Answers
Related Questions
4. Find the sum of all the numbers from 100 to 199 that are not divisible by 13.
What is the formula for
this?
Answers
There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have
104 = 8•13
195 = 15•13
so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.
Then the sum we want is
[tex]\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell[/tex]
or equivalently,
(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)
To compute these sums, recall the following formula:
[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]
Then
[tex]\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950[/tex]
and
[tex]\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196[/tex]
which means the sum we want is 14,950 - 1,196 = 13,754.
A company makes 140 bags.
41 of the bags have buttons but no zips.
48 of the bags have zips but no buttons.
25 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answers
Answer:
41/140 or approximately 29.29%
Step-by-step explanation:
Divide 41 by 140 to get 0.29285714285, and round it to the nearest hundredths.
Answer:
Step-by-step explanation:
b= buttons
z= zips
b∩z'=41
b'∩z=48
b'∩z'=25
b=?
b= b∩z+b∩z' (law of total probability)
140=b∩z+b∩z'+b'∩z+b'∩z' (if this is confusing draw a venn diagram)
140=b∩z+41+48+25
b∩z=26
26+41= 67
67/140= .478571429
From a group of 15 men and 12 women, how many ways can you select a group of 2?
Answer:
Answers
The total number of ways this can be done together is 105 × 66 = 6930
This is a combination question question it has to do with selection.
In order to group 2 men from 15 men, this can be expressed using the combination formula as shown;
15C2 = 15!/(15-2)!2!
15C2 = 15!/13!2!
15C2 = 15×14/2
15C2 = 105 ways
Similarly in order to group 2 women from 12 men, this can be expressed using the combination formula as shown;
12C2 = 12!/(12-2)!2!
12C2 = 12!/10!2!
12C2 = 12×11/2
12C2 = 66 ways
The total number of ways this can be done together is 105 × 66 = 6930
Learn more about combination here: https://brainly.com/question/14492965
Round your answer to the Nearest tenth
Answers
v = 56 / 17
v = 3.294
v = 3.3
Answer:
3.3 or [tex]\frac{56}{17}[/tex]
Step-by-step explanation:
v/7 = 8/17
Cross multiply ... v times 17 & 7 times 8
17v = 56
Divide both sides by 17
v = 56/17
Keep your answer as a fraction OR
Convert to a decimal : 3.3
a. 7 + 3 x 2 + 4 = 25
7+ 3x2+4 =25
Answers
Answer:
False
Step-by-step explanation:
The sides are not equal.
$49.95 gloves 5 1/4 % markup
Answers
Answer:
1234567891011121314151617181920
Use the quadratic formula to find the solution to the quadratic equation given
below.
x2-x* 1-0
D A
1+
14
2
1-IS
X =
D
B. x-
= -2
O c. x = 3
-
-1+
D.x =2 1-O
E.1 4x=
.
OF.x
2
Answers
Answer:
x=-1/2
Step-by-step explanation:
using almighty formula
x= -b+or-√b²-4ac/2a
x=-1+ or -√-1+4(1)(1/4) divided by 2(1)
x=-1+ or -√-1+1 divided 2
x=-1+0 divided by 2
x=-1/2
Hoping to lure more shoppers downtown, a city builds a new public parking garage in the central business district. The city plans to pay for the structure through parking fees. During a two-month period (44 weekdays), daily fees collected averaged $126, with a standard deviation of $15. a) What assumptions must you make in order to use these statistics for inference
Answers
The assumptions required for making inference about a population using sample data include ;
The 10% condition, sample size must not be more than 10% of the population size Data should be approximately normal with sample size, n being greater than 30 (n ≥ 30).The sample selection must be independent, as the outcome of a certain trial must not depend on the outcome of another.Learn more : https://brainly.com/question/25609474
Write each value in standard form.
1. 507 thousandths
2. 5 and 6 thousandths
3. 9 and 62 thousandths
Answers
Answer:
1. 0.507
2. 5.006
3. 9.062
Step-by-step explanation:
If a value has “thousandths” in the question, the decimal place goes 4 places to the left: ex. 0.007.
Find the area of the shaded shape
Answers
Answer:
105
Step-by-step explanation:
yeah-ya............. right?
A rectangular garden is 16 feet wide. Its length is 8 feet more than twice the width. What is the area of the garden?
Answers
Answer:
640 ft²
Step-by-step explanation:
Hi there!
We're given:
Width = 16
Length = 2 x Width + 8
Solve for the length:
l = 2(16)+8
l=32+8
l=40
Therefore, the length of the garden is 40 ft.
To find the area, multiply the length and width:
A = lw
A = (16)(40)
A = 640 ft²
I hope this helps!
4(x-3) < x+3, Where x ∈ W
Please help me
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Given:
[tex]\rm\longmapsto 4(x-3)<x+3, x\in \mathbb{W}[/tex]
[tex]\rm\longmapsto 4x-12<x+3[/tex]
[tex]\rm\longmapsto 4x-12-x<x+3-x[/tex]
[tex]\rm\longmapsto 3x-12<3[/tex]
[tex]\rm\longmapsto 3x-12+12<3+12[/tex]
[tex]\rm\longmapsto 3x<15[/tex]
[tex]\rm\longmapsto \dfrac{3x}{3}<\dfrac{15}{3}[/tex]
[tex]\rm\longmapsto x<5, x\in\mathbb{W}[/tex]
[tex]\large\underline{\sf{Answer-}}[/tex]
Therefore:
[tex]\rm\longmapsto x=\{0,1,2,3,4\}\ \ \ [/tex]
A shoe box in the shape of a rectangular prism has these dimensions 14in,8 1/2in,4 3/4inwhat is the volume
Answers
Answer:
565.25 inches cubed
Step-by-step explanation:
14*(8 + 1/2)*(4 + 3/4)=565.25 inches cubed
You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?
