Answer:
a) The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.
b) No, it is unlikely that smoking habits and waking up early to go to the gym on Saturday are independent.
Step-by-step explanation:
To calculate the expected numbers of smokers in a sample with size n=140 and proportion p=12%, we use the expected value of the binomial distribution:
The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.
If we take a sample at the opening of the gym, the sample is not expected to be representative of the population of the students. Most of the students that go to the gym usually have healthy habits, so the proportions of smokers is expected to be lower than the average of the university population.
Answer:
The number of seashells he have in his collection all together is <u>140</u>.
Step-by-step explanation:
Given:
Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.
Stanley has 49 seashells from Florida.
Now, to find the number of seashells of his collection altogether.
Let the number of seashells all together be
Percentage of seashells found on Florida beaches = 35%.
Number of seashells found on Florida beaches = 49.
Now, to get the number of seashells altogether we put an equation:
⇒
⇒
⇒
Dividing both sides by 0.35 we get:
⇒
Therefore, the number of seashells he have in his collection all together is 140.
Answer:
x = 24
Step-by-step explanation:
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
49 + b^2 = 625
<u>-49 -49</u>
b^2 = 576
square root them
b = 24, or x = 24
<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>
<em><u>-XxDeathshotxX</u></em>
Answer:
(–5, 5)
Step-by-step explanation:
Start with the x-axis (left and right).
-5 so you go to the left by 5 steps.
Next is y-axis (up and down).
Without moving your spot in -5, you move up by 5 steps.
That is point F.
Tip: (x-axis, y-axis) or (left/right, up/down)
Negative number: Left or Down
Positive number: Right or Up
Given
s=16t^2
where
s=distance in feet travelled (downwards) since airborne with zero vertical velocity and zero air-resistance
t=time in seconds after release
Here we're given
s=144 feet
=>
s=144=16t^2
=>
t^2=144/16=9
so
t=3
Ans. after 3 seconds, the object hits the ground 144 ft. below.