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polet [3.4K]
3 years ago
5

Lester baked 14 cookies with 2 scoops of flour. With 3 scoops of flour, how many cookies can Lester bake? Assume the relationshi

p is directly proportional.
Mathematics
1 answer:
storchak [24]3 years ago
5 0

Answer:

21 cookies

Step-by-step explanation:

If 2 scoops of flour equals 14 cookies that means that 1 scoop equals 7 cookies!

7*3=21

Hope this help!

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Tina buys a briefcase online for 62.95. If shipping and handling are an additional 20% of the price, how much shipping and handl
Alexxandr [17]

Answer:

Tina will pay $12.95 for shipping and handling.

Step-by-step explanation:

Because you literally just have to multiply $62.95 by .2 and you have your answer.

4 0
2 years ago
The average THC content of marijuana sold on the street is 9.3%. Suppose the THC content is normally distributed with standard d
velikii [3]

Answer:

a) X \sim N(9.3,1)  

b) P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z

c) The value of height that separates the bottom 75% of data from the top 25% is 9.9745.  

Step-by-step explanation:

1) 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".  

2) Part a

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

X \sim N(9.3,1)  

Where \mu=9.3 and \sigma=1

3) Part b

We are interested on this probability

P(X>9.2)

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>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z

4) Part c

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.6745. On this case P(Z<0.6745)=0.75 and P(z>0.6745)=0.25

If we use condition (b) from previous we have this:

P(X  

P(Z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.6745

And if we solve for a we got

a=9.3 +1*0.6745=9.9745

So the value of height that separates the bottom 75% of data from the top 25% is 9.9745.  

8 0
3 years ago
Solve 3x+2y=-2 for x and y intercepts and then graph it.
Serhud [2]

Answer:

p

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help me i would appreciate it
Zielflug [23.3K]

Answer: oh gosh,  rlly bad at math...  let me do the maths quick, and will edit my answer to the correct answer i dont  have enough time, -7a+11

Step-by-step explanation:

4 0
3 years ago
Isolate the absolute value expression in the following equations to determine if they can be solved if so find and graph the sol
aev [14]

Answer:

x=-4

Step-by-step explanation:

2(|x+4|+3)=6

take out absolute value

2(x+4+3)=6

remove parrenthesis

2x+8+6=6

Simplify

2x+14=6

    -14  -14

2x=-8

x=-4

Hope this helps!!!!!

4 0
3 years ago
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