Amy and Sara's ages are consecutive even integers. The product of their ages is 528. If Sara is
younger, how old is Amy?
Write an equation that can be used to find their ages.

Answer:

"2.82" seems to be the correct solution.

Step-by-step explanation:

As we know,

A bag (Bag A) contains,

Red balls = 3

Blue ball = 1

A second bag (Bag B) contains,

Red balls = 1

Blue ball = 1

Now,

⇒ P(Bag A, red ball) = [tex]P(A)\times P(r)\times P(r)[/tex]

On substituting the values, we get

⇒                                = [tex]\frac{1}{2}\times \frac{3}{4}\times \frac{2}{3}[/tex]

⇒                                = [tex]\frac{1}{4}[/tex]

Similarly,

Probability of second bag will be:

⇒  P(Bag B) = [tex]\frac{1}{2}[/tex]

hence,

In the first bag (Bag A), the expected number of red balls will be:

⇒  [tex]E(n)=\Sigma P(n)\times n[/tex]

On substituting the values, we get

⇒           [tex]=3 (\frac{1}{4})+2(\frac{1}{8} )+4(\frac{1}{24} )+3(\frac{1}{12} )+3(\frac{4}{20} )+4(\frac{1}{20} )+2(\frac{3}{20} )+\frac{2}{20}[/tex]

⇒           [tex]= \frac{169}{60}[/tex]

⇒           [tex]=2.82[/tex]

Answer:

98 degrees

Step-by-step explanation:

HJ = (5x - 7)

Because it's a full circle:

61 + 34 + (5x - 7) + (9x - 22) = 360

95 + (14x - 29) = 360

14x = 360 - 95 + 29 = 294

x = 21

HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98

Answer:

this is your answer as it lies in a same ratio..

Answer:

Rule: dilation about the origin by a scale factor of 2

Step-by-step explanation:

Given

See attachment for QRST and Q'R'S'T

Required

The dilation rule

First, we calculate the scale factor (k)

From the attachment, we have:

[tex]QR = 4[/tex]

[tex]Q'R' = 8[/tex]

k, is then calculated as:

[tex]k = \frac{Q'R'}{QR}[/tex]

[tex]k = \frac{8}{4}[/tex]

[tex]k =2[/tex]

Hence, QRST is dilated by a factor of 2

Answer:

x=70

Step-by-step explanation:

[tex]2x + 1 = 141 \\ 2x = 140 \\ x = 70[/tex]

Answer:

x=70

Step-by-step explanation:

I hope i was right have a good day!!

Answer:

2x-7, 2x-7=14, 2+7

Step-by-step explanation:

I am 99% sure these are correct

Answer:

26

Step-by-step explanation:

a complementary angle measures 90 degrees. minus the 64 would be 26

Answer:

true

Step-by-step explanation:

the total surface area of a solid is the sum of all faces both the bottom (base) and the top

The early redemption fee on this account is $2.25.

The annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. APR is a number that shows the actual yearly cost of funds throughout the life of a loan or the revenue received on an investment. This includes any fees or additional costs linked with the transaction but excludes compounding. The APR provides consumers with a single number that they may use to compare lenders, credit cards, and investment products.

We buy a CD for $300 that earns 3% APR and is compounded quarterly.

So, The early withdrawal fee is equivalent to 3 months' interest.  

= (APR / 12) X 3

= APR / 4

= 3% / 4

= 0.03/ 4

= 0.75

and, the Early withdrawal fee = 0.75 x $300

Thus, the redemption fee  is

= 0.0075 x $300

= $2.25

learn more about interest here:

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Answer:

Yes

Step-by-step explanation:

If you multiply it out, the expressions have the same value of 6p, so whatever you plug in for p, it will always be the same

Answer:

volume of box(v)=l×b×h

=1×6×4

=24ft^3

so it required 24volume sand to fill the box

Answer:

The calculated χ² =  17.0281    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent

The p-value is 0 .001909. The result is significant at p < 0.05

Part b:

40 > 8.5

35> 7.5

25> 4

Step-by-step explanation:

1) Let the null and alternative hypothesis as

H0: the quality of management and the reputation of the company are independent

against the claim

Ha: the quality of management and the reputation of the company are dependent

2) The significance level alpha is set at 0.05

3) The test statistic under H0 is

χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency

which has an approximate chi square distribution with ( 3-1) (3-1)=  4 d.f

4) Computations:

Under H0 ,

Observed       Expected E              χ²= ∑(O-e)²/e

40                      35.00                          0.71

25                      24.50                         0.01

5                         10.50                         2.88  

35                      40.00                         0.62

35                      28.0                          1.75

10                       12.00                           0.33  

25                      25.00                             0.00

10                        17.50                              3.21

15                       7.50                                 7.50  

∑                                                               17.0281

Column Totals 100 70 30   200  (Grand Total)

5) The critical region is χ² ≥ χ² (0.05)2 = 9.49

6) Conclusion:

The calculated χ² =  17.0281    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent.

