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anzhelika [568]
3 years ago
12

Give work for equations following: -x+2y<-4 2x+3y>6 thanks sooooo much!!!!

Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer: See below

Step-by-step explanation:

A) -x+2y < -4

-x+2y-2y < -4-2y

-x < -4-2y

Multiply both sides by -1 and reverse the inequality:

\left(-x\right)\left(-1\right) > -4\left(-1\right)-2y\left(-1\right)

x > 4+2y

B) 2x+3y > 6

2x+3y-3y > 6-3y

2x > 6-3y

\frac{2x}{2} > \frac{6}{2}-\frac{3y}{2}

x > \frac{6-3y}{2}\\x > 3-\frac{3y}{2}

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The birth weights of newborn babies in the United States follow a normal distribution with a mean of 3.4 kg and a standard devia
Scrat [10]

Answer:

3.4 kg

0.06 kg

Step-by-step explanation:

Given that:

Birthweight follows a normal distribution :

Mean weighf (m) = 3.4 kg

Standard deviation (σ) = 0.6 kg

Sample size (n) = 100 new born babies

calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution

The sample mean birth weight = population mean birth weight for a normal distribution according to the central Limit theorem.

Hence, sample mean birth weight = 3.4kg

Standard deviation of sampling distribution = standard error = σ/√n

0.6 / √100

= 0.6 / 10

= 0.06 kg

5 0
3 years ago
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he
evablogger [386]
1) The population

Is the set of all the terms that the teacher taught this semester and which he wrote down on the note cards and put in the paper bag.

2) The sample is every set of five cards that is selected by each student.

3) I think the sample is representative because all ther terms have the same probability of being selected.

Further, given that the cards are replaced every time all the students will face the same population when they are going to select a sample.
7 0
4 years ago
Read 2 more answers
Describe how the graph of the equation y = 3x – 4 would change if the slope was changed to
Nady [450]

9514 1404 393

Answer:

  D  The new line would be less steep than the original line.

Step-by-step explanation:

Assuming the slope is change from 3 to 1/3, the new line would be less steep.

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The steepness of a line increases as the magnitude of the slope increases. The slope 1/3 is less than 3, so a line with that slope is less steep than a line with a slope of 3.

4 0
3 years ago
The function H(t) = −16t2 + 96t + 80 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t
Oksi-84 [34.3K]
<span>we have that

H(t) = −16t</span>²<span> + 96t + 80
</span><span>g(t) = 31 + 32.2t

Part A)
see the attached table
</span><span>the solution to H(t) = g(t) is between t=4 sec and t=5 sec
for t=4 sec
H(4)=208 ft   and g(4)=159.8 ft
so
H(t) > g(t)

 </span>for t=5 sec
H(5)=160 ft   and g(5)=192 ft
so
H(t) < g(t)

<span>that change of H(t) from being greater to becoming smaller tells me that the solution is in that interval [4, 5]
</span>
Part B)<span>Explain what the solution from Part A means in the context of the problem
</span>when H(t)=g(t) means <span>that the projectile destroyed the object N 2 in the interval [4,5]

to find the exact solution

</span>−16t² + 96t + 80=31 + 32.2t
−16t² + 96t + 80-31-32.2t=0
−16t² + 63.8t + 49=0<span>

using a graph tool
see the attached figure

the exact solution is 
t=4.65 sec</span>

8 0
3 years ago
Marge purchased bicycle helmets and tire pumps. Each helmet cost $12.00 and each pump cost $8.00. She purchased a total of 18 it
algol [13]

Answer:

11

Step-by-step explanation:

Let the no. of helmet be x

cost of 1 helmet = $12.00

cost of x helmet = $12.00*x = $12x

Let the no. of tire pumps be y

cost of 1 tire pumps = $8.00

cost of x tire pumps = $8.00*y = $8y

Given that total no. of helmet and pump is 18

thus

x + y = 18

y = 18-x

also given

total money spent is $188

thus

12x+8y = 188

using y = 18 - x

we have

12x + 8(18-x) = 188

=> 12x+ 144 - 8x = 188

=> 4x = 188-144 = 44

=> x = 44/4 = 11

Thus, no of helmet bought by Margo is 11.

7 0
3 years ago
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