Answer:
Step-by-step explanation:
Let's substitute the first equation into the second one.
- Multiply by and bring all the terms to one side.
I'll use my graphical calculator to solve this but you could factor:
(All rounded to 2 decimal places)
Now we can substitute these values into an equation for .
Answer:
I hope this helps :D
Step-by-step explanation:
4
It can be done a lot easier: instead of calculating the probability of one head, two heads, three heads, ... one just needs to calculate the probability of no heads: that is simply 0.5
0.5
n
. If you subtract it from 1, you get the probability you want: it's because that's the chance of not no heads, meaning at least one head. So, the formula is: 1−0.5
1
−
0.5
n
More formally: if X is throwing at least one head,
()=1−(¬)
P
(
X
)
=
1
−
P
(
¬
X
)
, where ¬
¬
X
is throwing zero heads.
The sides of a 30-60-90 triangle have the ratios 1:√3:2. The ratio of the longest side to the hypotenuse is
(√3)/2
Answer:
Step-by-step explanation:
Hello!
The variables of interest are
X₁: height of a professional football player
n₁= 45
X[bar]₁= 6.18 feet
S₁= 0.37 feet
X₂: height of a professional basketball player
n₂= 40
X[bat]₂= 6.45 feet
S₂= 0.31 feet
You need to construct a 95%CI to estimate the difference between the mean heights of professional football players and basketball players.
To study the difference between the population means of two variables, you need these to have at least an approximately normal distribution. There is no information about the distributions of the variables so I'll assume that both study variables have a normal distribution and both population variances are equal.
The statistic you have to use to construct the interval is a t-test for independent samples with pooled sample variance:
(X[bar]₁-X[bar]₂)±*(Sa*)
(6.18-6.45)±1.989*(0.34*)
[-0.42;-0.12]
With a 95% confidence level, you'd expect that the interval [-0.42;-0.12]feet with contain the difference between the average height of professional football and basketball players.
I hope you have a SUPER day!
Answer:
m1 = 44 m2 = 46
Step-by-step explanation:
On the opposite side of the 1, there is a 44
The 1 and 44 seem like the same angle so m1 is 44
Rectangles have four right angles which measure as 90°
90-44 = 46
<u>Please </u><u>give </u><u>brainliest </u><u>if </u><u>I </u><u>helped!</u><u> </u><u>:</u><u>)</u>