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Greeley [361]
3 years ago
6

X + (m + 2)y - z = 0 ^ (m + 2)x + y - z = 1 ^ x + y - (m + 2)z = m + 3​

Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0
What does the sign ‘’ ^ ‘’ mean ? I am trying to solve this but I don’t understand that sign
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What is the slop of AB?????????????
Korolek [52]

Answer:

3 I am pretty sure

Step-by-step explanation:

5 0
3 years ago
Sam is hired for a 20-day period. On days that he works, he earns $60. For each day that he does not work, $30 is subtracted fro
Alenkinab [10]

Answer:

He did not work for 6 days

Step-by-step explanation:

Sam is hired for a 20-day period.

Let x be the no. of days he did not work

So, No. of days he worked = 20-x

he earns per working day = $60

So, he earns for (20-x) days = 60(20-x)

For each day that he does not work, $30 is subtracted from his earnings.

So, Amount deducted for x days = 30x

So, His earning for 20 days =60(20-x)-30x

We are given that At the end of the 20-day period, he received $660

So, 60(20-x)-30x=660

1200-60x-30x=660

1200-90x=660

1200-660=90x

540=90x

\frac{540}{90}=x

6=x

So, he did not work for 6 days

So, Option C is true

5 0
3 years ago
Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam
Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:  

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.  

The confidence interval is given by

CI = \bar{x} \pm MoE\\

Where \bar{x} is the mean and MoE is the margin of error given by

MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\

Where σ is the standard deviation, n is the sample size and z_{\alpha/2} is the z-score corresponding to 95% confidence level.

z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96

MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\

Finally, the confidence interval is

CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

3 0
3 years ago
NEED HELP ASAP!!!!!!!
sertanlavr [38]
ANSWER: x > -6
1. subtract 12 from each side
2. divide by -3 which will make the sign flip
8 0
3 years ago
Casey ordered 4 pizzas.Each one was cut into 6 equal slices.Her father ate 3 slices.What fraction of the pizza was left?Write th
Fittoniya [83]
Total slices=4*6=24. Take away 3 slices leaving 21=18+3=3 pizzas and ½ a pizza, 3½.
3 0
3 years ago
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