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lesya [120]
3 years ago
13

Write an absolute value inequality for the graph below.use x for your variable.​

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

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When you round a number, what should you do with
shusha [124]

Answer:

In general, to round to a certain place value, look at the digit to the right of that place value and make a decision. Example: 5.1837 to the nearest hundredth would be 5.18 (round down since 3<5 ), but to the nearest thousandth, it is 5.184 (round up because 7≥5 ).

Step-by-step explanation:

4 0
3 years ago
Alicia buys a fish tank. The dimensions of the fish tank are 80 cm x 35cm x 40cm. Alicia fills the tank with water to 4/5 of the
Ira Lisetskai [31]

Answer:   89.6 kg of water

Step-by-step explanation:

Find the total volume of the tank:

(80cm)*(35cm)*(40cm) = 112,000 cm^3

4/5 of this would be 89,600 cm^3

Water has a mass of 1 gram/cm^3

(1 gram/cm^3)*(89,600 cm^3) = 89,600 g of water

(89,600 g)*(1 kg/1,000 g) = 89.6 kg of water

3 0
2 years ago
The gift shop is having a sale. your friend sells half her stock of keyrings every hour. she has 24 boxes at the start of the sa
Bingel [31]

To solve for the given problem above:

Let x be the number of boxes left after 3 hours

3 * ½ X = 24

3/2 X = 24

X = 24 * 2/3

X = 16

The correct answer is 16.

3 0
2 years ago
Read 2 more answers
-7 exponent 2 - x + 6x + x exponent 2
s2008m [1.1K]

Answer:

x²+5x-49

Step-by-step explanation:

-7² -x+6x+x²

combine like terms

-x+6x is 5x

simplify -7²  is -49

now rewrite the equation

x²+5x-49

5 0
3 years ago
Read 2 more answers
A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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:

n = 865, \pi = \frac{408}{865} = 0.4717

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.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0
3 years ago
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