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PIT_PIT [208]
3 years ago
10

Which expression is equivalent to?

Mathematics
2 answers:
AlekseyPX3 years ago
7 0

Answer:

D

Step-by-step explanation:

multiply the inside by -0.5

iogann1982 [59]3 years ago
6 0

Answer:

-3\left(x-2\right)

Step-by-step explanation:

\frac{-1}{2}\left(6x-12\right)=\frac{\left(-1\right)\left(6x-12\right)}{2}==-\frac{\left(6x-12\right)}{2}=-3\left(x-2\right)

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Home Videos Inc. surveys 450 households and finds that the mean amount spent for renting or buying videos is P135 a month and th
adell [148]

SOLUTION:

Case: Hypothesis testing

Step 1: Null and Alternative hypotheses

\begin{gathered} H_0:\mu=P127.50 \\ H_1:\mu\leq P127.50 \end{gathered}

Step 2: T-test analysis

\begin{gathered} t=\frac{\hat{x}-\mu}{\frac{s}{\sqrt{n}}} \\ t=\frac{135-127.5}{\frac{75.25}{\sqrt{450}}} \\ t=2.144 \end{gathered}

Step 3: t-test with the significance level

\begin{gathered} t_{\alpha}=? \\ \alpha=0.05 \\ From\text{ }tables \\ t_{0.05}=1.654 \end{gathered}

Step 4: Comparing

t>t_{\alpha}

So tail to reject the null hypothesis. There is enough evidence at a 0.05 level of significance to claim that the mean spent is greater than P127.50.

Final answer:

Yes, there is evidence sufficient to conclude that the mean amount spent is greater than P127.50 per month at a 0.05 level of significance.

6 0
1 year ago
A coin is tossed 6 times. Find the probability P(of exactly 4 occurrences of heads).
Angelina_Jolie [31]
Let's draw!

H                             1                              T
HT                           2                           HT
HTHT                      3                      HTHT
HTHTHT                 4                  HTHTHT
HTHTHTHT            5             HTHTHTHT
HTHTHTHTHT       6        HTHTHTHTHT

You can count the probabilities using this.

HHHHTT
HHHTHT
HHTHHT
HHTHTH
HHHTTH
HTHHHT
HTTHHH
HTHTHH
HTHHTH

THHHHT
THHHTH
THHTHH
THTHHH
TTHHHH

Therefore, I think the probability is 14/64. Not sure so check my work.
14 combinations
64 outcomes (2+4+8+16+32+64 or 2^n)

7 0
3 years ago
April has 40 cookies to make for upcoming bake sale. she made 3/5 of the cookies chocolate chip and 1/4 of them peanut butter. H
Vikki [24]
30 chocolate chip and 10 peanut butter
5 0
3 years ago
Read 2 more answers
The altitude of a plane is 1,600 ft. What must be the altitude of a submarine so that the sum of their altitudes is 0?
RSB [31]
You must mean the depth of the submarine.

to make  sum = zero the depth of the sub must be -1600 ft..
7 0
4 years ago
Read 2 more answers
L. The width, w, of the rectangle is 10 inches. What is the perimeter of the rectangle?
trasher [3.6K]
40 inches because a rectangle has 2 sets of parallel lines and if the width and length are 10 then you just have to add up all the sides.
8 0
3 years ago
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