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yuradex [85]
3 years ago
7

The number7 less than z is_______

Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0

Answer:

z-7 is correct

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How to solve this |9x-12|<-4
Neporo4naja [7]
<span> |9x-12|  <  -4

There is no solution for this inequality...

Because an absolute value is NEVER less than an a negative number </span>
5 0
3 years ago
An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.
andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are E(1)= ^9C_2 places in which the other 2 red balls can be placed.

A red ball drawn third, there are E(3)= ^7C_2 places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are E(5)= ^5C_2 places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are E(7)= ^3C_2 places in which the other 2 red balls can be placed.

The total number of total event is S= ^{10}C_3

The probability that A selects the first red ball is

P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}

P(A \text{wins})=\frac{36+21+10+3}{120}

P(A \text{wins})=\frac{70}{120}

P(A \text{wins})=0.5833

6 0
3 years ago
Expand each expression In 4y5/x2
nordsb [41]

Answer:

\ln 4 -2 \ln x +5 \ln y

Step-by-step explanation:

\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right)  = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y

3 0
2 years ago
Read 2 more answers
Ali’s wage was increased from 120$ to 132$ per week. find the increase as fraction on its simplest form, as a percentage of the
Anettt [7]
Well the increase is 132/120. Simplify by dividing 12 from the numerator and the denominator, you should get 11/10.
11/10 is also 110%
7 0
2 years ago
2 rational numbers who’s difference is rational
horrorfan [7]

Answer: (5+√2) and (3+√2)

Step-by-step explanation: Let (5+√2) and (3+√2) be  two irrational numbers

                                             Difference = (5+√2) - (3+√2)

                                             Difference = 2

                                             2 is a rational number

6 0
2 years ago
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