All categories

3 years ago

Select all the correct answers.

Mathematics

1 answer:

kow [346]3 years ago

6 0

Answer:

parallelogram, quadrilateral, rhombus

Step-by-step explanation:

opposite sides are parallel and equal

You might be interested in

f a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8%, can we use the Normal a

Troyanec [42]

Answer:

Probability of at least 50 obese individuals in our sample is 0.92364 .

Step-by-step explanation:

We are given that a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8% .

Let X = Number of obese individuals

Firstly, X ~ $Binom(n=300,p=0.198)$

For approximating binomial distribution into normal distribution, firstly we have to calculate $\mu$ and $\sigma^{2}$ .

Mean of Normal distribution, $\mu$ = n * p = 300 * 0.198 = 59.4

Variance of Normal distribution, $\sigma^{2}$ = n * p * (1-p) = 300 *0.198 *0.802 = 47.64

So, now X ~ N( $\mu = 59.4 , \sigma^{2} = 47.64$ )

The standard normal z score distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

So, probability of at least 50 obese individuals in our sample = P(X >= 50)

P(X >= 50) = P(X > 49.5) {using continuity correction}

P(X > 49.5) = P( $\frac{X-\mu}{\sigma}$ > $\frac{49.5 - 59.4}{6.9}$ ) = P(Z > -1.43) = P(Z < 1.43) = 0.92364

Therefore, required probability is 0.92364 .

8 0

3 years ago

What is the exact volume of a cylinder whose radius is 21 centimeters and whose height is 30 centimeters?

olga nikolaevna [1]

Volume of cylinder
v = πr²
v = 22/7 x 21²
v = 1385.441 cm³

4 0

3 years ago

Solve the following systems of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the

kodGreya [7K]

Answer:

(4, 1)

Step-by-step explanation:

3x+4y=16 /*4

-4x-3y= - 19 /*3

12x + 16y = 64

7y = 7

y = 1

3x+4y=16

3x + 4*1 = 16

3x = 16 - 4

3x = 12

x = 4

4 0

3 years ago

How to Become a Millionaire Upon graduating from col- lege, Donna has no initial capital. However, during each year she makes de

lesantik [10]

Answer:

amount is 1000 × $e^{0.08t}$

$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

Step-by-step explanation:

principal = $1000

rate = 8 % = 0.08

to find out

the future value, S(t)

principal when Donna's account will be 1 million dollars when she retires in 40 year

at what rate Donna's account will have a balance of 1 million dollars in 40 years

solution

we know compounded continuously formula i.e.

amount = principal × $e^{rt}$ ..................1

put the value principal and rate in equation 1 to find amount any time

amount = principal × $e^{rt}$

amount = 1000 × $e^{0.08t}$

in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal

rt = 0.08 × 40 = 3.2

amount = principal × $e^{rt}$

1000000 = principal × $e^{3.2}$

principal = 1000000 / $e^{3.2}$

principal = 1000000 / 24.5325302

principal = 40762.20397

so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate

amount = principal × $e^{rt}$

1000000 = 2500 × $e^{40r}$

take ln both side

ln $e^{40r}$ = ln (1000000 / 2500 )

40 r = ln 400

r = ln (400) / 40

r = 0.149787

so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

5 0

3 years ago

Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)<br><br> 30 points

pentagon [3]

Answer:

hope this helps .keep on learning

6 0

3 years ago