The mean height of the boys will be 1.73m.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Given that:-
In a class of 25 students, the mean height of the 15 girls is 1.65 meters the mean height of all 25 students is 1.682 meters.If the mean height of 15 girls is 1.65m, the sum of the girls’ heights is 15×1.65 = 24.75m.
If the mean height of 10 boys is x meters, the sum of the boys’ heights is 10x m. The sum of all 25 students’ heights is
25×1.682=42.05m.
The mean height of the boys.
24.75+10x=42.05,
x =(42.05-24.75)/10
x =1.73m,
Therefore the mean height of the boys will be 1.73m.
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Use the order of operations to simplify this expression. Express your answer in simplest form.
1/2+2/3÷ 5/9
Answer:
1/4/3÷5/9
1/4/3÷9/5
1/4/3/5
Negative 2 (x + 5) = negative 2 (x minus 2) + 5 What is the solution to Yuto's equation? –10 9 no solution infinitely many solutions
What is the solution to the linear equation?
d – 10 – 2d + 7 = 8 + d – 10 – 3d
(need answer asap)
Answer:
-10 -2d+7=8-10-3d
-2d + 7 =8 -3d
-2d + 7 =3d = 8
-2d + 3d = 8-7
d=8-7
d=1
Answer:
[tex]d = 1[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex]d - 10 - 2d + 7 = 8 + d - 10 - 3d[/tex]
[tex](d - 2d) + (-10 + 7) = (8 - 10) + (d - 3d)[/tex]
[tex](-d) + (-3) = (-2) + (-2d)[/tex]
Step 2: Add 2d to both sides
[tex]-d + 2d - 3 = -2 - 2d + 2d[/tex]
[tex]d - 3 = -2[/tex]
Step 3: Add 3 to both sides
[tex]d - 3 + 3 = -2 + 3[/tex]
[tex]d = 1[/tex]
Answer: [tex]d = 1[/tex]
Which expression represents the number of apples Johnny has?
Johnny picks 14 apples and gives some to his friends.
Answer:
Step-by-step explanation:
Let the number of apples given to his friends = x
To represent the number of apples Johnny has, subtract the apples given to his friends from 14
Number of apples with Johnny = 14 - x
if a−b=5 and ab=75 find the value of a2+b2
Please find attached photograph for your answer.
Solve for b.
- 3b-5> - 8 or b - 4 < 0
Answer:
b<4
Step-by-step explanation:
- 3b-5> - 8 or b - 4 < 0
Solve the first inequality
- 3b-5> - 8
Add 5 to each side
- 3b-5+5> - 8 +5
-3b> -3
Divide by 3, flipping the inequality
-3b/-3 < -3/-3
b <1
Then solve the second inequality
b-4<0
Add 4 to each side
b<4
Put them back together
b<1 or <4
Merge them since they overlap
b<4
Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when it is arranged in order. The difference in the largest and smallest values. The most numerous observation in a set of data. The arithmetic average of the values in the set.
Answer:
The midpoint of the data when it is arranged in order.
Step-by-step explanation:
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the median of the following set of numbers is 5
1, 2, 5, 10, 20
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Can someone help me with this math problem please?
Answer:
C
Step-by-step explanation:
g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.
f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.
The answer is c
The fitness center held a weight loss competition in which 128 people participated. The amount of weight loss was normally distributed with a mean of 18 pounds and a standard deviation of 5.4 pounds. Approximately how many people lost at least 15 pounds?
Answer:
37
Step-by-step explanation:
Given :
Sample size, n = 128
Mean, μ = 18
Standard deviation, σ = 5.4
Number of people who lost atleast 15 pounds :
The Zscore = (x - μ) / (σ)
Zscore = (15 - 18) / 5.4
Zscore = - 3 / 5.4
Zscore = - 0.5555
P(Z < - 0.555) = 0.28945
Number of people who lost atleast 15 pounds :
0.28945 * 128 = 37.0496
= 37 people
find the coordinates of the points which divide the join X(-1,7) and Y(4,-3) in the ratio of 7:2.
