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quester [9]
2 years ago
6

The Collins family just bought 4 crates of eggs, and each crate had 18 eggs. The family already had 9 eggs in their refrigerator

. How many eggs do they have now?
Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
3 0

Answer:

81 eggs

Step-by-step explanation:

4×18=72

plus the original 9

72+9=81

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Solve for x your answer must be simplified. -4+x<9
bezimeni [28]

Answer:

x<13

Step-by-step explanation:

To solve this, we want to have the isolate the variable x on the left side, by itself without a coefficient. All we have to do to do this is add 4 to both sides, cancelling out the -4 and getting x<13

8 0
2 years ago
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Assume that population mean is to be estimated from the sample described. Use the sample results to approximate the margin of er
Vikentia [17]

Answer:

ME=1.998 \frac{4}{\sqrt{64}}=0.999 \approx 1

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X =69 represent the sample mean for the sample  

\mu population mean

s=4.0 represent the sample standard deviation

n=64 represent the sample size  

Assuming the X follows a normal distribution

X \sim N(\mu, \sigma)

The sample mean \bar X have the following distribution:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

The margin of error for the sample mean is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Since we have the sample standard deviation we can estimate the margin of error like this:

ME=t_{\alpha/2}\frac{s}{\sqrt{n}}

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.95=0.05 and \alpha/2=0.025

We can find the degrees of freedom like this:

df=n-1=64-1=63

And we can find the critical value with the following code in excel for example: "=T.INV(0.025,63)" and we got:

t_{\alpha/2}=\pm 1.998

And the margin of error would be :

ME=1.998 \frac{4}{\sqrt{64}}=0.999 \approx 1

3 0
3 years ago
A car travels 120 miles at the speed of 48 miles per hour. Find the time taken for the journey using the formula d = rt.
AysviL [449]

Answer:

2 hours

Step-by-step explanation:

Car travels from A to B at 60 miles/hour. Time of travel = 120/60 = 2 hour. Average speed of round trip = (120+120)/(2+3) = 48 miles per hour.

5 0
2 years ago
156 divided by 12 equals?
Sergeu [11.5K]
156/12 = 12 * 13/12 = 13 :D
3 0
3 years ago
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Read each problem and decide what operation you
Vlada [557]

Answer:

b = 3.5 cm

Step-by-step explanation:

Given that,

The area of a rectangle, A = 14. sq cm

The length of one side, l = 4 cm

We need to find the length of another side. The formula for the area of a rectangle is given by :

A = lb

So,

14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm

So, the length of the other side is equal to 3.5 cm.

8 0
3 years ago
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