Answer:
1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer
The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Find the coordinates of the other endpoint, D.
Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex] [tex]\frac{y_1+y_2}{2} =Ymp[/tex]
[tex]\frac{6+x_2}{2} = 1[/tex] [tex]\frac{-2+y_2}{2} =2[/tex]
multiply each by 2 to simplify
[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex] [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify
6+[tex]x_{2}[/tex] = 2 -2+[tex]y_{2}[/tex] = 4 =
-6 -6 +2 +2
[tex]x_{2}[/tex] = -4 [tex]y_{2}[/tex] = 6
To check use the Midpoint formula
[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]
The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the
hypotenuse?
The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The length of the longer leg of a 30-60-90 triangle is 18.
Then the length of the short leg will be
tan 30° = x / 18
x = 10.4
Then the length of the hypotenuse will be
sin 30° = 10.4 / h
h = 20.8
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what is the area of the triangle?
Answer:
32
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
What is the diameter in inches of a circle that has an area of 81
Answer:
d = 10
Step-by-step explanation:
A = πr²
81 /π = r²
r² ≈ 25
r = 5
d = 5(2) or 10
A coin is flipped 5 times. What is the total possible outcomes or sample space for this event?
Answer:
Step-by-step explanation:
If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is 1 2. This is also the probability of flipping heads on a coin. And so we have: 1 2 × 1 2 × 1 2 = 1 8. If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. hope this helped\
Solve 3^x=42. Round to the nearest hundredth
Answer: x=3.40
Step-by-step explanation: apply exponent rule xln(3)= ln(42)
solve xln(3)=ln(42): x=ln(42)/ln(3) (fraction form)
(decimal) 3.40217... round it to the nearest hundreth= 3.40
I do not know if this is correct.
Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?
Answer:
The Answer is A or the first one, NOT C. C is wrong.
Step-by-step explanation:
The transformations that map ΔABC to ΔA"B"C" will be reflection cross x-axis and translation of (x - 6, y - 2). Then the correct option is B.
What is a transformation of a shape?A point, line, or numerical figure can be changed over in one of four ways, and each affects the item's design as well as position. Picture, after interpretation, alludes to the article's definitive association and situation. Not long before the alludes to the material's underlying condition.
The interpretation doesn't change the shape and size of the calculation. However, changes the area.
The reflection doesn't change the shape and size of the math. However, flipped the picture.
The changes that map ΔABC to ΔA"B"C" will be reflection cross x-pivot and interpretation of (x - 6, y - 2). Then, at that point, the right choice is B.
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The complete question is given below.
I need help with this math problem
Marcia and her family went to a concert.They bought 3 adult tickets and 4 children’s tickets. What was the total cost for the family?2.A small aircraft has 14 rows with 2 seats in each row on one side and 14 rows with 3 seats in each row on the other side. How many seats does the aircraft have in all?3.Writing to ExplainWrite a problem about going on a water ride at an amusement park that has a hidden question. A small boat seats 4 people, and a large boat seats 6 people. Solve your problem.Concert AdmissionAdults$8Students$5Children$3P 10•7
What is the hidden question
Answer:
2= 28+42=70
Step-by-step explanation:
Find the value of the expression below for x=10
x ^2 - 2 (x + 5)
Answer:
20
Step-by-step explanation:
your welcome!!
There are 285 sixth graders going on a class trip to the museum.each bus can hold
25 students. How many buses will be needed to transport all the students? Will all the buses be fuller? If not how many students will be on the last bus.
the buses be filled? If not, how many stuc
Answer:
11bus fuller last bus 10
Step-by-step explanation:
25×11=275
10
What is the slope of the line ?
Answer:
slope: 3/1.5
Step-by-step explanation:
You go up 3 and over 1 1/2 like its half then your gonna write 3/1.5
The lengths of plate glass parts are measured to the nearest tenth of a millimeter. The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8. Determine the mean of the lengths. Mean (in tenths of millimeters) Round your answer to two decimal places (e.g. 98.76).
Answer:
The mean of the lengths is 0.35 tenths of millimeters
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and it's mean is given by:
[tex]M = \frac{a+b}{2}[/tex]
The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8.
This means that [tex]a = 0, b = 590.8 - 590.1 = 0.7[/tex]
So, the mean is:
[tex]M = \frac{a+b}{2} = \frac{0 + 0.7}{2} = 0.35[/tex]
The mean of the lengths is 0.35 tenths of millimeters
Juanita borrowed $600 to purchase a new computer. She
was charged 7% interest for two years. She used the
simple interest formula to find the interest.
|=600(7)(2)
What error did Juanita make and how will her error affect
the interest she calculates? Explain.
Answer:
Forgot to turn the 7% into a 0.7... if you dont do that, then it will come out larger then it was supposed to be :)
Answer:
Sample response: Juanita did not change the 7% to the decimal 0.07. When she completes the problem as written, the interest will be greater than the money she borrowed.
Step-by-step explanation:
This is a sample response, be sure to change the wording up a bit.
I am a quadrilateral.
• I have two pairs of parallel sides.
• All my sides are the same length.
Which name describes me the best?
rectangle
parallelogram
trapezoid
square
rhombus
Answer:
those criteria define a square or a rhombus
Step-by-step explanation:
if there was another fact about the angle measures, for example if it said all my angles are equal then it would be a square, not a rhombus
HELP ASAP PLSSSSS just fill it in
Step-by-step explanation:
[tex]y = a {b}^{x} \\ approximately \\ y=25.9*1.278^x[/tex]
Can I get the answer please ?
The ratio of the three angles of a triangle is
9:13:3. What is the measure of the MIDDLE angle?
