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2 years ago

What is 5kg in the ratio of 7:3

Mathematics

1 answer:

cluponka [151]2 years ago

8 0

Answer:

5000/750 = 20:3

Step-by-step explanation:

5kg = 5000g

5000:750 (divide by 10)

500:75 (divide by 5)

100:15 (divide by 5)

20:3

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2 years ago

The least positive value x for which tangent x equals 0tanx=0 is

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The only value for x to make tanx = 0 is either 0 or 180 or 0 or pi.

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2 years ago

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Find cot theta. (-6,-3sqrt(5)

cupoosta [38]

0 Pretend that is theta XD

cot 0 = $\frac{1}{tan0}$

Find tan 0.

tan 0 = $\frac{y}{x}$

tan 0 = $\frac{-3\sqrt{5}}{-6}$

tan 0 = $\frac{\sqrt{5}}{2}$

cot 0 = $\frac{1}{tan0}$

cot 0 = $\frac{1}{\frac{\sqrt{5} }{2} }$

Multiply 2/√5 to the numerator and the denominator (or multiply the reciprocal of the denominator to the top and bottom of the fraction)

cot 0 = $\frac{1}{\frac{\sqrt{5}}{2} } (\frac{\frac{2}{\sqrt{5}} }{\frac{2}{\sqrt{5}}} )$

cot 0 = $\frac{2}{\sqrt{5}}$

Multiply √5 to the numerator and the denominator

cot 0 = $\frac{2}{\sqrt{5}} (\frac{\sqrt{5} }{\sqrt{5} })$

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3 years ago

Solve the right triangle. round your answers to the nearest tenth. help.

hammer [34]

Answer:

19.2

Step-by-step explanation:

Cosine rule :

$\sqrt{a^{2} +b^{2} ﹣2abcos(angle ) }$

c will always be the hypotenuse.

a and b can be any if the opposite or the adjacent.

${15}^{2} + 12^{2} - 2 \times 15 \times 12 \times \cos(90) = 369$

\sqrt{369}=19.20937...

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2 years ago

In Pennsylvania the average IQ score is 101.5 The variable is normally distributed and the population standard deviation is know

elena-14-01-66 [18.8K]

Answer:

P-value = 0.0368

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, $\bar{x}$ = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu> 101.5$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.

P-value can be calculated with the standard normal table.

P-value = 0.0368

P-value is lower than the significance level.

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3 years ago