Answer:
B
Step-by-step explanation:
subtract 1/3 from both sides
m< -2 7/12
find y and round to the nearest tenth. thank you
Answer and Step-by-step explanation:
31 degrees on the top would be equal to the angle in between x and 600ft, by the interior angles theorem.
That means we can solve for y using the trigonometric function of tangent.
\(tan(31) = \frac{y}{600}\)
Multiply by 600 to both sides, then use a calculator to solve.
600(tan(31)) = x
x = 360.5163714
x ≈ 360.5 is the answer.
You are planning a family vacation and need $3600 in 15 months. How much do you need to save each month to accomplish your goal?
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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A piece of wire is bent into the shape of a triangle. Two sides have length 16 inches and 23 inches. The angle between these two sides is 40°. What is the length of the third side to the nearest hundredth of an inch?
Answer:
The length of the third side is approximately ≈ 14.79 inches
Step-by-step explanation:
A piece of wire is bent into the shape of a triangle. Two sides have lengths of 16 inches and 23 inches. The angle between these two sides is 40°. What is the length of the third side to the nearest hundredth of an inch?
Use the law of cosines to find the length of the missing side.
Let C be the third side.
A = 18
B = 23
Angle C = 40^∘
c^2 = a^2 + b^2 - 2ab cos C
c = √a^2 + b^2 - 2ab cos C
c = √18^2 + 23 ^2 - 2 (18) (23) cos 40^∘
c = √583 - 828 cos40^∘
≈ 14.79
Thus, The length of the third side is approximately 14.79 inches.
Hope this helps!
Statistics question
Considering the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.
How did we arrive at this assertion?The null and alternative hypotheses are as follows:
H o: p ≤ 0.23 (proportion of men who own cats is less than or equal to 23%)
H a: p > 0.23 (proportion of men who own cats is larger than 23%)
The test is right-tailed because the alternative hypothesis states that the proportion is larger than 23%.
Based on a sample of 40 people, with 15% of them owning cats, we can calculate the p-value.
To find the p-value, we need to use the binomial distribution and calculate the probability of observing a result as extreme or more extreme than the one obtained under the null hypothesis.
Let's calculate the p-value:
p = 0.15 (proportion of men in the sample who own cats)
n = 40 (sample size)
p-value = P(X ≥ 0.15 x 40) = P(X ≥ 6)
Using a binomial calculator or software, we can find that P(X ≥ 6) is approximately 0.162.
Since the p-value (0.162) is greater than the significance level of 0.10, we fail to reject the null hypothesis.
Therefore, based on the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.
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If a perimeter is 20/21 what is the side length of the square
Answer:
each side would be 5/21
Answer:
Each side is equal to 5/21
Step-by-step explanation:
And this is because it is a square, meaning it has four equivalent (meaning equal) sides. Remember, the perimeter is adding the outside values/numbers. 20 divided by 4 is 5, which concludes that the answer is 5/21.
Hope this makes sense to you! If you don't understand the topic, feel free to comment!!!
Help please need to pass!
First image is the answer choices for both
Second image is the questions
Answer:
1. (-9,-2)
2. (2, -9)
what the first one just swap the coordinates first then change the x coordinate sign .
for the second question while rotating the coordinates along hundred eighty degrees clockwise just change the signs of X and Y coordinates
I need a answer pls help me
Answer:
31.5
Step-by-step explanation:
15 * 2 = 30
15 / 10 = 1.5
30 + 1.5 = 31.5
Look at the tape diagram below for the number of boys and the number of girls in a school. Find total number of students in the school.
Determine the values of x in the equation x2 = 64.
if PN=29cm and MN=13 , then PM=?
*see attachment for the figure referred to
Answer/Step-by-step explanation:
1. PN = 29
MN = 13
PM = ?
\( PN = PM + MN \) (Segment addition postulate)
\( PN - MN = PM \) (subtract MN from each side)
\( 29 - 13 = PM \) (substitute)
\( 16 = PM \)
\( PM = 16 cm \)
2. PN = 34, MN = 19, PM = ?
\( PN = PM + MN \) (sediment addition postulate)
\( PN - MN = PM \) (subtract MN from each side)
\( 34 - 19 = PM \) (substitute)
\( 15 = PM \)
\( PM = 15 cm \)
3. PM = 19, MN = 23, PN = ?
\( PN = PM + MN \) (Segment addition postulate)
\( PN = 19 + 23 \) (substitute)
\( PN = 42 cm \)
4. MN = 82, PN = 105, PM = ?
\( PN = PM + MN \) (segment addition postulate)
\( PN - MN = PM \) (subtract MN from each side)
\( 105 - 82 = PM \) (substitute)
\( 23 = PM \)
\( PM = 23 cm \)
5. PM = 100, MN = 100, PN = ?
\( PN = PM + MN \) (Segment addition postulate)
\( PN = 100 + 100 \) (substitute)
\( PN = 200 cm \)
Mr. Evans is currently 4 times as old as his son, Dan. If Mr. Evans was 46 years old 2 years ago, how old is Dan now?
Answer:
the son age is 13band Evans age is 52 years old at present day
Dan is 12 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the Age of Dan is x years
Mr. Evans Age = 4x
If Mr. Evans was 46 years old 2 years ago
The, Present age of Mr. Evans = 48 years
So, Dan's Age = 48/4
= 12 years.
Hence, Dan is 12 years old.
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Bryan had typed his English essay at a constant speed from beginning to end. If he typed
his 800-word essay in 1 hour, how many words did he type in one minute?
Answer:
30
Step-by-step explanation:
please solve the question attached
1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.
2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.
