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Evgesh-ka [11]
3 years ago
9

Help on this one please I just want to see if I’m right

Mathematics
1 answer:
kupik [55]3 years ago
4 0

Answer:

Oslo(coldest),Berlin,Glasgow,London,Nice

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ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately no
dimaraw [331]

Answer: 5.37

Step-by-step explanation:

Let x =  ACT scores.

Given: ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately normal.

i.e. P(X>28)=0.09   (i)

Now,

P(X>28)=P(\dfrac{X-\mu}{\sigma}>\dfrac{28-20.8}{\sigma})\\\\= P(z>\dfrac{7.2}{\sigma})\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]    (ii)

One -tailed z value for p-value of 0.09 =1.3408 [By z-table]

From (i) and (ii)

\dfrac{7.2}{\sigma}=1.3408\\\\\Rightarrow\ \sigma=\dfrac{7.2}{1.3408}\\\\\Rightarrow\ \sigma=5.37

Hence, the standard deviation = 5.37

5 0
3 years ago
Graph the system of equations. {x−y=64x+y=4
Fantom [35]
X-y=6 Equation 1
x+y=4 Equation 2

To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
When y=0
x=6  Point is (6,0)
When x=0
-y=6
y=-6  Point is (0,-6)

Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
y=4  Point is (0,4)
When y=0
x=4 Point is (4,0)

Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.

Answer: (5,-1)

5 0
3 years ago
2(x+1)+3x=37 *what is x??​
irina1246 [14]

2(x+1)+3x=37

simplifythe left side:

2x +2 +3x = 37

Combine like terms:

5x +2 = 37

Subtract 2 from both sides:

5x = 35

Divide both sides by 5:

x = 7

5 0
3 years ago
Read 2 more answers
While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it
son4ous [18]
To start, find your equation, n=3000(.5)^t, n being your number of bacteria and t being your time. Now plug in 375 for n and solve for t, 375=3000(.5)^t, .125=.5^t, t=log_{.5} .125=3. This means your answer is 3 minutes. To check it, plug it into your equation. n=3000(.5)^t=3000(.125)=375
5 0
3 years ago
Find the vertex of an angle of an isosceles triangle if one base angle is 8 less than half the vertex?
skad [1K]
Vertex angle = x
1 base angle = 1/2x - 8

180-x = (1/2x-8)x2
180-x = x-16
196-x = x
196 = 2x
x=98

If you want explanation please ask me .
8 0
2 years ago
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