Answer:
B. 68°
Step-by-step explanation:
Since, opposite sides of the quadrilateral MNPQ are parallel.
Therefore, it is a parallelogram.
Measures of the opposite angles of a parallelogram are equal.
So,
(6x - 2)° = (4x + 36)°
6x - 2 = 4x + 36
6x - 4x = 36 + 2
2x = 38
x = 38/2
x = 19

Answer:
a) slope intercept form: y = -5/14 x + 7/2
b) point slope form: y - 1 = 3/2(x - 4)
Step-by-step explanation:
a) Line A: (4,1) and (0, 7/2)
Slope = (1 - 7/2)/(4 - 0)
Slope = - 5/2 * 1/4
Slope = - 5/14
Equation in slope intercept form:
y = -5/14 x + 7/2
b)
(4,1) and (0, -5)
Slope = (1 + 5)/(4 - 0) = 6/4 = 3/2
Equation in point slope form:
y - 1 = 3/2(x - 4)
When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution then"it is flatter and wider than the normal distribution."
<h3>What is normal distribution?</h3>
The normal distribution explains a symmetrical plot of data around the mean value, with the standard deviation defining the width of the curve. It is represented graphically as "bell curve."
Some key features regarding the normal distribution are-
- The normal distribution is officially known as the Gaussian distribution, but the term "normal" was coined after scientific publications in the nineteenth century demonstrated that many natural events emerged to "deviate normally" from the mean.
- The naturalist Sir Francis Galton popularized the concept of "normal variability" as the "normal curve" in his 1889 work, Natural Inheritance.
- Even though the normal distribution is a crucial statistical concept, the applications in finance are limited because financial phenomena, such as expected stock-market returns, do not fit neatly within a normal distribution.
- In fact, prices generally follow a right-skewed log-normal distribution with fatter tails.
As a result, relying as well heavily on the a bell curve when forecasting these events can yield unreliable results.
To know more about the normal distribution, here
brainly.com/question/23418254
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Answer:
The drama club bought 35 t-shirt
Step-by-step explanation:
Let
t-shirt = x
Sweatshirt = y
Total cost = $795
They purchase 20 more tshirts than sweatshirts
x = y + 20
The equation is:
12x + 25y = 795
12(y + 20) + 25y = 795
12y + 240 + 25y = 795
37y = 795 - 240
37y = 555
y = 15
Substitute y = 15 into
x = y + 20
x = 15 + 20
x = 35
t-shirt = 35
Sweatshirt = 15
The drama club bought 35 t-shirt
Answer:
5.8%
Step-by-step explanation:
Current yield = 6.1%
Face value of bond = $500
Market price of bond = $475
Let the original coupon rate be CR


Multiply both sides by 475

Cancel out the 475's from the top and bottom of the right side


Flip the sides

Divide both sides by 5000

Cancel out 50000 from the top and bottom of the left side
%
CR = 0.0579 * 100 [convert decimal into a percentage]
CR = 5.79 %
CR = 5.8% [rounded off to the tenth place]