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4 years ago

Good night everyone

Mathematics

2 answers:

murzikaleks [220]4 years ago

4 0

Answer:

Step-by-step explanation:

8 hours of sleep is healthy

djyliett [7]4 years ago

3 0

Answer:

clean your room then go to bed. you will feel proud of yourself after you do

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If a translation maps ∠I onto ∠K, which of the following statements is true?

jonny [76]

The statement which is true is ΔGHI ~ ΔGJK.

<h3>What is Translation?</h3>

This is commonly used in geometry to describe a function which moves object at distances.

This therefore means that translation of ∠I onto ∠K means shifting of point I to point K.

The triangles given are HGI and JGK.

Translation in this scenario therefore means that the triangles are similar only if other angles are mapped to their corresponding angles.

It confirms that ΔGHI ~ ΔGJK thereby making it the most appropriate choice.

Read more about Translation here brainly.com/question/16253702

#SPJ1

3 0

2 years ago

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's pe

Nookie1986 [14]

L=3w

So, the perimeter will be,
P= 2L + 2w
P= 2(3w) + 2w
P= 6w + 2w
P= 8w units

6 0

3 years ago

According to the manufacturer of a backup UPS device, the normal output voltage is 120 volts. The sample of 40 measured voltage

anyanavicka [17]

Answer:

z = 1.83<1.96

null hypothesis is accepted

The sample is came from a population mean

Step-by-step explanation:

Step :-1

The sample of 40 measured voltage amounts from a unit have a mean of 123.59 volts and a standard deviation of 0.31 volts

given sample size n =40

mean of the sample ×⁻ = 123.59 volts

standard deviation of sample σ = 0.31 volts

Step2:-

Null hypothesis :-

the sample is from a population with a mean equal to 120 volts.

H₀ : μ =120

Alternative hypothesis:-

H₁ : μ ≠120

level of significance:- α =0.05

Step 3:-

The test statistic

$z = \frac{x_{-}-mean }{\frac{S.D}{\sqrt{n} } }$

substitute values and simplification

$z = \frac{123.59-120}{\frac{0.31}{\sqrt{40} } }$

on simplification we get the calculated value

z = 1.83

The tabulated value z =1.96 at 0.05 % level of significance

Conclusion:-

Calculated Z < The tabulated value z =1.96 at 0.05 % level of significance

so the null hypothesis is accepted

The sample is came from a population mean

4 0

3 years ago

A chef can make 12 omelets in one our. what is the rate of omelets per minute?

Aneli [31]

There are 60 minutes in one hour, so you would divide 12 by 60

they make 0.2 omelettes a minute

4 0

3 years ago

Read 2 more answers

Solve each inequality |8x+5|<-3

m_a_m_a [10]

Step-by-step explanation:

$| 8x - 5 | < - 3$

$8x < - 3 + 5$

$8x < 2$

$\frac{8x}{8} < \frac{2}{8}$

$x = \frac{1}{4}$

6 0

2 years ago

Read 2 more answers