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2 years ago

12

solomon has 4 hats and wears a different one everyday throughout 4 days. how many different orders can he wear the hats during t

hose days?

1 answer:

Vanyuwa [196]2 years ago

5 0

4!= 24 ways
........

You might be interested in

Factorise 18a³b³- 27a²b³ +36a³b²

irinina [24]

Answer:

(9a^2b^2(2ab - 3b + 4a).

Step-by-step explanation:

Take out the GCF.

The GCF is 9a^2b^2 so the factors are

(9a^2b^2(2ab - 3b + 4a).

3 0

2 years ago

Find the equation of the line which passes through (−2, 3) and the point of intersection of the lines x + 2y=0 and 2x − y − 12=0

Alik [6]

Answer: y = 0.794*x + 4.588

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case the points are:

(-2, 3) and the intersection of the lines:

x + 2y = 0

2x - y - 12 = 0

To find the intersection of those lines, we can first isolate one variable in one side of each equality, i will isolate the variable y.

y = -x/2

y = 2x - 12

Now we can write:

-x/2 = 2x - 12

Solving this we can find the value of x at which both lines intersect.

2x + x/2 = 12

(5/2)*x = 12

x = 12*(2/5) = 4.8

Now we evaluate one of the lines in that point and get:

y = -4.8/2 = -2.4

Then these lines intersect at the point (4.8, -2.4)

Now we can find the slope of our equation.

a = (-2.4 - 3)/(4.8 - (-2)) = 0.794

then we have:

y = 0.794*x + b

And we know that when x = -2, y = 3

then:

3 = 0.794*-2 + b

3 + 1.588 = b = 4.588

Then the equation is:

y = 0.794*x + 4.588

3 0

2 years ago

Read 2 more answers

An observational study found that the amount of sleep an employee gets each night is associated with job performance. The correl

Elina [12.6K]

Answer:

The correct option is D.) Causation cannot be determined from an observational study.

Step-by-step explanation:

The conclusion is not correct because

D.) Causation cannot be determined from an observational study.

Causation determined from an observational study is speculative and cannot be confirmed without data from a real experiment.

6 0

2 years ago

One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples

JulijaS [17]

Answer:

Step-by-step explanation:

Hello!

To test if boys are better in math classes than girls two random samples were taken:

Sample 1

X₁: score of a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: Score in the calculus of a girl

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.

To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.

Then you can calculate the interval as:

[(X[bar]_1-X[bar_2) ± $t_{n_1+n_2-2;1-\alpha /2}$ * $Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }$ ]

$Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11$

$t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708$

[(82.3-81.2) ± 1.708* (6.11* $\sqrt{\frac{1}{15}+\frac{1}{12} }$ ]

[-2.94; 5.14]

Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.

I hope this helps!

3 0

2 years ago

A fruit stand has to decide what to charge for their produce. They need \$5.30$5.30dollar sign, 5, point, 30 for 111 apple and 1

allochka39001 [22]

Answer:

111 apples cost $3.30 and 111 oranges cost $2 (1 apple costs nearly $0.03 and 1 orange costs nearly $0.02)

Step-by-step explanation:

Let the price of 111 apples be $x and the price of 111 oranges be $y.

1. 111 apples and 111 oranges cost $5.30, thus

x+y=5.30

2. 111 apples and 222 oranges cost $7.30, then

x+2y=7.30

Subtract the first equation from the second:

x+2y-x-y=7.30-5.30

y=2

Substitute it into the first equation:

x+2=5.30

x=3.30

111 apples cost $3.30 and 111 oranges cost $2 (1 apple costs nearly $0.03 and 1 orange costs nearly $0.02)

3 0

2 years ago

Read 2 more answers