Answer:
x=5ft
Step-by-step explanation:
3 is half of 6, so triangle DEF is half as big as triangle ABC. Hope this helps.
Each of 6 students reported the number of movies they saw in the past year. Here is what they reported.
8,6,8,5,4,6
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answer:
[tex]\boxed {\boxed {\sf mean \approx 6.3}}[/tex]
Step-by-step explanation:
We are given this data and asked to find the data.
8, 7, 8, 5, 4, 6
The mean is also called the average. It is found by dividing the sum of the terms by the number of terms.
[tex]mean= \frac {sum \ of \ terms}{number \ of \ terms}[/tex]
First, we calculate the sum of the terms. Add up all the numbers.
sum= 8+7+8+5+4+6 sum= 38[tex]mean=\frac{38}{number \ of \ terms}[/tex]
Next, divide by the number of terms. There are 6 terms (also, there are 6 students that reported).
[tex]mean=\frac{38}{6}\\mean=6.33333333333[/tex]
Let's round to the nearest tenth.
6.33333333333The 3 in the hundredth place tells us to leave the 3 in the tenth place.
[tex]mean \approx 6.3[/tex]
The mean number of movies the students saw is approximately 6.3
Step-by-step explanation:
Terms are
8,6,8,5,4,6[tex] \rm \mapsto \: mean = \frac{sum \: of \: terms}{number \: of \: terms} \\ \rm \mapsto \: \frac{8 + 6 + 8 + 5 + 4 + 6}{6} \\ \rm \mapsto \: \frac{14 + 13 + 10}{6} \\ \rm \mapsto \: \frac{37}{6} \\ \rm \mapsto \: 6.166 \\ \rm \mapsto \: 6.1 \overline{6} \\ \rm \mapsto \: 6.2[/tex]
[tex]\boxed{\large{\sf Mean\approx 6.2}}[/tex]
[tex]\sf Knowledge\:booster{\begin{cases}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{C} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{C} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{cases}}[/tex]
write in standard rorma
y =2/3x-6
Answer:
-2/3x+y=6
Step-by-step explanation:
Standard form is just x+y=n, so all that we have to do it get that x over by subtraction.
HELP ASAP ASAP ASAPPPPPPPP
Answer:
20
Step-by-step explanation:
If they were whole itd be ten but there halves so 20
I need to ask u two question for my Statistics Project. This is more of a survey.
I need help, please and Thank you!!
Answer:
87.55 cm²
step-by-step:
Base = 17 cm
Height = 10.3 cm
The area of triangle = 1/2 × Base × Height
→1/2× 17× 10.3
→175.1/2
→ 87.55cm^2
[tex]------------[/tex]
hope it helps...
have a great day!!!
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer:
not necessarily congruent
Step-by-step explanation:
asa is angle side angle , in this case, none of the sides are marked congruent
sas is side angle side, again, no sides marked congruent
sss, side side side, again, no sides are marked congruent
which only leaves the triangles not being congruent.
What is the value of S4 for infinity sigma n=1 10(0.2)^n-1
A. 2.48
B. 12.48
C. 16
D. 24
Answer:
The answer is B. 12.48. I hope you have an amazing day <3
Step-by-step explanation:
Answer:
The value of S4 for infinity sigma n=1 10(0.2)^n-1 is B. 12.48
Step-by-step explanation:
Summationsummation is the addition of a sequence of any kind of numbers
Here we need to find the summation of first four terms.
so ,
S₄ = 10 ×[tex]( 0. 2 )^{4-1}[/tex] = 0.08
S₃ = 10 × [tex]( 0.2 )^{3-1}[/tex] = 0.4
S₂ = 10 × [tex]( 0.2 )^{2-1}[/tex] = 2
S₁ = 10 × [tex]( 0.2 )^{1-1}[/tex] = 10
Thus, The Value of Summation = S₄ + S₃ + S₂ + S₁ = 12.48
To know more about the summation click here.
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The minute hand on a clock is 9 centimeters long and travels through an arc of 252 degrees every 42 minutes. To the nearest tenth of a centimeter, how far does the hand travel during a 42-minute period? (Use *insert pi symbol here* to approximate your answer) (Hint:Find the arc length)
Answer:
39.6 cm
Step-by-step explanation:
Applying
s = 2πrθ/360................ Equation 1
Where s = length of an arc or distance traveled by the minutes hand of the clock during the 42 munites, r = length of the minutes hand of the clock, θ = Angle traveled by the minute hand of the clock for every 42 minutes
From the question,
Given: r = 9 cm, θ = 252°
Constant: π = 22/7 = 3.14
Substitute these values into equation 1
s = (2×3.14×9×252)/360
s = 39.564
s = 39.6 cm
Find x if the average of 20, 15, 13, 17, and x is 18.
Answer:
5
Step-by-step explanation:
Market price of an article is 30% above its purchase price.If the shopkeeper sold it by allowing 15% discount,then (i) Calculate the market price and profit amount if the shopkeeper paid 2500 for the article.
solution by step:
The market price and profit amount if the shopkeeper paid 2500 for the article will be 3250 and 11.05%.
What exactly is profit?Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.
Given data;
Purchase price = 2500
Given condition;
The markup is 30% more than the purchasing price.
Mark Price is found as;
[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]
The marked price of an article will be 3250.
Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;
[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]
The profit in the article is found as;
Profit = 2762.5-2500
Profit = 226.25 RS
Now profit % is found as;
[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];
Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article, will be 3250 and 11.05%.
To learn more about the profit refer to the link;
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The volume of a cube is 124 cubic inches.
What is the side length of the cube?
Answer:
4.987 in
Step-by-step explanation:
Volume of a cube= (where x= side)
x³
we know that
124=x³
∛124=x
x=4.986630952 which rounds to
4.987
Answer: a≈4.99in
Step-by-step explanation:
Using the formula
V=a³
Solving for a
a=V <To Power> ⅓ = 124⅓ ≈ 4.98663in
Any five people on a committee of nine can decide for the committee. How many groups of five people are there?
15,120
45
126
1,860
Answer:
B. 45
Step-by-step explanation:
Just a pure guess. I got roasted a lot of times :( so I just guessed
126 groups can be made.
What is Combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by
n^C_r = n!/ r!( n-r)!
Suppose we have a set of 6 letters { A,B,C,D,E,F}. In how many ways can we select a group of 3 letters from this set? Suppose we find the number of arrangements of 3 letters possible from those 6 letters. That number would be 6P3
. Consider the permutations that contain the letters A, B, and C. These are 3! = 6 ways, namely ABC, ACB, BAC, BCA, CAB, and CBA.
We calculate combinations using the combinations formula, and by using factorials and in terms of permutations. In general, suppose we have n things available to us, and we want to find the number of ways in which we can select r things out of these n things. We first find the number of all the permutations of these n things taken r at a time. That number would be
nPr.
Given:
n= 9, r=5
n^C_r= 9!/ 5! * 4!
= 9*8*7*6/ 4*3*2
=126
Hence, there are 126 ways.
Learn more about combination here:
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solve the equation for x
Answer:
1/4x=8 which also equals 32
Step-by-step explanation:
12-4=8
5/8-3/8=2/8=1/4
1/4x=8 then you would multiple each side by 4 to cancel out and 4*8=32
Item 5 is unpinned. Click to pin.
Using the trend line equation, what is the predicted approximate value of y when x= 4.5?
5.12
3.98
3.47
2.75
Answer:
I think the answer is 3.47
The angle of elevation from a point on the ground to the top of a tower is 36° 30'. The angle of elevation from a point 140 feet farther back from the tower is 25° 51'. Find the height of the tower. Round your answer to the hundredths place.
Answer:
67.83 feet
Step-by-step explanation:
Let h be the height of the tower and d be the distance from the point on the ground to the tower at an angle of elevation of 25° 51' from the tower. The line of sight of this point from the top of the tower, h and d form a right-angled triangle with the line of sight at an angle of elevation of 25° 51' being the hypotenuse side.
Using trigonometric ratios,
tan25° 51' = h/d
h = dtan25° 51'
We convert to degrees 25° 51'
25° 51' = 25° + 51' × 1°/60' = 25° + 0.85° = 25.85°
So, h = dtan25.85°
d = 140 feet
h = 140tan25.85°
h = 140 × 0.4845
h = 67.83 feet
What is the answer to this question?
Answer:
Step-by-step explanation:
Hello!
2*2* 5+ 2*2*4 =
20 + 16 = 36 cm³
Is the following sequence arithmetic?
23, -7, -37, -67, …..
Answer:
No it's not an Arithmetic Sequence since it doesn't have a constant common ratio
Hope this helps!
At the school carnival, Luke bought a hot dog for $2. He also bought game tickets for $0.25
each. Luke spent a total of $10. Which of the following equations can be used to find the
number of game tickets Luke bought?
Answer:
2+.25x=10
Step-by-step explanation:
Which property is being used here?
-7 + 7 = 0
Please Answer This Question!
Answer: x=25
Step-by-step explanation: equation comes out to
4x+80=180
4x=100
x=25
Answer:
x=25
Step-by-step explanation:
x+30+x+40+2x+10=180
Add the X up together and the other number which will be
4x+80=180
subtract 80 from both sides
4x=100
divide 4 from both sides
x=25
The deli sells a bag of chips with a soda for $3.50. They charge a 6% tax. On top of that they charge a .25 cent fee for using a credit card. What would the total be for this snack?
Answer:
3.96
Step-by-step explanation:
3.50 x .06 =.21. Tax
3.50+.21+.25=3.96. Total + tax + credit card fee
x + 6 = 4
what is x ??
Answer:
x= (-2)
Step-by-step explanation:
brainliest?
What is the circumference of this circle? Use 3.14 for pie
Answer:
37.68
Step-by-step explanation:
C=3.14 x 12
3rd retry of this question! Please stop using bots to put in links as your answers!!! Please help me with this question! Thanks in advance!
Darius makes a shirt for $8. He sells the shirt for $18. By what percentage did Darius increase the cost of the shirt?
Answer:
He increased it by 225%
Step-by-step explanation:
18/8=2.25 and that into a percent is 225%
A line passes through the point (0,5) and has a slope of -1/2. Which is the equation of the line in slope-intercept form?
A) 2x + y = 7
B) y = 3x + 5
C) y = -2x + 7
D) y = -1/2x + 5
thank you !!:) <3
Answer: i think it’s D
Step-by-step explanation:
what operation do we use 2/5 of 100? what operation is involved when you use the word of here?
Answer:
multiply
Step-by-step explanation:
2/5of 100 === 2/5 × 100
Answer =40
Answer:
multiplication
Step-by-step explanation:
the word of means to multiply, so it would be multiplication
the equation written out would look like:
[tex]\frac{2}{5}*100[/tex]
ILL MARK BRAINIEST IF YOU GET THIS RIGHT!!!
Answer:
the answer is B!
hope this helps!
3. Find the surface area of the square pyramid.
Answer:
answer: 105
Step-by-step explanation:
For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!
triangle ABC has A(1,2), B(3,1), and C(2,4). it is reflected across the x-axis and then across the y-axis. which point is in the resulting image
Help! Please anyone. I need help!
Answer:
Isn't it supposed to put where the number/symbol is.....
Step-by-step explanation: