Answer: A = 2500 (1.035)^n
A= $ 4,974.47
Step-by-step explanation:
A=P(1+r)^n
A= Amount
P= Principal
R= rate
N= # of years
A= 2500(1.035)^n
N=20
2500(1.035)^20
A= 4,974.47
Name two angles that are adjacent to ∠ABC.
Answer:
<ABE and <DBC
Step-by-step explanation:
The answers are adjacent to the angle <ABC because of they are vertical angles and share the same vertex point - the B is considered as the vertex or as the midpoint between the values. The angles <ABE and <DBC are congruent to <ABC
∠ABE and <DBC are the two angles that are adjacent to ∠ABC.
What is Coordinate Geometry?Coordinate geometry is defined as the study of geometry using the coordinate points.
An angle is formed when two straight lines or rays meet at a common endpoint.
The two angles are said to be adjacent angles when they share the common vertex and side
B is the common vertex.
The vertex of an angle is the common endpoint of two rays that form the angle.
We need to find the adjacent angles of ∠ABC.
∠ABE and <DBC are the adjacent angles of ∠ABC as they having the same vertex B.
They are vertical angles and share the same vertex point B.
The two angles that are adjacent to ∠ABC are ∠ABE and <DBC are
Hence, ∠ABE and <DBC are the two angles that are adjacent to ∠ABC.
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In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6997 subjects randomly selected from an online group involved with ears. There were 12961296 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.
Answer:
[tex]z=\frac{0.185 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6997}}}=-3.137[/tex]
[tex]p_v =P(z<-3.137)=0.0009[/tex]
Since the p value is very low we have enough evidence to reject the null hypothesis at the significance lvel given of 0.01 so then we can conclude that the return rate ofr this case is significantly lower than 20%
Step-by-step explanation:
Data given
n=6997 represent the random sample taken
X=1296 represent the returned surveys
[tex]\hat p=\frac{1296}{6997}=0.185[/tex] estimated proportion of returned surveys
[tex]p_o=0.2[/tex] is the value that we want to test
z would represent the statistic (variable of interest)
[tex]p_v[/tex] represent the p value (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to test the claim that the true proportion of returned surveys is less than 0.2.:
Null hypothesis:[tex]p\geq 0.2[/tex]
Alternative hypothesis:[tex]p < 0.2[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Calculate the statistic
Since we have all the info required we can replace in formula (1) like this:
[tex]z=\frac{0.185 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6997}}}=-3.137[/tex]
Statistical decision
The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
[tex]p_v =P(z<-3.137)=0.0009[/tex]
Since the p value is very low we have enough evidence to reject the null hypothesis at the significance lvel given of 0.01 so then we can conclude that the return rate ofr this case is significantly lower than 20%
We formulate a null and alternative hypothesis about the survey return rate. Then, given the returned survey and total survey counts, we calculate a sample proportion, standard deviation, and a z-score. Using this z-score, we compute a p-value, which is checked against the given significance level to make a decision about the hypothesis.
Explanation:In this scenario, we are interested in whether the cell phone survey return rate is less than 20%. So we can set our null hypothesis (H0) as: The return rate is 20% or more, and our alternative hypothesis (Ha) as: The return rate is less than 20%.
Given that 12961296 surveys were returned out of 6997, we can compute the sample proportion (p). Then, we calculate the standard deviation (sd) of the sampling distribution of the proportion (assuming H0 is true - i.e., the proportion in the population is 20%).
Using this sd and the sample proportion, we can calculate the z-score. The p-value would be the probability of getting a z-score as extreme as what we got, assuming H0 is true. If the p-value is less than the significance level (0.01), we would reject the null hypothesis. If it's higher, we fail to reject the null.
Note: Due to the likely typographical error in the given number of returned surveys, the precise computation cannot be done here.
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Help me!!! I don’t know nothing about math
Answer:
H.
I am just writing this because it says the answer is too short:)
f(x)= 2x/x+1 use long division to rewrite
Help mee please quickkk asapp
Answer:114% percent of her budget is used to entertain
Step-by-step explanation: You just add up all the money and minus it by 40%
Help me omg i aint paying this money for nothing!!!!!!!!!!! On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 1, negative 3) and (0, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 3) and (1, negative 3). Everything to the right of the line is shaded. A school is planning for an addition in some open space next to the current building. The existing building ends at the origin. The graph represents the system of equations that can be used to define the space for the addition. What is the system of equations that matches the graph? y ≤ 3x y > –2x – 1 y > 3x y ≤ –2x – 1 y < –3x y ≥ 2x – 1 y > –3x y ≤ 2x – 1
Answer:
y ≤ 3x and y > –2x – 1 (close answer)
Step-by-step explanation:
Line pass (-1 , -3) and (0 , 0)
slope = (0 - (-3)) / (0 - (-1)) = 3
y intercept = 0
y = 3x
Everything to the right of the line is shaded: (if include the line) y ≤ 3x
if not include the line and only everything to the right: y < 3x
Line pass (-2 , 3) and (1 , -3)
slope = (-3 - 3) / (1 - (-2)) = -2
y intercept = 3 - ((-2) x (-2)) = -1
y = -2x - 1
Everything to the right of the line is shaded: (if include the line) y ≥ -2x - 1
if not include the line and only everything to the right: y > -2x - 1
in all the options listed, only the first one y ≤ 3x and y > –2x – 1 close to the equation above. But y ≤ 3x must include the line y=3x (noy mentioned in the question above)
And there is a very small triangle in the 3rd quadrant is in the territory of original building. It should be excluded from the addition.
