Answer:
We can conclude that the room temperature on Saturday was 24°C
Step-by-step explanation:
For a set of N values:
{x₁, x₂, ..., xₙ}
The mean of the set is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In this case, our set is the temperature of 7 days (so we have 7 elements)
{T₁, T₂, T₃, T₄, T₅, T₆, T₇}
Such that:
T₆ = temperature on Saturday
T₇ = temperature on Sunday.
We know that:
"The mean room temperature from Monday to Saturday is 25°C"
Then:
[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]
"the mean room temperature of Saturday and Sunday is 28°C"
[tex]\frac{T_6 + T_7}{2} = 28C[/tex]
"The mean room temperature from Monday to Sunday is 26°C"
[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]
So we have 3 equations.
Let's rewrite:
T₁ + T₂ + T₃ + T₄ + T₅ = A
Then we can rewrite our equations as:
[tex]\frac{A+ T_6}{6} = 25 C[/tex]
[tex]\frac{T_6 + T_7}{2} = 28C[/tex]
[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]
Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:
A + T₆ = 6*25
T₆ + T₇ = 2*28
A + T₆ + T₇ = 7*26
We now need to solve that system for T₆
The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:
A = 6*25 - T₆
A = 150 - T₆
Now we can replace this on the other two equations:
T₆ + T₇ = 2*28
(150 - T₆ ) + T₆ + T₇ = 7*26
Now, let's isolate T₇ in the top equation to get:
T₇ = 2*28 - T₆
T₇ = 56 - T₆
Now we can replace this in the last equation to get:
(150 - T₆ ) + T₆ + (56 - T₆) = 7*26
Now, we can solve this for T₆
150 - T₆ + T₆ + 56 - T₆ = 182
-T₆ = 182 - 150 - 56
-T₆ = -24
T₆ = 24
We can conclude that the room temperature on Saturday was 24°C
pleasee fast help me pleaseeeeeeeeee
In a class, one third of the students like badminton, three-fourth of the students like football, 5 out of 6 of
the students like volleyball, 60 like football and volleyball, 65 like volleyball and badminton,
17 like badminton and football, 20% of the students like all three games and 8 students don't like any
game. Draw a Venn-diagram and find the total number of students in the class.
Answer:
The answer is below
Step-by-step explanation:
Let B represent those that like badminton, F represent those that like football and V represent those that like volleyball. Let x represent the total number of people.
n(B) = (1/3)x, n(F) = (3/4)x, n(V) = (5/6)x
n(B∩F∩V) = 20% of x = 0.2x
n(B∩F) = 17, hence n(B∩F∩V') = 17 - 0.2x
n(V∩F) = 60, hence n(B'∩F∩V) = 60 - 0.2x
n(B∩V) = 65, hence n(B∩F'∩V) = 65 - 0.2x
n(B∪F∪V)' = 8
n(B∩F'∩V') = (1/3)x - 0.2x - (17 - 0.2x) - (65 - 0.2x) = 0.533x - 82
n(B'∩F∩V') = (3/4)x - 0.2x - (17 - 0.2x) - (60 - 0.2x) = 0.95x - 77
n(B'∩F'∩V) = (5/6)x - 0.2x - (60 - 0.2x) - (65 - 0.2x) = 1.033x - 125
Therefore:
x = n(B∩F'∩V') + n(B'∩F∩V') + n(B'∩F'∩V) + n(B∩F∩V) + n(B∩F∩V') + n(B'∩F∩V) + n(B∩F'∩V) + n(B∪F∪V)'
x = (0.533x - 82) + (0.95x - 77) + (1.033x - 125) + (0.2x) + (17 - 0.2x) + (60 - 0.2x) + (65 - 0.2x) + 8
x = 2.1166x - 134
1.1166x = 134
x = 120
Therefore there was 120 students
pleaseeee helpppppppp its due now
Answer:
find AC and BC then check multiply their slopes
2/3+1/4=
Pls help meeeeeeee
Answer:
11/12 should be the correct answer!
Step-by-step explanation:
Let's make the denominator the same!
