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4 years ago

What is the answer to this question. 7/8 - (-4/8) = ???

Mathematics

1 answer:

photoshop1234 [79]4 years ago

5 0

Answer:

Decimal Form: 1.375 Fraction Form: 1 3/8 or 11/8

Step-by-step explanation:

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The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is

Hatshy [7]

Answer:

A. Normal

B. 30.1, 32.9

C. 95, 5

Step-by-step explanation:

A. The sampling distribution follows a normal distribution

Given that the sample size is large, we have that the sample distribution follows a normal distribution according to the central limit theorem

B. The 95% confidence interval is given as follows;

$CI=\bar{x}\pm z \times \dfrac{s}{\sqrt{n}}$

The number of residents in the study, n = 120 residents

The sample mean, $\overline x$ = 31.5 pounds

The standard deviation, s = 7.8 pounds

The z-value for 95% confidence level, z = 1.96

Therefore, we get;

C.I. = 31.5 ± 1.96 × 7.8/√(120)

The 95% C.I. ≈ 30.1 ≤ $\overline x$ ≤ 32.9

Therefore, we have that with 95% confidence, the population mean number of pounds per person per week is between 30.1 and 32.9

C. Therefore, according to the central limit theorem, about 95 percent of the groups of 120 will contain the true population mean number of pounds of trash generated per person per week and about 5 percent will not contain the true population mean number of pounds of trash generated per person per week.

8 0

3 years ago

-Solve the proportion (round to the nearest tenth). 1910=x12

zysi [14]

The value of x in the proportion is 15.8.

1910 = x12

1910 = 12x

divide both sides by 12

1910 / 12 = 12x / 12

x = 15.8333333333

x ≈ 15.8

5 0

3 years ago

An employees hourly raise went up from $10 per hour to $12 per hour. What is the rate of increase?

Anastaziya [24]

20% because:

rate of Increase = ( final - initial ) / initial * 100

rate of increase = ( 12 - 10 ) / 10 * 100

rate of Increase = 2 / 10 * 100

rate of Increase = 20

5 0

3 years ago

The path of a projectile launched from a 16-ft-tall tower is modeled by the equation y = −16t2 + 64t +16. What is the maximum he

Aleks04 [339]

Answer:

Step-by-step explanation:

Given the path of a projectile launched from a 16-ft-tall tower modeled by the equation y = −16t^2 + 64t +16

h is the maximum height reached

t is in seconds

The velocity of the projectile at its maximum height is zero;

velocity v = dy/dt

v = -32t + 64

Since v = 0 at maximum height

0 = -32t + 64

32t = 64

t = 2secs

Substitute t = 2secs into the equation of the height to get the maximum height.

y = −16t^2 + 64t +16

at t = 2secs

y = −16(2)^2 + 64(2) +16

y = -64 + 128 + 16

y = 64+16

y = 80 feet

Hence the maximum height, in feet, reached by the projectile is 80 feet

5 0

3 years ago

3. Find the least number which must be added to the following numbers to make them a perfect square. i) 37460 ii) 506900 iii) 49

EastWind [94]

Answer:

i). 211.

ii). 711.

iii). 31

iv). 131.

Step-by-step explanation:

i). √37460 = 193.545

Then take the whole number from the decimal:

193² = 193 × 193 = 37249

You subtract the answer from the main number:

37460 - 37249 = 211

211 is the answer.

ii). √506900 = 711.969

711² = 711 × 711 = 505521

506900 - 505521 = 1379

1379 is the answer.

iii). √4931 = 70.221

70² = 70 × 70 = 4900

4931 - 4900 = 31

31 is the answer.

iv). √5607 = 74.879

74² = 74 × 74 = 5476

5607 - 5476 = 131

131 is the answer.

Hope you understand ◉‿◉ (✷‿✷) (◠‿◕)

8 0

3 years ago