Answer:
the interest earned amount is $1,114.251
Step-by-step explanation:
The computation of the interest earned is shown below:
But before that the future value is
= Present value × (1 + rate of interest)^number of years
= $7,250 × (1 + 0.10)^1.5
= $7,250 × 1.10^1.5
= $8,634.251
Now the interets earned is
= $8,634.251 - $7,250
= $1,114.251
Hence, the interest earned amount is $1,114.251
Test Booklet AP CollegeBoard AP Statistics Name Unit 7, part 2 Test (MC) 1. A statistics student wants to compare the mean times needed to access flight information for two major airlines. Twenty randomly selected students accessed one airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.5 minutes and a standard deviation of 0.8 minute. Twenty different randomly selected students accessed the other airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true?
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Web sites
B. The p-value is greater than 0.01 but less than 0.05, therefore, there is a significant difference in mean search times on the two Web sites.
C. The p-value is greater than 0.05 but less than 0.10, therefore, there is a significant difference in mean search times on the two Web sites.
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
E. Since this is a matched-pairs situation, additional information is needed to perform a test of significance
Answer:
The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
Step-by-step explanation:
From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines
Let 'A' represent one of the airlines and let 'B' represent the other airline
In the statistics hypothesis test we have;
The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes
The standard deviation to access airline A's website, s₁ = 0.8 minutes
The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes
The standard deviation to access airline B's website, s₂ = 1.1 minutes
The t-test is given as follows;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;
[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]
Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.
What is the approximate area of the circle shown below?
O A. 49 cm2
O B. 191 cm2
O C. 96 cm2
O D. 24.5 cm
Answer:
B. 191 cm2
Step-by-step explanation:
have a nice day!!! :)
The area of the Circle is 191.03 cm².
Option B is correct.
What is Area of Circle?Geometric shape of a circle with a closed plane. A circle is a locus of a point that moves around a fixed point at a fixed distance away from the point.
The space occupied by a circle in a two-dimensional plane is defined as its area. Conversely, the area of a circle is the space occupied within the boundary/circumference of a circle.
The area of a circle is calculated as A = πr², where r is the radius of the circle.
Given:
r = radius = 7.8cm
π = 3.14
So, area of Circle
= πr²
Now, substitute the values we get
= 3.14 x 7.8 x 7.8
= 3.14 x 60.84
= 191.03 cm²
Thus, the Area of Circle is 191.03 cm².
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Evaluate 17x + 5.5y when x = 6 and y= 9
Step-by-step explanation:
given x = 6, y = 9,
[tex]17x + 5.5y = 17(6) + 5.5(9) \\ = 102 + 49.5 \\ = 151.5[/tex]
Answer:
151.5
Step-by-step explanation:
= 17(6) + 5.5(9)
= 102 + 49.5
= 151.5
Hope you got it..
A circle is centered on point B. Points A, C and D lie on its circumference.
If ZABC measures 40°, what does ZADC measure?
Given:
A circle is centered on point B.
Points A, C and D lie on its circumference.
If [tex]m\angle ABC[/tex] measures 40°.
To find:
The [tex]m\angle ADC[/tex].
Solution:
Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.
In the given figure [tex]\angle ABC[/tex] is the central angle and [tex]m\angle ADC[/tex] is the inscribed angle on the same arc AC.
Using central angle theorem, we get
[tex]m\angle ABC=2m\angle ADC[/tex]
[tex]40^\circ=2m\angle ADC[/tex]
[tex]\dfrac{40^\circ}{2}=m\angle ADC[/tex]
[tex]20^\circ=m\angle ADC[/tex]
Therefore, the measure of angle ADC is 20°.
What are the values of x in the equation (x - 3)2 = 7?
Answer:
Exact Form - 13/2
Decimal Form - 6.5
Mixed Number Form - 6 1/2
Hope this helps
what ia 4(t-5) FAST !!!!!!
Answer:
4t-20
Step-by-step explanation:
Answer:
4t-20
or
unknown
Step-by-step explanation:
if there is a value for t then i,d,k the answer if there isnt then 4t-20 is the answer
Serafine went shopping and bought the following items:
SERAFINE'S SHOPPING LIST
1 loaf bread $2.99
1 jar peanut butter $3.19
3 pounds apples $2.59
She had one coupon for $0.25 off and another for $0.40 off. Which expression represents
the total amount she needs to pay?
