Answer:
500,000
Step-by-step explanation:
There are 3 girls and 4 boys taking music lessons. Write the ratio that compares the number of boys taking music lessons to the total number of students taking music lessons.
Answer:
4:7
Step-by-step explanation:
Answer:
4 boys and 7 students in total
Step-by-step explanation:
so 4:7
Nalini thinks of an number. She doubles it and adds 5. Her answer is sixteen more than the number she thought. What number did Nalini think of? a) 10 b) 11 c)12 d) 6
Answer:
B. 11
Step-by-step explanation:
We can try it for each
10*2+5=25
25-10=15❌
11*2+5=27
27-11=16 ✔
12*2+5=29
29-12=17❌
6*2+5=17
16-6=11❌
So it's B
the mariana trench is about 11km deep. mount everest is about 29,000 ft high. what is the total height change from the top of mount everest to the bottom of the mariana trench, expressed in miles?
Using unit conversions the total height change from the top of mount Everest to the bottom of the Mariana trench is 12.3 miles
We know that 1 km = 0.62136 miles and 1 foot = 0.000189 miles
Depth of Mariana Trench (d) = 11 km = 11 × 0.62136
= 6.835 miles
Height of Mount Everest (h) = 29000 ft = 29000 × 0.000189
= 5.492 miles
Therefore the total height difference top of Mount Everest and to bottom of the Mariana Trench is given by
H = Depth of Mariana Trench + Height of Mount Everest
H = d + h
H = 6.835 miles + 5.492 miles
H = 12.327 miles
H = 12.3 miles
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PLEASE HELP!! ASAP 10 POINTS
Simplify negative 9/6 divided by 3 over negative 2.
a.3 b.1 c.−1 d.−3
Answer:
(b)
Step-by-step explanation:
(-9/6) / (-3/2)
keep the first fraction, change division to multiplication, then flip the second fraction
-9/6 x 2/-3
multiply the numerators by each other and do the same with the denominators
-9x2 / 6x-3
-18 / -18
simplify
answer = 1 (negative divided by negative will always equal a positive)
Answer:
b or 1
Step-by-step explanation:
took the test
Rocky Mountain Tire Center sells 7,000 go-cart tires per year. The ordering cost for each order is $40, and the holding cost is 40% of the purchase price of the tires per year. The purchase price is $23 per tire if fewer than 200 tires are ordered, $18 per tire if 200 or more, but fewer than 5,000 , tires are ordered, and $15 per tire if 5,000 or more tires are ordered. a) How many tires should Rocky Mountain order each time it places an order?
To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.
The EOQ formula is given by: EOQ = √((2DS) / H)
Where: D = Annual demand (7,000 go-cart tires)
S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)
we need to determine the purchase price per tire based on the quantity ordered.
EOQ = √((2 * 7,000 * 40) / (0.4 * 15))
=118 tires
they should order approximately 118 tires.
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He ordered up Tennessee resembles a trapezoid with bases 342 miles and 438 miles and height 111 miles approximately the area of Tennessee by finding the area of the the area of this trapezoid
We can draw the following picture:
where a is the long base, b is the short base and h is the altitude.
The area of a trapezoid is given by
\(A=\frac{(a+b)h}{2}\)By susbtituting the given values into the area formula, we get
\(\begin{gathered} A=\frac{(438+342)111}{2} \\ A=\frac{(780)111}{2} \\ A=43290mi^2 \end{gathered}\)that is, the area is equal to 43,290 mi^2
When you are trying to discover whether there is a relationship between two categorical variables, why is it useful to transform the counts in a crosstabs to percentages of row or column totals
When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.
For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.
Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.
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The Mariana Trench is 11 km below sea level. The Peru-Chile Trench is 8 km below sea level. What is the difference of depths between them, and which trench is deeper?
−19 km, and the Mariana Trench is deeper
19 km, and the Peru-Chile Trench is deeper
−3 km, and the Peru-Chile Trench is deeper
3 km, and the Mariana Trench is deeper
Answer:
d) 3 km, and the Mariana Trench is deeper
Step-by-step explanation:
The Mariana Trench is, so to speak, -11 km while the Peru-Chile Trench is -8 km (because they are both below sea level).
For determining the difference between the two, you have to understand that they're both negative, and there is a 3 km difference between -11 and -8. Subtracting a negative makes a positive.
(-8) - (-11) = 3
Since the Mariana Trench is more kilometers below sea level, it's deeper.
determine the cm of the uniform thin l-shaped construction brace shown in (figure 1) . suppose that a = 2.11 m and b = 1.42 m
the length of the uniform thin L-shaped construction brace is approximately 2.54 m.
The length of the uniform thin L-shaped construction brace can be determined by utilizing the given dimensions of a = 2.11 m and b = 1.42 m. To find the length of the brace, we can treat the two sides of the L shape as the hypotenuse of two right triangles. By applying the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can calculate the length of the brace.
Using the Pythagorean theorem, the calculation proceeds as follows:\(c^2 = a^2 + b^2\). Substituting the given values, we have\(c^2 = (2.11)^2 + (1.42)^2\), resulting in\(c^2 = 4.4521 + 2.0164,\) which simplifies to \(c^2\) = 6.4685. Taking the square root of both sides, we find that c is approximately equal to 2.54 m.
Hence, based on the given dimensions, the length of the uniform thin L-shaped construction brace is approximately 2.54 m.
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I need a tutor very smart to answer this question
Given the expression :
\(\frac{1}{3}b+\frac{2}{3}b-\frac{5}{6}(b+1)=?\)The expression will be equal:
\(\begin{gathered} \frac{1}{3}b+\frac{2}{3}b-\frac{5}{6}b-\frac{5}{6} \\ \\ =(\frac{1}{3}b+\frac{2}{3}b-\frac{5}{6}b)-\frac{5}{6} \\ \\ =\frac{1}{6}b-\frac{5}{6} \end{gathered}\)so, the answer is option 4)
\(\frac{1}{6}b-\frac{5}{6}\)solve the given initial-value problem. the de is homogeneous. xy2 dy dx = y3 − x3, y(1) = 2
Answer: The differential equations is
y3 3x3logx = 8x3.
Step-by-step explanation:
break the given original- value problem. The DE is homogeneous. xy2dy/ dx = y3- x3; y( 1) = 2.
result
Given a homogenous discriminational equation, xy2 dy/ dx = y3- x3
xy2dy/ dx = y3- x3
dy/ dx = ( y3- x3)/ xy2
dy/ dx = (( y/ x) 3- 1)/( y2/ x2)---( 1)
Put y/ x = v ⇒ y = xv
separatew.r.t x
dy/ dx = x.dv/ dx v
Equation( 1) becomes,
⇒ dv/ dx v = ( v3- 1)/ v2
⇒ dv/ dx = (( v3- 1)/ v2)- v
⇒ dv/ dx = ( v3- 1- v3)/ v2
v2. dv = -1/x.dx
Integrate on both sides, we get
∫ v2. dv = ∫- 1/x.dx
v3/ 3 = - logx C
1/3( y3/ x3)) log x = C( 2)
Now, given that y( 1) = 2
Substituting y = 2 and x = 1 in equation( 2)
(1/3) ×(23/13)) log 1 = C
C = 8/3
From equation( 2), we get
⇒( y3/ 3x3) logx = 8/3
thus, the needed differential equation is y3 3x3logx = 8x3.
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Use a cubic spline to approximate f(7) using the points: (0, 1),
(2, 5), (4, 7), (6, 14), (8, 18).
To approximate f(7) using a cubic spline, we can use the given points (0, 1), (2, 5), (4, 7), (6, 14), and (8, 18) to construct a piecewise cubic function that smoothly interpolates between the points.
The cubic spline is a commonly used method for curve fitting and interpolation. By constructing a cubic spline, we can estimate the value of f(7) based on the fitted curve.
To approximate f(7) using a cubic spline, we start by constructing a piecewise cubic function that smoothly interpolates between the given points. This involves dividing the interval [0, 8] into smaller subintervals and fitting a cubic polynomial to each subinterval. The cubic polynomial is determined by the values of the function and its derivatives at the endpoints of the subinterval.
