Answer:
2,044
Step-by-step explanation:
S9=G1 (1r^n)/1-r
G9=G1r^8, r=2
S9=(4)(-511)/-1=2,044
Answer: 2,044
Step-by-step explanation:
I just took the quiz!
A 1994 Time magazine survey of 507 randomly selected
adult Catholics in the United States found that 59% answered yes to the
the question “Do you support allowing women to become priests?” Suppose
someone wants to claim that more than 55% of adult Catholics in the United
States are in favor of allowing women to become priests.
is this based on one sample or two samples?
is this a one-tailed or a two-tailed test?
What is the p-value?
From the test the parson wants, and the sample data, we build the test hypothesis and find the p-value.
Suppose someone wants to claim that more than 55% of adult Catholics in the United States are in favor of allowing women to become priests.
At the null hypothesis, it is tested that the proportion is of at most 55%, that is:
[tex]H_0: p \leq 0.55[/tex]
At the alternative hypothesis, it is tested that the proportion is of more than 55%, that is:
[tex]H_1: p > 0.55[/tex]
Since we are testing only one proportion, it is a one-sample test. Since we are testing only if the proportion is higher/lower, in this case higher, than a value, it is a one-tailed test.
P-value:
To find the p-value of the test, we first have to find the test statistic.
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the nu
0.55 is tested at the null hypothesis:
This means that [tex]\mu = 0.55, \sigma = \sqrt{0.55*0.45}[/tex]
From the sample:
Survey of 507, 59% answer yes, thus: [tex]n = 507, X = 0.59[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.59 - 0.55}{\frac{\sqrt{0.55*0.45}}{\sqrt{507}}}[/tex]
[tex]z = 1.81[/tex]
P-value from the test statistic:
The p-value of the test is the probability of finding a sample proportion above 1.81, which is 1 subtracted by the p-value of z = 1.81.
Looking at the z-table, z = 1.81 has a p-value of 0.9649.
1 - 0.9649 = 0.0351.
Thus, the p-value of the test is of 0.0351.
For another example of a similar problem, you can check https://brainly.com/question/24166849
Write in words how we would say the following
3 square
Answer:
Three to the second power
Step-by-step explanation:
Hey there!
3 square
Can be written as the following,
Three to the second power
Hope this helps :)
Why is 12 * 10-8 is NOT a correct representation of scientific notation?
Answer:
see below
Step-by-step explanation:
Scientific notation is a * 10 ^b
a must be a number between 1 ( including 1 ) and less than 10
12 is greater than 10 so it is not scientific notation
True or False. The statistician should use Printout C to perform a t-test on the GROUP variable in the regression model. g
Answer:
False
Step-by-step explanation:
Regression model is a set of statistical process which estimates the relationship between two variables. The one variable is dependent variable and the other is independent variable. The statistician should not use printout C to perform a t-test in regression model.
HELP :Write the expression as the
sine or cosine of an angle.
Answer:
sin(4π/21)
Step-by-step explanation:
Step 1: Rearrange expression
sin(π/3)cos(π/7) - cos(π/3)sin(π/7)
Step 2: Use sin(A ± B)
sin(π/3 - π/7)
Step 3: Evaluate
sin(4π/21)
And we have our answer!
What is the number of 20% of 40
Answer:
8
Step-by-step explanation:
40 x 0.20
= 8
pt 2 4-7 please helppp
Answer:
f = 16
Step-by-step explanation:
8
8 x 2 = _f_ x
8
f = 16
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------
Answer: f = 16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]2 = \frac{f}{8}[/tex]
Multiply both sides by 8.
[tex]2 \times 8 = f[/tex]
Multiply 2 and 8 to get 16.
[tex]16 = f[/tex]
Swap sides so that all variable terms are on the left hand side.
[tex]f = 16[/tex]
Been stuck for 30 mins now please help !!!
Answer:
D) y = 2x + 1
Step-by-step explanation:
Derivatives concept:
Exercises using the definition of derivatives:
(Full development)
(A) f(x) = 7 is constant, so f(x + h) = 7, too, which makes f(x + h) - f(x) = 0. So f'(x) = 0.
(B) f(x) = 5x + 1 ==> f(x + h) = 5 (x + h) + 1 = 5x + 5h + 1
==> f(x + h) - f(x) = 5h
Then
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{5h}h = \lim_{h\to0}5 = 5[/tex]
(C) f(x) = x ² + 3 ==> f(x + h) = (x + h)² + 3 = x ² + 2xh + h ² + 3
==> f(x + h) - f(x) = 2xh + h ²
[tex]\implies\displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2}h = \lim_{h\to0}(2x+h) = 2x[/tex]
(D) f(x) = x ² + 4x - 1 ==> f(x + h) = (x + h)² + 4 (x + h) - 1 = x ² + 2xh + h ² + 4x + 4h - 1
==> f(x + h) - f(x) = 2xh + h ² + 4h
[tex]\implies \displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2+4h}h = \lim_{h\to0}(2x+h+4) = 2x+4[/tex]
simplify the following expression
6a^4c+8ac^2-4a^4c-15-10ac^2
Answer:
2a^4c-2ac^2-15
Step-by-step explanation:
Sorry, I not sure if this is right or not cause I don't know if the exponent for -4a^4c is that or -4a^4c-15, but I'm just going to go with -4a^4c. However aside from that you just combine like terms.
Answer:
[tex]2a^4c-2ac^2-15[/tex]
Step-by-step explanation:
[tex]6a^4c+8ac^2-4a^4c-15-10ac^2[/tex]
We need to organize this expression into groups of like terms, so we can combine them easier. There are 2 groups of like terms,
[tex]6a^4c-4a^4c[/tex] and [tex]8ac^2-10ac^2[/tex]
[tex]6a^4c-4a^4c+8ac^2-10ac^2-15[/tex]
Add similar elements:
[tex]2a^4c+8ac^2-10ac^2-15[/tex]
Add, [tex]8ac^2-10ac^2=-2ac^2[/tex]
[tex]=2a^4c-2ac^2-15[/tex]
OAmalOHopeO
Write the first 4 terms of the arithmetic sequence. The first term is - 1 and the
common difference is 3.
Answer:
-1, 2,5,8
Step-by-step explanation:
nth term =a+(n-1) *d
-1+(n-1) *3
-1+3n-3
3n-4
t2 =3*2-4
6-4
2
t3=3*3-4
9-4
5
t4=3*4-4
12-4
8
Let X1 and X2 be independent random variables. Suppose the mean and variance of X1 are 1 and 1, respectively. Suppose, the mean and variance of X2 are 4 and 8 respectively. What is the standard deviation of X2 - 3X1
Since X₁ and X₂ are independent, we have
Var[X₂ - 3X₁] = Var[X₂] + (-3)² Var[X₁]
Var[X₂ - 3X₁] = 8 + 9 × 1
Var[X₂ - 3X₁] = 17
Then the standard deviation of X₂ - 3X₁ is the square root of the variance, √17.
Solve for x^2=18
Please help
Which paper folding method can be used to form a perpendicular line segment
Answer:
Begin with a line segment on the paper and fold the paper so that the segment's endpoints lie on top of each other
raise the difference of q and 5 to the 3rd power
write as an expression
Answer:
(q-5)³
Step-by-step explanation:
the difference of q and 5 is written as q - 5
Then you add an exponent with the digit 3
(q-5)³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 80 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 20°. How far away from the building is the sculpture? Round your answer to the nearest hundredth.
Answer:
219.80 feet
Step-by-step explanation:
Tan 20= 80/b
Tan 20= 0.363970234266
(0.363970234266)b=80
b= 219.80 feet
The distance between the sculpture and the bottom of the building is required.
The distance between the building and sculpture is 219.80 feet.
Trigonometry[tex]\theta[/tex] = Angle of depression = Angle of elevation = [tex]20^{\circ}[/tex]
p = Height of building = 80 feet
b = Required length
From the trigonometric ratios we have
[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow b=\dfrac{p}{\tan\theta}\\\Rightarrow b=\dfrac{80}{\tan 20}\\\Rightarrow b=219.80\ \text{feet}[/tex]
Learn more about trigonometry:
https://brainly.com/question/23899312
PLZZZZZZZZZZZZZZ HELP I WILL GIVE BRAINLIEST TO THE FIRST TO ANSWER
Answer:
B
Step-by-step explanation:
-(-a)/b = a/b
Option A is not equal to a/b
But Option B is, after cancelling out the negative sign
Answer:
[tex]\large \boxed{ \mathrm{B.} \ - \frac{a}{-b} }[/tex]
Step-by-step explanation:
[tex]\displaystyle -\frac{-a}{b} =-(- \frac{a}{b} ) = \frac{a}{b}[/tex]
The first option is not equivalent to a/b.
[tex]\displaystyle \frac{a}{-b}\neq \frac{a}{b}[/tex]
The second option is equivalent to a/b.
[tex]\displaystyle -\frac{a}{-b} =\frac{-a}{-b} = \frac{a}{b}[/tex]
The capacity of a small container is 380 ml. and the capacity of a big container is 1250 ml. If Akash uses 8 small containers and 1 big container to fill up an empty tank, then what is the capacity of the tank? With statements
Answer:
3290 ml
Step-by-step explanation:
he fills into the tank 8×380 ml and 1×1250ml.
that is all there is to it.
so,
capacity tank = 8×380 + 1250 = 3040 + 1250 = 3290 ml
Write an equation showing the relationship between the lengths of the three sides of a right triangle.
Answer:
Below
Step-by-step explanation:
First triangle)
This triangle is a right one so we will apply the pythagorian theorem.
● 25 is the hypotenus
● 25^2 = b^2 + 24^2
■■■■■■■■■■■■■■■■■■■■■■■■■■
Seconde triangle)
Again it's a right triangle
x is the hypotenus.
● x^2 = 12^2 +5^2
● 12^2 = x^2-5^2
■■■■■■■■■■■■■■■■■■■■■■■■■■
This is a right triangle
AC is the hypotenus.
● AC^2 = BC^2 + BA^2
Notice that: BC = BE+EC and BA=BD+DA
● AC^2 = (BE+EC)^2 + (BD+DA)^2
Answer: 2) b = 7 3) x = [tex]\sqrt{119}[/tex]
Step-by-step explanation:
Use Pythagorean Theorem: (leg₁)² + (leg₂)² = hypotenuse²
2) b² + 24² = 25²
b² + 576 = 625
b² = 49
[tex]\sqrt{b^2}=\sqrt{49}[/tex]
b = 7
3) 5² + x² = 12²
25 + x² = 144
x² = 119
[tex]\sqrt{x^2}=\sqrt{119}[/tex]
[tex]x=\sqrt{119}[/tex]
32 x 42 is equal to how much
Answer:
1,344
Step-by-step explanation:
Hope i am marked as brainliest answer
Maya must choose a number between 67 and 113 that is a multiple of 3, 5, and 10. Write all the numbers that she could choose. If
there is more than one number, separate them with commas.
The number which is a multiple of 3,5 and 10 is 90
Find the slope of the line that passes through the points (1, 2) and (-4, 2).
Answer:
0
Step-by-step explanation:
We can find the slope using the slope formula
m = (y2-y1)/(x2-x1)
= ( 2-2)/(-4 -1)
= 0/-5
=0
━━━━━━━☆☆━━━━━━━
▹ Answer
Slope = 0
▹ Step-by-Step Explanation
[tex]Slope = \frac{y2 - y1}{x2 - x1} \\\\Slope = \frac{2 - 2}{-4 - 1} \\\\= \frac{0}{-5} \\\\= 0[/tex]
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
A box is dragged across 20 meters with a force of 60 Newtons, which are kg*m/s^2
Answer:
Mass= 6kg
Acceleration= 10 ms^-2
Work done = 1200Nm
Step-by-step explanation:
kg*m/s^2 represent the force.
The kg represent the mass
The m/s^2 represent the acceleration
The acceleration here will be due to gravity force= 10 ms^-2
Then the mass= 60/10
Mass= 6 kg
The force = 60 Newton
Distance covered in the direction of the the force= 20 Meters
The work done in the direction of the force= force* distance
The work done in the direction of the force=60*20
The work done in the direction of the force=1200 Nm
Answer: 20 • 60
Step-by-step explanation:
Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 2, −5 is the only other zero, leading coefficient is 3.
Answer:
Step-by-step explanation:
Hello, just apply the instructions as below.
[tex]3(x-2)^2(x+5)^3[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Michelle would like to know how much of her loan payments will go toward interest. She has a $124,500 loan with a 5.9% interest rate that is compounded monthly. The loan has a term of 10 years. Calculate the total amount of interest that Michelle will pay over the course of the loan.
9514 1404 393
Answer:
$40,615.20
Step-by-step explanation:
The amortization formula will tell you Michelle's monthly payment.
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . loan value P at interest rate r for t years
A = $124,500(0.059/12)/(1 -(1 +0.059/12)^(-12·10)) ≈ $1375.96
__
The total of Michelle's 120 monthly payments is ...
12 × $1375.96 = $165,115.20
This amount pays both principal and interest, so the amount of interest she pays is ...
$165,115.20 -124,500 = $40,615.20
Michelle will pay $40,615.20 in interest over the course of the loan.
__
A calculator or spreadsheet can figure this quickly.
