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xxTIMURxx [149]
3 years ago
11

The weight of laboratory mice follows a normal distribution, with a mean of 0.68 ounce and a standard deviation of 0.02 ounce. W

hat percentage of the mice weigh between 0.62 ounce and 0.74 ounce?
A.99.7%
B.95%
C.68%
D.47.5%
E.34%
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

A.99.7%

Step-by-step explanation:

We are given;

  • Mean of a distribution, μ as 0.68 ounce
  • Standard deviation, σ as 0.02 ounce
  • The range values of X between 0.62 ounce and 0.74 ounce

We are required to calculate the percentage of the weight to be between 0.62 ounce and 0.74 ounce

Step 1: Calculate the Z-score

To get the Z-score we use the formula;

Z-score = (x-μ)/σ

Therefore, when x = 0.62

Then z score = (0.62 - 0.68 ) ÷ 0.02

                     = -3

When, x = 0.74

Then, Z score = (0.74 - 0.68) ÷ 0.02

                       = 3

Step 2:  we use the Z-score table or the empirical rule

Using the Z-score table;

P(-3 < z < 3) = 99.7%.

Therefore; the percentage of mice that weigh between 0.62 ounce and 0.74 ounce is 99.7%.

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What is the solution of the equation n/10 = 7?<br><br>n= ____​
ozzi

Answer:

n = 70

Step-by-step explanation:

n/10 = 7

Multiply each side by 10

n/10 *10 = 7*10

n = 70

3 0
2 years ago
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A boat is heading towards a lighthouse, whose beacon-light is 139 feet above the
Novay_Z [31]

The horizontal distance between light house and boat is 1588.78 feet approximately.

The figure is given by,

Here, AB  = height of the lighthouse bacon light above the water = 139 feet

Now angle ACB = 5 degree

Let the horizontal distance of light house from the boat = BC = x feet

So by trigonometric function we get,

tan 5 = AB/BC

tan 5 = 139/x

x = 139/tan 5 = 1588.78 (approximately)

Hence the horizontal distance between light house and boat is 1588.78 feet approximately.  

To know more about Trigonometric Function refer to:

brainly.com/question/1143565

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5 0
1 year ago
Adding the fractions<br><br> 3/14+2/21+1/6
NARA [144]

Answer:

\frac{10}{21}

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

\frac{3(3)}{14(3)} + \frac{2(2)}{21(2)} + \frac{1(7)}{6(7)}

= \frac{9}{42} + \frac{4}{42} + \frac{7}{42} ← add the numerators, leaving the denominator

= \frac{9+4+7}{42}

= \frac{20}{42} ← divide both values by 2

= \frac{10}{21} ← in simplest form

6 0
3 years ago
A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. Wh
dezoksy [38]

Answer:

<em>40</em>

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2\times 2)

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes \times Number of doors options  \times Number of exterior colors

2 \times 2 \times 10 = <em>40</em>

3 0
3 years ago
Y'all I need help with this !!!
Zanzabum

Answer:

see explanation

Step-by-step explanation:

The opposite angles of an inscribed quadrilateral are supplementary, thus

5x + 20 + 7x - 8 = 180

12x + 12 = 180 ( subtract 12 from both sides )

12x = 168 ( divide both sides by 12 )

x = 14

Thus

∠ RQP = 10x = 10(14) = 140°

∠PSR = 180° - 140° = 40° ( opposite angles are supplementary )

∠ SRQ = 7X - 8 = 7(14) - 8 = 98 - 8 = 90°

∠ QPS = 5x + 20 = 5(14) + 20 = 70 + 20 = 90°

6 0
2 years ago
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