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3 years ago

Harry rolls 2 fair dice. Probability of both dice showing a factor of 12

Mathematics

1 answer:

enyata [817]3 years ago

5 0

Answer:

P = 4/9

Step-by-step explanation:

Event A1: The first dice shows a factor of 12. P(A1) = 4/6 = 2/3

Event A2: The second dice shows a factor of 12. P(A2) = 4/6 = 2/3

P (A1*A2)=4/9

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F the price of a pair of shoes is $35.00 before tax, and tax is 20%, what will the final price of the pair of shoes be?

azamat

Answer:

$42

Step-by-step explanation:

35·0.20=7

tax is $7

35+7=42

the final price is $42

5 0

2 years ago

plz HELP!! For f(x)=3x-1 find f(x) when x=2 also for g(x)=x with an exponet of 2-xfind g(x )when x= -2

mina [271]

F(2) = 3(2)-1
= 5

G(-2)=(-2)^2
= 4

4 0

2 years ago

A simple random sample of size n equals 200 individuals who are currently employed is asked if they work at home at least once p

____ [38]

Answer: 99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

Step-by-step explanation:

step 1:-

Given sample size n=200

of the 200 employed individuals surveyed 41 responded that they did work at home at least once per week

Population proportion of employed individuals who work at home at least once per week P = $\frac{x}{n} =\frac{41}{200} =0.205$

Q=1-P= 1-0.205 = 0.705

step 2:-

Now $\sqrt{\frac{P Q}{n} } =\sqrt{\frac{(0.205)(0.705)}{200} }$

=0.0015

step 3:-

Confidence intervals

using formula

$(P - Z_∝} \sqrt{\frac{P Q}{n},} (P + Z_∝} \sqrt{\frac{P Q}{n},$

$(0.205-2.58(0.0015),0.205+2.58(0.0015)\\0.20113,0.20887$

=0.20113,0.20887[/tex]

conclusion:-

99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

4 0

3 years ago

Rationalise the denominator.

grin007 [14]

Let's see what to do buddy...

_________________________________

To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

$(5 -\sqrt{2})$

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Reminder :

$(a + b)(a - b) = {a}^{2} - {b}^{2} \\$

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

$\frac{1}{ 5-\sqrt{2} } \times \frac{ 5+\sqrt{2} }{ 5 +\sqrt{2} } = \frac{1 \times ( 5 +\sqrt{2}) }{(5- \sqrt{2} )( 5 +\sqrt{2}) } = \\$

The other is in the photo.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0

3 years ago

Plz solve . 3+ x > -9

STALIN [3.7K]

Answer:

Step-by-step explanation:

3 + x>-9 x=12 15>-9

5 0

2 years ago