Question 2
28 inches
3.5 feet
Write the following ratio in lowest terms.
Hint: 1 foot = 12 inches
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It looks like 28inches
—————-
3.5 feet
please help me! i’ll mark you as brainlist !
Answer:
6. No, they are not similar. The differences in the side angles are not the same for RS and MP. That relationship equals 1.3, but the other side lengths' relationships are equal to 1.25. Thus, due to the fact that the side lengths are not all equal to the same value, the triangles are not similar.
7. No, they are not similar. The angles are not the same for the two triangles. I know this due to how 48+77 is equal to 125. 180-125 is not equal to 66. Similarly, 48+66 is equal to 114, and 180-114 is not equal to 77.
Step-by-step explanation:
You are shopping for earrings. The sale tax is 5%. You have a total of $18.37 to spend. What is your price limit for the earrings?
(Please help me I'm failing:)
Answer:
$17.50
Step-by-step explanation:
$18.37=x+5%
18.37=1.05x
18.37/1.05=x
x=$17.50
What is the mean absolute deviation for 299, 281, 285, 269, 280, 269, 286, 287?
Answer:
the answer is 7
Step-by-step explanation:
The mean absolute deviation of the scores 299, 281, 285, 269, 280, 269, 286, 287 is, 7.5
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Now, We know that;
The mean absolute deviation (MAD) is a measure of the dispersion of a set of data. It is calculated as the average absolute difference between each data point and the mean of the set.
Hence, To find the MAD for the given scores, first find the mean of the scores:
= (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287) / 8
= 280.5
Then, find the absolute difference between each score and the mean, and take the average of these differences:
= (|299 - 280.5| + |281 - 280.5| + |285 - 280.5| + |269 - 280.5| + |280 - 280.5| + |269 - 280.5| + |286 - 280.5| + |287 - 280.5|) / 8
= (18.5 + 0.5 + 4.5 + 11.5 + 0.5 + 11.5 + 5.5 + 6.5) / 8
= 7.5
So, the mean absolute deviation of the scores is 7.5.
To learn more about the mean absolute deviation, visit:
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The International Space Station orbits 350 km above Earth’s surface. Earth’s radius is about 6314 km. Use the Pythagorean Theorem to find the distance from the space station to Earth’s horizon. Round your answer to the nearest kilometer. (Diagram is not to scale.)
Answer:
2131 km
Step-by-step explanation:
The Pythagorean theroeom states that a^2+b^2=c^2. We know that Earth's radius is 6314, so we know one of the shorter sides, (a). side c, the hypotenuse, is 6314 km plus 350 km. Plug it into the equation and then solve for b.
6314^2+b^2=6664^2
b^2=4542327
sqaure root each side and you have your answer!
Please answer it thanks iwill give you a brainlist ❤️
Answer:
See Explanation
Step-by-step explanation:
We will make use of the following rules in solving these questions:
Inverse Variation: [tex]a\ \alpha\ \frac{1}{b}[/tex] ==> [tex]a = k/b[/tex]
Direct Variation: [tex]a\ \alpha\ b[/tex] => [tex]a = kb[/tex]
Direct, then inverse variation: [tex]a\ \alpha\ b\ \alpha\ \frac{1}{c}[/tex] ==> [tex]a= kb/c[/tex]
Joint Variation: [tex]a\ \alpha\ bc[/tex] ==> [tex]a= kbc[/tex]
The solution goes thus:
1. m varies directly to a
[tex]m\ \alpha\ a[/tex]
[tex]m =ka[/tex]
2. p varies inversely as q.
[tex]p\ \alpha\ \frac{1}{q}[/tex]
[tex]p\ = k\frac{1}{q}[/tex]
3. [tex]r\ varies[/tex] directly as s and inversely as t.
