Answer:
w² + 4w - 525 = 0
Width of rectangle = 21 feet
Length of rectangle = 25 feet
Step-by-step explanation:
Given:
Area of rectangular floor = 525 ft²
Find:
Equation
Dimensions of the floor
Computation:
Assume;
Width of rectangle = w feet
So,
Length of rectangle = w + 4 feet
Area of rectangular floor = length x width
Area of rectangular floor = w(w + 4)
525 = w² + 4w
w² + 4w - 525 = 0
w² + (25 - 21)w - 525 = 0
w² + 25w - 21w - 525 = 0
w(w + 25) -21(w + 25)
(w + 25)(w - 21)
So,
w = -25 , w = 21
So,
Width of rectangle = 21 feet
Length of rectangle = w + 4 feet
Length of rectangle = 21 + 4 feet
Length of rectangle = 25 feet
Whats the answers to this question?
Answer:
1) e = 6
2) w = 10
3) s = 27
4) t = 4
Step-by-step explanation:
Cross multiplication
Please Help Me Fast.
FAST FAST FAST
Answer:
Easy it's 40
Step-by-step explanation:
I think it's 40 because the other numbers are all with in the range of 10-20 except 40.
Answer:
Answer is 40! :)
Will give brainliest
Find the area of this circle. Use 3 for .
A = ar2
10 cm
[?] cm2
Answer:
300
Step-by-step explanation:
3x10x10=300
Answer:
300 cm^2
Step-by-step explanation:
A= (3)(10^2)
A= 3(100)
A= 300
Can I get answer please
Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and plans to collect data on the length of shots played by golfers who use the magnetic bracelets. Another golfer points out that many golfers who purchase the bracelets also purchase other expensive golf equipment, such as golf clubs, and this could be a confounding variable.
Which statement best describes the effect of the confounding variable?
A. Because golfers purchase expensive golf clubs, they may stop wearing their magnetic bracelets, which would interfere with the outcome of the study.
B. Because golfers can be randomly assigned to receive either magnetic bracelets or expensive golf clubs, the expensive golf clubs are a confounding variable.
C. Because golfers using the magnetic bracelets believe they are hitting longer shots, the study may show their shots are not as long as they believe.
D. Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots.
Answer:
d
Step-by-step explanation:
just made a 100
The statement "Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots." best describes the confounding variable.
What is a confounding variable?A confounding variable is a third variable used to examine research based on a cause and effect relationship.
Golfers who are likely to use the magnetic bracelets also buy and use other expensive golf equipment. This means that it would be difficult to determine whether the bracelet is having any effect on the performance of the golfers. The effect of the expensive equipment will hinder the results of the study.Therefore, we have determined that statement D "Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots." best describes the effect of the confounding variable.
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Help!
This is the problem
1+10k+1-7k
Answer:
3002
Step-by-step explanation:
Very simple, just add them up.
Given the data set, calculate the range and the mode:
{9, 3, 1, 8, 3, 6}
Anna charges $8.50 per hour to babysit . How much will earn if she works for 31/2 hours?
Answer:
$29.75
Step-by-step explanation:
$8.50 for 1 hour
So for 3 hours, it will be 8.50 + 8.50 + 8.50 equaling to 25.50
So far the total is $25.50 for 3 hours ONLY!
Now, for half of an hour it will be half of a price, making 8.50 into 4.25
Finally, add $25.50 + $4.25 giving you the totality of $29.75 as the final pay after working for 3 1/2 hours
Solve for a.
2
9
х
36
Answer:
a=29×36
Step-by-step explanation:
just do 29×36 to get your answer
Logan purchased 20 stamps at the post office for $8.40. What is the cost of one stamp?
Answer:
.42
Step-by-step explanation:
Step-by-step explanation:
Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.
Rectangular prism l 2/3, h 3/5 w 4/7 what is volume?
Answer:
Step-by-step explanation:
volume= width X height X length
volume= 4/7 X 3/5 X 2/3
volume= 0.23
During trimester 2 the math team gave 4 product assignments. The 4 scores were a 50, 90, 62, and 63.
What was the median score of the product assignments?
What was the average score of the product assignments?
Answer:
median = 62.5, average = 66.25
Step-by-step explanation:
50, 90 , 62 and 63
median = 50 , 62, 63, 90
62 + 63 / 2
125/2
median = 62.5
average = 50 + 90 + 62 + 63 /4
=265/4
average = 66.25
A survey of 500 randomly selected people who commute to Manhattan for work showed that
187 of them used public transportation. An estimated 108,000 people commute to Manhattan
every workday.
1. How many commuters use public transportation?
Answer:
187
Step-by-step explanation:
PLEASEEEEEE HELPPPPPPPPPP MEEEEEEEEEEEEEEEE
Answer:
120.2 or in other words, the answer is the last option, D
if you have 3 cookies and your mom makes 2 dozen more and your friend tacks 15 home how many cookies do you have?
