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gladu [14]
3 years ago
15

Order these numbers from least to greatest. −245 , −15.6 , 15410 , −153551

Mathematics
1 answer:
Sedaia [141]3 years ago
4 0
-153,551, -245, -15.6, 15,410
Least to Greatest --->
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A waitress sold 11 ribeye steak dinners and 12 grilled salmon​ dinners, totaling ​$560.63 on a particular day. Another day she s
Eduardwww [97]

The cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

<em><u>Solution:</u></em>

Let "a" be the cost of each ribeye steak dinners

Let "b" be the cost of each grilled salmon dinners

<em><u>A waitress sold 11 ribeye steak dinners and 12 grilled salmon​ dinners, totaling ​$560.63 on a particular day</u></em>

Thus we frame a equation as:

11 x cost of each ribeye steak dinners + 12 x cost of each grilled salmon dinners = 560.63

11 \times a + 12 \times b = 560.63

11a + 12b = 560.63 -------- eqn 1

<em><u>Another day she sold 16 ribeye steak dinners and 6 grilled salmon​ dinners, totaling ​$584.46</u></em>

Thus we frame a equation as:

16 x cost of each ribeye steak dinners + 6 x cost of each grilled salmon dinners = 584.46

16 \times a + 6 \times b = 584.46

16a + 6b = 584.46 ------------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 2 by 2</u></em>

32a + 12b = 1168.92 ------- eqn 3

<em><u>Subtract eqn 1 from eqn 3</u></em>

32a + 12b = 1168.92

11a + 12b = 560.63

( - ) ----------------

21a = 1168.92 - 560.63

21a = 608.29

Divide both sides by 21

a = 28.96 \approx 29

<em><u>Substitute a = 29 in eqn 1</u></em>

11(29) + 12b = 560.63

319 + 12b = 560.63

12b = 560.63 - 319

12b = 214.63

Divide both sides by 12

b = 20.13 \approx 20

Thus cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

5 0
3 years ago
A fire truck parks 30 feet
Marianna [84]

Answer:

34 ft. tall

Step-by-step explanation:

Your first step should to draw a diagram. When you do that, your diagram should look like a right triangle, the leg, or the distance from the firetruck to the building, (we'll call this a) should be 30ft. and the hypotenuse, or the ladder (we'll call this c), should be 45ft.

Now we have a visual so it'll be easier.

We know that this problem is a right triangle and we know that to solve for a missing side of a right triangle you use pythagorean theorem: a^2+b^2=c^2

We know one leg 'a' and the hyp. 'c'  and we just need to find 'b' the other leg (aka the building):

Plug in numbers and simplify:

30^2+b^2=45^2

900+b^2=2025

b^2=1125

≈33.54 OR 34 ft. tall

3 0
3 years ago
Read 2 more answers
Mariah Jacobsen is the marketing manager at ABC Electronics, a major consumer electronics supplier in the northwest. Over the la
o-na [289]

Answer:

0.6568 = 65.68% probability that she would be correct.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so.

This means that:

\mu = \frac{45000 + 45500 + 44500 + 46000 + 44000}{5} = 45000

Standard deviation of 1500 units.

This means that \sigma = 1500

What is the likelihood that she would be correct if she predicts sales between 43000 and 46000?

This is the pvalue of Z when X = 46000 subtracted by the pvalue of Z when X = 43000. So

X = 46000

Z = \frac{X - \mu}{\sigma}

Z = \frac{46000 - 45000}{1500}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486

X = 43000

Z = \frac{X - \mu}{\sigma}

Z = \frac{43000 - 45000}{1500}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918

0.7486 - 0.0918 = 0.6568

0.6568 = 65.68% probability that she would be correct.

5 0
3 years ago
Show that the roots of the equations
harkovskaia [24]

Answer:

The roots are real and distinct.

Step-by-step explanation:

Given the following equation:

x^{2} + kx - k -2 =0

In this problem, a = 1, b = k and c = -k - 2

The discriminant is b² - 4ac, and for the roots to be real and distinct, it must be at least or greater than 0.

We get,

(k)²- 4(1)(-k - 2) = 1 - 4(-k - 2)

= k² + 4k + 8

Let's check:

At k = -2,

(-2)^{2} + 4(-2) + 8 = 4 - 8 + 8 = 4&#10;&#10;&#10;

At k = 0,

(0)^2 + 4(0) + 8 = 8

At k = -100,

(-100)^2 + 4(-100) + 8 = 10,000 - 400 + 8 = 9608

Therefore, we can conclude that for all values of k, the roots are real and distinct.

This has been a long way in answering this question, so it would be great if you could mark me as brainliest

3 0
2 years ago
The probability of rolling a rice and getting the number 3 is 1/3 true. Are false
PSYCHO15rus [73]

Answer:

true

Step-by-step explanation:

3 0
2 years ago
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