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3 years ago

Please help with math assignment

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

Answer:

a = 4√2, h = 2√3

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4. Hydrocarbons in the cab of an automobile were measured during trips on the New Jersey Turnpike and trips through the Lincoln

pochemuha

Answer:

No these these result do not differ at 95% confidence level

Step-by-step explanation:

From the question we are told that

The first concentrations is $c _1= 30.0 \ g/m^3$

The second concentrations is $c _2 = 52.9 \ g/m^3$

The first sample size is $n_1 = 32$

The second sample size is $n_2 = 32$

The first standard deviation is $\sigma_1 = 30.0$

The first standard deviation is $\sigma_1 = 29.0$

The mean for Turnpike is $\= x _1 = \frac{c_1}{n} = \frac{31.4}{32} = 0.98125$

The mean for Tunnel is $\= x _2 = \frac{c_2}{n} = \frac{52.9}{32} = 1.6531$

The null hypothesis is $H_o : \mu _1 - \mu_2 = 0$

The alternative hypothesis is $H_a : \mu _1 - \mu_2 \ne 0$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }}$

$t = \frac{0.98125 - 1.6531}{ \sqrt{\frac{30^2}{32} +\frac{29^2}{32} }}$

$t = - 0.0899$

Generally the degree of freedom is mathematically represented as

$df = 32+ 32 - 2$

$df = 62$

The significance $\alpha$ is evaluated as

$\alpha = (C - 100 )\%$

=> $\alpha = (95 - 100 )\%$

=> $\alpha =0.05$

The critical value is evaluated as

$t_c = 2 * t_{0.05 , 62}$

From the student t- distribution table

$t_{0.05, 62} = 1.67$

$t_c = 2 * 1.67$

=> $t_c = 3.34$

given that

$t_c > t$ we fail to reject the null hypothesis so this mean that the result do not differ

6 0

3 years ago

Solving systems of equations using substitution. y=2x+8. y=5-x

kherson [118]

Answer:

(x, y) = (-1, 6)

Step-by-step explanation:

y = 2x + 8

y = 5 - x

Substituting the second equation into the first equation, we get:

5 - x = 2x + 8

5 = 3x + 8

-3 = 3x

x = -1.

So, y = 5 - (-1).

Simplifying, we get:

y = 6.

4 0

3 years ago

0.8% of what number is 6

algol [13]

0.8% of 75 is 6
convert 0.8% to decimal (0.08)
convert 0.08 to fraction (2/25)
x times 2/25 equals 6
multiply each side by the reciprocal of 2/25 (25/2)
2/25 times 25/2 equals one
6 times 25/2 equals 75
so x equals 75

6 0

3 years ago

Patrick makes about 74% of his free throws when playing basketball. He shoots 40 free throws at practice. About how many free th

crimeas [40]

Answer:

about 30

Step-by-step explanation:

Convert 74% to a decimal by dividing by 100 or by moving the decimal two places left.

74.% = 0.74

Multiply

0.74 x 40 = 29.6

Round to the nearest whole number

29.6 = 30

4 0

3 years ago

Solve this. 6x+9=27−3x

MissTica

Answer:

x=2

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3 0

3 years ago

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