Answer:
[tex]option \: b) \: \: \: 5 \sqrt{5} cm[/tex]
Step-by-step explanation:
Given,
Base of the triangle = 10
Hypotenuse of the triangle = 15
So, according to Pythagoras Theorem,
[tex] {c}^{2} - {a}^{2} = {b}^{2} [/tex]
[tex] {15}^{2} - {10}^{2} = {b}^{2} [/tex]
[tex]225 - 100 = {b}^{2} [/tex]
[tex]125 = {b}^{2} [/tex]
[tex]b = \sqrt{125} [/tex]
[tex]b = \sqrt{5 \times 5 \times 5} [/tex]
[tex]b = 5 \sqrt{5} cm \: (ans)[/tex]
A biologist wants to compare the proportions of rainbow trout infected with whirling disease (an illness of
trout and salmon caused by a microscopic parasite) coming from two separate watersheds. For each
watershed, the biologist will collect a random sample of trout and record the proportion infected in the
sample. The biologist intends to estimate the difference for all trout in the two watersheds. Assuming all
conditions for inference are met, which of the following is the most appropriate method for the biologist to
use to analyze the results?
A
A one-sample z-interval for a population proportion
B
A one-sample z-interval for a sample proportion
с
A one-sample z-interval for a difference in sample proportions
D
A two-sample z-interval for a difference in population proportions
E
A two-sample z-interval for a difference in sample proportions
Answer:
D
Step-by-step explanation:
Because, the biologist wants to find the difference between the population of trouts from two watershed,
A biologist wants to compare the proportions of rainbow trout infected with whirling disease (an illness of trout and salmon caused by a microscopic parasite) coming from two separate watersheds.
The biologist will collect a random sample of trout and record the proportion infected in the sample The biologist intends to estimate the difference for all trout in the two watersheds
According to the given question, the most appropriate method for the biologist will be -A two-sample z-interval for a difference in population proportions
Because,Biologist wants to compare the proportions of rainbow trout infected with whirling disease and find the difference between the population of the trouts from two watershed .
Therefore , Statement D is the Correct
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There are 12 negative charges and 8 positive charges. Which integer represents the total value of the charges?
Answer:
-4
Step-by-step explanation:
-12 + 8
-4
what do you know to be true about the values of a and b
Answer:
a
Step-by-step explanation:
all angles in a triangle is equal to 180 so
60+50=110 so p =70
80+30=110 so q =70
p=q
Answer:
p=q
Step-by-step explanation:
a sales rep earns $700 a month plus $30 for every part sold
Answer:
Salary=30(parts sold) + 700
Step-by-step explanation:
4x-3y = 12 and 3x+2y =6
Answer:
x = 42/17
y = -12/17
Step-by-step explanation:
4x - 3y = 12
3x + 2y = 6
use the elimination method (definition at the bottom of the page)
multiply both sides of the equation 4x - 3y = 12 by 2
8x - 6y = 24
multiply both sides of the equation 3x + 2y = 6 by 3
9x + 6y = 18
now, add the two equations:
17x = 42
x = 42/17
now, plug this into the equation 3x + 2y = 6
126/17 + 2y = 6
2y = -24/17
y = -12/17
Find the value of tan Θ is sin Θ = 1/2 90° ≤ Θ ≤ 180°
a. -√3/2
b. -√3/3
c. √3/2
d. √3/3
9514 1404 393
Answer:
b. -√3/3
Step-by-step explanation:
From your knowledge of the values of trig functions of special angles, you know sin(30°) = 1/2. For an angle in the second quadrant, this means the reference angle is 30° and the actual angle measure is 180° -30° = 150°.
The corresponding value of the tangent function is -√3/3, negative in the second quadrant.
Answer:
sin theta=p/h=1/2 let p=1k and h=2k
tan theta=p/b=1k/(√(2k)²-k²)=1k/k√3=1/√3
=tan 30
therefore theta =30°
your answer is 1/√3=√3/3
Rahul is an engineer and designed an electric car which is moving at an average speed of 56 km per hour. One day, he is travelling and testing his car. If he travelled 7 hours on that day, how much distance does he travelled?
Answer: He travelled 392 km that day.
Step-by-step explanation:
We are given that,
Speed of electric car = 56 km per hour.
Time = 7 hours
We know that,
Distance = Speed x Time
If he travelled 7 hours on that day, then Distance traveled in 7 hours on that day= (56 km per hour) x (7 hours)
i.e. Distance traveled in 7 hours on that day== 392 km
Hence, he travelled 392 km that day.
I'm very confused please help me ASAP
Answer:
The degree of the equation is 5.
Step-by-step explanation:
At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.
What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:
(2x + 3) * (x² - 1)
In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:
(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)
= 2x³ - 2x + 3x² - 3
Now, we apply the same thing with the other two expressions:
(x + 1) * (x - 2)
= (x * x) + (x * -2) + (1 * x) + (1 * -2)
= x² - 2x + x -2
= x² - x - 2
For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:
(2x³ - 2x + 3x² - 3) * (x² - x - 2)
= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)
+ (-2x * x²) + (-2x * -x) + (-2x * -2)
+ (3x² * x²) + (3x² * -x) + (3x² * -2)
+ (-3 * x²) + (-3 * -x) + (-3 * -2)
= (2x⁵ - 2x⁴ - 4x³)
+ (-2x³ + 2x² + 4x)
+ (-3x⁴ - 3x³ - 6x²)
+ (-3x² + 3x + 6)
Simplifying:
= 2x⁵ - 5x⁴ - 9x³ - 7x² + 7x + 6The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.
Hope this helps
What is the perimeter of △LMN?
8 units
9 units
6 + StartRoot 10 EndRoot units
8 + StartRoot 10 EndRoot units
Answer: 8 + StartRoot 10 EndRoot units (Option D, in other words, the last one)
Step-by-step explanation: I'm right bros
2y = x - 12, solve for X
Joanna is selling tickets for the school play $he ha$ already $old $35
worth of tickets. $he ha$ seven ticket$ left to sell for $5 per ticket. write
function to describe the total amount of money collected if she sells every single ticket
Answer:
okay, so given we have that she has already sold $35 worth of tickets. We know that she has seven tickets left to sell, and each is worth $5. So, we would do 7×$5=$35
Next, we would add $35(from the previous money she has made) and $35 (the money she just made from the 7 tickets) and that would equal $70
equation: y=35+7(5)
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️☁️☁️
Answer this question for 25 points
Answer:
49
Step-by-step explanation:
i see the other answer is absolutely useless
Marble:Stone
6 : 7
42 : 49
therefore there are 49 stones
Answer:
49
Step-by-step explanation:
42 ÷ 6 is 6
7 x 7 is 49
so its 49
Quadrilateral BCDE is dilated by a scale factor of 2 with the center of dilation at the origin. If the coordinates of point B are (2, 1), the coordinates of B' are
Answer:
The coordinates are B'(1,0.5)
Step-by-step explanation:
Since the center of dilation is at the origin, we just divide the coordinates of the point by the scale factor.
In this question:
Scale factor of 2
B(2,1)
2/2 = 1
1/2 = 0.5
So, the coordinates are B'(1,0.5)
8 grade solution plobem, first explantion gets brainest
Answer:
x=8
y=1/6x+4/6
y= 2
Step-by-step explanation:
using the midpoint formula find the coordinates of the midpoint 9f each sigment with end points (4,2),(-5,-1)
Answer:
The midpoint of the segment is (-0.5,0.5).
Step-by-step explanation:
Midpoint of a segment:
The midpoint of a segment is given by the mean of its coordinates.
Segment with end points (4,2),(-5,-1)
x-coordinates: 4 and -5
y-coordinates: 2 and -1
x-coordinate of the midpoint:
[tex]x = \frac{4-5}{2} = -\frac{1}{2} = -0.5[/tex]
y-coordinate of the midpoint:
[tex]y = \frac{2-1}{2} = \frac{1}{2} = 0.5[/tex]
The midpoint of the segment is (-0.5,0.5).
negative 5x plus 4y equals 3 i need x and y please
Answer:
x = 9
y = 12
Step-by-step explanation:
-5x + 4y = 3
x = 2y - 15
Manipulate the equations such that the coefficients of two variables are additive inverses
-5x + 4y = 3
x = 2y - 15
Inverse operations
-> 4y - 3 = 5x
-> 2y - 15 = x (*(-5))
->4y - 3 = 5x
-> -10y + 75 = -5x
Now add the equations to eliminate a variable,
4y - 3 = 5x
-10y + 75 = -5x
-6y + 72 = 0
Inverse operations
-6y + 72 = 0
72 = 6y
/6 /6
12 = y
Back solve to find (x)
2y - 15 = x
2(12) - 15 = x
24 - 15 = x
9 = x
Select the correct answer. A farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement. For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants. After three months, they reported their findings as shown.
Answer:
Step-by-step explanation:
at the bottom it has a key and the key shows blue that had the urea supplement and green with out. the graph has a higher amount of growth for the plants with the urea supplement and green with about half the growth.
so you could say something like this: over the course of three months the plants with the urea supplement had almost double the amount of growth the plants without the urea supplement did, over all the the urea increased the amount of growth the plants had over the 3 month time span. :)
The conclusion from the farmer's data can be made is the fertilizer with urea supplement is more effective than the fertilizer without it.
