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3 years ago

How to solve trapezoid property

Mathematics

1 answer:

masha68 [24]3 years ago

8 0

<h2>★<u>Answer</u></h2>

The properties of trapezoid apply by definition (parallel bases).
The legs are congruent by definition.
The lower base angles are congruent.
The upper base angles are congruent.
Any lower base angle is supplementary to any upper base angle.

<h3> $\: Hope \: it \: Helps!$ </h3>

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A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must inv

Pani-rosa [81]

Hello again!

when he invested $4000 at 5% he increased his income from 0 to 200

adding 4% of 3500 increased it by 140

totaling to $340

he has $2500 left. and he needs $160 more income

160 is 6.4% of 2500

so he needs to invest the remaining $2500 at 6.4% to get the last $160

of his income

I hope this helps, and have a nice day!

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4 years ago

Please help I will give brainliest! I just need 22 and 23 please! Thank you! (And it’s related to ordered pairs by the way!)

cluponka [151]

Answer:

22. B1, G1 (from left to right)

23. E5

Step-by-step explanation:

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3 years ago

Jackie buys 51 kilograms of rice for the school cafeteria. How many grams of rice did Jackie buy?

tresset_1 [31]

Jackie bought 51000 grams of rice. Because there are 1000 grams in a kilogram so, 51 x 1000 is 51000.

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3 years ago

The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15%

vagabundo [1.1K]

Answer:

1) $\chi^2 =\frac{(112-150)^2}{150}+\frac{(95-75)^2}{75}+\frac{(210-200)^2}{200}+\frac{(83-75)^2}{75}=16.313$

2) $p_v =P(\chi^2_{3}>16.313)=0.000978$

And we got the same decision reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Previous concepts

The Chi-Square test of independence is used "to determine if there is a significant relationship between two nominal (categorical) variables". And is defined with the following statistic:

$\chi^2 =\sum_{i=1}^n \frac{(O-E)^2}{E}$

Where O rpresent the observed values and E the expected values.

State the null and alternative hypothesis

Null hypothesis: The distribution is 30% catfish, 15% bass, 40% bluegill, and 15% pike

Alternative hypothesis: The distribution is NOT 30% catfish, 15% bass, 40% bluegill, and 15% pike

The observed values are given by the table given:

Catfish =112, BAss = 95, Bluegill=210, Pike=83

Calculate the expected values

In order to calculate the expected values we can use the following formula for each cell of the table

$E = \% Grand total$

$E_{Catfish}=500*0.3=150$

$E_{Bass}=500*0.15=75$

$E_{Bluegill}=500*0.4=200$

$E_{Pike}=500*0.15=75$

Part 1: Calculate the statistic

$\chi^2 =\frac{(112-150)^2}{150}+\frac{(95-75)^2}{75}+\frac{(210-200)^2}{200}+\frac{(83-75)^2}{75}=16.313$

$\chi^2 =16.313$

Calculate the critical value

First we need to calculate the degrees of freedom given by:

$df= (categories-1)=(4-1)= 3$

Since the confidence provided is 95% the significance would be $\alpha=1-0.95=0.05$ and we can find the critical value with the following excel code: "=CHISQ.INV(0.95,3)", and our critical value would be $\chi^2_{crit}=7.815$

We can calculate also the p value:

$p_v =P(\chi^2_{3}>16.313)=0.000978$

And we got the same decision reject the null hypothesis at 5% of significance.

5 0

3 years ago

The sum of two consecutive odd integers is 80? What is the smaller number?

Zielflug [23.3K]

Answer:

39 , 41

Step-by-step explanation:

Let the two consecutive odd numbers be (2x - 3) and (2x- 1)

2x - 1 + 2x -3 = 80

4x - 4 = 80

4x = 80 + 4

4x = 84

x = 84/4

x = 21

2x - 3 = 2*21 - 3 = 42-3 = 39

2x-1 = 2*21 - 1 = 42-1 = 41

4 0

4 years ago

How to solve trapezoid property​

How to solve trapezoid property