9514 1404 393
Answer:
6.9
Step-by-step explanation:
The relevant relation is ...
Sin = Opposite/Hypotenuse
Substituting given values, we have ...
sin(35°) = x/12
x = 12·sin(35°) ≈ 6.883
The value of x is about 6.9.
I need help please don’t scam or no brainlist
Allen buys the same number of baseball cards each month to add to a card collection he was given. Use the table to determine how many baseball cards he was given and how many he buys each month.
Answer:
H.
Step-by-step explanation:
I believe this is the answer because when you look at the problem and see the rate of change pattern months go +2 , +3, +2, and +3. Then when you look at the cards rate of change 80-44=36, so +36 then 104-80=24, so +24. as you can see when you subtract the rates if change between the cards (36-24), you get 12. Therefore y=12x. next you go along with the pattern and find the y-intercept by doing 44-24=20. Sorry it is kinda hard to explain, but hope this helps!
Allen was given 20 cards , and he buys 12 cards each month
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Let the number of cards be y
Let the number of months be x
Let the first point be P ( 5 , 80 )
Let the second point be Q ( 7 , 104 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 104 - 80 ) / ( 7 - 5 )
m = 24 / 2
m = 12 cards per month
So , the equation of line is y - y₁ = m ( x - x₁ )
y - 80 = 12 ( x - 5 )
Adding 80 on both sides , we get
y = 12x + 20
So , when x = 0
y = 20 cards in the initial month
Hence , the equation of line is y = 12x + 20 and Allen has 20 cards in his initial month
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The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
1. State the null and alternative hypotheses for the test.
2. Compute the value of the test statistic.
3. Draw a conclusion and interpret the decision.
Answer:
H0 : μ = 4.50
H1 : μ > 4.50
Test statistic = 1.525
we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.
Step-by-step explanation:
H0 : μ = 4.50
H1 : μ > 4.50
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(4.94 - 4.50) ÷ 2.10/ sqrt(53)
0.44 / 2.10/ sqrt(53)
= 1.525
α = 1 - 98% = 0.02
Decision region :
Reject H0 ; if Pvalue < α
Pvalue = p(Z < 1.525) = 0.936
Pvalue = 0.936
Since Pvalue > α ; We fail to reject H0
Hence, we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.
2 A line passes through the point (9,-8) and has a slope of 3 ving Write an equation in point-slope form for this line.
Answer:
y=3x-35
Step-by-step explanation:
y=ax+c
a=slope=3; x and y are given, 9 and -8. put into the formula and solve for c.
-8=9*3+c
-35=c
y=3x-35
x = 8 – 2y
x + 3y = 12
9514 1404 393
Answer:
(x, y) = (0, 4)
Step-by-step explanation:
Since we have an expression for x, substitution works nicely.
(8 -2y) +3y = 12 . . . . . . use the first equation to substitute for x in the 2nd
y = 4 . . . . . . . . . . . . subtract 8, collect terms
x = 8 -2(4) = 0 . . . . substitute for y in the first equation
The solution is (x, y) = (0, 4).
-4x+3x<4 what is the awenswer to this equation
Answer:
X > -4
Step-by-step explanation:
Collect the like terms which literally leaves you with -x<4
Then just changes the signs, hence the answer.
Please mark brainliest!
Please help me!! It’s a test!!
A carbon filter is used by a scientist to filter out small particles of soil and rocks from
a water sample taken from a stream. The exponential function F(x) = 500(0.35) can
be used to model the function. Which of the following could be represented by the
value 500 in the function rule?
Answer:
The number of particles of soil and rock particles found in the water.
Step-by-step explanation:
Since we are filtering out small particles of soil and rocks, then we can assume that they are being reduced greatly with each filter. So we can assume that since the 500 is being reduced by 65%, then the 500 is the only other thig being reduced, which in this case is the particles of soil and rocks.
Please help, only if you know though thank you
Yesterday, there were 30 problems assigned for math homework. Nancy did 10% of them correctly. How many problems did Nancy get wrong?
1.) 5
2.) 10
3.) 20
4.)27
Answer:
i dont know if this is right but im pretty sure its 5
Step-by-step explanation:
Answer:
4.) 27
Step-by-step explanation:
Just take 30 and - 10% = 27
Because you are looking for the wrong one so you always have to see how many it was before and how many it was after. Sometimes you can minus the number and then that's the answer you get from minusing
A map's scale is 1 inch : 3.5 miles.
If the distance on the map is
8 inches, then the actual distance
in real life is miles.
Answer:
28
Step-by-step explanation:
1 in.=3.5
so 8×3.5=28
so it is 28 miles
I am doing this test and I need questions questions ASAP I will give brainiest to whoever answers it correctly
Answer:
The correct answer there is the first option
Oriole Rental Company provided the following information to its auditors. For the year ended March 31, 2017, the company had revenues of $876,223, general and administrative expenses of $352,479, depreciation expenses of $131,455, leasing expenses of $108,195, and interest expenses equal to $78,122. If the company's average tax rate is 34 percent, what is the cash flow from operating activity for Oriole Rental? (Round intermediate calculations and final answer to the nearest whole dollar, e.g. 5,275.) Cash flow from operation
Answer:
the cash flow from operation is $267,397
Step-by-step explanation:
Given that
Revenues be $876,223
General and admin expense $352,479
Depreciation expense $131,455
Leasing expense $108,195
Interest expense $78,122
Tax rate is 34%
We need to find out the cash flow from operation
As we know that
Cash flow from operation = (Revenue - general & admin expense - depreciation - leasing - interest) × (1 - tax rate) + depreciation
= ($876,223 - $352,479 - $131,455 - $108,195 - $78,122) × (1 - 0.34) + $131,455
= $205,972 × (1 - 0.34) + $131,455
= $267,397
Hence, the cash flow from operation is $267,397
What is the Place value of 3.35
Answer:
3.35 = (3 * 100) + (3 * 1/101) + (5 * 1/102)
3.35 = (3 * 1) + (3 * 1/10) + (5 * 1/100)
3.35 = 3 + 3/10 + 5/100
3.35 = 3 + 0.3 + 0.05
Without using your calculator work out 1 7/12 + 13/20. Give answer in its simplest from
Answer:
31/15
Step-by-step explanation:
First, find the common multiplier of 20 and 12 (the lowest number that both fractions can be increased to). This is 60 (12 x 5 = 60, 20 x 3 = 60) and adjust the numerators accordingly: multiply 17 by five to get 85, and multiply 13 by three to get 39. Add them up to get 124/60, and then simplify - the answer will be 31/15! Hope this helps! Sorry if this was tough to understand, typing off my phone, so feel free to ask any questions :)
Answer:
0.720833
Step-by-step explanation:
First find the LCM of the two fractions
Then add the numerators together
form a single fraction
Lastly cancel the numerator and denominator if possible
Select ALL the correct answers.
Which shapes have the same volume as the given rectangular prism?
8 cm
15cm
base area = 50 cm
Answers
A.) 15cm 5cm height base area 50 cm
B.) 8cm 5cm height base area 50 cm
C.) 24 cm height base area 50 cm
D.) 18 cm 15 cm height base area 50 cm
Answer: I think it’s A the cylinder
Step-by-step explanation:
For PLATO users, the answers are the cylinder and the cone, NOT EITHER OF THE PYRAMIDS!!! Your welcome....
Dogs vary in size a great deal more than cats do. Suppose the mean weight of dogs in a certain city is 28 pounds with a standard deviation of 14 pounds, and the mean weights of cats is 9.5 pounds with a standard deviation of 2 pounds. Cat weights are roughly Normally distributed, but dog weights are skewed right. Suppose you take a random sample of 10 dogs and 8 cats. Which of the following is an accurate description of the center, spread, and shape of the sampling distribution of the difference in the mean weight dogs and the mean weight of cats?
a. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape approximately Normal
b. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape non-Normal
c. Mean = 18.5 pounds, standard deviation - 14.1 pounds, shape approximately Normal
d. Mean = 18.5 pounds, standard deviation = 14.1 pounds, shape non-Normal
e. The difference of means is 18.5 pounds and the shape is non-Normal, but the standard deviation cannot be determined since the sample size is small and the distribution of dog weights is non-Normal.
