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3 years ago

8

You roll a fair six-sided die twice. Find the probability of rolling a 4 the first time and a number greater than 3 the second t

ime

1 answer:

eimsori [14]3 years ago

6 0

Answer:

1/12

Step-by-step explanation:

P(4 first time and >3 second time)

= (1/6)(3/6)

= 1/12

Hence, Probability is <u>1</u><u>/</u><u>1</u><u>2</u>

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Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?

VikaD [51]

$\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\
\\
\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\
\\
\text{We know that there are 60 minutes in 1 hour. }\\
\\
\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}$

$\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\
\\
\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\
\\
=3\text{ hours}+0.2 \text{ hours}\\
\\
=3.2 \text{ hours}$

Hence, Jake's running time in decimal is: 3.2 hours

4 0

2 years ago

iragen [17]

A. (8,4) because you can tell in the second pattern

8 0

2 years ago

Jordan and Baylor are baking cookies for the Holidays. Jordan is baking 29 dozen chocolate chip cookies and Baylor is baking 36

Lana71 [14]

Jordan and Baylor are going to have all together 780 cookies

<u>Solution:</u>

Jordan is baking 29 dozen chocolate chip cookies and Baylor is baking 36 dozen sugar cookies.

We have to find how many cookies are they going to have all together?

Now,<em> total number of cookies = cookies made by Jordan + cookies made by Baylor </em>

Total number of cookies = 29 dozens + 36 dozens

Total number of cookies = 65 dozens

Total number of cookies = 65 x 12 per dozen

Total number of cookies = 780

Hence, they altogether have 780 cookies

4 0

2 years ago

What temperature is 23 degrees above freezing in fahrenheit

jek_recluse [69]

The temperature that is 23 degrees above freezing is 55 because the freezing level is 32 and you add 23 to that

7 0

3 years ago

16. From past experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain o

Lynna [10]

Answer:

E(x)=0.15

V(x)=0.3075

S(x)=0.5545

Step-by-step explanation:

The mean of a discrete variable is calculated as:

$E(x)=x_1*p(x_1)+x_2*p(x_2)+...+x_n*p(n)$

where $x_1,x_2,...,x_n$ are the values that the variable can take and $p(x_1),p(x_2),...,p(x_n)$ are their respective probabilities.

So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:

$E(x)=(0*0.92)+(1*0.03)+(2*0.03)+(3*0.02)=0.15$

Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.

At the same way, the variance V(x) is calculated as:

$V(x)=E(x^2)-(E(x))^2$

Where $E(x^2)=x_1^2*p(x_1)+x_2^2*p(x_2)+...+x_n^2*p(n)$

So, the variance V(x) is equal to:

$E(x^2)=(0^2*0.92)+(1^2*0.03)+(2^2*0.03)+(3^2*0.02)=0.33\\V(x)=0.33-(0.15)^2\\V(x)=0.3075$

Finally, the standard deviation is calculated as:

$S(x)=\sqrt{V(x)} \\S(x)=\sqrt{0.3075} \\S(x)=0.5545$

8 0

2 years ago

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