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3 years ago

12

In a group of 33 students, 7 study both Art and Biology. 10 study Biology but not Art. 7 study neither subject. How many study A

rt?

1 answer:

netineya [11]3 years ago

4 0

Answer:

9

Step-by-step explanation:

You might be interested in

C) Si x representa un número, escribe una

lawyer [7]

YAnswer:

Step-by-step explanation:

3 0

4 years ago

You build and sell toy cars for $36 each. So far, you have built 25 toy cars. How many more toy cars will you have to build and

Naily [24]

Multiple what you have already: 36x25 = 900
Subtract that from how much you need to earn:
1620-900=720
Divide how much more money you need by how much money each car is:
720/36= 20

You need 20 more cars

3 0

3 years ago

Read 2 more answers

Which of the following statements is true for the logistic differential equation?

solong [7]

Answer:

All of the above

Step-by-step explanation:

dy/dt = y/3 (18 − y)

0 = y/3 (18 − y)

y = 0 or 18

d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)

d²y/dt² = dy/dt (-y/3 + 6 − y/3)

d²y/dt² = dy/dt (6 − 2y/3)

d²y/dt² = y/3 (18 − y) (6 − 2y/3)

0 = y/3 (18 − y) (6 − 2y/3)

y = 0, 9, 18

y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.

y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.

8 0

3 years ago

Making handcrafted pottery usually takes two major steps:wheel throwing and firing. The time of wheel throwing and thetime of fi

levacccp [35]

Answer:

a) $P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:

$R \sim N(40+60 = 100,\sqrt{2^2 +3^2}= 3.606 s)$

Where $\mu=65.5$ and $\sigma=2.6$

We are interested on this probability

$P(R$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{R-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

Part b

$P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

8 0

3 years ago

Read 2 more answers

Maria finishes ¾ of the race in 6 hours. How long was the entire race?

GuDViN [60]

Answer:

We are asked to find the duration of entire race. As Rachel finished of the race in 6 hours, so of x will be equal to 6. Therefore, the duration of entire race was 8 hours.

( i looked this up but that is the answer i dont take any credit for this answer)

6 0

3 years ago