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Leviafan
1 month ago
15

Which equations show you how to find 16-9?

Mathematics
1 answer:
tester [12.3K]1 month ago
5 0
The correct choice is B.
Starting with 16 minus 9 equals 7.
So, adding 7 to 9 results in 16.

If you add 1 to 9 (taken from the 7), you get 10, leaving 6 remaining.
9 plus 1 equals 10.

Adding the leftover 6 to 10 yields the total 16.
10 plus 6 equals 16.

Expressed as equations: 16 - 9 = 7 is equivalent to 9 + 7 = 16, which breaks down to (9 + 1) + 6 = 16.
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Island A is 150 miles from island B. A ship captain travels 240 miles from island A and then finds that he is off course and 200
babunello [11817]
Applying the cosine law, we can determine:

<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a, b, and c represent the sides of the triangle and C indicates the angle opposite to side c</span>

<span>Thus, we have:</span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>

<span>Now we solve for C</span>

<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500 - 57,600 - 40,000 = -96,000cos(C) 
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)→ C=38.53°

<span>Therefore, the direction the captain should head towards island B is
180 - 38.53 </span><span>= 141.47 degrees</span>
4 0
1 month ago
Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of t
Svet_ta [12734]

Answers:

C - The value of w cannot be negative.

D - The variable l is substituted with the value 20.

E - To isolate the variable w, the subtraction property of equality is applied.

~ .

4 0
1 month ago
Read 2 more answers
Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un
AnnZ [12381]

Answer: 0.1289

Step-by-step explanation:

Given: The proportion of students absent on Mondays at a large university.: p=0.15

Sample size: n=12

Mean: \mu=np=12\times0.15=1.8

Standard deviation = \sigma=\sqrt{np(1-p)}

\Rightarrow\ \sigma=\sqrt{12(0.15)(1-0.15)}=1.23693168769\approx1.2369

Let x represent a binomial variable.

Referencing the standard normal distribution table,

P(x=4)=P(x\leq4)-P(x\leq3) (1)

Z score for normal distribution:-

z=\dfrac{x-\mu}{\sigma}

For x=4

z=\dfrac{4-1.8}{1.2369}\approx1.78

For x=3

z=\dfrac{3-1.8}{1.2369}\approx0.97

Thus, from (1)

P(x=4)=P(z\leq1.78)-P(z\leq0.97)\\\\=0.962462-0.8339768\approx0.1289

Consequently, the likelihood of four students being absent = 0.1289

3 0
1 month ago
Which statements describe a residual plot for a line of best fit that is a good model for a scatterplot? Check all that apply.
babunello [11817]

Response: The accurate statements include:-

There are nearly equal quantities of points located above and below the x-axis.

The points are distributed haphazardly without a distinct pattern.

The total number of points matches that of the scatter plot.

Explanation:

  • A residual plot illustrates residuals on the vertical axis against the independent variable on the horizontal axis.

Consequently, the count of points is on par with the scatter plot, and roughly the same amount of points exist above and below the x-axis.

Given the random distribution of the points throughout the plot, it signifies there is no correlation, therefore, the points are scattered randomly without a clear arrangement.


8 0
22 days ago
Read 2 more answers
Explain why the decimal moving strategy can be used with SI units but not with imperial units
Leona [12618]
Because SI units are structured around powers of 10, you can shift the decimal point to convert; imperial units lack that base-10 organization, so the decimal-shifting method doesn't apply.
6 0
22 days ago
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