Solve the proportion 15t5=2t 36.

What is the perimeter of a square with sides that measure 2x + 3 units?

PtichkaEL [24]

Answer:

8x+12

Step-by-step explanation:

We know that squares have equal sides. To calculate perimeter, just add up all of the 4 sides.

2x+3+2x+3+2x=3+2x+3

Add like terms:

8x+12

You could also multiply by four:

4(2x+3)

Use distributive property:

8x+12

8 0

3 years ago

In 1998, as an advertising campaign, the Nabisco Company announced a "1000 Chips Challenge," claiming that every 18-ounce bag of

Phoenix [80]

Answer:

A 95% confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies is [1187.96, 1288.44].

Step-by-step explanation:

We are given that statistics students at the Air Force Academy (no kidding) purchased some randomly selected bags of cookies and counted the chocolate chips.

Some of their data are given below; 1219, 1214, 1087, 1200, 1419, 1121, 1325, 1345, 1244, 1258, 1356, 1132, 1191, 1270, 1295, 1135.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean number of chocolate chips = $\frac{\sum X}{n}$ = 1238.2

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 94.3

n = sample of car drivers = 16

$\mu$ = population mean number of chips in a bag

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-2.131 < $t_1_5$ < 2.131) = 0.95 {As the critical value of t at 15 degrees of

freedom are -2.131 & 2.131 with P = 2.5%}

P(-2.131 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.131) = 0.95

P( $-2.131 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.131 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.131 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.131 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-2.131 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.131 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $1238.2-2.131 \times {\frac{94.3}{\sqrt{16} } }$ , $1238.2+2.131 \times {\frac{94.3}{\sqrt{16} } }$ ]

= [1187.96, 1288.44]

Therefore, a 95% confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies is [1187.96, 1288.44].

7 0

3 years ago

Let ask be the number of points that you can be scored on one question of a statistics exam below is the probability distributio

Molodets [167]

The probability that x will be at most 2 will be 0.89.

<h3>What is probability?</h3>

It should be noted that probability simply means the likelihood of the occurence of an event that's given.

Based on the information, let the number of points that can be scored on the statistics examination be depicted by x.

Therefore, the probability that x will be at most 2 will be:

= P(x = 0) + P(x = 1) + P(x = 2)

= 0.13 + 0.21 + 0.55

= 0.89

Therefore, the probability that x will be at most 2 will be 0.89.

Complete question:

Let x be the number of points that can be scored on 1 question of a statistics exam. Below is the probability distribution of how students did. x 0 1 2 3 P(x ) 0.13 0.21 0.55 0.11 Find the probability that x is at most 2.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

8 0

2 years ago

the entry fee to the fair is 4.00 . each rides requires a ticket that cost 0.50 heidi spent a total 12.00 how many ticket did he

Fofino [41]

She bought 16 tickets

3 0

3 years ago

A conjunction is a statement formed by combining two statements with the word ____. and together with or

Verizon [17]

Answer:

and

Step-by-step explanation:

A conjunction is formed when two statements join with the connector and.

The symbol used for a conjunction is:

∧

to mean AND.

For example, when you have two statements :

p : It will rain today.

q : I will fetch water.

You can connect the statements to form a compound statement :

It will rain today and i will fetch water. ( p ∧ q ).

3 0

3 years ago