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3 years ago

Choose the Algebraic equation that matches the table

Mathematics

1 answer:

juin [17]3 years ago

8 0

Answer:

Step-by-step explanation:

In order to write the equation, you need to identify the slope and y-intercept.

1) the y intercept is what y is when x=0. According to the table, it is -2.

2) the slope is the change in the y values over the change in the x values. Notice that the y values are increasing by one for every increase in 1 in the x values, so the slope is 1/1 or 1.

3) we can then put those values into slope-intercept form which is y=mx+b where m is the slope and b is the intercept.

4) so the equation is y=(1)x-2 or y=x-2 (they are the same)

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A bike rider travelled a distance of 51 miles. His average speed was 17 mph. How long did it take him? *

ss7ja [257]

The time it takes to travel 17miles at 50miles per hour is 1224 seconds, take 34hours and multiply it by 60 to get 20.4 minutes

8 0

3 years ago

Phonesmart is having a sale on Bananas. If you buy one Banana at full price, you get a second at half price. When couples come i

Mice21 [21]

Answer:

The probability that a couple buys a pair of Bananas is 1/3 or 33.3%

Step-by-step explanation:

Let's recall that the formula of probability is:

Probability = Number of favorable outcomes/Total number of possible outcomes

What is the probability that a couple buys a pair of Bananas?

For answering this question, we first need to calculate the probability of buying a first Banana, given that when couples come in to buy a pair of phones, sales of Apricots and Bananas are equally likely:

Probability of buying a first Banana = 1/2

Probability of buying a first Apricot = 1/2

Now, we can calculate the probability of buying a second Banana, given that the second phone is twice as likely to be a Banana rather than an Apricot.

Probability of buying a second phone = 1

Probability of buying a second Apricot = x

Probability of buying a second Banana = 2x

Solving for x, we have:

x + 2x = 1

3x = 1

x = 1/3 ⇒ 2x = 2/3

Thus, probability of buying a second Banana = 2/3

Finally,

Probability that a couple buys a pair of Bananas = Probability of buying a first Banana * Probability of buying a second Banana

Replacing with the values we know:

Probability that a couple buys a pair of Bananas = 1/2 * 2/3 = 2/6 = 1/3

1/3 = 33.3%

Probability that a couple buys a pair of Bananas = 1/3 or 33.3%

6 0

3 years ago

Problem 7-35 A satellite range prediction error has the standard normal distribution with mean 0 NM and standard deviation 1 NM.

hammer [34]

Answer:

Kindly check explanation

Step-by-step explanation:

For a normal distribution with :

Mean(m) = 0

Standard deviation (s) = 1

Calculate :

(a) less than 1.17 NM Probability

Zscore = (x - m) / s = (1.17 - 0) / 1 = 1.17

P(z < 1.17) = 0.879

(b) between 1.04 NM and 1.99 NM Probability

Zscore = (x - m) / s = (1.04 - 0) / 1 = 1.04

P(z < 1.04) = 0.8508

Zscore = (x - m) / s = (1.99 - 0) / 1 = 1.99

P(z < 1.99) = 0.9767

(0.9767 - 0.8508) = 0.1259

P(Z > 0.93) = 1 - p(Z < 0.93) = 1 - 0.8238 = 0.1762

(d) between 0.24 NM and 0.73 NM Probability

P(Z < 0.24) = 0.5948

P(Z <0.73) = 0.7673

0.7673 - 0.5948 = 0.1725

(e) less than or equal to 2.3 NM Probability

P(Z ≤ 2.3) = 0.9893

(f) greater than 2.22 NM or less than .65 NM

P(Z > 2.22) = 1 - p(Z < 2.22) = 1 - 0.9868 = 0.0132

P(Z < 0.65) = 0.7422

0.7422 - 0.0132 = 0.729

(g) greater than or equal to 2.0 NM Probability

P(Z ≥2) = 1 - p(Z ≤ 2)

1 - 0.97725 = 0.02275

3 0

3 years ago

15(x + 3)2 Box the exponent (s) please help

sertanlavr [38]

Answer:

"2" is the exponent

Step-by-step explanation:

There is no exponent in your expression.

When the expression is typeset, the superscript text is considered to be an exponent:

$15(x+3){\boxed{^2}}$

When the expression is written in plain text, the exponent is indicated by a caret (^):

$\textsf{15(x+3)\^\ \!\!\boxed{\textsf{2}}}$

3 0

3 years ago

Read 2 more answers

19. The population of a small town was 10,800 in 2002. Since then, the population has decreased at a

tia_tia [17]

Answer:

$p = 10800(0.975)^{t}$

Step-by-step explanation:

There was a population of 108000 in a small town in 2002. Since then, the population has decreased at a rate of 2.5% each year.

Therefore, the population is decreasing at a compound rate of 2.5% each year.

Now, using the formula of compounding we can write if p is the population after t years, then

$p = 10800( 1 - \frac{2.5}{100} )^{t}$

⇒ $p = 10800(0.975)^{t}$ (Answer)

7 0

3 years ago