Answer:
True
Step-by-step explanation:
Because this sign < eats the 3
out of some students appeared in an examination 80% passed in mathematics 75% passed in english and 5% failed in both subjects if 3000 of them were passed both subjects how many students were appeared i the examination find by using a venn diagram
Answer:
5000 students appeared in the examination.
Step-by-step explanation:
We solve this question using Venn probabilities.
I am going to say that:
Event A: Passed in Mathematics
Event B: Passed in English.
5% failed in both subjects
This means that 100 - 5 = 95% pass in at least one, which means that [tex]P(A \cup B) = 0.95[/tex]
80% passed in mathematics 75% passed in english
This means that [tex]P(A) = 0.8, P(B) = 0.75[/tex]
Proportion who passed in both:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Considering the values we have for this problem
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]
3000 of them were passed both subjects how many students appeared in the examination?
3000 is 60% of the total t. So
[tex]0.6t = 3000[/tex]
[tex]t = \frac{3000}{0.6}[/tex]
[tex]t = 5000[/tex]
5000 students appeared in the examination.
I don’t get how to find the value of m, completely lost
Answer: 9
Step-by-step explanation:
[tex]5^{2}[/tex] x [tex]5^{m}[/tex] is same as [tex]5^{2 + m}[/tex]
So, [tex]5^{2+m} = 5^{11}[/tex]
Since we have the same base we can negotiate it,
2 + m = 11
m = 11 - 2
m = 9
calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth if necessary.
Answer:
V = 217.71 in^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 (3.14) (4)^2 ( 13)
V = 217.70666
Rounding the the nearest hundredth
V = 217.71 in^3
8. If a parallelogram has an area of
115 square units and a base length of
12, what is the height of the
parallelogram, to the nearest
hundredth?
9514 1404 393
Answer:
9.58 units
Step-by-step explanation:
The area is given by the formula ...
A = bh
Solving for height, we get ...
h = A/b
Filling in the given values, we find the height to be ...
h = (115 u²)/(12 u) ≈ 9.58333... u
The height is about 9.58 units.
How long would it take to drive 15 miles at a speed of 64 mph?
Answer:
14 minutes and 4 seconds
Step-by-step explanation:
To solve this you need to use the time speed distance formula.
Distance = Speed × Time
Speed = Distance / Time
Time = Distance / Speed
Speed: 64 mile per hour (km/h)
Distance: 15 miles
Time = Distance / Speed
Time = 70 mile / (50 mile/h)
Time = 14 minutes and 4 seconds
Hope this helps!
Which equation is a linear function?
y=-5
y= 22 +7
y=22 - 1
y= ? +3
Answer:
let ? be x
every linear equation is y=mx+c
so the answer would be y=?+3
How many centimeters are equal to 5 meters? Enter your answer in the box.
Answer:
500
Step-by-step explanation:
Find the length of X (IN THE PICUTRE GIVING BRAINLEST TO BEST answer)
Answer:
x=3
Step-by-step explanation:
Since they are similar triangles, we can use ratios to solve
x 3.5
----- = -------
6 7
Using cross products
7x = 21
Divide each side by 7
7x/7 = 21/7
x = 3
If AABC ~ ADEF, what is the length of DE?
WILL GIVE BRAINIEST TO THE RIGHY ANSWER NEED HELP ASAP check the picture
Answer:
21 units
Step-by-step explanation:
[tex] \triangle ABC\sim \triangle DEF... (given) [/tex]
[tex]\huge \therefore \frac{AB}{DE} =\frac{BC}{EF}.. (csst) [/tex]
[tex] \huge \therefore \frac{8.4}{x} =\frac{10}{25} [/tex]
[tex] \huge \therefore x=\frac{25\times 8.4}{10} [/tex]
[tex] \huge \therefore x=\frac{210}{10} [/tex]
[tex]\huge \therefore x=21 [/tex]
Hence, length of DE = 21 units
A segment is connected to two sides of a triangle so that it is parallel to the third side. What is the value of x?
Answer:
A
Step-by-step explanation:
Set up a ratio for the two triangles that are there.
x/(x + 10) = 20 / (20 + 8) Combine the two terms in the right denominator
x/(x + 10) = 20/28 Cross Multiply
28x = 20(x + 10) Remove the brackets on the right
28x = 20 x + 200 Subtract 20x from both sides
8x = 200 Divide by 8
x = 200 /8
x = 25
could someone help me out
Answer:
-
x -4. 1 6 11
y -3 -2 -1 0
-7 -7 +5 11
If Ryuk eats 7 apples for every 50 names Light writes in the death note, how many apples will he have eaten after Light writes 500 names in the death note?
Answer:
70 apples
Step-by-step explanation:
We can use a ratio to solve
7 apples x apples
-------------- = -------------
50 name 500 names
Using cross products
7 * 500 = 50x
Divide by 50
7 * 500/50 = 50x/50
70 =x
Answer:
70 apples he will have eaten after 500 names light writes in the death note.
Step-by-step explanation:
Given : -
Ryuk eats 7 apples for every 50 names Light writes in the death note.To Find :-
how many apples will he have eaten after Light writes 500 names in the death note?Solution :-
Let be x is the no. of aaples will have eaten after light writes 500 names in the death note..
7 apples = 50 names
x apples = 500 names
Using cross multiplication method
7 × 500 = 50 × x
3500 = 50 x
Divide each side by 50
3500 / 50 = 50 x / 50
70 = x
Hence, 70 apples he will have eaten after 500 names light writes in the death note.
ERRE
What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42?
2 units
4 units
8 units
0 16 units
Answer:
4 units
Step-by-step explanation:
(x + 5)^2 + (y - 3)^2 = 4^2
The equation for a circle is written in the form
(x -h)^2 + (y - k)^2 = r^2 where (h,k) is the center and r is the radius
The center is (-5,3) and the radius is 4
5x2 + 15x=0 is a quadratic equation.
True
False
Answer:
true
Step-by-step explanation:
tama yan tiwala kalang sa sarili mo hehe
Answer:
True
Step-by-step explanation:
5x^2 + 15x = 0
5x^2 + 5x + 0 = 0
This is in the form of ax^2 + bx + c
Therefore,
5x^2 + 15x = 0 is a quadratic equation.
This is hard question can any wan help me
Answer:
8.2secs
Step-by-step explanation:
Given the expression for calculating the height as;
h = -16x^2+127x+80
Given h = 40
Substitute
40 = -16x^2+127x+80
-16x^2+127x+80 - 40 = 0
-16x^2+127x+40 = 0
16x^2-127x-40 = 0
Factorize
x = -(-127)±√(-127)²-4(16)(-40)/2(16)
x = 127±√16,129+2,560/32
x = 127±√18,689/32
x = 127±136.71/32
x = 127+136.71/32
x = 263.71/32
x = 8.24
Hence the required time to the nearest tenth is 8.2secs
Janelle sketched the picture below showing distances that were measured
from trails around her cabin. She knows that AFPC - ANPW. Calculate
the length across the pond located next to the cabin.
NEED HELP ASAP thanks in advance, Check the picture
Answer:
The answer is C.
Step-by-step explanation:
In order to solve the problem, we have to prove that triangle FCP and triangle WNP are similar triangles.
The fraction of NP to PF is 19/60.8 or 5/16 when simplified.
The fraction of WP to PC is 28/89.6 or also 5/16 when simplified.
Finally, angle FPC and angle WPN are equal to each other since they are opposite angles.
Hence, it proves that triangles FCP and WNP are similar to each other using Side-Angle-Side.
Since these two triangles are similar, the fraction of WN to FC is also 5/16.
Hence, the length FC is 26 * 16/5 = 83.2
Four different sets of objects contain 2,5,6 and 7 objects respectively how many unique combinations can be formed by picking one object from each set
Answer:
420 unique combinations.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
One object from each set:
2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:
2*5*6*7 = 10*42 = 420
420 unique combinations.
Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? 359+558 Round the two numbers to the nearest ten. An estimate of the sum is:______. The actual sum is How reasonable is your estimate when compared to the actual answer? A. Not reasonable. The estimate seems too low compared to the actual answer B. Reasonable. The estimate seems a little tower compared to the actual answer. C Reasonable. The estimate sooms a little higher compared to the actual answer. D. Not reasonable. The estimate seems too high compared to the actual answer
Answer: C. Reasonable. The estimate sooms a little higher compared to the actual answer
Step-by-step explanation:
The actual answer to 359+558 is 917. On the other hand, 359 to the nearest ten is 360 while 558 to the nearest ten is 560. The addition of the numbers will be: = 360 + 560 = 920
The estimated answer is 920 while the actual number is 917. Therefore, the estimate is reasonable as the estimate sooms a little higher compared to the actual answer.
what is the measure of angle CBE?
Answer:
72°
Step-by-step explanation:
180-3x=2x
5x=180
x=36
Angle CBE = 2(36) = 72
Which drawing wouldn’t be useful to find the area of this trapezoid? and why ?
Answer:
C
Step-by-step explanation:
Though you may think that u can change that piece to there, but the possibility is very less
At a coffee shop, the first 100 customers'
orders were as follows.
Small Medium Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a cold drink given that he or she ordered a large?
Rounded to the nearest percent, [? ]%
Answer:
Percentage = 6.8% or 7%
Explanation
cold = 25/100
Large = 27/100
large multiplied by cold = (25/100 x 27/100) / 25 x 27 = 0.0675 x 100
= 6.75%
Percentage = 7 %
or 6.8 % to 1dp
The probability is equal to the ratio of the number of favourable outcomes and the total number of outcomes. Here the percentage that the customer ordered a cold drink is 5.5 %.
What is probability?Probability is the measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can only predict the chance of an event to occur. The probability of all the events in a sample space adds up to 1.
The value is expressed from zero to one. Here zero means the event is impossible.
Here the probability to select cold drink = 25 /100
The probability to select Large drink = 22 / 100
When we multiply both the probability, then it becomes:
25 /100 × 22 / 100 = 25 × 22 = 550 / 100 = 5.5 %
Thus the probability is 5.5 %.
To know more about probability, visit;
https://brainly.com/question/31355126
#SPJ7
Write the equation in slope-intercept form of the line that includes the point (3,2) and has a slope of 4/3.
Answer:
[tex] y = \frac{4}{3}x - 2 [/tex]
Step-by-step explanation:
Given:
Slope (m) = ⁴/3
Point on the line = (x, y) = (3, 2)
Required:
Write the equation in slope-intercept form which is y = mx + b
Solution:
Since we know the slope(m), we need to find the y-intercept (b).
This, substitute (x, y) = (3, 2) and m = ⁴/3 into y = mx + b, and solve for b. Thus:
2 = ⁴/3(3) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
To write the equation, substitute m = ⁴/3 and b = -2 into y = mx + b
[tex] y = \frac{4}{3}x - 2 [/tex]
Will give Brainliest for correct answer! PLEEASE HEEELP A restaurant owner wants to fence in a rectangular courtyard along one side of the restaurant for outdoor dining. The total area she can fence in is 600 square feet. Part A: Write an equation to find the area of the fenced region. Part B: Which value of x yields the least amount of fencing? Part C. What is the least amount of fencing needed?
Answer:
[tex]area \: of \: a \: rectangle = \: length \times width(or \: breadth) \: (unit ^{2} )[/tex]
Part B: I don't know part B :-)(•‿•)
Find the difference.