By constructing the cubic spline, we obtain a continuous and smooth function that closely matches the given data points. Once the cubic spline is constructed, we can evaluate f(7) by substituting x = 7 into the spline function. The resulting value will be an approximation of f(7) based on the fitted curve.
It is important to note that the specific construction of the cubic spline and the subsequent approximation of f(7) depend on the choice of interpolation method and the algorithm used. Various computational software packages provide functions for calculating cubic splines and performing the interpolation, which can yield accurate approximations for the given data points.
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Any genius out there to solve this?
which is the missing number in the sequence below?
5,6,9,15,?,40
Answer:
25
Step-by-step explanation:
The pattern is + 1, + 3, + 6,... i.e. + 1, + (1 + 2), + (1 + 2 + 3),...
.'. Missing number = 15 + (1 + 2 + 3 + 4) = 25.
Answer: 25!
Step-by-step explanation:
5, 6, 9, 15, ?, 40
5 + 1 = 6
6 + 1 + 2 = 6 + 3 = 9
9 + 1 + 2 + 3 = 9 + 6 = 15
15 + 1 + 2 + 3 + 4 = 15 + 10 = 25
25 + 1 + 2 + 3 + 4 + 5 = 25 + 15 = 40
Construct a tangent to a circle through a point outside the circle using the construction tool. insert a screenshot of the construction here. alternatively, construct a tangent to a circle through a point outside the circle by hand using a compass and straightedge. leave all circle and arc markings. (10 points)
Tangent of a circle is a line which touches the circle at a point from outside the circle.
Given a tangent to a circle through a point outside the circle.
We have to draw a tangent to a circle from point outside the circle.
Tangent of a circle is a line which touches the circle at a point from outside the circle.. The point at which tangent touches the circle is known as point of contact.The radius of the circle and tangent are perprndicukar to each other at the point of contact. There cannot be any tangent to the circle through a point inside the circle. There can be one tangent to a point on the circle. The steps of drawing a tangent to a circle are as under:
1) Draw a circle with the radius neede with center O.
2) Join center of the circle O and any point P on the circle OP is the radius of the circle.
3) Draw a line perpendicular to radius OP through point P which is the intersection point of tangent and circle.
This line is the tangent to the circle at P.
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Answer:
igu
you could crop out question n use pic :)
A card is randomly chosen from the cards in the image. Find the probability of choosing the cards with either Q or R on them.
P(Q or R) = ________
The probability of choosing cards either Q or R when a card is drawn from a deck of 8 cards is 0.25.
Given that a card is randomly chosen from 8 cards shown in figure.
We have to calculate the probability of choosing either Q or R when a card is drawn from those 8 cards.
Probability means calculating the likeliness of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.
Number of cards=8
Number of repeated cards=0
Number of cards showing Q and R =1 each.
Probability of getting Q or R is P(X=Q)+P(X=R)
= 1/8+1/8
=2/8
=1/4
=0.25
Hence the probability of getting either P or Q when a card is drawn from 8 cards is 0.25.
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Brown Middle School wants to keep
seventh-grade dassroom sizes at a
maximum of 22 students per
dassroom. If there are 300 seventh-
grade students and no classroom can
have more than 22 students, how
many dassroom teachers are needed?
A At least 10
B At least 13
C At least 14
D At least 15
Answer:
D
Step-by-step explanation:
Divide 300 by 22. Using an estimate, 300/20 is 15 so I would say at least 15.
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Rhea had a score of 70 on her first quiz and a score of 77 on her second quiz. What is the percent increase from her first quiz score to her second quiz score?
i already know the answer i just want to test you guys because if you answer this question correctly you at least get 10 pints
Answer:
10%
The increase of her score would be 7 so 7 over 70 which would = to .10 and .10 as a percent is 10%.
Add or subtract to simplify(4x - 2x^3) +(5x^3 - 4x + 5)
Answer: 4x -8+ 125x -4x +5
a company produces optical-fiber cable with a mean of 0.7 flaws per 100 feet. what is the probability that there will be exactly 4 flaws in 1400 feet of cable? round your answer to four decimal places.
