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3 years ago

How many significant figures are in the number 123.97

Mathematics

2 answers:

Paraphin [41]3 years ago

6 0

Answer:

<h2>5 significant</h2>

Step-by-step explanation:

Nikolay [14]3 years ago

4 0

Answer:

5 significant figures

Step-by-step explanation:

Any first number than starts with > 0, it is counted as significant figures and with 0 in the middle of number, also will be counted. But if the first number is 0, you have to skip to the next number.

e.g

0.0567 = 3s.f

1.542 = 4s.f

0.0000012 = 2s.f

1200586 = 7s.f

87000000002 = 11s.f

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Which products result in a perfect square trinomial? Select three options.

Kazeer [188]

Answer:

Second option: $(xy+x)(xy+x)$

Third option: $(2x-3)(-3+2x)$

Fifth option: $(4y^2+25)(25+4y^2)$

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

$(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2$

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

$(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2$

$(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9$

$(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625$

8 0

3 years ago

Read 2 more answers

Convert 35 mi/h to km/h

notsponge [240]

<span>Convert 35 mi/h to km/h

</span> $35 \dfrac{mi}{h}\to \dfrac{km}{h}\qquad \qquad 1 mi= 1,60934 \\ \\ \\ 35 \dfrac{mi}{h}* \dfrac{1,60934\ km}{1\ mi}= \boxed{ 56,3269\dfrac{km}{h} }$ <span>
</span>

3 0

3 years ago

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a

laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is $n = 271$

Step-by-step explanation:

From the question we are told that

The margin of error is E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be

$\^ p = 0.5$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )$

=> $n = 271$

5 0

3 years ago

The following set of coordinates represents which figure? (1, 1), (5, 3), (7, 7), (3, 5) (4 points)

slamgirl [31]

Check the slopes
the first 2 points have slope (3-1) / (5-1) = 2/4 = 1/2
points 2 and 3 slope = 4/2 = 2
3 and 4:- slope = -2/-4 = 1/2
4 and 1:- slope = 4/2 = 2

so we have 2 pairs of opposite sides which are parallel

looks like a parallelogram or a rhombus

if adjacent sides are equal its a rhombus

length betwee pts 1 and 2 = sqrt(2^2 + 4^2) = sqrt20
.. ... ... .. .. .. ...2 and 3 = sqrt(4^2 + 2^2) = sqrt20

so it is a rhombus

8 0

3 years ago

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A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from t

guajiro [1.7K]

Okay so probability is just percentage of a whole, right?

So you have 14 White Eggs + 15 Brown Eggs + 11 Lemons.

Add all those numbers together and you get your whole.

14 + 15 = 29 29+11 = 40

40 is your whole.

So because you want to know how likely it is to pick up an egg, you would follow these steps.

100/40 = 2.5 (For each part of the 40, it is worth 2.5 percent.)

2.5 x 29 = 72.5

Your probability of picking an egg out of the bask is 72.5 percent or 72.5 out of 100.

8 0

3 years ago

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How many significant figures are in the number 123.97​

How many significant figures are in the number 123.97