Answers
Answer:
34
Step-by-step explanation:
The bottom line is at 180
The top line is at 146
180-146 =34
Related Questions
please answer both questions thanks
Answers
Answer:
8. cos(58) = 20/x
x · cos(58) = 20
x = 20/cos(58)
= 37.742
≈ 37.7
9. tan(69) = 324/x
x · tan(69) = 324
x = 324/tan(69)
= 124.372
≈ 124.4
Michael and Sondra are mixing lemonade. In Michael’s lemonade, the ratio of lemons to water is 1:4. In Sondra’s lemonade, the ratio of lemons to water is 2:6. Several equivalent ratios for each mixture are shown in the ratio tables.
Michael
Lemons
Cups of Water
1 4
3 12
4 16
Sondra
Lemons
Cups of Water
2 6
4 12
6 18
Imagine that you want to compare Michael’s ratio to Sondra’s ratio. Which two ratios in the tables shown have a common denominator you could use to compare?
Answers
Answer:
1/4= 3/12 & 2/6 = 4/12
Step-by-step explanation:
Answer:
Its simply B
Step-by-step explanation:
If we are to express both ratios in their simplest form, we will have the ratio of Michael’s lemonade is 1:4 and that of Sondra is 1:3. The denominator that can be used in order to compare the ratios is that which can be divided by both ratios. For example, we have 12 as a denominator. The ratios can be expressed as 3/12 and 4/12. Also, the denominator can be 24 such that the ratios can be expressed as 6/24 and 8/24.
Use the method of least squares to solve the following problem.
Given the data set below, find the line of best fit? Then find the y-value for when x=7. Yes, there are supposed to be
two 6's.
Х
1
2
4
5
6
6
8
9
Y
14
10
12
8
9
6
3
4
Answers
A positive real number is 1 more than another. When -2 times the smaller is added to the square of the larger, the result is 33. Find the numbers.
Answers
Answer:
The smaller number is 4√2 and the larger number is (4√2 + 1).
Step-by-step explanation:
Let the two numbers be x and y, where y is the larger of the two numbers.
Since y is the larger number, it is one more than the smaller number. So:
[tex]y=x+1[/tex]
When negative two times the smaller is added to the square of the larger, the result is 33. In other words:
[tex]-2x+y^2=33[/tex]
Substitute:
[tex]-2x+(x+1)^2=33[/tex]
Solve for x. Square:
[tex]-2x+(x^2+2x+1)=33[/tex]
Simplify:
[tex]x^2+1=33[/tex]
Subtract one from both sides:
[tex]x^2=32[/tex]
And take the square root of both sides:
[tex]x=\pm\sqrt{32}=\pm 4\sqrt{2}[/tex]
Since y is positive, we can ignore the negative case. So, the smaller number is:
[tex]x=4\sqrt{2}\approx5.66[/tex]
And the larger number is:
[tex]y = 4\sqrt{2} + 1 \approx6.66[/tex]
In science class sara needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other two experiments required the same number of test tubes. How many test tubes were needed for each of the the other two experiments
Answers
Answer:
as we know Sara need 8 tube in 3 experiment
she will use 2 tube in 1 experiment
now she have 6 tube in other experiments
so the question said to find how many tube were used in both experiment equally so 3,3 test tube were needed for each of the other two experiment
Step-by-step explanation:
total tube=8 (3 experiment)
used =2tube (1 experiment)
remaining=8-2=6
now ,
dividing 6 into 2 equal part
so,=6/2=3
so 3 tube were used in 2nd experiment and 3in 3rd experiment
Anquan's account balance is $29.96, and Will's account balance is -$29.96. Which of the following is true
Answers
Answer:
is there anymore to the question because this doesn't make sense
Step-by-step explanation:
Geometry, circles please help that'd be great.
Answers
Answer:
maybe the answer is 63cm...
Can someone please answer and explain this.
Answers
Answer:
x =74
Step-by-step explanation:
540 degrees is the sum of all the angles
90 +90 + 2x+10 + x + 2x-20 = 540
Combine like terms
5x+170=540
Subtract 170 from each side
5x = 370
Divide by 5
5x/5 = 370/5
x =74
Only answer if you're very good at Math.
What is the sum of 7x/x^2 - 4 and 2/x + 2?
A: 7x + 2/x^2 - 4
B: 9x - 4/x^2 - 4
C: 7x + 2/ x^2 + x - 2
D: 9/x
Answers
Answer:
Solution given:
B: 9x - 4/x^2 - 4
Step-by-step explanation:
.k
There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.08 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.03 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm.
What is the probability that the first machine produces an acceptable cork? (Round your answer to four decimal places.)
What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)
Please explain the math behind your answer so I am able to understand!(:
Answers
Answer:
0.7888 = 78.88% probability that the first machine produces an acceptable cork.
0.9772 = 97.72% probability that the second machine produces an acceptable cork.
Step-by-step explanation:
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.
First machine:
Mean 3 cm and standard deviation 0.08 cm, which means that [tex]\mu = 3, \sigma = 0.08[/tex]
What is the probability that the first machine produces an acceptable cork?
This is the p-value of Z when X = 3.1 subtracted by the p-value of Z when X = 2.9. So
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3}{0.08}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944
X = 2.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.9 - 3}{0.08}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a p-value of 0.1056
0.8944 - 0.1056 = 0.7888
0.7888 = 78.88% probability that the first machine produces an acceptable cork.
What is the probability that the second machine produces an acceptable cork?
For the second machine, [tex]\mu = 3.04, \sigma = 0.03[/tex]. Now to find the probability, same procedure.
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3.04}{0.03}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772
X = 2.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.9 - 3.04}{0.03}[/tex]
[tex]Z = -4.67[/tex]
[tex]Z = -4.67[/tex] has a p-value of 0
0.9772 - 0 = 0.9772
0.9772 = 97.72% probability that the second machine produces an acceptable cork.
Use logarithmic differentiation to differentiate the question below
[tex]y = x \sqrt[3]{1 + {x}^{2} } [/tex]
Answers
Answer:
[tex] \orange{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]
Step-by-step explanation:
[tex]y = x \sqrt[3]{1 + {x}^{2} } \\ assuming \: log \: both \: sides \\log y = log(x \sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + log(\sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + \frac{1}{3} log({1 + {x}^{2} } ) \\ differentiating \: both \: sides \: w.r.t.x \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{1}{3} . \frac{1}{(1 + {x}^{2}) } (0 + 2x) \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{2x}{3(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3(1 + {x}^{2}) + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 3{x}^{2} + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 5{x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{dy}{dx} =\frac{y(3 + 5{x}^{2} )}{3x(1 + {x}^{2}) } \\ \\ \frac{dy}{dx} =\frac{x \sqrt[3]{1 + {x}^{2} } (3 + 5{x}^{2} )}{3x(1 + {x}^{2}) }\\ \\ \frac{dy}{dx} =\frac{(3 + 5{x}^{2} )\sqrt[3]{1 + {x}^{2} } }{3(1 + {x}^{2}) }\\ \\ \purple{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]
Anya contributed $1,200 toward the purchase
of a $2,000 computer. Her brother contributed
$240 toward the same computer. Her parents
provided the rest of the money for the computer. What percentage of the total cost of the computer did Anya's parents pay?
Answers
Answer:
Parent's share would be : 28%
Step-by-step explanation:
Cost of the computer = $2000
Anya's share = $1200
Brother's share = $240
Parents paid rest. That will be : 2000 - 1200 - 240 = $560
Percentage of parents share :
[tex]\frac{560}{2000} \times 100 = 28 \%[/tex]
a cylinder water tank carries a volume of 150L when it is full. The water tank has a base surface with a diameter of 140 cm. what is the height of the water tank?