Answer:
(26/9 , -7/9)
Step-by-step explanation:
Here,
let the points be
X(-1,7) = (x1, y1)
Y(4,-3) = (x2,y2)
and let the ratio be...
m:n = 7:2
and.. let the point that divides the line be
P(x,y)
now using the section formula for internal division..
P(x,y) = ( m.x2 + nx.1 / m+ n , my2+ny2/m+n )
= ( 7.4+2.-1 / 7+2 , 7.-3 + 2.7/7+2 )
= ( 26/9 , -7/9 )
Solve x^2−4x−12=0 by completing the square. PLEASE HELP QUICK WILL GIVE BRAINLIEST
Answer:
The answer is B
Step-by-step explanation:
If u use calculator,u will get the ans as x¹=6 and x²= -2 but u have to change it to the opposite which means negatif to positive(-2=2) and positive to negative(6= -6).Hope u can understand...sorry,English isn't my first language
Answer:
x= 6 and x=-2
Step-by-step explanation:
find the two factors that when multiplied will get -12 and when summed up will get -4.
so -6 and 3
(xsquare-6) +(2x -12)=0
x(x-6)+2(x-6)=0
(x-6)=0 (x+2)=0
group like terms
x=6. x=-2
i need helpp plzzz!!!!!!!!!!!!!!!!
Can someone help me with this math homework please!
Answer:
- 2 / 7
Step-by-step explanation:
Let,
x1 = 7
x2 = 14
y1 = 2
y2 = 0
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 0 - 2 ) / ( 14 - 7 )
= - 2 / 7
[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{(4 - 2)}{(0 - 7)} \\ = \frac{2}{ - 7} \\ \\ so \: the \: slope \: is \: \frac{2}{ - 7}.[/tex]
This is the answer.
Hope it helps!!
What is the answer for y=?
Answer:
hwukebhejsnsknbjbbjkkkkkkkk
using the inverse trig functions, find the measure of angle X to the nearest degree
1. 64°
2. 16°
3. 90°
4. 74°
Answer:
Option 4.
Step-by-step explanation:
Tan(X)=perpendicular/base
Tan(X)=48/14
X=arctan(48/14)=74
y-3=2(x-3) y+5=2(x+1)
choose 1 answer
the same line
distinct parallel lines
Perpendicular lines
intersecting, but not perpendicular lines
Answer:
The same lines (answer)
Step-by-step explanation:
The equations can be written in slope-intercept form y = mx + c (where 'm' is slope and 'c' is the y-intecept) as,
y-3 = 2(x-3) .......(1) ; y + 5 = 2(x+1) ...........(2)
y = 2x - 6 + 3 ; y = 2x + 2 - 5
y = 2x -3 ; y = 2x - 3
Comparing with slope intercept form we have,
m1 = 2 ; m2 = 2
c1 = -3 ; c2 = -3
If the slopes are equal the lines are parallel and since y-intercepts are also equal means they are the same lines (overlapping)
What is the value of n
Answer:
60
Step-by-step explanation:
Manuel y Sara recorren cierta distancia, y los tiempos que emplean están en la razón 21 / 15 . La velocidad de Manuel es de 56km/h. ¿Cuál es la velocidad de Sara?
Answer:
The speed of Sara is 78.4 km/h.
Step- by-step explanation:
Manuel and Sara travel a certain distance, and the times they use are in the ratio 21/15. Manuel's speed is 56km / h. What is Sara's speed?
Let the distance is d.
speed of Manuel = 56 km/h
time taken by Manuel = 21 t
time taken by Sara = 15 t
Let the speed of Sara is v.
