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tatuchka [14]
3 years ago
12

Find the values of x and y

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

x = 9.2

y = 5.5

Step-by-step explanation:

y/5 = 6/y

y^2 = 30

y = 5.5

x/5 = 17/x

x^2 = 85

x = 9.2

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In a random sample of 380 cars driven at low altitudes, 42 of them exceeded a standard of 10 grams of particulate pollution per
alexdok [17]

Answer:

The test statistic for testing if the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard is 3.234.

Step-by-step explanation:

We are given that in a random sample of 380 cars driven at low altitudes, 42 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed.

In an independent random sample of 90 cars driven at high altitudes, 24 of them exceeded the standard.

Let p_1 = <u><em>population proportion of cars driven at high altitudes who exceeded a standard of 10 grams</em></u>.

p_2 = <u><em>population proportion of cars driven at low altitudes who exceeded a standard of 10 grams</em></u>.

So, Null Hypothesis, H_0 : p_1\leq p_2      {means that the proportion of high-altitude vehicles exceeding the standard is smaller than or equal to the proportion of low-altitude vehicles exceeding the standard}

Alternate Hypothesis, H_A : p_1>p_2      {means that the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard}

The test statistics that will be used here is <u>Two-sample z-test statistics</u> for proportions;

                             T.S.  =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~  N(0,1)

where, \hat p_1 = sample proportion of cars driven at high altitudes who exceeded a standard of 10 grams = \frac{24}{90} = 0.27

\hat p_2 = sample proportion of cars driven at low altitudes who exceeded a standard of 10 grams = \frac{42}{380} = 0.11

n_1 = sample of cars driven at high altitudes = 90

n_2 = sample of cars driven at low altitudes = 380

So, the test statistics =  \frac{(0.27-0.11)-(0)}{\sqrt{\frac{0.27(1-0.27)}{90}+\frac{0.11(1-0.11)}{380} } }      

                                   =  3.234

The value of z-test statistics is 3.234.

7 0
3 years ago
-9, 0, 27/100, 50.5, 1,974. Out of all these numbers what ones are not integers?
tia_tia [17]
All numbers are integers like prime numbers,composite number,even,odd,etc.
8 0
3 years ago
The table represents the function f (x) = 3x-1
Ann [662]

Answer:

a=-16, b=11, c=23

Step-by-step explanation:

The function whose table is drawn is

f(x) = 3x - 1

To find the value of a, we substitute x=-5.

f( - 5) = 3( - 5)  - 1  \\ f( - 5) =  - 15 - 1 \\ f( - 5) =  - 16

\therefore \: a =  - 16

To find the value of b, we substitute x=4.

f(4) =3(4)  - 1  \\ f(4) = 12 - 1 \\ f(4) =  11

To find the value of c, we substitute x=8,

f(8) = 3(8) - 1 \\ f(8) = 24 - 1 \\ f(8) = 23

c = 23

8 0
3 years ago
I am sooooo dumb i swear,
Citrus2011 [14]

Hei dere!

So this is how I learned it:

18         x

----  =  -------

60       100

Cross cancel it:

60x=1800

x=30%

Hope I helped!

~Potato.

Copyright Potato 2019.

5 0
3 years ago
I NEED HELP ASAP PLS
Vsevolod [243]

Answer:

x

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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