Answers
9514 1404 393
Answer:
AED 5200
Step-by-step explanation:
The interest in the first year will be ...
I = Prt . . . . principal P invested at rate r for t years
I = 5000×0.04×1 = 200
The account will have AED 5200 in it after a year.
Christine made $143 for 11 hours of work.
At the same rate, how many hours would she have to work to make $221?
Answers
Answer:
17
Step-by-step explanation:
Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?
Answers
Answer:
You told me to resolve this question
Can anyone answer this?
Answers
Answer:
∠AMB = 103°
Step-by-step explanation:
The sum of angles in ∆AMB is ...
(∠A)/2 +(∠B)/2 + ∠AMB = 180°
∠AMB = 180° -(∠A +∠B)/2 = 180° -(58° +96°)/2
∠AMB = 103°
I NEED HELP W THIS ASAP!!!!!
Answers
Answer:
[tex]18[/tex]
Step-by-step explanation:
[tex] \frac{28}{14} = 2 \\ \frac{36}{x} = 2 \\ x = \frac{36}{2} \\ = 18[/tex]
TOT ROLIOS
-: Study Guide Ratios (Quiz 1)
Arroz Con Leche
Arroz con leche is a creamy dessert from Mexico and Spain.
Nia wants to use 6 cups of rice.
1. How much of each ingredient does she need?
Ingredients
Serves 4 people
2 cups of rice
4 cups of milk
.
cups of rice
.
cups of milk
į cup of sugar
cups of sugar
i handful of raisins
1 cinnamon stick
handfuls of raisins
cinnamon sticks
How many people will this larger batch of Arroz Con Leche serve?
Answers
Answer:
If Mia wants to use 6 cups of rice, she would need to multiply the amount of each ingredient by 3, because the original 2 cups times 3 is the 6 cups she wants to use. So the new amount for the recipe would be this:
6 cups of rice
12 cups of milk
1 cup of sugar
3 handful of raisins
3 cinnamon sticks
When asking how many this will serve, we also multiply by 3 the original amount of people which is 4 to get 12 servings of Arroz con leche
when a company produces 5,000 units, variable costs are $35 per unit and total cost in $200,000. What is the total cost when the company produces 8,000 units? (both 8000 and 5000 units produced are within the relevant range.)
Answers
A group of 4 friends went out for a special dinner. the items they ordered are listed below
24.95+18.96+17.55+23.14+12.00=96.60
Part B: The four friends decided to split the bill evenly. How much does each friend owe
Answers
24.95 + 18.96 + 17.55 + 23.14 + 12.00 + 96.60
4 divided by 12 is 3
The graph of y=⅔ x - 12 intersects the y-axis at Q (0, -12) and is perpendicular to a line joining Q to the point P ( x , 0). Find x
Answers
the holiday season,
13 homes on a certain street displayed lights and
8 displayed lawn ornaments. Five of the homes
displayed both lights and lawn ornaments. If there
are 32 homes on the street, how many had no
decorations at all?
O
3-3 Venn Diagram Stations.pdf
Answers
32-26=6
6 homes have no decorations at all.
DeAnna Worley is the office manager at Central
BioEnergy. She is married with one dependent. Her annual
graduated state income tax is $3,520. What is her semimonthly
salary
Answers
Answer:
67 i thing so if it wrong sorry and ill answer it again ight
Step-by-step explanation:
In the expression -3×+4y-2 what are the variables
Answers
Answer:
x and y are the variables
solve pls brainliest
Answers
I hope this is correct
Answer:
-8^2=1/64 and -3^3=1/27
Step-by-step explanation:
I appreciated if you mark me as brainliest
Which expression represents the number of thirds in 1
Answers
Answer:
A third is written as ¹/₃
Step-by-step explanation:
The way to understand this is the number on the bottom is the number of pieces being divided into;
So ¹/₃ is 1 whole divided into 3 parts;
So, you need 3 ¹/₃ parts to make a whole
[tex]a \ * \ \frac{b}{c} = \frac{ab}{c} \\\\ 3 \ * \ \frac{1}{3} = \frac{3 \ * \ 1}{3} \\\\ = \frac{3}{3} \\\\ = 1[/tex]
5/8 Divided by 6 5/6
Answers
Answer:
15/164
Step-by-step explanation:
5/8 ÷ 6 5/6 = 5/8 ÷ 41/6
= 5/8 x 6/41
= 30/328
= 15/164
A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?
Answers
17) Which number is located the same distance on
a number line from -5 as 3 is?
Answers
Answer: -13
Step-by-step explanation:
I know that the distance between -5 and 3 is 8 so I subtracted 8 from the negative 5 so it would be the same distance and I got -13
Answer:
-13
Step-by-step explanation: