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3 years ago

When Jill woke up, the temperature was -3 C. By noon the temperature had increased by 8 C.

1 answer:

3 0

-3+8.

We know that the temperature /was/ -3, so it was 3 under zero. It has /risen/ by 8, meaning we have added 8 degrees to whatever the starting temperature was.

We can find out how much the temperature is right now: it was -3, went through -2, -1, 0, 1, 2, 3, 4, and now its at 5 degrees. Thats risen by 8 degrees, right? And -3+8 is the same as 8-3 (commutative property of addition, since we basically did 8+(-3)) which equals 5, so we know that we got the correct answer. :)

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Given h(x)=3x+4, solve for x when h(x)=1

aivan3 [116]

Answer:

Step-by-step explanation:

Given,

h ( x ) = 1

To find : -

h ( x ) = 3x + 4

h ( 1 ) = 3 ( 1 ) + 4

= 3 + 4

h ( 1 ) = 7

3 0

2 years ago

Read 2 more answers

Three times a number decreased by 9

DedPeter [7]

Answer:

I do not know what you want, but the equation is 3x - 9

Step-by-step explanation:

7 0

3 years ago

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Cereal. A dietician obtains the amounts of sugar (incentigrams) from 100 centigrams (or 1 gram) in each of 10 differentcereals,

nadezda [96]

Answer:

Range is 44

mean is 29.7

variance is 289.56

standard deviation is 17.016

Step-by-step explanation:

The data given as follows

3, 24, 30, 47, 43, 7, 47,13, 44, 39

Range = maximum - minimum

= 47 -3 = 44

mean = $\frac{3+24+30+47+43+7+47+13+44+39}{10}$ = 297/10 = 29.7

variance = $\frac{sum xi^2 }{N} - mean^2 }$

= 289.56

SD = $\sqrt{variance}$ = 17.016

The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.

3 0

2 years ago

Which of the following statements about unit rates is NOT true?

atroni [7]

Answer:

A) A unit rate relates a quantity to 1 : TRUE

B) unit rates can be used to compare two rates : TRUE

C) any rate is equivalent to its unit rate

. FALSE

D) a unit rate always relates quantities with the same units. FALSE

Step-by-step explanation:

The ratio that which is used to compare quantities of different kinds is known as the rate of that quantity.

A unit rate is the ratio.

Number of units of the first type of quantity : Number of units of the second type of quantity.

Now,

A) a unit rate relates a quantity to 1.

TRUE, as a UNIT is equivalent to one.

Hence, unit rate unit rate relates a quantity to 1.

B) unit rates can be used to compare two rates

TRUE, unit rate compares two rates.

C) any rate is equivalent to its unit rate

FALSE, only the rate of one single unit is equivalent to its Unit Rate.

D) a unit rate always relates quantities with the same units

FALSE, rate compares the two terms which are in different units.

8 0

2 years ago

A loaded 8-sided die is loaded so that the number 4 occurs 3/10 of the time while the other numbers occur with equal frequency.

Law Incorporation [45]

Answer:

4.4

Step-by-step explanation:

The sum of the probabilities of all possible outcomes is 1.

As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.

Create a probability distribution table for X, where X is the score on the loaded 8-sided die:

$\begin{array}{ | c | c | c | c | c | c | c | c | c |}\cline{1-9}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\cline{1-9} & & & & & & & &\\ \text{P}(X=x) & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{3}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10}\\& & & & & & & &\\\cline{1-9}\end{array}$

Add a product row and a totals column:

$\begin{array}{ | c | c | c | c | c | c | c | c | c | c |}\cline{1-10}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 &\text{Total} \\ \cline{1-10} &&&&&&&&& \\ \text{P}(X=x) & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{3}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & 1\\ &&&&&&&&&\\ \cline{1-10} &&&&&&&&&\\\text{Product} & \frac{1}{10} & \frac{2}{10} & \frac{3}{10} & \frac{12}{10} & \frac{5}{10} & \frac{6}{10} & \frac{7}{10} & \frac{8}{10} & \frac{44}{10} \\ &&&&&&&&&\\\cline{1-10}\end{array}$

(The Product is row is the product of the <u>score on the die</u> and <u>its probability</u>).

The expected value (EV) is the sum of the product of each outcome and its probability.

Therefore, the expected value (EV) of this die is 44/10 = 4.4

6 0

2 years ago