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Svet_ta [14]
3 years ago
9

Solve the inequality -3(j+3)+9j<-15

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0
Simplify
−
3
(
j
+
3
)
+
9
j
-
3
(
j
+
3
)
+
9
j
.
Tap for fewer steps...
Simplify each term.
Tap for more steps...
−
3
j
−
9
+
9
j
<
−
15
-
3
j
-
9
+
9
j
<
-
15
Add
−
3
j
-
3
j
and
9
j
9
j
.
6
j
−
9
<
−
15
6
j
-
9
<
-
15
Move all terms not containing
j
j
to the right side of the inequality.
Tap for fewer steps...
Add
9
9
to both sides of the inequality.
6
j
<
−
15
+
9
6
j
<
-
15
+
9
Add
−
15
-
15
and
9
9
.
6
j
<
−
6
6
j
<
-
6
Divide each term in
6
j
<
−
6
6
j
<
-
6
by
6
6
and simplify.
Tap for fewer steps...
Divide each term in
6
j
<
−
6
6
j
<
-
6
by
6
6
.
6
j
6
<
−
6
6
6
j
6
<
-
6
6
Simplify the left side.
Tap for more steps...
j
<
−
6
6
j
<
-
6
6
Simplify the right side.
Tap for more steps...
j
<
−
1
j
<
-
1
The result can be shown in multiple forms.
Inequality Form:
j
<
−
1
j
<
-
1
Interval Notation:
(
−
∞
,
−
1
)
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A factory made 845 pairs of shoes in January. These shoes were sent to three shoe stores and one outlet mall. The number of pair
Semenov [28]
Answer=65 pairs of shoes

Given the data, the following equation can be made where x is equal to the number of shoes sent to the outlet mall.

845=4x+4x+4x+x
845=13x
divide both sides by 13
65=x

65 pairs of shoes were sent to the outlet mall
7 0
4 years ago
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The number of patients treated at Dr. McCormick’s dentist office each day was recorded for nine days. These are the data: 13, 16
NARA [144]
First, lets sort the list from smallest to greatest. This will help with median, mode, and range.

4, 6, 10, 12, 12, 13, 16, 16, 16

Next, lets find the mean. Mean is found by adding all numbers up, then dividing them by the number of entries in the data set.

4+6+10+12+12+13+16+16+16 = 105
105 / 9 = 11.7

So the mean is 11.7.

Next, we'll find the median. The median is the value in the center of the list. Because there are 9 values, that means the center of the list is 5 with four numbers on each side of it. The 5th number in the list is 12, so that's our median.

Continuing, the mode is the number or numbers that appears the most often. For this data set, 16 appears 3 times while all other numbers appear 2 times or less. So, the mode is 16.

Lastly, the range is the difference between the largest number and the smallest number.

16 - 4 = 12

So the range is 12.

The second answer in the list matches all of these values, and is the correct solution.
7 0
3 years ago
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What is the 20 digit of 89
Llana [10]
The twentieth digit would be 20. Hope you found this helpful
7 0
3 years ago
In a survey of 1,532 former UF students, 84% said they were still in love with Tim Tebow. The survey's sampling error was 2%. Us
nalin [4]

Answer:

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

Step-by-step explanation:

step 1:-

Given sample survey former UF students n = 1532

84% said they were still in love with Tim Tebow

p = 0.84

The survey sampling error

                                                 = \sqrt{\frac{p(1-p)}{n} }

Given standard error of proportion = 2% =0.02

<u>Step 2</u>:-

The 99% of z- interval is 2.57

The 99% of confidence intervals are

p ± zₐ S.E     (since sampling error of proportion = \sqrt{\frac{pq}{n} }

(0.84 - 2.57X0.02 , 0.84 + 2.57X0.02)

on simplification , we get

(0.84 - 0.0514 , 0.84 + 0.0514)

(0.79 , 0.89)

<u>conclusion</u>:-

confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.

(0.79 , 0.89)

4 0
3 years ago
A blueprint of a barn is shown.The scale is 5 inches =8 feet. Find the actual length of the wall that is labeled 20 inches.
kenny6666 [7]
5=8
20/5=4
8x4=32
The answer is 32 feet
4 0
2 years ago
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