What is the answer to the angle BD?

The balance at the end of one years is; $502.5. The equation that that represents the balance in the account is $500 x (1.005)^1

The amount of money in the bank account would grow at an exponential rate. then the formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = Future value

P = Present value

R = interest rate

N = number of years

We are given that bank account pays 0.5% monthly interest. If $500 is put in the account, it will the balance be at the end of one year,

$500 x (1 + 0.5/100)^1

$500 x (1.005)^1

= $502.5

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Answer: $530.84

Step-by-step explanation: The principal is $500 with 0.5% added MONTHLY. One year has 12 months so we must calculate the interest for 12 months.

$500(1.005)^12 = $530.838 which rounds to $530.84

Answer:

C; 6 cubic ft.

Step-by-step explanation:

theres 6 cubes and each are 1 feet 2^ so therefore 6 times 1 = 6 ft. 2^

Answer:

22

Step-by-step explanation:

22.5 is more accurate

Answer:

There are 479,001,600 arrangments of 12 distinct items.

Step-by-step explanation:

Arrangements of n items:

The number of possible arrangements of n itens is given by the factorial of n, that is:

[tex]A_{n} = n![/tex]

12 items:

[tex]A_{12} = 12! = 479001600[/tex]

There are 479,001,600 arrangments of 12 distinct items.

Answer:

2,800

Step-by-step explanation:

Just add 1,600 and 1,200 I think. I could be wrong good luck :)

Answer:

i do not know that one

Step-by-step explanation:

I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished  

Answer:

7

Step-by-step explanation:

-4 - -11 = 7

remember negative + or - equals a positive same way with a positive + or - positive will give you a  positive.

Answer:

0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.

Step-by-step explanation:

To solve this question, we need to know the Poisson and the normal distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.

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 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 Poisson distribution can be approximated to the normal with same means, and [tex]\sigma = \sqrt{\mu}[/tex]

1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend.

There are 600 graduating seniors. This means that the expected number of parents attending the ceremony is given by:

[tex]\mu = 600*(2*\frac{1}{3} + 1*\frac{1}{3} + 0*\frac{1}{3}) = 600(\frac{2}{3} + \frac{1}{3}) = 600(1) = 600[/tex]

And

[tex]\sigma = \sqrt{600}[/tex]

What is the probability that not more than 650 parents will attend the graduation ceremony?

Using continuity correction, as Poisson is a discrete distribution while the normal is continuous, this is [tex]P(X \leq 650 + 0.5) = P(X \leq 650.5)[/tex], which is the pvalue of Z when [tex]X = 650.5[/tex]. So

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

[tex]Z = \frac{650.5 - 600}{\sqrt{600}}[/tex]

[tex]Z = 2.06[/tex]

[tex]Z = 2.06[/tex] has a pvalue of 0.9803.

0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.

Answer:

(1/4)³

Step-by-step explanation:

Hope it helps you

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

Negative exponents means you bring the base to the denominator, which becomes a fraction.

[tex]4^{-3} \\=\frac{1}{4^{3}}[/tex]

The question wants us to write without an exponent.

The [tex]4^{3} = 4 * 4* 4=64[/tex]

So, it becomes:

[tex]\frac{1}{64}[/tex]

Answer:

...

Step-by-step explanation:ok first off im not good at math try ur best

everybodys smartVwV

Answer:

Answer as a fraction: 4/15

Answer as a decimal: 0.267

The decimal version is approximate rounded to three decimal places.

Step-by-step explanation:

6 apples, 4 peaches

6+4 = 10 pieces of fruit total

The probability of picking an apple is 6/10 = 3/5

After you pick and eat the apple, there are 10-1 = 9 pieces of fruit left. Also, the probability of picking a peach is 4/9, as there are 4 peaches out of 9 fruit left over.

Multiply out 3/5 and 4/9 to get (3/5)*(4/9) = (3*4)/(5*9) = 12/45 = 4/15

Using a calculator, 4/15 = 0.267 approximately.

Answer:

cos P = 71.09

Step-by-step explanation:

cos = [tex]\frac{adajcent}{hypotenuse}[/tex]

cos P = [tex]\frac{24}{74}[/tex]

cos P = 0.324

cos-1 of 0.324 is 71.09

cos P = 71.09

Answer:

3

Step-by-step explanation:

Answer how many hours did she work?

Step-by-step explanation:

Answer:

A. 4/6

Step-by-step explanation:

It's 4/6 because 4/6 is 2/3 just multiplied by 2.

Hope this helps. ; )

Answer:

2 divided by 3

Step-by-step explanation:

0.6 repeating

Answer:

B, 140

Step-by-step explanation:

Alright so if you know to do volume this should be a breeze!

First off what you want to do is find the volume of the outside prism.

V=whl=4·5·8=160

160

Then find the smaller prisms volume.

V=whl=1·5·4=20

20

Minus the smaller from the bigger

160-20=140

The answers B!

Answer:

The terms in #4 are 2500, 11t, and -3w

The terms in #5 are 17 and 4d

Answer:

x=36

Step-by-step explanation:

if PQR is isosceles then

PRQ will also equal 69 degrees

straight line = 180 degrees

so if PRQ is 69, then

PRS = 180-69

= 111 degrees

now to find x , since we have two angles within that triangle

180 - 111 - 33 = 36 degrees

Answer:

-r + 15

Step-by-step explanation:

3r + 15 - 4r =

-r + 15

Hope that helps!