What more should you know about the producer thoery?In the standard producer theory, a producer minimizes costs for a given level of output.
This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).
The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).
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Two students share 3/4 of a pound of peanuts. How much of a pound does each person get
PLEASE HELP- 25 points-what is the circumference of the circle. Diameter =9cm
Answer:
9π cm - exact value
28.26 cm - approximate value
Step-by-step explanation:
C = πd =9π cm - exact value
or
C=9π≈ 28.26 cm - approximate value
describe an infinite list of decimals. all of which are greater than 3.514, but get closer and closer to 3.514
i dont understand TwT pls help me it makes me understand better and learn from it. it truly helps me
also for pyr:
- surface area
- lateral area
- volume
Answer:
Lateral Area = 624 square units
Surface area = 1,200 square units
Volume = 960 cubic units
Step-by-step Explanation:
==>Given:
Dimensions of the square pyramid as shown in the figure are:
length of 1 side of the square base (s) = 24
Slant height (l) = 13
Perpendicular height (h) = ?
==>Required:
a. Lateral area (L.A) = 4 × ½sl
b. Surface Area (S.A) = Base area (s²) × Lateral area (4 × ½sl)
c.Volume of the pyramid = ⅓ × Base area (s²) × perpendicular height (h)
==>SOLUTION:
a. Lateral area (L.A) = the area of the 4 lateral faces of the pyramid, which are triangular faces.
L.A = 4 × ½sl
From the figure given, s = 24; l = 13,
Therefore, L.A = 4 × ½ × 24 × 13
= 4 × 1 × 12 × 13
Lateral Area = 624 square units
b. Surface Area (S.A) = Base area (s²) × Lateral area (4 × ½sl)
Base area (s²) = 24² = 576 square units
Lateral area (4 × ½sl) = 624 square units
Therefore, total surface area = 576 + 624
= 1,200 square units
c. c.Volume of the pyramid using the formula ⅓ × Base area (s²) × perpendicular height (h)
Base area (s²) = 576 square units
Perpendicular height (h) is not given in the figure = h
Since already know the slant height (s), let's use Pythagorean theorem to find the perpendicular height (h) bearing in mind that a right triangle is formed in the middle of the pyramid as illustrated in the figure attached below.
The base of the right triangle = ½ of side length of the base (s) = ½ × 24 = 12
The hypotenuse (l) = 13
Therefore using the Pythagorean Theorem formula a² + b² = c², let's find the perpendicular height (h).
Where,
a² = h²
b² = (½s)² = 12²
c² = l² = 13²
Thus, h² + 12² = 13²
h² = 13² - 12²
h² = 169 - 144
h² = 25
h = √25
h = 5
==>Volume of pyramid (V) = ⅓ × Base area (s²) × perpendicular height (h)
V = ⅓ × 576 × 5
V = ⅓ × 2,880
V = 960 cubic units
Find the slope of the line
Jacob is building a robot named T3-X
that is 75 inches tall. To the nearest
tenth, how many centimeters tall is
T3-X?
Which expression represents the distance
between point G and point H?
|-12|16| |-12|+|-9|
1-9|-|-6|
|-12|+|6|
-15
H(-9,6)
G(-9,-12)
15+y
0
-15-
15
Answer:
Step-by-step explanation:
2
Can you please help me
Answer:
3. D
4. I
5. E
6. G
7. J
8. B
9. A
10. H
While the Pareto distributions are continuous, they tend to be used to model discrete data in humanities and actuarial sciences. Moreover, with its roots in power functions, Pareto distributions may be used in the growing popularity of the studies of networks. The probability density function (PDF) for a Pareto distribution is
Answer:
Step-by-step explanation:
While the pareto distributions are continuous in nature, they are sometimes used to model discrete data in fields such as Social Sciences, Humanities, Geophysics, and Actuarial Sciences.
The Pareto Distribution is a power-law probability distribution used in studies of observable phenomena.
The probability density function (PDF) for a Pareto Distribution is:
Xn = 1
for various Alpha levels
Where Xn is the probability value of X
As Alpha tends to infinity, the pareto distribution tends to ¶ [X-Xn]
Where ¶ is the Dirac Delta function.
The graph of y= -2x + 10 is:
O A. a line that shows only one solution to the equation.
O B. a point that shows the y-intercept.
O C. a line that shows the set of all solutions to the equation.
O D. a point that shows one solution to the equation.
SUBM
9514 1404 393
Answer:
C. a line that shows the set of all solutions to the equation.
Step-by-step explanation:
Any graph shows the set of all solutions to the equation being graphed.
The graph of a linear function is a straight line.
What is the value of M PLEASE HELP .
Answer:
28
Step-by-step explanation:
M/8 = 21/6
6M = 168
M = 28
HELP PLSSSSSS ITS TIMED
Determine any data values that are missing from the table, assuming that the data represent a linear function.
O.5% as a fraction and decimal
Answer: As a fraction: 1/2
As a decimal: 0.005
Step-by-step explanation:
FRACTION:
To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.
DECIMAL:
0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.
Help ASAP!!!!
Use vector operations to draw the resultant vector
Draw 2u – 1/3v.
Vectors are elements of the vector space, and they can be illustrated by diagrams.
How to draw the vector 2u - 1/3vThe vector expression is given as:
2u - 1/3 v
Split the vector expressions, as follows:
\(y_1 = 2u\)
\(y_2 = -\frac13v\)
See attachment for the graphs of y1 and y2.
Next, we have:
\(y = 2u - \frac13v\)
So, we have:
\(y = y_1 + y_2\)
The above expression means that, we add the vectors y1 and y2 to get vector y
See attachment for the graph of 2u - 1/3 v
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The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
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