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3 years ago

Someone please help me

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer:

8. Louis

9. Rose; Raymond

Step-by-step explanation:

8. An exponent represents the number of times the base appears as a factor in the product.

We use a coefficient to signify repeated addition: 3x means x+x+x.

We use an exponent to signify repeated multiplication. x³ means x·x·x.

So, the expression ...

$4^2\cdot 4^5\text{ means }(4\cdot4)\cdot(4\cdot4\cdot4\cdot4\cdot4)$

You can see that the factor 4 appears 7 times in the product, so would be represented in exponential form as ...

$4^2\cdot4^5=\boxed{4^7}$

Louis has correctly observed this fact. In general, we see that multiplying powers of the same base causes those powers to be added.

Part A. Rose is correct for the same reason as in problem 8.

5^5 · 5^2 = 5^(5+2) = 5^7

Part B. Raymond is correct. We know that division cancels similar terms from the numerator, so ...

$\dfrac{7^9}{7^5}=\dfrac{7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7}{7\cdot7\cdot7\cdot7\cdot7}=7\cdot7\cdot7\cdot7=7^{9-5}=7^4$

The rules of exponents we're using here are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

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laila [671]

Answer:

The mean and standard deviation for the z-scores in this distribution are 0 and 1 respectively.

Step-by-step explanation:

Let the random variable X follow a Normal distribution with mean μ and standard deviation σ.

The z-scores are standardized form of the raw scores X. It is computed by subtracting the mean (μ) from the raw score x and dividing the result by the standard deviation (σ).

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The mean is:

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The standard deviation is:

$Var(z)=Var[\frac{x-\mu}{\sigma} ]=\frac{1}{\sigma^{2}}\times [Var(x)-Var(\mu)] =\frac{\sigma^{2}-0}{\sigma^{2}}=1\\SD(z)=\sqrt{Var(z)}=1$

Thus, the mean and standard deviation for the z-scores in this distribution are 0 and 1 respectively.

8 0

3 years ago

Dan made 85% of his free throws. If he took 45 shots how many did he make?

likoan [24]

Answer:

Step-by-step explanation:

85%=.85

So 45 × .85 = 38.25

38 shots he made.

Hope this helps

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3 years ago

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aleksklad [387]

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2 years ago

Consider the parent graph f(x) = x2 . Then, g(x) is a translation according the rule: y = (x + 3)2 + 4. Find the graph g(x).

krok68 [10]

For this case we have the following parent function:
f (x) = x ^ 2
We apply the following function transformation:
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
y = (x + 3) ^ 2
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
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y = (x + 3) ^ 2 + 4
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3 years ago