Answer:
C. 586.2 cm²
Step-by-step explanation:
Area of the figure = area of triangle + area of rectangle + area of semicircle
= (½*b*h) + (L*W) + ½(πr²)
Where,
b = 18 cm
h = 7 cm
L = 22 cm
W = 18 cm
π = 3.14
r = ½(18) = 9 cm
Substitute
Area = (½*18*7) + (22*18) + ½(3.14*9²)
Area = 63 + 396 + 127.17
Area = 586.17 ≈ 586.2 cm²
Question 3 (1 point)
Julie drives by a stop light near her home once every morning. The stop light has red,
yellow and green lights. She wants to know the probability of the light being red on
two mornings.
Which list represents the sample space for two mornings at the stop light?
O {red, yellow, green}
O {red/red,red/yellow,red/green}
O {red/yellow, red/green, yellow/green, yellow/red,green/yellow, green/red}
{red/red,red/yellow,red/green,yellow/red,yellow/yellow,yellow/green,green/red,green/yellow,green/green}
The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.
How to find the sample space ?In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.
The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}
This includes all the possible lights that could be seen on the two mornings by Julie.
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Javier worked 2.4 hours on Monday. Javier worked twice as long on Tuesday than he did on Monday. His pay rate is $10.25 an hour. How much will he be paid, in dollars, for the two days?
Answer:
73.8$
Step-by-step explanation:
Total hours:
2.4 + 2 * 2.4 = 7.2 hours
For the two days he will be paid:
(7. 2 hours) * (10.25 $/hour) =73.8$
What is 2+x=4 please help
Answer:
2+x=4
x = 4 - 2
x = 2
Step-by-step explanation:
........
Jason has exactly four wooden toy blocks with digits on them. Two of the blocks have the digit 0, one of the blocks has the digit 1, and one of the blocks has the digit 2. How many distinct positive integers can he form using one or more of the blocks, without using each block more than once?
The number of positive integers is 24
How to determine the number of positive integers?The digits of the wooden toys are:
0, 0, 1, 2
Since each block cannot be used more than once, and there are four blocks in total;
The number of positive integers is;
Integers = 4!
Expand
Integers = 4 * 3 * 2 * 1
Evaluate
Integers = 24
Hence, the number of positive integers is 24
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Write the phrase as an expression. Then evaluate when y=20.
3 less than the quotient of a number y and 4
write the Expression:
The value of 3 less than the quotient of a number y and 4 when y is 20 is 2.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
The expression less than the quotient of a number y and 4 will be:
y/4 - 3
When y is 20, the value will be:
y/4 - 3
20/4 - 3
5 - 3
= 2
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how do you divide a square in half by connecting two vertices?
Answer:
diagonally.
Step-by-step explanation:
the vertices are the corners or angles. square has four angles. if you have to divide it in half by connecting 2 vertices, then you would just need to draw a line from one corner, diagonally to another corner. you have 2 halves that are equilateral triangles. think about a grilled cheese sandwich cut in half. make sense?
A zoo has 15 toucans and 75 parrots What is the ratio of the number of toucans to the number or parrots in the zoo
Answer:
Since there is 15 toucans and 75 parrots the ratio would be written as
15/75
Step-by-step explanation:
As of 15 to 75. Then write out with a colon between the too! 15:75
Hope this helped and have a wonderful day!! <33
what is the unit rate of 11.70 and 15
what is 11/2 times 1/3 as a fraction
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6
Which is an estimate of 35 to the
nearest hundredth?
A 3.5
C 5.91
D 5.92
B. 5.29
Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)
The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.
To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.
Actual quotient:
Dividing 54,114 by 29, we get:
54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)
Estimated quotient:
Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:
54,000 ÷ 30 = 1,800
Difference between actual and estimated quotient:
Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379
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Ms. Munoz had students in two class periods write essays for a diagnostic test. The following dot plots show the scores from each class. Each dot represents a different student's score. 1 .II. 1 2 First period essay scores 000 ng dot plots 3 000000000 000000 5 2 3 4 Second period essay scores 5 Complete the comparison of the typical essay scores. In general, the students in Select class period ✓ had higher scores, with Select typical score v on the essay
Based on the dot plots, it can be concluded the students in the second period had higher scores with a typical score of 3 on the essay.
What do the dot plots show?The dot plots show the scores Ms. Munoz students got on their essays for two different periods. In these plots, we can observe that in the first period the scores were between 1 and 4, while in the second period, the scores were between 2 and 5.
This shows the scores were higher in the second period, moreover, the typical or the most common score was 3.
Note: This question is incomplete; below I attach the missing information.
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4) Students in Ms. Udon
science class planted 13
conifers in different places
around the school yard. They
measured the heights (in inches)
of the conifers one month after
planting them. How many
conifers are greater than 6 1/4
inches tall but less than 8 1/2
inches tall?
Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.
This shows, with dots, the number of times that each of the measures appears in a data set.
For finding the dot plot, we have that:
The shortest conifer measures 6 and 1/4
= 6.25 inches.
The tallest conifer measures 9.5 inches.
The difference is:
9.5 - 6.25 = 3.25 inches.
Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.
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What is the value of Q3 of the data represented by the box plot?
Enter your answer in the box.
The value of Q₃ of the data represented by the box plot is,
⇒ Q₃ = 30
Given that;
A box plot is shown in figure.
Now, We have been given an image of a box plot and we are asked to find the value of third quartile represented by our given box plot.
Since, we know that the upper or 3rd quartile is represented by the last line of the box.
We can see that 1st line of our box is at 20 ,so it will be 1st or lower quartile.
And, The middle line is at 25, so median for our given box plot is 25.
The last line of the box is at 30, which is representing the upper or third quartile of our given box plot.
Therefore, the third quartile, is 30 for our given box-plot.
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What is the domain of the exponential function?
\(y=2^{x}+6\)
The domain of the exponential function is all real numbers.
The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.
For the exponential function y = 2ˣ + 6, the domain includes all real numbers.
This is because there are no restrictions on the input values that can be plugged into the function.
We can take any real number x, substitute it into the expression 2ˣ, and then add 6 to get a corresponding output value y.
Hence, the domain of the exponential function is all real numbers.
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what is my name tell now
Answer:
Vishwas Gulati
Step-by-step explanation:
the commutator of S3
Graph the equation and find the x-intercept. x + y = 8.
Answer:
x = 8 - y
Step-by-step explanation:
Subtract y from both sides x + y - y = 8 - y
Simplify x = 8 - y
x + y - z = - 2, 2x - y + z = 8, - x + 2y + 2z = 10
A-(1,2,5)
B-(1,2,3)
C-(2,1,5)
D-(5,2,1)
Answer:
a
Step-by-step explanation:
A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin of error for this poll if we want 95% confidence in our estimate of the percentage of new home buyers who hired movers.
Answer:
The margin of error M.O.E = 2.5%
Step-by-step explanation:
Given that;
The sample size = 1500
The sample proportion \(\hat p\) = 0.60
Confidencce interval = 0.95
The level of significance ∝ = 1 - C.I
= 1 - 0.95
= 0.05
The critical value:
\(Z_{\alpha/2} = Z_{0.05/2} \\ \\ Z_{0.025} = 1.96\) (From the z tables)
The margin of error is calculated by using the formula:
\(M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}\)
\(M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}\)
\(M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}\)
\(M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}\)
M.O.E = 0.02479
M.O.E ≅ 0.025
The margin of error M.O.E = 2.5%
How to use Pascal’s triangle to find x^2 using the difference quotient formula
Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.
To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:
1. Write the second row of Pascal's triangle: 1, 1.
2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.
3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.
4. Apply the difference quotient formula: f(x + h) - f(x) / h.
5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.
6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.
7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.
8. Divide both terms in the numerator by h: 2x + h.
9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.
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How to solve math problem
Answer: by doing math
Step-by-step explanation:
Explain why the sum of the angle measures in any
triangle is 180º.
Answer: I think In short, the interior angles are all the angles within the bounds of the triangle. ... If you think about it, you'll see that when you add any of the interior angles of a triangle to its neighboring exterior angle, you always get 180—a straight line, A square has 4 90 degree angles so it adds to 360, think about how triangles having half the area of a square, just like how 180 is half of 360
hope this helped
When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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Mariana and her best friend are attending a concert in a large auditorium. They just climbed up 125 steps. The number of steps they climbed can be represented by
zero
positive
negative
The number of steps they climbed can be represented by positive
How to represent the number of steps?From the question, we understand that they climbed up
Upward movements are usually represented by the positive sign
This means that:
Steps = 125 or +125
Hence, the number of steps they climbed can be represented by positive
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A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel.
The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that
changes a 1 to a 0 with probability 0.1 and changes a 0 to a 1 with probability 0.2. Show your work below.
a. What is the probability a 1 is received?
b. If a 1 is received, what is the probability a 0 was sent?
Answer:
A: the probability that a 1 is received is 0.56.
B: the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
Step-by-step explanation:
To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.
a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.
Let's denote:
P(1 sent) = 0.6 (probability a 1 is sent)
P(0→1) = 0.2 (probability a 0 is flipped to 1)
P(1 received) = ?
P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)
= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)
= 0.6 * (1 - 0.2) + 0.4 * 0.2
= 0.6 * 0.8 + 0.4 * 0.2
= 0.48 + 0.08
= 0.56
Therefore, the probability that a 1 is received is 0.56.
b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.
Let's denote:
P(0 sent) = ?
P(1 received) = 0.56
We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).
Using Bayes' theorem:
P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)
P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08
P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56
Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):
P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56
Simplifying:
P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56
= 0.08 * (1 - P(0 sent)) * (1 / 0.56)
= 0.08 * (1 - P(0 sent)) * (25/14)
= (2/25) * (1 - P(0 sent))
Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?
g(x) = - 3x - 8
g (____) =10
Solve for <2.
499
62 = [?]
44/42
Answer:
Solution given'
<2+90+49=180°[sum of interior angle of a triangle]
<2=180-139
<2=41°
Show work for branliest
Which expression is equivalent to =
(4x^ 3 ) (2x)^-4
A. 1/(4x)
B. 4/x
C. 8/x
D. 128/x
solve for x. label the sides adj, opp, and/or hyp based on the part you see. show work round to the nearest 10th
Answer:
\(x=37.4\)
Step-by-step explanation:
In an right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse (a/h).
Therefore, we have the following equation:
\(\cos 68^{\circ}=\frac{14}{x},\\x=\frac{14}{\cos 68^{\circ}}\approx\boxed{37.4}\)