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shutvik [7]
3 years ago
13

What is the value of y in the equation 4 + y = −3?

Mathematics
1 answer:
omeli [17]3 years ago
4 0

4 + y = -3

subtract 4 from each side

y = -3-4

y = -7

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What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.
stealth61 [152]

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{4}{6}

\text{Probability}=\dfrac{2}{3}

In decimal form, it can be written as:

\text{Probability}\approx 0.67

In percentage form, it can be written as:

\text{Probability}=\dfrac{2}{3}\times 100

\text{Probability}\approx 66.67%

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are \dfrac{2}{3}, 0.67 and 66.67\% respectively.

8 0
3 years ago
Help a fellow out please
Liula [17]

Answer:

24.27 cm

Step-by-step explanation:

sin 65 degrees = 22/x, so:

      1                   x

------------------ = ------

 sin 65 deg       22

so x = 22 / (sin 65 deg) = 22/0.906 = 24.27 cm

8 0
3 years ago
Use the functions f(x) and g(x) to answer the question. F(x)=x²-16; g(x)=x+4
AnnZ [28]

(x^2) - 16 / x+4 = (x-4)(x+4) / (x+4) = x-4, x not equal to -4

D is the answer.

7 0
3 years ago
Which is log x+ 6 log(x+7) written as a single logarithm.
Elina [12.6K]

Answer: option d.

Step-by-step explanation:

 To solve this problem you must keep on mind the properties of logarithms:

log(b)-log(a)=log(\frac{b}{a})\\\\log(b)+log(a)=log(ba)\\\\a*log(b)=log(b)^a

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

5logx+6log(x+7)=logx^5+log(x+7)^6=logx^5(x+7)^6

Then, the answer is the option d.

4 0
3 years ago
Read 2 more answers
How many solutions does the system have?
Murrr4er [49]

Answer:

Infinitely many solutions

Step-by-step explanation:

8 0
3 years ago
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