Write the equation in Standard Form.<br> y+1 =

Royce drove 42 miles in 60 minutes. at this rate, how far will royce travel in 1 minute

luda_lava [24]

0.7 miles

Explanation:
42/60 = 0.7

4 0

3 years ago

Only some of the students in the Level 1 swim lessons move up to Level 2 at the end of

larisa86 [58]

The list that orders the fractions from least to greatest is:

$\frac{7}{12}, \frac{2}{3}, \frac{17}{24}, \frac{3}{4}$

<h3>Ordering of fractions</h3>

To order the fractions from least to greatest, we have to realize their conversion to decimal.

To realize the conversion, the numerator is divided by the denominator, as ordering decimal numbers are easier than fractions.

Hence, the fractions converted to decimal are:

$\frac{2}{3} = 0.6667$ .

$\frac{7}{12} = 0.5833$ .

$\frac{17}{24} = 0.7083$

$\frac{3}{4} = 0.75$

Hence, the list from least to greatest is, according to the results of the conversions:

$\frac{7}{12}, \frac{2}{3}, \frac{17}{24}, \frac{3}{4}$

To learn more about ordering of fractions, you can take a look at brainly.com/question/26139168

7 0

3 years ago

Rhombus with diagonal lengths 9 ft and 4 ft. ( what's the area ? )

Alexeev081 [22]

Answer:

18

Step-by-step explanation:

4 0

3 years ago

The world brand of rivet placement is 11209 rivets in 9 hours and belongs to J. Mair of Ireland. If another person places 11209

Ilya [14]

Answer:

4.74 hours

Step-by-step explanation:

Given that both person have to place same number of rivets that is

11209

first person take 9 hours to complete the work

hence 1 hour work of 1st person is $\frac{1}{9}$ of total work

second person takes 10 hours to complete the same work

hence 1 hour work of 2nd person is $\frac{1}{10}$

Now if both work together then

1 hour work of both person = $\frac{1}{9} +\frac{1}{10}$ = $\frac{19}{90}$

thus working together they need $\frac{90}{19}$ hours = 4.74 hours to complete the whole work which is placing 11209 rivets

5 0

3 years ago

Life rating in Greece. Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1,000 randomly sa

elena-s [515]

Answer:

a

The population parameter of interest is the true proportion of Greek who are suffering

While the point estimate of this parameter is proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%

b

The condition is met

c

The 95% confidence interval is $0.223 < p < 0.277$

d

If the confidence level is increased which will in turn reduce the level of significance but increase the critical value( $Z_{\frac{\alpha }{2} }$ ) and this will increase the margin of error( deduced from the formula for margin of error i.e $E \ \alpha \ Z_{\frac{\alpha }{2} }$ ) which will make the confidence interval wider

e

Looking at the formula for margin of error if the we see that if the sample size is increased the margin of error will reduce making the confidence level narrower

Step-by-step explanation:

From the question we are told that

The sample size is n = 1000

The population proportion is $\r p = 0.25$

Considering question a

The population parameter of interest is the true proportion of Greek who are suffering

While the point estimate of this parameter is proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%

Considering question b

The condition for constructing a confidence interval is

$n * \r p > 5\ and \ n(1 - \r p ) >5$

So

$1000 * 0.25 > 5 \ and \ 1000 * (1-0.25 ) > 5$

$250 > 5 \ and \ 750> 5$

Hence the condition is met

Considering question c

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_\frac{ \alpha }{2} * \sqrt{ \frac{\r p (1 - \r p ) }{n} }$

substituting values

$E = 1.96 * \sqrt{ \frac{ 0.25 (1 - 0.25 ) }{ 1000} }$

$E = 0.027$

The 95% confidence interval is mathematically represented as

$\r p - E < p < \r p + E$

substituting values

$0.25 - 0.027 < p < 0.25 + 0.027$

substituting values

$0.223 < p < 0.277$

considering d

If the confidence level is increased which will in turn reduce the level of significance but increase the critical value( $Z_{\frac{\alpha }{2} }$ ) and this will increase the margin of error( deduced from the formula for margin of error i.e $E \ \alpha \ Z_{\frac{\alpha }{2} }$ ) which will make the confidence interval wider

considering e

Looking at the formula for margin of error if the we see that if the sample size is increased the margin of error will reduce making the confidence level narrower

5 0

3 years ago

Write the equation in Standard Form. y+1 = - 4 (x+4)