Answer:
Kayla will be able to cover the distance of 200 miles by riding bike for 11 days and by running for 15 days.
Step-by-step explanation:
Numbers of days Kayla's has to run be x
Numbers of days Kayla's has to ride bike be y
Speed while running = 6 miles/day
Distance covered by running in x days = 6miles/day × x
Speed while riding a bike = 10 mile/day
Distance covered by riding bike in y days = 10 miles/day × y
Distance desired by Kayla to cover = 200 miles
At least 15 of the days running.Put x = 15 days in above equation:
y= 11 days
Kayla will be able to cover the distance of 200 miles by riding bike for 11 days and by running for 15 days.
Answer:
2.28%
Step-by-step explanation:
Let X be the number of books borrowed from a library each week
Given that X is normal with mean = 190 and std dev = 30
Thus Z score would be
Z=
Required probability or chance = P(X>250)
=P(
=P(Z>2)
=0.5-0.4772
=0.0228
=2.28%
Answer:
<em>(–81, 9), (–36, 6), (–1, 1) </em> are the correct three points.
Step-by-step explanation:
Given the function:
Please refer to the attached image.
The green line shows the graph of actual function.
It is reflected over y axis.
The reflected graph is shown in black color in attached image.
When reflected over y axis, the sign of variable changes from Positive to Negative.
So, the resultant function becomes:
i.e. we will have to give the values of x as negative now.
so, the options in which value of x is negative are the possible answers only.
The possible answers are:
(–81, 9), (–36, 6), (–1, 1) and
(–49, 7), (–18, 9), (–1, 1)
Now, we will check the square root function condition.
In the 2nd option, (–18, 9) does not satisfy the condition.
So, the correct answer is:
<em>(–81, 9), (–36, 6), (–1, 1)</em>
Answer:
The number of customer needed to achieve is 34
Step-by-step explanation:
Given as :
The number of customer per hour = 8
The time taken = 8 hours
The rate of increase = 20 %
Let The increase in number of customer after 20 % increment = x
So , The number of customer after n hours = initial number ×
or, The number of customer after 8 hours = 8 ×
or, The number of customer after 8 hours = 8 × 4.2998
∴The number of customer after 8 hours = 34.39 ≈ 34
Hence The number of customer needed to achieve is 34 answer
Answer:
First option is correct.
Step-by-step explanation:
Let amounts of money James may have after he sees Rita be x.
It is given that either James borrowed $12 from his friend Rita or she borrowed $12 from him.
So meeting Rita second time either he will $12 or he will receive $12.
The amounts of money James may have after second meeting with Rita is:
Case 1: If he pays $12.
.... (1)
Case 1: If he receives $12.
.... (2)
On combining equation (1) and (2), we get
Subtract 42.80 from both sides.
It can be written as
Therefore first option is correct.