The high temperature in Fairbanks, Alaska was 15.7 °F one day. That night, the temperature fell 38.4 degrees. What was the low temperature for the night? Enter your answer as a decimal in the box

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

A survey asks 1200 workers → n = 1200

Thirty-five percent of those survey selected → p = 35% = 0.35

To find the mean of a binomial distribution, we can use the following formula:

[tex]Mean = n \times p[/tex]

[tex]Mean = 1200 \times 0.35[/tex]

[tex]\boxed {Mean = 420}[/tex]

To find the variance of a binomial distribution, we can use the following formula:

[tex]Variance = n \times p \times (1 - p)[/tex]

[tex]Variance = 1200 \times 0.35 \times (1 - 0.35)[/tex]

[tex]Variance = 1200 \times 0.35 \times 0.65[/tex]

[tex]\boxed {Variance = 273}[/tex]

To find the standard deviation of a binomial distribution, we can use the following formula:

[tex]Standard ~ Deviation = \sqrt{Variance}[/tex]

[tex]Standard ~ Deviation = \sqrt{273}[/tex]

[tex]\boxed {Standard ~ Deviation \approx 17}[/tex]

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

Answer would be D

, you need to divide the total distance by the spacing to find total markers

Answer:

Your answer is D. 30 divided by 0.2 = n.

Step-by-step explanation:

Divide 30 by 0.2 and you get your correct answer.

Answer:

12 ways

Step-by-step explanation:

We know that,

When the cube is rolled,

Possible ways = 6 ( i.e. 1, 2, 3, 4, 5 or 6 ),

While, when a penny is flipped,

Possible ways = 2  ( i.e. head or tail ),

Thus, when the cube and penny flipped one time,

Total possible ways = 6 × 2 = 12

( i.e, 1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T or 6T )

Expressions equivalent to 'log 2 - log 6' are based on the property of logarithms that states 'log a - log b' is equivalent to 'log (a/b)'. Thus, the equivalent expression is 'log (1/3)'.

The expressions equivalent to log 2 - log 6 can be found using the property of logarithms that deals with the difference of logarithms. According to this property, log a - log b is equivalent to log (a/b). Therefore, one equivalent expression for log 2 - log 6 would be log (2/6), which can be simplified to log (1/3).

Take the limit as x approaches 8 to get the answer of 9.

To find the limit of (x² - 64) / (x² - 8x) as x approaches 8, we can simplify the expression by factoring and cancelling common factors.

First, we factor in the numerator and denominator:

x² - 64 = (x + 8)(x - 8) and x² - 8x = x(x - 8).

Now we can cancel the common factor of x - 8 to simplify the expression: (x + 8)/(x).

Now, we can take the limit as x approaches 8:

Lim(x→8) (x + 8)/(x) = 8 + 8/8

                             = 9.

So the limit of the given expression as x approaches 8 is 9.

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Answer:

50 + 200 - [2(12) + 2(26)] is the correct option

It will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.

To find out how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%, we can use the simple interest formula:

Interest = Principal × Rate × Time

Where:

Substituting the values into the formula:

Interest = $1,900 - $1,000

$1,900 - $1,000 = $900

$900 = $1,000 × 0.125 × Time

To find Time, we can rearrange the formula:

Time = $900 / ($1,000 × 0.125)

Time = 0.72 years

Therefore, it will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.

The distributive property is used to multiply 7 by each term inside the parentheses (4n, -5m, -2) resulting in the expression 28n - 35m - 14.

To apply the distributive property to the expression 7(4n-5m-2), you multiply each term inside the parentheses by 7. The distributive property allows us to multiply a single term outside a parenthesis with each term inside the parenthesis, effectively distributing the multiplication.

Therefore, the product written as a sum, using the distributive property, is 28n - 35m - 14.

Saylor Henshaw invested $1600.

To find out how much money Saylor Henshaw invested, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, Saylor earned $120 in 9 months at an annual interest rate of 5%.

Let's assume the principal amount is P.

Using the formula:

120 = P × 0.05 × (9/12)

Simplifying the equation, we have:

P = 120 ÷ 0.05 × 12/9

P = $1600

So, Saylor Henshaw invested $1600.

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The decimal number 0.00001 can be written as a power of 10 as 1 x 10^-5. This is because the decimal is shifted five places to the right.

The student is asked to express the number 0.00001 as a power of 10. This can be achieved by understanding that the power (exponent) of 10 is equal to how many places the decimal is shifted. Here, the decimal is shifted five places to the right so we use the negative exponent -5 to denote this shift. Therefore, 0.00001 written as a power of 10 is 1 x 10^-5.

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we know that

1) Lily swims a [tex]100[/tex]-meter race

2) She swims the first half in [tex]27.8[/tex] seconds

3) She swims the second half in [tex]30.12[/tex] seconds

so

To find the total time to swim the whole race sum the time in the first half plus the time in second half

[tex](27.8+30.12)=57.92\ seconds[/tex]

therefore

the answer is

[tex]57.92\ seconds[/tex]

By adding the two given times, we will see that she completes the race in 57.92 seconds.

We know that:

Then the time that it took to complete the whole race is just the sum of these two times, we will get:

Total time = 27.8 seconds + 30.12 seconds = 57.92 seconds.

We can conclude that Lily swims the whole race in 57.92 seconds.

If you want to learn more additions, you can read:

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divide 2 3/8 inches by 2

 2 /2 = 1

3/8 /2 = 3/16

change was - 1 3/16