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2 years ago

10. During the hockey season, Elena

Mathematics

1 answer:

Debora [2.8K]2 years ago

7 0

Answer:

Step-by-step explanation:

If I remember expanded form is putting all number in terms of being times 10 to a power. starting with the ones place it's x10^0 which of course is just 1, so you don't need to include the x10 at all.

now, moving one either way that 0 either get 1 added to it or subtracted. So in the 10s place it becomes x10^1 and the tenths place becomes x10^-1. Similarly the hundreds place and hundreths place will have x10^2 and x10^-2 respectively. So keep this pattern going to find each place of the number. Can you list out what places are displayed in 5.625?

I will get you started, but let me know if you don't quite get it.

5 + 6*10^-1 + ...

Can you figure out the rest?

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How do you start this

lidiya [134]

You have two equations.
since the second is already isolated, sub in x-4 for every y in equation 1 so that
$x^{2} - 4 [(x-4)^{2}] =16
$
expand, collect like terms, factor to find x, then plug x value back into original equation to find y

3 0

3 years ago

Read 2 more answers

Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0

2 years ago

Please Identify the congruent triangles in the figure.

Tpy6a [65]

The missing steps are each right angles and $\angle R \cong \angle O$ .

Solution:

Step 1: Given data:

$\overline {P Q} \cong \overline{M N}$

$\overline{Q R} \cong \overline{N O}$

$\overline{P R} \cong \overline{M O}$

Step 2: In the two polygons,

$\angle Q =90^\circ$ and $\angle N =90^\circ$

$\angle Q \cong \angle N$ (Each right angle)

Step 3: Given

$\angle P \cong \angle M$

Step 4: By third angle theorem,

If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.

$\angle R \cong \angle O$

Step 5: By the definition of congruent polygons,

If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.

Hence $\Delta P Q R \cong \Delta M N O$ .

Therefore the missing steps are each right angles and $\angle R \cong \angle O$ .

5 0

3 years ago

What is the square root of 625

QveST [7]

$De finition:\\\sqrt{a}=b\ \iff b^2=a\\=====================\\\\$

$625|5\\125|5\\.\ 25|5\\.\ \ 5|5\\.\ \ 1|\\\\625=5\times5\times5\times5=5^2\times5^2\\\\\sqrt{625}=\sqrt{5^2\times5^2}=(*)\\-------------------------------\\use:\ \sqrt{a\times b}=\sqrt{a}\times\sqrt{b}\ and\ \sqrt{a^2}=a\ for\ a\geq0\\-------------------------------\\(*)=\sqrt{5^2}\times\sqrt{5^2}=5\times5=\boxed{25}$

$Other\ solution:\\\\\sqrt{625}=25\ because\ 25^2=25\times25=625$

6 0

2 years ago

HELP YOU GET BRAINLIEST!! What is the cost of 8 shirts?!

Makovka662 [10]

Answer: B, 120

Step-by-step explanation:

look at x-value 8 and find y-value

7 0

2 years ago

Read 2 more answers