5.n = 700
6.n = 3428.57
7.n = 1595.45
8.n = 26
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Figure ABCD is a parallelogram. Is it also a rhombus? Why or why not?
D
5m
B
5 m
C
OA. It cannot be determined, because a parallelogram with congruent
adjacent sides may or may not be a rhombus.
B. No, because all four sides are congruent.
C. Yes, because adjacent sides are congruent.
D. No, because adjacent sides are congruent.
The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.
How to determine the true statement about the parallelogramGiven that
Figure ABCD is a parallelogram
Such that
Side lengths = 5 cm
This means that
The figure is a square
As a general rule
All squares can be classified as rhombus
This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length
Hence, the true statement is (c)
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A group of cyclists recorded the distance they have traveled.
Draw a line plot and answer the questions below.
Name
Gina
Rey
Faye
Mark
John
James
Albert
William
Nathan
Kate
Mary
Risa
Paul
Abi
Joan
Distance in
miles
40 1/2
50
35 3/4
60
45
55 1/4
60
45
40 1/2
50
45
40 1/2
60
40 1/2
35 3/4
Title:
1. How many cyclists were there?
2. What was the longest distance traveled?
3. How many cyclists traveled less than 50 miles?
4. What was the most common distance traveled by
the cyclists?
5. How many more cyclists traveled 45 miles than
55 1/4 miles?
6. How many cyclists traveled more than 45 miles
A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.
The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.
Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.
Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.
A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
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HELP!!!!!!!!!!!!!!!!!!
Answer:
D 0.89275
Step-by-step explanation:
PLS HELP ASAPнахуй, сука, я хочу ответ, ты, блядь, придурок, сука, какой ответ
Answer:
actually I can't understand your description
What is the surface area, in square centimeter, of the square pyramid?
Under certain conditions, the average cost of driving a medium sedan in 2012 was $0.69 per mile. How much would it have cost to drive such a car 16,000 miles in 2012
9514 1404 393
Answer:
$11,040
Step-by-step explanation:
Multiply the per-mile cost by the number of miles:
($0.69/mi)(16000 mi) = $11,040 . . . cost of operation in 2012
What’s the hypotenuse
PLEASE PLEASE PLEASE HELP!
19
Page 112 question 7 part 8 which equation matched the following graph A f(x)=2^xBf(x)=-2^xC f(x)=-2^xDf(x)=-3x2^x
EXPLANATION
The given graph corresponds to the function f(x)= -2^x
Hope one of y’all help me with this question.. because i was struggling!!
Please and thank you.
a) The value in four years is 2,207,626
b) The growth rate percent is 102.5 %
c) It would attain the value in 11 years.
What is a function?We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n
Let us recall that n has to do with the number of years.
a) In four years, the value of the car would be;
V = 2000000(1.025)^4
V = 2,207,626
b) The growth rate percent of the function can be obtained as;
1.025 * 100 = 102.5 %
c) To obtain the year in which the value of the car would reach 2624173.32, we have;
2624173.32 = 2000000(1.025)^n
2624173.32/2000000 = (1.025)^n
1.312 = (1.025)^n
ln1.312 = n ln (1.025)
n = ln1.312 /ln (1.025)
n = 0.272/0.025
n = 11
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a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches. Find the angle between the diagonal of the box and the diagonal of its base. The angle should be measured in radiands
Answer:
0.7246 radians
Step-by-step explanation:
According to the Question,
Given that, a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches
The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:d = √{ (12)² +(15)² } = √(144+225) = √369inches
The tangent of the angle is the ratio of the height of the box to this lengthTan∅ = 17/√369
Taking the \(Tan^{-1}\) , we have
∅ = \(Tan^{-1}\)(17/√369) ≈ 0.7246 radians
The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 55
Answer:
\(P(X = 5) = 0.166\)
Step-by-step explanation:
Given
\(Mean = 4.3\)
\(x = 5\)
Required
Determine the probability that the order is 5
This question can be answered using Poisson distribution.
\(P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}\)
Where
\(\alpha\) is used to represent the mean
and
\(\alpha = 4.3\)
\(x = 5\)
\(e = 2.71828\) ---- Euler's constant
So, we have:
\(P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}\)
\(P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}\)
\(P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}\)
\(P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}\)
\(P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}\)
\(P(X = 5) = \frac{19.9469850243}{120}\)
\(P(X = 5) = 0.1662248752\)
\(P(X = 5) = 0.166\) Approximated
the area of a circle is 616cm find the radius
Solution :
Area of circle = 616 cmWe need to calculate the radius.
We know that :
A = πr^2Here,
A is area r is radiusSubstituting values :
> 616 = (22/7) × r^2
> 616 = 22r^2 / 7
> 616 × 7 = 22r^2
> 22r^2 = 4312
> r^2 = 4312 / 22
> r^2 = 2156 / 11
> r^2 = 196
> r = 14
Question 2 of 10
How many solutions does the system of equations below have?
y=3x+4
y+6= 3x
OA. Exactly 1 solution
B. No solution
OC. More than 1 solution
OD. At least 1 solution
SUBMIT
Answer:
B, No solution
Step-by-step explanation:
If two lines are graphed, the point they intersect is the solution. However, if the slope is the same, they will never intersect
In the first and second equation, the slopes are both 3 so they will never intersect.
If Margo walks 1/4 mile in 1/12 of an hour, what is her unit rate
To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.
Distance = 1/4 mile
Time = 1/12 hour
Unit rate = Distance ÷ Time
Unit rate = (1/4 mile) ÷ (1/12 hour)
We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.
Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)
Unit rate = (3/4 mile) ÷ 1 hour
Unit rate = 3/4 mile per hour
Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.
Answer:
3mph
Step-by-step explanation:
1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.
60/12 = 5
12 x 1/4 = 12/4 = 3
help me with this i will mark brainlest
Answer: 388 miles in one hour.
Step-by-step explanation:
You divide 1,940 by 5.
Answer:
i dont know this sorry
\
Step-by-step explanation: