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2 years ago

Write in standard form a)0.00000678 b)3170000

Mathematics

1 answer:

otez555 [7]2 years ago

8 0

Standard Form:

a) 0.00000678

b) 3170000

Scientific Notation:

a) 6 × $10^{4}$

b) 6.78 × $10^{-6}$

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Jaylynn was buying new mascara. She bought it on sale for $5.56. If the price represents a 20% discount from the original price,

Len [333]

X-0.20x=5.56
Solve for x
So the original price is
X=6.95

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2 years ago

What is 7.2 times 10 to the 7th power times 14.6 x 10 to the 5th power?

Alexxx [7]

7 x $10^{7}$ times 14.6 x $10^{5}$

<em>Multiply 7 and 14.6 and add exponents</em>

Final Answer 102.2 and $10^{5}$

hope that helps :)

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2 years ago

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A coin is tossed 5 times. Find the probability that all are heads. Find the probability that at most 2 are heads.

fenix001 [56]

Answer:

1/32

15/32

Step-by-step explanation:

For a fair sided coin,

Probability of heads, P(H) = 1/2

Probability of tails P(T) = 1/2

For a coin tossed 5 times,

P( All heads)

= P(HHHHH),

= P (H) x P(H) x P(H) x P(H) x P(H)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/32 (Ans)

For part B, it is easier to just list the possible outcomes for

"at most 2 heads" aka "could be 1 head" or "could be 2 heads"

"One Head" Outcomes:

P(HTTTT), P(THTTT) P(TTHTT), P(TTTHT), P(TTTTH)

"2 Heads" Outcomes:

P(HHTTT), P(HTHTT), P(HTTHT), P(HTTTH), P(THHTT), P(THTHT), P(THTTH), P(TTHHT), P(TTHTH), P(TTTHH)

If we count all the possible outcomes, we get 15 possible outcomes representing "at most 2 heads)

we know that each outcome has a probability of 1/32

hence 15 outcomes for "at most 2 heads" have a probability of

(1/32) x 15 = 15/32

8 0

2 years ago

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Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).

Mazyrski [523]

Answer:

The answer is

<h2> $6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are D(2, 0) and E(8, 6

The distance between them is

$|DE| = \sqrt{ ({2 - 8})^{2} + ({0 - 6})^{2} } \\ = \sqrt{( { - 6})^{2} + ( { - 6})^{2} } \\ = \sqrt{36 + 36} \\ = \sqrt{72} \: \: \: \: \: \: \: \: \: \: \\ = 6 \sqrt{2} \: \: \: \: \: \: \: \: \: \: \\ = 8.4852813$

We have the final answer as

$6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units$

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2 years ago

A room has an area of 60 sq meters and a perimeter of 32 meters. What is the length and width

Brut [27]

Add them both together

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2 years ago