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3 years ago

X + 10 = 20 . Solve for x.

Mathematics

2 answers:

balandron [24]3 years ago

8 0

Answer:

x = 10

Step-by-step explanation:

x + 10 = 20

=> x = 20 - 10

=> x = 10

valkas [14]3 years ago

8 0

X = 10 cause x plus ten then u subtract 20 and get 10

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Convert 0.0001 to a power of 10.

Damm [24]

10^-4 is the answer

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3 years ago

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Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum

const2013 [10]

Answer: The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

$S=\sum_{i=1}^{\infty}15(4)^{i-1}.$

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, $\sum_{i=1}^{\infty}a_i$ is an infinite series, with complex coefficients $a_i$ and we consider the following limit:

$L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.$

Then, the series will be convergent if L < 1 and divergent if L > 1.

For the given series, we have

$a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.$

So, the limit is given by

$L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.$

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0

4 years ago

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What is the amount of liquid a water bottle bottle holds??

harkovskaia [24]

If you look on the water bottle paper (It depends) you will find that it holds one of the amounts from 16.9 to 20 oz.

Hoped I helped!

8 0

3 years ago

I bought a car of 650,000 and sold it for 520,000. Find the lost Percent ?

Tom [10]

Answer:

20% decrease in value.

Step-by-step explanation:

Do 650,000 divided by 100 to find what 1% of the original price is:

650,000 divided by 100 = 6,500

To find what percentage of the original price 520,000 is, we divide it by 1% of the original cost (6,500):

520,000 divided by 6,500 = 80 (percent)

So if 520,000 is 80% of 650,000 the car has decreased in value by 20%.

7 0

3 years ago

A survey of 2,254 American adults indicates that 17% of cell phone owners browse the internet exclusively on their phone rather

GrogVix [38]

Answer:

We conclude that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

Step-by-step explanation:

We are given that a survey of 2,254 American adults indicates that 17% of cell phone owners browse the internet exclusively on their phone rather than a computer or other device. According to an online article, a report from a mobile research company indicates that 38 percent of Chinese mobile web users only access the internet through their cell phones.

We have to conduct a hypothesis test to determine if these data provide strong evidence that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

Let p = proportion of Americans who only use their cell phones to access the internet

SO, Null Hypothesis, $H_0$ : p = 38% {means that the proportion of Americans who only use their cell phones to access the internet is same as that of Chinese proportion of 38%}

Alternate Hypothesis, $H_a$ : p $\neq$ 38% {means that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = proportion of cell phone owners who browse the internet

exclusively on their phone in a survey of 2,254 adults = 17%

n = sample of adults = 2,254

So, test statistics = $\frac{0.17-0.38}{\sqrt{\frac{0.17(1- 0.17)}{2,254} } }$

= -26.542

Since in the question we are not given with the significance level so we assume it to be 5%. So, at 0.05 level of significance, the z table gives critical values between -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie in between the critical values of z so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

3 0

4 years ago