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Lostsunrise [7]

3 years ago

14

A box is filled with2 blue cards,3 red cards, and7 green cards. A card is chosen at random from the box. What is the probability

that it is a blue or a green card? Write your answer as a fraction in simplest form.

1 answer:

bixtya [17]3 years ago

8 0

Answer:

$\frac{3}{4}$

Step-by-step explanation:

total number of cards 2+3+7=12

blue and green 2+7=9

P(blue or green)= $\frac{9}{12}$ = $\frac{3}{4\\}$

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What is the value of the expression below when x<br> 3 and y = 8?<br> 6x + 10y

suter [353]

Answer:

98

Step-by-step explanation:

So we have the expression:

$6x+10y$

And we want to evaluate it when x is 3 and y is 8.

So, substitute:

$=6(3)+10(8)$

Multiply:

$=18+80$

Add:

$=98$

And we're done!

7 0

3 years ago

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You have 10 tbsp of onion powder.

evablogger [386]

Answer:

we can make 5 servings of spice rub from 10 table spoons of onion powder

Step-by-step explanation:

Given the data in the question;

2 table spoon of onion powder makes one serving of spice rub.

Total table spoons of onion powder available = 10

So Let x represent the number of servings of spice rub we can make from our 10 table spoons of onion powder ;

2 table spoons = 1 servings

10 table spoons = x servings

we cross multiply;

x servings × 2 table spoons = 10 table spoons × 1 servings

x servings = ( 10 table spoons × 1 servings ) / 2 table spoons

x = 10 / 2

x = 5 servings

Therefore, we can make 5 servings of spice rub from 10 table spoons of onion powder

3 0

3 years ago

Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z =

irina1246 [14]

Answer:

Sally's temperature is 97.27 °F.

Step-by-step explanation:

All the information given in the question tells us that the human body temperatures are normally distributed with a population's mean = 98.20°F and a standard deviation = 0.62°F.

The question gives us Sally's temperature in a <em>z-score</em>. We have to remember that the <em>standard normal distribution</em> is a particular case of a <em>normal distribution</em> where the mean = 0 and the standard deviation = 1.

Using <em>the standard normal distribution,</em> we can determine every probability associated with a normal distribution "transforming" the raw scores, coming from normally distributed data, into z-scores.

A z-score gives us the distance from the population's mean and is in standard deviation units. So, a z = 1.5 tells us that the value is 1.5 standard deviations <em>above the mean</em>. Conversely, a z = -1.5 tells us that the raw score is also 1.5 standard deviation from the mean, but in the opposite direction, that is, <em>below the mean</em>.

The formula for a z-score is as follows:

$\\ z = \frac{x - \mu}{\sigma}$ (1)

Where

$\\ x\;is\;the\;raw\;score$ .

$\\ \mu\;is\;the\;population\;mean$ .

$\\ \sigma\;is\;the\;population\;standard\;deviation$ .

Then to find <em>x </em>(or the raw score, that is, Sally's temperature), we need to solve the formula (1) for it to finally solve the question.

Then

$\\ \mu = 98.20^\circF$ °F

$\\ \sigma = 0.62^\circF$ °F

$\\ z = -1.5$

Thus (with no units)

$\\ -1.5 = \frac{x - 98.20}{0.62}$

$\\ (-1.5*0.62) = x - 98.20$

$\\ (-1.5*0.62) + 98.20 = x$

$\\ x = (-1.5*0.62) + 98.20$

$\\ -0.93 + 98.20$

$\\ x = 97.27$ °F

Thus, Sally's temperature is $\\ x = 97.27$ °F (rounding the answer to the nearest hundredth).

8 0

3 years ago

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Which circle shows AB that measures 60 degrees?

kkurt [141]

Answer:

Can you put a picture?

Step-by-step explanation:

6 0

4 years ago

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Which of the following is an exponential equation?<br><br> y = mx + b<br> y = a(b^x)

Darina [25.2K]

Y = a(b^x)

y=mx + b is the equation of a line. It is a linear function because it has a constant rate of change.

y = a(b^x) is an exponential function because it has has an exponent and its rate of change is not constant

4 0

3 years ago