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Blizzard [7]
2 years ago
7

Which system of equations is represented by the matrix below?

Mathematics
1 answer:
egoroff_w [7]2 years ago
6 0

9514 1404 393

Answer:

  B

Step-by-step explanation:

In order for the matrix to represent the equations, the coefficients in the equations need to match the terms in the matrix. That is only the case for choice B.

__

Details are important in math.

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A store marks up 68.99 lamp 40%. What is the new price of the lamp?
grandymaker [24]
68.99 x .4= 28.60
68.99 + 28.60 = 97.69
The new price is 97.69
6 0
3 years ago
50 is ____________ times as large as 5.
coldgirl [10]

Answer: 10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Direct mail advertisers send solicitations​ ("junk mail") to thousands of potential customers in the hope that some will buy the
harina [27]

Answer:

The interval is (.0817, .118).

Step-by-step explanation:

Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.

<u>1. Conditions</u>

First we must check the conditions.

<em>Randomization condition: </em>The sample is given to be random, so we can assume independence.

<em>Success/failure condition: </em>Both np>10 and nq>10 must be met.

  • np = 1030(103/1030) = 103 ✓
  • nq = 1030(927/1030) = 927 ✓

<em>10% condition: </em>The sample cannot be greater than 10% of the population.

  • 10n < N, 10(1030) < 200000 ✓

All conditions are met, so we can use <u>a 1-proportion z-interval</u> to represent the data.

<u></u>

<u>2. Mechanics</u>

<u>Find </u>\hat{p}<u>, the sample proportion.</u>

103/1030 = .1

\hat{q}, then, the probability of not p, is 1 - .1 = .9

<u>Find z* (z star), the critical z-value.</u>

You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?

invNorm(.975) = 1.96

<u>Plug values into the equation.</u>

\hat{p} ± z*\sqrt{\frac{\hat{p}\hat{q}}{n} }

.1 ± 1.96\sqrt{\frac{.1*.9}{1030} }

.1 ± 1.96(.00935)

.1 - .0183 = .0817

.1 + .0183 = .118

(.0817, .118)

<u>3. Conclusion</u>

Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!

5 0
3 years ago
B. Solve for the product of the following fractions. Express your answer in simples form.
sladkih [1.3K]

Answer:

  1. 5/9
  2. 1/5
  3. 1/7
  4. 5/54
  5. 1/4
  6. Hope it helps you
5 0
3 years ago
Make q the subject of the formula <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bp%20%7D%20%20-%20%20%5Cfrac%7Bb%7D%7
alukav5142 [94]

Answer:

q=<u>bp</u>

<u> </u><u> </u><u> </u><u> </u>a- cp

Step-by-step explanation:

<u>a</u> - <u>b</u><u> </u>= c

p q

Multiply through by pq

qa - bp = cpq

qa - cpq = bp

q [a-cq] = bp

q= <u>bp</u>

<u> </u><u> </u><u> </u><u> </u><u> </u>a-cp

5 0
3 years ago
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