How much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $2,090 after one year?

Answer:

1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.

2) The 95% CI  is [-18.587; 1.01242]

Step-by-step explanation:

The given data is

Brand 1     257      276     260   262   287   271    260  265   283     271

Brand 2     273     281      279    275   271    270   263   267   263    268

Difference d -16   -5       -19       -13     -16    - 01       -3     -2      20     3 ∑ -98

d²               256     25     361      169    256     1     9      4     400      9 ∑1490

1) Let the hypotheses be

H0: ud= 0 against the claim Ha: ud ≠0

2) The degrees of freedom = n-1= 10-1= 9

3) The significance level is 0.05

4) The test statistic is

t= d`/sd/√n

5) The critical region is ║t║≤ t (0.025,9) = ±2.262

Calculations

6) d`= ∑di/n= -98/10= -9.8

Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]

= 1/9[1490-(-9.8)²/10] =1/9 [1490-9.604]= 164.4884

Sd= 12.825

Therefore

t= d`/ sd/√n

t= -9.8/ 12.825/√10

t= -0.764132/3.16227= -0.241640

7) Conclusion:

1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.

2) The confidence interval for the difference of two samples can be calculated by

d ` ± td sd/√n

Putting the values

-9.8 ±2.262* 12.825/√10

[-18.587; 1.01242]

Answer:

161 hope it helps

Step-by-step explanation:

God bless

Answer:

Step-by-step explanation:

The complete question in the attached figure

we know that

When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles.

When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent

In this problem

---> by alternate interior angles

we have

therefore

Answer:  4 3/8 yards of wood

Step-by-step explanation:

It would be 5 times the ammount needed for one birdhouse so it would be-

7/8 x 5= 35/8 or 4 3/8

Answer:

192 in cubed

Step-by-step explanation:

Multiply 12*2= 24*8

Answer:

192 should be yyour answer

Step-by-step explanation:

Answer:

B. 2x - 3

Step-by-step explanation:

[tex] \rm \frac{ {14x}^{2} - 27x + 9}{7x - 3} [/tex]

[tex] \rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}} [/tex]

[tex] \boxed{ \rm \bold{= 2x - 3}}[/tex]

Answer:

[tex]\tt{}2x - 3[/tex]

Step-by-step explanation:

[tex] \tt{} \frac{(14 {x}^{2} - 27x + 9) }{(7x - 3)} [/tex]

[tex] \tt{} \frac{14 {x}^{2} - 6x - 21x + 9 }{7x - 3} [/tex]

[tex]\tt{} \frac{2x \times (7x - 3) - 3(7x - 3)}{7x - 3 } [/tex]

[tex]\tt{}2x - 3[/tex]

Answer:

its is 192 I just took this assignment

Answer:

7072

Step-by-step explanation:

hbngfthjhuiuttyui

Step-by-step explanation:

yiutujhyyiiyttthhuijc

Answer:

The answer is B and C

Step-by-step explanation:

1 Meter is equal to 0.001 Kilometer

1 Centimeter is equal to 0.01 Meters

The unit conversions which has the true measurements are

a) 7 cm = 0.07 m

b) 7,000 m = 7 km

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the unit conversion be represented as A

Let the first measurement be p

where the value of p is

p = 7 cm

From the unit conversion , 1 m = 100 cm

So , 7 cm = 0.07 m

And , let the second measurement be q = 7,000 m

From the unit conversion , 1 km = 1,000 m

7,000 m = 7 km

Hence , the unit conversions are solved

To learn more about unit conversion click :

https://brainly.com/question/19420601

#SPJ2

Answer:

[tex]P(x^{2} \geq 10.65) = 0.03\\[/tex]

Step-by-step explanation:

Since there are 5 categories, there are 5−1=4 degrees of freedom. The probability of obtaining a chi-square test statistic greater than or equal to 10.65 with 4 degrees of freedom is approximately 0.03, as found using technology.

Answer:

I'm pretty sure this is the answer....

The speakers are $56.

Sorry if i'm wrong. :')

Step-by-step explanation:

Answer:

You want to buy something that costs $160, and it's on sale for 35% off. What is the item's sale price?

First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.

Second, find out what 35% of $160 is. This is the amount of the sale discount. This is always found by mulitplying 0.350 by the item's cost $160, like this:

0.350 x $160 = $56.00.

So for this sale, you'll save $56.00 on this item.

This means, the cost of the item to you is

$160 - $56.00 = $104.00.

Alternatively, you can think about it this way. The item is 35% off. This means you'll pay 65.000% of the total cost (100% - 35% = 65.000%).

Now what's 65.000% of the total cost?

0.650 x $160 = $104.00.

Just like the result above, the sale price on the item is $104.00

Answer:

2.25 seconds

Step-by-step explanation

[tex]d=16t^{2}[/tex]

[tex]d=81 feet\\t=?[/tex]

Because you know what distance equals you can plug it into the equation

[tex]81=16t^{2}[/tex]

From there you can solve by dividing the 16 over and then square rooting.

[tex]\frac{81}{16}=t^{2}[/tex]

[tex]5.0625=t^{2}[/tex]

You take the square-root to get rid of [tex]t^{2}[/tex]

[tex]\sqrt{5.0625} =\sqrt{t}^{2}[/tex]

[tex]t=2.25[/tex]

9514 1404 393

Answer:

  12 ft

Step-by-step explanation:

Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...

  A = LW

  264 = (2w-2)w

  132 = w² -w . . . . . . . divide by 2, eliminate parentheses

  132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square

  √132.25 = w -0.5 . . . . . take the square root

  0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root

The width of the living room is 12 feet.

Answer:

5. is the answer

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

12 times 2 is 24

24 times 10 is 240

Have a nice day

Answer:

240 [tex]Inches^{3}[/tex]

Step-by-step explanation:

Answer:

18/25

Step-by-step explanation:

2/100: left alone. You can reduce the answer later.

7/10: Multiply numerator and denominator by 10

7*10 = 70

10*10 = 100

Result: 70/100

Now add

2/100 + 70/100 = 72/100

Now reduce. Top and bottom can be divided by 4

72/4 = 18

100/4 = 25

Answer 18/25

Answer:

4 ndays

Step-by-step explanation:

Answer:56

Step-by-step explanation: -8x-7=56

Answer: -15

Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)

Answer:

x = 39.3

Step-by-step explanation:

30^2 = 27^2 + AB^2

30^2 - 27^2 = AB^2

AB = 13.1

30÷90 = 13.1÷X

30x = 1179

x = 1179÷30

x=39.3

Answer:

2

Step-by-step explanation:

1+1=2

Thank you for coming to my TED Talk

Answer:

22

Step-by-step explanation:

Answer:

502 cubic feet

Step-by-step explanation:

The Volume of the tank is 502 cubic feet.

Answer:

50

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

Answer:

Step-by-step explanation:

sss

b option is the answer

I am sure

Answer: 792 i belive

Step-by-step explanation:

Answer: 88 inches x 107 inches = 65.39 ft²