Answer:
b. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape non-Normal
Step-by-step explanation:
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction of samples:
When two samples are subtracted, we have that the mean is the difference between the means and the standard deviation is the square root of the sum of the variances.
The mean weight of dogs in a certain city is 28 pounds with a standard deviation of 14 pounds. Sample of 10
This means that [tex]\mu_{D} = 28, s_D = \frac{14}{\sqrt{10}} = 4.4272[/tex]
Mean weights of cats is 9.5 pounds with a standard deviation of 2 pounds. Sample of 8.
This means that [tex]\mu_{C} = 9.5, s_{C} = \frac{2}{\sqrt{8}} = 0.7071[/tex]
Which of the following is an accurate description of the center, spread, and shape of the sampling distribution of the difference in the mean weight dogs and the mean weight of cats?
The mean is:
[tex]\mu = \mu_{D} - \mu_{C} = 28 - 9.5 = 18.5[/tex]
The standard deviation(spread) is:
[tex]s = \sqrt{s_{D}^2+s_{C}^2} = \sqrt{4.4272^2+0.7071^2} = 4.48[/tex]
Normal distribution subtracted by non-normal(sample of cats is less than 30, so wont be normal), will be non-normal.
The correct answer is given by option b.
In the following triangle what is the length of the hypotenuse?
Answer:
Hypotenuse: 6
Step-by-step explanation:
Sin45°=(BC/AC)
Sin45°=(3√2/AC
1/√2=3√2/AC
AC=3×2=6
so hypotenuse = 6
hope it helps
have a great day!!
Answer:
6
Step-by-step explanation:
here's your solution
=> sin 45° = perpendicular/hypotenuse
=> sin 45° = 1/√2
=> perpendicular = 3√2
=> 1/√2 = 3√2/hypotenuse
=> Hypotenuse = 3*√2*√2
=> Hypotenuse = 3*2
=>. Hypotenuse = 6
hope it helps
........................
Answer:
.......................................................................................................................
Step-by-step explanation:
nice enjoy this picture of le doggo
I git dune wif this in 3 minits
782+821=___
2x2=___
Answer:
♡♡♡♡♡♡♡♡♡♡♡♡
Step-by-step explanation:
782 + 821 = 1,603
2 x 2 = 4
1
Write the equation of a circle whose center is at (-11,–8) and whose radius is 4.
Answer:
Step-by-step explanation:
[tex](x_c,y_c)=(-11,-8) \quad r=4\\(x-x_c)^2+(y-y_c)^2=r^2 \quad (x+11)^2+(y+8)^2=4^2[/tex]
Divide. Round your answer to the nearest whole number.
what is the volume of the sphere?
Answer:
The formula for the volume of a sphere is V = 4/3 πr³.
Step-by-step explanation:
Surface area of sphere = 4πr2
Volume of a sphere = 4/3 πr3
You only need to know the radius to figure both the volume and surface area of a sphere.
Answers for surface area problems should always be in square units.
Answers for volume problems should always be in cubic units.
3 An expression is shown below
3 +8+4x2 - 12
Place the parenthesis in the expression
so that it has a value of 18.
55 times 4 and time 3 equals what?
Answer:
55 times 4 =220
220 times 3 =660
Rewrite the polynomial 2x2 + x + +-7x + 1 in standard form.
Answer:
x-7x+5
Step-by-step explanation:
4+x-7x+1
x-7x+5
What is the correct expanded form and value of ( 4/5)³ ?
Answer:
its the second one
Step-by-step explanation:
see image below
Lucy buys a greeting card for $4.50 She then buys 5 postcards that all cost the same amount. The total cost is $7.00 How much is each postcard?
Daryl had a $33 credit on his phone bill. He was then
charged $39 for this month's usage. What is his new
balance?
Answer:
6
Step-by-step explanation:
Plato
Please Help i need this done
Answer:
i think u add 2.5 everytime
Step-by-step explanation:
for example start with(0, 2.5) 0n the graph then add 2.5 to 2.5 then keep adding if im wrong srry
Pleaseeeeeeeeeeeeeeeeeeeeeeeee
Answer:
2 terms
Step-by-step explanation:
I hope it will help you