Answer:
yes
Step-by-step explanation:
A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below.2 3 5 7 11 13 17 19 23 29 3137 41 43 47 53 59 61 67 71 73 7983 89 97Choose one of these numbers at random. Find the probability thata. The number is odd b. The sum of the digits is odd c. The number is greater than 70
Answer:
a. 0.96 = 96% probability that the number is odd.
b. 0.48 = 48% probability that the sum of the digits is odd.
c. 0.24 = 24% probability that the number is greater than 70.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We are given the prime numbers less than 100, they are:
2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
There are 25 prime numbers less than 100.
a. The number is odd
Of the 25, 24 are odd, only the number 2 is even. So
24/25 = 0.96 = 96%
0.96 = 96% probability that the number is odd.
b. The sum of the digits is odd
The sum of the digits is odd for:
3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them
12/25 = 0.48 = 48%
0.48 = 48% probability that the sum of the digits is odd.
c. The number is greater than 70
71, 73, 79, 83, 89, 97. 6 of them
6/25 = 0.24 = 24%
0.24 = 24% probability that the number is greater than 70.
A) The probability that one of the numbers is odd is; 96%
B) The probability that the sum of the digits is odd is; 48%
C) The probability that the number is greater than 70 is; 25%
We are given the prime numbers;
2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
This is a total of 25 prime numbers.
Thus; N = 25
A) The number of odd numbers are 24.
Thus,probability of selecting an odd number is;
P(odd number) = 24/25
P(odd number) = 0.96 or 96%
B) The numbers that their sum is odd are:
3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89
Kindly note that the single numbers are added to zero to make them odd too.
Thus there are 12 of them that their sum are odd.
P(sum is odd) = 12/25
P(sum is odd) = 0.48 or 48%
C) The numbers that are greater than 70 from the list are 71, 73, 79, 83, 89, 97. This is a total of 6 numbers.
Thus;
P(number is greater than 70) = 6/25
P(number is greater than 70) = 0.25 or 25%
Read more about probability of selection of numbers at; https://brainly.com/question/251701
the quotient of a number m and 4
Answer:
m/4
Step-by-step explanation:
Answer:
m/4
Step-by-step explanation:
A quotient is the result of division, so when you divide m by 4, you get m/4
Bob ate 24 pizzas in 1 1/3 hours. How many pizzas per hour did he eat?
HELP ASAP.
I’m so confused can someone tell me what to do on this? I’ll mark brainliest
9514 1404 393
Answer:
52°: angles 4, 13, 18128°: angles 1, 3, 14, 1744°: angles 5, 12, 15136°: angles 2, 6, 11, 1684°: angles 7, 1096°: angles 8, 9Step-by-step explanation:
Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.
Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.
Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.
In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.
In summary:
52°: angles 4, 13, 18128°: angles 1, 3, 14, 1744°: angles 5, 12, 15136°: angles 2, 6, 11, 1684°: angles 7, 1096°: angles 8, 9You have a huge review project for English where you have to answer 300 questions. You start on it after
school at 5:00. At 6:30, you have answered 55 questions.
Write a linear equation to represent Q questions remaining after h hours working on the homework.
write a linear equation to represent Q for questions remaining after h for hours working on the homework
Answer:
This blog entry describes what my students and I did during Week 2 of the Emerging Tech (NSF Grant) project. The events in this blog entry took place at the same time as the events in this article. As a pair, these describe what a PBL teacher does while running two projects in two different preps at one time. To see accounts on earlier or later weeks of these projects, go here.
What is the total area? Use 3 for Pi.
answer fast pls!!! <3
Answer:
total area = 217 m³
Step-by-step explanation:
area of the triangle
= 14 × 10
= 140 m²
area of a semicircle
= 1/2 × 22/7 × 7 × 7
= 77 m²
total area
= 140 + 77
= 217 m³
−3.64⋅|−5.3|−1.5^3
help pls
Answer:
5
Step-by-step explanation:
its 45
Answer:
-22.667
Step-by-step explanation:
-3.64(5.3) - (1.5)³
-19.292 - 3.375 = -22.667
What is the x-intercept of the graph of 2x - 4y = 7
Answer:
y=1/2x-7/4
Step-by-step explanation:
(3.5, 0)
How much greater is the distance between buoys A and B than the distance between
buoys B and C?
Answer:
4
Step-by-step explanation:
1. the distance between A and B can be calculated:
[tex]|AB|=\sqrt{(4+4)^2+(-4-2)^2} =10.[/tex]
2. the distance between B and C can be calculated:
[tex]|BC|=\sqrt{(-4+4)^2+(2+4)^2} =6.[/tex]
3. if AB=10, BC=6, then difference between them is 4.
PLLLLLLZZZZ HELP IT IS DUE NOW
Answer:
(1.5,-4) top left (-1.5,4)
Step-by-step explanation:
The point lies in the bottom right at (1.5,-4), and if you reflcting it across the x and y axis the point is going to be in the oppisite quadrant and oppisite of the original point. example if the coordinates are X value, reflecting them will make it -x, making positves negatives and vice versa.