Answer:
im still confused...
Step-by-step explanation:
what is 6x^2+x-12 factored
CORRECT ANSWER WILL GET BRAINLIEST
Answer:
(3x-4)(2x+3)
Step-by-step explanation:
Which equation is equivalent to Two-thirds x minus StartFraction 5 Over 6 EndFraction = negative StartFraction 5 Over 12 EndFraction x + one-fourth?
Negative StartFraction 5 Over 6 EndFraction = one-fourth x + one-fourth
Two-thirds x = negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFraction
One-fourth x minus StartFraction 5 Over 6 EndFraction = one-fourth
Two-thirds x minus StartFraction 13 Over 12 EndFraction = negative StartFraction 5 Over 12 EndFraction x
Answer: D - 2/3 x- 13/12 = -5/12 x
Step-by-step explanation:
The equivalent equation is 'Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFraction'. This is achieved by adding and subtracting appropriate fractions on both sides of the original equation to balance it.
Explanation:The question asks which equation is equivalent to 'Two-thirds x minus StartFraction 5 Over 6 EndFraction equals negative StartFraction 5 Over 12 EndFraction x + one-fourth'. The correct equivalent equation for this is 'Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFraction'.
To find this, take the original equation, and add StartFraction 5 Over 6 EndFraction to both sides which will result in Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x plus one-fourth. Then, subtract one-fourth from both sides, resulting in 'Two-thirds x equals negative StartFraction 5 Over 12 EndFraction x minus StartFraction 7 Over 12 EndFraction'.
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1/8+c=4/5 plzzzzzz i need help
Answer:
c = 27/40
Step-by-step explanation:
1/8+c=4/5
Subtract 1/8 from each side
1/8 - 1/8+c=4/5-1/8
c = 4/5 - 1/8
The common denominator is 40
4/5 *8/8 =32/40
1/8 *5/5 =5/40
c = 32/40-5/40
=27/40
1/8 + c = 4/5
Multiply by common denominator 40=5(8).
5 + 40c =32
40c = 32-5 = 27
c = 27/40
Answer: c = 27/40
What is the definition for "median?"
A
The number that occurs most often in a set.
B
The average of a set of numbers.
C
The middle number of a set when arranged in value order.
D
The difference between the greatest and the least values in a set.
Answer:
C
Step-by-step explanation:
The answer for this question is C I THINK
The right square pyramid represented below has a
base edge of 6 inches and a height of 5 inches.
in
What is the volume in cubic inches of the
pyramid?
HINT: 1. The base is a square, therefore all sides are the same.
2. Multiply all the numbers and then divide by 3 since the formula is V = 1/3 Bh.
Final answer:
The volume of the pyramid can be found using the formula V = (1/3) * B * h, where B is the area of the base and h is the height of the pyramid. Plugging in the given values, the volume is 60 cubic inches.
Explanation:
To find the volume of a square pyramid, you can use the formula V = (1/3) * B * h, where V represents the volume, B represents the area of the base, and h represents the height of the pyramid.
In this case, the base is a square, so the area of the base is side * side. Since the base edge is 6 inches, the area of the base is 6 * 6 = 36 square inches.
Plugging in the values for B and h into the formula, we get V = (1/3) * 36 * 5 = 60 cubic inches.
Can u help me in this one please guys
Given:
The number 12 is the geometric mean between 3 and a number x.
We need to determine the value of x.
Value of x:
Since, we know that the geometric mean is the square root of the product of two numbers.
Hence, we have;
[tex]Geometric \ mean= \sqrt{a \times b}[/tex]
where a and b are two positive numbers.
Substituting Geometric mean = 12, a = 3 and b = x, we get;
[tex]12= \sqrt{3 \times x}[/tex]
Squaring on both sides, we get;
[tex]12^2=3 \times x[/tex]
[tex]144=3\times x[/tex]
Dividing both sides of the equation by 3, we have;
[tex]48=x[/tex]
Thus, the value of x is 48.
Given two regular shapes, find the sum of the pink angles
Answer:
180
Step-by-step explanation:
that is my answer it will help you
If 168 chocolate chips weigh 5 1 4 ounces. How many chocolate chips are in an ounce?
Answer:
if 168 chocolate chips weighs 514 ounces then you would divide
514/168=3.220238095
so round to the nearest tenth and get 3.2
you get that there are 3.2 chocolate chips are in one ounce
Step-by-step explanation:
hope this helps and plz give brainiest
Q(h)=-8h^2-5h , find q(-10)
Answer:
-750
Step-by-step explanation:
Q(h)=-8h^2-5h ,
Let x = -10
q(-10) = -8 (-10)^2 -5(-10)
=-8 *100 +50
=-800+50
= -750
2 yards is ______times as long as 1 foot.
A12
B3
C6
D2
Answer:
the ewser is b 3 times as long
Solve for x the solve for b
Answer:
[tex]x = 8[/tex]
[tex]b = 70[/tex]
Step-by-step explanation:
[tex]8x + 6 = 4x + 38[/tex]
[tex]4x = 32[/tex]
[tex]x = 8[/tex]
[tex] 4(8) + 38 = 70[/tex]
ts.
The volume of the prism is 840 cubic units. What is the
perimeter of the base?
O
o
O
12 units
15 units
21 units
30 units
Based on the calculations, the perimeter of the base is approximately equal to: D. 30 units.
How to calculate the perimeter of the base?First of all, we would determine the base area of the right pentagonal prism as follows:
Base area = volume/height
Base area = 840/14
Base area = 60 square units.
Next, we would determine the base edge of this pentagon by using this formula:
[tex]A = \frac{a^2}{4} \sqrt{5(5 \;+\;2\sqrt{5} )} \\\\60 = \frac{a^2}{4} \times 6.88\\\\6.88a^2 = 240\\\\a^2 = 240/6.88\\\\a=\sqrt{34.88}[/tex]
a = 5.91 units.
For the perimeter of the base, we have:
P = 5a
P = 5 × 5.91
P = 29.55 ≈ 30 units.
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Suppose △LMN≅△PQR .
Which congruency statements are true?
Select each correct answer.
QP⎯⎯⎯⎯⎯≅ML⎯⎯⎯⎯⎯⎯
MN⎯⎯⎯⎯⎯⎯≅QR⎯⎯⎯⎯⎯
∠M≅∠Q
∠R≅∠N
∠L≅∠M
NL⎯⎯⎯⎯⎯≅PQ⎯⎯⎯⎯⎯
Final answer:
Given that △LMN is congruent to △PQR, the true congruency statements are QP≈ML, MN≈QR, ∠M≈∠Q, and ∠R≈∠N.
Explanation:
When two triangles are congruent, it means that they have the exact same size and shape, with corresponding sides and angles that are equal.
Given that △LMN≈△PQR, we can make the following true congruency statements:
QP≈ML: Since △LMN≈△PQR, side ML of △LMN must be congruent to side QP of △PQR.MN≈QR: Side MN of △LMN is congruent to side QR of △PQR, again due to the congruency of the triangles.∠M≈∠Q: Angle M of △LMN is congruent to angle Q of △PQR.∠R≈∠N: Angle R of △PQR is congruent to angle N of △LMN.The statements ∠L≈∠M and NL≈PQ cannot be true based on the given triangle congruencies because ∠L and ∠M are angles within the same triangle (△LMN), and cannot be congruent to each other; and the side NL is not part of triangle △LMN.
24 + 8x =
Can someone please help mehhh!
Answer:
32x
Step-by-step explanation:
Answer:
(x + 3)
Step-by-step explanation:
Please Please Pleaseeeeeeeeee help me out with this question.
I have a timed test! tysm!!
Milan will rent a car for a day. The rental company offers two pricing options: Option A and Option B. For each pricing option, cost (in dollars) depends on miles driven, as shown below.
(a) If Milan drives the rental car 150 miles, which option costs more?
Option A or Option B
How much more does it cost than the other option? __
(b) For what number of miles driven do the two options cost the same? __
If Milan drives less than this amount, which option costs less?
Option A or Option B
Answer:
If she drives the car 150 miles, option A costs more. It'll cost $30 more.
The options cost the same if she drives 75 miles. If she drives less than 75 miles, option A costs less.
The required answer for (a) if Milan drives car 150 miles then Option A costs more $30 than Option B
Also the answer for (b) is the two Options costs same at 150 miles
Cartesian System:
The horizontal line called x-axis and vertical line called y-axis represent the position of any moving object.
How to find position on cartesian coordinate?Here we have assigns x-axis as miles driven by rental car
and y-axis is assigned as costs
Also we have given
Option (1) : The red line in the given graph
Option (2) : constant parallel line to the x-axis with costs $50
By observing the graph
(a)
At 150 miles at x-axis we found Option B costs $50 while Option A costs $80 which is 80 - 50 = $30 more than Option B
(b)
If we observe the intersecting point of these line then it is (75, 50)
This shows the equal costs $50 will be gain at 75 miles driven
If Milan drives less than this 75 miles then Option B is less costs.
