The area of Region A is the same as the area of region c true or false

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting [tex]A=8700,r=24,t=3[/tex], we get

[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]

[tex]8700=P\left(1+0.24\right)^{3}[/tex]

[tex]8700=P\left(1.24\right)^{3}[/tex]

[tex]8700=1.906624P[/tex]

Divide both sides by 1.906624.

[tex]\dfrac{8700}{1.906624}=P[/tex]

[tex]4563.0391729=P[/tex]

[tex]P\approx 4563.04[/tex]

Therefore, the principal value is about 4563.04.

Answer:

8/10 and 12/15

Step-by-step explanation:

The first area model shows that 4 of the 5 blocks are filled.

The second area model shows that 8 of the 10 blocks are filled.

The third area model shows that 12 of the 15 blocks are filled.

Answer:

Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers

Step-by-step explanation:

The given data is

Sample1 mean = x1` = 289.3

Sample 1 size = n1= 10

Sample 1 std. dev= s1= 22.5

Sample2 mean = x2` = 321.5

Sample 2 size = n2= 16

Sample 2 std. dev= s2= 21

1)Formulate the null and alternate hypothesis as

H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂

2)The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

where degrees of freedom = d.f=

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

3) the significance level chosen is ∝= 0.05

4) Calculating the d.f

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

    = [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]

= 18

5) the critical region for ∝= 0.05 for 18 d.f =  ±2.101 for two sided test

6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 289.3- 321.5/√21²/10 + 22.5²/16

t= -32.2/√44.1+31.64

t= -32.2/8.0729

t= -3.9886

7) Conclusion

Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers

Answer:

It would be 20

Answer:

6.4 in is the answer.

Step-by-step explanation:

a = 5 in

b = 4 in

c = ?

According to the Pythagorean theorem,

a² + b² = c²

5² + 4² = c²

25 + 16 = c²

c² = 41

c = 6.403

Round to the nearest tenth,

c = 6.4 in

∴ the length of the pencil is 6.4 in

Answer:

mean

Step-by-step explanation:

Answer:

120.2 or in other words, the answer is the last option, D

Answer:

8

Step-by-step explanation:

Let us assume the following things

x be no of 5 rupees coins

y be no of 2 rupees coins

z be no of 1 rupees coins

Now accoridng to the question

5x + 2y + z = 41

x + y + z = 20

y = 3x

Now do the elimination of variables

So,  

4x + y = 21

7x= 21

x = 3

y = 9

z= 8

hence, the 1-rupee coin would be 8

Answer:

25

Step-by-step explanation:

10n−5(2n−5)

Distribute:

=10n+(−5)(2n)+(−5)(−5)

=10n+−10n+25

Combine Like Terms:

=10n+−10n+25

=(10n+−10n)+(25)

=25

plz mark me as brainliest.

Answer: 25

Step-by-step explanation:

Given

 10n-5(2n-5)

Distributive property

=10n-(5×2n-5×5)

Simplify

=10n-(10n-25)

Take off parenthesis (REMEMBER to change signs whenever it is "-" outside)

=10n-10n+25

=0+25

=25

Hope this helps!! :)

Please let me know if you have any questions

Answer:

c

Step-by-step explanation:

9514 1404 393

Answer:

  C  83°

Step-by-step explanation:

The measure of inscribed angle BDA is half the measure of the arc it intercepts.

  ∠BDA = (1/2)arcBFA = (1/2)(166°)

  ∠BDA = 83°

Answer:

yeah it is b

acute and scalene

Step-by-step explanation:

scalene means none of the sides equal

and also all sides are acute angles

Answer:

yep you are correct it would be answer b

Step-by-step explanation:

hope this helped you

Answer:

median = 62.5, average = 66.25

Step-by-step explanation:

50, 90 , 62 and 63

median = 50 , 62, 63, 90

62 + 63 / 2

125/2

median = 62.5

average = 50 + 90 + 62 + 63 /4

=265/4

average = 66.25

Answer:

if u mean absolute value it is 5.

the value is always positive an dmeans how far is it from the numberline

Step-by-step explanation:

Step-by-step explanation:

[tex]4x - 16 + 2x + 16 = 180 \\ 6x = 180 \\ x = 30[/tex]

Step-by-step explanation:

A straight line has 180° so we can set

4x-16+2x+16=180

6x=180

x=30

Hope that helps :)

Answer:

Easy it's 40

Step-by-step explanation:

I think it's 40 because the other numbers are all with in the range of 10-20 except 40.

