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3 years ago

Find the value of x that makes the equation true:x + 3 = 4

Mathematics

1 answer:

Zolol [24]3 years ago

6 0

Answer:

x = 1

Step-by-step explanation:

Subtract 3 from both sides

x+ 3 - 3 = 4 - 3

gives x=1

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A triangle with an area of 2/3 cm² is dilated by a factor of 6.

vazorg [7]

By the word "dilation" we mean to say that the dimension of the new triangle is 6 times longer than the dimensions of the former triangle. The ratio between the area of the new triangle and the old one is equal to the square of the ratio of their sides. If we let x be the area of the larger triangle then,
(x / 2/3 cm²) = (6/1)²
The value of x from the equation is 24. Thus, the area of the larger triangle is equal to 24 cm².

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3 years ago

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How can you express (15 30) as a multiple of a sum of whole numbers with no common factor?

Alex_Xolod [135]

Well theoretically speaking you could but that would take a long time and 15 and 30 have a common factor of 5 and 15. So I think for this one you can't since there are two common factors.
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3 years ago

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Imagine we are throwing a five-sided die 50 times. On average, out of these 50 throws, how many times would this five-sided die

olganol [36]

16.6 times because if there is 3 numbers you simply divide it into 50

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3 years ago

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The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam

irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)$

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

$\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)$

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

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4 years ago

Which is equivalent to sqrt 180x^11 after it has been simplified completely?

lorasvet [3.4K]

Answer:

180x^5.5

Step-by-step explanation:

6 0

3 years ago