1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhenek [66]
3 years ago
13

Use technology or a z-score table to answer the question.

Mathematics
1 answer:
Alik [6]3 years ago
3 0

Answer:

The second choice: Approximately 65.2\% of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each z entry has two decimal places.

Let \mu represent the mean of a normal distribution of variable X. Let \sigma be the standard deviation of the distribution. The z-score for the observation x would be:

\displaystyle z = \frac{x - \mu}{\sigma}.

In this question,

  • \mu = 240.
  • \sigma = 9.3.

Calculate the z-score for x_1 = 225 and x_2 = 245. Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}.

\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}.

The question is asking for the probability P(225 \le X \le 245) (where X is between two values.) In this case, that's the same as P(-1.61 \le Z \le 0.54).

Keep in mind that the probabilities on many z-table correspond to probability of P(Z \le z) (where Z is no greater than one value.) Therefore, apply the identity P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1) to rewrite P(-1.61 \le Z \le 0.54) as the difference between two probabilities:

P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61).

Look up the z-table for P(Z \le 0.54) and P(Z \le -1.61):

  • P(Z \le 0.54)\approx 0.70540.
  • P(Z \le -1.61) \approx 0.05370.

\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}.

You might be interested in
Help! Mathematics answer? Will give brainliest and some good points, Algebra I
skad [1K]
The answer is B.

Hope it helps!
8 0
3 years ago
Please give me the correct answer.​
nydimaria [60]

Answer:

The third one which is the one on the bottom to the right under 34 the ont he bottom

7 0
3 years ago
A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The
AleksAgata [21]
The problem says that the expression (3x + 5)(5x − 1) <span>represents the area of the floor of the building in square meters. Therefore,  to solve this problem you have to follow the proccedure shown below.

 1. First, to simplify the expression (3x + 5)(5x − 1) you must apply the distributive property. Then, you obtain:

 15x</span>²-3x+25x-5

 2. Then, you have:

 15x²+22x-5

 3. As you can see, the correct answer is the last option:  15x²+22x-5
7 0
3 years ago
WILL GIVE BRAINLIEST PLEASE HELP A snake dives towards deeper water at a rate of 14 inches per second. If the snake continues at
Zinaida [17]

Answer:

A

Step-by-step explanation:

It's asking to see how far it will go in 6 seconds, and it's travelling downward.

4 0
3 years ago
The product of -2 and a number x is greater than 30 Write the word sentence as a inequality, then solve inequality, thank you!
anygoal [31]
-2x > 30 

x > -15 (??)
7 0
3 years ago
Other questions:
  • When all probabilities in a probability model are not the same, it is called a ?
    11·1 answer
  • a rental car agency charges a flat fee of $110 plus $46 per day to rent a certain car. another agency charges a fee of $70 plus
    9·2 answers
  • Square GYTD has vertices G(-4,3) ; Y(0, 3) , T(0, -1) and D(-4, -1) . square GYTD is translated 2 units left and 2 units up what
    10·1 answer
  • Drag steps and expressions into place to explain and show how to evaluate a • b for a = 5 and b = 8.
    8·1 answer
  • 56x7 divided by 10 will give 15 ppoints
    10·2 answers
  • Please show me how to do this ? Thank you :)
    11·1 answer
  • Y=3x+5 and y=3x-10
    6·1 answer
  • The diagram shows a circle inside a square. work out the area of the circle
    5·1 answer
  • Rodney can wash 24 windows in an hour how many windows can he wash in 1/8 of an hour
    6·1 answer
  • Write each verbal expression as an algebraic expression.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!