Answer:
x = 9.8
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the value of y. This can be obtained as follow:
Angle θ = 45
Opposite = 6
Hypothenus = y
Sine θ = Opposite /Hypothenus
Sine 45 = 6/y
0.7071 = 6/y
Cross multiply
y × 0.7071 = 6
Divide both side by 0.7071
y = 6 / 0.7071
y = 8.5
Finally, we shall determine the value of x. This can be obtained as follow:
Angle θ = 60
Opposite = 8.5
Hypothenus = x
Sine θ = Opposite /Hypothenus
Sine 60 = 8.5 / x
Cross multiply
x Sine 60 = 8.5
Divide both side by sine 60
x = 8.5 / sine 60
x = 8.5 / 0.8660
x = 9.8
A building security code has 2 numeric
digits, O through 9, followed by 2 letters.
What is the probability that the first digit
is 9 and the last letter is A?
Answer:
Step-by-step explanation:
First number is 1/10
Last letter is 1/26
The second digit is 1/9
The first letter is 1/25
1/10 * 1/26 * 1/9 * 1/25
0.00001709
This assumes no duplication is allowed,
If there are duplications
then 1/10 * 1/10 * 1/26 * 1/26
0.000014782
Suppose you work for a political organization and you are interested in hearing how the residents of New York State feel about a particular issue. You are asked to create a sample of at least 10000 residents using a CLUSTER methodolgy. Explain how you could create this sample of New York State residents?
Since the state is broken up into counties, and each county subdivided into precincts, this provides a natural way to form cluster samples.
If the precinct populations are too large, then you can further subdivide based on household or building residence. In other words, you can randomly select a building and consider that a separate cluster. All residents of that building would be part of the cluster.
In cluster sampling, the idea is that whichever clusters you select, you survey every person who resides in that cluster. So naturally you need to be careful not to go overboard.
There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of exactly 1 red?
please need ASAP
Answer:
3 out of 12 chance i believe.
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
We'll need to use casework, since the problem stipulates there needs to be exactly one red drawn. Because we're drawing two marbles, we can either draw a red one first or a red one second. With casework, we'll add the probability a red marble is drawn the first draw and the probability a red marble is drawn the second draw.
There are [tex]4+3+5=12[/tex] marbles total. The probability of drawing a red marble is equal to the number of red marbles (3) divided by the total number of marbles (12). Therefore, the probability of getting a marble on the first draw is [tex]3/12=1/4[/tex]. Since the marble is replaced, there are still 12 marbles, 4 blue, 3 red, and 5 green, for the second draw. We want to add the probability a red marble is drawn the first draw to the probability a red marble is drawn the second draw. Therefore, for the second draw, let's find the chances of not choosing a red marble. There is a [tex]9/12[/tex] chance that the marble chosen is not red. Therefore, the probably of this case happening is [tex]\frac{1}{4}\cdot \frac{9}{12}=\frac{9}{48}[/tex].
This case has the exact same probability as the other case, where a non-red marble is chosen the first draw and the red marble is now chosen the second draw ([tex]9/12[/tex] chance to choose a non-red marble and [tex]1/4[/tex] chance to choose a red marble).
Add these cases up:
[tex]\frac{9}{48}+\frac{9}{48}=\frac{18}{48}=\boxed{\frac{3}{8}}[/tex]
A company pays a bonus to four employees A, B, C, and D. A gets four times as much as B. B gets 50% of the amount paid to C. C and D get the same amount. If the total bonus is ¢1,800.00, set all necessary equations to ascertain the share of each employees.
Answer:
A = 800, B = 200, C = 400 Andy D = 400
Step-by-step explanation:
.80 to the 8th power
Answer:
0.16777216
Step-by-step explanation:
(. 8)^8=0.16777216
I need help ASAP please help me solve this math question
Answer:
b appears to be correct
Step-by-step explanation:
I thought of a number. I added 15, tripled it and then subtracted 3 from the result. I got 42. What was my number?
Answer:
45
Step-by-step explanation:
15 x 3 = 45 - 3 = 42
g A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of all plates blister under such circumstances
Complete Question
A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of plates blister under such circumstances?
A) State H_0 and H_a, (5 pts)
B) Test the hypothesis using the P-Value approach at a significance level of 4%: (15 pts)
Expert Answer
Answer:
a)[tex]H_0:p=0.10[/tex]
[tex]H_a:p>0.10[/tex]
b) We fail to reject Null hypothesis
Step-by-step explanation:
From the question we are told that:
Sample size n=100
No. with blistered x=11
a)
Generally the Hypothesis given as
[tex]H_0:p=0.10[/tex]
[tex]H_a:p>0.10[/tex]
b)
Since p=0.10
Therefore
[tex]p'=\frac{11}{100}[/tex]
[tex]p'=0.11[/tex]
Test statistics
[tex]Z=\frac{p'-p}{\sqrt{p(1-p)}}[/tex]
[tex]Z=\frac{0.11-0.10}{\sqrt{0.10*0.90/100}}[/tex]
[tex]Z=1.33[/tex]
From table
[tex]P-Value =0.092[/tex]
Therefore
P-value >0.04 significance level
Hence,We cannot conclude that at [tex]4\%[/tex] significance level the proportion is greater than [tex]10\%[/tex]
We fail to reject Null hypothesis
What is the conjugate of
square root 8 - square root 9
Answer:
[tex]\sqrt{8}+\sqrt{9}[/tex]
Step-by-step explanation:
By definition, the conjugate of a binomial is when you switch the operator (either + or -) in between the terms. For example, the conjugate of [tex]a+b\sqrt{c}=a-b\sqrt{c}[/tex] as we are just changing the addition symbol (+) to a subtraction symbol (-).
Therefore, the conjugate of [tex]\sqrt{8}-\sqrt{9}[/tex] occurs when we change the subtraction symbol to an additional symbol, hence the answer is [tex]\boxed{\sqrt{8}+\sqrt{9}}[/tex]
HELP ME PLEASE I NEED HELP
Answer:
1. 3-5
2. 5-3
3. 3-5
4. 5-3
Step-by-step explanation:
This is simple! Just get rid of the parenthesis for each of the expressions shown.
3 + (-5)
the plus sign is next to the negative which is in the parenthesis. Negative times positive is equal to negative. The expression then becomes
3 - 5
Now do the same for the rest!
For things like 3 and 4, you can just flip it like 3-5 and 5-3 because it will all equal the same :]
Hope this helps !!
-Ketifa
calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly
Answer:
9.725%
Step-by-step explanation:
(1.0475)^2 =1.09725
one year 2 periods 4.75% per period
CUSTOMERS AT A STORE
The bar graph above shows the number of customers who shopped at a store Monday through Thursday of
one week. If the number of customers on Friday was a one-fifth increase over the number of customers on
Thursday, how many customers shopped at the store on Friday?
O 480
O 500
O 525
O 600
Answer:
480
Step-by-step explanation:
We are looking for the total number of customers in the store on Friday using a chart and a fractional increase.
On Thursday there were 400 customers, so we need to find the amount of the increase.
1/5 of 400 =80
Increase Thursday's amount, 400, by the amount of the increase, 80, to find the number of customers on Friday.
400+80 = 480
Friday has 480
Answer:
480
Step-by-step explanation:
400 + 1/5(400) = 400 + 80 = 480
Find x on this special right triangle
Answer:
the ans is 45⁰ BC it is a right angle
Step-by-step explanation:
Is this a trigonometry ratio
What does union mean in a statistics problem?
Step-by-step explanation:
The union of two sets is the set of elements that belong to one or both sets.
Symbolically, the union of X and Y is denoted by X ∪ Y. As an example, suppose set A = {1, 2, 3} and set B = {1, 3, 5}.
Then, the union of sets A and B would be {1, 2, 3, 5}.
About 6% of the population of a large country is math phobic. If two people are randomly selected, what is the probability both are math phobic?
Answer:
0.0036
Step-by-step explanation:
Given that :
Proportion of population that are math phobic = 6% = 6/100 = 0.06
P(math phobic) = 0.06
If two selections are made ; probability that both are math phobic ;
P1 = selection 1 = 0.06
P2 = selection 2 = 0.06
Probability that both are math phobic :
P1 * P2 = (0.06 * 0.06) = 0.0036
What is 4x-3(x-2y)+1/2(6x-8y) in fraction form
Answer:
Hola
Step-by-step explanation:I need points
Answer:
4x+2y
Step-by-step explanation:
Which of the following equations is modeled by the graph?
A)
a = 50t
B)
a = 5t
C)
a = 50 + t
D)
a = 10t
The object of a popular carnival game is to roll a ball up an incline into regions with different
values. The probability that Angus will get 100 points in a roll is 40%, 200 points is 35%, and
300 points is 25%. Find the expected value, E(X), of a roll.
O 185
O 200
O 400
O 150
The expected value, E(x) of the given observation is 185
The expected value is the mean of the overall observed value or random value. In other words, it is the average of the observed values.
The given parameters can be represented as:
[tex]\begin{array}{cccc}x & {100} & {200} & {300} \ \\ P(x) & {40\%} & {35\%} & {25\%} \ \end{array}[/tex]
The following formula calculates the expected value:
[tex]E(x) =\sum x * P(x)[/tex]
So, we have:
[tex]E(x) = 100 * 40\% + 200 * 35\% + 300 * 25\%[/tex]
[tex]E(x) = 40 + 70 + 75[/tex]
[tex]E(x) = 185[/tex]
Learn more about expected values at:
https://brainly.com/question/16726343
Which expression is equivalent to (b^n)m?
Step-by-step explanation:
By the law of exponent :
(a^n)^m=a^n×m
Option C
b^n×m is the correct answer...
hope it helps
if 12 +2 =2 orderly what is 6 +3 orderly
Answer:
3
Step-by-step explanation:
Please Mark me brainliest
Answer:
aren't one of the numbers in the equations supposed to be negative?
