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makkiz [27]
3 years ago
15

Mari has 3 friends who are available to go with her to the movies, but she only has 2 extra tickets. How many different choices

does Mari have for which 2 friends to invite?
Mathematics
1 answer:
aliina [53]3 years ago
6 0

Answer:

3 different choices

Step-by-step explanation:

This problem is a combination problem: She has 3 friends, and we want to know how many groups of 2 friends there are. We can solve this using the combination of 3 choose 2:

C(3,2) = 3!(1! * 2!) = 3*2/2 = 3 possibilities

If we call her three friends A, B and C, the groups that can be formed are:

A and B

A and C

B and C

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Solve the equation X/-2=5
Ipatiy [6.2K]

Answer:

\boxed {x = -10}

Step-by-step explanation:

Solve for the value of x:

\frac{x}{-2} = 5

-Multiply both sides by -2

x = 5 \times (-2)

\boxed {x = -10}

So, therefore, value of x is -10.

7 0
3 years ago
Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?​</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x

$\cos \left(38.5^{\circ}\right) x=40

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}

simplifying the above equation, we get

$x=\frac{40}{\cos \left(38.5^{\circ}\right)}

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

#SPJ9

7 0
1 year ago
Read 2 more answers
100 points, I need help fast!
ivolga24 [154]

a. The standard error is equal to the standard deviation divided by the square root of the sample size:

SE = (23 ppm)/√18 ≈ 5.42 ppm

b. The t statistic is given by the difference between the true and sample means, divided by the standard error:

t = (192 ppm - 180 ppm)/SE ≈ 2.21

c. The p-value is approximately 0.0204.

d. Since p < 0.05, the difference is significantly different, so we reject the null hypothesis.

e. A type I error might have occurred, since it's possible that the null hypothesis was true, but we ended up rejecting it.

4 0
2 years ago
Please help me on this ​
Crank

Answer: 6

Step-by-step explanation:

16 cups = 1 gallon

48 cups = 3 gallons

48/8 = 6 plants

3 0
3 years ago
15=3n+6p solve for n
malfutka [58]

15=3n+6p

We need to isolate n.

15 - 6p = 3n

(15 - 6p)/3 = n

5 - 2p = n

5 0
3 years ago
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