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sladkih [1.3K]
3 years ago
12

Rylee has a pack of 40 ballons. In the pack, there are 7 red, 12 green, 11 blue, and 10 yellow balloons. When grabbing a balloon

, she expects to grab a yellow ballon of the time.
Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

If she expects yellow, the probability of that happening is 10/40 = 1/4

So if she draws 4 balloons she should expect to get 1 yellow one.

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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

A=(1500-2y)y\\\\A=1500y-2y^2 .....(3)

For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

A =1500(375)-2(375)^2\\A=281250\ m^2

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0
3 years ago
How do i do this? And whats the answer
sveticcg [70]

Step-by-step explanation:

just guess and see

7 0
3 years ago
Jeff is shopping for a new T-shirt at a clothing store. The graph shows the total price for the shirts depending on how many T-s
Artyom0805 [142]

Answer:

$ 63

Step-by-step explanation:

All you have to do is see what point of the line falls right above 7, and then see what number corresponds to that point.



Hope it helped,



BioTeacher101

6 0
3 years ago
Read 2 more answers
The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th
zlopas [31]

Answer:

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=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".  

Solution to the problem  

Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:  

X \sim N(10,2)  

Where \mu=10 and \sigma=2  

We are interested on this probability  

P(X>8)  

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

z=\frac{x-\mu}{\sigma}  

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

P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)  

And we can find this probability with the complement rule:  

P(Z>-1)=1-P(Z  

5 0
4 years ago
Please explain your answer.
guapka [62]
I think that the answer would be B beacuse both of them are negitive
8 0
3 years ago
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