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3 years ago

What is the value of x? A. 112 B. 68 C. 62 D. 56

Mathematics

2 answers:

Artist 52 [7]3 years ago

8 0

Step-by-step explanation:

you take 56 + 56 because they are equal it will be 112.

56 + 56 = 112

180 - 112 = 68

Then the answer will be B

ollegr [7]3 years ago

3 0

Answer:

B 68

Step-by-step explanation:

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3 years ago

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One of your employees has suggested that your company develop a new product. You decide to take a random sample of your customer

iren [92.7K]

Answer:

269

Step-by-step explanation:

The margin of Error is E = 0.05

The level of significance is, α = 1 - confidence level = 1 - 0.9 = 0.1

Assume that the proportion is, p =0.5

From the standard normal table, observe that the critical value of Z for two tail test and 10% level of significance is 1.64

The calculation of sample size is as follows: n = (Z/E)²p(1-p)

n = (1.64/0.05)²0.5 (1 - 0.5)

n = (1.64/0.05)² 0.25

n = 1075.84 × 0.25

n = 268.96 ≈ 269

The required sample size with the given margin of error approximately is 269. This value indicates the size of the customers who are using this company’s products.

6 0

3 years ago

Four brothers have ages which are consecutive even integers. If the product of the ages of the two middle brothers is 528, how o

exis [7]

Answer:

The oldest brother is of age $26$ years.

Step-by-step explanation:

As the age of four brothers are consecutive even integers.

We assume that the ages are $x,(x+2),(x+4),(x+6)$ as their respective ages.

And the age of the youngest brother $x$ yrs.

Age of the oldest brother $(x+6)$ yrs.

According to the question

Product of two middle brother that is $(x+2)(x+4) =528$

So we will arrange this in our equation and solve the quadratic.

$(x+2)(x+4) =528$

$x^{2}+4(x)+2(x)+8 =528$

$x^{2}+4(x)+2(x)+8-528=0$

$x^{2}+6(x)-520=0$

Solving the quadratic by using middle term splitting or directly with quadratic formula we can find the value of 'x' .

Here it is solved with quadratic formula:

Comparing with standard equation $ax^{2}+b(x)+c=0$ ,here $a=1,b=6\ and\ c=-520$ .

$x= \frac{-b \pm \sqrt{b^2-4ac} }{2a} = \frac{-6 \pm \sqrt{6^2-4\times \ (-520)} }{2\times 1}$

$x=20,-26$

We will work with the positive value of (x) so the the age of the youngest brother $=(x)=20$ yrs.

And the age of the the oldest brother $=(x+6)=(20+6)=26$ years.

The age difference is of $(26-20)=6$ years.

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4 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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Evaluate this expression for x=-5 and y=-5

Talja [164]

Answer:

$x - 2y=5$

Step-by-step explanation:

Given

$x = -5; y=-5$

$x - 2y$ --- missing from question

Required

Evaluate

We have:

$x - 2y$

Substitute for x and y

$x - 2y=-5 - 2*-5$

$x - 2y=-5 +10$

$x - 2y=5$

3 0

3 years ago