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bazaltina [42]
3 years ago
12

Based on the graph, How many calories are in 1 piece of candy?

Mathematics
2 answers:
Ray Of Light [21]3 years ago
8 0
It is lower then 20 so most likely C (15)
mamaluj [8]3 years ago
4 0
15, it’s less than 20 for sure
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Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to
polet [3.4K]

Answer:

(a) The probability that X is at most 30 is 0.9726.

(b) The probability that X is less than 30 is 0.9554.

(c) The probability that X is between 15 and 25 (inclusive) is 0.7406.

Step-by-step explanation:

We are given that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked. A random sample of 200 shafts is taken.

Let X = <u><em>the number among these that are nonconforming and can be reworked</em></u>

The above situation can be represented through binomial distribution such that X ~ Binom(n = 200, p = 0.11).

Here the probability of success is 11% that this much % of all steel shafts produced by a certain process are nonconforming but can be reworked.

Now, here to calculate the probability we will use normal approximation because the sample size if very large(i.e. greater than 30).

So, the new mean of X, \mu = n \times p = 200 \times 0.11 = 22

and the new standard deviation of X, \sigma = \sqrt{n \times p \times (1-p)}

                                                                  = \sqrt{200 \times 0.11 \times (1-0.11)}

                                                                  = 4.42

So, X ~ Normal(\mu =22, \sigma^{2} = 4.42^{2})

(a) The probability that X is at most 30 is given by = P(X < 30.5)  {using continuity correction}

        P(X < 30.5) = P( \frac{X-\mu}{\sigma} < \frac{30.5-22}{4.42} ) = P(Z < 1.92) = <u>0.9726</u>

The above probability is calculated by looking at the value of x = 1.92 in the z table which has an area of 0.9726.

(b) The probability that X is less than 30 is given by = P(X \leq 29.5)    {using continuity correction}

        P(X \leq 29.5) = P( \frac{X-\mu}{\sigma} \leq \frac{29.5-22}{4.42} ) = P(Z \leq 1.70) = <u>0.9554</u>

The above probability is calculated by looking at the value of x = 1.70 in the z table which has an area of 0.9554.

(c) The probability that X is between 15 and 25 (inclusive) is given by = P(15 \leq X \leq 25) = P(X < 25.5) - P(X \leq 14.5)   {using continuity correction}

       P(X < 25.5) = P( \frac{X-\mu}{\sigma} < \frac{25.5-22}{4.42} ) = P(Z < 0.79) = 0.7852

       P(X \leq 14.5) = P( \frac{X-\mu}{\sigma} \leq \frac{14.5-22}{4.42} ) = P(Z \leq -1.70) = 1 - P(Z < 1.70)

                                                          = 1 - 0.9554 = 0.0446

The above probability is calculated by looking at the value of x = 0.79 and x = 1.70 in the z table which has an area of 0.7852 and 0.9554.

Therefore, P(15 \leq X \leq 25) = 0.7852 - 0.0446 = 0.7406.

5 0
3 years ago
Suppose you roll a die. What is the probability that you do not roll a 4?
7nadin3 [17]

Answer:

5/6

Step-by-step explanation:

There are six sides on a die, and they are asking the probability of not rolling a 4. So it would be 5 out of 6

Have a good day :)

6 0
2 years ago
A square and a rectangle have the same perimeter. Find the side lengths of each figure.
aliina [53]
X + 1 + X + 1 + X +1+ X +1 = 2X -3+ 2X -3+ X -1+ X -1
4x + 4 = 4x-6+2x-2
4x+4=6x-8
12=2x
6=x

Side lengths:
6-1=5
6+1=7
2(6)-3=9

Hope that helps! Stay safe!
4 0
3 years ago
Read 2 more answers
On Saturday Stella worked for two hours helping her mother in the house. she spent 1/3 of her time doing laundry, 1/4 of a time
raketka [301]
\bf \stackrel{\textit{total hours time}}{2}-\cfrac{1}{3}-\cfrac{1}{4}\impliedby \textit{we'll use an LCD of \underline{12}}&#10;\\\\\\&#10;2-\cfrac{1}{3}-\cfrac{1}{4}\implies \cfrac{(12\cdot 2)~-~(4\cdot 1)~-~(3\cdot 1)}{12}\implies \cfrac{24-4-3}{12}\implies \cfrac{17}{12}&#10;\\\\\\&#10;\textit{12 goes into 17 \underline{1 time} and it has a \underline{remainder} of 5 }\implies 1\frac{5}{12}

which is one hour and 25 minutes.
7 0
3 years ago
Which number is a solution of the inequality c &gt; 5?<br><br> A) 2<br> B) 2.5<br> C) 5<br> D) 6.5
Reil [10]

Answer:

6.5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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