The following rule describes the relationship between x and y.

Valeria wants to ride her bicycle 48 miles this week. She has already ridden 18 miles. If she rides for 4 more days, what is the

vodka [1.7K]

Subract what she rode already from total:

48-18 = 30

Divide by number of days:

30/4 = 7.5

she will need to ride 7.5 miles per day

6 0

2 years ago

Read 2 more answers

In ABC, if the lengths of sides a and c are 8 centimeters and 16 centimeters, respectively, and the measure of C is 35 degrees,

Simora [160]

Answer:

∠ A ≈ 16.67°

Step-by-step explanation:

Using the Sine rule in Δ ABC

$\frac{a}{sinA}$ = $\frac{c}{sinC}$ , substitute values

$\frac{8}{sinA}$ = $\frac{16}{sin35}$ ( cross- multiply )

16 sinA = 8 sin35° ( divide both sides by 16 )

sin A = $\frac{8sin35}{16}$ , thus

∠ A = $sin^{-1}$ ( $\frac{8sin35}{16}$ ) ≈ 16.67° ( to 2 dec. places )

8 0

3 years ago

PLZ HELP ASAP GEOMETRY

zaharov [31]

I think the answer is 35

3 0

4 years ago

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Lie detectors Refer to Exercise 82. Let Y = the number of people who the lie detector says are telling the truth.

mr_godi [17]

Answer:

a) $P(Y\geq 10) = PX \leq 2) = 0.558$

b) $E(X) = \mu_X = np = 12*0.2 = 2.4$

$\sigma_X = \sqrt{np(1-p)}=\sqrt{12*0.2*(1-0.2)}=1.386$

$E(Y) = \mu_Y = np = 12*0.8 = 9.6$

$\sigma_Y = \sqrt{np(1-p)}=\sqrt{12*0.8*(1-0.8)}=1.386$

For this case the expected value of people lying is 2.4 and the complement is 9.6 and that makes sense since we have a total of 12 poeple.

And the deviation for both variables are the same.

Step-by-step explanation:

Assuming this previous info : "A federal report finds that lie detector tests given to truthful persons have probability about 0.2 of suggesting that the person is deceptive. A company asks 12 job applicants about thefts from previous employers, using a lie detector to assess their truthfulness. Suppose that all 12 answer truthfully. Let X = the number of people who the lie detector says are being deceptive"

For this case the distribution of X is binomial $X \sim N(n=12, p=0.2)And we define the new random variable Y="the number of people who the lie detector says are telling the truth" so as we can see y is the oppose of the random variable X, and the distribution for Y would be given by:[tex] Y \sim Bin (n=12,p=1-0.2=0.8)$

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:

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