This is the conclusion to the answer.
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PLEASE HELP ASAP GIVING BRAINLIEST
The foreign language teachers at school collected data about the numbers of students in their classes. Two languages, French and Spanish, are taught in both 8th grade and 9th grade. The teachers created the table shown. Approximately what percent of all students in a foreign language class are 9th graders taking Spanish?
A) 56%
B) 52%
C) 27%
D) 21%
Answer:
27%
Step-by-step explanation:
Add the number of students: 87+86+71+92= 336
Divide the number of 9th grade Spanish students by the total number of students: 92÷336= 0.27
Times by 100 to get a percentage: 27%
Final answer:
To find the percentage of 9th graders taking Spanish compared to all students in foreign language classes, add the counts from all classes to find the total, then divide the number of 9th grade Spanish students by this total and multiply by 100.
Explanation:
To determine the percent of all students in a foreign language class that are 9th graders taking Spanish, we would need the total number of students taking foreign languages and the number of those who are 9th graders taking Spanish. Let's assume we have the following numbers in our data table:
8th grade French students
9th grade French students
8th grade Spanish students
9th grade Spanish students
Add the numbers of all the students together to find the total. Then, divide the number of 9th grade Spanish students by the total and multiply by 100 to get the percentage.
For example, if there are 100 students in total and 27 of them are 9th graders taking Spanish, the calculation would be:
(27 / 100) * 100% = 27%
Pls help thx!!!!!!!!!
Answer:
20
Step-by-step explanation:
[tex](3x + 50) \degree = (6x - 10) \degree .. (vertical \:\angle s) \\ 3x + 50 = 6x - 10 \\ 3x - 6x = - 10 - 50 \\ - 3x = - 60 \\ x = \frac{ - 60}{ - 3} \\ \huge \red{x = 20}[/tex]
Answer:
x = 20
Step-by-step explanation:
the two angels are congruet meaning they have the same angle
to find x you plug the two equations equal to each other and solve for x
3x + 50 = 6x - 10
subtract 3x by both sides --> 50 = 3x - 10
add 10 to boths sides --> 60 = 3x
now to get x alone divide boyh sides by 3 --> 60/3 = x
x = 20
Two isosceles triangular prisms were joined at their bases to form the composite solid shown. The width of base of both
prisms is 6 units
What is the surface area of this composite solid?
104
122
158
208
Answer:
208
Step-by-step explanation:
Answer:
I got it right on the test
Answer: D
Step-by-step explanation:
A triangular prism. The triangular sides have a base of 6, height of 4, and side lengths of 5. The height of the prism is 10. A second triangular prism. The triangular sides have a base of 6, height of 2, and side lengths of 3.6. The height of the prism is 10.
What is the surface area of this composite solid?
___________ square units
104
122
158
√208
What is the prime factorization for 50 using exponents
Answer:
10 × 5
2 × 25
1 × 50
Step-by-step explanation:
using the graph,order the lines from steepest slope to the least steep slope.
Answer: B, A, C, D ??
Step-by-step explanation: Find the slope by Rise/ Run.
Hope this helps!
what is 10+10 but multiplied by 10
Follow the order of PEMDAS:
You would multiply 10x10 first. That would give you 100
Then you would add 100+10. That would give you 110
Your answer would be 110 :)
Answer:
That would be 101 :)
Step-by-step explanation:
Does anyone know the answers to these 2 questions please help
Answer:
See bold face answers below.
Step-by-step explanation:
10.
The legs of a 45-45-90 triangle are always congruent.
11.
The shorter leg is always opposite the 30-deg angle and the longer leg is always opposite the 60-deg angle.
Which equation could be used to find mZE in AEFG?
OmZE = cos 3
0 mZE = cos(4:6
mZE = tan-13
mZE = tan-1 4,6
Answer:m<E=tan-1(3/4.6)
Step-by-step explanation:
The triangle is an illustration of a right triangle
The equation that could be used to find angle E is [tex]E = \tan^{-1}(\frac{3}{4.6})[/tex]
To calculate angle E, we make use of the following tangent ratio
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
So, we have:
[tex]\tan(E) = \frac{3}{4.6}[/tex]
Take the arc tan of both sides
[tex]E = \tan^{-1}(\frac{3}{4.6})[/tex]
Hence, the equation that could be used to find angle E is [tex]E = \tan^{-1}(\frac{3}{4.6})[/tex]
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Can you help me with my maths?
Answer:
45. B, 9 + 0 = 9
46. D. 9 x 1 = 9
47. D. 0
48. B. 1/6 x 6 = 1
49. A
Step-by-step explanation: