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NISA [10]
3 years ago
5

Need help asap for test

Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

a=4 and b=-1

Step-by-step explanation:

2(4)+3(-1)= 5

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Determine the point estimate of the population proportion, the margin of error
ahrayia [7]

Answer:

\hat p=0.645\\\\ME=0.233\\\\x=645 \ individuals

Step-by-step explanation:

-Given the boundaries as 0.412 and 0.878

-\hat p is the point estimate for the population proportion and is calculated as follows:

\hat p=\frac{Upper \ Bound+Lower \ Bound}{2}\\\\=\frac{0.878+0.412}{2}\\\\=0.645\\\\

#The margin of error, ME can be calculated for the confidence intervals using the formula:

ME=\frac{Upper \ Bound-Lower \ Bound}{2}\\\\=\frac{0.878-0.412}{2}\\\\=0.233

#The number of individuals in the sample is the product of the point estimate and population size:

\hat p=\frac{x}{n}\\\\x=\hat pn\\\\=0.645\times 1000\\\\=645

Hence, there are 645 individuals in the sample.

8 0
3 years ago
ULLIVLY/1/2/3/assessment
zvonat [6]
<h3>The worth after 4 years is $ 680.24</h3>

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = p(1+\frac{r}{n})^{nt}

Where,

A = the future value of the investment

P = the principal investment amount

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

n = 1 ( since interest is compounded annually)

p = 500

t = 4

r = 8 \% = \frac{8}{100} = 0.08

<em><u>Substituting the values we get,</u></em>

A = 500(1+ \frac{0.08}{1})^{1 \times 4}\\\\A = 500(1.08)^4\\\\A = 500 \times 1.36048896\\\\A = 680.24448 \approx 680.24

Thus the worth after 4 years is $ 680.24

3 0
3 years ago
Please help I don't understand i'm in the lowest class?
Anna71 [15]

Answer:

Step-by-step explanation:

6 0
2 years ago
What is the standard deviation of the following data set rounded to the nearest tenth? 56 ,78 ,123 , 34, 67, 91, 20
quester [9]

Answer:

The standard deviation of the following data set is 32.2

Step-by-step explanation:

step 1

Find the mean

we have

[56,78,123,34,67,9,20]

Sum the data and divided by the number of elements

[56+78+123+34+67+91+20]/7=469/7=67

step 2

For each number: subtract the Mean and square the result

[(56-67)^{2},(78-67)^{2},(123-67)^{2},(34-67)^{2},(67-67)^{2},(91-67)^{2},(20-67)^{2}]

[121,121,3,136,1,089,0,576,2,209]

step 3

Work out the mean of those squared differences

[121+121+3,136+1,089+0+576+2,209]/7=1,036

This value is called the "Variance"    

step 4

Take the square root of the variance

standard\ deviation=\sqrt{1,036}=32.2

6 0
3 years ago
A line passes the points (1,7) and (0,3)what is the equation in the slope intercept form ​
Katen [24]

Answer:

y = 4x+ 3

Step-by-step explanation:

3 0
3 years ago
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