Jorge randomly selects a digit from 0 to 9. What is the probability that the digit he selects is a prime number?
Step-by-step explanation:
{0,1,2,3,4,5,6,7,8,9}--set of numbers from 0 to 9
{2,3,5,7}---set of prime numbers from 0 tp 9
there are 10 numbers in the first set and 4 numbers in the second set.
4/9 is the probability that the digit he selects is a prime number
Hope that helps :)
As in Example 1, suppose a die is rolled. Find each probability.
Gabrielle is 11 years older than Mikhail. The sum of their ages is 107. What is Mikhail's age?
Answer:
Mikhail's age is 48
Step-by-step explanation:
Answer:
107-11=96
96÷2=48
so Mikhail is 48 years old
Mr. Simpson has 5 boxes of paintbrushes in his art room. After the first week of school, he buys 3 more paintbrushes. The expression below shows the total number of paintbrushes in Mr. Simpson's art room when prepresents the number of brushes in each box. 3 + px 5 If each box contains 8 paintbrushes, how many total paintbrushes are in Mr. Simpson's art room? (Show your work or explain how you got your answer in words)
Answer:
5+3+8 or if its wrong then 5+3+8+5+3 or just one 3.
Step-by-step explanation:
Santo paid $16.25 to buy 5 children tickets and 1 adult ticket. Hulda paid $24.00 to buy 4 children tickets and 3 adult tickets. If both people paid the same price per ticket what was the price of an adult ticket
Answer:
The price of an adult ticket it $5
Step-by-step explanation:
To solve this, we would find the system of equations. We would set up two equations that will represent the situation.
Let c = price per children ticket
Let a = price per adult ticket
Santo:
5c + 1a = 16.25
Hulda:
4c + 3a = 24
5c + 1a = 16.25 -> a = 16.25 - 5c
4c + 3a = 24
4c + 3(16.25 - 5c) = 24
4c + 48.75 - 15c = 24
-11c + 48.75 = 24
-48.75 -48.75
-11c = -24.75
/-11 /-11
c = 2.25
5c + a = 16.25
5(2.25) + a = 16.25
11.25 + a = 16.25
-11.25 -11.25
a = 5
a = $5 , c = $2.25
Wich number line shows the graph x<-6?
The other side of the number line is -5 and -10
Answer:
It is the first one
Step-by-step explanation:
Open circle is greater or less than.
Closed circle is greater than or equal to and less than or equal to.
Help
See the picture
Answer:
38.63Step-by-step explanation:
Area x height
Answer:
SA = 12 mi²
Step-by-step explanation:
bottom = 2 x 2 = 4 mi²
one side = 1/2(2)(2) = 2 mi²
SA = 4(2) + 4 = 12 mi²
Challenge #1 Press "Deal" to receive your cards. Drag cards from your hand to the red and blue area GOAL: Create two groups of cards with the SAME SUM using as many cards as possible. Submit 8,7,6,3,2,1
Answer:
ok
Step-by-step explanation:
:)
A worker on an assembly line is required to take a short break every 90 to 120 minutes. The worker begins his job at 7:45 a.m. Which is not a time the worker could take his break?
Answer:
7:46 - 8:59
Step-by-step explanation:
This is their first 1-89 minutes of work, thus they are not able to go on break yet.
Justin is marking a border for a garden. He walks 200 feet to the east, then turns and
walks 120 feet due south, before finally walking in a straight line back to his original
starting point. To the nearest foot, how far does Justin walk in all?
Answer
feet
Answer:
d = 233.23 feet
Step-by-step explanation:
Given that,
Justin walks 200 feet to the east, then turns and walks 120 feet due south.
We need to find the total distance walked by Justin. Let the distance be d.
We can use the Pythagoras theorem to find it such that,
[tex]d=\sqrt{d_1^2+d_2^2} \\\\d=\sqrt{200^2+120^2} \\\\d=233.24\ feet[/tex]
So, he walk 233.23 feet in all.
Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equation to find out how many weeks it would take for Jack and Diane to have saved the same amount of money.
Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
6.5x - 8.25x = 9 - 37
-1.75x = -28
x = 16
The number of weeks when Jack and Diane would have the same amount of money is 16 weeks.
Equations that represents the amount of money savedTotal amount of money saved = amount the person has + (amount the person saves per week x number of weeks)
Total amount of money Jack saves = $37 + ($6.50 x w)
Total amount of money Diane saves = $9 + ($8.25 x w)
Number of weeks when they would have the same amount of moneyWhen Jack and Diane would have the same amount of money, the equations that represent the total amount of money saved for both individuals would be equal.
$37 + $6.50w = $9 + $8.25w
combine similar terms
$37 - $9 = $8.25w - $6.50
$28 = 1.75w
Divide both sides of the equation by 1.75
w = 16 weeks.
To learn more about how to determine when two people would have equal quantities, please check: https://brainly.com/question/25711114
Evaluate the expression below when x = 2 and z = 12. z + 5x^3
Answer:
52
Step-by-step explanation:
z + 5x ^3
12 + 5*(2^3)
12 + 5 * 8
12 + 40
52
-3y-5=10 Show your work please, thank you.
Answer:
-5
Step-by-step explanation:
-3y = 10 + 5
-3y = 15
y = - 5
Answer:
hi
Step-by-step explanation:
-3y-5=10
-3y=10+5
-3y=15
y=15/ -3
y= -5
hope it helps
have a nice day
On a map, 1 inch equals 20 miles. Two cities are 5 inches apart on the map. What is the actual distance between the cities?
Answer:
100 miles
Step-by-step explanation:
20x5
Kira has $2,250 sitting in a savings account that
earns 2.75% simple interest each year. If she
leaves it there untouched, how much will be in
the account after 8 years?
Answer:
2 250×96×2.75=5 940
Step-by-step explanation:
1 year=12 months
8 year's =96 Month's
first thing you need to do is to convert Years into months
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?
Answer:
B. Straight angles
Step-by-step explanation:
When combined, they form a straight line. They are also supplementary angles. When added together, they = 180 degrees.
Answer:
C. Alternate interior angles
Step-by-step explanation:
if you add an exclamation I will give you a Brain list
A male animal can weigh up to 6,000 pounds.
How many tons is 6,000 pounds?
6,000 pounds is equivalent to what
tons.
Answer:
it would be 3 tons if I'm correct
Answer: 3 tons
Step-by-step explanation:
1 ton is equal to 2,000 pounds.
Divide 6,000 from 2,000 to find how many tons the animal weighs.
6,000/2,000=3.
Hope this helps!
Help quick!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Area of this pi r²/2
3.142*324/2=3.142*162=509,004
Answer:
56.556
Step-by-step explanation:
In order to find the areaof a cirlcle the equation is pi(r^2)
radius is half of a diameter so i did 18 divided by 2 =6
3.142(6^2)=113.112
but since its only half a cirle i divided my answer by 2 in order to get 56.556
Please help meeeeeeeeeee
I hope this helped
Step-by-step explanation:
Ok
First : Find the area by using length x width x height
Second: 18in (long/length) x 12in (wide/width) 10in (high/height)
last : 18 x 12 x 10
=2,160 in/ C
the shorter leg of a right triangle is 8 inches shorter ybsn the longer leg. the hypotenuse is 8 inches longer thsn the longer leg
Answer:
Short leg = 24inches
Long leg = 32inches
Hypotenuse = 40inches
Step-by-step explanation:
Given:
shorter leg is 8inches shorter than the longer leghypotenuse is 8inches longer than the longer leglonger leg = x inchesPythagorean Theorem:
a²+b²=c² → (x-8)²+ x² = (x+8)²
Solving for both sides:
x² - 16x+ 64 + x² = x²+ 16x + 64
More Painful Solving:
x² - 32x = 0
x(x-32) = 0
x=0 or 32
Can't use the 0 so we trash it!
x=32
add 8 to get the hypotenuse and subtract 8 to get the short leg
one boy s c o r e d 80% out of a total of 500 marks how many marks did that boy is scored
The boy scored:
500 x 80% = 400 (marks)
help plssssssssssssssssss
Answer:
3) Not equivalent
4) Equivalent
5) Equivalent
(Multiply by two for the last two questions)
If we roll 40 times, how many rolls would you expect to win?
Answer:
what
Step-by-step explanation:
ok first of all roll what. If its a coin you will expect to win 20 times . if its a dice than it will be around 6.67 times.
four tenths plus four ninths
Answer:
38/45
Step-by-step explanation:
4/10+4/9 Simplify.
2/5*4/9 Find a common denominator (45).
2/5*9/9=18/45
4/9*5/5=20/45
18/45+20/45=38/45
Hope this helps and have a great day C:
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)
Answer:
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]
68% confidence level
So [tex]\alpha = 0.32[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.32}{2} = 0.84[/tex], so [tex]Z = 0.995[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24[/tex]
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
What is the p-value?The p-value is also known by the probability value. It is the probability of getting a result that is either the same or more than the actual value.
In a given data with a number n of people surveyed with a probability of success [tex]\pi[/tex] and a confidence level [tex]1-\alpha[/tex], we have the confidence interval of proportions.
[tex]\pi[/tex] ± [tex]\rm z\sqrt{\pi (1-\pi )} /n[/tex]
where z has a p-value of 1-[tex]\alpha /2[/tex]
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
n = 100, [tex]\pi[/tex] = 20/100 = 0.2
So, [tex]\alpha[/tex] = 0.32 where z has a p-value 1-[tex]0.32 /2 = 0.84[/tex]
z = 0.995
The lower limit of this interval
[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 - 0.995 \sqrt{0.2 \times 0.8} /100\\= 0.16[/tex]
The upper limit of this interval
[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 +0.995 \sqrt{0.2 \times 0.8} /100\\= 0.24[/tex]
Hence, The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
Learn more about p-value ;
https://brainly.com/question/15407907
5th grade math. correct answer will be marked brainliest, select which is greater than,equal to, less than for all
Answer:
Step-by-step explanation:
1. Less than
2. Greater than
3. Equal to
4. Greater than
5. Equal to
6. Less than
Which values are solutions to the inequality below?
Check all that apply.
x2 < 81
A. 6
B. 9
C. 10
D. -4
E. -9
F. -12
Answer:
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
Anna spent 3/4 of her money for a dress, She has 2.00 left, How much does she have at first?
Is (9,-5) a solution to the inequality y < -1/3x -2?
yes
no
Answer:
No
Step-by-step explanation:
[tex]y<-\frac{1}{3} x-2[/tex]
put in 9 for x
y<-\frac{1}{3} 9-2
y<-3 -2
y<-5
then put in -5 for y
-5<-5
Since they are the same number that makes the equation impossible
Hope that helps :)
ery Test
1
Select the correct answer.
Who is a consumer?
OA.
a person who buys items in a store
OB.
a person who owns a store
O C.
a person who works at a store