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sladkih [1.3K]
3 years ago
8

The question is on the sheet ​

Mathematics
1 answer:
Ghella [55]3 years ago
6 0
Y=1/2x-5 is the answer
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A soccer team scores an average of 11 goals per season. A double number line is drawn to figure out the average
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it c

Step-by-step explanation:

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What is the length of the hypotenuse? Answer : 17
leonid [27]

Answer:

Below.

Step-by-step explanation:

Finding the hypotenuse:

Recall the formula of Pythagoras'theorem,

  • (Hypotenuse)² = (Base)² + (Perpendicular)²

Given that base = 8 and perpendicular = 15

Plugging the values,we obtain

  • H² = 8² + (15)²
  • H² = 64 + 225
  • H² = 289
  • H = √(17*17)
  • H = 17

Now applying trigonometric functions:

Recall SOHCAHTOA , it's very helpful.

Sin θ = Sin A = Opposite/Hypotenuse

  • Sin A = 15/17 ≈ 0.88

cos θ = cos A = Adjacent/Hypotenuse

  • cos A = 8/17 ≈ 0.47

Tan θ = tan A = Opposite/Adjacent

  • tan A = 15/8 ≈ 1.88

Note: The values in decimal are rounded to nearest hundredth.

3 0
2 years ago
What is m, 2/3 × 4/5 = 1/3÷ m
ankoles [38]

Answer:

\frac{2}{3}  \times  \frac{4}{5}  =  \frac{1}{3}  \div m \\  \frac{8}{15}  =  \frac{1}{3m}  \\  \frac{8}{5}  =  \frac{1}{m}  \\ 8m = 5 \\ m =  \frac{5}{8}  \\

4 0
4 years ago
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A certain large manufacturing facility produces 20,000 parts each week. The manager of the facility estimates that about 1% of t
Slav-nsk [51]

Answer:

198 is the variance for the number of defective parts made each week.      

Step-by-step explanation:

We are given the following in the question:

Number of parts produced each week =  20,000

Percentage of defective parts = 1%

We have to calculate the variance for the number of defective parts made each week.

We treat defective part as a success.

P(Defective part) = 1% = 0.01

p = 0.01

Then the number defective parts follows a binomial distribution .

Formula for variance =

\sigma^2 = np(1-p) = 20000(0.01)(1-0.01) = 198

Thus, 198 is the variance for the number of defective parts made each week.

8 0
4 years ago
John read the first 1 1 4 114114 pages of a novel, which was 3 33 pages less than 1 3 3 1 ? start fraction, 1, divided by, 3, en
damaskus [11]

We are given statement " John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel".

Let us assume total number of pages of a novel = p pages.

3 less than 1/3 of total pages = 114.

3 less then 1/3 of P is = 114.

\frac{1}{3}P- 3 = 114

<h3>Therefore, required equation for number of pages of a novel is </h3><h3>\frac{1}{3}P- 3 = 114.</h3>
8 0
3 years ago
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