All categories

4 years ago

What is the value of y−5x−3for x = 2 and y = -4

1 answer:

6 0

To solve this equation, we need to input the values of the variables and then simplify. Putting in the values of the variables, this equation becomes:
-4-5(2)-3=
=-4-10-3=
=-17

You might be interested in

Hello please answer this thanks

Mandarinka [93]

2 inches in length for ever inch in width. This is because the points are (1,2),(2,4),(3,6) and many more like that. Every x coordinate goes up by one while every y coordinate goes up by two. When you do the y coordinate divided by the x coordinate for all of them, you get two. Two is the constant of proportionality

8 0

3 years ago

What percentage of data is between the lower quartile and the upper quartile?

11Alexandr11 [23.1K]

50% of data. Each part has 25%, the first whisker, the box with Q1 to the median, the box with median to Q3, and the last whisker.

5 0

3 years ago

Trigonometry problem

IgorC [24]

Answer:

The values are x = 0° or x = 60°

Step-by-step explanation:

Given:

$\cos x + \frac{1}{\sqrt{3} }\times \sin x = 1$

Let it be in the form of

$a\cos x + b\sin x = 1$ such that

a = 1

$b=\frac{1}{\sqrt{3} }$

We have

$\sqrt{(a^{2}+b^{2} )}=\sqrt{(1^{2}+(\frac{1}{\sqrt{3} }) ^{2} )}\\=\sqrt{\frac{4}{3}}\\=\frac{2}{\sqrt{3} }$

Now, Dividing both the side by $\frac{2}{\sqrt{3} }$ we get

$\frac{\sqrt{3} }{2}\cos x + \frac{1}{2}\sin x =\frac{\sqrt{3} }{2}\\$

We Know

$\sin 60 =\frac{\sqrt{3} }{2}\\and\\\cos 60 = \frac{1}{2}$

Now by replacing with above values we get

$\sin 60\times \cos x + \cos 60\times \sin x = \frac{\sqrt{3} }{2}\\$

Also we have formula

$\sin A\times \cos B + \cos A\times \sin B = \sin (A+B)$

By applying the above Formula we get

$\sin (60+x)=\frac{\sqrt{3} }{2}\\$

Also ,

$\sin (60)=\frac{\sqrt{3} }{2}\\and\\\sin (120)=\frac{\sqrt{3} }{2}$

Comparing we get

60 + x = 60 or 60 + x = 120

∴ x = 0° ∴ x = 120 - 60 = 60°

Therefore, the values are x = 0° or x = 60° i.e between 0° to 360°

5 0

3 years ago

An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating. An independent testing firm has been contra

d1i1m1o1n [39]

Answer:

The calculated value z = 1.3145 < 2.326 at 0.02 level of significance

The null hypothesis is accepted

Hence An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.

Step-by-step explanation:

Step(i):-

An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.

The mean of the Population 'μ' = 28.0miles/gallon

Given data after testing 270 cars, they found a mean MPG of 27.8. Assume the variance is known to be 6.25.

The sample size 'n' = 270

Mean of the sample 'x⁻' = 27.8

Given Population variance 'σ² = 6.25

The standard deviation of Population 'σ' = √6.25 = 2.5

Step(ii):-

Null hypothesis :H₀: 'μ' = 28.

Alternative hypothesis :H₁: 'μ' ≠28.

The test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{27.8-28 }{\frac{2.5}{\sqrt{270} } } = \frac{-0.2}{0.15214}$

Z = -1.3145

|Z| = |-1.3145|= 1.3145

Step(iii):-

The tabulated value of z-score at 0.02 level of significance = 2.326

The calculated value z = 1.3145 < 2.326 at a t 0.02 level of significance

The null hypothesis is accepted

Hence An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.

8 0

4 years ago

Which of the following expressions is equivalent to the expression 36 + 42?

olga2289 [7]

The answer is 6(6 + 7)

7 0

3 years ago

Read 2 more answers