Answers
Answer:
9.74418019cm=h
~ 9.7442
Step-by-step explanation:
volume of a cylinder=πr²h
radius=½of diameter
=½×140cm
=70cm
1l=1000cm³
150l=150l/1l×1000cm³
=150000cm³
150000cm³=π(70cm)²×h
150000cm³=15393.8040cm²h
150000cm³/15393.8040cm²=15393.8040cm²h/15393.8040cm²
150000cm³/15393.8040cm²=h
9.74418019cm=h
Evaluate the following expression. "12 more than 5"
Answers
Answer:
17
Step-by-step explanation:
12+5
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard
deviation of $2 million. A baseball analyst randomly selects 40 athletes and records the mean salary. What is the shape
of the distribution of the sample mean for all possible random samples of size 40 from this population?
skewed left
skewed right
approximately Normal
approximately uniform
Answers
Answer:
approximately Normal with a mean of 3.2 million and a standard deviation of 0.32 million
Step-by-step explanation:
For normal distribution conditions
1) Sample size is greater than 30
2) Population standard deviation is known
3) population is normal distributed
Above any condition given problem if satisfied than it's distribution will approximately normal.
n = 40 > 30
Sample size(n) greater than 30 and population standard deviation is known.
So the distribution will approximately be normal
Hope this helps!
The shape of the distribution of the sample mean for all possible random samples of size 40 from this population is approximately Normal
The following any or all conditions should be there for normal distribution:
The Sample size is more than 30 .Population standard deviation is known .The Population is normal distributed
Now
n = 40 > 30
Here
Sample size(n) more than 30 and population standard deviation is known.
Learn more: brainly.com/question/17429689
You will purchase some cds and dvds. If you purchase 13 cds and 5 dvds, it will cost you $96.70; if you purchase 5 cds and 12 dvds, it will cost you $134.50. Write and solve a system of equations to solve.
Answers
You will purchase some cds and dvds. If you purchase 13 cds and 5 dvds, it will cost you $96.70; if you purchase 5 cds and 12 dvds, it will cost you $134.50. Write and solve a system of equations to solve for the cost of each cd and the cost of each dvd.
Answer:Cost of cd = $3.72
Cost of dvd = $9.66
Step-by-step explanation:Let the cost of a cd be c
Let the cost of a dvd be d
From the second statement:
If you purchase 13 cds and 5 dvds, it will cost you $96.70
This means that
13c + 5d = 96.70 ----------------(i)
Also, from the third statement:
if you purchase 5 cds and 12 dvds, it will cost you $134.50
This means that;
5c + 12d = 134.50 ---------------------(ii)
The equations to solve are equations (i) and (ii)
13c + 5d = 96.70
5c + 12d = 134.50
Multiply the first equation by 5 and the second equation by 13. i.e
5 x (13c + 5d = 96.70)
13 x (5c + 12d = 134.50)
This will give
65c + 25d = 483.5
65c + 156d = 1748.5
Find the difference of the two equations
65c + 25d = 483.5
-
65c + 156d = 1748.5
0 - 131d = - 1265
This gives;
-131d = -1265
Divide both sides by -131
[tex]\frac{-131d}{-131} = \frac{-1265}{-131}[/tex]
d = 9.66
This means that the cost of a dvd which is d = $9.66
Now substitute the value of d = 9.66 into equation (i) as follows;
13c + 5(9.66) = 96.70
Expand the above and solve for c
13c + 48.3 = 96.70
13c = 48.4
c = [tex]\frac{48.4}{13}[/tex]
c = 3.72
This means that the cost of a cd which is c = $3.72
Please help me!!! WILL MARK BRAINLIEST AND THANK
Answers
Answer:
2 is the same as 4
Step-by-step explanation:
What is the solution to the following system of equations?
[3x-2y = 12
16x-4y = 24
O It has infinitely many solutions.
It has no solution.
It has one solution (2, -3).
It has one solution (4,0).
