3. In the diagram shown, midpoints F and G are located with segments CG and DF intersecting at H. If CH =10 then which of the following is the length of CG? с (1) 10 (3) 15 H F (2) 12 (4) 20 E
Answers
The midpoint given illustrates that the length of the segment CG will be C. 15.
What is a midpoint?It should be noted that in geometry, the midpoint simply means the middle point of a line segment.
In this case, from the diagram given, midpoints F and G are located with segments CG and DF intersecting at H and CH =10.
Therefore, the length of CG will be:
= 10 + (1/2 × 10)
= 10 + 5
= 15
In conclusion, the length of CG is 15.
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Related Questions
Darren wants to estimate the mean age in a population of trees. He'll sample nnn trees and build a 90\%90%90, percent confidence interval for the mean age. He doesn't want the margin of error to exceed 333 years. Preliminary data suggests that the standard deviation for the ages of trees in this population is \sigma=16σ=16sigma, equals, 16 years. Which of these is the smallest approximate sample size required to obtain the desired margin of error?
Answers
Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that the parameters are given as follows:
[tex]M = 3, z = 1.645, \sigma = 16[/tex].
Hence, solving for n, we find the sample size.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 1.645\frac{16}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 1.645 \times 16[/tex]
[tex]\sqrt{n} = \frac{1.645 \times 16}{3}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2[/tex]
[tex]n = 76.97[/tex]
Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.
More can be learned about the z-distribution at https://brainly.com/question/25890103
This year, the number of seventh graders at a middle school has increased by 20% (on top of the number of seventh grader last year). there are now 180 seventh graders. What was the number of seventh grader last year?
Answers
24 POINTS PLEASE HELP
Nathaniel has 3 hats and 3 belts in his closet. He chooses 1 hat followed by 1 belt.
Draw a tree diagram to model the sample space of Nathaniel choosing a hat followed by a belt out of his closet.
How many outcomes are possible?
Answers
Answer:
9 outfits
Step-by-step explanation:
i think this is what the question is asking hope this helped
4. A punch bowl holds 80 oz of punch, that is enough for exactly 16 servings.
Hillary says that there are 20oz of punch for every 5 servings. Is Hillary correct?
Answers
Answer:
No, Hillary is incorrect. There's 20oz of punch for every 4 servings.
Step-by-step explanation:
80oz / 20oz = 4
16 servings / 4 = 4 servings
So, instead of there being 20oz of punch for every 5 servings, there would be 20oz of punch for every 4 servings.
7. Find the length of a chord that is 5 inches from the center of a circle with a radius of 13 inches.
Answers
Answer:
i don't know I don't have ideas
x(85+1.90)=96.90 what is x ?????
Answers
Answer:
1.1150
Step-by-step explanation:
x(86.90) = 96.90
86.90x = 96.90
86.90x/86.90 = 96.90/86.90
x = 1.120
Answer:
[tex]\huge\boxed{\sf x = 1.12}[/tex]
Step-by-step explanation:
x (85 + 1.90) = 96.90
Add
x (86.90) = 96.90
Divide 86.90 to both sides
x = 96.90 / 86.90
x = 1.12
[tex]\rule[225]{225}{2}[/tex]
Your payment is $300 per month for 48 months and you made a $2,000 down payment. What is your total cost of leasing?
$14,600
$16,400
$14,400
$12,400
Answers
Answer:
$12,400
Step-by-step explanation:
$300 x 48 = $14,400
$14,400 - $2000(down payment) = $12,400
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
2 4/9 because the filled in boxes stand for a whole and what's missing is 4 pieces from the last one which would be the numerator and the denominator would be 9 because that's how many squares are there in total.
Step-by-step explanation:
Answer:
2 5/9
Step-by-step explanation:
Count the full boxes, which there are two of them,
and then you count the number of colored boxes in the partially filled one.
There are 5 colored boxes.
Hence, you get 2 wholes and 5/9 colored boxes
So the answer is 2 5/9.
Mr Dean and mr. Mack each make a box plot to represent the grades from the same unit test for their first period classes
1. The number of students in mr Mack first period that scored between 78 and 90 on unit test represent what percent of his students.