[tex]r\ \alpha\ s\ \alpha\ \frac{1}{t}[/tex]
[tex]r = k\frac{s}{t}[/tex]
4. z varies jointly as [tex]e\ and\ f.[/tex]
[tex]z\ \alpha \ ef[/tex]
[tex]z = kef[/tex]
5. F varies directly as the [tex]square\ of\ t.[/tex]
[tex]F\ \alpha\ t^2[/tex]
[tex]F = kt^2[/tex]
6. d varies jointly r and t
[tex]d\ \alpha\ rt[/tex]
[tex]d = krt[/tex]
7. P is inversely proportional to h.
[tex]P\ \alpha\ \frac{1}{h}[/tex]
[tex]P= \frac{k}{h}[/tex]
8. P varies directly as V
[tex]P\ \alpha\ V[/tex]
[tex]P=kV[/tex]
9. d varies directly as the square of t
[tex]d\ \alpha\ t^2[/tex]
[tex]d = kt^2[/tex]
10. s varies jointly as b and d and inversely as the square L
[tex]s\ \alpha\ bd\ \alpha\ \frac{1}{L^2}[/tex]
[tex]s = k\frac{bd}{L^2}[/tex]
solve x= √x+7 +5
check for extraneous solutions
(pls show work)
Answer:
x = 9
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex]x=\sqrt{x+7} +5[/tex]
Step 1: Flip the equation.
[tex]\sqrt{x+7} +5=x[/tex]
Step 2: Add -5 to both sides.
[tex]\sqrt{x+7} +5-5=x-5[/tex]
Step 3: Solve Square Root.
[tex]\sqrt{x+7} =x-5[/tex]
[tex]{x+7} =(x-5)^2[/tex] (Square both sides)
[tex]x+7=x^2-10x+25[/tex]
[tex]-x^2+11x-18=0[/tex]
[tex](-x+2)(x-9)=0[/tex] (Factor left side of equation)
[tex]-x+2=0[/tex] or [tex]x-9=0[/tex] (Set factors equal to 0)
x = 2 or x = 9
x = 2 (Doesn't work on the original equation)
x = 9 (Works in the original equation)
Answer:
x = 9
A water tank in the shape of a cylinder contains 54,000 gallons of water. 60% filled If the tank is only 60% filled, how many gallons of water can the tank hold? Enter the correct answer in the box.
Answer:
90000 gallons
Step-by-step explanation:
Given
[tex]Capacity\ at\ 60\% = 540000[/tex]
Required
Determine the full capacity
Let the maximum number of gallons be m.
So, we have:
[tex]60\% * m = 54000[/tex]
Convert % to decimal
[tex]0.60 * m = 54000[/tex]
Divide both sides by 0.60
[tex]m = \frac{54000}{0.60}[/tex]
[tex]m = 90000[/tex]
Hence, the maximum number of gallons it can hold is 90000 gallons
Answer:
Step-by-step explanation: capacity is 60% = 54000
Determine what is missing = 90000
5 ^ 3 + 1/2 ^ 2.
I need help.
Answer:
125.25
Step-by-step explanation:
5 cube =125
1/2=0.5
0.5 squared =0.25
125+0.25=125.25
2. Tristan wants to go bowling. He wants to spend no more than $25. It costs $3.00 to rent shoes and $4.50 for each game. What is the greatest amount of games he can bowl? Write an inequality using the variable g for games and solve.
Answer:
[tex]3 + 4.50g \leq 25[/tex]
[tex]g\leq 4[/tex]
Step-by-step explanation:
25 - 3 is 22. 22 divided by 4.50 is a decimal. But it rounds down to 4. So the most amount of games Tristan can play is 4.
Hope it helps!
You are playing a game called Tsunami Duck Pond. In Tsunami Duck Pond there are 100 ducks that get pummeled by tidal waves. You have to reach your hand into the tsunami and select a duck. If there is a star on the bottom of the duck, you win. The game claims to have 20 ducks with stars among the 100 ducks. After each round you must place the duck back in the tumultuous water. Let W=the number of times you win if you play this game 10 times.
a. Explain why Wis a binomial random variable.
b. Find the probability that you win exactly 3 times.
Answer:
a) W is a binomial random variable because in each trial there are only two possible outcomes, and the probability of a success is always the same.
b) 0.2013 = 20.13% probability that you win exactly 3 times.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a. Explain why W is a binomial random variable.
