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3 years ago

Is 0.1234 rational or irrational

Mathematics

2 answers:

cupoosta [38]3 years ago

5 0

Its rational because this number is terminating.

pantera1 [17]3 years ago

5 0

Answer:

Rational

Step-by-step explanation:

A rational number is any number that can be expressed as a ratio, or fraction.

0.1234 as a fraction is 1234/10000 and as a ratio it's the same

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Two different red-light-running signal systems were installed at various intersection locations with the goal of reducing angle-

nekit [7.7K]

Complete Question

Two different red-light-running signal systems were installed at various intersection locations with the goal of reducing angle-type crashes. Red-Light-Running System A resulted in 60% angle crashes over a sample of 720 total crashes. Red-Light-Running System B resulted in 52% angle crashes over a sample of 680 total crashes. Was there a difference between the proportions of angle crashes between the two red-light-running systems installed? Use an alpha of 0.10.

Answer:

Yes there is a difference between the proportions of angle crashes between the two red-light-running systems installed

Step-by-step explanation:

From the question we are told that

The first sample proportion is $\r p_ 1 = 0.60$

The second sample proportion is $p_2 = 0.52$

The first sample size is $n_1 = 720$

The second sample size is $n_2 = 680$

The level of significance is $\alpha = 0.10$

The null hypothesis is $H_o : \r p_1 - \r p_2 = 0$

The alternative hypothesis is $H_a : \r p_1 - \r p_2 \ne 0$

Generally the pooled proportion is mathematically represented as

$p_p = \frac{(\r p_1 * n_1 ) + (\r p_2 * n_2)}{n_1 + n_2 }$

=> $p_p = \frac{(0.6 * 720) + ( 0.52 * 680)}{720 +680 }$

=> $p_p = 0.56$

Generally the test statistics is evaluated as

$t = \frac{ ( \r p_1 - \r p_2 ) - 0 }{ \sqrt{ (p_p (1- p_p) * [ \frac{1}{n_1 } + \frac{1}{n_2 } ])} }$

$t = \frac{ (0.60 - 0.52 ) - 0 }{ \sqrt{ (0.56 (1- 0.56) * [ \frac{1}{720} + \frac{1}{680 } ])} }$

$t = 3.0$

The p-value obtained from the z-table is

$p-value = P(Z> t ) = 0.0013499$

From the question we see that $p-value < \alpha$ so the null hypothesis is rejected

Hence we can conclude that there is a difference between the proportions

3 0

3 years ago

14-12x+39x-18x=256-60x-657x

emmasim [6.3K]

Answer:

$\boxed{\bold{x=\frac{1}{3}}}$

Step-by-step explanation:

Combine Similar Elements: $\bold{-12x+39x-18x=9x}$

$\bold{14+9x=256-60x-657x}$

Combine Similar Elements: $\bold{-60x-657x=-717x}$

$\bold{14+9x=256-717x}$

Subtract 14 From Both Sides

$\bold{14+9x-14=256-717x-14}$

Simplify

$\bold{9x=-717x+242}$

Add $\bold{717x}$ To Both Sides

$\bold{9x+717x=-717x+242+717x}$

Simplify

$\bold{726x=242}$

Divide Both Sides By $\bold{726}$

$\bold{\frac{726x}{726}=\frac{242}{726}}$

Simplify

$\bold{x=\frac{1}{3}}$

4 0

3 years ago

Please help!! Having a hard time with this! Bob can buy individual songs for $1.00 to download, or an entire album costs $10.00

____ [38]

Answer:

second one listed

Step-by-step explanation:

second one given--he can buy between 3 and 6 albums; and 0 to 30 songs

(if he were to buy exactly 3 albums, he could not buy more than 30 songs; which is why that portion of the graph is not shaded)

(shaded = possible)

hope this helps!

8 0

2 years ago

Assuming A = dominant allele that produces red-eye, a = recessive allele that produces sepia eye, B = dominant allele that produ

AURORKA [14]

Answer:

25% of probabilities

Step-by-step explanation:

A= red eye

a=sepia eye

B=longwing

b=apterous

AB aB

Ab AABb AaBb

ab AaBb aaBb

AABb=25%

AaBb=25%

Ab= 25%

aaBb=25%

aaBb= sepia eye with longwig

4 0

3 years ago

How do you write seven hundred thirty one in standard form

Katarina [22]

This is the standard for of seven hundred (700) thirty (30) one (1) :
Answer: 731

6 0

2 years ago

Read 2 more answers