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Paha777 [63]
3 years ago
15

A positive integer is 4 more than 12 times another. Their product is 5896. Find the two integers.

Mathematics
2 answers:
maksim [4K]3 years ago
8 0
X = integer one
y = integer 2

x = 12y + 4

x * y = 5896

Solve the system of equations
adell [148]3 years ago
6 0
X * y = 5896 so that should be one part
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A College Alcohol Study has interviewed random samples of students at four-year colleges. In the most recent study, 494 of 1000
Vinil7 [7]

Answer:

The 95% confidence interval for the difference between the proportion of women who drink alcohol and the proportion of men who drink alcohol is (-0.102, -0.014) or (-10.2%, -1.4%).

Step-by-step explanation:

We want to calculate the bounds of a 95% confidence interval of the difference between proportions.

For a 95% CI, the critical value for z is z=1.96.

The sample 1 (women), of size n1=1000 has a proportion of p1=0.494.

p_1=X_1/n_1=494/1000=0.494

The sample 2 (men), of size n2=1000 has a proportion of p2=0.552.

p_2=X_2/n_2=552/1000=0.552

The difference between proportions is (p1-p2)=-0.058.

p_d=p_1-p_2=0.494-0.552=-0.058

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{494+552}{1000+1000}=\dfrac{1046}{2000}=0.523

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.523*0.477}{1000}+\dfrac{0.523*0.477}{1000}}\\\\\\s_{p1-p2}=\sqrt{0.000249+0.000249}=\sqrt{0.000499}=0.022

Then, the margin of error is:

MOE=z \cdot s_{p1-p2}=1.96\cdot 0.022=0.0438

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.058-0.0438=-0.102\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.058+0.0438=-0.014

The 95% confidence interval for the difference between proportions is (-0.102, -0.014).

7 0
2 years ago
An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 6.34 cents per
kirill [66]

Answer:

y = 18.38 + 0.0634x

Step-by-step explanation:

Given,

Monthly base charge = $18.38,

Also, the cost of each kilowatt-hours = 6.34 cents = $ 0.0634

( 1 cents = 0.01 dollars ),

So, the cost of x kilowatt-hours = 0.0634x,

If y represents the total monthly charge ( in dollars ) for x kilowatt-hours,

Thus, the total monthly charge for x kilowatt-hours = base charge + cost of x kilowatt-hours,

⇒ y = 18.38 + 0.0634x

Which is the required equation.

8 0
3 years ago
Type the correct answer in the box. Use numerals instead of words.
stiks02 [169]

Answer:

78

Step-by-step explanation:

(-5)•(-5) + 3•21= 25+ 63= 78

7 0
3 years ago
I really don't get this please help
Fiesta28 [93]
21 3/16...as a decimal
the 21 is a whole number and goes to the left of the decimal....and the fraction 3/16 goes to the right of the decimal.
3/16 = 0.1875....now add ur 21 and u get 21.1875 inches wide

2 3/8....as a decimal
3/8 = 0.375....now put ur 2 in there and it becomes 2.375 inches thick

4 0
2 years ago
The dimensions of a rectangular prism can be expressed as width w,length w+4, and height 5-w.What is the approximate width (w) t
k0ka [10]

The solution is in the attachment

5 0
2 years ago
Read 2 more answers
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