For each time a duck is selected, there are only two possible outcomes. Either it has a star, or it does not. Also, after a duck is selected, it is placed back in the water which means that in each trial, the probability of finding a duck with star is the same. This is why W is a binomial random variable.
b. Find the probability that you win exactly 3 times.
Let W=the number of times you win if you play this game 10 times.
This means that [tex]n = 10[/tex]
The game claims to have 20 ducks with stars among the 100 ducks.
This means that [tex]p = \frac{20}{100} = 0.2[/tex]
We have to find P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013[/tex]
0.2013 = 20.13% probability that you win exactly 3 times.
W is a binomial random variable because in each trial there are only two possible outcomes, and the probability of a success is always the same.
There is 20.13% probability that you win exactly 3 times.
Given that,
In Tsunami Duck Pond there are 100 ducks that get pummeled by tidal waves.
The game claims to have 20 ducks with stars among the 100 ducks.
Let, W = the number of times you win if you play this game 10 times.
We have to determine,
Explain why W is a binomial random variable.
Find the probability that you win exactly 3 times.
According to the question,
A duck is selected, there are only two possible outcomes. Either it has a star, or it does not. Also, after a duck is selected, it is placed back in the water which means that in each trial, the probability of finding a duck with star is the same. This is why W is a binomial random variable.To find the probability that you win exactly 3 times.Let, W=the number of times you win if you play this game 10 times.
Therefore,
The game claims to have 20 ducks with stars among the 100 ducks.
Then, The probability that you win exactly 3 times is,
[tex]P(X =x) = \ ^nC_x \times P^{x} \times (1-p)^{n-x}[/tex]
When, x = 3 and n = 10
Therefore,
[tex]P(X =3) = \ ^{10}C_3 \times (0.2)^{3} \times (1-0.2)^{10-3}\\\\P(X =3) = \ ^{10}C_3 \times (0.2)^{3} \times (0.8)^{7}\\\\\\P(X =3) = \dfrac{10!}{7!. 3!} \times 0.008 \times 0.20\\\\P(X=3) = 0.2013 = 20.13 \ percent[/tex]
There is 20.13% probability that you win exactly 3 times.
To know more about Probability click the link given below.
https://brainly.com/question/23270039
Factor completely 2x^2 + 9x + 7.
A) (2x + 7)(x + 1)
B) (2x + 1)(x + 7)
C) (2x + 9)(x + 2)
D) (2x + 7)(2x + 1)
Answer:
Step-by-step explanation:
(2x + 7)(x + 1)
answer is A
Consider the following sample data: 12, 13, 7, 5, 15, 18. Which one of the following represents the value of the standard deviation?
Answer:
Standard deviation= 4.46
B) 4.89 is the nearest answer
Step-by-step explanation:
Standard deviation √variance
Variance= (summation (x-mean)²)/n
Mean= summation of numbers/total
Mean =( 12+13+ 7+5+15 18)/6
Mean= 70/6
Mean= 11.67
Variance=(( 12-11.67)²+(13-11.67)²+ (7-11.67)²+(5-11.67)²+(15-11.67)²+ (18-11.67)²)/6
Variance= (0.1089+1.7689+21.8089+44.4889+11.0889+40.0689)/6
Variance= 119.3334/6
Variance= 19.8889
Standard deviation= √variance
Standard deviation= √19.8889
Standard deviation= 4.46
The Fabric storage box below is shaped like a rectangular prism how much fabric is needed to cover the exterior of the box
Answer:
2952 square centimeters are needed to cover the exterior of the box.
Step-by-step explanation:
We need to cover five external faces of the box. The surface area formula ([tex]A_{s}[/tex]), measured in square centimeters, is derived from surface area formula for parallelpiped:
[tex]A_{s} = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h[/tex] (1)
Where:
[tex]w[/tex] - Width, measured in centimeters.
[tex]l[/tex] - Length, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
If we know that [tex]w = 36\,cm[/tex], [tex]l = 23\,cm[/tex] and [tex]h = 18\,cm[/tex], then the outer surface area of the storage is:
[tex]A_{s} = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)[/tex]
[tex]A_{s} = 2952\,cm^{2}[/tex]
2952 square centimeters are needed to cover the exterior of the box.
