There are 9 people in an office with 4 different phone lines. If all the lines begin to ring at once, how many groups of 4 people can answer these lines?

Answer:

[tex]8^{3(n-1)+1}[/tex]

Step-by-step explanation:

Answer:

Option B: Rotation

Step-by-step explanation:

The shape appears to have the same size, but it has been moved in a way that  is not reflection. Through the process of elimination, the answer is rotation.

Answer:

D. The y-intercept of the new graph would shift down 2 units.

Step-by-step explanation:

y = -9x + 3 has a y-intercept of 3 (0, 3).

y = -9x + 1 has a y-intercept of 1 (0, 1).

3 - 1 = 2

So, down two units.

Answer:

15x - 12

Step-by-step explanation:

3(5x-4)

We can find an equivalent expression by distributing the 3 to what's inside of the parenthesis (5x and -4)

3(5x-4)

* Distribute *

3 * 5x = 15x

3 * -4 = -12

An equivalent expression would be 15x -12

Answer:

See explanation

Step-by-step explanation:

Required

Effect of replacing [tex]f(x)[/tex] with [tex]f(x - h)[/tex]

f(x) is represented as: (x,y)

While

f(x - h) is represented as (x - h, y)

Notice the difference in both is that, the x value in f(x - h) is reduced by a constant h while the y value remain unchanged.

This means that the graph of f(x) will shift horizontally (i.e. along the x-axis) to the left by h units

Answer:

Step-by-step explanation:

The distance between trains increases by 65+85 = 150 mph.

450 miles × (1 hour)/(150 miles) = 3 hours

Answer:

0.3209

in case you dont know  A z-score tells you if the distribution it comes from is normal.

Step-by-step explanation:

Answer:

(1) Ordinal

(2) Such data should not be used for calculations such as an average.

Step-by-step explanation:

Given

[tex]1 \to Low[/tex]

[tex]2 \to Medium[/tex]

[tex]3 \to High[/tex]

[tex]Average = 1.3[/tex]

Solving (a): The level of measurement

When observations are presented in ranks such as:

[tex]1 \to Low[/tex]

[tex]2 \to Medium[/tex]

[tex]3 \to High[/tex]

The level of measurement of such observation is ordinal

Solving (b): What is wrong with the computation?

Ordinal level of measurement are not numerical values whose average can be calculated because they are used as ranks.

Hence, (a) is correct

Answer:

40 and 10.33

Step-by-step explanation:

240÷6=40.. 72-10=62 62÷6=10.33

Answer:

axis of symmetry=-2

y intercept=(0,-1)

Answer:

15

Step-by-step explanation:

Answer:

The solution set is: (-1,3)

We want to find the set of the x-values of the points that belong to the given graph and have an y-value larger than zero.

The set is: s = (-1, 3)

To find the set, we need to see the x-values of the points on the graph such that y > 0.

y > 0 means that we only look at the region of the graph that is above the x-axis.

We can see that this region goes from x =-1 to x = 3

Then for all the x-values between x = -1 and x = 3 the points p(x, y) on the graph have an y-value larger than zero.

Notice that because the value must be larger than zero, then the particular x-values:

x = -1 and x = 3 are not in the set.

So the set must be written as:

s = (-1, 3)

This is the set in the interval notation.

If you want to learn more, you can read:

https://brainly.com/question/24600195

Answer:

$1

Step-by-step explanation:

because of the dollar it makes sense to be a dollar

Answer:

There is no significant evidence to support the claim that college women have more credit card debt than college men

Step-by-step explanation:

Given :

women n1 =32 x1= 781 s1 = 1489 men n2 = 38 x2 = 435 s2 = 1026

H0 : μ1 = μ2

H0 : μ1 > μ2

Assume unequal variance :

The test statistic :

(x1 - x2) / √(s1²/n1) + (s2²/n2)

T= (781 - 435) / √(1489²/32) + (1026²/38)

T = 346 / 311.42740

Test statistic = 1.111

Degree of freedom, df

(s1²/n1+s2²/n2)²÷1/(n1-1)*(s1²/n1)²+1/(n2-1)*(s2²/n2)²

The Pvalue :

(s1²/n1+s2²/n2)² = ((1489²/32) + (1026²/38))² = 9406484230.6884765625

1/(n1-1)*(s1²/n1)²+1/(n2-1)*(s2²/n2)²:

1/31(1489^2/32)^2 + 1/37(1026^2/38)^2 = 1.755926E8

df = 9406484230.6884765625 / 1.755926E8 = 53.569

df = 54

The Pvalue, from t score ;

Pvalue(1.111, 54) = 0.136

Pvalue > α ; Hence, we fail to reject the null ; There is no significant evidence to support the claim that college women have more credit card debt than college men

Step-by-step explanation:

D(.10) + Q(.25) = 4

I think

Answer:

D(.10) + Q(.25) = 4

Step-by-step explanation:

Answer:

a) The probability that with heavy use, the battery life exceeds 11 hours is 0.4602.

b) Using the standard normal table, After 6.8 hours should you plan to recharge your phone.

