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3 years ago

Find the value of each unknown variable in the given figures ?

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

10) a. 130

Step-by-step explanation:

$180 - 50 = 130$

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insens350 [35]

Answer:

The coordinates of A is 4,1

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2 years ago

Intel estimates that about 12 quintillion transistors are shipped around the globe each year. If that represents 10,000 times th

ra1l [238]

Answer:

Number on ants on Earth = 1.2 × 10¹⁵

Step-by-step explanation:

1 quintillion = 10¹⁸ or (1000000000000000000)

∴ 12 quintillion = 12 × 10¹⁸

12 quintillion = 10,000 × Number of ants on Earth

Let the number of ants on Earth = n

12 quintillion = 10,000 × n

dividing both sides by 10,000

12 quintillion ÷ 10,000 = n

$n = \frac{12\ \times\ 10^{18} }{10,000} \\n = \frac{12\ \times\ 10^{18} }{10^{4}}\\n = 12\ \times\ \frac{10^{18}}{10^{4}} \\applying\ the\ second\ law\ of\ indices\ (\frac{x^m}{x^n} = x ^{m-n})\\ n = 12\ \times\ 10^{(18 - 4)\\n = 12\ \times 10^{14}\\in\ standard\ form\\n = 1.2\ \times 10\ \times\ 10^{14}\\\therefore n = 1.2\ \times\ 10^{15}$

Number on ants on Earth = 1.2 × 10¹⁵

6 0

3 years ago

A recipe for cookies asks for 2/3cup of sugar for ever 2teaspoons of vanilla. How much sugar was used per teaspoon.

lozanna [386]

Answer:

one and one third, or B

Step-by-step explanation:

you would do 2/3 divided by 2 to find the unit rate. it comes out to be 1.3333.... convert into a fraction and the answer is B.

i hope this helped you, im happy to help!

please mark brainliest?

3 0

3 years ago

The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

Darya [45]

Answer:

The p-value for the test is 0.0459.

Explanation:

The question involves a chi-squared test whose p-value is to be determined.

H₀: σ² ≤ 0.027 (null hypothesis)

H₁: σ² > 0.027 (alternative hypothesis)

Standard deviation = s = 0.2

Hence, s² = (0.2)² = 0.04

Sample size = n = 30

Degree of freedom = n - 1 = 30 - 1 = 29

Significance level = 0.05

Test statistic: X² = (n - 1)s² / σ²

= (30 - 1) x 0.04 / 0.027

= 42.9629

The p-value can now be determined using the Excel function:

CHISQ.DIST.RT(42.9629,29) = 0.0459

Hence, the p-value for the test is 0.0459.

3 0

3 years ago

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If you don't want to expose<br> yourself to the sun, you should

ipn [44]

Answer:

Uhm well you can use sunscreen or a nice hat

Step-by-step explanation:

8 0

3 years ago