Answer:
R = (- 3.5, - 7 )
Step-by-step explanation:
Using the Section formula
=
=
=
= - 3.5
=
=
=
= - 7
Thus coordinates of R = (- 3.5, - 7 )
Answer: Rs. 1,52,550
Step-by-step explanation:
CP of motorcycle = 125000
Selling Price fixed = 125000 + 20% = 150000
10% discount = 150000*10% = 15000
SP after 10% discount
= 150000-15000= 135000
VAT at 13% = 135000 * .13 = 17550
Mr Gurung paid total
135000 + 17550 = 152550
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
Given:
A triangle JKL .
Measure of exterior angle K = 83 degrees
We have to find the measure of
.
In
we see that the exterior angle is in linear pair with
.
Note:
Linear pair angles sum is 180 degree.
Let
be 'x' degrees .
So,
⇒ 
⇒ <em>Subtracting 83 from both sides.</em>
⇒ 
⇒ 
⇒
degrees
The measure of angle JKL in the triangle is of 97 degrees.
Answer: OPTION D.
Step-by-step explanation:
You know that Lindy's total cost can be found using this expression provided in the exercise:

Where "d" is the number of drinks she orders and "t" is the number of toppings for a medium pizza she orders.
Since she and her friends to order 4 drinks and a medium pizza with 3 toppings, you can find the total cost by substitute values into the given expression.
The values are:

Substituting into the expression and evaluating, you get:

Answer:
The minimum height in the top 15% of heights is 76.2 inches.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Find the minimum height in the top 15% of heights.
This is the value of X when Z has a pvalue of 0.85. So it is X when Z = 1.04.




The minimum height in the top 15% of heights is 76.2 inches.