This question is incomplete, the missing table is uploaded along this answer below.

Answer:

percentage of age reduction is 40

Option B) 40% is the correct answer

Step-by-step explanation:

Given the data in the question;

from the table in the image below;

sample x = 25.69 , 25.58 , 24.78 , 24.94 , 24.87 , 24.63 , 25.70 , 25.52 , 24.95 , 24.91

mean = ∑x/n

where n is sample size

= (25.69  + 25.58  +24.78  + 24.94  + 24.87  + 24.63  + 25.70  + 25.52  +24.95 ) / 10

= 251.57 / 10

mean u = 25.157

so;

S/N    Sample (X)       Mean (u)       (X-U)²

1            25.69              25.157      0.284089

2           25.58              25.157      0.178929

3           24.78              25.157       0.142129

4           24.94              25.157       0.047089

5           24.87              25.157       0.082369

6           24.63              25.157       0.277729

7           25.7                 25.157       0.294849

8           25.52              25.157       0.131769

9           24.95              25.157        0.042849

10          24.91               25.157       0.061009

Total     251.57                               1.54281

Mean  25.157

Sample Variance = ∑(x-u)²/n-1 = 1.54281 / (10 - 1) = 1.54281 / 9 = 0.1714

Standard deviation STD1 = √ (variance) = √0.1714 = 0.414

now, for 6-sigma capability, Cpk = 2

Cpk = min of ( USL - mean ) / 3×STD), (Mean - LSL) / 3×STD

since our mean is centered between USL and LSL;

Cpk = ( 26.5 - 25 ) / 3×STD2

we substitute

2 = ( 26.5 - 25 ) / 3×STD2

6STD2 = 1.5

STD2 =  1.5 / 6

STD2 = 0.25

so current standard deviation STD1 = 0.414

required standard deviation for 6-sigma process STD2 = 0.25

so percentage of age reduction will be;

⇒ ( 0.414 - 0.25 ) 0.414 = 0.164 / 0.414 = 0.396 ≈ 0.4

⇒ 0.4 × 100 = 40%

Therefore, percentage of age reduction is 40

Option B) 40% is the correct answer

Answer:

1. P= 12

2. A=6

3. 3.75

Step-by-step explanation:

Hope This Helped

Answer:

The sample standard deviation is 13.22°F

Step-by-step explanation:

Given - Often, frequency distributions are reported using unequal

            class widths because the frequencies of some groups would

            otherwise be small or very large. Consider the following​ data,

            which represent the daytime household temperature the

            thermostat is set to when someone is home for a random sample

            of households. Determine the class​ midpoint, if​ necessary, for

             each class and approximate the mean and standard deviation

             temperature.

Temp                    Frequency                        Class Midpoint

61-64                         34                                         63

65-67                         68                                         66.5

68-69                         196                                        69

70                              191                                         70.5

71-72                         122                                         72

73-76                          81                                           75

77-80                          52                                           79

To find - The sample standard deviation is _____degrees°F.

Proof -

Temp         Frequency(f)            Midpoint(m)           m×f        ( m - 70.73 )²×f

61-64                34                            63                   2142          2031.6

65-67                68                            66.5                4522           1216.7

68-69               196                            69                  13524          586.6

70                     191                           70.5               13465.5        10.1

71-72                122                           72                   8784             196.8

73-76                  81                            75                   6075             2224.4

77-80                  52                            79                    4108            3556.4

                   ∑f = 744                                    ∑m×f = 52620.5     ∑ = 9822.6

So, Mean = [tex]\frac{52620.5}{744}[/tex] = 70.73

Sample standard deviation = [tex]\frac{9822.6}{744 - 1} = \frac{9822.6}{743}[/tex] = 13.22

∴ we get

The sample standard deviation is 13.22°F

Answer:

B

Step-by-step explanation:

We have that for a normal distribution, the value of z can be calculated using the following formula:

z = (x - m) / sd

where x is the value to evaluate, m the mean and sd the standard deviation, we have those values x = 15.3, m = 17.4 and sd = 3.2

if we replace we have:

z = (15.3 - 17.4) /3.2

z = -0.65625

if we round to 2 decimal places, it would be -0.66, that is, the answer is B.

A Z-score helps us to understand how far the data is from the mean. The z-score of the given length of this fish is -0.66. The correct option is B.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

z-score = (x-μ)/σ

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

Given that the length of a species of fish is normally distributed, with a mean(μ) and the standard deviation(σ) is 17.4 cm and 3.2 cm. Therefore, the z-score of the length of this fish is,

z-score = (x-μ)/σ

            = (15.3 - 17.4) / 3.2

            = -2.1/3.2

            = -0.65625

            = -0.66

Hence, the z-score of the given length of this fish is -0.66.

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Answer:

c

Step-by-step explanation:

Measurement of triangle

The measure of the triangle is the sum of 3 interior angles of the triangle. This is always 180 degrees, as a triangle has 3 sides and 3 angles.

The measure of the three sides of the triangle can help in finding out the angles and similarly the three angles can help to find the length. If we consider two sides and then measure the angle then the triangle can't be solved.

Find out more information about the measurements of triangles.

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