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2 years ago

How many times larger is 9 X 10 to the 6 exponent than 3 x 10 to the 4th exponent

Mathematics

1 answer:

Aleksandr [31]2 years ago

5 0

300

divide 9 × $10^{6}$ by 3 × $10^{4}$

= $\frac{9}{3}$ × $10^{6}$ / $10^{4}$

= 3 × $10^{6-4}$ = 3 × $10^{2}$ = 300

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which of the following is the most appropriate unit to describe a time you can drive a car based on the amount of gas?

Phoenix [80]

Miles per hour (Mph)

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3 years ago

What is 5/8 times 1/2times

konstantin123 [22]

5/16

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3 years ago

ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?

MariettaO [177]

Answer:

ΔEFG is an isosceles triangle.

Step-by-step explanation:

Given:

E (0, 0),

F (−7, 4),

G (0, 8)

ΔEFG

Solution:

Distance formula

Distance d = $\sqrt{(x_2-x_1)^2 +( y_2-y_1)^2$

Step 1: Finding the length of EF

By using distance formula,

$EF = \sqrt{(-7 - 0)^2 + (4-0)^2}$

$EF = \sqrt{(49) + (16)}$

$EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\$

Step 2: Finding the length of FG

By using distance formula,

$FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}$

Step 2: Finding the length of GE

$GE= \sqrt{(0-0)^2 + (0-8)^2}\\\\GE =\sqrt{(-8)^2}\\GE = \sqrt{64}\\GE = 8$

Thus we could see that the sides EF = FG

So it is a isosceles triangle.

6 0

2 years ago

Edna decided to purchase a $15,000 MSRP vehicle at a 5% interest rate for 3 years. The dealership offered her a $1500 cash-back

Ad libitum [116K]

P = A/D, Where P = Monthly payments, A = Total amount owed = 15,000-1,500 = $13,500,

$D= \frac{( 1+ \frac{r}{12} )^{nt} -1}{ \frac{r}{12} (1+ \frac{r}{12}) ^{nt} }$

r = 5% = 0.05, nt = 12*3 = 36

Therefore,
D = $\frac{(1+ 0.05/12)^{36}-1 }{(0.05/12)(1+0.05/12)^{36} }$ = 33.37

Then,

P = 13,500/44.37 = $404.61
The correct answer is c.

5 0

2 years ago

An unfair coin with Pr[H] = 0.2 is flipped. If the flip results in a head, a marble is selected at random from a urn containin

satela [25.4K]

Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue

when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12

when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3

using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286

6 0

2 years ago