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3 years ago

(07.03)

Mathematics

2 answers:

Sloan [31]3 years ago

8 0

The answer would be log base 2 of 6 over log base 2 of 3

julia-pushkina [17]3 years ago

5 0

Answer:

Log base 2 of 6 over log base 2 of 3

Step-by-step explanation:

In order to make a change of base of a logarithm, we apply this principle:

$log_{a}b = \frac{log_{c}b}{log_{c}a}$

Where:

a: current base of the logarithm [in this case a = 3]

b: argument of the logarithm [in this case b = 6]

c: new base of the logarithm [in this case c = 2]

Applying this principle in this exercise, we have:

$log_{3}6 = \frac{log_{2}6}{log_{2}3}$

This quotient of logarithms can be expressed as:

Log base 2 of 3 over log base 2 of 6

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A sample of 20 account balances of a credit company showed an average balance of $1,170 and a standard deviation of $125. You wa

Lady_Fox [76]

Answer:

The P-value for this test is P=0.2415.

Step-by-step explanation:

We have to perform an hypothesis testing on the mean of alla account balances.

The claim is that the mean of all account balances is significantly greater than $1,150.

Then, the null and alternative hypothesis are:

$H_0: \mu=1150\\\\H_a: \mu>1150$

The sample size is n=20, with a sample mean is 110 and standard deviation is 125.

We can calculate the t-statistic as:

$t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{1170-1150}{125/\sqrt{20}}=\dfrac{20}{27.95}=0.7156$

The degrees of freedom fot this test are:

$df=n-1=20-1=19$

For this one-tailed test and 19 degrees of freedom, the P-value is:

$P-value=P(t>0.7156)=0.2415$

8 0

3 years ago

Please help explanation if possible

Andrej [43]

9514 1404 393

Answer:

y -4 = -2(x -(-11))

Step-by-step explanation:

The point slope formula is ...

y -k = m(x -h) . . . . . line with slope m through point (h, k)

So, the boxes in order from left to right are k, m, h.

The problem statement tells you the point is (-11, 4), so h = -11, k = 4. It also tells you the slope is -2, so m = -2.

Putting these numbers in the required order, we have k = 4, m = -2, h = -11 and the equation of the line is ...

$y-\boxed{4}=\boxed{-2}(x-\boxed{-11})$

7 0

3 years ago

Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of t

LuckyWell [14K]

Answer:

D. $1000 - 100w \geq 500; w \leq 5$

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks = $\textrm{Money withdrawn each week}\times w$

Total Money withdrawn in 'w' weeks = $100w$

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount = $1000 - 100w$

Now, final amount must be greater than or equal to $500. So,

$\textrm{Final amount}\geq500\\\\1000-100w\geq500$

Therefore, the inequality that represents the inequality for the number of weeks Amy can withdraw money is:

$1000-100w\geq500$

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

$1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5$

Therefore, the correct option is (D).

7 0

3 years ago

Kena calculates that she spends 15% of a school day in science class. If she spends 75 minutes in science class, how many minute

ankoles [38]

Answer:

Step-by-step explanation:

5 0

2 years ago

Plz answer only if you know it's correct. willl give brainliest to best answer

just olya [345]

Answer:

i believe is is 3/2

Step-by-step explanation:

as y goes up 30 x goes over 20

30/20 simplified is 3/2

3 0

3 years ago

Read 2 more answers