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Fittoniya [83]
3 years ago
14

What’s the ordered pair of 3x+4y=17 and -4y-3y=-18

Mathematics
1 answer:
elena55 [62]3 years ago
5 0
(-55/3 18 )
 im not sure if this is true but ..


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Perimeter refers to the distance around 2-D figure and calculate perimeter, add the side lengths of the figure
viva [34]

Answer:

True

Step-by-step explanation:

The perimeter is the combined length of all the side lengths of a figure.

3 0
3 years ago
Think of your favorite spot to get food from. You are going there to get your first meal after quarantine and the meal cost $35.
sveta [45]

Answer:

You will be paying $41.30 in total.

Step-by-step explanation:

The cost of the meal is $35 and you want to leave 18% tip on the meal.

We want to find the total amount that will be paid.

First, we have to find 18% of $35 and then, add it to the original bill ($35).

18% of 35 is:

18/100 * 35 = $6.30

The tip is $6.30, therefore, the total amount paid will be:

$35 + $6.30 = $41.30

You will be paying $41.30 in total.

6 0
3 years ago
5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.
Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that \mu = 1511, \sigma = 312

95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:

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

1.645 = \frac{X - 1511}{312}

X - 1511 = 1.645*312

X = 2024

The actual SAT score is 2024.

Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that \mu = 21.1, \sigma = 5.1. So

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

1.645 = \frac{X - 21.1}{5.1}

X - 21.1 = 1.645*5.1

X = 29.49

The equivalent ACT score is 29.49.

5 0
2 years ago
How long is each side of a square that has an area of 25 meters?
Sergio [31]
The square root of 25 is 5, so each side is 5metres x
4 0
3 years ago
Read 2 more answers
The sum of two numbers is 12. The difference of the two numbers is 22. Find the two numbers
valentina_108 [34]

Answer:

-5 and 17

Step-by-step explanation:

The sum of two numbers (let's just say number a and number b) is 12.

a + b = 12

The difference between the same two numbers (still a and b) is 22.

b - a = 22

(Move variable a to the right side to get the following.)

b = 22 + a

(This way, we can substitute b = 22 + a into the first equation, a + b = 12, and solve.)

a + (22 + a) = 12

a + a + 22 = 12

2a = -10

a = -5

a + b = 12

-5 + b = 12

b = 17

7 0
2 years ago
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