Lcm of 3 and 4 is 12
sooo... multiply
2/3 x 4/4 = 8/12
1/4 x 3/3 = 3/12
8/12 + 3/12 = 11/12
Mr Sharma packed 42 kg of tea into one big bag and 6 small ones each of the same size the big bag contained 3/7 of the tea how many kg of tea did each small bag contain
Answer:
4kg
Step-by-step explanation:
Mr Sharma packed 42 kg of tea into one big bag and sox small bags each of the same size
The first step is to calculate the quantity in the big bag
= 3/7 × 42
= 3×6
= 18
The amount left in the remaining bags is
= 42-18
= 24
Therefore the kg of tea in the small bags can be calculated as follows
= 24/6
= 4
Hence there are 4kg of tea in the small bags
please show your work
Answer:
52
Step-by-step explanation:
If JK bisects the angle, the two angles are equal
6x+2 = 8x-6
Subtract 6x from each side
6x-6x+2 = 8x-6x-6
2 = 2x-6
Add 6 to each side
2+6 =2x-6+6
8 =2x
Divide by 2
8/2 =2x/2
4 =x
Now find angle LJM, which is the sum of the two angles
6x+2 + 8x-6
14x -4
14*4-4
56-4
52
Answer:
D) 52
Step-by-step explanation:
since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other
so
(6x+2)=(8x-6)
-6x -6x
2=2x-6
+6 +6
8=2x
/2 /2
x=4
no you plug x back into one of the equations so
6(4)+2=26
now 26x2=52
Pls help! Pls pls pls
Answer:
38
Step-by-step explanation:
Complement means that the 2 angles add up to 90 so:
x + 52 = 90
x = 90 - 52
x = 38
choose ALL the of the fractions that are equivalent .
a. 4/3 = 8/6
b. 9/6 = 5/3
c. 3/2 = 9/6
d. 5/3 = 10/6
e. 4/2 = 12/6
f. 6/3 = 1/2
Answer:
a) c) d) e)
Step-by-step explanation:
a) cross-products are equal; 24 = 24
c) cross-products are equal; 18 = 18
d) cross-products are equal; 30 = 30
e) cross-products are equal; 24 = 24
Answer:
A. 4/3 = 8/6 C. 3/2 = 9/6 D. 5/3 = 10/6 E. 4/2 = 12/6
Help me i just need this one
Answer:
x = 12
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of its opposite interior angles in a triangle
∠CBV is an exterior angle and ∠BCD and ∠CDB are ∠CBV's opposite interior angles
This means that ∠BCD + ∠CDB = ∠CBV
If we are given that ∠CBV = 9x - 3, ∠BCD = 5x + 15 and ∠CDB = 30
Then 9x - 3 = 5x + 15 + 30
^ (Note that we just created an equation we can use to solve
for x )
We then use the equation we created to solve for x
9x - 3 = 5x + 15 + 30
step 1 combine like terms
30 + 15 = 45
we now have 9x - 3 = 5x + 45
step 2 add 3 to each side
-3 + 3 cancels out
45 + 3 = 48
we now have 9x = 5x + 48
step 3 subtract 5x from each side
9x - 5x = 4x
5x - 5x cancels out
we now have 4x = 48
step 4 divide each side by 4
48 / 4 = 12
4x / 4 = x
we're left with x = 12
Answer:
30+5x+15=9x-3
9x-5x =45+3
4x=48
x =12
seth put $500 in his savings account, which earns a earns a simple interest rate of 4%
A. use the simple interest equation ( I=Prt ) to find out how much interest seth earns after 6 years.
B. now find out how much interest seth wold earn if he were to earn 7% compound interest for 6 years
Someone help me out :)
Answer: sorry i dont know this
Step-by-step explanation:
Help me QUICK
Picture included of the problem
I think it would be a and f :)
A right triangle has legs E and f and hypotenuse H. The value of e= 10. The angle opposite leg f is 35°. Which expression can be used to find the length of the hypotenuse? Show your work am offering brainliest and 45 points‼️‼️‼️
Answer:
sorry buddy i dont know the answer hope this helps
Step-by-step explanation:
Isn't this what u did to me when i needed help and took my points away.
Suppose the height of a ball in feet is given by the quadratic equation below, where T is in seconds. What expression will give the time when the ball reaches its maximum height? h=-16t^2+50t+8. Please look at the image for the available answers. Thank you.
Answer:
t = -50/(2 * (-16))
Step-by-step explanation:
For quadratics of the form
y = ax^2 + bx + c
the x coordinate of the vertex is
x = -b / 2a
----------------------
h = -16t^2 +50t + 8
a = -16
b = 50
t at Vertex
t = -50/(2 * (-16))
Here is a equation. Find x.
(2+x)5=11
Answer:
x = 0.2
Step-by-step explanation:
Distribute the 5 to (2 + x) to make it 10 + 5x = 11. You can rewrite it to make it 5x + 10 = 11 to make it easier if you want but you dont have to. Subtract the ten from both sides to make it 5x = 1. Divide both sides by 5 to get 0.2. If you want to double check your answer you can substitute 0.2 in for x in (2 + x)5 = 11 or in 5x + 10 = 11. It doesn't matter which.
Pranav paints a wall of area 53m^2 one litre of paint covers an area of 4.5m^2 paint is sold in 2.5 litre tins, each costing $24.75 Pranav buys the least number of tins to paint this wall work out the cost of the paint
Answer:
The cost of the paint will be $123.75.
Step-by-step explanation:
Since Pranav paints a wall of area 53m ^ 2, and one liter of paint covers an area of 4.5m ^ 2, and paint is sold in 2.5 liter tins, each costing $ 24.75, if Pranav buys the least number of tins to paint this wall, to determine the cost of the paint, the following calculation must be performed:
(53 / 4.5) = liters of paint needed
11.77 = liters of paint needed
11.77 / 2.5 = tins of paint needed
4.71 = tins of paint needed (rounds to 5)
5 x 24.75 = Total cost
123.75 = Total cost
The cost of the paint will be $123.75.
Which could be a graph which represents a quadratic that is a perfect square trinomial?
Answer:
D/#4 represents a quadratic that is a perfect square trinominal. :-D
I really need help !!!
Answer:
heyy sorry i dont really know what is the 'standard deviation' but as for the mean you go to add all the numebers together and divide them by the amount of numbers there are (7 in this scenario)
Step-by-step explanation:
21 + 29.5 + 38 + 46.5 + 55 + 63.5 + 72 = 325.5
then you divide 325.5 by the number of numbers present in the question
325.5 / 7 = 46.5
hope it helped :)
अब पछताए होत कया जब चिडिया चुग गई खेत अनुचछेद लिखिए
Step-by-step explanation:
Go to the Indian Brainly.
I am Indian.
Which equation represents a line which is parallel to the line 3x+y=8?
A. y=3x-4
B. y=−3x+2
C. y= 1/3x + 6
D. y= -1/3x-2
Answer:its A or C
Step-by-step explanation:i hope this helps
find the value of x.
[tex]\huge\bold{To\:find:}[/tex]
✎ The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:value\:of\:x\:is\:10°. }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Since it is right angle,
[tex]Sum \: of \: angles \: = 90° \\ ⇢ 2x °+ 7x° =90 ° \\ ⇢9x° = 90° \\ ⇢x° = \frac{90°}{9} \\ ⇢x° = 10°[/tex]
[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:10°.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]2x° + 7x° = 90° \\ ➡ \: 2 \times 10° +7 \times 10° = 90° \\ ➡ \: 20° + 70° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.ඞ}}}}}∘[/tex]
A rectangle is to be drawn with perimeter 64cm. If the length is to be 14cm more than the width, determine the are of the rectangle.
Please use system of linear equations by elimination OR substitution. I need the work as well please.
P = 64 cm
2(( x + 14) + x) = 64
2x + 28 + 2x = 64
4x + 28 = 64
4x = 64 - 28
4x = 36
x = 36/4
x = 4
width = 4
lenight = 18
area = l x b
area = 18 x 4
area = 72
George has to pay $30 in taxes for every $100 that he earns. Last summer, he earned $3680. How much did he pay in taxes?(must use direct proportion) pleaseee help
Answer:
$1,140
Step-by-step explanation:
Step 1: Set up a fraction and solve (We are doing this to make it simpler to solve. So let us use "x" to represent how much he paid in taxes. )
[tex]\frac{30}{100}=\frac{x}{3680}[/tex]
Step 2: Solve; Divide the given values (The given values are 100 over 30. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.3 once divided)
[tex]\frac{30}{100}[/tex]
Cancel both zeros
[tex]\frac{30}{100}\\\\= \frac{3}{10}[/tex]
Divide
[tex]\frac{3}{10}\\\\= 3 \div 10\\\\= 0.3[/tex]
Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]0.3\\\\0.3 \times 3680\\\\=1140[/tex]
Therefore, George paid 1140 dollars in taxes last summer.
