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2 years ago

Here is a shape.

Mathematics

2 answers:

Nat2105 [25]2 years ago

8 0

Answer:

hexagon

Step-by-step explanation:

because it is having a six sided figure

scZoUnD [109]2 years ago

5 0

Answer:

hexagon is the six sided mathematical shape

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Suppose x is a real number and epsilon > 0. Prove that (x - epsilon, x epsilon) is a neighborhood of each of its members; in

kaheart [24]

Answer:

See proof below

Step-by-step explanation:

We will use properties of inequalities during the proof.

Let $y\in (x-\epsilon,x+\epsilon)$ . then we have that $x-\epsilon$ . Hence, it makes sense to define the positive number delta as $\delta=\min\{x+\epsilon-y,y-(x-\epsilon)\}$ (the inequality guarantees that these numbers are positive).

Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that $(y-\delta,y+\delta)\subseteq (x-\epsilon,x+\epsilon)$ , and if we prove this, we are done. To prove it, let $z\in (y-\delta,y+\delta)$ , then $y-\delta$ . First, $\delta \leq y-(x-\epsilon)$ then $-\delta \geq -y+x-\epsilon$ hence $z>y-\delta \geq x-\epsilon$

On the other hand, $\delta \leq x+\epsilon-y$ then $z$ hence $z$ . Combining the inequalities, we have that $x-\epsilon$ , therefore $(y-\delta,y+\delta)\subseteq (x-\epsilon,x+\epsilon)$ as required.

3 0

3 years ago

The MTC Theater holds 250 people, and last night’s performance sold out! Students paid $3.00 per ticket, while adults paid $5.0

Lilit [14]

9514 1404 393

Answer:

s + a = 250
3s + 5a = 1050

Step-by-step explanation:

Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...

s + a = 250 . . . . . . total of tickets sold

3s +5a = 1050 . . . dollar value of tickets sold

_____

The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.

3 0

3 years ago

Pre-algebra<br> Pls help-

Anestetic [448]

Answer: 9

Step-by-step explanation: just devide then times

5 0

1 year ago

Read 2 more answers

Help on this assignment please :(

topjm [15]

Answer:

x = 16

Step-by-step explanation:

The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.

In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...

... m∠A +m∠B +m∠C = 180°

... (3x+6)° +50° +(9x -68)° = 180°

... 12x -12 = 180 . . . . . divide by °, collect terms

... x -1 = 15 . . . . . . . . . .divide by the coefficient of x

... x = 16 . . . . . . . . . . . add 1

_____

<em>Check</em>

m∠A = (3x+6)° = 54°

m∠C = (9x -68)° = 76°

The total of angles is 54° +50° +76° = 180°. . . . . as it should be

7 0

3 years ago

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$