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3 years ago

Ifm_2 = 68°, what is the measure of angle 7? 1 2. 3 5 7

Mathematics

1 answer:

Oksana_A [137]3 years ago

7 0

Answer:

∠7=22°

Step-by-step explanation:

∠2 and ∠7 are supplementary angles, meaning they add to 90°.

∠2+∠7=90°

substitute ∠2

68°+∠7=90°

∠7=22°

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Help please need answer asap

MaRussiya [10]

Answer:

f(x) = x - 3

Step-by-step explanation:

y = mx + b

first let's find b, the y-intercept

based on the graph, the y-intercept is (0,-3), so b = -3

immediately, we can eliminate f(x) = 3 - x and f(x) = -3x

comment any questions pls

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3 years ago

Read 2 more answers

A pitcher holds 3/4 gallons of kool-aid. Martin wants to pour equal amounts of kool- aid into 6 smaller cotainers. How much kool

statuscvo [17]

Answer:

$\dfrac{1}{8}\ gallons$

Step-by-step explanation:

Amount of kool - aid that the pitcher can hold = $\frac{3}4$ gallons

There are 6 smaller containers in which this kool - aid is to be adjusted.

Also, the volume of the smaller containers is equal to each other i.e. the containers are identical to each other in terms of volume.

To find:

The amount of kool - aid that each container can hold?

Solution:

Volume of all the smaller containers combined = Volume of the kool - aid available

Let the volume of one smaller container = $V$

$V + V + V + V + V + V = \dfrac{3}{4}\ gallons$

$\Rightarrow 6V = \dfrac{3}{4}\ gallons\\\Rightarrow V = \dfrac{3}{4\times 6 }\ gallons\\\Rightarrow V=\bold{\dfrac{1}{8}\ gallons}$

$\frac{1}{8}\ gallons$ of kool - aid is the amount that each smaller can hold.

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2 years ago

ANSWER FOR 20POINTS PLEASE

krok68 [10]

Answer:

$| {7}^{2} - 8| = |49 - 8 = |41| = 41$

7 0

2 years ago

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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 $\chi^2_{crit}=7.815$