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skelet666 [1.2K]

2 years ago

12

Ms. Jackson’s class is going to the zoo. The zoo charges $10 for an adult and $6 for each student. If the total was $118, how ma

ny students went to the zoo?

2 answers:

posledela2 years ago

3 0

18 students
ms Jackson is the only adult so 118-10=108
108 divided by $6 is 18, so 18 students

Lisa [10]2 years ago

3 0

Answer:

so that means 10 parents went and 3 children went

Step-by-step explanation: first you count by 10,s to get to 100 like this 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 and then 10 parents went and then you would count by 6 to get to 18 like this 6, 12, 18.

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Find the hypotenuse of a 45-45-90 triangle with legs equal to 7

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Square root of 98

Step-by-step explanation:

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The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder th

AlexFokin [52]

Answer:

The volume of the cylinder is 900 cubic inches

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Step-by-step explanation:

Given

Let V1 represent the volume of a cone and V2 represents the volume of a cylinder

$V_1 = 300in^3$

Required

Determine the volume of a cylinder with same dimension

The volume of a cone is calculated as:

$V_1 = \frac{1}{3}\pi r^2h$

The volume of a cylinder is calculated as:

$V_2 = \pi r^2h$

Since, the cone and cylinder have the same dimensions, we can substitute $\pi r^2h$ for $V_2$ in $V_1 = \frac{1}{3}\pi r^2h$

So, we have:

$V_1 = \frac{1}{3} * V_2$

Multiply both sides by 3

$3 * V_1 = \frac{1}{3} * V_2 * 3$

$3 * V_1 = V_2$

$V_2 = 3 * V_1$

Substitute $300in^3$ for $V_1$

$V_2 = 3 * 300in^3$

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<em>Hence, the volume of the cylinder is 900 cubic inches</em>

6 0

3 years ago

A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 14 adults are

Alexxandr [17]

Answer:

$P(X \leq 1) = P(X=0) +P(X=1)$

And if we find the indidivual probabilities we got:

$P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}$

$P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}$

And replacing we got:

$P(X \leq 1) = 1.74x10^{-8}$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=14, p=0.79)$

For the first part we want this probability:

$P(X \leq 1) = P(X=0) +P(X=1)$

And if we find the indidivual probabilities we got:

$P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}$

$P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}$

And replacing we got:

$P(X \leq 1) = 1.74x10^{-8}$

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3 years ago

Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.

blsea [12.9K]

Answer:

32.7°

Step-by-step explanation:

Applying,

The measure of single exterior angle(S') = sum of exterior angle(S)/number of sides of the polygon(n)

S' = S/n................... Equation 1

If the sum of the exterior angle of a convex polygon(S) = 360°

From the diagram in the question,

Given: n = 11 sides

Substitute into equation 1

S' = 360/11

S' = 32.7°

5 0

3 years ago