P. S. you should start reviewing your school work for a test like a week before to have enough time to review it all.
A $65.00 coat is now on sale for $52.00. What percent discount is given.
65-52=13
13x100
65 = 20%
the discount is given 20%
Which graph represents the solution set of the inequality Negative 14.5 less-than x?
A number line going from negative 15 to negative 11. An open circle is at negative 13.5. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. A closed circle is at negative 14. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. An open circle is at negative 14.5. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. A closed circle is at negative 15. Everything to the right of the circle is shaded.
Answer:
Step-by-step explanation:
The third graph.
Answer:
the 3rd one
Step-by-step explanation:
David gave one-fifth of his 235 baseball cards to his sister.
What percent of his baseball cards did David give to his sister?
%
How many baseball cards does David have left?
Please Help!! I will do anything you want
Answer:
What percent of his baseball cards did David give to his sister?
20%
How many baseball cards does David have left? %
47
David had 180 cards left
Hope I helped!
An airplane is flying at an altitude of 1000 m. From the plane, the angle of depression to the base of a tree on the ground is measured at 15°. What is the distance from the plane to the base of the tree, rounded to the nearest 10th of a meter?
Answer:
im just trying to get points im sorry
Step-by-step explanation:
Kyler made 6 out of 8 free throws in his basketball game. What percentge of his free throws did he make?
Answer:
75 percent.
Step-by-step explanation:
your answer is 75 percent, because 8 divided by 6 is 0.75, and it ends up to be 75 percent.. hope this helped!
What is the slope of the line that passes through the points (-6, -7) and
(-24. - 7)? Write your answer in simplest form.
Answer:
-18/0 or 0
Step-by-step explanation:
Categorize the type of sampling (simple random, stratified, systematic, cluster, or convenience) used in each of the following situations.
A) To conduct a preelection opinion poll on a proposed amendment to the state constitution, a random sample of 10 telephone prefixes (first three digits of the phone number) was selected, and all households from the phone prefixes selected were called.
B) To conduct a study on depression among the elderly, a sample of 30 patients in one nursing home was used.
C) To maintain quality control in a brewery, every 20th bottle of beer coming off the production line was opened and tested.
D) Subscribers to the magazine Sound Alive were assigned numbers. Then a sample of 30 subscribers was selected by using a random-number table. The subscribers in the sample were invited to rate new compact disc players for selecting the songs in the playlist.
Answer: See explanation
Step-by-step explanation:
Cluster sampling, is a form of sampling whereby the population is divided by the researchers into smaller groups that are referred to as clusters and then the sample will be taken from the clusters formed.
Convenience sampling is when a sample is drawn based on the available population.
Systematic sampling is when a sample is gotten when the members are taken at regular intervals e.g 5th person, 12th items etc.
Simple random sampling is when the sample is selected from the larger population and in this case, every member involved can be selected as they all have an equal chance.
Based in the definition above, the answers will be:
a. Cluster sample
b. Convenience sample
c. Systematic sample
d. Simple random sample
Tara made 9 identical bags using 2 yards of fabric. How much fabric did Tara use for each bag?
Answer she used 4.5 for each bag.
Step-by-step explanation:
Answer:
2/9 or
0.2222222222222222222222222222222222222222222222222222222222222222... decimal
Step-by-step explanation:
2(4+7) as distributive property?
Answer:
2(4+7) = 2×4 + 2×7 = 8 + 14 = 22
Step-by-step explanation:
please help me work this out! set up and solve a quadratic equation to work out the value of x
Answer:
x = 8
Step-by-step explanation:
✔️Area of the square = s²
Where,
s = (2x - 4)
Area = (2x - 4)² = (2x - 4)(2x - 4) = 2x(2x - 4) -4(2x - 4)
= 4x² - 8x - 8x + 16
Area of square = 4x² - 16x + 16
Area of rectangle = L × W = (3x - 6) × x
= 3x² - 6x
✔️Since both have the same area, therefore,
4x² - 16x + 16 = 3x² - 6x
Collect like terms
4x² - 3x² - 16x + 6x + 16 = 0
x² - 10x + 16 = 0
Factorize
x² - 2x - 8x + 16 = 0
x(x - 2) -8(x - 2) = 0
(x - 2)(x - 8) = 0
(x - 2) = 0 or (x - 8) = 0
x = 2 or x = 8
If we plug in x = 2 into any of the given side length, we would have 0. (i.e. 2x - 4 = 2*2 - 4 = 0)
So the value of x cannot be 2 because the length of any of the shape cannot be 0.
So therefore, the value of x = 8
i will give you brainliest if the answer is correct
Answer:
x = 3
Step-by-step explanation:
x = (sq rt 3)( sq rt 3) because the leg opposite the 30 degree angle (sq rt 3) times the set value of sq rt 3 = the leg adjacent to the 30 degree angle.
x = (sq rt 3)(sq rt 3)
x = 3
What is the volume of this figure need help asap!!!
Answer:
312
Step-by-step explanation:
We can calculate by dividing it into 2 parts. The first part has length of 6, width of 4 and height of 2, so volume of this part is 48. Similarly, we can calculate that the volume of the second part is 264. Hence, the total volume is 312.
