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3 years ago

8

Alexandra is determined to win a stuffed animal at the amusement park. She played 33 games and spent 25 tokens on each game. How

many tokens did Alejandra spend on games?

1 answer:

Nikitich [7]3 years ago

4 0

Answer:

825 tokens

Step-by-step explanation:

Each game costs 25 tokens, and she played 33 games.

To find the total number of tokens, multiply the cost for one game by home many games she played.

cost of one game * number of games played

25*33=825

She used 825 tokens on the games

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The base of a ladder is 25 meters due west of a burning building. If the angle of elevation of the ladder is 51°, how long is th

Tanzania [10]

Answer: the length of the ladder is 40 meters.

Step-by-step explanation:

The ladder forms a right angle triangle with the wall and the ground.

The length of the ladder represents the hypotenuse of the right angle triangle.

The distance of the base of the ladder due west of the burning building represents the adjacent side of the right angle triangle.

To determine the length of the ladder, h, we would apply the cosine trigonometric ratio. It is expressed as

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 51 = 25/h

h = 25/Cos 51 = 25/0.6293

h = 40 meters to the nearest meter.

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4 years ago

The formula F=9/5C+32 converts temperatures from Celsius C to Fahrenheit F. A. Solve the formula for C b. The boiling point of w

liraira [26]

Answer:

(a) $\therefore C=\frac59(F-32)$

(b)The boiling point of water in Celsius scale is 100°C.

(c)The setting in Celsius scale is 26.7°C.

Step-by-step explanation:

Given that,the formula is

$F=\frac95 C+32$ ......(1)

(a)

Given that,

$F=\frac95 C+32$

$\Rightarrow F-32=\frac95 C+32-32$ [ subtracting 32 from both sides]

$\Rightarrow F-32=\frac95 C$

$\Rightarrow \frac95 C=F-32$

$\Rightarrow C=\frac59(F-32)$ ......(2) [Multiplying $\frac59$ ]

$\therefore C=\frac59(F-32)$

(b)

Given that, the boiling point of water is 212°F.

Putting F=212 in equation (2)

$\therefore C=\frac59(212-32)$

$\Rightarrow C=\frac59\times 180$

$\Rightarrow C=5\times 20$

$\Rightarrow C=100$

The boiling point of water is 100°C.

(c)

Given that, a house thermostat is set at 80 degree.

Putting F=80 in equation (2)

$\therefore C=\frac59(80-32)$

$\Rightarrow C=\frac59\times 48$

$\Rightarrow C\approx26.7$

The setting in Celsius scale is 26.7°C.

7 0

3 years ago

Is -.012578142 rational or irrational

Natali5045456 [20]

Answer:

it is a irrational number

7 0

3 years ago

Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement

Alex Ar [27]

Answer:

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

Step-by-step explanation:

We use the binomial aproxiation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.173, n = 120$ . So

$\mu = E(X) = np = 120*0.173 = 20.76$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.173*0.827} = 4.14$

In a random sample of 120 households, what is the probability that more than 20 households but fewer than 35 households receive a retirement income?

We are working with discrete values, so this is the pvalue of Z when X = 35-1 = 34 subtracted by the pvalue of Z when X = 20 + 1 = 21.

X = 34

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

$Z = \frac{34 - 20.76}{4.14}$

$Z = 3.2$

$Z = 3.2$ has a pvalue of 0.9993

X = 21

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

$Z = \frac{21 - 20.76}{4.14}$

$Z = 0.06$

$Z = 0.06$ has a pvalue of 0.5239

0.9993 - 0.5239 = 0.4754

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

6 0

3 years ago

Mathhrjirjrrggghuughihihughhhg

marusya05 [52]

Answer:

jhliyuglkiygedrloqayfgwelJUQHAUGWDkutygsk,Hgkuyt

Step-by-step explanation:

3 0

3 years ago