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Anettt [7]
2 years ago
13

Solve 5n -14≤11 *10 points*​

Mathematics
1 answer:
Sedbober [7]2 years ago
4 0

Answer:

n ≤ 5

Step-by-step explanation:

First, we add 14 to both sides. This gets us 5n ≤ 25. Next, we divide both sides by 5. This gets us n ≤ 5. I hope this helps!

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Geometry Question- Triangles
xz_007 [3.2K]

The answer is D) 1/4


We draw the triangle and we notice triangle ABC is similar to DBE so all the sides will be in proportion.


Since AC is 4 times longer than DE, all the sides of triangle ABC will be 4 times longer.


Then if the perimeter of ABC was lets say 8, DBE would have a perimeter of 2.


D is the answer :)

5 0
3 years ago
While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and mound-s
erma4kov [3.2K]

Answer:

a) 97.1\% b) 13.6\%  c) 772 \:calories

Step-by-step explanation:

\mu=1071,\:\sigma=301

1) The 68-95-99.7 rule tells us how a distribution is divided. 99.7% of the distribution should fall within 3; 95%,  2 and 68%, 1 standard deviation from the mean.

As you can see in the graph.

a). What is the approximate percentage of the Chipotle meals that have more than 469 calories?

By the rule

We have the interval 68% is equal to the mean plus 1 standard deviation and minus one standard deviation.

So

68\%=(\mu-2\sigma,\mu+2\sigma)=(1071-2(301), 1071+2(301)=(469,1672)

But the question wants to know more than 469 calories, then13.6\%+34\%+34\%+13.6\%+2.1\%=97.1\%\\

b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?

Check the graph below

This percentage is the interval, which is a quarter of that 95%

(\mu +\sigma,\mu+2\sigma)=(1372,1673)=\frac{95\%}{4}=13.6\%

c.. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?

Since we're dealing with a Normal Curve, then to find the 16th percentile we need:

  • The Mean and Standard deviation
  • The Z score and then multiply by that Standard Deviation
  • Add this to the mean

.Z\: score=-0.994\\\\(-0.994)*301=-299.194\\-299.194+\mu \Rightarrow -299.194+1071=771.806\approx772

We have the location 772 = 16th percentile. Since this meal is equal to 16th percentile, then this meal has 772 calories.

8 0
3 years ago
If r = 4 and a6 = 192, what is the first term of the sequence?
blagie [28]

Answer:

Answer: Option c. 0.1875 is the first term of the sequence.

Step-by-step explanation:

In this question sixth term of a sequence is given as A(6)= 192

Ratio of terms is given as 4

And we have to calculate the first term of the sequence.

As per formula A(n) = A(1)×r^{n-1}

                         A(6) = A(1)(r)^{6-1}

                          192 = A(1)4^{5}

                           A(1) = \frac{192}{4^{5} }

                                 = 192/1024

                                 =0.1875

So the first term of the sequence will be 0.1875      



5 0
3 years ago
Answer ASAP! Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
vlabodo [156]

Answer: is If something is a function, every x-value, only has one (1) y-value. If the line x = 0 intersects the graph in two points, there are to values for y (instead of one). Therefore the graph is not a function of x.

Step-by-step explanation: answer is A

5 0
2 years ago
A line that passes through the origin also passes through the point (6,2). What is the slope of the line?
vagabundo [1.1K]

Answer:

slope=1/3

Step-by-step explanation:

y=mx+b

2=m*6+0

m=1/3

7 0
3 years ago
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