Answer:
[tex]\bar x_{girls} = 46.25[/tex]
Step-by-step explanation:
Given
[tex]Boys = 7\\Girls = 16[/tex]
[tex]\bar x = 49[/tex]
Required
Mean of girls
The mean of the boys and girls is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
This gives:
[tex]\bar x = \frac{\sum(boys) + \sum(girls)}{boys + girls}[/tex]
So, we have:
[tex]49= \frac{42+85+47+29+58+54+ 72 + \sum(girls)}{7 + 16}[/tex]
[tex]49= \frac{387 + \sum(girls)}{23}[/tex]
Cross multiply
[tex]23 * 49=387 + \sum(girls)[/tex]
[tex]1127=387 + \sum(girls)[/tex]
Subtract by 387
[tex]1127-387 = \sum(girls)[/tex]
[tex]740= \sum(girls)[/tex]
[tex]\sum(girls) = 740[/tex]
The mean of girls is:
[tex]\bar x_{girls} = \frac{\sum(girls)}{girls}[/tex]
[tex]\bar x_{girls} = \frac{740}{16}[/tex]
[tex]\bar x_{girls} = 46.25[/tex]
A piece of metal with a length of 2. 83 cm was measured using four different devices. Which of the following measurements is the most accurate? 2. 837 cm 2. 829 cm 2. 812 cm 2. 805 cm.
Answer:
2.829 mm
Step-by-step explanation:
Correct: 2.83 mm
Measured(mm) Difference (mm)
2.837 0.007
2.829 -0.001 Smallest deviation from actual.
2.812 -0.018
2.805 -0.025
The measurement of the piece of metal that is the most accurate is 2.837 cm.
Given that,A piece of metal with a length of 2.83 cm was measured using four different devices.
We have to determine,Which of the following measurements is the most accurate?
According to the question,A piece of metal with a length of 2.83 cm was measured using four different devices.
Accuracy is the degree to which the measured value is close to the correct value.
The difference between the accepted value and the measured value of the quantity is called the error of measurement.
The measurement for the first device is,
[tex]=2.83 - 2.837\\\\=-0.007[/tex]
The measurement of the first device is -0.007.
The measurement for the second device is,
[tex]=2.83 - 2.829\\\\=-0.001[/tex]
The measurement of the second device is -0.001.
The measurement for the third device is,
[tex]=2.83 - 2.812\\\\=-0.018[/tex]
The measurement of the third device is -0.018.
The measurement for the fourth device is,
[tex]=2.83 - 2.805\\\\=-0.025[/tex]
The measurement of the fourth device is -0.02.
Hence, The measurement that is the most accurate is 2.837 cm.
For more details about Substitution refer to the link given below.
https://brainly.com/question/2785991
Solve for the value of p.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!
Answer:
The angles are supplementary meaning they equal 180 degrees so the angles have to equal 180.
p + 7 + 3p + 1 = 180
4p + 8 = 180
-8 -8(subtracting 8 from both sides)
4p = 172
/4 /4(dividing by 4 on both sides)
p = 43
Answer:
A straight angle measures 180°(p + 7) + (3p + 1) = 180
p + 7 + 3p + 1 = 180
4p + 8 = 180
4p = 180 - 8
4p = 172
•°• p = 172/4 = 43
Solve the system of equations. y=x-5; y=x^2-5x+3
[tex]y = x-5~~....(i)\\\\y =x^2-5x+3~~.....(ii)\\\\\text{Substitute}~ y= x-5 ~\text{in equation (ii):}\\\\x-5 = x^2 -5x +3\\\\\implies x^2 -5x -x +3 +5 =0\\\\\implies x^2 - 6x + 8 =0\\\\\implies x^2 --4x -2x +8 =0\\\\\implies x(x-4) -2(x-4) =0\\\\\implies (x-4)(x-2)= 0\\\\\implies x =4~~ \text{or}~~ x = 2\\\\\text{Substitute x = 4 in equation (i):} \\\\y = 4-5 = -1\\\\\text{Substitute x = 2 in equation (i):} \\\\y = 2-5 = -3\\\\\text{Hence,}~ (x,y) = (4,-1)~ \text{and}~ (x,y) = (2,-3)}[/tex]
Please find the value of P.