What is histogram?A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to bar graph.
Farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement.
For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants.
After three months, they reported their findings as shown. Let's understand what happen in each month,
In first month, 4 number of plants with above average growth with urea supplement, while only 2 plant shown this growth when urea is not supplied.In second month, 7 number of plants with above average growth with urea supplement, while only 4 plant shown this growth when urea is not supplied.In third month, 5 number of plants with above average growth with urea supplement, while only 3 plant shown this growth when urea is not supplied.Thus, the conclusion from the farmer's data can be made is the fertilizer with urea supplement is more effective than the fertilizer without it.
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x -1 < -4
What is ittttttttt
Answer:
x<-3
Step-by-step explanation:
x-1+1<-4+1
x<-3
Someone please help me I’ll give out brainliest please dont answer if you don’t
106 lb decreased by 5% is
Write 1/200 as a percent.
Answer:
0.5%
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{In order for you to convert fractions into percentages you have DIVIDE}\\\large\text{the NUMERATOR from DENOMINATOR, whatever its outcome is}\\\large\text{MULTIPLY it by 100}[/tex]
[tex]\mathsf{\dfrac{1}{100}=1\div100\rightarrow \bf{0.005}}\\\\\\\mathsf{0.005\times 100 = 0.5\%}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{0.5\%}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is 4 copies of 1/5
Answer:
1/5 + 1/5 + 1/5 + 1/5 = 4/5
Step-by-step explanation:
The 4 copies of the fraction 1/5 will be 4/5.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
As per the given,
4 copies of 1/5
The first copy of /5 = 1/5
Second one = 1/5
Third = 1/5
And fourth = 1/5
Collective all copies are 1/5 + 1/5 + 1/5 + 1/5
Take LCM as 5,
(1 + 1 + 1 + 1)/5 = 4/5
Hence "The 4 copies of the fraction 1/5 will be 4/5".
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Which comparison is correct?
151 >>7
07<171
1-31 >|-41
0-5<-4
Answer:
151>7 is correct
Step-by-step explanation:
There are 35 boxes with 48 base balls in each box how many baseballs are there altogether
Answer:
35x48=1680
Step-by-step explanation:
1680
Find all the zeros of the equation.
-x^3-x^2=11x+11
Answer:
x= -1 , i(sqrt11) , -i(sqrt11)
Step-by-step explanation:
subtract 11x from both sides
-x^3 - x^2 - 11x = 11
subtract 11 from both sides
-x^3 - x^2 - 11x - 11 = 0
Factor the left side of the equation
- (x - 1)(x^2 + 11) = 0
Set both factors to zero and solve for x
x + 1 = 0 x^2 + 11 = 0
-1 -11
x^2 = -11
x = -1 x = +/- i(sqrt11)
write the place value of the 5 in each number. a) 1 325
Answer:
Place Value of 5 in 1325 is 'Thousands'
Find the value of m. Quarts 0 1 2 e G 0 Gallons =0
if 2 quarts=1/2 galleon on the graph.
Then half of 2 quarts will be half of 1/2 galleons.
Therefore 1 quart=1/4 galleons.
Hope it helps!
The length of a planet's orbit around a star is approximately 17,680,000 km.
It takes the planet about 860 Earth days to complete a full orbit.
What is the planet's average speed in kmh 1 to 3sf?
Answer: 856.59 km/h
Step-by-step explanation:
Length of a planet's orbit around a star = 17,680,000 km.
Days to complete full orbit = 860 days
Number of hours to complete full orbit = 860 × 24 hours = 20640 hours
The planets average speed in km/h will be:
= Distance / Time
= 17,680,000 / 20640
= 856.59 km/h
Note: 24 hours = 1 day
find a angle which is 2/3 of its complement
Answer:
36°
Step-by-step explanation:
let x be the required angle then
x = [tex]\frac{2}{3}[/tex] ( 90 - x) [ complementary angles sum to 90° ]
x = 60 - [tex]\frac{2}{3}[/tex] x ( add [tex]\frac{2}{3}[/tex] x to both sides )
[tex]\frac{5}{3}[/tex] x = 60 ( multiply both sides by [tex]\frac{3}{5}[/tex] )
x = 36°
note 36° is [tex]\frac{2}{3}[/tex] of 54°
2^x=1/128 solve the equation
Answer:
x = − 7
Step-by-step explanation:
y = 4.5*x^2-9*x+8.5;4.5;-9;8.5
-(((-9)^2-(4*4.5*8.5))/(4*4.5))
-(-9/(2*4.5))
4.5*0^2-(0*9)+8.5
(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))