MATHEMATICS HIGH SCHOOL

Given: -7x < -21.

Choose the solution set.

Answers

Answer 1

Answer:

-7x<-21

The only thing you need to do is just divide both sides by -7

-7x/-7<-21/-7

x>3

I hope that's help :)

Answer 2

Answer: Hi there! Given the inequality -7x<-21, we divide both sides by -7, -7x/-7<-21/-7, -21/-7=3. Therefore, the answer is x>3.

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I’ve been trying to work this out for a while…
Please give the answer with explanation

Answers

a) Yes, The average speed of the train could have been greater than 145 km/h,

b) the new maximum average speed, correct to 2 decimal places, is approximately 2.46 km/minute.

a) To determine if the average speed of the train could have been greater than 145 km/h, we need to calculate the maximum possible average speed given the track length rounded to the nearest 10 km.

The track length is 290 km, rounded to the nearest 10 km. This means the actual track length could be anywhere between 285 km (290 km - 5 km) and 295 km (290 km + 5 km).

To find the maximum average speed, we'll assume the train took the minimum possible time (120 minutes) to cover the maximum possible track length (295 km):

Maximum Average Speed = (Maximum Possible Track Length) / (Minimum Possible Time)

Maximum Average Speed = 295 km / 120 minutes ≈ 2.4583 km/minute (rounded to 4 decimal places)

Since 2.4583 km/minute is greater than 145 km/h (which is approximately 2.4167 km/minute), the answer is:

Yes, the average speed of the train could have been greater than 145 km/h.

b) Now that we know the track was measured to the nearest 5 km, we'll calculate the new maximum average speed in km per minute based on the maximum possible track length (295 km) and the minimum possible time (120 minutes):

Maximum Average Speed = (Maximum Possible Track Length) / (Minimum Possible Time)

Maximum Average Speed = 295 km / 120 minutes ≈ 2.4583 km/minute (rounded to 4 decimal places)

So, the new maximum average speed, correct to 2 decimal places, is approximately 2.46 km/minute.

Learn more about average speed here:

brainly.com/question/29811573

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kelly is training for one marathon in week one she runs 7 miles in week two she runs 10 miles in week 3 she runs 13 miles given that she keeps the same pattern find the total distance kelly has run after practicing for 7 weeks

Answers

Answer:

25 miles on week 7

Step-by-step explanation:

Find the standard deviation of the data set shown. Round your answer to the nearest tenth.4,5,9,1,2,5

The standard deviation is about_________

Answers

Mark Brainliest Please

Answer:

Answer is gicen in the image attached.

Step-by-step explanation:

Standard deviation (SD) measured the volatility or variability across a set of data. It is the measure of the spread of numbers in a data set from its mean value and can be represented using the sigma symbol (σ). The following algorithmic calculation tool makes it easy to quickly discover the mean, variance & SD of a data set.

For more help check Khan academy video

https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/sample-standard-deviation/v/sample-standard-deviation-and-bias

Answer:

2.6

Step-by-step explanation:

To calculate standard deviation:

(1) Find the mean - 4.33

4 + 5 + 9 + 1 + 2 + 5 = 26 26 / 6 = 4.333... ≈ 4.33

(2) Subtract the mean from each value and square each result

$(4 - 4.33)^2 = 0.1089$ $(5 - 4.33)^2 = 0.4489$ $(9 - 4.33)^2 = 21.8089$

$(1 - 4.33)^2 = 11.0889$ $(2 - 4.33)^2 = 5.4289$ $(5 - 4.33)^2 = 0.4489$

(3) Find a new mean with the new values from the previous step

0.1089 + 0.4489 + 21.8089 + 11.0889 + 5.4289 + 0.4489 = 39.3334

39.3334 / 6 = 6.555566667

(4) Take the square root of the new mean.

$\sqrt[]{x6.555566667} =2.560384086$

2.560384086 rounded to the nearest tenth is: 2.6

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?0.005
0.015
0.245
0.735

Answers

Answer:

Option 3 is correct.

Step-by-step explanation:

Given that Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate.

we have to find the probability that Nathan is not allergic to penicillin and the test predicts it.

As, Nathan has a 75% chance of having the same allergy.

Hence, (100-75)%=25% chance of not having the same allergy.

Also the test predicts given

∴ Probability that Nathan is not allergic to penicillin and the test predicts it is = $25\%* 98\%$

= $0.25* 0.98=0.245$

Hence, Option 3 is correct.

0.245 because of him having the 75% chance of getting it and the test only being 98%

Using the drawing, how would you classify angles 9 and 10? A. Reflex

B. Obtuse

C. Adjacent

D. Vertical

Answers

The answer is D, I guess. Hope this helps
:)

Good morning everyone i need help. Mom didn’t catch my cold because she had it last week so now she’sEnter the word that best completes the sentence.

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