Answer:

Answer is 40! :)

Answer:

1) e = 6

2) w = 10

3) s = 27

4) t = 4

Step-by-step explanation:

Cross multiplication

Remove parenthesis, rearrange, and combine like terms.

7+i-6+4i

1i+4i+7-6

5i+1

---

hope it helps

Answer: $71.20

Step-by-step explanation: 20% discount means 20% of the original price is subtracted from the original price, so to find 20% of the original price multiply 89 by 0.2 and you will get 17.8. Subtract the 17.8 from 89 and you get the answer, $71.20!  

Answer:

a=29×36

Step-by-step explanation:

just do 29×36 to get your answer

Answer:

16

Step-by-step explanation:

22-6=16 ;0

Answer:

i think x is 19.2

Step-by-step explanation:

solve x by cross multiplying

Answer:

3/3

Step-by-step explanation:

here ya go

Answer: If you mean 7 times 8 that is 56

Other expressions that are equal

- 56 times 1

- 1 times 56

- 2 times 28

- 4 times 14

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

Filling in the given information, we find the area of the triangular base to be ...

  726 cm³ = B(12 cm)

  B = 726 cm³/(12 cm) = 60.5 cm²

The area of an isosceles right triangle is half the area of a square with the same side lengths:

  B = 1/2s²

  60.5 = 1/2s²

  s = √(2(60.5)) = √121 = 11

The length of each of the equal sides of the base is 11 cm.

Answer:

Step-by-step explanation:

Distance (d) = 190 miles

Time (t) = 4 hr 45 min = 19 / 4 hours

Speed = distance / time

= 190 / (19/4)

= 40 miles/hour

The average speed is the total distance traveled by the object in a particular time interval.

The average speed of the car in miles per hour is 40 miles per hour.

The average speed is the total distance traveled by the object in a particular time interval.

We have,

Distance traveled in 4 hours and 45 minutes = 190 miles
Time = 4 hours and 45 minutes

This can be written in hours as:

= 4.75 hours

Average speed:

= Total distance / Total time

= 190 miles / 4.75 hours

Divide both the numerator and denominator by 4.75

= (190/4.75) / (4.75/4.75)

= 40 miles / 1 hour

Thus the average speed of the car in miles per hour is 40 miles per hour.

Learn more about average speed here:

https://brainly.com/question/12322912

#SPJ5

Answer:

x=1,y=4

Step-by-step explanation:

x=1,y=4

Answer: green

Step-by-step explanation:

Answer:

0.0143 = 1.43% probability that the amount dispensed per box will have to be increased

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean for 1 hour is 1 pound and the standard deviation is 0.2 pound

This means that [tex]\mu = 1, \sigma = 0.2[/tex]

Sample of 49:

This means that [tex]n = 49, s = \frac{0.2}{\sqrt{49}} = 0.0286[/tex]

What is the probability that the amount dispensed per box will have to be increased?

This is the probability of the sample mean being less than 15 pounds = 15/16 = 0.9375 ounces, which is the pvalue of Z when X = 0.9375.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.9375 - 1}{0.0286}[/tex]

[tex]Z = -2.19[/tex]

[tex]Z = -2.19[/tex] has a pvalue of 0.0143

0.0143 = 1.43% probability that the amount dispensed per box will have to be increased

Answer:

16.1

Step-by-step explanation:

Answer:

I believe the answer is x = 16.1

Step-by-step explanation: