Answer:
1/2
Step-by-step explanation:
From the question, there are 13 cards of heart and 13 card of club in each suit in each deck.
P(drawing heart) = 13/52
P(drawing club) = 13/52
And we know total standard pack =52
P(drawing a heart or a club)
= number of favourable outcome/ total Number of outcome
P( drawing heart or club) =( 13+13)/52
=26/52
=1/2
Given:
a.) Hannah reads 5/8 page in 2/3 minute.
To be able to determine the unit rate we divide the number of pages Hannah ready by the time she took to read it.
We get,
![\text{ }\frac{5}{8}\text{ }\div\text{ }\frac{2}{3}](https://tex.z-dn.net/?f=%5Ctext%7B%20%7D%5Cfrac%7B5%7D%7B8%7D%5Ctext%7B%20%7D%5Cdiv%5Ctext%7B%20%7D%5Cfrac%7B2%7D%7B3%7D)
In dividing fractions, reciprocate the divisor and multiply it to the dividend.
We get,
![\text{ }\frac{5}{8}\text{ }\div\text{ }\frac{2}{3}\text{ = }\frac{5}{8}\text{ x }\frac{3}{2}](https://tex.z-dn.net/?f=%5Ctext%7B%20%7D%5Cfrac%7B5%7D%7B8%7D%5Ctext%7B%20%7D%5Cdiv%5Ctext%7B%20%7D%5Cfrac%7B2%7D%7B3%7D%5Ctext%7B%20%3D%20%20%7D%5Cfrac%7B5%7D%7B8%7D%5Ctext%7B%20x%20%7D%5Cfrac%7B3%7D%7B2%7D)
![=\frac{5}{8}\text{ x }\frac{3}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5%7D%7B8%7D%5Ctext%7B%20x%20%7D%5Cfrac%7B3%7D%7B2%7D)
In multiplying fractions, we just directly multiply the numerator by other numerators and the denominator by the other denominators.
![\frac{5}{8}\text{ x }\frac{3}{2}\text{ = }\frac{5\text{ x 3}}{8\text{ x 2}}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%5Ctext%7B%20x%20%7D%5Cfrac%7B3%7D%7B2%7D%5Ctext%7B%20%3D%20%7D%5Cfrac%7B5%5Ctext%7B%20x%203%7D%7D%7B8%5Ctext%7B%20x%202%7D%7D)
![\text{ = }\frac{15}{16}](https://tex.z-dn.net/?f=%5Ctext%7B%20%3D%20%7D%5Cfrac%7B15%7D%7B16%7D)
Therefore, the unit rate is 15/16 pages per minute.
Answer:
Step-by-step explanation:
Answer:
A (4,1) , B (3,-8) , C (-1,-1)
When reflecting points over the x-axis, you only need to flip the sign of your y value. If you need to reflect over the y-axis, then you flip your x value sign.
Answer: Positive roots = 1
Negative real root =0 or 2
complex roots=0 or 2
Step-by-step explanation:
Given cubic polynomial f(x) = ![4x^3 + x^2 + 10x - 14](https://tex.z-dn.net/?f=4x%5E3%20%2B%20x%5E2%20%2B%2010x%20-%2014)
By Descartes rules of signs
as this polynomial is already arranged in descending order and has only 1 sign change which means it has 1 positive real root.
Now change signs of coefficients of odd powered terms we get
then we have 2 sign changes which gives 2 or zero negative real roots .
For complex roots , we know that it is a cubic polynomial i.e. it has exactly 3 roots and complex roots always occur in pair, Therefore it will have zero or 2 complex roots.
Let the number of extra points on a touchline scored by Logan on the match be x and the number of field goals scored by Logan be y, then the ineaquality representing the situation wher Logan beats the record number of points scored by a kicker in a single match of 24 is given by:
x + 3y > 24
The graph is attached