A
B
$2.99+ $3.19+ $ 2.59+ $0.25 + $0.40
$2.99 + $ 3.19+ $ 2.59+($0.25 - $0.40)
c$2.99+ $3.19+ $ 2.59+(- 50.25 + $0.40)
$2.99+ $3.19+ $2.59+- $0.25)+(- $0.40)
D
Answer:
I am going to assume that D's expression is actually $2.99+$3.19+$2.59+(-$0.25)+(-$0.40)
= $6.18+$2.59-$0.25-$0.40 [Note: (+)*(-)=(-)]
=$8.77-$0.25-$0.40
=$8.52-$0.40
=$8.12
Step-by-step explanation:
The prices of the loaf bread, a jar of peanut butter and 3 pounds of apples will be added. The value of the coupons will be then reduced from the total to get the final total.
please with this problem I'm not sure what to put
..............
can somebody help me with this ty!!
HELP ASAP ASAP PLEASE
Answer:
16
Step-by-step explanation:
20^2-12^2=256
400-144=256
sqrt 256 = 16
A glass prism on a chandelier is 57 millimeters long. A base of the prism is an
equilateral triangle with side lengths of 8 millimeters and a height of about 5.2
millimeters. What is the approximate surface area of the prism?
Pleasee help!!
Answer:
1410 mm²Step-by-step explanation:
Given triangle prism with:
a = 8mm, h = 5.2 mm, l = 57 mmTotal surface area:
S = Pl + ah = 3al + ah = a(3l + h)S = 8(3*57 + 5.2) = 1409.6 mm² ≈ 1410 mm²10. Write the slope-intercept form of the equation of the
line parallel to the graph of 9x + 3y = 6 that passes
through (5,3).
Answer:
y = -3x + 18
Step-by-step explanation:
The slope intercept form of a line is expressed as y = mx+c
m is the slope
b is the intercept
Get the slope
Given the equation of a line 9x + 3y = 6
Rewrite
3y = -9x + 6
y = -9x/3 + 6/3
y = -3x + 2
Hence the slope of the line is -3
Get the y-intercept
Substitute m = -3 and (5,3) into y = mx+b
3 = -3(5) + b
3 = -15 + b
3 + 15 = b
18 = b
b = 18
Get the required equation
y = mx+b
y = -3x + 18
This gives the required equation
Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56
Answer:
B) 3:24
D) 5:40
E) 7:56
Step-by-step explanation:
3x8= 24
3:24= 1:8
5x8= 40
5:40= 1:8
7x8= 56
7:56= 1:8
PLS HELP!!!!
Select the correct comparison.
Set A
Set B
.
. . .
278 10
0268
A. The typical value is greater in set A. The spread is greater in set B.
B. The typical value and the spread are both greater in set A.
C. The typical value and the spread are both greater in set B.
D. The typical value is greater in set B. The spread is greater in set A.
Five quarts of a latex enamel paint will cover about 200 square feet of wall surface. How many quarts are needed to cover 215 square feet of kitchen wall and 65 square feet of bathroom wall?
Answer:
5.375 quarts
1.625
Step-by-step explanation:
determine amount of quarts of latex per square feet = 5/200 = 0.025
quart for 215 = 0.025 x 215 = 5.375 quarts
quart for 65 = 65 x 0.025= 1.625
An insect population doubles every week. The function f(x)= 10(2)^x models the insect population after x weeks what will the population be after 4 weeks?
A.80
B.20,000
C.160
Given:
The insect population function is:
[tex]f(x)=10(2)^x[/tex]
Where x is the number of weeks.
To find:
The population after 4 weeks.
Solution:
The population of insect after x weeks is given by:
[tex]f(x)=10(2)^x[/tex]
We need to find the population after 4 weeks.
After substituting [tex]x=4[/tex], we get
[tex]f(4)=10(2)^4[/tex]
[tex]f(4)=10(16)[/tex]
[tex]f(4)=160[/tex]
The population after 4 weeks is 160. Therefore, the correct option is C.
3x + 12 = -3 What is the value of X
Answer:
x = -5
Step-by-step explanation:
i took algebra a couple years ago :)
Answer:
x=-5
Step-by-step explanation:
3x+12= -3
-12 -12
(subtract 12 from both sides because you want the variable by itself)
3x= -15
(divide by 3 so you can get x completely by itself)
x= -5 (final answer)
Find mADB unit 7 geometry
Answer:
∠ ADB = 59°
Step-by-step explanation:
The vertices of a rectangle are right angles, then
∠ ADB + 31° = 90° ( subtract 31° from both sides )
∠ ADB = 59°
If 11% of a number equals 4, find 66% of that number.
Answer:
66% of the formerly unknown number comes out to 24.
Step-by-step explanation:
0.11n = 4, so n (the number in question) is equal to 4/0.11, or 36.36.... (a repeating decimal). 66% of this n would be 0.66(4/0.11), or 24.
66% of the formerly unknown number comes out to 24.
131° 1079
47°
х
o
XE
Enter the number that goes in the green box.
[?]
