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3 years ago

What is the sum of the measures of the interior angles of a hexagon? Enter your answer in the box.

Mathematics

1 answer:

Rasek [7]3 years ago

8 0

Answer:

120°

Step-by-step explanation:

sum of the measures of the interior angles of a hexagon

$= \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(6 - 2) \times 180 \degree}{6} \\ \\ = \frac{(6 - 2) \times 180 \degree}{6} \\ \\ =4 \times 30 \degree \\ \\ = 120\degree$

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En la promoción “La tómbola del descuento” de una tienda de autoservicio los clientes obtienen distintos descuentos por sus comp

nikdorinn [45]

Respuesta:

el descuento fue de 20%

3 0

3 years ago

5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a

SOVA2 [1]

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

the defective probability is constant and independent.
the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

Sample size (amount of clips in the package): n=20
Probability of defective clips: p=0.01.
number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

$P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169$

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4 years ago

What is the value of n in the diagram below?

IRINA_888 [86]

Answer:

n = 24

Step-by-step explanation:

(n + 18) and 2n are "complementary angles:" they add up to 90°.

Thus, n + 18 + 2n = 90. Combining the n terms results in 3n + 18 = 90.

Then 3n = 72. Dividing both sides by 3 results in n = 24.

n is 24, so n + 18 is 42 and 2n is 48. Note that 42 and 48 add up to 90.

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3 years ago

Two people share £350 in the ratio 1 : 6.<br><br><br>Calculate each share.

EleoNora [17]

Answer:

£50 and £300

Step-by-step explanation:

Sum the parts of the ratio 1 + 6 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of ratio

Hence

1 person receives £50

the other person receives 6 × £50 = £300

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3 years ago

A linear function includes the ordered pairs (0, 1), (3, 3), and (9, n). What is the value of n?

alexgriva [62]

The answer is A I think

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3 years ago