Answer:
[tex]\huge\boxed{\sf p = 48\°}[/tex]
Step-by-step explanation:
Since, interior angles of a triangle add up to 180 degrees.
So,
S + Q + R = 180°
S + 44 + 40 = 180
S + 84 = 180
Subtract 84 to both sides
S = 180 - 84
S = 96°
Since S is divided into two p angles because ST is an angle bisector (dividing the angle into two "equal" parts)
So,
S = p + p
S = 2p
96 = 2p
Divide both sides by 2
48 = p
OR
p = 48°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807In a company,55% of the workers are men. If 2,250 people work for the company who aren't men, how many. Workers are there in all?
Step-by-step explanation:
female workers:2250
% female workers:?
First, find the percentage of workers who aren't men since we are told the number of workers who aren't men
100-55=45
Therefore 45% of workers aren't men
Let the total number of workers =x
Now form an equation for the problem
[tex]x \times \frac{45}{100} = 2250[/tex]
[tex]x = 2250 \div \frac{45}{100} [/tex]
[tex]x = 5000[/tex]
Therefore, there are 5000 workers in total
"a deposit plus $8 per hour"
Answer:
d + 8/hr
Step-by-step explanation:
Brian had $40 in his savings account in January. He continued to add money to his account and by June, the value of the savings account had increased by 50%. How much money is in Brian's account in June?
Answer:
Well the answer is
Step-by-step explanation:
GET YO BUTT OFF THIS APP AND ACTUALLY READ A MATHS BOOK
Thegreergreertteraloargaaramaits 1>-25-31 >:-2 * 2 A 221 OD. 2.2 O O
Answer:
A
Step-by-step explanation:
x to the power of 2 add 3x
Answer:
Hope this helps
Step-by-step explanation:
a) x^2 + 3x = x(x+3)
b) 2x^2 - 8x = 2x(x - 4)
c) 6x + 9x^3 = 3x(2 + 3x^2)
d) 12x^3 - 4x^2 = 4x^2(3x - 1)
A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars
made. If x cars are made, then the unit cost is given by the function C(x)=0.2x2 - 92x+29,516. What is the minimum
unit cost?
Do not round your answer.
Answer:
check online for more information
A tank is 5 metre long 3 metre wide and 1 m high. how many litre of water can it hold?
Answer:
15,000 liters
Step-by-step explanation:
First, find the volume in meters. 5*3*1=15 meters
1 meter = 1000 liters
(x15)
15 meters = 15000 liters
Hope this helped :D
Where is the circumcenter of this acute triangle located?
O on a side of the triangle
O inside the triangle
O at a vertex of the triangle
O outside the triangle
Answer: the answer is inside the triangle
A grocery store can purchase Sugar Specks cereal for $2.00 per box. If the store marks the cereal up by 5%, what will it sell each box of Sugar specks for?
Answer:
$2.10
Step-by-step explanation:
Answer:
$2.1
Step-by-step explanation:
2 x 0.05 = 0.1
5+0.1 = $2.1
What are the steps to complete a dialation (in geometry) ?
Answer:
Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.
Step-by-step explanation:
Make me brainlest.
pleaseeee asapppppp asapppppp
Answer:
7.07
Step-by-step explanation:
Angle M is 63 degrees because all 3 angles must add to 180.
