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Romashka [77]
3 years ago
8

1/5(25x-75)+9=1/4(8x+36)

Mathematics
1 answer:
Licemer1 [7]3 years ago
8 0
1/5 x 25X - 1/5 x 75 + 9= 1/4 x 8X + 1/4 x 36
5X - 15 + 9 = 2X + 9
5X - 2X = 9 - 9 + 15
3X = 15
X= 15/3 = 5
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OverLord2011 [107]

Answer: (0.9460\ ,\ 0.9500)

Step-by-step explanation:

Given : Population mean : \mu=0.9480

Standard deviation : \sigma=0.0060

Sample size : n=35

Significance level : \alpha=1-0.95=0.05

Critical value = z_{\alpha/2}=\pm1.96

The confidence interval for sample mean is given by :-

\mu\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

i.e. 0.9480\pm (1.96)\dfrac{0.0060}{\sqrt{35}}

\approx0.9480\pm0.0020=(0.9480-0.0020\ ,\ 0.9480+0.0020)\\\\=(0.9460\ ,\ 0.9500)

Hence, the required interval=  (0.9460\ ,\ 0.9500)

4 0
3 years ago
Which of the following statements are true about the graph below? Select all that apply
madreJ [45]
I don’t know because it wouldn’t pop up
8 0
2 years ago
What would this be how would I do it? Please help HELP HELP ASAP HELP
Svetllana [295]

For the given triangle, x = 8.6 cm.

Step-by-step explanation:

Step 1:

In the triangle, the given angle is 35°, the hypotenuse side's length is 15 cm. Assume the opposite side's length is x cm. To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.

sin\theta = \frac{oppositeside}{hypotenuse} .

Step 2:

The opposite side's length = x cm.

The hypotenuse side's length = 15 cm.

sin\theta = \frac{oppositeside}{hypotenuse}, sin35=0.5735, sin 35 = \frac{x}{15} ,

0.5299=\frac{x}{15}, x = 0.5735(15) =  8.6025

So x of the given triangle measures 8.6025 cm, rounding this off, we get 8.6 cm.

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