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kykrilka [37]
3 years ago
9

Use the order of operations to evaluate: −7.6 − 2[9 + (−6.8)] First, simplify the parentheses: [9 + (−6.8)] = 2.2. Now the expre

ssion is: −7.6 − 2(2.2). Since there are no exponents in this problem, the next step is ✔ (- 2)2.2 . Simplify the previous step and you get ✔ -7.6 – 4.4 . The final answer is
Mathematics
2 answers:
Jobisdone [24]3 years ago
8 0

have a nice day, good luck

tensa zangetsu [6.8K]3 years ago
4 0

Answer:

-12.0

Step-by-step explanation:

From the above question, we are given:

−7.6 − 2[9 + (−6.8)]

We apple the PEDMAS rule

P = Parentheses, Hence:

Step 1

The first step is to simplify the parentheses

[9 + (−6.8)] = 2.2.

Step 2

We now have:

−7.6 − 2(2.2).

Step 3

We simplify Parentheses again

(- 2)2.2 = -4.4

Step 4

We simplify

-7.6 - 4.4

= -12.0

The final answer is 12.0

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3. A regular hexagon has six equilateral triangles with a common
hichkok12 [17]

Answer:

if the height of the triangle is 8 in, its side is 9.2379, and this side is also the side of the hexagon, so the perimeter is 6*9.2379 = 55.43 in

Step-by-step explanation:

As the hexagon is regular, each of those triangles will also be regular.

So if the height of one triangle is 8 inches, we can find the side of the triangle with the height formula of a regular triangle:

height = side * sqrt(3)/2

8 = side * 0.866

side = 8/0.866 = 9.2379

The side of the triangle will also be the side of the hexagon. So the perimeter of the hexagon will be:

P = 6 * 9.2379 = 55.43 inches

8 0
3 years ago
Find an equation for the line with the given properties. Express the equation in slope-intercept form.
polet [3.4K]
Answer

Y = 2x-8

Step-by-step

6 0
3 years ago
g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control
Rudiy27

Answer:

0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that p = \frac{1}{33}

A local hospital randomly selects five births.

This means that n = 5

What is the probability that at least one of the births results in a defect?

This is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426

0.1426 = 14.26% probability that at least one of the births results in a defect.

4 0
3 years ago
Which function represents transforming ƒ(x) = 3x with a reflection over the x-axis and a vertical shift of 4 units?
Oxana [17]

Answer:

D. h(x)=-3x+4

Step-by-step explanation:

we are given

f(x)=3x

Firstly, it is reflected over x-axis

we know that for reflection about x-axis , we can replace y as -y

we get

g(x)=-f(x)

g(x)=-3x

now, it is vertical shift up by 4 units

so, we can add 4 to y-value

we get

h(x)=g(x)+4

h(x)=-3x+4

4 0
3 years ago
If f(x) = 3x – 1 and g(x) = x^2 + 4, find the (gºf)(x).
mezya [45]

Answer: 9x²-6x+5

Step-by-step explanation:

To find (gοf)(x), you want to plug f(x) into g(x). It is the same as g(f(x)).

g(f(x))=(3x-1)²+4                  [distribute by FOIL]

g(f(x))=9x²-6x+1+4              [combine like terms]

g(f(x))=9x²-6x+5  

Now, we know that (gοf)(x)=9x²-6x+5.

5 0
4 years ago
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