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iren [92.7K]
3 years ago
14

-3 1/3< x/3-2 ≤ 1/6 Can anyone help me turn this into a simplified inequality?

Mathematics
1 answer:
mariarad [96]3 years ago
3 0

Answer:(

−

4

,

13

2

]

Step-by-step explanation:

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“If it is July then it is summer, and it is not July therefore it is not summer” Is this reasoning valid? Why or why not?
MAVERICK [17]

Answer:

No

Step-by-step explanation:

Summer starts in June and ends in August, so this is not valid.

Bam

6 0
3 years ago
The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder?
Radda [10]

Hello!

The cylinder shown has a lateral surface area of about 80 square inches. Which answer is closest to the height of the cylinder? Use 3.14 to approximate pi.

We have the following data:

Al (lateral surface area) = 80 in²

R (ratio) = 4 in

h (height) = ? (in inches)

Adopt : π ≈ 3.14

We apply the data to the formula, we have:

A_l = 2*\pi*R*h

80 = 2*3.14*4*h

80 = 25.12\:h

25.12\:h = 80

h = \dfrac{80}{25.12}

h = 3.18 \to \boxed{\boxed{h \approx 3.2\:in}}\:\:\:\:\:\:\bf\green{\checkmark}

Answer:

≈ 3.2 inches

________________________

\bf\green{I\:Hope\:this\:helps,\:greetings ...\:Dexteright02!}\:\:\ddot{\smile}

8 0
3 years ago
Read 2 more answers
Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c
nydimaria [60]

Answer:

We need a sample size of 564.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = \frac{81}{130} = 0.6231

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when M = 0.04

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}

\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}

n = 563.8

Rounding up

We need a sample size of 564.

4 0
3 years ago
Is y = -x + 5 non-linear or linear
Lubov Fominskaja [6]

Answer:

It's linear

Step-by-step explanation:

Linear equations have no exponents higher than a 1, which is the case for this equation cause if there's no exponent it's cause it's just a 1. Non-linear has a exponent higher than a 1, ex. x^{2}

3 0
2 years ago
Please help!! <br>if you can explain if not that is fine.<br>​
Scorpion4ik [409]

Answer:

  • The graph of y > 3x − 4 has shading above a dashed line.
  • The graphs of the inequalities will intersect.

6 0
3 years ago
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