Question 1(Multiple Choice Worth 1 points)

The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.

Pavel [41]

Step-by-step explanation:

The question is wrong. The correct equation is :

$C=\frac{5}{9}F-\frac{160}{9}$

We know that the equation gives the relation between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

$0=\frac{5}{9}F-\frac{160}{9}$ ⇒ $F=32$

And for C = 100 :

$100=\frac{5}{9}F-\frac{160}{9}$ ⇒ $F=212$

Therefore, the domain as relating temperatures of water in its liquid state is

Dom (C) = (32,212)

For (d) we only need to replace in the equation by $F=71$ and find the value of C ⇒

$C=\frac{5}{9}F-\frac{160}{9}$ ⇒

$C=(\frac{5}{9})(71)-\frac{160}{9}$

$C=\frac{65}{3}$ ≅ 21.67

C(71) = 21.67 °C

4 0

1 year ago

The positions of two divers from the water's surface after a dive are shown: Justine: −10 feet Mina: −13 feet Which inequality e

Svetach [21]

Answer

D.Because −13 < −10, so −13 is farther from 0 than −10

Step by step explanation

Here -13 deeper than -10

-13 is less than -10 and it is farther from 0 than -10.

Therefore, Mina is deeper in the water than Justine.

Thank you.

4 0

2 years ago

Read 2 more answers

Guidelines for the jolly blue giant health insurance company say that the average hospitalization for a triple hernia operation

lidiya [134]

To solve this problem, we make use of the t statistic. So what we have to do is to calculate for the t score in this case and using the standard distribution tables, we locate for the p value using the t score value.

The formula for t score is given as:

t = (x – μ) / (σ / sqrt(n))

Where,

x = statistical mean of the sample = 40

n=number of individuals in the sample = 16

s=standard deviation = 20

μ=Population Mean = 30

Substituting the given values:

t = (40 – 30) / (20 / sqrt 16)

t = 10 / 5

t = 2

Using the standard distribution tables at degrees of freedom = n – 1 = 15, the value of p to the right is:

p = 0.032

6 0

2 years ago

Peanut allergies among children. About 2% of children in the United States are allergic to peanuts. Choose three children at ran

Step2247 [10]

Answer:

P(X=2|X≥1) = 0.0199973.

Step-by-step explanation:

The chance that each of the three children is allergic to peanuts is independent. Each with a chance of 2% = 0.02.

X follows a binomial distribution with

3 trials, and
a chance of "success" of 2% = 0.02.

$P(X = 2|X\ge 1) = \dfrac{P(X = 2 \cap X\ge 1)}{P(X\ge 1)}$ .

The event $X \ge 1$ includes

$X = 1$
${\bf X = 2}$ , and
$X = 3$ .

In other words, $X = 2$ implies that $X\ge 1$ .

$P(X = 2 \cap X\ge 1) = P(X = 2) = \left(\begin{array}{c}3\\2\end{array}\right ) \times 0.02^{2} \times (1-0.02) = 0.001176$ .

$P(X\ge 1) = 1 - P(X< 1) \\\phantom{P(X\ge 1)}= 1 - P(X = 0) \\\phantom{P(X\ge 1)}= 1 -\left(\begin{array}{c}3\\0\end{array}\right ) \times (1-0.02)^{3} \\\phantom{P(X\ge 1)}= 0.058808$ .

$P(X = 2|X\ge 1) = \dfrac{P(X = 2 \cap X\ge 1)}{P(X\ge 1)} = \dfrac{0.001176}{0.058808} = 0.0199973$ .

3 0

2 years ago

In ABC, AB=3 and AC=9 find m<B to the nearest degree

Semmy [17]

By definition,
tanB = opposite/adjacent = 9/3 = 3

From the calculator,
B = arctan(3) = 71.6°

Answer: 72° (nearest degree)

4 0

1 year ago

Read 2 more answers