Ask question

Ask question

All categories

2 years ago

14

Which statement best explains why this expression is equal to 86.21 86 21 ?

1 answer:

lana [24]2 years ago

5 0

Is there any more of the problem

You might be interested in

In the spring, the height of a vine was 30 inches. In the fall, the height of the vine was 120 inches. What was the percent of i

Ede4ka [16]

Wouldnt that be a 400% increase?

7 0

3 years ago

Read 2 more answers

In an election, a candidate got 82% votes. He won the beating his rival candidate by 576 votes. How many votes were polled?

Slav-nsk [51]

Answer:

900

Step-by-step explanation:

A candidate got 82%votes.

Loosing candidate get=(100-82)=18%

Difference between two votes.

=(82-18)%=64%

Let be the Total vote is=x.

64% of the total vote=576

$Or, 64 \%\times x= 576$

$Or, \frac{64}{100} \times x = 576$

$Or,x= \frac{576 \times 100}{64}$

$Or,x=900$

∴The total votes that were polled are 900.

8 0

2 years ago

Is anyone good with probability? I need help with Allyson’s and brittney’s solution.

garri49 [273]

Answer:

a) 80%

80/100 *100 = 80%

b) 10 %

Sorry not able to draw a venn diagram

smartphone 50

both 30

tablet 10

10 people 10/100 *100 = 10%

4 0

2 years ago

Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature ab

JulsSmile [24]

The answer would be 4 as it more than 40 degrees whoch will allow to it record

4 0

2 years ago

Read 2 more answers

The Municipal Transit Authority wants to know if, on weekdays, more passengers ride the northbound blue line train towards the c

Kitty [74]

Answer:

The 90% confidence interval $-49.8$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 < \mu_2$

The distribution test statistics is $t = -3.222$

The rejection region is p-value < $\alpha$

The decision rule is reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that there are more passengers riding the 8:30 train

The p-value is $p-value =0.000951$

Step-by-step explanation:

From the question we are told that

The first sample size $n_1 = 30$

The first sample mean is $\= x _1 = 323$

The first standard deviation is $s_1 = 41$

The second sample size is $n_2 = 45$

The second sample mean is $\=x_2 = 356$

The second standard deviation is $s_2 = 45$

given that the confidence level is 90% then the level of significance is mathematically represented as

$\alpha = (100 -90)\%$

$\alpha = 0.10$

Generally the critical value of $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the pooled variance is mathematically represented as

$s^2 = \frac{(n_1 - 1)s_1^2 + (n_2 -1)s_2^2 }{n_1 + n_2 -2}$

$s^2 = \frac{(30 -1)(41^2) + (45-1)45^2}{30+45 -2}$

$s^2 = 1888.34$

Generally the standard error is mathematically represented as

$SE = \sqrt{\frac{s^2}{n_1} + \frac{s^2}{n_2} }$

=> $SE = \sqrt{\frac{1888.34}{30} + \frac{1888.34}{45} }$

=> $SE = 10.24$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * SE$

$E = 1.645* 10.24$

$E = 16.85$

Generally the 90% confidence interval is mathematically represented as

$\=x_1 -\=x_2 -E < \mu_1 -\mu_2 < \=x_1 -\=x_2 +E$

$323 -356 -16.84$

$-49.8$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 < \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \=x_2 }{SE}$

=> $t = \frac{323-356}{10.24}$

=> $t = -3.222$

Generally the degree of freedom is mathematically represented as

$df = n_1+n_2 -2$

$df = 30 + 45 -2$

$df = 73$

The p-value is obtained from the student t distribution table at degree of freedom of 73 at 0.05 level of significance

The value is $p-value =0.000951$

Here the level of significance is $\alpha = 5\% = 0.05$

Given that the p-value < $\alpha$ then we reject the null hypothesis

Then the conclusion is

There is sufficient evidence to conclude that there are more passengers riding the 8:30 train

5 0

3 years ago