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Oduvanchick [21]
3 years ago
9

The weights of steers in a herd are distributed normally. The standard deviation is

Mathematics
1 answer:
hram777 [196]3 years ago
5 0

Answer:

0.9317

Step-by-step explanation:

Standard deviation of the weights = \sigma=100 lbs

Mean weight = u = 1200 lbs

We need to find the probability that the weight(x) of a randomly selected steer is between 1000 lbs and 1369 lbs i.e. P(1000 < x < 1369)

Since, weights follow the normal distribution we can use the z values to find the required weight. For this we have to convert both the values to z score. The formula for z scores is:

z=\frac{x-u}{\sigma}

1000 converted to z scores is:

z=\frac{1000-1200}{100}=-2

1369 converted to z scores is:

z=\frac{1369-1200}{100}=1.69

So, we have to find the values from z table that lie between -2 to 1.69

P( 1000 < x < 1369 ) = P(-2 < z < 1.69)

P(-2 < z < 1.69) = P(z < 1.69) - P(z < -2)

From the z table:

P(z < 1.69) = 0.9545

P(z < -2) = 0.0228

So,

P(-2 < z < 1.69) = 0.9545 - 0.0228 = 0.9317

Thus,

P( 1000 < x < 1369 ) = 0.9317

From this we can conclude that:

The probability that the weight of a randomly selected steer is between 1000 lbs and 1369 lbs is 0.9317

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Each day, a factory produces a total of 280 containers of ice cream. The flavors are vanilla, chocolate, and strawberry. Each da
GalinKa [24]

Answer:

The correct equation in terms of s is: 4s=260

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  • The number of chocolate ice cream produced per day ,c=130.
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Step-by-step explanation:

Let the number of containers of strawberry ice cream produced per day=s

Let the number of containers of vanilla ice cream produced per day=v

Let the number of containers of chocolate ice cream produced per day=c

Total Number of Ice Cream Containers=280

  • s+v+c=280

Given:

The factory produces twice as much chocolate ice cream as strawberry ice cream. This is written as:

  • c=2s

The factory produces 20 more containers of vanilla ice cream than strawberry ice cream. This is written as:

  • v=s+20

Therefore substituting c=2s and v=s+20 into the first equation: s+v+c=280

s+s+20+2s=280

4s=280-20

4s=260

Divide both sides by 4

s=65

The number of strawberry ice cream produced per day is 65.

The number of chocolate ice cream produced per day =2s=2(65)=130.

The number of vanilla ice cream produced per day =s+20=65+20=85.

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3 years ago
Square root of 87 to the nearest 10th
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Answer:

9.3

Step-by-step explanation:

Step 1: Calculate. We calculate the square root of 87 to be: √87 = 9.32737905308882.

Step 2: Reduce. 9.32.

Step 3: Round. Round 9.32 so you only have one digit after the decimal point to get the answer: 9.3.

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3 years ago
Which model shows all of these numbers correctly placed one the number line
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Answer:

2nd

Step-by-step explanation:

bec 1\8  = 0.125 so it must be close more to 0

and the 1.33 is bigger than 1.25

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3 years ago
Suppose you can work at most a total of 25 hours per week. Baby-sitting, x, pays $6 per hour and working at the grocery store, y
Andrei [34K]

Answer:

<u><em>y=7  </em></u><u>number of hours at grocery store</u>

<u><em>x=18 </em></u><u>number of hours at baby- sitting</u>

Step-by-step explanation:

According to the information provided.

x is number of hours at baby- sitting

y is number of hours at grocery store

total number of hours worked

<em>1) </em><em>x+y =25</em>

total earn in a week

<em>2) </em><em>x*$6 + y* $9 = $171</em>

<em />

<em>from equation 1</em>

x+y=25

x= 25-y

<em>we place the above derived equation in equation 2 </em>

x*$6 + y* $9 = $171

(25-y)*$6 + y* $9 = $171

(25*6) -6y +9y =171

150+3y=171

3y=171-150

3y=21

<u><em>y=7  </em></u><u>number of hours at grocery store</u>

x= 25-y

x= 25-7

<u><em>x=18 </em></u><u>number of hours at baby- sitting</u>

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3 years ago
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