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
mixas84 [53]
3 years ago
12

If a population of a certain type of animal has a mean of 44cm and a standard deviation of 3 cm what is the z-score for a member

of the population witha height of 38cm
Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

Answer:

The z-score is -2

Step-by-step explanation:

Here, we are asked to calculate the z-score of the height.

Mathematically, we can calculate z-score by using the formula below;

z-score = (x-mean)/SD

According to this question, mean = 44cm and SD = 3cm with x here = 38cm

Plugging these values into the z-score equation, we have

z-score = (38-44)/3 = -6/3 = -2

You might be interested in
An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.
Greeley [361]

Answer: 1) 0.6561    2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel.  : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}

=(1)(0.90)^4=0.6561

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

8 0
3 years ago
Our football team won 3/4 of the game that you played it was 12 games how many games did it play
Katen [24]

Answer:

24

Step-by-step explanation:

4 0
3 years ago
Can anyone help me please 3t-1/4=7/8
julsineya [31]
3t − 1/4 = 7/8

Add 1/4 to both sides.

3t + −1/4 + 1/4 = 7/8 + 1/4

3t = 9/8

Divide both sides by 3.

3t/3 = 98/3

t=3/8

3 0
3 years ago
Someone Hellppppp!!!
bekas [8.4K]
It's #2:  20n+100=$180
8 0
3 years ago
What is the measure of angle x? 30° a 구 3x​
Klio2033 [76]

Answer: 5

Step-by-step explanation:

da points

5 0
2 years ago
Other questions:
  • Plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss help
    12·1 answer
  • Which facts are true for the graph of the function below? Check all that apply.
    14·2 answers
  • Please help, I'm in Pre-Calc, reviewing Algebra stuff.
    5·1 answer
  • 1 liter of petrol cost r13.6 how many liter r200?
    14·1 answer
  • When combining like terms what is -9a + a?
    9·2 answers
  • What is the circumference of a circle with a radius of 6 meters?
    9·1 answer
  • In a clothing store, 75% of the customers buy a shirt, 20% of the customers buy a pair of pants, and 15% of the customers by bot
    13·1 answer
  • Find the value for x
    9·1 answer
  •  solve for x x/9−5=5<br><br>x=​
    11·2 answers
  • In creating the shooter-style game comparable to Space Invaders, we decided that each time the laser hits an object, the player
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!