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gtnhenbr [62]
3 years ago
14

Find the slope and y intercept for the equation below is that correct for 1 and 2?

Mathematics
1 answer:
Ket [755]3 years ago
3 0
1: slope = -2/3 , y intercept 4
2: slope = -3/5 , y intercept 2
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A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,00
Marianna [84]

Answer: a.) $50188 to $57812

Step-by-step explanation: <u>Confidence</u> <u>Interval</u> (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± z\frac{s}{\sqrt{n} }

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± 1.96.\frac{6000}{\sqrt{12} }

54,000 ± 1.96\frac{6000}{3.464}

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

<u>With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or </u><u>from 50188 to 57812$.</u>

<u />

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

4 0
2 years ago
1) A population of genetically modified
TiliK225 [7]
This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.

So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.

There will be 40 mosquitoes after ten months.
7 0
3 years ago
he pulse rates of 179 randomly selected adult males vary from a low of 43 bpm to a high of 115 bpm. Find the minimum sample size
malfutka [58]

Answer:

97

Step-by-step explanation:

Given that:

Low = 43bpm

High = 115 bpm

Error = 3

α = 90%

To find the range estimate :

Standard destviation = (high - low) / 4

Standard deviation = (115 - 43) / 4

Standard deviation = 72/4 = 18

The sample size,(n) :

n = [(Zα/2 * sd)/E] ²

2 - tail = (Zα/2) = 1.645

[(Zα/2 * sd)/E] ² = [(1.645 * 18) / 3]² = (29.61/3)²

= 97.41

Sample size = 97

5 0
3 years ago
determine the volume of a rectangular container van with length,width, and height of 52m,13 m and 20m respectively.
icang [17]

\huge \boxed{ \green{ANSWER}}

\underline{v = 13 \: 520 \:  {m}^{3}  }

\huge \boxed{ \red{SOLUTION}}

v = lwh \\  = (52m) \: (13m) \: (20m) \\  \implies \underline{v = \: 13 \: 520 \:  {m}^{3}  }

<h3>#CarryOnLearning</h3>

\mathfrak{WatanabeHaruto}

6 0
2 years ago
∠AZB and ∠CZB are supplementary. The m∠AZB = 2x - 4 and m∠CZB = 8x + 4. What is the measure of each angle?
g100num [7]
The answer is A because when you add the angles to get they equal 180. Then just solve for x.

The drawing isn't to scale

7 0
3 years ago
Read 2 more answers
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