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leva [86]
3 years ago
8

11 12 13 14 15 16 17 18 19 20 time remaining 01:26:14 fiona wrote out the description of each step for her multiplication of the

binomial and trinomial (2x – 3)(5x2 – 2x + 7). In which step did fiona make an error? Step 1 step 2 step 3 step 4
Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

 (2x - 3)(5x² - 2x + 7)

= 2x(5x² - 2x + 7)  -3(5x² - 2x + 7)       <em>multiplied using distributive property</em>

= 10x³ - 4x² + 14x   -15x² + 6x - 21        <em>distributed 2x and -3</em>

= 10x³ - 19x² + 20x - 21                         <em>added like terms</em>

You did not upload the image of the steps so I am not sure where fiona made the error.  Hopefully, you can figure it out from the information I provided.

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1. Keisha needs to make at least 28 costumes for the school play. Since she can make 4 costumes each week, Keisha plans to work
snow_lady [41]

Answer:

1. Let n represents the number of weeks she needs to make at least 28 costumes,

Since, she can make 4 costumes each week,

\implies n \geq \frac{28}{4}

\implies n \geq 7-----(1)

i.e. In number line closed circle on 7 and shaded right from 7.

2. If the maximum time taken by her is 10 weeks,

⇒ n ≤ 10 ----(2),

From equation (1) and (2),

7\leq n\leq 10

I.e. closed circle on both 7 and 10 and shaded right from 7 and shaded left from 10.

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4 years ago
Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) What are
Dmitriy789 [7]

Answer:

a)  \bar X \sim N(40,\frac{5}{\sqrt{64}}=0.625)

b) P(39.6 \leq \bar X \leq 40.4)=0.4778

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=40,\sigma=5)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

(a) What are the mean and standard deviation of the sampling distribution?

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(40,\frac{5}{\sqrt{64}}=0.625)

(b) What is the approximate probability that x will be within 0.4 of the population mean μ? (Round your answer to four decimal places.) P =

So for this case we want this probability:

P(40-0.4 \leq \bar X \leq 40+0.4)= P(39.6 \leq \bar X \leq 40.4)

And for this case we can use the z score given by this formula:

Z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this concept we got this:

P(\frac{39.6 -40}{\frac{5}{\sqrt{64}}} \leq \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}} \leq \frac{40.4 -40}{\frac{5}{\sqrt{64}}})

P(-0.64 \leq Z \leq 0.64) =P(z

8 0
3 years ago
I need help with this test can anyone help? theres like 38 questions
guajiro [1.7K]

Answer:

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7 0
3 years ago
Read 2 more answers
Find the x and find the A.
svetlana [45]

Answer:

x=13, A=169

P=4s, so you substitute P with 52 and you're left with 52=4a. You divide 4 to both sides of the equation and a(or x) equals 13.

A=s^2, so since your side(x) equals 13 you calculate 13^2 or 13×13, and A=169.

6 0
4 years ago
Read 2 more answers
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