Answer please!!!!
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Answer:

9%

Step-by-step explanation:

Original area of the rectangle = length × width

= 62 × 48

= 2,976 m²

Diane area of the rectangle = length × width

= 60 × 45

= 2700 m²

Percent error = (original - estimated)/original × 100

= (2976 - 2700)/2976 × 100

= 276/2,976 × 100

= 0.0927419354838 × 100

= 9.2741935483870%

Approximately to the nearest whole percent = 9%

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{\bf{{(10-343)-2\times6}}}\\\bold{Do\ PEMDAS}\\\bold{PEMDAS\ is....}\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex][tex]\\\bold{Do\ PEMDAS}\\\\\bold{PEMDAS\ is....\downarrow}\\\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex]

[tex]\large\text{\bf{(10 - 343) - 2 * 6}}\\\large\text{\bf{10 - 343 = -333}}\\\large\text{\bf{(-333) - 2 * 6}}\\\large\text{\bf{2 * 6 = 12}}\\\large\text{\bf{(-333) - 12 = -345}}\\\boxed{\boxed{\large\text{\bf{Answer: -345}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Given:

Amount = Rs. 34476

Rate of compound interest = 4%

Time = [tex]2\dfrac{1}{2}=2.5[/tex] years

To find:

The principal value.

Solution:

Formula for amount is

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

Where, P is principal value, r is rate of interest and t is time in years.

Putting the given values, we  get

[tex]34476=P\left(1+\dfrac{4}{100}\right)^{2.5}[/tex]

[tex]34476=P\left(1+0.04\right)^{2.5}[/tex]

[tex]34476=P\left(1.04\right)^{2.5}[/tex]

[tex]\dfrac{34476}{\left(1.04\right)^{2.5}}=P[/tex]

Now,

[tex]P=31256.0090[/tex]

[tex]P\approx 31256[/tex]

Therefore, the value of sum or principal value is Rs.31256.

Step-by-step explanation:

5(m – 8) - 4(m – 7)

5m-40-4m+28

m -12

Answer:

5(m - 8) - 4(m - 7)

= 5m - 40 - 4m +28

= m - 12

m = 12

hope it helps

Step-by-step explanation:

step 1. what is the question? solve for k? okay.

step 2. 4(k - 6) = 6(-4 - 5k)

step 3. 4k - 24 = -24 - 30k

step 4. 34k = 0

step 5. k = 0.

Answer:

10

Step-by-step explanation:

2x5 is basically 1x5= 5x2=10

Step-by-step explanation:

-3.25y < -61.75

-3.25y < -61.75

-3.25. -3.25

whenever an inequality is divided by a negative number the sign changes, so if the sign of the inequality is greater than( > ) it becomes less than( < ) or the other way around. In this case the less than will be greater than.

y > 19 , S.S= [ 20,21,22,23.....]

Answer: 1 hour 38 minutes

Step-by-step explanation:

From 11:51 AM to 12:00 PM (noon)

9 minutes

from 12:00 PM to 1:00 PM

1 hour

1:00 PM to 1:29 PM

29 minutes

______________________________

9 minutes + 1 hour + 29 minutes

1 hour 38 minutes

Answer:

a.) X  ≈ N (0, 12)

b.) Y ≈  exp(2)

c.) The given distribution is not defined.

d.) Not a standard form of any distribution .

Step-by-step explanation:

Given - In parts (a)−(d) below, either use the information given to determine

            the distribution of the random variable, or show that the information

            given is not sufficient by describing at least two different random

            variables that satisfy the given condition.

To find - (a) X is a random variable such that Mₓ(t) = [tex]e^{6t^{2} }[/tex] when |t| < 2.

              (b) Y is a random variable such that  [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.

              (c) Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.

              (d) W is a random variable such that [tex]M_{W}[/tex](2) = 2

Proof -

a.)

As we know that the moment generating function of normal distribution is given by

Mₓ(t) = [tex]e^{ut + \frac{1}{2}t^{2} \sigma^{2}}[/tex]

Now,

Mₓ(t) = [tex]e^{6t^{2} }[/tex]

       = [tex]e^{0(t) + \frac{12}{2} t^{2} }[/tex]

⇒μ = 0, σ = 12

Nd it is represented by

X  ≈ N (0, 12)

b.)

Moment generating function of exponential function is given by

[tex]M_{Y}[/tex](t) = [tex]( 1 - \frac{t}{\theta})^{-1}[/tex]

Now,

 [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.

          = [tex]\frac{1}{\frac{2 - t}{2} }[/tex]

          = [tex]\frac{1}{1 - \frac{t}{2} }[/tex]

          = [tex]( 1 - \frac{t}{2} )^{-1}[/tex]

And it is represented by

Y ≈  exp(2)

c.)

Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.

