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3 years ago

10

Javier bought 2 adult movie tickets and 4 children’s movie tickets and spent a total of $46. If adult tickets cost $2 more than

children’s tickets,how much does each type of ticket cost?

1 answer:

Sergio [31]3 years ago

6 0

The children's ticket would be $7 each and the adult ticket would be $9.

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Log(5) + log(3) rewrite the following in the form log(c).

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Log (5) + log (3) = log (15)

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3 years ago

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Surface area of this right prism

Sphinxa [80]

$\qquad\qquad\huge\underline{{\sf Answer}}$

$\textsf{Let's calculate the surface area of given right prism}$

$\textbf{Area of Triangles :}$

$\sf{\dfrac{1}{2}\cdot 16\cdot 12}$

$\sf{8×12}$

$\sf96 \: \: cm {}^{2}$

$\textsf{Since there are two triangles, }$

$\textsf{Area of Triangles = 96 × 2 = 192 cm²}$

$\textbf{Now, calculate the Areas of rectangles :}$

$\textsf{Area - 1 = 12 × 10 = 120 cm²}$

$\textsf{Area - 2 = 16 × 10 = 160 cm²}$

$\textsf{Area - 3 = 20 × 10 = 200 cm²}$

$\textsf{Now add them all :}$

$\textsf{120 + 160 + 200 + 192}$

$\textsf{672 cm²}$

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2 years ago

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1.hi students I have a question for you

katen-ka-za [31]

Answer:

the answer of given question is $400.

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2 years ago

A sample size 25 is picked up at random from a population which is normally

Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 100 and variance of 36.

This means that $\mu = 100, \sigma = \sqrt{36} = 6$

Sample of 25:

This means that $n = 25, s = \frac{6}{\sqrt{25}} = 1.2$

(a) P(X<99)

This is the pvalue of Z when X = 99. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{99 - 100}{1.2}$

$Z = -0.83$

$Z = -0.83$ has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

$Z = \frac{X - \mu}{s}$

$Z = \frac{100 - 100}{1.2}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

X = 98

$Z = \frac{X - \mu}{s}$

$Z = \frac{98 - 100}{1.2}$

$Z = -1.67$

$Z = -1.67$ has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

6 0

3 years ago

Please help i have 2 questions thank you very much.

Rudik [331]

Hello!

Question 1
We first have to convert everything to yards since the concrete is charged by the cubic yards

15 feet = 5 yards
15 feet = 5 yards
3 inches = 0.08333

Multiply these to find the volume

5 * 5 * 0.08333 = 2.08325

Multiply this by the cost

2.08325 * 46 = 95.83

The answer is C) $95.83
------------------------------------------------------------------------------------------------------
Question 2

You have to find the volume of the first pyramid

The equation we use is $V = \frac{lwh}{3}$

V is volume
l is length
w is width
h is height

Put in the values we know

$V = \frac{16 * 16 * 28}{3}$

Multiply

$V = \frac{7168}{3}$

Divide

V = 2389.3333

Now we use this to find the side length of the second pyramid

$2389.333 = \frac{lw * 112}{3}$

Multiply both sides by 3

<span>7167.999 = lw * 112
</span>
Divide both sides by 112

63.9999 = lw

Since it is a square pyramid we know that sides are equal

63.999 = l^2

Take the square root of both sides

8 = l

The answer is B) 8in

Hope this helps!

8 0

3 years ago