Enter
Answer:
x=75
Step-by-step explanation:
Sum of the interior angles of a trapezoid = 360°
That being said we can calculate the measure of the missing angle (x) by subtracting the given angles (131, 107 and 47) from 360
so x = 360 - 131 - 107 - 47
360 - 131 = 229
229 - 107 = 122
122 - 47 = 75
so x = 75
A parabola with a vertex at (0,0) has a directrix that crosses the negative part of the y-axis.
Which could be the equation of the parabola?
A. x² = –4y
B. x² = 4y
c.y² = 4x
D.y² = –4x
Answer:
A parabola can be represented by the equation x2 = -20y. ... (0,-2). The directrix of the parabola is represented by y = 2. ... A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. ... The directrix will cross through the positive part of the y-axis. ... Which graph represents the equation y2 = -4x? A ...
Step-by-step explanation:
yeiii
PLZ HELP NOW 80 POINTS DUE IN 30 MIN WIL GIVE BRAINLIEST!
Slope is change in y over change in x:
Slope = (5c - 3c) / ( 2c -c)
Slope = 2c/c = 2
The answer is D. 2
2. He did not plug the correct values into the numerical equation.
The answer should be B.
???? Please help!!!!!!!
Answer:
It would probably be C
What are the TWO formulas for the area of a triangle?
Answer:
Step-by-step explanation:
?
f(x)=5x^2+5x-30
if anyone can help me that would be great
Answer:
x= 2,-3
Step-by-step explanation:
Is this what you want?
please help me i dont understand it and i dont know the answers
Answer:
Step-by-step explanation:
a) y=[tex]x^{2} -4x[/tex]
x=-1 ⇒ y=[tex](-1)^{2} +4=1+4=5[/tex]
x=1 ⇒ y=[tex]1^{2} -4=1-4=-3[/tex]
x=2 ⇒ y=[tex]2^{2} +8=4-8=-4[/tex]
x=4 ⇒ y=[tex]4^{2} -16=16-16=0[/tex]
b) [tex]x^{2} -4x[/tex]=[tex]x^{2} -4x+4-4=(x-2)^{2}-4[/tex]
so the blue one
Which of these contexts describes a situation that is unlikely?
O Rolling a 1 on a standard six-sided die, numbered from 1 to 6.
O Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue.
O Winning a raffle that sold a total of 100 tickets if you bought 9o tickets.
OReaching into a bag full of 10 strawberry chews and 10 cherry chews without looking and pulling out a strawberry or a cherry chew.
Answer:
The first one
Step-by-step explanation:
This is because all the other ones there is a likely chance that you will get them. While the first one it is less of a chance that you will role a die and land on a one. It is a 1 out of 6 chance
The situation which is unlikely is rolling a 1 on a standard six-sided die, numbered from 1 to 6
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
a)
Rolling a 1 on a standard six-sided die, numbered from 1 to 6
Probability P ( A ) = 1/6
P ( A ) = 0.1667
b)
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on red or yellow or green or blue
Probability P ( A ) = 1
P ( A ) = 1
c)
Winning a raffle that sold a total of 100 tickets if you bought 90 tickets.
Probability P ( A ) = 90/100
P ( A ) = 0.9
d)
Reaching into a bag full of 10 strawberry chews and 10 cherry chews without looking and pulling out a strawberry or a cherry chew.
Probability P ( A ) = 10/20
P ( A ) = 0.5
Hence , the unlikely event is Rolling a 1 on a standard six-sided die, numbered from 1 to 6
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..........................
Answer:
= -15.4
Step-by-step explanation:
-10.6-4.8
= -(10.6+4.8)
= -15.4
you basically just add the negatives.
i hope this helps :)
Answer:
-15.4
Step-by-step explanation:
Subtract the numbers -10.6 - 4.8 to get -15.4
If you have any questions revolving around this topic,feel free to ask me and i will be happy to help,Good luck!
please select the best answer from the choices provided
Answer:
[tex]\sqrt{122}[/tex]
Step-by-step explanation:
Given that,
Vector n = 4i-j
Vector m = 3i+3j
We need to find the value of m+2n.
Put all the values,
m+2n = (3i+3j)+2(4i-j)
= (3i+3j)+8i-2j
=11i+j
Magnitude of vector,
[tex]|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}[/tex]
So the correct option is (c).
Which shape has no parallel sides? (2 points)
Group of answer choices
a quadrilateral with one small square in each of the four corners, and arrows going in the same direction for each of the opposite sides
a quadrilateral with one small square in each of the four corners, and single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
a quadrilateral with sides of different lengths
a quadrilateral with single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides
Option (C) is the correct option.
What is quadrilateral?"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".
For the given situation,
From the definition, a quadrilateral with sides of different lengths has no parallel sides.
Hence, option (C) is the correct option.
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