(-ab+3a-3) - (3ab+2)
Answer:
3a-4ab-5
Step-by-step explanation:
(-ab+3a-3) - (3ab+2)
Distribute the minus sign
(-ab+3a-3) - 3ab-2
Combine like terms
3a-4ab-5
Answer:
[tex]-4ab+3a-5[/tex]
Step-by-step explanation:
Hi there!
[tex](-ab+3a-3) - (3ab+2)[/tex]
Open up the parentheses
[tex]-ab+3a-3- 3ab-2[/tex]
Combine like terms
[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]
I hope this helps!
Using the area model below, write the standard form of the product.
- 3x
2.
x2
-14x
5
Answer:
-3x³ + 44x² - 43x + 10
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}&-3x&2\\x^2&-3x^3&2x^2\\-14x&42x^2&-28x\\5&-15x&10\end{array}\right][/tex]
= -3x³ + 2x² + 42x² - 28x - 15x + 10 = -3x³ + 44x² - 43x + 10
Write the quadratic function f(x) = x2 – 2x – 8 in factored form.
Question 14 options:
A)
f(x) =(x – 4)(x – 2)
B)
f(x) =(x + 4)(x + 2)
C)
f(x) =(x + 4)(x – 2)
D)
f(x) =(x – 4)(x + 2)
Answer:
f(x) = (x-4)(x+2)
Step-by-step explanation:
f(x) = x^2 – 2x – 8
What 2 numbers multiply to -8 and add to -2
-4*2 = -8
-4+2 = -2
f(x) = (x-4)(x+2)
[tex]\longrightarrow{\green{ D. \:f(x)\:=\:(x - 4)(x + 2) }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: f(x) = {x}^{2} - 2x - 8[/tex]
[tex] \:f(x) = {x}^{2} - 4x + 2x - 8[/tex]
Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have
[tex] \:f(x) = x \: (x - 4) + 2 \: (x - 4)[/tex]
Taking the factor [tex](x-4)[/tex] as common,
[tex] \:f(x) = (x - 4)(x + 2)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Can anyone tell me what the volume of this is?
Answer:
[tex]301.44[/tex]
Step-by-step explanation:
Formula for volume of a cylinder:
[tex]V=\pi r^{2}h[/tex]
[tex]V=(\pi )(4)^{2} (6)[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]V=(3.14)(4)^{2} (6)[/tex]
[tex]V=301.44[/tex]
hope this helps....
Step-by-step explanation:
[tex](301.44ft^2 ) \: Answer ✓✓\\ \\ here \: is \: your \: solution : - \\ \\ we \: need \: to \: find \: volume \: of \: cylinder \: \\ \\ volume \: of \: cylinder \: = \pi \: r {}^{2} h \\ \\ \pi = 3.14 \\ \\ radius \: of \: cylinder \: = 4ft \\ \\ height \: of \: cylinder = 6ft \\ \\ volume \: of \: cylinder \: = 3.14 \times (4 {}^{2} ) \times 6 \\ \\ volume \: of \: cylinder = \: 301.44ft {}^{3} \: [/tex]
Need help *URGENT*
7th grade
Vertical Angles
Answer:
EBC = 90
FBG = 25
ABF = 115
ABG = 140
EBG = 50
Hope that helped :)
using approximations to 1 significant figure, estimate the value of 0.482 times 61.2 squared divided by 98.01.
Answer:
18.4
Step-by-step explanation:
0.482 * (61.2)^2 = 1805.30208
1805.30208 ÷ 98.01 = 18.4
The equation of a linear function in point-slope form is y-y1=m(x-x1). Harold correctly wrote the equation y=3(x-7) using a point and the slope. Which point did Harold use ?
Answer:
(7, 0).
Step-by-step explanation:
We have y = 3(x - 7)
y = 3x - 21
Point-slope form is
y - y1 = 3(x - x1)
y - y1 = 3x - 3x1
Comparing this to the equation y = 4x - 21 we see that y1 = 0 and x1 = 7.
Answer:
(7,0)
Step-by-step explanation:
correct on edge