A.25%
B.50%
C.75%
D.100%
Answers
Answer:
c
Step-by-step explanation:
408 takes the bus that's 60 percent of the kids at school what is the told number of kids at school
Answers
Answer:
408 students = 60%
408 x 100/60
= 680 students in total
HELP!!!! Select ALL the correct answers.
Identify the two tables which represent quadratic relationships.
Answers
URGENT!!!! WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
6, 9, 27/2, ....
Find the 6th term.
Answers
geometric sequence
[tex]\tt U_n=ar^{n-1}[/tex]
a = 6 = first term
r = ratio = [tex]\tt \dfrac{9}{6}[/tex]
the 6th term (n=6)
[tex]\tt U_6=6\times (\dfrac{9}{6})^{6-1}\\\\U_6=6\times \dfrac{9}{6}^5\\\\U_6=\dfrac{9^5}{6^4}=45.5625\rightarrow rounded~to nearest~thousandth=45.563[/tex]
I need help on this pls
If kushina made 5 cupcakes and minato and naruto took 2 each how much cupcaked does kushina have left for herself
And
If obito has 2 sharingan and gave one to kakashi how much sharingan does obito have?
Answers
5 - 2 = 3 cupcakes left for herself
2 - 1 = 1, kakashi has 1 sharingan now and so does obito
a
In a class of 40 students, 35% of them walk to school. Half the number of the remaining students
take the school bus. How many students take the school bus?
Answers
Answer:
18
Step-by-step explanation:
35% of the 40 students that walk to school is: 14.
Half of the remaining students take school bus: 40-14 = 36/2 = 18
what causes a leap year
Answers
Answer:
In a leap year, we add an extra day on 29 February to our calendar of 365 days. What goes around: The reason we have February 29 every four years is because of two different time cycles involved with the rotation of the Earth. Leap years happen every four years, except if the year is a multiple of 100Shannon needs 20g of 80% gold to make a pendant. She has some 85% gold and some 70% gold. How much of each should she use of each alloy, use two linear equations to solve
Answers
Answer:
85%: 13 1/3 grams70%: 6 2/3 gramsStep-by-step explanation:
Two equations can be written to describe the desired relationships. One can describe the total quantity of gold alloy needed. The other can describe the amount of gold in the combination of alloys.
Let x and y represent the quantities in grams of 85% and 70% gold alloy needed, respectively.
x + y = 20 . . . . . . Shannon needs a total of 20 grams
0.85x +0.70y = 0.80(20) . . . . . the amount of gold in the mix of alloys
__
These equations are often nicely solved by substitution. Substituting for y, we have ...
0.85x +0.70(20 -x) = 0.80(20)
0.15x = 0.10(20) . . . . . . . eliminate parentheses, subtract 0.70(20)
x = 40/3 = 13 1/3 . . . . . divide by 0.15
y = 20 -13 1/3 = 6 2/3
Shannon should use 13 1/3 grams of 85% alloy and 6 2/3 grams of 70% alloy.
Please help/ 3(9k-1)
Simplified
Use the distributive property to simplify the expression
Answers
Hello.
Use the Distributive Property which states
a(b+c)=ab+ac
Simplify:
[tex]\hookrightarrow[/tex] [tex]\mathrm{3(9k-1)}[/tex]
[tex]\hookrightarrow[/tex] [tex]\mathrm{27k-3}[/tex]
Be sure to multiply 3 by both terms inside the parentheses.
I hope it helps.
Have an awesome day.
[tex]\boxed{imperturbability}[/tex]
Hey there!
The Distributive Property states that
a(b+c)=ab+ac
where
a, b, and c can be either constants or variables.
Now that we know what the property states, let's simplify:
3(9k-1)
multiply:
3 times 9k and 3 times -1
27k-3
Hope everything is clear.
Let me know if you have any questions!
#LearningIsFun
Matthew bought 16 gallons of gas for $4.25 per gallon. How much did he spend? Show your work.
Answers
Answer:
$68.00
Step-by-step explanation:
16 x 425 = 6800
Just move the decimal 2 places to the left to get 68
Matthew spends $68 on gas as the rate of gas is $4.25 per gallon.
What is per unit?Per unit is a technique of expressing a quantity's value in terms of a base or reference quantity. Each system variable or quantity in a per-unit system is normalized in relation to its own base value.
Given Matthew bought 16 gallons of gas for $4.25 per gallon.
Since the price per gallon = 4.25
The price of the gas for 16 gallons = 4.25 * 16
The price of the gas for 16 gallons = 68.00
Therefore, Due to the $4.25 per gallon price, Matthew spends $68 on gas.
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Decide which of the following is a reasonable answer for 7/5 x 7. pls help
7/5
7
9 4/5
Answers
The equation would look like:
7/5 x 5/1 or..
7 x 5
——-
5 x 1
= 35/5
= 7
Need help on this question ASAP pleasee please!
Answers
Answer:
A
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On the speed-time graph, the Y-axis should be labeled as
Answers
help me pleaseeeeeeee
Answers
Tan (angle)= opp/adj
Tan (39) = X / 30
Therefore Tan(39) x 30 = x
So X= 108.44
Cube shape is very difficult
Answers
Answer:
A, C, and D are right.
A cube is basically six squares pushing against each other and since you can have a square you can also have a triangle considering you can cut it diagonally in half. And since a square is classified as a rectangle as well then C is also correct.
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
(15)/(sin64)=(b)/(sin50)=(c)/(sin66)
Answers
sin 50= .766
sin 60= .913
(15)(.898)=13.47
Answer:
b≈12.78 ; c≈15.25
Step-by-step explanation:
See image.
Factor completely
Solve: [tex]x^{3} + 2x^{2} -9x - 18[/tex]
please do:
step-by-step-explanation
Answers
but it’s (x+3)(x-3)(x+2)
Jed buys a sweater that has a sale price of $48. Jed gives the sales clerk $60 and receives $7.80 in change. What is the sales tax rate?.
Answers
Answer:
8.75%
Step-by-step explanation:
Answer:
8.75%
Step-by-step explanation:
money given= $60
Price=$48
returned money should be=$60-$48
=$12
received= $7.80
sales tax=$12-$7.80
=$4.2
%=Sales tax /price×100
=$4.2/$48×100
=8.75%
Chip is getting food at his favorite restaurant. The bill comes out to $48 with a 20% tax added on top. How much does Chip have to pay?
Answers
Answer:
$57.60
Step-by-step explanation:
48 x 0.20 = 9.60
48 + 9.60
57.60
Have an amazing day!!!
PLEASE RATE AND MARK BRAINLIEST!!! :)
PLEASE HELP ME ASAP
I don't understand this
Answers
Answer:
18 times 15 times 9 = 2430 cubed inches
Step-by-step explanation:
Draw a line plot to show the lengths of Tony's 7 strings to the nearest fourth inch
Answers
The line plot is used to show the lengths of the string colors using check marks above the line
How to draw the line plotFrom the complete question, we have the following frequency table
String color Length
Black string [tex]3\frac 12 \ in[/tex]
Blue string 4 in
White string [tex]3\frac 12 \ in[/tex]
Brown string [tex]3\frac 14 \ in[/tex]
Green string [tex]4\frac 34 \ in[/tex]
Express as improper fraction
String color Length
Black string [tex]\frac {14}4 \ in[/tex]
Blue string [tex]\frac{16}4\ in[/tex]
White string [tex]\frac {14}4 \ in[/tex]
Brown string [tex]\frac {13}4 \ in[/tex]
Green string [tex]\frac {19}4 \ in[/tex]
Since the lengths are fractions and the string color is a text, then
We plot the lengths on the x-axis and the string color on the y-axis
See attachment for the line plot
Read more about line plots at:
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Help please quickly.
Answers
Answer:
3.5
Step-by-step explanation:
Look at the .5's closely if you take the 2.5 measurement info and then there is a little bit left that may be another .5 measurement.