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2 years ago

The water pressure on Mustafa as he dives is increasing at a rate of 0.992 atmospheres (atm) per meter (m)

Mathematics

2 answers:

maria [59]2 years ago

8 0

Answer:

Rate of increase in water pressure is $992\ \dfrac{\text{atm}}{\text{km}}$

Step-by-step explanation:

The water pressure on Mustafa as he dives is increasing at a rate of $0.992\ \dfrac{\text{atm}}{\text{m}}$

We know that,

$1\ Kilometer=1\ meter\ \ \ \Rightarrow \ \ \ 1\ meter=10^{-3}\ Kilometer$

Hence,

$0.992\ \dfrac{\text{atm}}{10^{-3}\ \text{km}}=0.992\times 10^3\ \dfrac{\text{atm}}{\text{km}}=992\ \dfrac{\text{atm}}{\text{km}}$

Therefore, rate of increase in water pressure is $992\ \dfrac{\text{atm}}{\text{km}}$

liberstina [14]2 years ago

6 0

To pass it to atmospheres per kilometer you must multiply the value you have by 1000 because one kilometer represents 1000 meters. Therefore the correct answer would be that 0.992 atmospheres (atm) per meter (m) are 992 atmospheres per kilometer.

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Josephine bought 8 packets of biscuits. Each packet had a mass of 500 g

Nataly_w [17]

Answer: 985 g

Step-by-step explanation:

Total mass = 8 × 500g = 4000g

Let the three new packs be X, Y, and Z, for first, second, and third pack respectively.

4000g = X + Y + Z

let's put X and Z in terms of Y, since we're trying to solve for the second pack.

X = 2Y, and Z = Y + 60

Therefore,

4000 = X + Y + Z

4000 = 2Y + Y +Y + 60

4000 = 4Y +60

4000 - 60 = 4Y

3940 = 4Y

3940 ÷ 4 = Y

985g = Y = mass of the second pack

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2 years ago

Past studies indicate that about 60 percent of the trees in a forested region are classified as softwood. A botanist studying th

alukav5142 [94]

Answer:

1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.

Step-by-step explanation:

Hello!

The historical information indicates that 60% of the forest trees are classified as softwood.

A botanist thinks that the proportion might be greater than 60%, so he tested his belief obtaining:

H₀: p = 0.60

H₁: p > 0.60

p-value: 0.015

You need to interpret this p-value. Little reminder:

The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis. It represents the % of size n samples from a population with proportion p=p₀, which will produce a measure that provides evidence as (or stronger) than the current sample that p is not equal to p₀.

The correct answer is:

1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.

I hope this helps!

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2 years ago

The equation y = 5.78 • 1.15x fits the graph of stock XYZ over the past month with an r-value of .9918. How much do you think XY

lilavasa [31]

Not sure if this is right or not, but I chose 125.11 after I typed in the equation, haven’t used R-value at all. Will comment if correct — APEX

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2 years ago

Read 2 more answers

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

rusak2 [61]

Answer:

$x=30\\y=68\\z=82$

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

$y+z=5x$

The third angle is 14 more than the second

$z=y+14$

And remember that the sum of these three angles must be equal to 180.

$x+y+z=180$

Let's take these equations

$y+z=5x\\z=y+14\\x+y+z=180$

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

$x+y+z=180\\x+(y+z)=180\\x+(5x)=180$

Distribute the + sign

$x+5x=180$

Combine like terms;

$6x=180$

Divide by 6.

$x=\frac{180}{6}\\ x=30$

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example $z=y+14$

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

$x+y+z=180\\30+y+(y+14)=180$

Distribute the + sign and Combine like terms;

$30+y+y+14=180\\44+2y=180\\$

Subtract 44 to isolate 2y.

$2y=180-44\\2y=136$

Now divide by 2.

$y=\frac{136}{2}\\ y=68$

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

$x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82$

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2 years ago

What is the median of the following 7 scores?

dybincka [34]

First, you want to put all the numbers in order from least to greatest.

21, 33, 33, 42, 67, 79, 89

Now, you can use this song to help remember how to do these problems.

Cross off the sides till you get to the center. 1 is good, 2 is bad. (If you get two numbers in the middle) add then divide by two.

Cross off 21, then 89, then 33, then 79, then 33, then 67. Now, you're left with 42 in the middle. That is your median. Hope this helps! :)

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2 years ago