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yawa3891 [41]
2 years ago
14

Perry currently has $180 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days w

ill they have the same amount of money?
Mathematics
1 answer:
Elan Coil [88]2 years ago
4 0

12.857 days

Step-by-step explanation:

Since the number of days is passing the same for both Nick and Perry we can assign the unknown value (no. Of days) the same denotation of x

Therefore;

180 – 6x = 0 + 8x

180 = 8x + 6x

180 = 14x

X = 12.857

Learn More:

For more on calculating unknown values check out;

brainly.com/question/10578482

#LearnWithBrainly

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One can convert temperature from Fahrenheit into Newton using the formula N=11/60(F-32) . What is the temperature in Fahrenheit
notsponge [240]
N=11/60*(F-32). Multiply both sides by 60/11, so that 60/11*N=F-32. Add both sides by 32, F=60/11*N+32.
5 0
1 year ago
A sumo wrestling ring is circular and has a circumference of 4.6\pi \text{ meters}4.6π meters4, point, 6, pi, start text, space,
Zina [86]

Answer:

The area of the wrestling ring is 5.29π m^2

Step-by-step explanation:

A sumo wrestling ring is circular and has a circumference of 4.6π meters.

To find its area, we need to first find its radius.

The circumference of a circle is given as:

C = 2 \pi r

where r = radius

Hence, the radius of the ring will be:

4.6\pi = 2\pi r\\r = 4.6 /2 = 2.3m

The radius of the ring is 2.3 m.

The area of a circle is given as:

A = \pi r^2

Hence, the area of the wrestling ring (in terms of π) will be:

A = \pi * 2.3^2

A = 5.29\pi m^2

The area of the wrestling ring is 5.29π m^2

7 0
2 years ago
It has been suggested that night shift-workers show more variability in their output levels than day workers. Below, you are giv
bonufazy [111]

Answer:

Null hypotheses = H₀ = σ₁² ≤ σ₂²

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic = 1.9

p-value = 0.206

Since the p-value is greater than α therefore, we cannot reject the null hypothesis.

So we can conclude that the night shift workers don't show more variability in their output levels than day workers.

Step-by-step explanation:

Let σ₁² denotes the variance of night shift-workers

Let σ₂² denotes the variance of day shift-workers

State the null and alternative hypotheses:

The null hypothesis assumes that the variance of night shift-workers is equal to or less than day-shift workers.

Null hypotheses = H₀ = σ₁² ≤ σ₂²

The alternate hypothesis assumes that the variance of night shift-workers is more than day-shift workers.

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic:

The test statistic or also called F-value is calculated using

Test statistic = Larger sample variance/Smaller sample variance

The larger sample variance is σ₁² = 38

The smaller sample variance is σ₂² = 20

Test statistic = σ₁²/σ₂²

Test statistic = 38/20

Test statistic = 1.9

p-value:

The degree of freedom corresponding to night shift workers is given by

df₁ = n - 1

df₁ = 9 - 1

df₁ = 8

The degree of freedom corresponding to day shift workers is given by

df₂ = n - 1

df₂ = 8 - 1

df₂ = 7

We can find out the p-value using F-table or by using Excel.

Using Excel to find out the p-value,

p-value = FDIST(F-value, df₁, df₂)

p-value = FDIST(1.9, 8, 7)

p-value = 0.206

Conclusion:

p-value > α    

0.206 > 0.05   ( α = 1 - 0.95 = 0.05)

Since the p-value is greater than α therefore, we cannot reject the null hypothesis corresponding to a confidence level of 95%

So we can conclude that the night shift workers don't show more variability in their output levels than day workers.

3 0
2 years ago
A lumber yard has a scrap sheet of plywood that is 23 3/4 inches by 41 1/5 inches long what is the area of the plywood?
Sholpan [36]

Answer:

978\frac{1}{2}\text{ inches}^2.

Step-by-step explanation:

We have been given that a lumber yard has a scrap sheet of plywood that is 23 3/4 inches by 41 1/5 inches long.

Since plywood is in shape of rectangle, so to find the area of plywood we will multiply the length of plywood by its width.

\text{Area of rectangle}=\text{Length*Width}

\text{Area of plywood}=23\frac{3}{4}\text{ inches}\times 41\frac{1}{5}\text{ inches}

Let us convert our mixed fractions into improper fractions.

\text{Area of plywood}=\frac{95}{4}\text{ inches}\times \frac{206}{5}\text{ inches}

\text{Area of plywood}=\frac{95}{4}\times \frac{206}{5}\text{ inches}\times \text{inches}

Upon cancelling out greatest common factors we will get,

\text{Area of plywood}=\frac{19}{2}\times 103\text{ inches}^2

\text{Area of plywood}=\frac{1957}{2}\text{ inches}^2  

Now let us convert our answer into mixed fraction.

\text{Area of plywood}=978\frac{1}{2}\text{ inches}^2  

Therefore, the area of plywood is 978\frac{1}{2}\text{ inches}^2.

8 0
2 years ago
A sofa is on sale for $ 364.00 , which is 35 % of the original price. What is the original price?
inn [45]

Answer:

$1040

Step-by-step explanation:

Let X be the original price.

35% of X = 364

35/100 × X = 364

X = 364 × 100/35

X = 1040

8 0
2 years ago
Read 2 more answers
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