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Serhud [2]
3 years ago
15

Inequality for 3x+1>x-1

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Answer:

x>-1

Step-by-step explanation:

solve this normally like a linear equation

3x + 1 >x-1

collect like terms

3x-x>-1-1

2x>-2

x>-2/2

x>-1

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What number is 40% of 720
pentagon [3]

Answer:

288

Step-by-step explanation:

Hope it helps :>

8 0
3 years ago
Read 2 more answers
A recent study at UGA (March 5, 2008) suggests that students with cell phones may take more risks than students that do not have
Ira Lisetskai [31]

Answer:

(a) -2.8

b) (1) Reject H0: p = 0.50 in favor of HA: p < 0.50; there is sufficient evidence to conclude that less than half of all UGA female students who, if they had a cell phone, would be willing to walk somewhere after dark that they would normally not go.

Step-by-step explanation:

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

H0: p = 0.50

This means that:

\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

In a random sample of 305 UGA female students, 128 responded that, if they had a cell phone, they would be willing to walk somewhere after dark that they would normally not go.

This means that n = 305, X = \frac{128}{305} = 0.4197

a) Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.4197 - 0.5}{\frac{0.5}{\sqrt{305}}}

z = -2.8

Pvalue:

We are testing the hypothesis that the proportion is less than 0.5, which means that the pvalue of the test is the pvalue of z = -2.81.

Looking at the z-table, z = -2.8 has a pvalue of 0.0026

(b) What is the correct conclusion for this hypothesis test at the 0.05 level of significance?

0.0026 < 0.05, which means that we reject the null hypothesis, that the proportion is 0.5, and accept the alternate hypothesis, that the proportion is less than 0.5, option (1).

6 0
3 years ago
(6n-6)(n-1)<br><br> simplify by multiplying
lora16 [44]
6n2 - 6n - 6n + 6
= 6n2 - 12n + 6
3 0
3 years ago
Isaac and Albert spot a hot air balloon flying at a low altitude. They decide to calculate its height by standing 400 feet apart
yarga [219]

Answer:

144 feet to nearest foot.

Step-by-step explanation:

Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet

So we have 2 right angled triangles and:

tan 62 = h/x

tan 48 = h / (400- x)         where h is the height of the balloon.

From the first equation x = h / tan 62 so plugging this into the second one:

tan 48 =  h /  ( 400 - h/tan 62)

h = 400 tan 48 - h tan 48 tan 62

h + h tan 48 tan 62 = 400 tan 48

h ( 1 + tan48 tan62) = 400 tan48

h = 400 tan 48 / (1 +  tan 48 tan 62)

= 143.8 feet.

4 0
2 years ago
Expand and simplify (x+5)(x-2)
lukranit [14]

Answer:

x² + 3x - 10

Step-by-step explanation:

Each factor in the second factor is multiplied by each term in the first factor, that is

x(x - 2) + 5(x - 2) ← distribute each parenthesis

= x² - 2x + 5x - 10 ← collect like terms

= x² + 3x - 10

7 0
3 years ago
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