Step-by-step explanation:

a) The probability that with heavy use, the battery life exceeds 11 hours:-

P(x > 11) = 1 - p( x< 11)  

[tex]=1- p P[(x - \mu) / \sigma < (11 - 10.75) / 2.4]\\\\=1- P(z < 0.10)[/tex]  

Using z table distribution,    

= 1 - 0.5398  

= 0.4602  

b) Using the standard normal table,  

[tex]P(Z < z) = 5%\\\\\\\\= P(Z < -1.645 ) = 0.05 \\z = -1.645[/tex]

Using the z-score formula,  

[tex]x = z \times \sigma + \mu\\x = -1.645 * 2.4 + 10.75\\x = 6.8 hours.[/tex]

Flip the -1/4, cross deduct and should get 3/2

Answer:

It might be 3/2 or 1 and 1/2.

If z ⁷ = 128i, then there are 7 complex numbers z that satisfy this equation.

[tex]z^7 = 128i = 2^7i = 2^7e^{i\frac\pi2}[/tex]

[tex]\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}[/tex]

(where n = 0, 1, 2, …, 6)

[tex]\implies z = 2 e^{i\left(\frac\pi{14}+\frac{2n\pi}7\right)}[/tex]

[tex]\displaystyle\implies z = 2 \left(\cos\left(\frac\pi{14}+\frac{2n\pi}7\right)+i\sin\left(\frac\pi{14}+\frac{2n\pi}7\right)\right)[/tex]

Answer:

24

Step-by-step explanation:

To find the range, you must subtract the lowest value from the highest value in the data set. If you organize the set from least to greatest, 72 is the lowest, and 96 is the highest.

So, 96 - 72 = 24, which is the range.

Answer:

[tex]E(x) = 1.5\\[/tex]

Step-by-step explanation:

Given

[tex]n = 9[/tex] -- number of rolls

Required

The mean of 2's

The distribution follows binomial distribution where:

[tex]X \to Binomial(n,p)[/tex]

In this case:

[tex]p= \frac{1}{6}[/tex] ---- the theoretical probability of rolling 2

So, the mean of 2's is calculated using:

[tex]E(x) = np[/tex]

[tex]E(x) = 9 * \frac{1}{6}[/tex]

[tex]E(x) = \frac{9}{6}[/tex]

Simplify

[tex]E(x) = \frac{3}{2}[/tex] or

[tex]E(x) = 1.5\\[/tex]

Answer:

3b^2 + 2b -8

Step-by-step explanation:

* means multiply

^ means exponent

3b * b = 3b^2

3b * 2 = 6b

-4 * b = -4b

-4 * 2 = -8

3b^2 + 6b -4b -8

3b^2 + 2b -8

Answer:

D

Step-by-step explanation:

The symbol ~ means similarity (same shapes, not same size)

Answer:

w= 103.5 inches

Step-by-step explanation:

384=w+3w-30

414=4w

w=414/4=103.5 inches

Answer:

first drop box 384

second drop box 3

third drop boc 30

384 = 3 [tex]w^{2}[/tex] – 30 w

Step-by-step explanation:

Correct answer on Plato/Edmentum test

Answer:

Train A speed = x + 20

Train B = x

We know the 46 minutes is 23/30 of an hour.

Use D = rt

Take it from it, hope its helped, have a great day!

Step-by-step explanation:

You can simply plot these points on a graph and see where the line goes. It go

Answer:

50.24 or 50.272

Step-by-step explanation:

Square radius and then times by 3.14 or 3.142

4^2*3.14 = 50.24

4^2*3.142 = 50.272

Answer:

Slope: Undefined

Step-by-step explanation:

Since  x=1

is a vertical line, there is no y-intercept and the slope is undefined.  

y-intercept: No y-intercept

2(x +1) = 16

Use the distributive property ( multiply 2 by each term inside the parenthesis).

2x + 2 = 16

Subtract 2 from both sides:

2x = 14

Divide both sides by 2:

x = 7

Answer:

7

Step-by-step explanation:

2x+2=16

2x=16-2

x=16-2/2

x=14/2=7