The probability that there will be exactly 4 flaws in 1400 feet of cable is 2.39 x 10^-6.
Given that a company produces optical-fiber cable with a mean of 0.7 flaws per 100 feet. To find the probability that there will be exactly 4 flaws in 1400 feet of cable, we have to use the Poisson probability distribution formula.Poisson Probability Distribution Formula:
The probability of x successes in a Poisson experiment is given by:
P(x; λ) = (e-λ λx)/x!
Where,
λ = mean rate of success per unit time or unit area or unit volume.In the given question,
λ = 0.7 flaws per 100 feet = 0.7/100 = 0.007 flaws per feet
Total distance of cable = 1400 feet
Let x = number of flaws in 1400 feet of cable
To find:
P (x = 4), λ = 0.007 and x = 4
Putting the values in the Poisson probability distribution formula:
\(P(x = 4; 0.007) = (e^-0.007 × 0.007^4)/4! = (0.00005736)/24 = 2.39 x 10^-6\)
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the terminal side of an angle, Theta, whose sine value is One-half
Theta has a reference angle of 30° and is in Quadrant I or II.
Sin(theta) = ½
Basic angle: 30
What is the reference angle?
The acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle sandwiched between the terminal side and the x-axis.
Angles: 30,
180-30 = 150
Because sin is positive in quadrants 1 and 2.
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60,221,229 is a Pythagorean triple
critical thinking, teamwork, leadership, and professionalism are some of the knowledge competencies needed for career readiness. True or False
a) what are the rental rates for approximately 95% of rentals? b) what is the approximate probability that a rental rate is between 525 and 650 days? c) how many standard deviations from the mean is a rate of $630?
a) The rental rates for approximately 95% of rentals fall between $550 and $650.
b) The approximate probability that a rental rate is between $525 and $650 is 0.8413.
c) A rate of $630 is 0.12 standard deviations above the mean.
a) To find the rental rates for approximately 95% of rentals, we can use the empirical rule, also known as the 68-95-99.7 rule. This rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% of the data falls within two standard deviations of the mean, and approximately 99.7% of the data falls within three standard deviations of the mean.
Therefore, for this distribution with a mean of $600 and a standard deviation of $25, we can find the rental rates for approximately 95% of rentals as:
Lower Bound: $600 - (2 × $25) = $550
Upper Bound: $600 + (2 × $25) = $650
b) To find the approximate probability that a rental rate is between 525 and 650, we can use the standard normal distribution table to find the area under the curve between those two values. Since the standard deviation is known, we can standardize the values by subtracting the mean and dividing by the standard deviation.
P(525<x<650) = P( (525-$600)/$25 < (x-$600)/$25 < (650-$600)/$25) = P(-1.2<z<1.2)
The area under the standard normal curve between -1.2 and 1.2 is approximately 0.8413. Therefore, the approximate probability that a rental rate is between $525 and $650 is 0.8413.
c) To find how many standard deviations from the mean is a rate of $630, we can use the formula:
(x - mean) / standard deviation
In this case:
(630 - 600) / 25 = 3/25
So a rate of $630 is 0.12 standard deviations above the mean.
To summarize, the rental rates for approximately 95% of rentals fall between $550 and $650, the approximate probability that a rental rate is between $525 and $650 is 0.8413, and a rate of $630 is 0.12 standard deviations above the mean.
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The question is -
The monthly apartment rental rates near Enterprise College approximate a symmetrical, bell-shaped distribution. The sample means the rental rate is $600; the standard deviation is $25.
a) what are the rental rates for approximately 95% of rentals?
b) what is the approximate probability that a rental rate is between 525 and 650 days?
c) how many standard deviations from the mean is a rate of $630?
Which expressions are equivalent to the slope of the line below? ->
The math department is putting together an order for new calculators. The students are asked what model and color they
prefer.
Which statement about the students' preferences is true?
A. More students prefer black calculators than silver calculators.
B. More students prefer black Model 66 calculators than silver Model
55 calculators.
C. The fewest students prefer silver Model 77 calculators.
D. More students prefer Model 55 calculators than Model 77
calculators.