The baker bought the buttercream icing from Crave Cupcakes. Calculate how many containers of icing the baker needs to buy in order to ice a wedding cake. Each container of icing contains 16 ounces of icing. If it takes 56 ounces of icing to cover 678 square inches of cake, calculate the total cost for the icing before tax if each 16 ounce(2 cup) container of icing costs $10.
Answer:
$40.
Step-by-step explanation:
You need 4 16oz containers of icing to fully cover the cake. As each container costs $10, and you need 4 containers, the total cost of icing to cover the wedding cake, before tax, is $40.
I need helpppp please I don’t understand this question at alll
Answer:
17000
Step-by-step explanation:
17^1 * 10^3
17 * 10*10*10
17*1000
17000
the answer is 17,000
the exponent shows how many times you multiply the number by itself
here is an image for an explanation
hope I helped ❤
Find the missing length in the image below
Answer:
not similar
Step-by-step explanation:
32/26 = 16/13
18/12 = 3/2
16/13 is not equal to 3/2, so the rectangles are not similar.
Lets check
[tex]\\ \sf\longmapsto \dfrac{32}{18}\boxed{}\dfrac{26}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{16}{9}\boxed{}\dfrac{13}{6}[/tex]
Hence
[tex]\\ \sf\longmapsto \dfrac{16}{9}\neq\dfrac{13}{6}[/tex]
Both rectangles are not similar
A 13-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 8 feet per second, at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the bottom of the ladder is 12 feet from the wall?
Answer:
[tex]\frac{da}{dt}=-95.2m/s^2[/tex]
Step-by-step explanation:
From the question we are told that:
Slant height [tex]h=13ft[/tex]
Velocity [tex]v=\frac{dx}{dt}=8[/tex]
Distance [tex]d=12ft[/tex]
Generally the equation for area is mathematically given by
[tex]A=0.5*x*sqrt(169 - x^2)[/tex]
Differentiating
[tex]\frac{da}{dx}=\frac{169-2 x^2}{(2 sqrt(169-x^2))}[/tex]
Multiplying through by dx/dt
[tex]\frac{da}{dx}*\frac{dx}{dt}=\frac{169-2 x^2}{(2 \sqrt{169-x^2})}*\frac{dx}{dt}[/tex]
[tex]\frac{da}{dt}=\frac{169-2x^2}{(2 \sqrt{169-x^2})}*\frac{dx}{dt}[/tex]
[tex]\frac{da}{dt}=\frac{169-(2*12^{2})}{2*\sqrt{(169-12^{2})}}*8[/tex]
[tex]\frac{da}{dt}=-95.2m/s^2[/tex]
Find the area AND perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
a=40+8pi, p=4pi+4(sqrt of 29)
Step-by-step explanation:
rsm geometry class 122?
A credit card advertises an annual interest rate of 23%.
What is the equivalent monthly interest rate?
Given:
A credit card advertises an annual interest rate of 23%.
To find:
The equivalent monthly interest rate.
Solution:
We know that,
1 year = 12 months
It is given that, the credit card advertises an annual interest rate of 23%. So, the equivalent monthly interest rate is:
[tex]\dfrac{23\%}{12}=1\dfrac{11}{12}\%[/tex]
[tex]\dfrac{23\%}{12}\approx 1.9167\%[/tex]
Therefore, the equivalent monthly interest rate is [tex]1\dfrac{11}{12}\%[/tex] and the approximate equivalent monthly interest rate is 1.9167%.
In what quadrant would the triangle be if rotated 90 degrees
I strongly believe the answer is 2, if it isnt that it must be 3.
"Rotated around the origin", as the question actually says, puts it in Quadrant-II (2).
But the way you put the question, just saying the triangle is rotated 90°, leaves it right where it is, in Quadrant-I, with vertex-H on the bottom.
Find the length of the other two side of the isosceles right triangle
Answer:
The other two sides are 7 units each.
Step-by-step explanation:
The triangle is isosceles.
The sides are in the ratio of
[tex]x : x : x \sqrt{2}[/tex]
The hypotenuse is
[tex]7\sqrt{2}=x \sqrt{2}\\\\x = 7[/tex]
So, the other two sides are 7 units each.
I need help please if you know help me with this, thanks
Answer:
B
note: in most cases (6x-3)[tex]\sqrt{2 }[/tex] would be the way people simplify this
Step-by-step explanation:
Answer:
Option B, 6x√2 - 3√2
Step-by-step explanation:
5x√2 - 3√2 + x√2
= x√2(5+1) - 3√2
= 6x√2 - 3√2
Answered by GAUTHMATH
Two angles of a triangle have the same measure and the third one is 57 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
x+x+x+39=180 degrees. (The sum of the angles of a triangle is 180.)
Combine like terms:
3x+39=180
Solve for X
3x+39-39=180-39
3x=141
3x÷3=141÷3
x=47
The largest angle equals 47+39=86.
Now lets check it 47+47+86=180.