The given distribution is undefined.

d.)

[tex]M_{W}[/tex](2) = E([tex]e^{2w}[/tex] )

           = [tex]\int\limits^{-\infty}_{\infty} {e^{2w} f(w) } \, dw[/tex]

          = 2

It is not the standard form of any distribution.

Answer:

[tex]\huge\boxed{\boxed{\color{silver} \sf- \frac{8}{9}}}[/tex]

Step-by-step explanation:

[tex] {3}^{ - 2} \times { - 2}^{3} [/tex]

[tex] \frac{1}{ {3}^{2} } \times - 2 \times - 2 \times - 2[/tex]

[tex] \frac{ 1}{9} \times - 8[/tex]

[tex] - \frac{8}{9} [/tex]

Step-by-step explanation:

3^-2 × -2^3

1/3²×-2³

1/9×-8

-8/9

Answer:

Mean = 22

Range = 14

Step-by-step explanation:

pls give brainliest

Answer:

1/2 cup carrot juice for every cup of apple juice

Step-by-step explanation:

Answer:

1/2 cup carrot juice for every cup of apple juice

Step-by-step explanation:

6:3 6 dived by 6 is 1 and 3 dived by 6 is 0.5 also known as 1/2

Answer:

area of the parallelogram=6

area of the rectangle=20

total area=26 square units

Answer:

7

Step-by-step explanation:

it's just 4 2/3 divided by 2/3, right?

Answer:

Do it your self

Step-by-step explanation:

Gross

Answer:

30.5

Step-by-step explanation:

Answer:

it would be:

3x-4y=-8

Step-by-step explanation:

Answer:

27 cm

Step-by-step explanation:

Answer:

a*2+b*2+c*2+d

Step-by-step explanation:

If i's meant to be Pythagorean theorem, a*a+b*b=c*c

Answer:

430.2857...

Step-by-step explanation:

Answer:

[tex]3.012[/tex] ÷ [tex]7[/tex] = 430.285

Answer:

25 degrees

Step-by-step explanation:

The total angle sum of a triangle is 180 degrees

since the two sides are equal...

(x) + (x) + (4x + 30) = 6x + 30 = 180

==> x = 25 degrees

Answer:

by reflection, if you mean swapped, then the answers are A'(1,-6) and B'(4,2)

i hope these are the answers you are looking for

Step-by-step explanation:

Answer:

No it is not

Step-by-step explanation:

Answer:

16

every time you go up 10% there will be 2 added

2*8=16

Step-by-step explanation:

If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

10% of a number is 2 less than 20% of the same number,

10% .x=20%x-2

Convert % to the decimal by diving with 100.

10/100x=20/100x-2

0.1x=0.2x-2

Subtract 0.1x on both sides

0=0.2x-0.1x-2

Add 2 on both sides

2=0.2x-0.1x

2=0.1x

Divide both sides by 0.1

20=x

Now we need to find 80% of 20.

80% of 20

80/100×20

0.8×20

16

Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

To learn more on Percentage click:

https://brainly.com/question/28269290

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Answer:

Test score of 75.7.

Step-by-step explanation:

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

The results are normally distributed with a mean test score of 60 and a standard deviation of 8.

This means that [tex]\mu = 60, \sigma = 8[/tex]

Calculate the test score above which 2.5% of all test scores lie.

Above the 100 - 2.5 = 97.5th percentile, which is the value of X when Z has a pvalue of 0.975, so X when Z = 1.96.

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

[tex]1.96 = \frac{X - 60}{8}[/tex]

[tex]X - 60 = 8*1.96[/tex]

[tex]X = 75.7[/tex]

Test score of 75.7.

Answer:

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

Step-by-step explanation:

Initial altitude:

100 1/5 yards = 100 + 0.2 = 100.2 yards.

Decrease per minute:

10 4/5 yards = 10 + 0.8 = 10.8 yards.

So, after t minutes, the height of the ballon is given by:

[tex]h(t) = 100.2 - 10.8t[/tex]

Number of minutes it will take the balloon to reach an altitude of 57 yards.

This is t for which [tex]h(t) = 57[/tex]. So

[tex]h(t) = 100.2 - 10.8t[/tex]

[tex]57 = 100.2 - 10.8t[/tex]

[tex]10.8t = 43.2[/tex]

[tex]t = \frac{43.2}{10.8}[/tex]

[tex]t = 4[/tex]

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

Answer:

sum of all angle= 180 given angle = 3 X, 10 X AND 7 X

3X + 10X + 7X = 180

20X = 180

X= 180/20

X = 9

X= 9 IS apply to given angle 3X, 10 X  , 7X

3X = 3 ×9=27

10X = 10 ×9 = 90

7X = 7 ×9 =63

ANS IS 27,90,63

Step-by-step explanation: