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Phantasy [73]
3 years ago
15

How do I get to the answer? (3 x n) + 4 = 32/2 What is the value of n?

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0
If you simplify what's in the bracket, you get 3n

=(3n)+4=32/2
=3n+4= 32/2(here we can either crossmultiply or equate)
3n+4-4=32/2-4(subtract 4 from both sides)
3n=32/2-4
3n=24/2
3n=12
3n=12(divide both sides by the coefficient of the unknown)
3n/3=12/3
n=4
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Which functions domain consists of all real numbers except -2?
Eddi Din [679]

Answer:

option (a) f(x)= 1/x+2

Step-by-step explanation:

(a) f(x) = 1/ x+2

To find the restriction for domain , we set the denominator =0  and solve for x

x+2 =0, so x=-2

When x=-2  then denominator becomes 0 that is undefined.

So, domain is all real numbers except -2

(b) f(x)= 2x

In this function, there is no denominator or square root or log function

so there is no restriction for x, hence domain is all real numbers

(c) f(x) = 2x-2

In this function, there is no denominator or square root or log function

so there is no restriction for x, hence domain is all real numbers

f(x) = 1/ sqrt(x+2)

if we have square root in the denominator then we set the denominator >0 and solve for x. because square root of negative values are undefined

x+2>0, x>-2

Hence domain is all real numbers that are greater than -2

8 0
3 years ago
Use the right triangular prism shown to answer the following questions.
Tju [1.3M]

Answer:

168cm is the right answer

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race durin
Andrej [43]

Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))

z = 0.1/0.0543

z = 1.84

From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

3 0
3 years ago
Simplify: - 4x 5x - 1 + 3-6x 3-6x​
Vitek1552 [10]

Answer:

−45−1+3−63−6

−46−1+3−63−6

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Solution:

−46−63−6+2

Step-by-step explanation:

I hope that this is what you are looking for

Have a nice day/night

3 0
3 years ago
A car park has no parking spaces on the first floor. The second floor has double the amount of spaces on the first floor. The th
Artist 52 [7]

Answer:

85 parking spaces

Step-by-step explanation:

Given that :

Parking spaces on floors :

Let first floor = x

Second floor = 2x

Third floor = 2x + 3

Total parking spaces = 428

THEREFORE ;

x + 2x + 2x + 3 = 428

5x + 3 = 428

5x = 428 - 3

5x = 425

x = 425 / 5

x = 85

Hence, there are 85 parking spaces on the first floor

7 0
3 years ago
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