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2 years ago

1. Which statement is false?

Mathematics

1 answer:

kompoz [17]2 years ago

3 0

Answer:

Option C is false.

Step-by-step explanation:

A. We are given; 0.7 < 4/5

Now, 4/5 in decimal form is written as 0.8.

Thus,0.7 is less than 0.8. So statement is true.

B) We are given: 2/3 > 0.34

Now, 2/3 in decimal form is written as 0.67.

Thus,0.67 is greater than 0.34, so statement is true.

C) We are given: 2.26 > 214

214 is obviously greater than 2.26. Thus statement is false.

D) We are given: 35/6 > 37/8

Now, 35/6 in decimal form is written as 5.83.

Likewise, 37/8 is written in decimal form as 4.63

Thus,5.83 is greater than 4.63, so statement is true.

Finally, the only false one is Option C

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Here are five number cards . 2,5,7,8,9 . One of the cards is removed and the mean average of the remaining four number cards is

Elodia [21]

Answer:

Step-by-step explanation:

Given that there are 5 number cards.

They are 2,5,7,8,9

Total of all numbers in the cards = 2+5+7+8+9= 31

One card is removed say with number x.

Now sum new would be =31-x .. i

Average of remaining 4 cards = 6

So sum of remaining 4 cards = 6(4) = 24 ... ii

i and ii represent the sum of remaining 4 cards. Hence they should be equal

31-x =24

Subtract 31 from both sides to get

-x=-7

Or x =7

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3 years ago

Find the measure of the listed angles below.

Natali5045456 [20]

Answer:

30,90

Step-by-step explanation:

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2 years ago

Read 2 more answers

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption for microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

σ = population standard deviation = 15 W

n = sample of microwave ovens = 20

So, the test statistics = $\frac{257.3-250}{\frac{15}{\sqrt{20} } }$

= 2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0

3 years ago

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Andre45 [30]

1,3, and 4 are similar shapes

4 0

3 years ago

Work out the answers to: a) 7 + (-4) b) (-6) + (-3) c) 2 -(-6) d) (-8) - (-13)

frosja888 [35]

Answer:

a) 7 + (-4) = 3

b) (-6) + (-3) = -9

c) 2 -(-6) = 8

d) (-8) - (-13) = 5

Step-by-step explanation:

a) 7 + (-4)

= 7 + (-4)

= 3

b) (-6) + (-3)

= -6 - 3

= -9

c) 2 - (-6)

= 2 + 6

= 8

d) (-8) - (-13)

= -8 + 13

= 5

8 0

3 years ago