Answer:
Volume of the figure= 312 yd²
Step-by-step explanation:
Okay let's split this figure up into two different rectangles. Let's draw the line at the part of the rectangle that is nearest us (looking at the picture). The little part where it says 6 yd. and 4 yd.
We know volume is V= lwh
Start with the main rectangle (bigger one)
I see l=12, w=11, and h=2
So V(of main rectangle)=12x11x2
V(of main rectangle)=264
We have to go do the smaller rectangle now
I see l=4, w=6, but I know the h=2 because the height is the same as the main triangle.
So V(of smaller rectangle)=6x4x2
V(of smaller rectangle)=48
Now knowing the volume of the main and smaller rectangle, we have to add them to find the volume of the figure.
V(of smaller rectangle) + V(of main rectangle)
264 + 48
Volume of the figure= 312 yd²
The bottom one gghhggguffjgjtj
Answer:
the awnser should be. 3/4
Can you please move the question to the side I can't really see it all and that makes it hard to answer
An Analyst wants to know if there was a significant difference in the average of hours worked in a week from 2000 (Group 1) to 2004 (Group 2). He gathers all the data from the General Social Survey, and lists the following summary statistics from the sampling.
Year 2000 2004
Mean 27.34 48.12
Std. Dev 10.11 19.23
Unweighted n 43 54
Required:
What is the correct null hypothesis?
Answer:
H0 : μ2004 - μ2000 = 0
Step-by-step explanation:
Given the data:
Year ________: 2000 ___ 2004
Mean ________ 27.34 ___ 48.12
Std. Dev _______10.11 ____ 19.23
Unweighted n 43 54
The hypothesis is to test if there was a significant difference in the average number of hours worked in a week from 2000 to 2004 ;
Hence, the null hypothesis will negate the hypothesis, that is there is no difference in the average hours worked in a week from 2000 to 2004
Null hypothesis ; H0 : μ2 - μ1 = 0
Alternative hypothesis ; H1 : μ2 - μ1 ≠ 0
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.. As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
[tex]H_0; (\mu_1-\mu_2)=0[/tex]
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
Given information-For year 2000 2004
Mean 27.34 48.12
Standard Deviation 10.11 19.23
Unweighted n 43 54
Null hypothesis
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.
Now the Analyst want to know if there was a significant difference in the average of hours worked in a week from year 2000 to 2004.
To detect a difference (if there it is) between the average of hours worked in a week from 2000 to 2000, it should be test the null hypothesis that there is no difference between the means against the alternative hypothesis. Therefore,
[tex]H_0; (\mu_1-\mu_2)=D_0=0[/tex]
Versus
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
[tex]H_0; (\mu_1-\mu_2)=0[/tex]
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
learn more about the null hypothesis here;
https://brainly.com/question/4454077
Which is less and why? -5 OR-6
if you only have 14 packs of Fire Works and my 3 friends and I sent them off how many packs does each of us get if we share them equally
Answer:
4.66
Step-by-step explanation:
14 / 3 = x
4.66 = x
Answer:
So a whole number answer would be 3 per person with a remainder of 2.
or
It would be a mixed number and be 3 1/2 per person.
Step-by-step explanation:
Well you and your 3 friends are 4 people total.
4 is not a multiple of 14 so if you want to share equally youll have some leftover cause im assuming the answer must be a whole number and not a decimal.
But the most you and your friends can share equally is 3 per person. Since 4 people with 3 packs each (4 x 3) is 12 packs total with 2 packs leftover.
If you want to split these packs among the 4 of you, you can do 4/2 to get 1/2 a pack for each of you guys to share.
So a whole number answer would be 3 per person with a remainder of 2.
or
It would be a mixed number and be 3 1/2 per person.
Hope this helps!
If you need any further help or questions comment or message me!
Can someone please help me (25 points)
Answer:
[tex]V=343\,\,cm^3[/tex]
Step-by-step explanation:
Recall that fractional exponents are other form of representing roots.
In our case, the formula for the volume of the cube in terms of area of a face, is also written as:
[tex]V=A^\frac{3}{2} =(\sqrt{A} )^3[/tex]
which for the case of a cube with face area of 49 cm^2 becomes:
[tex]V=(\sqrt{49} )^3=7^3=343\,\,cm^3[/tex]
6. What is the measure of angle 7? (answer with the number only; not the
degree sign) *
Answer:
65
Step-by-step explanation:
because 5 and 7 are the same angle that means the opposite of the 65 has to also be 65
(312) 9 = 3. (9.12)
O A. True
O B. False
Answer:
False
Step-by-step explanation:
Since rounding 312 to the nearest hundred will be 300 and not 3 and rounding 9.12 to the nearest one is 9
and 300≠9
A taxi driver uses the formula 3.00 +1.5m to calculate the cost of a taxi
ride where m is the number of miles driven. What is the fair for a taxi
ride that is 12 miles long? Use the correct units.
Answer:
24$
Step-by-step explanation:
12m/1.5m=8 8*3=24
