MATHEMATICS HIGH SCHOOL

uses long wavelength energy in the electromagnetic spectrum to reflect waves to a receiver and form images from space​

Answers

Answer 1
Answer:

Step-by-step explanation:

Since the last reflecting off glass

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Corey and his two friends, Alex and Carl, have a combined weight of 405 pounds. Corey weighs 127 pounds. Alex weighs at least 130 pounds, but no more than 145 pounds. Which inequality represents Carl's weight (x)?

Answers

133 ≤ x ≤ 148

We first take Corey's weight off of the total:
405-127 = 278

The other two boys together weigh 278.

We know that Alex weighs no more than 145 and no less than 130.  Taking these two numbers off of the 278 will give us the constraints for Carl's weight:
278-145 = 133
278-130 = 148

This means that 133 ≤ x ≤ 148

Which fraction converts to a terminating decimal number?a.) 1/6
b.) 2/9
c.) 3/8
d.) 4/7

Answers

Answer:  The correct option is (C) (3)/(8).

Step-by-step explanation:  We are given to select the fraction that converts to a terminating decimal number.

(a) The first fraction is (1)/(6).

We have

(1)/(6)=0.16666...

Since this decimal is non-terminating, so this option is NOT correct.

(b) The second fraction is (2)/(9).

We have

(2)/(9)=0.2222...

Since this fraction is non-terminating, so this option is NOT correct.

(c) The second fraction is(3)/(8).

We have

(2)/(9)=0.375.

Since this fraction is terminating, so this option is CORRECT.

(d) The second fraction is (4)/(7).

We have

(4)/(7)=0.5714...

Since this fraction is non-terminating, so this option is NOT correct.

Thus, option (C) is CORRECT.
terminating decimal...a decimal that ends
1/6 = 1.66 (with a line over the 66 because it does not end)
2/9 = 0.22 (with a line over the 22 because it does not end)
3/8 = 0.375
4/7 = 0.571428 (with a line over 571428 because it does not end)

so ur answer is : 3/8

In Juneau, Alaska, the 30-year annual snowfall average is 86.7 inches with a standard deviation of 40.4 inches. The last four years saw an average annual snowfall of 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches. Hia performs a hypothesis test on this data to determine if the next 30-year norm will have a different average if the trend from the last four years continues. She uses a significance level of 5%. Which of the following is a conclusion that she may make?a) The z-statistic is 1.44, so the null hypothesis cannot be rejected.
b) he z-statistic is 1.68, so the null hypothesis cannot be rejected.
c) The z-statistic is 1.85, so the null hypothesis should be rejected.
d) The z-statistic is 4.6, so the null hypothesis should be rejected.

Answers

The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches. To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years. Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches. Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches. To compute for the z-score, we have z-score = (x – μ) / (σ / √n) where x is the computed/measured value, μ is the expected mean, σ is the standard deviation, and n is the number of samples. Using the information we have, z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68 In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05. Therefore, the answer is B.

Answer:

its B

Step-by-step explanation:

(6x^5+21x^4+33x^3+0x^3+18x+12)÷(6x+3)

Answers

so first factor out the big equation on top
very hard
we can cancel out the 0x terms since 0x=0

so we notice that 3 is a factor of both equations
(6x+3)=(3)(2x+1)

and
(6x^5+21x^4+33x^3+18x+12)=(3)(2x+1)(x^4+3x^3+4x^2-2x+4
so we notice that there is a (3)(2x+1) in bot h so divide and cross them out

the answer is (x^4+3x^3+4x^2-2x+4)

Find the mean, median, and mode of the data set. Round to the nearest tenth.15, 1, 4, 4, 8, 7, 15, 4, 15, 4, 5
Choose one answer.
a. mean = 6.8, median = 5, mode = 4
b. mean = 7.5, median = 5, mode = 4
c. mean = 7.5, median = 8, mode =4
d. mean = 6.8, median = 5, mode = 8

Answers

First im gonna organize the numbers from smallest to biggest:
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 ( These are 11 numbers)

For mean, you have to add all the numbers then divide it by 11.
The answer is about 7.5

For median, you have to find the "middle number, but you have to organize the numbers from smallest to largest like I did.
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 . 5 is the middle number, well because its in the middle

For mode you have to find the number that is most repeated.
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15  (there are three 15's)
There are four 4's so the answer is 4


The answer, then is B
The mean is the average, add up the numbers and divide by how many numbers there are.

\sf~Mean=(15+1+4+4+8+7+15+4+15+4+5)/(11)

Add:

\sf~Mean=(82)/(11)

Divide:

\sf~Mean\approx7.5

The median is the middle number. First, line up the numbers in order of least to greatest.

1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15

Now find the number in the middle:

That number is 5, so that's our median.

The mode is the most repeated number.

As you can see, 4 is repeated the most, so it's the mode.

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm . which equation best models green light? a. y= sin pi/510 theta b. y= sin pi/255 theta c. y= sin 510/pi theta d. sin 255/pi theta

Answers

Answer:

y=\sin((\pi \theta)/(255))

B is correct.

Step-by-step explanation:

A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm .

Equation of sine wave:

y=\sin(ax)

As we know the period of sine function is 2π

Period of this function y=\sin(ax) is 2π/a

We are given the period of function is 510

Thus, 510=(2\pi)/(a)

Now we will solve for a

a=(2\pi)/(510)

a=(\pi)/(255)

Required equation: y=\sin((\pi \theta)/(255))

Hence, The equation for best models green light is y=\sin((\pi \theta)/(255))
A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm. The equation that best models green light is y= sin 510/pi theta. The answer is letter C.
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