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aev [14]
2 years ago
15

Solve for x. 5x – 4 ≥ 12 OR 12x + 5 ≤ -4

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
4 0

Answer:

x≥16/5

Step-by-step explanation:

5x-4≥12

5x≥16

x≥16/5

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3x+18>8-x+7
2x+18>15
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6 0
3 years ago
a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sampl
kari74 [83]

Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

H0: μ ≥ 16

H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.

3 0
2 years ago
with Judy jogging north and Jackie jogging west (on straight roads). When Jackie is 1 mile farther fro m the intersection than J
miskamm [114]
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.

We convert the given information to equations, step by step.

Point 1: When Jackie is 1 mile farther from the intersection than Judy.

This means y is 1 mile more than x.

So,

y = 1 + x

Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection. 

Distance between is x+ y.

So, x+y is 2 miles more than y.

x+y = y + 2
⇒
x = 2

From point 1 we have:

y = 1 + x = 1+ 2 = 3

So,

Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
4 0
2 years ago
Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground. The height of th
olya-2409 [2.1K]

Answer:

THE HEIGHT OF THE KITE FROM THE GROUND=80mtr

Step-by-step explanation:

let H be the height of kite from ground

\sin\theta=\frac{height}{hypotenuse}

\sin\90=\frac{H}{80}

1=\frac{H}{80}

H=80meters

5 0
3 years ago
You start at (5,3) you move down 4 units and up 6 units. where do you end?
Anestetic [448]

You end up at the point (5, 5).

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