Now use the law of sines:
sin(90)/x = sin(63)/6.3
Cross multiply: 6.3 sin (90) = x sin (63)
Divide by sides by sin (63): (6.3 sin (90))/sin (63) = x
Use a calculator: 7.07
Greg is looking for the best deal on a tablet that regularly cost $789 help and compare the price of the tablet at a store with the price on the store website by completing the following. The stores website is offering the tablet 80% discount off the regular price ignoring tax and shipping how much would he pay for the tablet on the stores website
Answer:
157.8
Step-by-step explanation:
so since its on a 80% discount we want to see how much 80% is on $790 which was its initial price. To find out the percentage of $790 we need to multiply $790 by 0.80 which will equal to 631.2.
the answer is 157.8
you have to subtract 790 with 631.2
Nick and Sally run on the 100m straight track,Nicks's speed is 3m/s,Sally's soeed is 2m/s.If they both start from two sides of the track, running towards each other continuously.Then they would meet each other ... times after 10 minutes
They would meet 30 times after 10 minutes.
Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:
30 x 20 + 2 x 20 = 60 + 40 = 100 10 minutes = 600 seconds 600/20 = X 30 = X
Therefore, they would meet 30 times after 10 minutes.
Learn more about maths in https://brainly.com/question/25849676
What is the difference (how far apart on a number line are the solutions) between the sum of roots versus the product of the roots of the equation:
(x-5)(x+2)=0?
answer should be a number only
Answer:
7
Step-by-step explanation:
(x - 5)(x + 2) = 0
x = 5 & -2
Now,
given
r > s
r = 5, s = -2
Now,
=> r - s
=> 5 - (-2)
=> 5 + 2
=> 7
If triangle ABC is reflected across the x-axis, what are the coordinates of point A’? (, )
Answer: I don't really know because there is no picture of what coordinate A was before it was reflected across x-axis.
A linear inequality is in the form Ax + By + C = 0
True
False
Answer:
False
That is an equation as shown by the = sign.
An inequality has an inequality sign like '<' .
Evaluate the expression if r = 2 and y = 3 3r2 + 2y
Step-by-step explanation:
please mark me as brainlest
Express the following equation in slope intercept form: 8x-2y=10
please
Answer:
y=4x-5
Step-by-step explanation:
8x-2y=10
-8
-2y=-8x+10
-2= -2 -2
y=4x-5
I NEED HELP QUICK ‼️‼️‼️ PLEASE
Answer: no
Step-by-step explanation:
the angle is too steep
I need some help I can’t figure out the answer
Answer:
y = 65 degrees
Step-by-step explanation:
You can use a vertical angle to figure this out. Since 65 is a vertical angle to y, it equals the same amount. I have attached an image of an example of vertical angles. They are on the opposite side of the line.
HELPPPPP I ONLY HAVE AN HOUR & ITS 7:23
Answer:
x=17
Step-by-step explanation:
angle O is equal to angle M.
This means (5x-10)=75
add 10 degrees to both sides
5x=85
divide both sides by 5
x=17
aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels does he have?
Answer:
answer 215 nickels
Step-by-step explanation:
I need help on this last question
Answer:
They are both correct but they rounded to different places. Scrooge rounded to the nearest whole number while Bon rounded to the nearest tenth.
Step-by-step explanation:
Scrooge rounded up to the next whole number which was three because the tenth place value was 5 or greater.
While Bob on the other hand rounded to the nearest tenth. Which resulted in the number going down because the number in the hundredth place value was less than 5.
A parallelogram with a diagonal drawn through it is shown below.
Arlen is trying to prove that RS ≅ TU, but is unable to come up with one of the lines of the proof.
STATEMENTS REASONS
RSUT is a parallelogram Given
∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ≅ ST Reflexive Property
ΔRST ≅ΔUTS ???
RS ≅ TU Corresponding parts of a congruent triangle are congruent.
What is the missing reason in the proof?
Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionWhat is the ASA Congruence Criterion?The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.
Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:
Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.
A pair of congruent included sides - ST ≅ S.
These satisfy the ASA Congruence Criterion. Therefore:
the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence CriterionLearn more about the ASA Congruence Criterion on:
https://brainly.com/question/11637992
Fig rolls
normal price £1.08
buy one get 2nd half price
what is the total of three packets
Answer:
The total cost for two packets of Fig rolls is £1.62
Step-by-step explanation:
The LCM of 6, 17 and 34 is
Answer: 102
Step-by-step explanation:
