Answer:
The dimension of the room is 8m by 3m
The length and width of the rectangle are 8 meters and 2 meters.
Given,
A rectangular room is 5 meters longer than it is wide.
Perimeter = 22 meters.
We need to find the dimension of the room.
What is the perimeter of a rectangle?A rectangle perimeter is given by :
P = 2 ( length + wide )
Find the length and width of the rectangle.
Let width = W
Let length = L
L = W + 5
Find the perimeter of the rectangle.
P = 2 ( L + W )
P = 22
22 = 2 ( W + 5 + W )
Divide both sides by 2.
11 = W + 5 + W
11 = 2W + 5
Subtract 5 on both sides.
11 - 5 = 2W + 5 - 5
6 = 2W
Divide both sides by 2.
3 = W
W = 3
We see that W = 2 and L = W + 5 = 3 + 5 = 8.
Thus the length and width of the rectangle are 8 meters and 2 meters.
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Of all the registered automobiles in a city, 8% fail the emissions test. Eleven automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Part 1 of 4 (a) Find the probability that exactly three of them fail the test. The probability that exactly three of them fail the test is . Part 2 of 4 (b) Find the probability that fewer than three of them fail the test. The probability that fewer than three of them fail the test is
Answer:
Step-by-step explanation:
Plz help me well mark brainliest if you are correct!
Which of the following sequences is an arithmetic sequence? Select all correct answers.
Select all that apply:
1,2,3,4,5,6,…
5,0,−5,−10,−5,0,…
−4,−6,−8,−10,−8,−6,…
3,0,−3,−6,−9,−12,…
6,5,4,3,2,1,…
Answer:
1st, 4th and 5th are in arithmetic sequence.
Answer:
a) 1,2,3,4,5,6............
d) 3,0, -3 ,-6,-9,-12.............
e) 6,5,4,3,2,1...........
are arithmetic sequence
Step-by-step explanation:
Arithmetic sequence is series of numbers that the difference of consecutive terms is constant
a) 1, 2 , 3 , 4 , 5 , 6...........
Common difference = 1
d) 3,0, -3 ,-6,-9,-12.............
Common difference = second term - first term
= 0 - 3 = -3
e) 6,5,4,3,2,1...........
Common difference = 5 - 6 = - 1
Help! I’ll give brainliest it’s on quadratic equations
Answer:
divide b by 2 and square it to get c:
-20/2 = -10
[tex](-10)^2 = 100[/tex]
second part: (x - 10)(x - 10) or [tex](x-10)^2[/tex]
Answer:
x (x-20)
Step by step
two friends bought a strip of tickets for the school carnival. Arlo used 5/6 of his tickets. jayson used 6/6 of his tickets.
::::::::::::::::::::
Answer:
total number of tickets bought: 12
total number of tickets used: 11
Jayson used 1 more ticket than Arlo
Step-by-step explanation:
Erm, I don't know what you want answered, but here's some basics:
So to find how many total tickets were bought, we just have to add both of the strips together:
6 + 6 = 12
So the total number of tickets bought was 12.
To find the amount of ticket used, you have to add the top numbers together:
5 + 6 = 11
So the total number of tickets used is 11.
If you wanted to find how many more tickets Jayson used than Arlo, you'd have to subtract Arlo's tickets from Jayson's:
6 - 5 = 1
So Jayson used 1 more ticket than Arlo.
Sorry I couldn't have been more of a help:/
An angle measures 59 degrees what is the measure of its supplement
Answer:
add up to 90 degree
Step-by-step explanation:
Which statements are true about the expression that y +92 Choose ALL that apply.
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
A, C, D, and F
Solve and check each equation below . show all work . 24=g+14. f-9=12
Answer:
g = 10
f = 21
Step-by-step explanation:
Given equations:
24 = g + 14
f - 9 = 12
24 = g + 14
Subtract 14 from both sides
24 - 14 = g + 14 - 14
10 = g
g = 10
Check:
24 = g + 14
24 = 10 + 14
24 = 24
f - 9 = 12
Add 9 to both sides
f - 9 + 9 = 12 + 9
f = 21
Check:
f - 9 = 12
21 - 9 = 12
A likely amount of vanilla in a batch of cookies is 1/2 fluid Ounces. True or False?
I need it fast if you can!
True
Sorry if I'm wrong! I honestly think its true, a fluid ounce is pretty big... 2 tablespoons, so if you half it its 1 tablespoon, which is enough for cookies
please help you'll get brainliest and points
Answer:
2's volume is 93 3/4 and 3's volume is 40
Step-by-step explanation:
Just use the formula to find volume, length x width x height. For 2, it would be 5x5x3 3/4 to give you a product of 93 3/4. For 3, it would be 3x2x6 2/3 which equals 40.
I hope this helps!
If f( a)= a^2-2a+1 what is the value of f(-4)
Answer:
Step-by-step explanation:
For this you just plug in a = -4 into the function:
f(-4) = (-4)^2-2(-4)+1 = 25
25 should be the answer.
Answer:
25
Step-by-step explanation:
f(-4) = (-4)² - 2(-4) + 1
= 16 + 8 + 1
= 25
if the game begins at 1 pm and charlie and his friends take 1.5 hours to get to the field what time should they leave
Answer:
11:30am
Step-by-step explanation:
Answer:
Charlie and his friends should leave by 11:30 am at the latest.
please help me out I'll give you a virtual high five
Answer:
[tex] \red{ \bold{\frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]
Step-by-step explanation:
[tex] \frac{2x}{4 {x}^{2} - 9 } + \frac{3}{2 {x}^{2} + x - 3} \\ \\ = \frac{2x}{(2 {x})^{2} - {(3)}^{2} } + \frac{3}{2 {x}^{2} - 2x + 3x - 3} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{2 {x}(x - 1) + 3(x - 1)} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{(x - 1) (2x + 3)} \\ \\ = \frac{2x(x - 1)}{(2x + 3)(2x - 3)(x - 1)} + \frac{3(2x - 3)}{(x - 1) (2x + 3)(2x - 3)} \\ \\ \purple{ \bold{ = \frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]
A theater has 36 seats in the first row, 39 seats in the second row, 42 seats in the third row, and so on. How many seats are in the 18th row?
There are
seats in row 18
Answer: you'll have 87 seats in the 18th row
Step-by-step explanation:
an = a1+(n-1)d
a18= 36+(18-1)3
a18= 36+51
a18= 87
The 18th row will have 87 seats.
What is arithmetic progression?
'An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.'
According to the given problem,
Number of seats in row 1 = 36
Number of seats in row 2 = 39
Number of seats in 3rd row = 42
Difference between the numbers ( d ) = 39 -36
= 3
We know, according to the formula of Arithmetic Progression,
[tex]a_{n} = a_{1} + (n-1)d[/tex]
We need to find for the 18th row,
[tex]a_{1}[/tex] = 36
d = 3
n = 18
⇒ [tex]a_{18}[/tex] = 36 + ( 18 - 1 )×3
⇒ [tex]a_{18}[/tex] = 36 + 51
⇒ [tex]a_{18}[/tex] = 87
Hence, we can conclude, there will be 87 seats in the 18th row.
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For the diagram below ,The Value of q , r is
Answer:
angle r= 45°
angle r+angle q=180°
45°+ angle q=180°[linear pair]
angle q=180°- 45°
angle q= 135°
Lilly was working on a report on Italian and Spanish scientists. She decided to find a 96 percent confidence interval for the difference in mean age at the time of significant scientific discoveries for Italian versus Spanish scientists. She found the ages at the time of science discovery of all the members of both groups and found the 96 percent confidence interval based on a t-distribution using a calculator. The procedure she used is not appropriate in this context because
The entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
The sample sizes for the two groups are not equal.
Age at the time of science discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.
Age at the time of science discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.
Age at the time of science discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid.
A t statistic was used to conduct a test of the null hypothesis H0: µ = 11 against the alternative Ha: µ ? 11, with a p-value equal to 0.042. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 11?
A. A 90% confidence level
B. A 92% confidence level
C. A 96% confidence level
D. A 97% confidence level
E. A 98% confidence level
Answer:
The answer is "Option A and Option B".
Step-by-step explanation:
In question 1:
In all cases, the entire population is measured so that the actual medium discrepancy could be measured as well as an interval of trust cannot be used.
This issue would be that she calculated the ages with all representatives of both classes, such that she measured a whole population. It's not necessary.
In question 2:
When the p-value is 0.042. At 90% trust and 92% trust level 11 (p-value below 0.10 and 0.08) are not included. however the biggest confidence level of 92%. Consequently, the largest trust level where the 11 is Not included in the trust interval is 92% trust.
01:16:12
What are the dimensions of the rectangle?
A rectangle has an area of 40 square units. The length
is 6 units greater than the width
O 8 by 5
10 by 4
11 by 9
13 by 7
Answer:
its b
Step-by-step explanation:
The requried dimensions of the rectangle are 10 by 4. Option B is correct.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
To solve the problem, we can use the formula for the area of a rectangle, which is:
area = length x width
We also know that the length is 6 units greater than the width, which we can express as:
length = width + 6
We can substitute this expression for length into the formula for area, giving us:
area = (width + 6) x width
area = width² + 6width
We are given that the area is 40 square units, so we can set up the equation:
40 = width² + 6width
We can rearrange this equation into the standard quadratic form:
width² + 6width - 40 = 0
We can then use the quadratic formula to solve for the width:
width = (-b ± √(b² - 4ac)) / 2a
Plugging in the values of a, b, and c from the quadratic equation above, we get:
width = (-6 ± √(6² - 4(1)(-40))) / 2(1)
width = (-6 ± √(196)) / 2
width = (-6 ± 14) / 2
So we have two possible values for the width:
width = (-6 + 14) / 2 = 4
or
width = (-6 - 14) / 2 = -10
Since the width cannot be negative, we can reject the second solution. Therefore, the width of the rectangle is 5 units.
We can use the expression for the length in terms of the width to find the length:
length = width + 6 = 4 + 6 = 10
Therefore, the dimensions of the rectangle are 10 by 4.
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which line has a slope of -1/2?
A.) line d
B.) line c
C.) line b
D.) line a
Answer:
C) line d
Step-by-step explanation:
Line D’s slope is -1/2, so C is the correct answer.
A figure is translated and then rotated about the origin. Which of the following is
true of the resulting figure and the original figure?
A) The figures are similar.
OB) The figures have different sizes.
OC) The figures are congruent.
D) The figures are neither congruent nor similar.
Answer:
C) The figures are congruent.
Step-by-step explanation:
Given
Translation and rotation on a figure
Required
Select the true option
Rotation and translation are rigid transformation and as such they do not change the size of the figure being transformed.
The implies that, the figure being transformed and the resulting figure will have the same dimension and the same angle measure.
(c) is correct
Answer:
c
Step-by-step explanation:
..................................... help pls
Answer:
A
Step-by-step explanation:
A is the height since it shows the dotted line from top to bottom and B and C are slanted.
Answer:
Option AIs correspond line
This scale shows weight in pounds. How much do the apples weigh?
A. 3/4 lb.
B. 3 lb.
C. 3 1/4 lb.
D. 4 lb.
Answer:
where is the scale
Step-by-step explanation:
where is the scale
Answer:
What does the scale look like?
on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye
Answer:
43/30
Step-by-step explanation:
Answer:
1 13/30
Step-by-step explanation:
6 & 5 have a Lcm of 30, so lets use that for our denominator so we can add.
5/6 + 3/5 = 25/30 + 18/30
=
43/30 which is equal to 1 13/30.
PLZ HURRY
The two triangles below are similar. What is the ratio of the corresponding sde lengths? A. 4:9 B. 4:2 C. 26:26 D. 4.5:2
Answer:
Step-by-step explanation:
It is 4:9 and 4.5:2
John is moving from Portland to Sacramento, which is 600 miles away. He is traveling at an average speed of 55 miles per hour. Jon stops for gas after a couple of hours and wonders how much further he needs to go. If y represents distance from Sacramento and x represents time, which linear equation would indicate the amount of miles Jon still has to travel to Sacramento?
Answer:
Y=-55x + 600
Step-by-step explanation:
A professor compares the number of students at his school majoring in statistics, engineering, both, or neither.
How many items are in the sample space for a student at his school?
A. 1
B. 2
C. 3
D. 4
Answer:
Step-by-step explanation:
3
A computer technician notes that 40% of computers fail because of the hard drive. If he repairs many computers a day, what is the probability that the first computer that has failed due to the hard drive is his 4th computer of the day?
Answer:
(B) 0.0864
Step-by-step explanation:
Correct on Edge
Use slopes and y-intercepts to determine if the lines −4x+4y=−1 and 4x+4y=−1 are parallel.
Answer:
Nope they are not parallel.
Step-by-step explanation:
first find the slope of each equation.
-4x+4y= -1
4y= 4x -1
y= (4x-1)/4
y=x - 1/4
the other equation
4x +4y = -1
4y= -4x -1
y= (-4x-1)/4
y= -x -1/4
the slope is the number in front of the x so for the first equation, it is 1 and the second equation it is -1. Since they are not the same, they are not parallel but instead is perpendicular. TBH, just stop here as this is more than enough.
Which of the following graphs is the graph of a linear function?
Answer:
C
Step-by-step explanation:
A and B are not straight lines, so they are not linear functions.
C and D are straight lines, so they are linear. However, D fails the vertical line test, so it is not a function.
C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
A and B are not straight lines, they are not linear functions. Therefore,
C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.
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What is the volume of the solid generated when the region in the first quadrant bounded by the graph of y=x^3, the x-axis, and the vertical line x=2 is revolved about the x-axis?
Show work.
A
[tex]4[/tex]
B
[tex] \frac{128}{7} [/tex]
C
[tex]4\pi[/tex]
D
[tex] \frac{128\pi}{7} [/tex]
Answer:
The first thing we need to do is to find the area bounded by:
y = x^3
y = 0
between:
x = 0 and x = 2
This is the integral of the given function between x = 0 and x = 2, written as:
[tex]\int\limits^2_0 {x^3} \, dx = \frac{2^4}{4} - \frac{0^4}{4} = 2^2 = 4[/tex]
This means that the area of the bounded region is 4 square units.
Now, if we do a full rotation around the x-axis, the volume generated will be equal to the area that we obtained times 2*pi units.
The volume is:
V = (4 square units)*(2*pi units) = 8*pi cubic units.
(Notice that no option coincides with this, there may be a mistake in the options)
A card is randomly selected from a deck of playing cards. Find the probability that it is a face card, given that a black card is drawn.
A. 3/13
B. 6/26
C. 26/52
D. 1/2
Answer 3/13
Step-by-step explanation:
There are 12 face cards, and 6 are black. Thus, the probability of choosing one would be 6/26, or 3/13