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mr Goodwill [35]
3 years ago
12

Which is the best interpretation of the solution set for the compound inequality?

Mathematics
2 answers:
lara [203]3 years ago
4 0
The Answer is C)x>3 or x<4 but i think you switched the signs around
Fantom [35]3 years ago
4 0

Answer:  The correct option is (b) 3

Step-by-step explanation:  We are given to select the best interpretation of the solution set for the following compound inequality :

3(2x+1)>21~~\textup{or}~~4x+3

We are to solve the inequalities separately.

We have

3(2x+1)>21\\\\\Rightarrow 2x+1>\dfrac{21}{3}\\\\\Rightarrow 2x+1>7\\\\\Rightarrow 2x>6\\\\\Rightarrow x>\dfrac{6}{2}\\\\\Rightarrow x>3

or

4x+3

Thus, the required solution is

3

Option (b) is CORRECT.

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A shop makes a profit of £2750 in March it has an Easter sale and the profit for April is £3162.50. Work out the profit percenta
astraxan [27]

Answer:

The profit percentage increase is given by:

(April profit-March profit)/(April profit)×100

=(3162.50-2750)/3162.50×100

=13.044%

Step-by-step explanation:


7 0
3 years ago
2 angles that are complementary. One angle is 4 degrees less than three times the other angle. Find the measures of the angles.
77julia77 [94]
Complementary angles add to 90o

the other angle = x
the first angle = 3x - 4

x + 3x - 4 = 90
4x - 4 = 90
4x = 94
x = 94/4
x = 23.5

the first angle = 3*23.5 - 4 = 66.5
6 0
3 years ago
f students receive 50% profit of $20 for selling one chocolate box in a fundraiser, how much money would they make if they sold
Vedmedyk [2.9K]

Answer:

the answer is 50$ hope it helps :)

Step-by-step explanation:

3 0
3 years ago
What is the length of JK?<br> a. 6cm<br> b. 7cm<br> c. 10cm<br> d. 13cm<br><br> 50 POINTS!! HURRY!
Sedaia [141]

Answer:

10 cm.

Step-by-step explanation:

Since this is a parallelogram, the two trapezoids have to be isosceles. Therefore, 8+2=10

Please mark as Brainliest! :)

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6 0
4 years ago
Recall that the trash bag manufacturer has concluded that its new 30-gallon bag will be the strongest such bag on the market if
Alex_Xolod [135]

Complete Question

Recall that the trash bag manufacturer has concluded that its new 30-gallon bag will be the strongest such bag on the market if its mean breaking strength is at least 50 pounds. In order to provide statistical evidence that the mean breaking strength of the new bag is at least 50 pounds, the manufacturer randomly selects a sample of n bags and calculates the mean _ x of the breaking strengths of these bags. If the sample mean so obtained is at least 50 pounds, this provides some evidence that the mean breaking strength of all new bags is at least 50 pounds. Suppose that (unknown to the manufacturer) the breaking strengths of the new 30-gallon bag are normally distributed with a mean of m 5 50.6 pounds and a standard deviation of s 5 1.62 pounds. a Find an interval containing 95.44 percent of all possible sample means if the sample size employed is n=4

Answer:

X=(48.98,52.22)

Step-by-step explanation:

From the question we are told that:

Sample Mean \mu=50.6

\sigma =1.62

Sample size n=4

Level of significance \alpha 100-95.4=>4.56

Therefore

Z-value( \alpha/2)=2

Generally the equation for Interval is mathematically given by

X=\mu \pm z(alpha/2)* \frac{sd}{sqrt(n)}

X= 50.6 \pm z(0.0456/2)* \frac{1.62}{sqrt(4)}

X=50.6 \pm 2*\frac{1.62}{2}

X=(48.98,52.22)

5 0
3 years ago
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