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3 years ago

100 to anyone who can answer all of these !!!

Mathematics

1 answer:

siniylev [52]3 years ago

8 0

Answer:

24yrds is (a) 24.12yrds is (b) 64yrds is (c) And that's all i can do, don't get mad at me please.

Step-by-step explanation:

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A hypothesis test was used to see if less than 5% of all Americans would still drive to work if gas prices went above $10.00 a g

Kruka [31]

Answer:

The correct option is;

False

Step-by-step explanation:

Here, we note that the proportion of the test statistic which is used in the test is 5% and the P-value for the test is 0.03

The hypothesis test is meant to check if people will still drive to work when the gas prices are above $10.00 and the suggestion was that we can conclude that when the fuel price is above $5.00 everyone would still drive to work without a P-value for the test, hence we can not come to the stated conclusion.

8 0

3 years ago

Find the lim a to b idk hiw to do it

Elina [12.6K]

$\bf \lim\limits_{a\to b} \cfrac{a^2-3ab+2b^2}{a-b}\implies \lim\limits_{a\to b} \cfrac{(a-1b)(a-2b)}{a-b}
\\\\\\
\lim\limits_{a\to b} \cfrac{\underline{(a-b)}(a-2b)}{\underline{a-b}}
\implies 
\lim\limits_{a\to b} a-2b\implies \lim\limits_{a\to b} b-2b\implies \lim\limits_{a\to b}-b$

5 0

3 years ago

Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevr

fgiga [73]

Answer:

Pvalue = 0.020335

X² = 14.99

CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES

Step-by-step explanation:

H0 : there is no difference in market shares

H1: there is difference in market shares

Chisquare (X²) = (observed - Expected)²/ expected

Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05

Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235

Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75

Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4

Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1

Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531

Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924

X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99

The obtain the Pvalue ;

We use the Pvalue from Chisquare calculator :

Pvalue(14.99, 0.05, df= 6) = 0.020335

Decision region :

Reject H0 ; if Pvalue < α

THERE IS DIFFERENCE IN MARKET SHARES

Market share differences:

* 98/400 = 0.245,

0.245-0.20 = 0.045

* 72/400 = 0.18,

0.18 - 0.17 = 0.01

* 54/400 = 0.135,

0.135 - 0.12 = 0.015

* 44/400 = 0.11,

0.11 - 0.10 = 0.01

* 42/400 = 0.105

0.105 - 0.10 = 0.005

* 25/400 = 0.0625

0.0625-0.08 = -0.0175

* 65/400 = 0.1625

0.1625 - 0.23 = -0.0675

5 0

3 years ago

Given sinθ=- 3/5 and cscθ=-5/3 in quadrant III, find the value of other trigonometric functions using a Pythagorean Identity. Sh

Yakvenalex [24]

Let ABC be a triangle in the 3rd quadrant, right-angled at B.
So, AB-> Perpendicular BC -> Base AC -> Hypotenuse.
Given: sinÎ¸=-3/5 cosecÎ¸=-5/3
According to Pythagorean theorem, square of the hypotenuse is equal to the sum of square of the other two sides.
Therefore in triangle ABC, ă€–ACă€—^2=ă€–ABă€—^2+ă€–BCă€—^2 ------
--(1)
Since sinÎ¸=Perpendicular/Hypotenuse ,
AC=5 and AB=3
Substituting these values in equation (1)

ă€–BCă€—^2=ă€–ACă€—^2-ă€–ABă€—^2

ă€–BCă€—^2=5^2-3^2

ă€–BCă€—^2=25-9

ă€–BCă€—^2=16

BC=4 units

Since the triangle is in the 3rd quadrant, all trigonometric ratios, except tan
and cot are negative.
So,cosÎ¸=Base/Hypotenuse CosÎ¸=-4/5
secÎ¸=Hypotnuse/Base secÎ¸=-5/4
tanÎ¸=Perpendicular/Base tanÎ¸=3/4
cotÎ¸=Base/Perpendicular cotÎ¸=4/3

4 0

3 years ago

Find all points having an x-coordinate of 2 whose distance from the point (-1,-2) is 5

mariarad [96]

$The\ equation\ of\ the\ circle:(x-a)^2+(y-b)^2=r^2\\\\where\ (a;\ b)\ -the\ coordinates\ of\ the\ center;\ r-the\ radius\\-----------------------------\\(-1;-2)-the\ center\ of\ the\ circle\\r=5\\\\The\ equation:(x+1)^2+(y+2)^2=5^5\\\\Put\ x=2\ to\ the\ equation:\\\\(2+1)^2+(y+2)^2=25\\3^2+(y+2)^2=25\\9+(y+2)^2=25\\(y+2)^2=25-9\\(y+2)^2=16\iff y+1=\pm\sqrt{16}\\\\y+1=-4\ or\ y+1=4\ \ \ \ \ |subtract\ 1\ from\ both \sides\\y=-5\ or\ y=3\\\\Answer:(2;-5)\ and\ (2;\ 3).$

5 0

3 years ago