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eimsori [14]
3 years ago
8

An English teacher needs to pick 4 books to put on his reading list for the next school year. He has narrowed down his choices t

o 8 novels and 6 plays.
a. How many different ways can he choose the books to put on the list if he wants to include at least two plays?
b. Find the standard deviation.
Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

Answer:

A) 3 ways

B) sorry don't know.

Step-by-step explanation:

2 P and 2 N

3P and 1 N

4P

So 3 ways.

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In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?
Rus_ich [418]
1.66666666667 inches per hour
8 0
3 years ago
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Solve sec2theta + tantheta - 3 =0 for 0
Serhud [2]

Answer:

Ф = \frac{\pi }{4} ,\frac{5\pi}{4}

Step-by-step explanation:

It is a bit difficult to input the work here, so I uploaded an image

  • First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
  • Then we can combine like terms
  • Then we can factor this as a polynomial function
  • Then we can set each term equal to zero and solve for Ф
  • The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
  • The second term tan(Ф) - 1 = 0 has two solutions of \frac{\pi}{4} and \frac{5\pi}{4} so these are the solutions to the problem

7 0
3 years ago
1<br> Which sequence of transformations takes AA to its image, AB ?
lianna [129]

A rigid transformation preserves the dimensions of the image

The option that gives the sequence of transformation that takes ΔB to ΔB is  the option B.

<u>(B) Reflection across y-axis and a translation 2 units down </u>

Reason:

Question: The sequence of transformation that takes ΔA to image ΔB

<em>From a similar question, we have, ;</em>

<em>The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)</em>

<em>The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)</em>

<em>The options are; </em>

<em>(A) Reflection over the x-axis and 2 units translation down</em>

<em>(B) Reflection over the y-axis and 2 units translation down</em>

<em>(C) 90° rotation after a translation of 2 units down</em>

<em>(D) 90° rotation after a translation of 12units right</em>

Solution;

The length of the base of ΔA = -3 - (-9) = 6

The length of the base of ΔB = 9 - 3 = 6

Therefore, the length s of triangle A and triangle B are equal

The orientation of the base of ΔA and ΔB are both horizontal

The location of the the side that traverses four cells are both furthest from the y-axis, or the vertical

Therefore, ΔB is a reflection of ΔA across the y-axis

We also have;

The base of ΔB is 2 units lower than the base ΔA

Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down

Learn more here;

brainly.com/question/23461633

7 0
3 years ago
Please help its urgent​
navik [9.2K]

Answer:

Step-by-step explanation:

18x-6=120

18x=120+6

18x=126

    x=126÷18

    x=7

5 0
3 years ago
What two numbers multiply to -20 then add to -8?
VARVARA [1.3K]

Answer:

-10 and 2

Step-by-step explanation:

1.  Think about what numbers multiply to -20:  -10 and 2, 10 and -2, -20 and 1, 20 and -1, 4 and -5, -4 and 5

2.  Then, think about which of the above adds to -8.  This leaves you with -10 and 2

7 0
2 years ago
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