Answer:
Since, the coordinates of the midpoint of line GH are M(\frac{-13}{2}, -6)(
2
−13
,−6) .
The coordinates of endpoint G are (-4,1)
We have to determine the coordinates of endpoint H.
The midpoint of the line segment joining the points (x_1, y_1)(x
1
,y
1
) and (x_2, y_2)(x
2
,y
2
) is given by the formula (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})(
2
x
1
+x
2
,
2
y
1
+y
2
) .
Here, The endpoint G is (-4,1) So, x_1 = -4 , y_1=1x
1
=−4,y
1
=1
Let the endpoint H be (x_2,y_2)(x
2
,y
2
)
The midpoint coordinate M is (\frac{-13}{2}, -6)(
2
−13
,−6) .
So, \frac{-13}{2} = \frac{-4+x_2}{2}
2
−13
=
2
−4+x
2
{-13} = {-4+x_2}−13=−4+x
2
{-13}+4 = {x_2}−13+4=x
2
{x_2}=9x
2
=9
Now, -6 = \frac{1+y_2}{2}−6=
2
1+y
2
-12 = {1+y_2}−12=1+y
2
y_2= -13y
2
=−13
So, the other endpoint H is (-9,-13).
Kylie is shopping for Christmas presents for her friends. Her budget is $100 this year. She wants to buy $15 gift cards per friend, plus the $10 she spent on regular cards total. How many gift cards can she buy?
Answer: 6
Step-by-step explanation: If you subtract 10 from 100, you get 90, which is the total amount she can spend on gift cards. Divide 90 by 15, and you get 6.
Cami and Joe each began saving money for a
new computer. Cami saves $5 per week plus $50
she receives for her birthday. Joe saves $7 per
week. After how many weeks will they have the
same amount of money saved?
Answer:
twelve weeks
Step-by-step explanation:
what is quotient of 6,484÷24
Answer:
270.16 repeated (only the 6 repeats there is only one 1)
Step-by-step explanation:
Answer: 6,484÷24=270 R 4
2. An article in the Journal of the American Medical Association reports the results of a
study designed to see if the herb St. John's wort is effective in treating moderately
severe cases of depression. The study involved 338 patients who were being treated
for major depression. The subjects were randomly assigned to receive one of three
treatments: St. John's wort, Zoloft (a prescription drug), or placebo (an inactive
treatment) for an 8-week period. The two way table summarizes the data from the
experiment
Treatment
a. What proportion of subjects in the study were
St. John's
randomly assigned to take St. John's wort?
wort Zoloft Placebo
Explain why this value makes sense.
Full
27 27
The proportion of subjects in the study that were randomly assigned
response
to take St. John's wort is about 1/3 (113/338).
Change in Partial
16 26 13
depression response
No
70 56 66
b. Find the distribution of change in depression
response
for the subjects in this study using relative
frequencies.
37
1
C. What percent of subjects took Zoloft and showed a full response?
Answer:
a. 113/338
b. The relative frequency distribution is presented as follows;
[tex]{}[/tex] St. John's wort Zoloft Placebo
Full response [tex]{}[/tex] 27/91 27/91 37/91
Partial response [tex]{}[/tex] 16/55 26/55 13/55
No response [tex]{}[/tex] 35/96 7/24 11/32
c. 29.67%
Step-by-step explanation:
a. The proportion of subjects assigned to take St. John wort is found as follows;
The total number of subjects = 27 + 27 + 37 + 16 + 26 + 13 + 70 + 56 + 66 = 338 subjects
The number of subjects assigned to take St. John wort = 27 + 16 + 70 = 113
The proportion of subjects assigned to take St. John wort = 113/338
b. The distribution of change in depression response using relative frequency is found as follows;
Total full response = 27 + 27 + 37 = 91
Total partial response = 16 + 26 + 13 = 55
No response = 70 + 56 + 66 = 192
[tex]{}[/tex] St. John's wort Zoloft Placebo
Full response [tex]{}[/tex] 27/91 27/91 37/91
Partial response [tex]{}[/tex] 16/55 26/55 13/55
No response [tex]{}[/tex] 35/96 7/24 11/32
c. The percentage of subjects that took Zoloft and showed full response is given as follows;
The percentage of subjects that took Zoloft and showed full response = 27/91 × 100 = 29.67%
1 sack of flour contains 21 cups. It takes 3 cups of flour to make a batch of cookies. How many batches of cookies can you make with TWO sacks of flour?
Answer:
14 batches
Step-by-step explanation:
If 1 sack of flour = 21 cups, and 1 batch of cookies need 3 cups, all you have to do is find out how many batches can be made with 1 sack and double the number:
3 × _ = 21
21 ÷ 3 = 7
7 × 2 = 14
You can make 14 batches of cookies with 2 sacks of flour.
Hope this helped.
2 (3x + 6) = 3 (x - 10)
Answer:
x= -14
Step-by-step explanation:
(5x-2)^2 help asap pleaseee
Answer:
25x² − 20x + 4
Explanation:
(5x − 2)²
= (5x + −2)(5x + −2)
= (5x)(5x) + (5x)(−2) + (−2)(5x) + (−2)(−2)
= 25x² − 10x − 10x + 4
= 25x² − 20x + 4
Solve for x: 1-2(x+1) = x+6
Answer:
Exact Form: x= - 7/3
Hope this helped! If you ever need anymore help feel free to ask. :)
An equation that crosses the Y axis at -5 and crosses the X axis at five
Answer:
y = x - 5
Step-by-step explanation:
Slope-intercept formula:
y = mx + bThe value of b already given, it is -5, so
y = mx - 5Points as per description:
(0, -5) and (5, 0)The slope is:
m= (y2 - y1)/(x2 - x1) = (0+5)/(5-0) = 1Then we get the formula:
y = x - 5Karim wants to buy a shirt that normally sells for $46.50. It is on sale for One-third off. How much does Karim need to pay to buy the shirt on sale?
Answer:
Step-by-step explanation:
First I took the original price of the shirt (46.50) since it is going one third off I divided it by 3 (46.50/3=15.50)
I took away the one third I divided from it (46.50-15.50=31)
I got 31 dollars as my final answer.
Now Karim needs to buy the shirt for $31.
Answer:
$31
Step-by-step explanation:
Price of the shirt normally: $46.50
Deduction in the price when it's 1/3 off: 1/3 * $46.50 = $15.50
amount that Karim needs to pay to buy the shirt:
Price of the shirt normally - Deduction in price when it's 1/3 off =
$46.50 - $15.50 = $31.00
can somebody help me find the slope of this line?
Answer:
the slope is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The slope of the line is 3
y= 2x2 – 9x + 8
Deter sin the number of solutions for quadratic equation
Well if it is a quadratic equation, then it has 2 solutions
Do you need the solutions or just the number of solutions?
I forgot how to do these questions
HELPPPPPP
simplify the following expressions using distributive property of multiplication 4(3x-1)
Answer:
multiplication 4(3x-1)
12x-4
Please help ! Easy 7th grade work ! I’ll give brainliest
Answer:
for the first one... 24
Step-by-step explanation:
im in 7th grade pls mark brainliest <3
Answer: i need to find my dad please help his name is candice
Step-by-step explanation:
What is 10+4(-8q-4) simplified into an equation
Answer:
-32-6
Step-by-step explanation:
this is your answer
Glr to precisando muito da ajuda de alguém com isso aqui, pfv
Answer:11
Step-by-step explanation:
Find the value of x.
42°
130°
75°
Answer:
wdym
Step-by-step explanation:
The actual length of a full-size school bus is 40 feet. Which toy school bus is built to a scale of 1inch = 5 feet?
Answer:
well
Step-by-step explanation:
40 ÷ 5 = 8
so the answer should be an 8 inch toy bus
Jamari writes a number that is the same distance from 0 to 6 on a number line, but in the opposite direction. What number did Jamari write
Answer:
-6
Step-by-step explanation:
Jamari starts at 0 and goes to 6 but its in the negatives, anything behind the zero (0) going left we always be smaller (<) so the number he wrote was -6.
What is the domain and range of the graph?
Answer:
B
Step-by-step explanation:
the perimeter of a square can be found using P = n + n + n + n, where n is the length of one side of the square. Which equation could also be used to find the perimeter of a square
Answer:
P = 4n
Step-by-step explanation:
P = n + n + n + n
If you combine all the like terms you end up with:
P = 4n
The equation to find the perimeter of a square can also be expressed as 4n, where n is the side.
What is Square?A square is a two dimensional figure which has four vertices, four sides and four angles.
Perimeter of a geometrical figure is the sum of the lengths of the boundary of shape.
Given that n is the length of one side of a square.
Perimeter is the sum of the side lengths.
Since a square has four sides,
Perimeter = 4 times the length of side
= 4n
Hence the perimeter of a square can also be expressed as 4n.
Learn more about Square here :
https://brainly.com/question/28776767
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how are intergers used to represent real world situations.
Answer:
Integers are always whole values such as 4, 10, or 58. They can represent something that can't be partial. (hope this was what you were looking for!)
pls help on this it must be answerd quickly or i will not be able to go on the my dads boat on sunday, so pls pls answer quickly
Answer:
Step-by-step explanation:
I love boats
I have number 10 done but can someone help me out with 11?
Answer:
x=5
Step-by-step explanation:
opposite angles are the same, so the small ones are 15. 180-30=150
150/2=75 75/15=5
what is the domain of the set (-3,5), (2,0), (7,-5)
The domain is all x-values.
The domain is -3, 2, 7
The range is all y-values
The range is 5, 0, -5
Best of Luck!
what is the value of (10 - 6) over 2 + 6 times 2 - ( 3 + 2) over 2
Answer:
-.25 or - 1/4
Step-by-step explanation:
Right before a snow storm the hardware store sold
fifteen shovels in sixty minutes. At that rate the store
solda shovel every minutes.
Answer:
4
Step-by-step explanation:
60/15=4
The rate of change is 1/4 shovels/ minute of 0.25 shovels/ minute.
What is rate of change?Rate of change is the increase or decrease of any property with respect to any other property, when rate of change is studied for a time duration, the ratio of the difference in the property from initial state to its value at the end of the time duration is divided by the total time.
For an expression, the rate of change is determined by differentiation.
The hardware store sold 15 shovels in sixty minutes.
The number of shovels sold is 15.
The time duration in which the shovels are sold is 60 minutes.
The rate of the shovels sold every minute has to be determined.
Rate = ( No. of shovels sold) / Time duration
Substituting the values
Rate = 15 /60
Rate = 1/4
Rate is 1 shovel sold every 4 minute.
To know more about Rate of Change
https://brainly.com/question/12786410
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Can I get the answers plz
Answer:
1) yes
2) yes
3) no
if you multiply me by 5 and subtract 6 from me you get 14. what number am I.
Answer:
tje answer is 4
Step-by-step explanation:
4x5=20
20-6=14