Answers
Answer:
(0, -6)
Step-by-step explanation:
Given the following systems of linear equations;
3x - 2y = 12 ...... equation 1
16x - 4y = 24 ........ equation 2
We would solve for the solution using the elimination method;
Multiplying eqn 1 by 2, we have;
2 * (3x - 2y = 12)
6x - 4y = 24
16x - 4y = 24
Subtracting the two equations, we have;
(6x - 16x) + (-4y -[-4y]) = (24 - 24)
-10x - 0 = 0
-10x = 0
x = -0/10 = 0
Next, we would find the value of y;
3x - 2y = 12
3(0) - 2y = 12
0 - 2y = 12
-2y = 12
y = -12/2
y = -6
Check:
3x - 2y = 12
3(0) - 2(-6) = 12
0 - (-12) = 12
12 = 12
Note: the options provided for this questions are incorrect or inappropriate.
HELP ME PLEASEEEEEEEEEEEE
Answers
Answer:
x=in5
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST!
Answers
Answer:
at first put the value of X
after that do the equation.
Step-by-step explanation:
hope it will help you
Answer:
a = 2
Step-by-step explanation:
substitute x with the number 5.
5+8a=25+5a-7a
subtract 5a from both sides
5+3a=25-7a
add 7a to both sides
5+10a = 25
subtract 5 from both sides
10a=20
divide both sides by 10
a = 2
What is the value........
Answers
Answer:
[tex]a_5 = 120[/tex]
Step-by-step explanation:
Given
[tex]a_1 = 1[/tex]
[tex]a_n = n(a_{n-1})[/tex]
Required
[tex]a_5[/tex]
This is calculated as:
[tex]a_5 = 5(a_{5-1})[/tex]
[tex]a_5 = 5*a_4[/tex]
Calculate [tex]a_4[/tex]
[tex]a_4 =4(a_{4-1})[/tex]
[tex]a_4 =4*a_3[/tex]
Calculate [tex]a_3[/tex]
[tex]a_3 =3*a_2[/tex]
Calculate [tex]a_2[/tex]
[tex]a_2 = 2 * a_1[/tex]
[tex]a_2 = 2 * 1[/tex]
[tex]a_2 = 2[/tex]
So:
[tex]a_3 =3*a_2[/tex]
[tex]a_3 = 3 * 2 = 6[/tex]
So:
[tex]a_4 =4*a_3[/tex]
[tex]a_4 = 4 * 6 =24[/tex]
Lastly;
[tex]a_5 = 5*a_4[/tex]
[tex]a_5 = 5 * 24[/tex]
[tex]a_5 = 120[/tex]
why is the growth factor 0.9?
Answers
Answer:
Actual growth of population - Birth - Death + In migration - Out Migration. ...
why are chiken nugget rw that come from plans
Answers
Answer:
because i decided that
Step-by-step explanation:
5x + 3y = 17
-8x - 3y = 9
Answers
Answer:
1)x=−3/5y+17/5
2)x=−3/8y+−9/8
Step-by-step explanation:
Let's solve for x.
5x+3y=17
Step 1: Add -3y to both sides.
5x+3y+−3y=17+−3y
5x=−3y+17
Step 2: Divide both sides by 5.
5x/5=−3y+17/5
x=−3/5y+17/5
Answer:
x=−3/5y+17/5
Let's solve for x.
−8x−3y=9
Step 1: Add 3y to both sides.
−8x−3y+3y=9+3y
−8x=3y+9
Step 2: Divide both sides by -8.
−8x/−8=3y+9/−8
x=−3/8y+−9/8
Answer:
x=−3/8y+−9/8
I HOPE THIS IS CORRECT IF NOT TELL ME AND ILL FIX IT.
Question 2
Find the volume.