Answer:
12+12+3=27-15=12
Step-by-step explanation:
Dozen means 12. Your welcome Brainliest?
REFRESH THE PAGE lol were both here
Answer:
refresh page
Step-by-step explanation:
thing is probably being slow
Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven?
please help
Answer: $71.20
Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!
How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3?
Answer: Infinite many solutions
Step-by-step explanation:
Given
5x+3(x-1)=10x-2x-3
Expand Parenthesis
5x+3x-3=10x-2x-3
Combine like terms
8x-3=8x-3
Subtract 8x on both sides
8x-3-8x=8x-3-8x
-3=-3
Add 3 on both sides
-3+3=-3+3
0=0
Any number will work on both sides, therefore, there are infinite solutions
Hope this helps!!: )
Please let me know if you have any questions.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
I think it is the first one because its a perfect mirror to the other when rotated 90%.pls tell me if I am wrong :(
Step-by-step explanation:
Question 4 Incorrect answer. Incorrect. Try again. Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x Overscript bar EndScripts Subscript 1 Baseline equals 289.30 and and another random sample of 16 gears from the second supplier results in x Overscript bar EndScripts Subscript 2 Baseline equals 321.50 and Is there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers
Answer:
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
Step-by-step explanation:
The given data is
Sample1 mean = x1` = 289.3
Sample 1 size = n1= 10
Sample 1 std. dev= s1= 22.5
Sample2 mean = x2` = 321.5
Sample 2 size = n2= 16
Sample 2 std. dev= s2= 21
1)Formulate the null and alternate hypothesis as
H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂
2)The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
where degrees of freedom = d.f=
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
3) the significance level chosen is ∝= 0.05
4) Calculating the d.f
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]
= 18
5) the critical region for ∝= 0.05 for 18 d.f = ±2.101 for two sided test
6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 289.3- 321.5/√21²/10 + 22.5²/16
t= -32.2/√44.1+31.64
t= -32.2/8.0729
t= -3.9886
7) Conclusion
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
The moon has a radius of 1738 km. Find the surface area to the nearest tenth. Use 3.14 for pie
Answer:
surface area = 4πr² = 4(3.14)(1738²) = ? (something like 37, 939,290 km²)
My calculator will not go that high
Step-by-step explanation:
surface area = 4πr² = 4(3.14)(1738²) =
The wedge is one-eighth of the wheel of cheese. A cylindrical-shaped wheel of cheese has a radius of 3 inches and height of 1 inch. A wedge of cheese is sliced from the whole. a. Find the surface area of the cheese before it is cut, round to the nearest hundredth. The surface area of the cheese before it is cut is in. $^2$ . b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth. The surface area of the remaining cheese after the wedge is removed is about square inches. Question 2 Did the surface area increase, decrease, or remain the same
Answer:
1. a. 75.39 in² b. 65.97 in²
2. Decreased
Step-by-step explanation:
1.
a. Find the surface area of the cheese before it is cut, round to the nearest hundredth.
Since the cheese is a cylinder with radius, r = 3 inches and height, h = 1 inch, its tital surface area, A = 2πr(r + h)
Substituting the values of the variables into the equation, we have
A = 2πr(r + h)
A = 2π(3 in)(3 in + 1 in)
A = (6π in)(4 in)
A = 24π in²
A = 75.39 in²
b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth.
Since the area of the wedge, A' is one-eight the area of the cheese, A
A'= A/8
= 75.39 in²/8
= 9.42 in²
The area of the remaining cheese is thus, area of cheese - area of wedge = A - A' = 75.39 in² - 9.42 in² = 65.97 in²
Question 2 - Did the surface area increase, decrease, or remain the same
Since the area of the remaining cheese, A' = 65.97 in² < A = 75.39 in², area of original cheese, the surface area decreased.
Estelle swims for the Shorewood Sharks swim team, Last season, she kept track of how far
she swam at each practice.
Distance swam (m)
+
1,000
1,400
1,800
2,200
2,600
3,000
What was the shortest distance Estelle swam at practice?
meters
Answer:1,400
Step-by-step explanation:
The shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have box plot data:
1,000 1,400 1,800 2,200 2,600 3,000
From the box plot:
The shortest distance Estelle swam at practice is given by:
= 1800—(1400+1800)/2
= 1800 – 1600
= 200 meter
Thus, the shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team
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add;200g+0.04kg=-----------dag
It's 200.04 dag
blah blah
Answer:
0.240kg
Step-by-step explanation:
the reason for this is because my teacher taught me this:
KHDMDCM
L
G
so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg
how is finding 8x3/4 similar to finding 3/4 of 8
Answer: your answer would be 6
8*3=24/4 and 24/4=6
Step-by-step explanation: Hope this help :D
Answer:
Because in order to find 3/4 of 8, you must solve for 8 * 3/4.
