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mezya [45]
3 years ago
8

Evaluate 5x-\dfrac xy5x−

Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

Answer:

5x - (x/y) = 18 when x=4 and y=2

Step-by-step explanation:

5x - (x/y)

When x=4 and y=2

Substitute the value of x=4 and y=2 into the expression

5x - (x/y)

5(4) - (4/2)

Multiply 5 by 4 and divide 4 by 2

=20 - 2

Subtract 2 from 20

=18

5x - (x/y) = 18 when x=4 and y=2

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Use this information to answers Questions 1 through 7. The U.S. government provides money to each state to maintain the intersta
vladimir2022 [97]

Answer:

1. Null Hypothesis, H_0 : \mu \leq  70 mph

  Alternate Hypothesis<u>,</u> H_A : \mu > 70 mph

2. Value of test statistics is 2.652.

Step-by-step explanation:

We are given that Kansas Highway Patrol recorded the speed of 450 interstate vehicles and found the mean speed of 70.2 mph with standard deviation 1.6 mph.

We have to conduct a hypothesis test at significance level 0.01 to decide whether or not to reduce the money sent to Kansas.

<em><u>Let </u></em>\mu<em><u> = true mean speed of all vehicles on the Kansas interstate highway system.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq  70 mph   {means that the federal government will not reduce the amount of funding it provides as the speed limit is less than or equal to 70 mph}

<u>Alternate Hypothesis,</u> H_A : \mu > 70 mph   {means that the federal government will reduce the amount of funding it provides as the speed limit exceed 70 mph}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean speed limit of 450 interstate vehicles = 70.2 mph

             s = sample standard deviation = 1.6 mph

             n = sample of vehicles = 450

So, <em><u>test statistics</u></em>  =   \frac{70.2-70}{\frac{1.6}{\sqrt{450} } }  ~ t_4_4_9

                               =  2.652

<u><em>Hence, the value of test statistics is 2.652.</em></u>

5 0
3 years ago
F(x) = x^2 +3 ; g(x) = x - 7
fiasKO [112]
The answer would be A
x {}^{2}  + 3 + x - 7 \\  \\ x {}^{2}  + x - 4
6 0
3 years ago
81.46 rounded to the nearest whole number
Marat540 [252]

Answer:

81

Step-by-step explanation:

<u>Step 1:  Round to the nearest whole number</u>

81.46

<em>81</em>

<em />

Answer:  81

8 0
3 years ago
Read 2 more answers
what is the equation of the line that passes through (-9,12) and is perpendicular to the line whose equation is y=1/3x+6
BabaBlast [244]
Y=kx+b
line is perpendicular y=1/3x+6⇒ k=-\frac{1}{ \frac{1}{3} }=-3

 so line y=-3x+a
 this line that passes through (-9,12)⇔x=-9, y=12, so 12=-3(-9)+a
12=27+a
a=12-27
a=-15
y=-3x-15

P.s.picture<span> to test solutions <span>in the application</span></span>


8 0
3 years ago
Read 2 more answers
How do i solve x+y=2?
Aliun [14]
It’s unsolvable with out more context. What’s the rest of the problem.
8 0
3 years ago
Read 2 more answers
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