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mihalych1998 [28]

3 years ago

12

The equation C = f - 32/ 1.8 relates the temperature in degrees fahrenheit F to degrees Celcius C. If the temperature is 25 degr

ees celcius what is the temperature in degrees fahrenheit?

1 answer:

julia-pushkina [17]3 years ago

4 0

77 degrees fahrenheit

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I dont know how to do this pls help

Alecsey [184]

Answer:

1) 225

2) 2304

Step-by-step explanation:

1)

Use geometric mean of legs

$x = \sqrt{(16+9)^2 * 9^2} = \sqrt{25^2 * 9^2} = 25 * 9 = 225$

2)

Use geometric mean of altitude

$x = \sqrt{(100-36)^2 * 36^2} = \sqrt{64^2 * 36^2} = 64 * 36 = 2304$

5 0

3 years ago

In his suitcase, Jack has 3 shirts, 4 pants, 2 socks (pairs of socks), and 2 shoes (pairs of shoes). How many unique ways can Ja

kipiarov [429]

Answer:

48

Step-by-step explanation:

the number of shirts are 3, number of pants 4, number of socks pairs 2 and 2 pairs of shoes.

first lets start with shirts and pants, number of unique combinations are,

(for each shirt there are 4 different pant combinations) = $(3)(4)$

=12

similiarly for each shirt pant pair there are 2 shoes and 2 socks pairs.

thus, total number of combinations are=

$(12)(2)(2)$

= 48

8 0

3 years ago

what interest rate is the local credit union giving you on a car loan of 25,000 for 5 years if they will collect 1500 in interes

lianna [129]

Answer:

1.2%

Step-by-step explanation:

4 0

3 years ago

A simple random sample of 110 analog circuits is obtained at random from an ongoing production process in which 20% of all circu

telo118 [61]

Answer:

64.56% probability that between 17 and 25 circuits in the sample are defective.

Step-by-step explanation:

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:

$n = 110, p = 0.2$

So

$\mu = E(X) = np = 110*0.2 = 22$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{110*0.2*0.8} = 4.1952$

Probability that between 17 and 25 circuits in the sample are defective.

This is the pvalue of Z when X = 25 subtrated by the pvalue of Z when X = 17. So

X = 25

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

$Z = \frac{25 - 22}{4.1952}$

$Z = 0.715$

$Z = 0.715$ has a pvalue of 0.7626.

X = 17

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

$Z = \frac{17 - 22}{4.1952}$

$Z = -1.19$

$Z = -1.19$ has a pvalue of 0.1170.

0.7626 - 0.1170 = 0.6456

64.56% probability that between 17 and 25 circuits in the sample are defective.

4 0

3 years ago

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two

Ne4ueva [31]

Answer:

7 cm and 2 cm

Step-by-step explanation:

the other possible sides add up to more than 13, therefore it cannot be possible to make a triangle with them. Triangle Inequality Theorem.

6 0

3 years ago

Read 2 more answers