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2 years ago

Which graph shows the solution set for Negative 4.4 greater-than-or-equal-to 1.6 x minus 3.6?

Mathematics

2 answers:

____ [38]2 years ago

8 0

Answer:

A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the right of the circle is shaded.

Step-by-step explanation:

-4.4 ≥ 1.6 x - 3.6

Solving for the value of x,

1.6 x ≤ -4.4 + 3.6

1.6 x ≤ - 0.8

Dividing 1.6 from both sides to know value of x

x ≤ - 0.5

natima [27]2 years ago

6 0

Answer:

-5 and less

Step-by-step explanation:

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The manager of a paint supply store wants to estimate the actual amount of paint contained in 1-gallon cans purchased from a na

lorasvet [3.4K]

Answer:

a. 95% confidence interval estimate for the population mean amount of paint included in a 1-gallon can is 0.998±0.0055

b. No, because a 1-gallon paint can containing exactly 1-gallon of paint lies within the 95% confidence interval.

c. Yes. The population amount of paint per can is assumed normally distributed, because confidence interval calculations assume normal distribution of the parameter.

d. 90% confidence interval is 0.998±0.0046. The answer in b. didn't change; 1-gallon paint can containing exactly 1-gallon of paint lies within the 90% confidence interval. The manager doesn't have a right to complain to the manufacturer.

Step-by-step explanation:

Confidence Interval can be calculated using M±ME where

M is the sample mean amount of paint per 1-gallon can (0.998 gallon)

ME is the margin of error from the mean

And margin of error (ME) can be calculated using the equation

ME= $\frac{z*s}{\sqrt{N} }$ where

z is the corresponding statistic in the 95% confidence level (1.96)

s is the sample standard deviation (0.02 gallon)

N is the sample size (50)

Then ME= $\frac{1.96*0.02}{\sqrt{50} }$ ≈0.0055

95% confidence interval is 0.998±0.0055

90% confidence interval can be calculated similary, only z statistic is 1.64.

ME= $\frac{1.64*0.02}{\sqrt{50} }$ ≈0.0046

90% confidence interval is 0.998±0.0046

8 0

2 years ago

A grocer has two kinds of tea, one selling for 80 cents per pound and the other selling for 60 cents per pound. How many pounds

ruslelena [56]

X*80+y*60= 50*74
x +y =50 | * ( -60)

80x + 60y= 50*74
-60x - 60y=-50*60
---------------------------
20x= 50*(74-60)=50*14
x=50*14/20=35 pounds of 80 cents tea
y=50-35=15 pounds of 60 cents tea

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2 years ago

Alyssa wants to know the gas mileage of her new car. She kept track of the number of miles she traveled and the number of gallon

Anna [14]

Answer:

Step-by-step explanation:

Since Alyssa wants to know her gas mileage, which is MILES PER GALLON, she will need to divide total miles by total gallons.

"per gallon" means per 1 unit of gallon, which we will get ONLY IF WE DIVIDE by TOTAL NUMBER OF GALLONS, hence we get "per unit of gallon".

So we need to divide 243.8 miles by 7.71 gallons to get Alyssa's gas mileage.

Answer choice D is right.

3 0

2 years ago

If 265 identical boxes, each containing 24 books weigh a total of 12,720 pounds, how much does each book weigh?

ivann1987 [24]

Each book ways 2 pounds

please like and rate

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2 years ago

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A hovercraft takes off from a platform. Its height (in meters), xxx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=

Ad libitum [116K]

the maximum height is the y-value of the vertex.

h(x) = -2x² + 20x + 48

a=-2, b=20, c=48

$x = \frac{-b}{2a} = \frac{-20}{2(-2)} = \frac{-20}{-4} = 5$

h(5) = -2(5)² + 20(5) + 48

= -50 + 100 + 48

= 50 + 48

= 98

Answer: 98 meters

8 0

2 years ago