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.966 grams and a standard deviation of 0.315 grams. Find the probability of randomly selecting a cigarette with 0.305 grams of nicotine or less.
Answer:
The probability is [tex]P(X \le 0.305 ) = 0.01795[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 0.966 \ grams[/tex]
The standard deviation is [tex]\sigma = 0.315 \ grams[/tex]
Given that the amounts of nicotine in a certain brand of cigarette are normally distributed
Then the probability of randomly selecting a cigarette with 0.305 grams of nicotine or less is mathematically represented as
[tex]P(X \le 0.305 ) = 1 - P(X > 0.305) = 1 - P(\frac{X - \mu }{\sigma } > \frac{0.305 - \mu }{\sigma } )[/tex]
Generally
[tex]\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of X )[/tex]
So
[tex]P(X \le 0.305 ) = 1 - P(X > 0.305) = 1 - P(Z > \frac{0.305 - 0.966 }{0.315} )[/tex]
[tex]P(X \le 0.305 ) = 1 - P(X > 0.305) = 1 - P(Z >-2.0984 )[/tex]
From the z-table(reference calculator dot net ) value of [tex]P(Z >-2.0984 ) =0.98205[/tex]
So
[tex]P(X \le 0.305 ) = 1 - P(X > 0.305) = 1 - 0.98205[/tex]
=> [tex]P(X \le 0.305 ) = 1 - P(X > 0.305) = 0.01795[/tex]
=> [tex]P(X \le 0.305 ) = 0.01795[/tex]
will give someone a brainlyest pls help! thank you
Answer:
D.
Step-by-step explanation:
5/4=1.25, -2[tex]\sqrt{2}[/tex] = -2.828
Therefore,
1.25 (5/4), 1.04, -0.34, -2.828 (-2[tex]\sqrt{2}[/tex]), -17
which of the following is equal to the square root of 27/16
Answer:
Step-by-step explanation:
Prime factorize 27 and 16
27 = 3 * 3 * 3
16 = 2 * 2 * 2 * 2
[tex]\frac{\sqrt{27}}{\sqrt{16}}=\frac{\sqrt{3*3*3}}{\sqrt{2*2*2*2}}[/tex]
[tex]= \frac{3\sqrt{3}}{2*2}\\\\\\=\frac{3\sqrt{3}}{4}[/tex]
Answer: (3√3)/4
Explanation:
√(27/16)
=(3√3)/4
Because 27 = 3²×3
And 16 = 4²
So 4 is left and one 3 goes out and one stays in
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If 2 x 2 + 13 x − 7 = 0 , then x could equal which of the following?
Hi there! :)
Answer:
x = 1/2 or -7.
Step-by-step explanation:
(I'm assuming the expression is 2x² + 13x - 7 = 0)
Factor the equation to solve for the possible values of "x":
2x² + 13x - 7 = 0
When factored, we get:
(2x - 1) ( x + 7) = 0
Use the Zero-Product property to solve for the roots:
2x - 1 = 0
2x = 1
x = 1/2.
-----------
x + 7 = 0
x = -7.
Therefore, possible values of x are x = -1/2, 7.
Answer:
x = 1/2 x=-7
Step-by-step explanation:
2 x^2 + 13 x − 7 = 0
Factor
(2x-1)(x+7)=0
Using the zero product property
2x-1 =0 x+7=0
2x=1 x =-7
x = 1/2 x=-7
The probability that there will be a tornado in Tulsa, Oklahoma, each day of the summer depends on the humidity of the day in question. If the air is dry on a given day, there is a 0.5 percent chance of a tornado in Tulsa, if the air is humid on that day. there is a 5 percent chance of a tomado. On July 1, 2019, local news reported that there was 40 percent chance of the air being humid. What is the probability that there was a
tornado in Tulsa on July 1, 2019?
a) 0.003
B) 0.020
C)0.023
D) 0.040
E) 0.060
We solve this question building the probabilities outcomes.
According to this, it is found that the probability is: 0.023, given by option C.
The probabilities are:
40% = 0.4 probability of the air being humid.If humid, 5% = 0.05 probability of a tornado.100 - 40 = 60% = 0.6 probability of the air being dry.If dry, 0.5% = 0.005 probability of a tornado.What is the probability that there was a tornado in Tulsa on July 1, 2019?
Two possible outcomes:
0.05 of 0.4(humid)0.005 of 0.6(dry)Thus:
[tex]p = 0.05\times0.4 + 0.005\times0.6 = 0.023[/tex]
0.023 probability, and the correct answer is given by option C.
A similar problem is given at: https://brainly.com/question/16967884