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
GalinKa [24]
4 years ago
15

Assume that females have pulse rates that are normally distributed with a mean of

Mathematics
1 answer:
juin [17]4 years ago
5 0

Step-by-step explanation:

a. First, find the z-score.

z = (x − μ) / σ

z = (80 − 74.0) / 12.5

z = 0.48

Use a calculator or table to find the probability.

P(z < 0.48) = 0.6844

b. Find the standard deviation of the sample.

σₓ = σ / √n

σₓ = 12.5 / √4

σₓ = 6.25

Find the z-score.

z = (x − μ) / σ

z = (80 − 74.0) / 6.25

z = 0.96

Use a calculator or table to find the probability.

P(z < 0.96) = 0.8315

c. When the distribution of the population is normal, then the distribution of the sample mean is also normal.

You might be interested in
HELP ASAP GET 5 POINTS
tamaranim1 [39]
5 because 2 - -3 = 5.
8 0
3 years ago
Read 2 more answers
2. What is the variable in the expression:<br> 13x3 +7<br> (Select one answer)<br> 7<br> 3<br> 13
sdas [7]
I think it would be 3
3 0
3 years ago
Can you help me in this plz ​
Kipish [7]

Answer:

£ 38,110

Step-by-step explanation:

We need to find salary for 1 year (12 months).

  • Monthly Salary = 1410, so yearly would be:

1410 * 12 = 16,920

  • 26% of total profit. Let's find the profit first:

Profit is Income - Cost

So, that would be (from table):

Profit = 549000 - 473500 = 75,500

26% of that would be:

26/100 = 0.26

0.26 * 75,500 = 19,630

  • 390 bonus for each month she sells atleast 16 cars

Out of 12 months (1 year), she sold at least 16 cars in 4 months, so she gets bonus of 390 for those 4 months, that would make:

390 * 4 = 1560

Total Pay for the year would be summation of all these:

Total Pay = 16,920 + 19,630 + 1560 = £ 38,110

5 0
3 years ago
Suppose the size of a population of mustard plants is 6,000. According to genetic drift theory, what is the probability that a n
andre [41]

Answer:

1/12,000

Step-by-step explanation:

Data provided in the question:

Size of a population of mustard plants = 6,000

Now,

According to genetic drift theory

The probability that a newly-arisen mutation will become fixed is given using the formula

⇒ 1 ÷ [ 2 × Size of a population of mustard plants ]

⇒ 1 ÷ [ 2 ×6,000 ]

⇒ [ 1 ÷ 12,000 ]

Hence,

probability that a newly-arisen mutation will become fixed in this population is 1/12,000

3 0
3 years ago
The equations -6x + 3y = 6 and x² + y = 10 intersect at the
eimsori [14]

The values of the letters in coordinates (a, b) and (c,d) are;

<u><em>a = -4</em></u>

<u><em>b = -6</em></u>

<u><em>c = 2</em></u>

<u><em>d = 6</em></u>

<u><em /></u>

We are given two equations;

-6x + 3y = 6  ---(eq 1)

x² + y = 10 ---(eq 2)

  • We are told that they intersect at coordinates; (a, b) and (c, d).

Let us make y the subject in eq 2 to get;

y = 10 - x²  --(eq 3)

  • Let us put 10 - x² into eq 1 to get;

-6x + 3(10 - x²) = 6

expanding further gives;

-6x + 30 - 3x² = 6

rearranging gives;

3x² + 6x - 24 = 0

Using online quadratic equation <em>solver</em>, we have;

x = -4 and x = 2

Putting x = -4 into eq 3 gives;

y = 10 - (-4)²

y = 10 - 16

y = -6

Putting x = 2 into eq 3 gives;

y = 10 - (2)²

y = 10 - 4

y = 6

  • Thus, the coordinates are; (-4, -6) and (2, 6)

Comparing with (a, b) and (c,d), we have;

a = -4

b = -6

c = 2

d = 6

Read more at; brainly.com/question/15165519

5 0
3 years ago
Other questions:
  • Could a triangle have side lengths of 1.2 ft 1.9ft and 3.1 ft
    13·1 answer
  • a car sells for $16,000. if rate depreciation is 18%, find the value of the car after 8 years.round to the nearest penny
    12·1 answer
  • Aaron is 53 ž inches tall. His friend Xaviar was 48.75 inches tall, but grew 2 inches over
    8·1 answer
  • How many milligrams are equal to 200 grams?
    6·2 answers
  • What is 4 divided by 5/7
    5·1 answer
  • The decimal equivalent of 5/3 is a repeating decimal​
    7·1 answer
  • If f(x) = 5x + 2x and g(x) = 3x - 6, find (f+g)(x).
    6·1 answer
  • A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe ea
    6·2 answers
  • FS Math FS LV2 Volume Problems Q1. The swimming pool is in the shape of a cuboid 20 metres long and 8 metres wide. It is filled
    13·1 answer
  • What is the mean of the numbers 6 4 9 6 7 10 7​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!