James drinks 2.4 litres of water in a day. Stephen drinks 1/3 more. How much water does Stephen drink? What is this in millilitres and litres?
2.4 x 1/3 = 0.8 liters more.
2.4 + 0.8 = 3.2 liters
Stephen drinks 3.2 liters which is 3,200 milliliters
(3x^2 + 8x - 4 ) -(-x^2 +5x +2) simplify
Answer:
4x^2+3x-6
Step-by-step explanation:
Answer:
4x^2+3x-2
Step-by-step explanation:
I hope this helps
If a card is randomly selected, what is the probability of drawing spade or club?
Yvonne Simmons is a technical writer at ZAP Electronics with an annual salary of
$72,500. The board of directors at ZAP voted to give all employees a
cost-of-living adjustment of 1.5% and Simmons a merit increase of 4%. What will
Simmons's salary be for the upcoming year?
Answer:
$76,487.50
Step-by-step explanation:
I need help please I’m struggling
Answer:
19%
Step-by-step explanation:
A rectangular prism has the dimensions shown below.
3 cm
3 cm
12 cm
What is the volume of the rectangular prism?
Answer:
108 cubic cm
Step-by-step explanation:
Multiply 3, 3, and 12. Just multiply the dimensions of the cubes.
What is this fraction shown above?
Answer:
The Fraction show above is 2/8
Step-by-step explanation:
#Hope it helps
Given:
x 25.
2
Choose the solution set.
{X Ix>
10
- }
7
O[xlx>
35
}
2
{x1x<
10
}
{X1x<
35
:]
2.
What multiply by 90 gives you 1.8
Answer:
0.02
Step-by-step explanation:
90 multiplied by 0.02 is 1.8
Brittany is giving her sister 2/5 of her shell collection . How many 1/15s of her shell collection is she giving her sister?
Answer:
Brittany is sharing number of [tex]\frac{1}{15}[/tex]s with her sister = 6
Step-by-step explanation:
Let the shell collection of Brittany = x
She is giving [tex]\frac{2}{5}[/tex] of her shell collection to her sister.
Therefore, shells received by her sister = [tex]\frac{2x}{5}[/tex]
[tex]\frac{1}{15}[/tex]th of her shell collection = [tex]\frac{x}{15}[/tex]
Number of [tex]\frac{1}{15}[/tex]s her sister received = [tex]\frac{\text{Total shells received by Brittany's sister}}{\frac{1}{15}th \text{part of Brittany's shells}}[/tex]
= [tex]\frac{\frac{2x}{5}}{\frac{x}{15} }[/tex]
= [tex]\frac{2x}{5}\times \frac{15}{x}[/tex]
= 6
Therefore, number of [tex]\frac{1}{15}[/tex] received by her sister = 6
simplify each radical
[tex] \sqrt{75x^{6} } [/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{75x^6}\\ \\ \sqrt{3(5^2)x^{3^2}}\\ \\ 5x^3\sqrt{3}[/tex]
Solomon is 3D printing chess pieces. The table gives the amount of time needed to print certain numbers of
pieces.
Pieces
Print time (minutes)
16
32
128
512
What does 16 mean in this situation?
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Solomon is 3D printing chess pieces. The table gives the amount of time needed to print certain numbers of
pieces.
Pieces
Print time (minutes)
16
32
128
512
What does 16 mean in this situation?
2
See answers
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Answer:
Holly molly
Can i plz have brainliest
Step-by-step explanation:
Answer:
DANDG MAN??????????? DANG*
Step-by-step explanation:
Two publishers have offered Melanie Thompson a deal on her new
book Sugar-Free Culinary Classics. The first has offered to pay
her $82,000 up front and a $5.50 royalty for every book it
sells. The second has offered to pay $68,000 up front and a
$6.75 royalty for every book it sells. Over what range of book
sales will Melanie make more from the second publisher than she
will from the first?