Distance = speed x time
For Manuel:
d = 56 x 21 t ..... (1)
For Sara:
d = v x 15 t ..... (2)
From (1) and (2)
56 x 21 t = v x 15 t
v = 78.4 km/h
Which graph represents the following piecewise defined function? g(x) = 1/2 x +3 , x< -2 g(x) = 2, -2<_ x <_3 g(x) = 2x-3 , x>3
In this question, a piece-wise function is asked to be graphed.
Piece-wise function:
A piece-wise function is a function that has different definitions, depending on the input.
In this question, the function has three different definitions:
When x is less than -2, the definition is:
[tex]g(x) = \frac{x}{2} + 3[/tex]
When x is between -2 and 3, inclusive, the function is:
[tex]g(x) = 2[/tex]
When x is greater than 3, the definition is:
[tex]g(x) = 2x - 3[/tex]
The graphic is given by the image at the end here, with the closed circle indicating the inclusive on the intervals.
For another example of a piece-wise graphic, you can check https://brainly.com/question/24324639.
Answer:
D
Step-by-step explanation:
edge!
A jar is filled with 74 different colored marbles, 10 of which are red, 38 of which are blue, and 26 of which are green. A player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. You may round your answer to the nearest cent
Solution :
Colored marble Prize
Red ---- 10 20
Blue --- 38 10
Green --- 26 5
P(red) = 10/74 = 5/37
P(blue) = 38/74 = 19/37
P( green) = 26/74 = 13/37
Therefore,
X → Red Blue Green
P(X) 5/37 19/37 13/37
The expected values are :
[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]
= -4.189
Thus it is not profitable to play the game.
Solve for x. Round to the nearest tenth.
Answer:
D. 14.1
Step-by-step explanation:
Use sin, opposite over hypotenuse.
sin67 = 13/X
solve for X
7x+8/2 = 9x+1
Give your answer as a fraction in its simplest form
Answer:
3/2
Step-by-step explanation:
the LCM is 2Thanks Hope It Helpxyz-4 xy+5 from 5 from 5xyz+xy+3yz_4
Page No 7.13:
Question 1:
Add the following:
(i) 3x and 7x
(ii) −5xy and 9xy
ANSWER:
We have
(i) 3x + 7x = (3 + 7)x = 10x
(ii) -5xy + 9xy = ( -5 + 9)xy = 4xy
A chocolate chip cookie recipe requires three and one third cups of flour to one cup of chocolate chips. If one and one quarter cups of flour is used what quantity of chocolate chips will be needed according to the recipe?
Answer:
3/40 cup
Step-by-step explanation:
3 1/3 =10/3
10/3 to 1 is 1/4 to x
i then proceeded to use the butterfly method to find the answer
Areas of rectangles with the same perimeter
Answer:
2(l+b ) is the answer
Step-by-step explanation:
ok mark me as markliest
I need answer LOL :(
find the smallest number by which 252 must be multiplied to get a perfect square . also find the square root of the perfect square so obtained.
We shall proceed in hit and trial method
Find some nearest multiples of 252
252(2)=504252(3)=756252(4)=1008252(5)=1260252(6)=1512252(7)=1764Yes last one is square of 42
So smallest no is 7
Line AB contains points A(4, 5) and B(9, 7). What is the slope of ?
Answer:
2/5
Step-by-step explanation:
We can find the slope by using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7 -5)/(9 - 4)
= 2/5
Please help me multiply this
Answer:
(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)
=3(x-4y)÷(x-8y)
What sum of money amount to Rs 6000 in two years at the rate of 10% per annum find it
Answer: Rs 5000 sum of money amount to Rs 6000 in two years at the rate of 10% per annum.
Step-by-step explanation:
Amount = Rs 6000
T = 2 year
R = 10%
So
I = A-P
so
I = PTR/100
or, A-P = (P*2*10)/100
or, 6000-P = 20P/100
or, 600000-100P = 20P
or, 600000 = 120P
or, P = 600000/120
so, P = Rs 5000
