Answer:
\( \boxed{3 :2 :4:1}\)
two times a number plus three equals one half of the number plus 30. What is the number?
Answer:
17 x 2 = 34
34 = 30 + 4
4 is and -0
Step-by-step explanation:
make-believe starny_xx :0
BRAINLIEST For the fastest answer
Hello I need help on this math question
Answer: B. 829.4
Step-by-step explanation:
diameter = 12 meters
radius = 6 meters
height = 16
TSA = 2 π r(r+h)
TSA = 2(3.14) 6(6+16)
TSA = 829.4
A student takes a 15-question, multiple-choice exam with two choices for each question and guesses on each question. Assume the variable is binomial. Round the intermediate and final answers to three decimal places. Find the probability of guessing at least 11 out of 15 correctly.P(guessing at least 11 out of 15 correctly) =
The probability of guessing at least 11 out of 15 questions correctly is 0.059.
How to find the probability of guessing at least 11 out of 15 correctly?The probability of guessing any one question correctly is 1/2, and the probability of guessing any one question incorrectly is also 1/2.
Since each question is an independent trial with only two possible outcomes, this situation can be modeled using a binomial distribution with n = 15 (the number of trials) and p = 1/2 (the probability of success on each trial).
To find the probability of guessing at least 11 out of 15 correctly, we need to calculate the probability of guessing 11, 12, 13, 14, or 15 questions correctly, and then add these probabilities together.
Using the binomial probability formula, we can calculate the probability of guessing exactly k questions correctly as:
P(X = k) = (nCk) * p^k * (1-p)^(n-k)
where nCk is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.
For k = 11, we get:
P(X = 11) = (15C 11) * (1/2)¹¹ * (1/2)¹⁵⁻¹¹ = 0.042
For k = 12, we get:
P(X = 12) = (15 C 12) * (1/2)¹² * (1/2)¹⁵⁻¹²= 0.014
For k = 13, we get:
P(X = 13) = (15 C 13) * (1/2)¹³ * (1/2)¹⁵⁻¹³ = 0.003
For k = 14, we get:
P(X = 14) = (15C14) * (1/2)¹⁴ * (1/2)¹⁵⁻¹⁴ = 0.000
For k = 15, we get:
P(X = 15) = (15C15) * (1/2)¹⁵ * (1/2)¹⁵⁻¹⁵= 0.000
To find the probability of guessing at least 11 out of 15 correctly, we add these probabilities together:
P(guessing at least 11 out of 15 correctly) = P(X >= 11) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.059
Therefore, the probability of guessing at least 11 out of 15 questions correctly is 0.059.
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Solve the equation.
2x+3-2x = -+²x+5
42
If necessary:
Combine Terms
Apply properties:
Add
Multiply
Subtract
Divide
The solution to the equation is -1.5 or -3/2.
How to solve equations?We have the equation:
x² + 3-2x= 1+ x² +5
Combine Terms and subtract x² from both sides:
x² - x² + 3 -2x = 1 + 5 + x² - x²
3 -2x = 1 + 5
Add:
3 -2x = 6
Combine Terms and subtract 3 from both sides:
-2x + 3 -3 = 6 - 3
-2x = 3
Dividing by -2 we get:
x = 3/(-2)
x = -3/2
x = -1.5
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Please help! Urgent!
Answer:
Distributive property is not applied currently in Step 1
Step-by-step explanation:
3(x + 15) = y
3x + 45 = y rather than 3x + 15 = y
What is the distance on the unit circle between successive fourth roots of root3/2 - 1/2i
The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.
To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:
The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.
1. Convert the given complex number to trigonometric form:
√3/2 - 1/2i = cos(θ) + i*sin(θ)
By comparing the real and imaginary parts, we can determine the angle θ:
cos(θ) = √3/2
sin(θ) = -1/2
Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.
2. Find the angle between successive fourth roots:
Since we are interested in the fourth roots, we divide the angle θ by 4:
θ/4 = (5π/6) / 4 = 5π/24
This angle represents the angular distance between two successive fourth roots on the unit circle.
3. Calculate the distance between the two points:
To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):
Distance = (5π/24) * 1 = 5π/24
Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.
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Multiply the following matrices and find the value of the element in the 2nd row 3rd column of the product AB.
A =
0 -2 3 -3
6 -1 1 2
4 -4 5 7
B =
0 2 3
6 -1 8
1 4 5
9 10 11
The element in the 2nd row, 3rd column of the product AB is 15. The product of matrices A and B is calculated by multiplying corresponding elements and summing the results.
To find the value of the element in the 2nd row, 3rd column of the product AB, we perform the multiplication and identify the element at the specified position.
The element in the 2nd row, 3rd column of the product AB is X.
To calculate the product AB, we multiply the elements in each row of matrix A with the corresponding elements in each column of matrix B and sum the results.
The resulting matrix will have dimensions 3x3 (3 rows and 3 columns). In this case, the element in the 2nd row, 3rd column corresponds to the multiplication of the second row of A with the third column of B.
To calculate X, we multiply the elements in the second row of A with the corresponding elements in the third column of B:
X = (6 * 3) + (-1 * 8) + (1 * 5) = 18 - 8 + 5 = 15.
Therefore, the element in the 2nd row, 3rd column of the product AB is 15.
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2x+4=10
What does the x equal
Answer: 3
Step-by-step explanation: 2 * 3 equals 6 and 6+4=10
Hopefully I did that right I am sorry if I didn't
A student wants to determine the height of a tree.
She knows that her 6-foot-tall teacher casts a 10-foot-
long shadow at the same time that the tree has a 45-
foot-long shadow. How tall is the tree?
A.15ft
B.27 ft
C.41 ft
D.75 ft
The height of the tree is 27 feet. The correct answer is B. 27 ft.
To determine the height of the tree, we can set up a proportion based on the relationship between the height of the teacher, the length of the teacher's shadow, the height of the tree, and the length of the tree's shadow.
Let's assign variables to the unknown values:
Height of the tree = x
Length of the teacher's shadow = 10 ft
Length of the tree's shadow = 45 ft
The proportion can be set up as follows:
(Height of the teacher) / (Length of the teacher's shadow) = (Height of the tree) / (Length of the tree's shadow)
Plugging in the known values:
6 ft / 10 ft = x / 45 ft
Now we can solve for x (the height of the tree):
(6/10) = x/45
Cross-multiplying:
10x = 6 * 45
10x = 270
Dividing both sides by 10:
x = 270 / 10
x = 27 ft
Therefore, the height of the tree is 27 feet.
The correct answer is B. 27 ft.
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Give the gradients and the intercepts on the y-axis of the lines with the following equations. Sketch each line.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The gradient is the x-coefficient. The y-intercept is the constant. These are listed in the table in the first attachment. The graphs are shown in the second attachment.
Answer:
9514 1404 393
Step-by-step explanation:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeee pokimain soo howt :)
Find the general indefinite integral: Sv(v²+2)dv
The antiderivative of Sv(v²+2)dv, which is Sv⁴/4 + Sv² + C.
To find the antiderivative of Sv(v²+2)dv, we can start by using the power rule of integration. The power rule states that the integral of xⁿ with respect to x is equal to xⁿ⁺¹/(n+1) + C, where C is the constant of integration.
Applying the power rule to the integrand Sv(v²+2)dv, we can first distribute the Sv term:
∫ Sv(v²+2)dv = ∫ Sv³ dv + ∫ 2Sv dv
Now, using the power rule, we can integrate each term separately:
∫ Sv³ dv = S(v³+1)/(3+1) + C1 = Sv⁴/4 + C1
∫ 2Sv dv = 2∫ Sv dv = 2(Sv²/2) + C2 = Sv² + C2
Putting these two antiderivatives together, we get the general indefinite integral of Sv(v²+2)dv:
∫ Sv(v²+2)dv = Sv⁴/4 + Sv² + C
Where C is the constant of integration.
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Determine whether the sequence 1/117659, 1/16807, 1/2401...converges or diverges. If it converges, give the limit.
The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.
What is the sequence converges or diverges?A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.
The given sequence is 1/117659, 1/16807, 1/2401...
Here, common ratio is
1/16807 ÷ 1/117659
= 1/16807 × 117659/1
= 117659/16807
= 7
Now, 1/2401 ÷ 1/16807
= 1/2401 × 16807/1
= 16807/2401
= 7
Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.
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Tricia is driving 64 miles per hour on an interstate highway. She must make a quick stop
because there is an emergency vehicle ahead.
a. what is her approximate reaction distance ?
b.what is her approximate braking distance ?
c. what is her total stopping distance ?
Answer:
the answer is c.
Step-by-step explanation:
Amber is making a scale drawing of a movie screen. The actual dimisions of a screen in her local theater are 60 ft wide and 20 ft tall. In her scale drawing, the screen has a width of 9 in. What will the height of the screen on her drawing be? a 2 inches b 6 inches c 3 inches d 10 inches
Answer:
c 3 inchesStep-by-step explanation:
Given the dimension in feet
Width = 60 ft
Height = 20 ft
Given the dimension in inches
Width = 9in
Height = ?
To get the height in inches, we will use the equality postulate:
60 ft = 9in
20ft = x
Cross multiply
60x = 9*20
60x =180
x = 180/60
x = 3in
Hence the height of the screen will be 3inches
the perimeter of a rectangle is 24 inches the length and width are positive integers. how many distinct area can the rectangle have?
The 6 distinct possible areas can the rectangle have.
Given the perimeter of a rectangle, we can find the length (l) and width (w) using the formula:
The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.
Perimeter of a rectangle = 2(Length + Width) square unitsLet us derive the formula for its perimeter and area
2l + 2w = 24
Solving for l and w, we get:
l + w = 12
l and w can be any combination of positive integers that add up to 12. The possible combinations are:
(1, 11), (2, 10), (3, 9), (4, 8), (5, 7), (6, 6)
Therefore, there are 6 distinct possible combinations of length and width for a rectangle with a perimeter of 24 inches, and therefore 6 distinct possible areas.
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Write a variable expression to model real world situation.
A suit costs $65. Represent the cost of n suits.
If Mary and Jane walks around her garden twice per day what is the total
distance she walks around the garden per day rounded off to the nearest
tens place.
A.40
B.80 m
C.80
D.41 m
Answer:
Step-by-step explanation:
A,B or C, depends on the garden length.
What is the end behavior of this function?
For algebra 2
As x approaches both infinity and negative infinity, y approaches 4.
DIVINE TOK A MATH TEST AND GOT 36 CORRCET AND 9 INCORRECT WHAT WAS THE PERCANTHGE OF CORRECT ANSWERS
Answer: 80% correct
Step-by-step explanation:
If Divine got 36 correct and 9 incorrect, then we can find the total number of questions.
36 + 9 = 45 questions
Now, we will divide the number of questions answered correctly by the total number of questions.
\(\displaystyle \frac{36}{45} =0.8\)
Lastly, we will multiply it by 100 to find the percentage.
0.8 * 100 = 80%
Answer:
80% was correct.
Step-by-step explanation:
The total number of questions is 45 (36 + 9). The percentage is the part correct over the total.
36/45 = .8. The answer is given in the decimal form. To change a decimal to a percent, move the decimal two places to the right.
What is the area of the figure below?
I don't remember how to fid area of something like this.
The area of the figure below is 58 in².
What is area?
Area is the region bounded by a plane shape.
To calculate the area of the figure, we use the formula below
Formula:
A = BH/2+L(a+b)/2+bh/2Where:
A = Area of the figureB = 8 inH = 6 inL = 5 ina = 4 inb = 6 inh = 3 inSubstitute these values into equation 1
A = (8×6)/2+5(4+6)/2+6×3/2A = 24+25+9A = 58 in²Learn more about area here: https://brainly.com/question/25092270
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Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300. If her sales go as usual, how many of each size photo must she sell to pay for the booth?
Answer: she must sell 6 large photos and 6 small photos
Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300
There are 44,000 adults living in Oak city in examining attitudes according to the news of research group as random sample of Oak city adults what is your main source of news the results are shown below based on the sample predict the number of adults in Oak city whose main source of the news is television on your answer to the nearest whole number do not run by any intermittent calculations
The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85
To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".
According to the sample data
Number of adults who answered "Newspapers": 64
Number of adults who answered "Radio": 21
Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition
64 + 21 = 85
Rounding this answer to the nearest whole number, we get
85 ≈ 85
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The given question is incomplete, the complete question is:
There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.
Consider functions h and k
h(x)
-4
h
-2
2
2
X
I
-3
0
1 2 4
k (x)
-1 2 3 4 6
What is the value of x when (ko h)(z) = -1?
O A. 1
OB. 2
O C. -3
OD. 4
Answer:
OA.1
Step-by-step explanation:
Function: f(x)=3x+4
A
f(5)=3(5)+4=19
Input
Function
Output
To evaluate a function, use the input value, which is typically an x value, in the function. Then, perform all calculations to determine the output value, which is typically a y value.
Recall that a function is a rule that produces an output value from an input value.
A function can only have one y value for any given x value. A vertical line test can be used to check this; if a vertical line crosses more than two points on the function, it is not a function.
What is the probability that the total number of dots appearing on top is not 7? (Give an exact answer. Use symbolic notation and fractions where needed.)
The probability that the total number of dots appearing on top is not 7, when rolling two six-sided dice, is 19/36.
To calculate the probability that the total number of dots appearing on top is not 7, we need to determine the number of favorable outcomes (not 7) and the total number of possible outcomes.
Let's consider a standard pair of six-sided dice. Each die has numbers from 1 to 6 on its faces.
To find the number of favorable outcomes (not 7), we need to count the combinations that do not sum up to 7. These combinations are:
(1, 1), (1, 2), (1, 4), (1, 5), (2, 1), (2, 3), (2, 6), (3, 2), (3, 4), (3, 5), (4, 1), (4, 3), (4, 6), (5, 1), (5, 3), (5, 4), (6, 2), (6, 3), (6, 5)
Counting these combinations, we find that there are 19 favorable outcomes.
Now, let's determine the total number of possible outcomes. Since each die has 6 sides, there are 6 possible outcomes for the first die and 6 possible outcomes for the second die. Therefore, the total number of possible outcomes is 6 * 6 = 36.
The probability that the total number of dots appearing on top is not 7 can be calculated as:
P(not 7) = favorable outcomes / total outcomes
P(not 7) = 19 / 36
So, the probability that the total number of dots appearing on top is not 7 is 19/36.
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A parking ot is going to be 50 m wide and 150 m long. Which dimensions
could be used for a scale model of the lot?
A. 75 inx 225 cm
B. 100 cm x 300 m
C. 10 m x 25 m
D. 25 cm x 75 cm
Answer:
Step-by-step explanation:
D: 25cm x 75 cm
Write an inequality for the relationship shown in the graph below.
Use the y-intercept and emphasized point.
The linear inequality that will represent given graph is y<-10x+300.
What are linear inequalities, exactly?
Linear inequalities are mathematical expressions that compare two linear functions and determine the relationship between them. They are similar to linear equations but instead of an equal sign, they use inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).
A linear inequality can be represented by an algebraic expression in the form of:
ax + by < c, where a, b, and c are constants, and x and y are variables.
Now,
The general form of a line is
y=mx+c
take two points on the given line
(5,250) and (30,0)
then m=slope=(0-250)/(30-5)=-250/25
=-10
and
0=-10*30+c
c=300
then equation is y=-10x+300
and inequality will be y<-10x+300.
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Create an equation that describes the greatest horizontal length, H, in
terms of the greatest vertical length, V.
The equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V, is \(H = \sqrt{ (V^2 + D^2)}\)
To create an equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V, we can use basic geometry principles.
Let's consider a right-angled triangle where V represents the vertical length and H represents the horizontal length. The hypotenuse of the triangle will be the greatest diagonal length.
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse represents the greatest diagonal length.
Using the Pythagorean theorem, we can write the equation as:
\(H^2 = V^2 + D^2\)
Where H is the greatest horizontal length, V is the greatest vertical length, and D is the diagonal length (hypotenuse).
Since we are interested in expressing H in terms of V, we need to isolate H in the equation. Taking the square root of both sides gives us:
\(H = \sqrt{(V^2 + D^2)}\)
Therefore, the equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V, is:
\(H = \sqrt{ (V^2 + D^2)}\)
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if m/_A = (11x+37)⁰ and x = 13, find m/_A and classify the angle.
Acute
Right
Obtuse
Straight
Help Fast!!
Answer:
11 x 13 + 37 = 180.
m/_A = 180
Straight
Step-by-step explanation:
180 degrees is a straight line.
Answer:
Step-by-step explanation:
You have collected 20 samples of 100 items each. The total number of defective items is 75. Determine the upper control limit (UCL) at a 99% confidence interval (z value =3 ). Answer A. 0.7935 B. 0.0945 C. 0.165 D. 0.0375
The upper control limit (UCL) at a 99% confidence interval with a z value of 3 is 0.165.(option c)
In statistical process control, the UCL is a key parameter used to determine the upper boundary for acceptable variation in a process. To calculate the UCL for a defect rate, we use the formula UCL = p' + z * sqrt(p'(1-p')/n), where p' is the proportion of defects in the sample, z is the z value corresponding to the desired confidence level, and n is the sample size.
In this case, we have collected 20 samples of 100 items each, and the total number of defective items is 75. Therefore, the proportion of defects in the sample is 75/2000 = 0.0375. Using the formula mentioned earlier, with a z value of 3 and n value of 100, we can calculate the UCL as follows: UCL = 0.0375 + 3 * sqrt(0.0375 * (1-0.0375)/100) ≈ 0.165.
Therefore, the correct answer is C. 0.165.
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HELP !!!!!! select the reason why these triangles are similar. if they are not, select “not similar”
a. AA
b. SAS
c. SSS
d. not similar
The triangles are not similar