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3 years ago

14. Quadrilateral ABCD is located at A(2,0), B(3,-4), and C(7,-5). What are the

Mathematics

1 answer:

Vsevolod [243]3 years ago

5 0

Answer:

Step-by-step explanation:

A rhombus is a quadrilateral whose four sides all have the same length. if you look at the picture I sent, A(6,-1) forms a rhombus where all of the sides are an equal length.

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C 3 m 4 m What is the length of the hypotenuse?

ANTONII [103]

Answer:

5 meters

Step-by-step explanation:

The values given, 3 and 4, are the legs a and b. The hypotenuse is the third and longest side, c.

To find the length of the hypotenuse, use the formula a² + b² = c².

Substitute our values for a and b and solve.

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

√25 = √c²

5 = c

The hypotenuse is 5 meters long.

I hope this helps <3

7 0

3 years ago

3. Angle 6 and Angle 7 ore

Vaselesa [24]

Answer:

They are vertical angles

Step-by-step explanation:

They are congruent because they are across from each other over a straight line. They are also called vertical angles.

4 0

3 years ago

31. Lucy gets paid $150 a

Burka [1]

Answer:

y=10x+150

Step-by-step explanation:

3 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

At track practice peirce runs for 1 hour if it takes him 1/6 hour to run a mile how many miles does peirce run at practice

Alex787 [66]

He runs 6 miles... 1/6 hour for 1 mile equals 1 hours for 6 miles

Set proportions

6 0

3 years ago

Read 2 more answers