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NeX [460]
3 years ago
13

What is the fraction of 66.6%

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Answer:

333/500

Step-by-step explanation:

That's what it would be as a fraction.

You might be interested in
In tests of a computer component, it is found that the mean time between failures is 937 hours. A modification is made which is
VladimirAG [237]

Answer:

Null hypothesis is \mathbf {H_o: \mu > 937}

Alternative hypothesis is \mathbf {H_a: \mu < 937}

Test Statistics z = 2.65

CONCLUSION:

Since test statistics is greater than  critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.

P- value = 0.004025

Step-by-step explanation:

Given that:

Mean \overline x = 960 hours

Sample size n = 36

Mean population \mu = 937

Standard deviation \sigma = 52

Given that the mean  time between failures is 937 hours. The objective is to determine if the mean time between failures is greater than 937 hours

Null hypothesis is \mathbf {H_o: \mu > 937}

Alternative hypothesis is \mathbf {H_a: \mu < 937}

Degree of freedom = n-1

Degree of freedom = 36-1

Degree of freedom = 35

The level of significance ∝ = 0.01

SInce the degree of freedom is 35 and the level of significance ∝ = 0.01;

from t-table t(0.99,35), the critical value = 2.438

The test statistics is :

Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}

Z = \dfrac{960-937 }{\dfrac{52}{\sqrt{36}}}

Z = \dfrac{23}{8.66}

Z = 2.65

The decision rule is to reject null hypothesis   if  test statistics is greater than  critical value.

CONCLUSION:

Since test statistics is greater than  critical value; we reject the null hypothesis. Thus, there is sufficient evidence to support the claim that the modified components have a longer mean time between failures.

The P-value can be calculated as follows:

find P(z < - 2.65) from normal distribution tables

= 1 - P (z ≤ 2.65)

= 1 - 0.995975     (using the Excel Function: =NORMDIST(z))

= 0.004025

6 0
3 years ago
A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose i
Virty [35]

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m

7 0
3 years ago
Help pls (I need to make it 20 things so Im typing this)
Brrunno [24]

Answer:

8

Step-by-step explanation:

this 3 qub root of 512 is 8

6 0
2 years ago
On a coordinate plane, a line with a 90-degree angle crosses the y-axis at (0, 1), the x-axis at (1, 0), turns at (3, negative 2
lapo4ka [179]

Answer:

maximum value of y = 3

Step-by-step explanation:

line Starts at -4 , 0   & turns at - 1 , 3

Slope = (3 - 0)/(-1 -(-4)) = 3/3 = 1

y = x + c

=> 0 = - 4 + c => c = 4

=> y = x + 4

line after turning crosses the y-axis at (0, 2) and the x-axis at (2, 0)

slope of this line :  (0-2)/(2-0) = -1

y = - x + c

2 = 0 + c => c = 2

=> y = - x + 2

=> y = 2 - x

Values Drawn

x y

-4 0

-3 1

-2 2

-1 3

0 2

1 1

2 0

4 0
3 years ago
Read 2 more answers
6 (x+15) evaluate the expression for x=-4
Gala2k [10]
The answer would be 66.

6(-4 +15)
=
66
4 0
3 years ago
Read 2 more answers
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