Answer:
Step-by-step explanation:
68000+6.75b>82000+5.5b. subtract 5.5b from both sides
68000+1.25b>82000. subtract 68000 from both sides
1.25b>14000. divide both sides by 1.25
b>11200
So she must sell more than 11500 books to make more with second publisher.
Complete the following problems. Please show your work.
1. A freight train leaves the station traveling due north at a speed of 40 mph. One hour later, a passenger train leaves the same station traveling due north on a parallel track at a speed of 50 mph. How long will it take the passenger train to overtake the freight train?
2. The width of a soccer field recommended for players under 12 is 32 yards less than the length. The perimeter of the fields is 290 yards. Find the dimensions of the field.
3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?
Answer:
see explanation
Step-by-step explanation:
(1)
Using the relationship
distance (d) = speed (s) × time (t)
The freight train leaves the station 1 hour earlier than the passenger train, so
d = 40(t + 1) ← Freight train
d = 50t ← Passenger train
We require to find when they are at the same distance from the station, then equating the 2 equations
50t = 40(t + 1) ← distribute
50t = 40t + 40 ( subtract 40t from both sides )
10t = 40 ( divide both sides by 10 )
t = 4
The passenger train will overtake the freight train after 4 hours
-------------------------------------------------------------------------------------
(2)
let l represent length, then width = l - 32
perimeter (P) = 2l + 2w = 290, that is
2l + 2(l - 32) = 290 ← distribute and simplify left side
2l + 2l - 64 = 290
4l - 64 = 290 ( add 64 to both sides )
4l = 354 ( divide both sides by 4 )
l = 88.5 and w = 88.5 - 32 = 56.5
Then dimensions are 88.5 yards by 56.5 yards
----------------------------------------------------------------------------------
(3)
Plan A : 100 + 15n
Plan B : 25n
When is Plan A better than Plan B , that is
100 + 15n > 25n ( subtract 25n from both sides )
100 - 10n > 0 ( subtract 100 from both sides )
- 10n > - 100
Divide both sides by - 10, reversing the symbol as a result of dividing by a negative quantity.
n < 10
Plan A is better when number of hours (n) is less than 10
Answer:
3. Jeanette can be paid in one of two ways for painting a house. : Plan A; $100 plus $15 per hour; Plan B: $25 per hour. Suppose that a job takes n hours to complete. For what values of n is Plan is Plan A better for Jeanette?
Jim buys a vase. The diameter of the vase is 14 cm. What is the circumference?
Step-by-step explanation:
To find circumfrence you use the equation:
[tex]C=2\pi r[/tex]
Since you were given the diameter so you divide by half to get the radius.
14/2 = 7
your radius is 7 and all you do is plug into the equation
[tex]C=2\pi 7[/tex]
C= 43.98 or 44 rounded
Answer:
To find circumfrence you use the equation:
Since you were given the diameter so you divide by half to get the radius.
14/2 = 7
your radius is 7 and all you do is plug into the equation
C= 43.98 or 44 rounded
Step-by-step explanation:
A 4 meter long ladder leans against a 90 degree wall at a 68 degree angle.
How far is the top of the ladder from the ground?
How far is the bottom of the ladder from the wall?
Answer:
Step-by-step explanation:
We use trig to answer these questions:
sin x = opposite side of a triangle / hypotenuse
cos x = adjacent side / hypotenuse
Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.
The height of the top of the ladder is then defined by:
sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =
3.71 m
and the distance of the bottom of the ladder from the wall as follows:
cos 68 degrees = horizontal distance / hypotenuse =
1.50 m
The top of the ladder is 3.7088 m away from the ground.
The bottom of the ladder is 1.5 m away from the wall.
What is Pythagoras theorem?According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given:
Angle = 68 degree
Hypotenuse = 4 m
Now, using Trigonometry
sin 68 = P/ H
0.9272 = P/ 4
P = 3.7088 m
Thus, the top of the ladder is 3.7088 m away from the ground.
Now, using Pythagoras theorem
H²= P² + B²
4² = (3.7088)² + B²
16 = 13.75 + B²
B² = 2.25
B= 1.5 m
Thus, the bottom of the ladder is 1.5 m away from the wall.
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