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Butoxors [25]
3 years ago
5

PLZ HElp!! Solve the inequality. –6 < 2x – 4 < 4

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0

Answer:

- 1 < x < 4

Step-by-step explanation:

- 6 < 2x - 4 < 4 \\  - 6 + 4 < 2x < 4 + 4 \\  - 2 < 2x < 8 \\  \frac{ - 2}{2}  < x <  \frac{8}{2}  \\  \purple{ \boxed{ \bold{ - 1 < x < 4}}}

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Philip has a box of crayons. 45 are yellow, 12 are green, 25 are blue, and 8
telo118 [61]

Answer:

option d

Step-by-step explanation:

First we find the probability of getting green, then we can subtract the result from 1 to find the probability of not getting the green crayon

P( green )    

\frac{12}{45+12+25+8} \\= \frac{2}{15}

P '(green) = 1 - 2/15

= 13/15

7 0
2 years ago
Jada has picked 1 cup of strawberries for a cake, which is enough for ¾ of the cake. How many cups does she need for the whole c
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She needs 1/4 more or .25cup more for the whole cake
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3 years ago
Read 2 more answers
Women athletes at the university of colorado, boulder, have a long-term graduation rate of 67% (source: the chronicle of higher
Elodia [21]

 

The solution would be like this for this specific problem:

H0: p = p0, or <span>
H0: p ≥ p0, or 
H0: p ≤ p0 </span>

 

find the test statistic z = (pHat - p0) / sqrt(p0 * (1-p0) / n) 

 

where pHat = X / n 

 

The p-value of the test is the area under the normal curve that is in agreement with the alternate hypothesis. <span>
H1: p ≠ p0; p-value is the area in the tails greater than |z| 
H1: p < p0; p-value is the area to the left of z 
H1: p > p0; p-value is the area to the right of z </span>

 

Hypothesis equation:

 

H0: p ≥ 0.67 vs. H1: p < 0.67 

 

The test statistic is: <span>
z = ( 0.5526316 - 0.67 ) / ( √ ( 0.67 * (1 - 0.67 ) / 38 ) 
z = -1.538681 </span>

 

The p-value = P( Z < z ) <span>
= P( Z < -1.538681 ) 
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6 0
3 years ago
Please help with these two!!!
SashulF [63]

Answer:

thanks for the points here u go

Step-by-step explanation:

7 0
3 years ago
According to the National Education Association (NEA), teachers generally spend more than 40 hours each week working on instruct
abruzzese [7]

Answer:

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Step-by-step explanation:

Median of a data set:

The median of a data set is the element that separates the lower 50% of the set from the upper 50%.

If the cardinality n of the set is odd, the median is the element at the position (n+1)/2 of the sorted sed.

If the cardinality n of the set is even, the median is the mean between the elements at the position n/2 and (n/2)+1 of the sorted sed.

In this question:

Hours worked for the sample of 13 high school science teachers:

55, 58, 52, 52, 56, 59, 48, 63, 52, 52, 50, 52, 56

Sorting in an ascending way:

48, 50, 52, 52, 52, 52, 52, 55, 56, 56, 58, 59, 63

Cardinality of 13, so odd, the median is the element at the 13+1/2 = 7th position of the sorted set, which is 52.

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

8 0
3 years ago
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