The correct statement regarding the relative frequencies in the table is given as follows:
D. More students prefer Model 55 calculators than Model 77
How to get the relative frequencies from the table?For each model, the relative frequencies are given by the Total row, as follows:
Model 55: 0.5 = 50% of the students.Model 66: 0.25 = 25% of the students.Model 77: 0.25 = 25% of the students.Hence Model 55 is the favorite of the students, and thus option D is the correct option for this problem.
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Find the values of the variables. In this question, you will record the value for Z. Round
to the nearest hundredth,
3
Answer:
sheeeeeeeeeeeeeeeeeeeeesh
slope 3, passes through (0-2)
Answer:
y = 3x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 and passes through (0, - 2 ) ⇒ c = - 2
y = 3x - 2 ← equation of line
Answer:
y = 3x -2
Step-by-step explanation:
Slope: 3 and (0,-2)
b: y - (m)(x)
b= - 2 - (3)(0)
b = -2
help help help help help
Answer:
C
Step-by-step explanation:
Step 1. Add the fractions
One way you can solve this problem is by adding the fractions
1/4 + 1/6 + 5/12
1(3)/4(3) + 1(2)/6(2) + 5/12
3/12 + 2/12 +5/12
10/12
2. Multiply by 48
10/12 * 48( to find the amount of cupcakes)
40
3. Subtract
Now that we know the total number of cupcakes excluding the lemon is 40, we can do 48 - 40 , which is 8 cupcakes or C
Answer:
C. 8
Step-by-step explanation:
1/4 = 12
1/6 = 8
5/12 = 20
12+8+20=40
48-40 = 8
Simplify 2¾+(3⅜-1½) please I need your help now, and I want you to explain it accordently ,am waiting
Answer:
1⁷/15
Step-by-step explanation:
2¾(3⅜-1½)
using the rule of BODMAS
change the fractions in the bracket into improper fraction
2¾(27/8-3/2)
find LCM of the fractions in the bracket
2¾(27-12)/8
2¾(15/8)
convert the other mixed fraction to an improper fraction
11/8(15/8)= 5.15625~ 5.2
You are required to determine the relationship between Gibbs-Duhem equation and the activity coefficient of a selected binary chemical mixture (chemical A and chemical B ) in chemical industrial process. The following model is represented the excess Gibbs energy for the selected binary chemical mixture (chemical A and chemical B ). RT
G E
=X 1
lnγ 1
+X 2
lnγ 2
The Gibbs-Duhem equation says that, in a mixture, the activity coefficients of the individual components are not independent of one another but are related by a differential equation. In a binary mixture the Gibbs-Duhem relation is; x 1
( ∂x 1
∂lnγ i
) T,P
=x 2
( ∂x 2
∂lnγ 2
) T,P
The Gibbs-Duhem equation relates the activity coefficients of the individual components in a mixture. It states that the activity coefficients are not independent of each other but are related by a differential equation.
In the case of a binary mixture (chemical A and chemical B), the Gibbs-Duhem relation can be written as:
x1 * (∂x1/∂lnγ1)T,P = x2 * (∂x2/∂lnγ2)T,P
Here, x1 and x2 represent the mole fractions of chemical A and chemical B, respectively. The activity coefficients for chemical A and chemical B are denoted as γ1 and γ2, respectively.
The equation shows that the change in mole fraction of one component (x1) with respect to the change in the logarithm of its activity coefficient (lnγ1) is proportional to the change in mole fraction of the other component (x2) with respect to the change in the logarithm of its activity coefficient (lnγ2).
This relationship helps us understand how changes in the activity coefficients of the components affect each other in a binary mixture. By studying this relationship, we can gain insights into the behavior of the mixture and make predictions about its properties.
For example, let's consider a mixture of ethanol (chemical A) and water (chemical B). If the activity coefficient of ethanol (γ1) decreases, the Gibbs-Duhem equation tells us that the mole fraction of ethanol (x1) will also decrease. Similarly, if the activity coefficient of water (γ2) increases, the mole fraction of water (x2) will increase.
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