All categories

3 years ago

Consider the diagram and angle measurements shown below.

Mathematics

2 answers:

mel-nik [20]3 years ago

8 0

Answer:

Step-by-step explanation:

marishachu [46]3 years ago

4 0

Answer: C

Step-by-step explanation: i did it

You might be interested in

Identify the expression for calculating the mean of a binomial distribution.

Gre4nikov [31]

A random variable $X$ following a binomial distribution with success probability $p$ across $n$ trials has PMF

$\mathbb P(X=x)=\begin{cases}\dbinom nxp^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

where $\dbinom nx=\dfrac{n!}{x!(n-x)!}$ .

The mean of the distribution is given by the expected value which is defined by

$\mathbb E(X):=\displaystyle\sum_xx\mathbb P(X=x)$

where the summation is carried out over the support of $X$ . So the mean is

$\displaystyle\sum_{x=0}^nx\binom nxp^x(1-p)^{n-x}$

Because this is a proper distribution, you have

$\displaystyle\sum_x\mathbb P(X=x)=1$

which is a fact that will be used to evaluate the sum above.

$\displaystyle\sum_{x=0}^nx\binom nxp^x(1-p)^{n-x}$
$\displaystyle\sum_{x=1}^nx\binom nxp^x(1-p)^{n-x}$
$\displaystyle\sum_{x=1}^n\frac{xn!}{x!(n-x)!}p^x(1-p)^{n-x}$
$\displaystyle np\sum_{x=1}^n\frac{(n-1)!}{(x-1)!(n-x)!}p^{x-1}(1-p)^{n-x}$
$\displaystyle np\sum_{x=1}^n\frac{(n-1)!}{(x-1)!((n-1)-(x-1))!}p^{x-1}(1-p)^{(n-1)-(x-1)}$

Letting $y=x-1$ , this becomes

$\displaystyle np\sum_{y=0}^{n-1}\frac{(n-1)!}{y!((n-1)-y)!}p^y(1-p)^{(n-1)-y}$

Observe that the remaining sum corresponds to the PMF of a new random variable $Y$ which also follows a binomial distribution with success probability $p$ , but this time across $n-1$ trials. Therefore the sum evaluates to 1, and you're left with $np$ as the expression for the mean for $X$ .

3 0

4 years ago

A social psychologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index on which h

Levart [38]

Answer:

a. 5.26

Step-by-step explanation:

As, the standard deviation of the distribution of the difference between mean is 0.76 so the t score will be simply calculated by dividing the difference of means by standard deviation of the distribution of the difference between mean as hypothesized difference is zero.

t score=Xbar A- Xbar B/Sd of difference of means

t score=55-51/0.76

t score=4/0.76=5.26

3 0

3 years ago

Suppose you randomly select a letter from BURGER AND STARBIRD. Imagine writing these letters on Ping-Pong balls – one letter per

Rudiy27

B U R G E R = 6 letters
S T A R B I R D = 8 letters
14 letters in all

B = 2 ; U = 1 ; R = 4 ; G = 1 ; E = 1 ; S = 1 ; T = 1 ; A = 1 ; I = 1 ; D = 1

Probability of pulling out an R: 4/14
Probability of pulling out a B: 2/14
Probability of pulling out a letter that appears in the first half of the alphabet: 7/14
Probability of pulling a vowel: 4/14

3 0

3 years ago

A car is traveling on a highway at a constant speed, described by the equation d = 70t, where d represents the distance, in mile

almond37 [142]

Answer:

84miles

Step-by-step explanation:

Step one:

given data

we are told that the equation that describes the car's speed is

d = 70t-----------1

From the equation, we can see that the speed with which the car is traveling is 70miles per hour, while we are expected to find the distance d when the time is 1.2 hours.

Required

The distance d at 1.2 hours

Step two:

substituting in the expression we have

d= 70*1.2

d=84miles

7 0

3 years ago

Solve these problems for me please! ASAP show all work! 7.24 ÷ 7=? 11.4 ÷ 19?

GalinKa [24]

7.24/7=1.04
7.00/7= 1 0.24/7= .04 1+0.04=1.04

11.4/19= 0.6
https://www.calculatorsoup.com/calculators/math/longdivisiondecimals.php?dvsor=19&dvdnd=11.4&decimal...

Kinda hard to show work for second one so posted a link.

7 0

3 years ago