A coffee shop sells five different flavors of coffee. They want to compare how much of each is sold on Saturday morning. Which graph would be the best?
a) bar graph
b) histogram
c) line graph
d) scatter plot
Answer:
Bar graph
Step-by-step explanation:
is the right answer for mine
Find the equation of a line with m = 3 that passes though the point (-12,
4).
Answer:
y = 3x + 40
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (- 12, 4 ) into the partial equation
4 = - 36 + c ⇒ c = 4 + 36 = 40
y = 3x + 40 ← equation of line
A certain coin is a circle with diameter 18 mm. What is the exact area of either face of the coin?
The exact area of either face of the coin is mm2.
(Simplify your answer. Type an exact answer in terms of st.)
============================================================
Explanation:
If the diameter is d = 18, then the radius is half that at r = d/2 = 18/2 = 9
Then that radius is plugged into the circle area formula below
A = pi*r^2
A = pi*9^2
A = pi*81
A = 81pi
If you were to use an approximation like pi = 3.14, then the approximate area would be 81*pi = 81*3.14 = 254.34 mm^2; however, your teacher wants you to write the exact area.
Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).
a.
(-7.7,-3)
c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)
Please select the best answer from the choices provided
A
B
C
D
Given:
A vector from (-3.7,2) to (-4, -5).
To find:
An ordered pair that represents the vector
Solution:
If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:
[tex](x_2-x_1,y_2-y_1)[/tex]
A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:
[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]
[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]
[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]
Therefore, the correct option is b, i.e., (-0.3,-7).
Pls help
Will give brainliest
Determine the probability of three sunny days in a row when the probability of rain on each day is 20%
A) 80 %
B) 0.8%
C) 51.2%
D) 60 %
The probability of 3 sunny days in a row is P = 0.512, so the correct option is C.
How to find the probability?We know that the probability of rain each day is 20%. Then the probability of a sunny day is 100% - 20% = 80%.
Writing this probability in the decimal form we get 0.8.
Now, to get 3 sunny days in a row, we need to have the probability 0.8 3 times (and remember that the probabilities multiply between them) so the joint probability is:
[tex]P = (0.8)^3 = 0.512[/tex]
To get it in percentage form, we multiply it by 100%.
P = 0.512*100% = 51.2%
So the correct option is C.
If you want to learn more about probability:
https://brainly.com/question/25870256
#SPJ2
Find the area of the triangle
Answer:
12 units2
Step-by-step explanation:
(6x4) /2 =12
HELLLLPPPPPPP PLEASEEEEEE BEGGGGI G SOMEONE PLEASEEEEEEEEE
Answer:113
Step-by-step explanation:
4. Does the following Infinite geometric series diverge or converge? Explain.
3 + 9 + 27 +81 +
It diverges; it does not have a sum.
It converges; It has a sum.
It diverges; it has a sum.
It converges; it does not have a sum.
Answer:
It diverges; it does not have a sum.
Step-by-step explanation:
3, 9, 27, 81, ..
ratio = r = 9/3 = 3
since |r| ≥ 1, it diverges and doesn't have a sum
The solution is, the given series is divergent and it has a sum infinity.
Option (A) is CORRECT. i.e. It diverges; it does not have a sum.
What is geometric series?A geometric series is a series in which the division of any consecutive two terms will be the same.
here, we have,
We are given to check whether the following infinite geometric series diverge or converge :
given that,
3 + 9 + 27 +81 +....
We know that
an infinite geometric series diverges if the modulus of the common ratio is greater than 1.
For the given geometric series, the common ratio r is given by
r = 9/3
= 3
So, we get
r = 3 > 1
Therefore, the given infinite geometric series diverges.
Also, we know that the sum of a divergent infinite geometric series with first term a and common ratio r is given by,
the sum will be infinity.
For the given series,
it does not have a sum.
Therefore, the required sum will be infinity.
Thus, the given series is divergent and it has a sum infinity.
Option (A) is CORRECT. i.e. It diverges; it does not have a sum.
For more about geometric series
brainly.com/question/4617980
#SPJ7