2 years ago

0.4(0.3x-1)=2+0.75xwhat does x equal?

Mathematics

1 answer:

NARA [144]2 years ago

8 0

I got that x equals -3.809523 (repeating)

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Public opinion in the large city of Bedrock is that 60 percent of the residents are in favor of increasing taxes to fund alterna

uysha [10]

Answer: 0.8461

Step-by-step explanation:

Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.

As per given , we have p=0.40

A random sample is taken with size : n= 400

Expecting sample proportion : $\hat{p}=\dfrac{150}{400}=0.375$

Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

$P(p>0.375)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})$

$=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]$

$=P(z>-1.02)=P(z-z)=P(Z$

$\approx0.8461$ [By z-table]

Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .

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3 years ago

The volume of a cube is 4,741.632 cubic millimeters . What is The length of each side of the cube

PSYCHO15rus [73]

Answer:

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Step-by-step explanation:

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2 years ago

A meteor crater is 3300 feet in diameter. Approximate the distance around the crater. Use 3.14 for pie.

Afina-wow [57]

circumference = diameter x PI