Answer:
64.8°
Step-by-step explanation:
in the given ratio 9:13:3 the required middle angle is presented as 9;
1) if the sum of the angles of triangle is 180, then the given ratio can be re-written as
9x+13x+3x=180, ⇒ x=36/5;
2) if x=36/5, then the required measure of the middle angle can be calculated:
m(∠MIDDLE)=9*36/5=64.8°.
11. in a class of 40 students. 26 are girls and 14 are boys. What is the ratio of girls to the total number of stude
Answer:
26;40 simplified is 13/20
Step-by-step explanation:
Don't drink and drive: A highway safety council reported that there were 3972 fatalities among drivers in auto accidents in a particular year. Following is a frequency distribution of their ages. Approximate the mean age. Round your answer to one decimal place. Age Number of Fatalities 11-20 340 21-30 1527 31-40 866 41-50 693 51-60 423 61-70 123 Send data to Excel The mean is approximately .
Answer:
[tex]\bar x = 34.7[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Age} & {Fatalities} & {11 - 20} & {340} & {21-30} & {1527} & {31-40} & {866} & {41-50} & {693} & {51-60} & {423} & {61-70} & {123} \ \end{array}[/tex]
Required
Calculate the mean
The given data is a grouped data. So, we need to calculate the class mid -point first.
This is done by calculating the average of the class intervals.
So, we have:
[tex]\begin{array}{ccc}{Age} & {Fatalities} & {x} & {11 - 20} & {340} & {15.5} & {21-30} & {1527} &{25.5}& {31-40} & {866} & {35.5} & {41-50} & {693} & {45.5} & {51-60} & {423} & {55.5} & {61-70} & {123} & {65.5}\ \end{array}[/tex]
For 11 - 20, the midpoint is: [tex]x =\frac{1}{2}(11+20) = \frac{1}{2}*31=15.5[/tex]
For 21 - 30, the midpoint is: [tex]x =\frac{1}{2}(21+30) = \frac{1}{2}*51=25.5[/tex]
.....
For 61 - 70, the midpoint is: [tex]x =\frac{1}{2}(61+70) = \frac{1}{2}*131=65.5[/tex]
The mean is then calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
[tex]\bar x = \frac{(15.5 * 340) + (25.5 * 1527) + (35.5 * 866) + (45.5 * 693) + (55.5 * 423) + (65.5 * 123)}{340 + 1527 + 866 + 693 + 423 + 123}[/tex]
[tex]\bar x = \frac{138016}{3972}[/tex]
[tex]\bar x = 34.7472306143[/tex]
[tex]\bar x = 34.7[/tex] --- approximated
The mean is approximately 34.7
I NEED HELP ASAP Catherine finds that in a randomly selected sample of 500 families in her home town, 45% own at least one computer. Her research shows that there are a total of 35,000 families in her town.
Which statements are true?
Select each correct answer.
To estimate the percentage well, she would need to collect data for all 35,000 families.
Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer.
If she collected data for a random sample of 1000 families in her home town, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer.
Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.
Answer:
c and d
Step-by-step explanation:
PLS ANSWER I WILL GIVE BRAINLIEST
Answer:
3+2x
Step-by-step explanation:
Since you've started with 3 you add the 2 each time up the output.
What is the total surface area of a cube with an edge on 4 1/2 feet
Answer:
What is the total surface area of a cube with an edge on 4 1/2 feet... 121.5 feet
Step-by-step explanation:
Surface area = 6 × 4 1/2 × 4 1/2
Surface area = 121.5
300 – 7[4(3 +5)] + 33
Answer:
105
Step-by-step explanation:
your answer is 105.
609.0÷14
what is the anawer
Answer:
43.50 or 43.5
Step-by-step explanation:
Factor to write an equivalent expression: 5a - 10
Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?
Answer:
¼
Step-by-step explanation:
Solution,
Total quantity=½ gallon
Each friends quantity=½/2
=¼ gallon
Can someone please help
Step-by-step explanation:
step 1. 6x - 30 = 2(x + 33)
step 2. 6x - 30 = 2x + 66
step 3. 4x = 96
step 4. x = 24.
step 5. mNMO = x + 33 = 24 + 33 = 57°.
A certain type of golfball is tested by a robot that hits the ball with a consistent impact force. The distances this type of ball travels in this test are normally distributed with a mean of 195195195 meters and a standard deviation of 555 meters. Suppose that quality control experts regularly collect random samples of 252525 distance measurements and calculate the sample mean distance in each sample. Assume that the measurements in each sample are independent. What will be the shape of the sampling distribution of the sample mean distance
Answer:
Approximately normal
Step-by-step explanation:
Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.
The shape of the sampling distribution of the sample mean distance is approximately normal
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5
meters.
Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample
When a population is normally distributed, the sampling distribution of the sample mean x will also be normal regardless of sample size.
Since the distribution of distances is normal, the sampling distribution of the sample mean distance will also be normal.
Hence, the shape of the sampling distribution of the sample mean distance is approximately normal
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Every year, a dog sled race is held in Alaska and is approximately 1,150 miles in distance. Information about the top three racers is
listed below.
• Aaron completed half the race in approximately 4 days, 12 hours.
• Dallas finished the race in approximately 8 days, 18 hours.
• Mitch completed one-quarter of the race in approximately 2 days, 5 hours.
Answer:
Aaron completed the race in 9 days. Mitch finished in the race in 8 days 20 hours. Dallas finished in 8 days 18 hours
Step-by-step explanation:
1. Dallas won the race. 8 days 18 hours
2. Mitch came in second. 2 days 5 hours x 4= 8 days 20
3. Aaron was 3rd. 4 days 12 hours x 2= 9 days