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kompoz [17]
4 years ago
6

4x + 16 less than or equal to 18

Mathematics
2 answers:
KengaRu [80]4 years ago
3 0
4x+16 = 18
4x = 18-16
x =2/4
x = 1/2
Jlenok [28]4 years ago
3 0

Answer:

x≤1/2

Step-by-step explanation:

4x+16 ≤18

Subtract 16 from each side

4x+16-16 ≤18-16

4x≤2

Divide by 4

4x/4 ≤2/4

x≤1/2

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Marcie wants to enclose her yard with the fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for
jeyben [28]
If rectangle and triangle are attached ....so
area of rectangle will be L×W
and area of triangle will be .5 × b×h

as we know both are attached then base would be equal to width
..so b=W !!!
5 0
3 years ago
A study of pollutants showed that certain industrial emissions should not exceed 2.3 parts per million. You believe a particular
Musya8 [376]

Answer:

t=\frac{3.3-2.3}{\frac{0.4}{\sqrt{9}}}=7.5    

The degrees of freedom are given by:

df=n-1=9-1=8  

And the p value would be:

p_v =P(t_{(8)}>7.5)=0.0000346  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 2.3 ppm the safe limit

Step-by-step explanation:

Information provided

\bar X=3.3 represent the sample mean in ppm

s=0.4 represent the sample standard deviation

n=9 sample size  

\mu_o =2.3 represent the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic  

p_v represent the p value

System of hypothesis

We want to verify if the true mean is higher than 2,3 ppm, the system of hypothesis would be:  

Null hypothesis:\mu \leq 2.3  

Alternative hypothesis:\mu > 2.3  

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{3.3-2.3}{\frac{0.4}{\sqrt{9}}}=7.5    

The degrees of freedom are given by:

df=n-1=9-1=8  

And the p value would be:

p_v =P(t_{(8)}>7.5)=0.0000346  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 2.3 ppm the safe limit

6 0
4 years ago
Which expression is equivalent to (5^3)^-2?
s2008m [1.1K]

Answer:

The Last One

Step-by-step explanation:

1/5 x 5 x 5 x 5 x 5 x 5

Because:

5 x 5 = 25

25 x 5 = 125

125 x 5 = 625

625 x 5 = 3125

3125 x 5 = 15625

And (5^3)^-2 is equal to 1/15625

Hope This Helps! :)

6 0
3 years ago
Need help, pls and ty❤️❤️
cluponka [151]

Option D:

d=\sqrt{(19+1)^2+(20+1)^2}

Explanation:

Given data:

The points are (–1, –1) and (19, 20).

<u>To find the distance between two points:</u>

x_1=-1, y_1=-1, x_2=19, y_2=20

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

d=\sqrt{(19-(-1))^2+(20-(-1))^2}

d=\sqrt{(19+1)^2+(20+1)^2}

Hence option D is the correct answer.

7 0
4 years ago
If a point, Ray, line segment, or plane intersects a segment at its midpoint, then it______ the segment
frez [133]

Answer: If A Point, Ray, Line Segment, or Plane intersects a segment at its midpoint, then it <u><em>Bisects </em></u>the segment.

Step-by-step explanation: A segment, ray, line, or plane that is perpendicular to a segment at its midpoint is called a <u><em>perpendicular bisector</em></u>. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. Point is equidistant from two points if its distance from each point is the same.

<u><em /></u>

7 0
4 years ago
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