Answer:
$7,096.55
Step-by-step explanation:
[tex]\frac{1}{6}[/tex] = [tex]\frac{7}{42}[/tex]
[tex]\frac{1}{7}[/tex] = [tex]\frac{6}{42}[/tex]
[tex]\frac{6}{42}[/tex] + [tex]\frac{7}{42}[/tex] = [tex]\frac{13}{42}[/tex] This Son A and Son B's portion
Son C must be [tex]\frac{42}{42}[/tex] - [tex]\frac{13}{42}[/tex] = [tex]\frac{29}{42}[/tex]
[tex]\frac{29}{42}[/tex] of some number is 29400
[tex]\frac{29}{42}[/tex] x = 29400 Multiple by sides by [tex]\frac{42}{29}[/tex]
x = [tex]\frac{42}{29}[/tex] x 29400
x = 42579.31 Rounded to the nearest penny
This number is the total
42579.31 x 1/6 = 7096.55 Rounded to the nearest penny
question 161 pts suppose a 95% confidence interval for obtained from a random sample of size 13 is (3.5990, 19.0736). find the upper bound of a 90% confidence interval for (round off to the nearest integer).
The area of the base of the oblique pentagonal pyramid is 50 cm2 and the distance from the apex to the center of the pentagon is 6startroot 2 endroot cm. the measure of ∠acb is 45°. the height, ab, is cm. the volume of the pyramid is cm3.
The height, ab, is 6 cm
The volume of the pyramid is 100 cm3.
we know that
ABC is a right triangle and we know that
∠ACB=45°
AC=hypotenuse------ 6√2 cm
sin 45=AB/AC----- AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm
AB=6 cm
we already know that the formula for getting the volume of a pyramid
volume of the pyramid=(1/3)*Area of the base*height
We will now Substitute all the values in the formula;
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6---->
1/3*300
300/3
1=00 cm³
volume=100 cm³
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Answer:
6, 100
Step-by-step explanation:
right on edge
Find the slope of the line that passes through the points. If necessary, leave your answer as a fraction, not a mixed number.
(-1, 7) and (5, 7)
(1, 2) and (5, 0)
The slope of the lines in the question are 0 and -1/2
Slope of a LineSlope of a line is the change in y-coordinate with respect to the change in x-coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = y₂ - y₁ / x₂ - x₁
a)
Taking the two points;
m = 7 - 7 / 5 - (-1)
m = 0
The slope is equal to 0
b)
Using the same formula above;
m = y₂ - y₁ / x₂ - x₁
m = 0 - 2 / 5 - 1
m = -2 / 4
m = -1/2
The slopes are 0 and -1/2
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What is the angle between two lines having slopes as 1 & 1?
The angle between two lines having slopes as 1 and 1 is 0°. thus, the two lines coincide with each other.
The formula to find the angle between two lines having slop m1 and m2 is
tan θ= ± (m2 – m1 ) / (1+m1m2)
Substituting the value of slope in this equation
tan θ = ± (1-1)/ (1 + 1×1)
tan θ =± 0
θ= [tex]tan^{-} (0)[/tex]
θ = 0°
When two straight lines cross, two sets of angles are created. The intersection creates two acute angles and two obtuse angles. The slopes of the intersecting lines have an impact on the angles' absolute values.
It is also important to note that because the slope of a line parallel to the y-axis is indeterminate, it is impossible to calculate the angle created by two lines intersecting.
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A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 20 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 22 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Using the equation we know that the flowerbed is 2250 feet away from the hive.
What are equations?A mathematical assertion that has an "equal to" symbol between two expressions with equal values is known as an equation.
As in 3x + 5 Equals 15, for instance.
So, let's say the flowerbed is feet away from the hive.
The bee travels directly from its hive at a speed of 20 feet per second to a flowerbed before returning at a speed of 12 feet per second.
Time = distance/speed
Therefore, the bee needed x/20 seconds to get to the flowerbed and x/12 seconds to fly back to the hive.
The bee spends a total of 20 minutes, or 2060 seconds, or 1200 seconds away from the hive. I
t spends 15 minutes, or 1560 seconds, at the flowerbed.
Consequently, the equation will be:
x/20 + x/12 + 900 = 1200
3x + 5x/60 = 300
8x = 60 * 300
8x = 18000
x = 18000/8
x = 22550
Therefore, using the equation we know that the flowerbed is 2250 feet away from the hive.
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Complete question:
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 20 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 22 minutes.
What equation can you use to find the distance of the flowerbed from the hive?
what is:
1+1?
please give a step by step explanation and I will give brainly
Answer:
2
Step-by-step explanation:
count your fingerssssssssssssd
Complete the factored form.
12x²-16x-3= (2x - 3)()
Answer: 2x(x^-4)(x^-2)
A rectangle has a length of 24 inches and a width of 13 inches. If 1 inch = 2.54 centimeters, find the area of the rectangle in centimeters. Round the answer to the nearest tenth.
A. 48.4 cm2
B. 480.4 cm2
C. 792.5 cm2
D. 2,012.9 cm2
The area of the rectangle in centimeter square is 2013 cm².
How to find the area of a rectangle?The area of a rectangle is the product of its length and width.
If the values of area and one of the sides of a rectangle is given the other one can be found by forming a suitable equation.
The length and width of the given rectangle can be written in cm as follows,
The length is given as 24 × 2.54 = 60.96 cm
And, the width is 13 × 2.54 = 33.02 cm
Now, the area of the rectangle can be obtained by taking the product of length and width as follows,
Area = 60.96 × 33.02
= 2012.89
Which can be approximated as 2013 cm².
Hence, the area of the rectangle is obtained as 2013 cm².
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8. Two triangles have the same perimeter. One of
the triangles is an equilateral triangle with all of the
side lengths equaling x + 1. The other triangle has
side lengths of 2x, x, and 4x - 7. Find the perimeteter
of the equilateral triangle.
Answer:
he perimeter of the equilateral triangle is $3(x + 1) = 3x + 3$.
Step-by-step explanation:
The perimeter of the equilateral triangle is $3(x + 1)$ since the sides are all equal and there are three sides. The perimeter of the other triangle is $2x + x + 4x - 7$, which is also equal to $3(x + 1)$
What is the slope of any line perpendicular to Y 7x 8?
To get the slope, use the slope-intercept form and calculate the reciprocal of the slope of the given line .The slope of any line perpendicular to Y = 7x + 8 is -7.
The equation of any line perpendicular to Y = 7x + 8 is in the form of y = mx + b where m is the slope.
To get the slope, use the slope-intercept form and calculate the reciprocal of the slope of the given line.
The slope of the given line (Y = 7x + 8) is 7. Therefore, the slope of the line perpendicular to it is the reciprocal of 7, which is -7.
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can i get the formulas to find (time, rate, and principle) in simple interest. (JUST THE FORMULAS)
Answer:
Sure! The formula for simple interest is I = P x R x T, where I is the interest, P is the principal, R is the interest rate, and T is the time.
To find the interest, you would plug in the values for P, R, and T and solve the equation. For example, if you have a principal of $500, an interest rate of 10%, and a time of 5 years, the formula would look like this: I = 500 x 0.1 x 5 = $250.
To find the principal, you would rearrange the formula to solve for P. This would give you P = I / (R x T). Using the same values as before, the formula would look like this: P = 250 / (0.1 x 5) = $500.
To find the interest rate, you would rearrange the formula to solve for R. This would give you R = I / (P x T). Using the same values as before, the formula would look like this: R = 250 / (500 x 5) = 0.1.
To find the time, you would rearrange the formula to solve for T. This would give you T = I / (P x R). Using the same values as before, the formula would look like this: T = 250 / (500 x 0.1) = 5.
I hope this helps! Let me know if you have any other questions
what does a z-score tell us? question 14 options: 1) how many standard deviations an observation is from the mean. 2) the middle value if the data is in ascending order. 3) the average of a data set. 4) how many standard deviations an observation is from the median.
If X is a normally distributed random variable and X ~ N(μ, σ), then the z-score is: z = x−μ/ σ
The z-score indicates the number of standard deviations that the value x is above (right) or below (left) the mean μ. Values of x greater than the mean have positive z values, and values of x less than the mean have negative z values. The z-score of x is zero if x is equal to the mean.
The standard normal distribution is the normal distribution of standardized values called z-scores. Z-scores are measured in units of standard deviation. For example, if the normal distribution has a mean of 5 and a standard deviation of 2, then the value 11 is 3 standard deviations above (or to the right of) the mean. Here's the calculation:
x = μ + (z)(σ)
= 5 + (3)(2)
= 11
The standard normal distribution has zero mean and one standard deviation. The transformation
z= x − μ/σ
gives the distribution Z ~ N(0, 1). The value x comes from a normal distribution with mean μ and standard deviation σ.
The next two videos explain what it means to have a "normal" distributed data set.
If X is a random variable and follows a normal distribution with mean µ and standard deviation σ, the rule of thumb states within 1 standard deviation of the mean.
About 95% of the x-values lie between –2σ and +2σ of the mean µ (within two standard deviations of the mean).
About 99.7% of the x-values lie between –3σ and +3σ of the mean μ (within 3 standard deviations of the mean) .
Almost all x-values are within 3 standard deviations of the mean.
1) +1σ and -1σ have z-scores of +1 and -1 respectively.
2) +2σ and -2σ have Z-scores of +2 and -2 respectively.
3) +3σ and -3σ have Z-scores of +3 and -3 respectively.
The rule of thumb is also known as the 68-95-99.7 rule.
The exact value used to calculate the median; further decreasing the minimum value or increasing the maximum value will not change the median value. Therefore, the median does not use all the information in the data and is therefore shown to be less efficient than the mean or average, which uses all the values in the data. To calculate the average, add the observations and divide by that number.
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A food truck sells two types of food: a hot dog for 6$ and a hamburger for 8$. Yesterday, the food truck sold a total of 106 tickets for a total of 1106$.
Write the equations to find the number of hot dogs and hamburgers sold. Let be the number of hot dogs sold and be the number of hamburgers sold.
The minimum revenue by selling tickets will be $363 thus there will be no solution.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Suppose x is the number of hot dogs sold and y is the number of hamburgers sold.
As per the given,
hot dog for 6$ and a hamburger for 8$
6x + 8y = total cost
6x + 8y = 1106
Total x + y = 106
By substitution,
6(106 - y) + 8y = 1106
636 - 6y + 8y = 1106
2y = 470
y = 235
And, x = -129
Since the number cannot be negative thus it will be an incorrect question.
Hence "There won't be a solution because the minimum revenue from ticket sales will be $363.".
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Which number is the strongest correlation? 0.45 -0.75 0.12 0.87 -0.93
Answer:
The strongest correlation is 0.87. In general, a correlation is a measure of the strength and direction of a linear relationship between two variables. Correlation values range from -1 to 1, with -1 indicating a perfect negative linear relationship, 0 indicating no linear relationship, and 1 indicating a perfect positive linear relationship. Among the numbers you have provided, 0.87 is the only one that is greater than 0, indicating a positive linear relationship between the two variables. This means that as one variable increases, the other variable also tends to increase. This is the strongest possible positive linear relationship, making 0.87 the strongest correlation among the numbers you have provided.
Step-by-step explanation:
Solve for x.3(-2x - 1) = 2(x + 5)
A) -138
B) -34
C) 138
D) 34
Answer:
[tex]a. \: x = \frac{ - 13}{8} [/tex]
Step-by-step explanation:
[tex]1. \: - 6x - 3 = 2x + 10 \\ 2. \: - 3 = 2x + 10 + 6x \\ 3. \: - 3 = 8x + 10 \\ 4. \: - 3 - 10 = 8x \\ 5. \: - 13 = 8x \\ 6. \: \frac{ - 13}{8} = x \\ 7. \: x = \frac{ - 13}{8} [/tex]
After solving the given equation 3(-2x - 1) = 2(x + 5), we know that the value of x is (A) -13/8.
What are equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.
A formula would be 3x - 5 = 16, for instance.
When this equation is solved, we discover that the value of the variable x is 7.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
So, we got the equation:
3(-2x - 1) = 2(x + 5)
Now, solve for x as follows:
3(-2x - 1) = 2(x + 5)
-6x - 3 = 2x + 10
-6x - 2x = 10 + 3
-8x = 10
x = -13/8
Therefore, after solving the given equation 3(-2x - 1) = 2(x + 5), we know that the value of x is (A) -13/8.
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Correct question:
Solve for x.3(-2x - 1) = 2(x + 5)
A) -13/8
B) -3/4
C) 13/8
D) 3/4
Answer question with steps asap I’ll give brainliest! Use photo above
This is a table of values of three functions at selected values of x.
It is asking for h(f(-2))
Its saying, take f(-2), and take whatever you get from that and put it into h(x)
So, find f(-2).
Find x = -2, then see what f is there.
f(-2) = -1
So, find h(-1)
h(-1) = 0
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the number?
Answer: x = 13/4
Step-by-step explanation:
Easy, let's use x to define the number:
3x + 5 = 7x - 8
We take the 3x to the other side:
5 = 4x - 8
We take the 8 to the other side:
13 = 4x
x = 13/4
Goran went on a vacation for 6 weeks last summer. How many days long was Goran’s vacation
Answer:
Step-by-step explanation: D-days, W=weeks
7d times 6w=42 d
the expected frequencies in a chi-square test . a. are always whole numbers b. can contain fractions or decimal values c. can contain both positive and negative values d. can contain fractions and negative numbers
The expected frequencies in a chi-square test is can contain fractions or decimal values
What is Chi-Square Test?
When the sample sizes are large, a chi-squared test is a statistical hypothesis test used in the study of contingency tables. To put it another way, the main purpose of this test is to determine if two categorical factors have independent effects on the test statistic.
What is Expected Frequencies?
A theoretical frequency that we anticipate to show up in an experiment is known as an expected frequency.
Expected frequency = Expected percentage * Total count
The expected frequencies in a chi-square test is can contain fractions or decimal values
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Following the route shown, what is the total distance traveled by the architectural tour if it ends where it started? What properties and theorems did you use to find the distance?
Using, -------------------- it can be shown that the two triangles formed are congruent. Then using ,---------------------------- the length of the road from the intersection to the first turn can be found to be ---------------------- feet. Thus, the total length of the tour is --------------- feet.
Answer's first blank:
Side-Angle Side
CPCTC
Side- Side - Side
Answer's second blank:
Side- Side - Side
CPCTC
Side-Angle Side
The theorems used are:
First blank: side-angle-side theorem
Second blank: CPCTC
Third blank: 200 feet
Fourth blank: 1,700 feet.
What is the Side-angle-side Congruence Theorem (SAS):Wen two triangles have a pair of included congruent angles and two pairs of corresponding congruent sides, then both triangles are congruent to each other by the side-angle-side theorem.
Furthermore, if two triangles are known to be congruent to each other, the CPCTC states that "corresponding parts of corresponding triangles are congruent". This means all angles and all sides that corresponds to each other are congruent.
Therefore:
Using the side-angle-side theorem it can be shown that the two triangles are congruent to each other.
Then using CPCTC , the length of the road from the intersection to the first turn would be 200 feet.
The total length of the tour would be = 2(200 + 300 + 350)
= 1,700 feet.
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Using, SAS it can be shown that the two triangles formed are congruent. Then using ,-CPCTC the length of the road from the intersection to the first turn can be found to be 200 feet. Thus, the total length of the tour is 1,700 feet.
What is SAS?The SAS Triangle Theorem indicates that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
By the use of the corresponding parts of congruent triangles are congruent (CPCTC) rule, we can state that the missing side is 200 feet. If that is the case, then the total distance traveled can be obtained by adding all the lengths of triangles:
=200 + 200 + 300 + 350 + 350 + 300
= 1,700 feet.
Hence, te total length of the tour is 1,700 feet.
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Which reason justifies step 6 below?
Use the diagram.
The congruence theorem that justifies the similar triangles of triangles EFH and GFH is given as follows:
D. AAS.
Why the two triangles are similar?For the triangles EFH and GFH in this problem, we have that:
The angles E and G have the same measure.The right angles have the same measure.The side lengths HF is the same, by the reflective property of congruence.These three features are used to identify the congruence theorem as follows.
Then the congruence theorem that justifies the similar triangles of triangles EFH and GFH is the Angle-Angle-Side theorem, given by option D, as:
Two angles, the bottom angles and the right angle have the same measure.The non-included side HF has the same measure.More can be learned about congruence theorems at https://brainly.com/question/29994750
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In circle E with m/DEF = 60°, find the m/DGF.
کے
G
E
F
D
Answer: its the 3 anwers
Step-by-step explanation:
Given the geometric sequence 512 over 243 comma negative 128 over 81 comma 32 comma 27 comma and continuing comma what is a6?.
The 6th term of the geometric sequence is -1/2.
Here we have to find the a6the term of the geometric sequence.
Data given:
The series = 512/243, -128/81, 32/27.....
The formula to find the nth term of the geometric sequence:
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where [tex]a_{n}[/tex] = nth term of the sequence
a = first term of the sequence
r = common ratio
common ratio(r) = -128/ 81 ÷ 512/ 243
= -128/81 × 243/512
= -3/4
Now we have to find the 6th term of the series.
[tex]a_{6}[/tex] = 512/ 243 (-3/4[tex])^{6-1}[/tex]
= 512/243 (-3/4[tex])^{5}[/tex]
= 512/243 × 243/1024
= -512/1024
= -1/2
Therefore the 6th term is -1/2.
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Please help. I’m struggling so bad. It’s ASAP :((
The interquartile range of the given data set is 2.16.
The given data is 2.35, 1.56, 1.77, 2.45, 6.02, 4.38, 2.77, 5.23, 2.22 and 3.26.
What is the interquartile range?The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.
Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1
The order of the given data is 1.56, 1.77, 2.22, 2.35, 2.45, 2.77, 3.26, 4.38, 5.23, 6.02.
Here,
Q1= 1/4 (n+1) = 11/4= 2.75
= 2.22
Q3 = 3/4 (n+1) = 8.25
= 4.38
Q2 =4.38-2.22
= 2.16
Therefore, the interquartile range of the given data set is 2.16.
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I need somebody to help me on this. 20 points. Please
Answer:
I have no idea sorry
Step-by-step explanation:
i'm in middle school
suppose s is the set of integers that are multiples of 3, and t is the set of integers that are odd. construct a bijection between the two sets, and prove that it is both onto and one-to-one.
A bijection between two sets is constructed below and also proved that it is both one-one and onto.
What is meant by one-one function?The phrase "one-to-one function" should not be mistaken with "one-to-one correspondence," which is used to describe bijective functions, in which each element in the codomain is a precise mirror image of a single element in the domain.
Any function that can work with the operations of two algebraic structures is said to be a homomorphism between them. An injective homomorphism is also referred to as a monomorphism for any commonly occurring algebraic structures, particularly vector spaces.
Let t∈T
Then,
t=2k+1, for some k∈Z
Let s=3k
Then,
s∈S and f(s)=2(s/3)+1
=2k+1
=t
Therefore, for every t∈T there exists s∈S such that f(s)=t
Thus, f is onto.
Hence,
f:S ----> T is a bijective mapping
⇒|S|=|T|
Now, we have to define a mapping f:S ---?T
By f(x)=2(x/3)+1, ∀x∈S
Given,
S={3k|k∈Z} and T={2k+1:k∈Z}
We have to prove:
|S|=|T|
Let x, y∈ S with f(x)=f(y)
Then,
2(x/3)+1=2(y/3)+1
2(x/3)=2(y/3)
(x/3)=(y/3)
x=y
So, f is one-one
Now, we have proved that f is both one-one and onto.
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Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answer:
x=22.5 please mark me as brainlyiest
Step-by-step explanation:
2(x-3)=49
2x-6=49
2x=55
x=22.5
Answer: x=10 x=-4
Step-by-step explanation:
[tex](x-3)^2=49\\\\(x-3)=7^2[/tex]
Extract the square root of both parts of the equation:
[tex]\sqrt{(x-3)^2}=\sqrt{7^2} \\\\x-3=б7\\\\x-3=7\\x-3+3=7+3\\x=10\\\\x-3=-7\\x-3+3=-7+3\\x=-4[/tex]
three and fifty-four thousandths written in number form
Answer:
3.054
i think
The sum of 3 consecutive odd numbers is 51.
What is the second number in this sequence?
Answer:
17
Step-by-step explanation:
15 + 17 + 19= 51
How do you write a linear function step by step?
The following two methods are used to write a linear function;
1. Write linear functions from graph
2. Write linear equation from slope and ordered pairs
Given,
Steps to write linear functions;
The slope and the y-intercept are the two pieces of data required to build a linear function. Once these two variables have been established, you can replace m and b with them in the slope-intercept equation y = mx + b.
There are two methods;
1. Write linear functions from graph
By monitoring the linear function's rise and run, determine the slope.Determine the point at which the function crosses the y-intercept to determine the y-intercept.Replace the function with the slope and y-intercept f(x) = mx + b2. Write linear equation from slope and ordered pairs;
We only have half the information if we are provided the slope and an ordered pair. Although we now know the slope, we still need to determine the y-intercept. The following steps can be used to calculate this using the slope-intercept form:
By putting the slope and ordered pair (input, output) into f(x) = mx + b and solving for b, one can determine the y-intercept.Slope and y-intercept should be substituted into the equation f(x) = mx + b.
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