7) The p-value is 0 .001909. The result is significant at p < 0.05

The p- values tells that the variables are dependent.

Part b:

If we take the excellent row total = 70 and compare it with the excellent column total= 100

If we take the good row total = 70 and compare it with the good column total= 80

If we take the fair row total = 50 and compare it with the fair column total= 30

The two attributes are said to be associated if

Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)

AB> (A)(B)/N  

40 > 1700/200

40 > 8.5

35> 1500/200

35> 7.5

25> 800/200

25> 4

and so on.

Hence they are positively associated

Answer:

Step-by-step explanation:

Answer:

212 m²

Step-by-step explanation:

4 x 4 x 5 = 80

6+6+50+30+40

Answer:

45 sweets.

Step-by-step explanation:

6:2:1

To solve how many Jim and Dan has I did 6 x n and 1 x n until the difference of the two numbers equaled 25.

6 x 5 = 30

1 x 5 = 5

30 - 5 = 25.

So, Jim as 30 candy and Dan has 1. How much does David have?

Just do the same thing but with 2 x n:

2 x 5 = 10.

Now add them together:

30 + 10 + 5 = 45.

Therefore, 45 sweets!

Answer:

Angle B= 31°

angle ECD=118°

Step-by-step explanation:

It Is Because Of The Two Sides Are Equal So that the opposite angle of each equal sides also equal.

angle A=angle B

31°=31°

So Angle B=31°

angle ACB+angle B+angle A=180°

angle ACB+31°+31°=180°

angle ACB+62°=180°

angle ACB=180°+62°

angle ACB=118°=angle ECD

Because It Is Him Opposite Angle

Answer:

6750 meters

Step-by-step explanation:

1 kilometer = 1000 meters

1000*6.75=6750

Answer:

6750 meters

Step-by-step explanation:

Kilometers are equal to 1000 meters, so we can just multiply 6.75 x 1000 to get 6750 meters

Answer:

I would use the sale price.

Step-by-step explanation:

20% of 150 is 30. So, you get $30 off if you use the sale price rather then the $15 coupon.

Answer:

A:

STR= -

TSAL= +

INC=+

SGL=-

B:

231.89 - .50 - .02 + .29 -.88

B2:

STR=Y

TSAL=N

INC=Y

SGL=Y

C:

234.89

D:

240.69

Step-by-step explanation:

Answer:

false.........

Step-by-step explanation:

......

Answer:

The interest rate and the number of compounding periods best describe the factors that determine the amount of interest because they encompass the ideas of time and yield.

Step-by-step explanation:

Hope this helps!!!

Answer:

False

Step-by-step explanation:

The origin is at 0 on the x-axis, and 0 on the y-axis. Hence, (0,0) lies on both the axis.

hope this helps and is right. p.s. i really need brainliest :)

if my answer is wrong then i am incredibly sorry!

The statement "The origin is a point anywhere along the x-axis" is False.

Origin is referred to as the first point or the starting point from which we begin our calculations or measurements in mathematics, particularly in the subject of coordinate geometry. The 0 on a ruler is the point at which we begin taking measurements; as a result, it is referred regarded as the scale's origin.

As, The intersection of the x and y axes in a coordinate plane is where the origin is located.

Coordinates can be used to name any point on the coordinate plane.

The coordinates are where the origin is ( 0, 0 ).

So, the x- coordinate is 0 and y- coordinates is 0.

Hence, the given statement is False.

Learn more about Origin here:

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Answer:

The investment will generate $ 60 in interest, with which the new balance will be $ 1060.

Step-by-step explanation:

To determine how much interest would $ 1,000 earn in one year at a rate of 6%, compounded annually, and what would be the new balance, the following calculations must be performed:

1000 x (1 + 0.06 / 1) ^ 1x1 = X

1000 x 1.06 ^ 1 = X

1000 x 1.06 = X

1060 = X

Therefore, the investment will generate $ 60 in interest, with which the new balance will be $ 1060.

Answer:

5) x = 25

6) x = 48

Step-by-step explanation:

5)

65 + x = 90

65 - 65 + x = 90 - 65

x = 25

--------------------------------------

6)

A complementary angle is 90 degrees.

42 + x = 90

42 - 42 + x = 90 - 42

x = 48

Answer: D, 100

Step-by-step explanation:

Answer: 100 (D)

Step-by-step explanation:

cuz

Answer:

The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0452

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0452\frac{0.81}{\sqrt{30}} = 0.3[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.57 - 0.3 = 0.27 inches.

The upper end of the interval is the sample mean added to M. So it is 0.57 + 0.3 = 0.87 inches.

The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.

Answer: 37.5%

Step-by-step explanation:

To find 3/8, divide 100 by 8 (12.5), then multiply that by 3 to figure out 3/8.