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2 years ago

Solve the inequality. 3≤7+g

Mathematics

2 answers:

motikmotik2 years ago

7 0

-4 is less than or equal to g

Hope this helps

Anastaziya [24]2 years ago

6 0

Answer:

g-4

Step-by-step explanation:

first subtract 7 from both sides

then you will get -4 $\leq$ g

which is the same as g $\geq$ -4

you just have to switch them

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2 years ago

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Igoryamba

Answer: x=6, y=20

Step-by-step explanation:

Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.

y=2y-20 [subtract both sides by 2y]

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2 years ago

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand

viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20\\H_A: \mu < 20$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

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2 years ago

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saveliy_v [14]

y <= x

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2 years ago

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Step-by-step explanation:

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2 years ago