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Marrrta [24]
3 years ago
11

Find the slope of the line graphed

Mathematics
2 answers:
erastova [34]3 years ago
7 0

Answer:

the slop is 1.5

Step-by-step explanation:

Marrrta [24]3 years ago
3 0

Answer:

Slope = -1.5

Step-by-step explanation:

The two points are: (1, 1) and (3, -2)

Slope = (-2 - 1) / (3 - 1)

Slope = -1.5

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A magician showed a magic trick where he picked one card from a standard deck. Determined what the probability is that the card
8_murik_8 [283]

Answer:

7 / 13

Step-by-step explanation:

The number of cards in a standard deck = 52

Number of red cards in a deck = 26

Number of queens in a deck = 4

Selecting a card at random ;

Probability of picking a red card ;

P(red card) = number of red cards / number of cards in deck

P(red card) = 26 / 52

P(queens card) = number of queens / number of cards in deck

P(queens card) = 4 / 52

Number of red queen cards = (red n queen) = 2

P(red or queens card) = P(red) + P(queens) - P(red n queen)

P(red or queens card) = 26/52 + 4/52 - 2/52

= (26 + 4 - 2) / 52

= 28 /52

= 7 / 13

5 0
3 years ago
A family built a house and wanted to put down in their rectangular yard. The sod costs $0.32 per square foot plus 10 per square
sammy [17]

Answer:

The total cost of purchasing and laying sods in the rectangular yard is $2,146.67  

Step-by-step explanation:

We are given the following in the question:

Dimensions of rectangular yard:

Length = 50 feet

Width = 30 feet

Area of rectangular yard =

A = \text{Length}\times \text{Width}\\A = 50\times 30\\A  = 1500\text{ square feet}

Cost of sod = $0.32 per square foot

Total cost of sod =

C_1 = \text{Unit cost of sod}\times \text{Area of yard}\\C_1 = 0.32\times 1500\\C_1 = 480\$

Cost of laying sods = $10 per square yard

Total cost of laying sod =

C_2 = \text{Unit cost of laying sod}\times \text{Area of yard}\\\\\text{1 square yard}=\dfrac{1}{9}\text{Square foot}\\\\C_2 = 10\times \dfrac{1500}{9}\\\\C_2 = 1666.67\$

Total cost of purchasing and laying the sod =

C = C_1 + C_2\\C = 480 +1666.67\\C = \$2,146.67

Thus, the total cost of purchasing and laying sods in the rectangular yard is $2,146.67

3 0
3 years ago
teacher gives 5 students a multiple choice test, in which each problem is worth 1 point and there is no penalty with negative po
mamaluj [8]

The mean is the average value of a given set of numbers, and the median is the number in the middle of a set of numbers arranged in increasing order

The correct values as response to the questions are;

The minimum possible <em>top score</em> is <u>21</u>

The maximum possible <em>top score</em> is <u>32</u>

The <em>minimum </em>of the possible <em>standard deviation</em> is approximately <u>1.26</u>

The <em>maximum </em>of the possible <em>standard deviation</em> is approximately <u>11.7</u>

<u />

The reason the above values are correct are as follows:

<u />

The given parameters are;

The number of students that take the test, n = 5

The amount of points for each problem = 1 point

The median score = 9

The mean Score = 10

Required:

The minimum possible score;

The maximum possible top score

The minimum of the possible standard deviations

The maximum of the possible standard deviations

Solution:

Given that there is a score (the median) which is 9, we have;

The scores obtainable in the test is Scores ≥ 9

Therefore, for a score of 10, we have;

The minimum total points obtainable = Mean × Number of students

Therefore;

Total minimum total points obtainable by the 5 students = 5 × 10 = 50

  • The minimum possible top score

By arrangement, with the median at the middle, the minimum possible top score is given as follows;

0, 0, 9, 20, 21

Therefore, the minimum possible top score is <u>21</u>

<u />

  • The maximum possible top score

The maximum possible top score is similarly given by arrangement of the numbers as follows'

0, 0, 9, 9, 32

The maximum possible top score is <u>32</u>

<u />

  • The minimum standard deviation

By arrangement and selection, the minimum standard deviation is given as follows;

The minimum of the possible standard deviations of (9, 9, 9, 11, 12) ≈ <u>1.26</u>

  • The maximum of the possible standard deviation

The maximum of the possible standard deviation is given as follows;

The maximum of the possible standard deviation of (0, 0, 9, 9, 32) ≈ <u>11.7</u>

<u />

Learn more about mean and median here:

brainly.com/question/17012793

8 0
3 years ago
Will mark as Brainliest.
Brilliant_brown [7]
2a^4+5a^3-13a^2+19a-28
7 0
3 years ago
Read 2 more answers
The image of (4, 1) under the transformation T : (x, y) → (x + 3, y + 1) is
larisa [96]
(4 + 3 , 1 + 1)
(7,2)
4 0
4 years ago
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