Answer:
17cm ×7cm
Step-by-step explanation:
Assuming that the airplane ticket is a rectangle,
let the length and the breadth of the ticket be L cm and B cm respectively.
LB= 119 -----(1)
2(L +B)= 48
L +B= 48 ÷2
L +B= 24 -----(2)
From (2):
L= 24 -B -----(3)
Substitute (3) into (1):
B(24 -B)= 119
24B -B²= 119 (expand)
B² -24B +119= 0
(B -17)(B -7)= 0 (factorise)
B -17= 0 or B -7= 0
B= 17 or B= 7
Substitute the values of B into (3):
L= 24 -17 or L= 24 -7
L= 7 or L= 17
∴ The dimensions of the airplane ticket is 17cm ×7cm.
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
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
how do i answer questions
Answer:
You click on the ANSWER button and type in your answer and sometimes explanation (if necessary) and then click the blue paper airplane button on the right to post it. Hope this helps.
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.
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
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.
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
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
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]
I need help I don’t know the answers to these
Answer:
its 5 because of the formula
Step-by-step explanation:
Answer:
90
2
O
I can't see the last question clearly
Researchers would like to know the mean body temperature of runners at the completion of a marathon. They plan to take a random sample of 100 runners who complete a marathon and record their temperatures. Which of the following will the researchers know after they have taken the sample? Explain your answer in each part.a. The value of the mean of the sampling distribution of the sample mean.b. The approximate shape of the sampling distribution of the sample mean.c. The standard deviation of the sampling distribution of the sample mean.
Answer:
They would know a and b.
a. The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.
b. Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.
c. To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
a. The value of the mean of the sampling distribution of the sample mean.
The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.
b. The approximate shape of the sampling distribution of the sample mean.
Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.
c. The standard deviation of the sampling distribution of the sample mean.
To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.
The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $1 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of the dinner for two at a local Chinese restaurant. The dinner is valued at $35. Since the fortune cookies were donated to the club, we can ignore the cost of the cookies. The club sold 743 cookies before the drawing.
(a) Lisa bought 12 cookies. What is the probability she will win the dinner for two? (Round your answer to three decimal places.)
What is the probability she will not win? (Round your answer to three decimal places.)
(b) Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? (Round your answer to two decimal places.)$
How much did she effectively contribute to the hiking club? (Round your answer to two decimal places.)$
Answer:
a)
- the probability she will win the dinner for two is 0.016
- the probability she will not win the dinner for two is 0.984
b)
- Lisa's expected earnings is $0.57
- Money she effectively contributed to the hiking club is $11.43
Step-by-step explanation:
Given the data in the question;
fortune cookies; $1 per cookies
club sold 743
a) Lisa bought 12 cookies. What is the probability she will win the dinner for two?
P( she will win ) = Number of cookies bought / Total number of cookies
P( she will win ) = 12 / 743
P( she will win ) = 0.01615 ≈ 0.016
Therefore, the probability she will win the dinner for two is 0.016
P( she will not win ) = 1 - P( she will win )
P( she will not win ) = 1 - 0.016
P( she will not win ) = 0.984
Therefore, the probability she will not win the dinner for two is 0.984
b) Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? (Round your answer to two decimal places.)$
given that value of dinner = $35
P( she will win ) = 0.01615
so
Lisa's earning = $35 × 0.01615
Lisa's earning = $0.57
Therefore, Lisa's expected earnings is $0.57
- How much did she effectively contribute to the hiking club? (Round your answer to two decimal places.)$
Lisa's contribution = Money she paid for cookies - money from expected earnings
Lisa's contribution = ( 12 × $1 ) - $ 0.57
Lisa's contribution = $12 - $0.57
Lisa's contribution = $11.43
Therefore, Money she effectively contributed to the hiking club is $11.43
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
The absolute value function g(x) = |x + 2| + 1 is translated 4 units right and 5 units up to become g'(x). The quadratic function f(x) graphed below is moved 5 units right and 2 units down to become f'(x). Which of these two transformed functions has a range of y ≤ −6, and what is the vertex of this transformed function?
Graph of the quadratic function f of x that comes up from the left through negative four comma negative eight to the turning point at negative two comma negative four and goes down through zero comma negative eight and continues toward negative infinity
g'(x) has a range of y ≤ −6, and its vertex is at (−6, 6).
g'(x) has a range of y ≤ −6, and its vertex is at (2, 6).
f'(x) has a range of y ≤ −6, and its vertex is at (3, −6).
f'(x) has a range of y ≤ −6, and its vertex is at (−7, −6).
Answer:
g'(x) has a range of y ≤ −6, and its vertex is at (−6, 6)
Step-by-step explanation:
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 :-)(•‿•)
The perimeter of a rectangular dining room is 22 meters. The dining room is 3 meters wide. How long is it?
Answer:
8 meters
Step-by-step explanation:
perimeter of a rectangular figure = 2( length + width)
=> 22 = 2 ( length + 3)
dividing both sides by 2=> 11 = length + 3
subtracting 3 from both sides=> length = 8
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 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
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
PLEASE SOMEONE PLEASEEE HELP ASAP
Answer:
52/63
Step-by-step explanation:
Given the expression;
4/7 * 13/9
WE are to take the product
= (4/9)* (13/7)
= (4*13)/(7*9)
= 52/63
Hence the required fraction is 52/63
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]
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
Need help *URGENT*
7th grade
Vertical Angles
Answer:
EBC = 90
FBG = 25
ABF = 115
ABG = 140
EBG = 50
Hope that helped :)
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.
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]
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
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.
could someone help me out
Answer:
-
x -4. 1 6 11
y -3 -2 -1 0
-7 -7 +5 11
How many centimeters are equal to 5 meters? Enter your answer in the box.
Answer:
500
Step-by-step explanation: