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3 years ago

How many 5-digit numbers can be formed from the integers 1, 2, ... , 9 if no digit can appear more than twice?

1 answer:

6 0

5 digit number with no repeats
1st digit has 9 possibilities
2nd digit has 8 possibilities
3rd digit has 7 possibilities
4th digit has 6 possibilities
5th fight has 5 possibilities
Therefore the answer is:
9 x 8 x 7 x 6 x 5 = 72 x 210 = 15,120

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What is 4/5 x 3/4? Please help

V125BC [204]

Answer: 3/5

Step-by-step explanation:

Multiply both the numerator and the denominator together.

4/5 x 3/4 = 12/20

Then simplify.

12/20 = 3/5

3 0

3 years ago

The graph of an exponential function passes through the point (0,15) and (1,10). What is the equation of the exponential functio

Vilka [71]

Answer:

$y=15(\frac{2}{3})^x$

Step-by-step explanation:

we know that

The equation of a exponential function is of the form

$y=a(b^x)$

where

a is the initial value or y-intercept

b is the base of the exponential function

In this problem we have

$a=15$ ----> the y-intercept is given

substitute

$y=15(b^x)$

we have the other ordered pair (1,10)

substitute the value of x and the value of y and solve for b

$10=15(b^1)\\10=15b$

$b=\frac{10}{15}=\frac{2}{3}$

substitute

$y=15(\frac{2}{3})^x$

see the attached figure to better understand the problem

7 0

2 years ago

A certain change in a process for manufacture of component parts is being considered. Samples are taken using both the existing

Katyanochek1 [597]

Answer:

a) The confidence interval is $0.00\leq\pi_1-\pi_2\leq0.02$ .

Step-by-step explanation:

We have to calculate a confidence interval (CI) of a difference of proportions.

For the existing procedure, the proportion is:

$p_1=75/1500=0.05$

For the new procedure, the proportion is:

$p_2=80/2000=0.04$

To calculate the CI, we need to estimate the standard deviation

$s=\sqrt{\frac{p_1(1-p_1)}{n_1} +\frac{p_2(1-p_2)}{n_2} }\\\\s=\sqrt{\frac{0.05(1-0.05)}{1500} +\frac{0.04(1-0.04)}{2000} }=\sqrt{ 0.000032 + 0.000019 }=\sqrt{ 0.000051 }\\\\s=0.007$

For a 90% CI, the z-value is 1.64.

Then, the CI is:

$(p_1-p_2)-z*\sigma \leq\pi_1-\pi_2\leq(p_1-p_2)+z*\sigma \\\\(0.05-0.04)-1.64*0.007\leq\pi_1-\pi_2\leq(0.05-0.04)+1.64*0.007\\\\0.01-0.01\leq\pi_1-\pi_2\leq0.01+0.01\\\\0.00\leq\pi_1-\pi_2\leq0.02$

6 0

2 years ago

Solve for <1. <1 <1 = [?] <2 <4=123° 57°

aleksandr82 [10.1K]

Answer:

Angle 1=66

Step-by-step explanation:

Step 1, solve for angle 2

<2+123=180 degrees

Angle 2=57 degrees

Step 2, solve for angle 1

Since this is an isosceles triangle, to solve for angle 1, the equation is 2(57)+x=180

Angle 1=66 degrees

4 0

2 years ago

Read 2 more answers

State what additional information is required in order to know that the triangles are congruent

AleksandrR [38]

17 && 19 are both congruent.

5 0

2 years ago