Answers
Answer:
Volume of cone = 686π/3 or 718.67 in³
Step-by-step explanation:
Given the following data;
Radius, r = 7 in
Height, h = 14 inches
From the diagram, we can see that the object is a cone
To find the volume of a cone;
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the equation, we have;
[tex] Volume = \frac{1}{3} * \frac {22}{7} *7^{2}*14 [/tex]
[tex] Volume = \frac{1}{3} * 22 * 7 * 14 [/tex]
[tex] Volume = \frac{1}{3} * 2156 [/tex]
[tex] Volume = 718.67 [/tex]
Volume of cone = 718.67 in³ or 686π/3 in³
gold that is 24 karat is 100% pure gold. gold that is 14 karat is 14 parts pure gold and 10 parts another metal, such as copper,zinc,silver, or nickel. What percent of 14 karat gold if pure gold.
help im confused
Answers
100% is 14+10=24
14 divided by 24 = 0.583
Move decimal over to the right twice is 58.3%
Sand is being dumped from a conveyor belt and forms a conical pile. Assuming that the height of this cone is always exactly 3 times the size of the radius of its base, and that thesand is added at the rate of 10 m^3/min, how fast is the height increasing when the pile is15 m high?
Answers
Answer:
dh/dt = 0.4 m/min
Step-by-step explanation:
The volume of the cone is:
V(c) = (1/3)*r² *h if always h = 3r then r = h/3
The volume of the cone as a function of h will be:
V(h) = (1/3)* (h/3)²*h
V(h) = (1/27)*h³
The increasing rate of the volume is equal to the rate of sand added the:
D(V)/dt = (1/27)*3*h²*dh/dt
D(v) / dt = 10 m³/min
h = 15 m and dh/dt is the rate of increasing of the height
By substitution
10 m³/min = ( 1/9)* 225 * dh/dt (m²)
dh/dt = 90 / 225 m/min
dh/dt = 0.4 m/min
What is the probability that a randomly selected day in the summer will be rainy if it’s cloudy?
Answers
Answer:
0.872
Step-by-step explanation:
Given that :
P(cloudy) = P(C) = 0.94
P(cloudy and rainy) = P(C n R) = 0.82
Probability that a given day will be rainy if it is cloudy ; this is a conditional probability problem:
Recall ; P(A|B) = P(AnB) / P(B)
P(R|C) = P(C n R) / P(C) = 0.82 / 0.94 = 0.872
find the area of the following figure.
Answers
Explanation:
Divide figure into two triangles:
Area of triangle to the left (1/2•base•height):
1/2 • 6 • 4 = 12 square meters
Area of triangle to the right:
1/2 • 6 • 9 = 27 square meters
Add the area of both triangles:
27 + 12 = 39
FINAL ANSWER: 39 square meters
Hope this helps!
A card is drawn randomly from a standard 52 card deck. Find the probability of drawing the given card. NO LINKS!!!!
Answers
Answers:
Problem 7) 1/26Problem 8) 1/13Problem 9) 10/13Problem 10) 1/2Problem 11) 11/13Problem 12) 3/13===================================================
Explanations:
Problem 7)
There are 2 red aces (hearts, diamonds) out of 52 cards total, so 2/52 = 1/26 is the probability of picking a red ace.
---------------------------
Problem 8)
There are 4 kings out of 52 cards total, so 4/52 = 1/13 are the odds of picking a king.
This is the same as say focusing on one suit (eg: clubs) and finding the probability of pulling out a king.
---------------------------
Problem 9)
There are 3 face cards per suit (Jack, Queen, King) so 3*4 = 12 face cards in all. The odds of picking a face card are 12/52 = 3/13. That makes 10/13 the odds of not picking a face card, since 3/13+10/13 = 1.
---------------------------
Problem 10)
The answer is 1/2 because half of the cards are red.
You could say 26/52 = 1/2 since there are 26 red cards out of 52 cards total.
---------------------------
Problem 11)
There are 4 copies of '2' and 4 copies of '3', so there are 4+4 = 8 cards we want to avoid. The probability of picking either of them is 8/52 = 2/13. The odds of not picking any of these cards is 11/13 (refer to problem 9).
---------------------------
Problem 12)
We have 4 copies each of '7', '8' and '9'
That gives 4*3 = 12 cards total we want to pick.
So 12/52 = 3/13 is the answer.