Answer:
x=45
Step-by-step explanation:
30/x = 54/81
30 = 54/81(x)
x = 30 ÷ 54/81
x=45
Answer:
x = 45
Step-by-step explanation:
30/x = 54/81
~Cross multiply
30 * 81 = 54 * x
~Simplify
2430 = 54x
~Divide 54 to both sides
45 = x
Best of Luck!
To form a hyperbola what is the relationship between the base of the cone and the angle of the plane that intersects the cone
A. The plane is a parallel to the base of the cone
B. The plane may be perpendicular to the base of the cone
C. the plane must be at a 45 degree angle to the base of the cone
D. The plane is at an angle that is neither parallel nor perpendicular to the base of the cone
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 69 stocks traded on the NYSE that day showed that 31 went up. You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of α = 0.05 α = 0.05 . What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α α greater than α α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3. There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3. The sample data support the claim that the proportion of stocks that went up is more than 0.3. There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is more than 0.3.
Testing the hypothesis, it is found that:
The test statistic is 2.71.The p-value is 0.0034.The p-value is less than [tex]\alpha[/tex]The test statistic leads to a decision to reject the null hypothesis.The sample data support the claim that the proportion of stocks that went up is more than 0.3.At the null hypothesis, we test if the proportion of stocks that went up is of 0.3, that is:
[tex]H_0: p = 0.3[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 0.3, that is:
[tex]H_1: p > 0.3[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.3, n = 69, \overline{p} = \frac{31}{69} = 0.4493[/tex]
The value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4493 - 0.3}{\sqrt{\frac{0.3(0.7)}{69}}}[/tex]
[tex]z = 2.71[/tex]
The test statistic is 2.71.
The p-value is the probability of finding a sample proportion of 0.4493 or above, hence, it is 1 subtracted by the p-value of z = 2.71.
Looking at the z-table, z = 2.71 has a p-value of 0.9966.
1 - 0.9966 = 0.0034
The p-value is 0.0034.
Which is less than [tex]\alpha[/tex], and then the test statistic leads to a decision to reject the null hypothesis, and thus:
The sample data support the claim that the proportion of stocks that went up is more than 0.3.
A similar problem is given at https://brainly.com/question/25413788
(x + 1)(x + 2)(x + 1)(3x + 2)
Answer:
Is it the full question I mean what does it want next anyway?
But here's your answer :
3x^4 + 14x^3 + 23x^2 + 16x + 4
The angles in a triangle are
such that one angle is twice the
smallest angle, while the third
angle is three times as large as the
smallest angle. Find the measures
of all three angles.
Answer:
30, 60, and 90
Step-by-step explanation:
Let x be the Angle 1
2x is Angle 2
3x is Angle 3
x + 2x + 3x = 180
6x = 180
x = 30 degrees
2x = 60 degrees
3x = 90 degrees
Solve for the value of n
Answer:
n = 8
Step-by-step explanation:
Both given angles are verticale angles therefore they are congruent, so;
9n = 8n + 8
(9n - 8n) = 8
n = 8
Hope this helps!
The second term of an arithmetic sequence is –5, and the third term is –20. What is the first term?
Answer:
a₁ = 10
Step-by-step explanation:
The common difference d is calculated as
d = a₃ - a₂ = - 20 - (- 5) = - 20 + 5 = - 15
Then
a₂ - a₁ = d , that is
- 5 - a₁ = - 15 ( add 5 to both sides )
- a₁ = - 10 ( multiply both sides by - 1 )
a₁ = 10
In the diagram below segment AC is congruent to segment CE and segment BC is congruent to segment DC.
Why is triangle BCA congruent to triangle DCE?
See picture for full problem. Please and thank you!
Step-by-step explanation:
By reflection
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Find the value of Y - triangle measurments
PLEASE HELP! I WILL GIVE BRAINLIEST!
Answer:
y=8
Step-by-step explanation:
6y=8y-16
-2y=-16
y-8
congurnet side have congruen angles
[tex]\\ \sf\longmapsto <N=<P[/tex]
[tex]\\ \sf\longmapsto 6y=8y-16[/tex]
[tex]\\ \sf\longmapsto 8y-6y=16[/tex]
[tex]\\ \sf\longmapsto 2y=16[/tex]
[tex]\\ \sf\longmapsto y=8[/tex]
The quotient of a number, divided by 3, equals-8
Answer:
x / 3 = -8
Step-by-step explanation:
Pamela's age is two times Jiri's age. The sum of their ages is 33. What is Jiri's age?
please please help
Answer:
Let Jiri's age be as 'x'
Therefore, Pamela's would be 2x
Since the addition of both is 72, the equation formed would be..
2x+ x =72
3x =72
x= 72÷3
x = 24 years.
Therefore, Jiri's age is 24 and Pamela's is twice of Jiri ie 48 years.
Which equation represents a line that passes through (-9, -3) and has a slope of -6? - = y-9 = -6(x-3) y + 9 = -6(x + 3) y-3 = -6(x-9) O y + 3 = -6(x + 9) = x
Answer:
(y+3)=−6(x+9) ( y + 3 ) = − 6 ( x + 9 )
Step-by-step explanation:
How to find derivative of a curved graph.
Which expression is equivalent to 7/8
A: 5/8 + 2/8 + 1/8
B: 3/8 + 3/8 + 1/8 +1/8
C: 4/8 + 2/8 + 1/8
D: 4/8 + 2/8 + 2/8
C:4/8+2/8+1/8
brainlist me please
what is the solution to the equation 1/2a=7
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{\dfrac{1}{2}a = 7}}\\\\\large\text{MULTIPLY 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{2\times\dfrac{1}{2}a= 2\times7}}\\\\\large\text{CANCEL out: }\rm{2\times\dfrac{1}{2}}\large\text{ because it gives you 1.}\\\large\text{KEEP: }\rm{2\times7}\large\text{ because it helps you get your a-value}\\\\\large\boxed{\mathsf{a = 2\times7}}\\\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{a = 14}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{a = 14}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round
your answer to the nearest thousandth.
Answer:
376.991 cm²
Step-by-step explanation:
[tex]SA_{cylinder} = 2\pi r^{2} + 2\pi rh[/tex]
Surface Area = 2π(5²) + 2π(5)(7)
= 50π + 70π
= 120π
= 376.9911184... ≈ 376.991
Derive Surface Area of A CylinderIf you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle
The formula for the area of a circle = πr², and since there are 2, it is 2πr²
The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh
∴ 2πr² + 2πrh
please answer fats i need it hurry
Answer:
78 inStep-by-step explanation:
26 * 3 = 78 in
Find the perimeter. Simplify your answer.
Answer:
Perimeter = 24p + 17
Step-by-step explanation:
Perimeter = the sum of the sides of the figure.
Perimeter = (7p + 9) + (10p - 1) + (7p + 9)
Perimeter = (7p + 10p + 7p) + (9 - 1 + 9)
Perimeter = 24p + 17
Answer:
24p+17
Step-by-step explanation:
Perimeter of triangle = 2(7p+9)+(10p-1)
= 14p+18+10p-1
= 24p+17
Find the measures of angles x and y in the figure.
Answer:
x = y = 60°
Step-by-step explanation:
The angle adjacent to 120° inside the triangle is
180° - 120° = 60°
The triangle is isosceles ( 2 congruent legs ) with the 2 base angles being congruent , then
y = 60°
The vertex of the triangle = 180° - (60 + 60)° = 180° - 120° = 60°
x is vertically opposite the vertex and is congruent , so
x = 60°
Please help me, If you do not know do not answer
Answers:
FunctionFunctionNot a functionNot a function=================================================
Explanation:
Relation 1 is a function because any input item in the domain leads to exactly one and only one output item in the range. If we had say 2 arrows coming from "chair", and pointing to two different outputs, then we wouldn't have a function. It's perfectly possible to use words in place of numbers when talking about functions. All that matters is that we have one input map to exactly one output. Relation 2 is a function for similar reasoning as relation 1. It's possible to have an output repeated and still have a function. Relation 3 is not a function. Why not? Because of the points (j,v) and (j,t). The input j leads to more than output (v and t at the same time). A similar issue happens with the input 's' also.Relation 4 is also not a function. The repeated input this time is -5 which maps to the outputs z and 'a' at the same time.Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why triangle JKL triangle QRS?
Check all that apply.
A. LA
B. LL
C. SAS
D. HL
E SSS
F HA
Answer:SAS, HL, LL, SSS
Step-by-step explanation:
just did it
Which points are located on the y-axis? Check all that apply. (0, 3) (4, 0) (9, 0) (0, 11) (14, 0)
Answer:
(0,3) and (0,11)
Step-by-step explanation:
A tip for next time is that if the "0" is first, then it is the y-axis. And if the "0" is second, it is the x-axis.
find the value of x and y
Answer:
x = 60
y = 30
Step-by-step explanation:
We know that all triangles' interior angles combined must have a sum of 180.
Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.
Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:
90 - 60 = y
90 - 60 = 30
y = 30
Now that we know the value of y, it's time to find the value of x.
We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).
Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:
180 - (90 + y) = x
180 - (90 + 30) = x
180 - 120 = x
180 - 120 = 60
x = 60
This gives us the answers y = 30 and x = 60
A function is described by the equation
f(x) = 3x – 4. If f(x) = 26, what is the
value of x?
A bakery can make 4 cheesecakes for every 5 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses?
Answer:
where is the picture of the tables?
Step-by-step explanation:
What are Multiple Representations
Answer:
Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity
Answer:
Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate different mathematical features of the same object or operation, as well as connections between different properties.
Nadia is a stockbroker. She earns 11% commission each week. Last week, she sold $5300 worth of stocks. How much did she make last week in commission? If averages that same amount each week, how much did she make in commission in 2011?
pls answer fast, 25 points to earn
Answer:
a. $ 583
b. $ 30,316
Step-by-step explanation:
a). 0.11 * 5,300= $ 583 per week( commission )
b). In 2011, 52 weeks.
52* 583 =$ 30,316
Will mark brainliest
Answer:
27
Step-by-step explanation:
if i make 6000 dollars per 5.6 hours how much will I make in total in 24 hours
Answer:
About $25,714.29
Step-by-step explanation:
Divide 6000 by 5.6 to get dollar per hour rate:
6000/5.6 = 1071.43 dollars per hour
Multiply by 24:
1071.42857 * 24 = 25714.29 dollars
About $25,714.29
Find the slope between (6,1) and (3,7)
Answer:
?
Step-by-step explanation:
Answer: m = -2
Step-by-step explanation: m = slope
Alecia runs the air conditioner im her home when it id hot outside. She uses the equation C = 0.01m to determine the cost , C , in dollars , to run the air conditioner for m minutes . According to the question what is the cost per minute of running alecia’s air conditioner?
The cost per minute is an illustration of proportionality constant.
The cost per minute is of running Alecia's air conditioner is $0.01
The cost function is given as:
[tex]\mathbf{C(m) = 0.01m}[/tex]
Where C represents the cost, and m represents the number of minutes
A proportional relationship is represented as:
[tex]\mathbf{y =kx}[/tex]
Where k represents the constant of proportion.
So, by comparison:
[tex]\mathbf{k = 0.01}[/tex]
In this case, the proportionality constant is the same as the cost per minute.
Hence, the cost per minute is $0.01
Read more about proportionality constant at:
https://brainly.com/question/18707816