A helpful tip is that "of" is one of the giveaways of a multiplication problem. Others include but are not limited to, "multiply, " "product," "by," "times," "area," "twice," "double," "thrice," "triple," and "quadruple."
I would appreciate Brainliest, but no worries.
Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 49 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased
Answer:
0.0143 = 1.43% probability that the amount dispensed per box will have to be increased
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
Mean for 1 hour is 1 pound and the standard deviation is 0.2 pound
This means that [tex]\mu = 1, \sigma = 0.2[/tex]
Sample of 49:
This means that [tex]n = 49, s = \frac{0.2}{\sqrt{49}} = 0.0286[/tex]
What is the probability that the amount dispensed per box will have to be increased?
This is the probability of the sample mean being less than 15 pounds = 15/16 = 0.9375 ounces, which is the pvalue of Z when X = 0.9375.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.9375 - 1}{0.0286}[/tex]
[tex]Z = -2.19[/tex]
[tex]Z = -2.19[/tex] has a pvalue of 0.0143
0.0143 = 1.43% probability that the amount dispensed per box will have to be increased
the volume of a solid triangular prism is 726 cubic centimeters. its height is 12 centimeters and its bases are congruent right isosceles triangles. find the lengths of the equal sides of each base.
9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
Filling in the given information, we find the area of the triangular base to be ...
726 cm³ = B(12 cm)
B = 726 cm³/(12 cm) = 60.5 cm²
The area of an isosceles right triangle is half the area of a square with the same side lengths:
B = 1/2s²
60.5 = 1/2s²
s = √(2(60.5)) = √121 = 11
The length of each of the equal sides of the base is 11 cm.
If one side of a regular decagon is 4 cm, how long is each of the other sides?
Answer:
4cm
Step-by-step explanation:
A decagon has 10 sides that are probably equal. one of the sides is 4cm.The remaining 9sides = 9×4 = 36cmeach sides are 4cm.Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
A regular decagon is a polygon with ten sides of equal length and ten angles of equal measure.
To find the length of each of the other sides, we can use the fact that a regular decagon can be divided into ten congruent isosceles triangles.
The isosceles triangle can be split into two right triangles by drawing an altitude from the vertex opposite the base to the midpoint of the base.
Let's call the length of one of the equal sides of the isosceles triangle "s", and let's call the length of the altitude "h".
Then we can use the Pythagorean theorem to find the length of the other side:
s² = h² + (s/2)²
We can solve for "h" in terms of "s" as follows:
h² = s² - (s/2)²
h² = (4s²)/4 - s²/4
h² = (15s²)/16
h = (s√15)/4
Since the altitude divides the isosceles triangle into two congruent right triangles, each with a hypotenuse of "s",
We can use the Pythagorean theorem again to find the length of each of the other sides of the regular decagon:
s² = h² + (s/2)²
s² = [(s√15)/4]² + (s/2)²
s² = (15s²)/16 + (s²)/4
s² = (15s² + 4s²)/16
s^2 = (19s²)/16
s = √(19/16) s
s = (√19/4) cm
Therefore,
Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.
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Mitchell went apple picking with the students in his art club. The line plot below shows the number of apples each student collected. Each X represents one student. Which statement about the data is true?
A
Most of the students collected 12 apples.
B
The median number of apples collected was 11.
C
The mean number of apples collected was 11.33.
D
The interquartile range of the number of apples collected was 2.5.
Answer:
A. Most of the students collected 12 apples.
Step-by-step explanation:
The line plotted on the graph is demonstrating the 12 apples picked from the club. The students are on the y-axis since they are independent and apples are placed on the x axis. The line is intersecting the points on x-axis. There is average collection of 12 apples by each student.
Chloe flips a fair coin 2 times. What is the probability that she will flip tails both times?
Answer:
25%
Step-by-step explanation:
If you flip a coin twice, sometimes you get tails twice in a row. That is because each time you flip the coin, the odds remain 1/2; the two flips are independent of each other. The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row
PLEASE HELP ME!!!! PLEASE HELP QUICK ILL GIVE U 73 POINTS PLS HELP
Answer:
3
Step-by-step explanation:
In this problem we need to kind of write the picture into an equation so the first thing we see are 4 xs on the far left-hand side this is representing "4x" then we see 5 - blocks on the right which represents "-5" because we have 5 minuses then on the other side we see 7 + blocks which represent just "7". After we identify everything in the picture we can write an equation so 4x -5 = 7. Then we solve so we need to separate x on one side and all the other numbers to the other to do that we can move the -5 to the side the 7 is on and because of math when we move a number to another side of the equation we have to switch the sign it has so if it was -5 then on the other side it would be 5 then we add 7 to 5 which would equal 12. Then we are left with 4x = 12 and to keep x on its own side we need to divide 4 from the other side because it is multiplying on the x side and again we need to switch the sign. then we are left with x=3. Hope this helps!