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zmey [24]
3 years ago
5

Which of the following values satisfies the inequality 9 < 2x + 7 < 15?

Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

B. X = 2

Step-by-step explanation:

2(0)+7 = 7 --> 7<9 so no

* 2(2)+7 = 11 --> 9<11<15 so yes *

2(4)+7 = 15 --> 15 = 15 so no

2(6)+7 = 19 --> 19>15 so no

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Solve the equation X/-2=5
Ipatiy [6.2K]

Answer:

\boxed {x = -10}

Step-by-step explanation:

Solve for the value of x:

\frac{x}{-2} = 5

-Multiply both sides by -2

x = 5 \times (-2)

\boxed {x = -10}

So, therefore, value of x is -10.

7 0
3 years ago
Line EF is the median of the trapezoid ABCD. The median connects the midpoint of the legs of a trapezoid. Use the diagram to fin
FromTheMoon [43]

Answer:

  • median: 15
  • base: 18

Step-by-step explanation:

The median is the average of the lengths of the two bases:

  5x -20 = (12 + (4x -10))/2

  5x -20 = 2x +1

  3x = 21 . . . . . add 20-2x

  x = 7

Then the lengths are ...

  median = 5x -20 = 5·7 -20 = 15

  base = 4x -10 = 4·7 -10 = 18

6 0
3 years ago
Cuando es 2+2?solo estoy viendo que tan certeros son y aparte son puntos gratis
olga nikolaevna [1]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Assume that the poisson distribution applies and that the mean number of hurricanes in a certain area is 7.2 per year.
SCORPION-xisa [38]
Part A:

The poisson distribution is given by 

P(x;\mu)=e^{-\mu}\cdot \frac{\mu^x}{x!}

Thus, given that <span>the mean number of hurricanes in a certain area is 7.2 per year.

The </span><span>probability​ that, in a​ year, there will be 6 hurricanes is given by

</span>P(6;7.2)=e^{-7.2}\cdot \frac{7.2^6}{6!} \\ \\ =0.000747\times \frac{139314.0695}{720} \\ \\ =0.000747\times193.492 \\ \\ =0.1445


Part B:

<span>In a 45​-year ​period, the number of years that are expected to have 6 ​hurricanes is given by 0.1445 x 45 = 6.5 years.


Part C:

The poisson distribution worked here because, the observed value of the number of years that hurricanes occurred in a 45 year period which is 6 is very close to the calculated value which is 6.5</span>
4 0
3 years ago
Labyrinth Middle School is 363 ft long Tabitha makes a scale model of the skull and the drawing is 33 in Long. What is the scale
san4es73 [151]

1 inch on the drawing represents 11 feet in the labyrinth middle school.

Step-by-step explanation:

Step 1:

The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.

So 33 inches on the drawing is equal to 363 feet in the labyrinth school.

Step 2:

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling

The scale factor = \frac{33}{363} = \frac{1}{11}.

So the scale factor is \frac{1}{11}. This means that 1 inch on the drawing is 11 feet in the actual school.

8 0
3 years ago
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