Step-by-step explanation:
1 Sequence
The numbers are in a right order but starting from 6 and ending at 10....
2 sequence
Numbers are from table of 3 and starting from 3×7 and ending up at 3×10
1. A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α = 0.01, test the fast food outlet's claim.
Answer:
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
Step-by-step explanation:
H0 : μ = 3.8
H1 : μ < 3.8
Test statistic :
(x - μ) ÷ s/sqrt(n)
(3.7 - 3.8) ÷ 0.6/sqrt(60)
Test statistic = - 1.29
The Pvalue from test statistic :
P(z < -1.29) = 0.0985
Reject Null if
Pvalue < α
0.0986 > 0.01 ; Hence, we fail to reject the null ;
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
PLEASE HELP ANS HURRY!
Abigail and her children went into a bakery and she bought $11.25 worth of cupcakes and cookies. Each cupcake costs $3.75 and each cookie costs $0.75. She bought a total of 7 cupcakes and cookies altogether. Graphically solve a system of equations in order to determine the number of cupcakes, x,x, and the number of cookies, y,y, that Abigail bought.
Number of cupcakes 2
number od cookies 5
"The frequency of an event uses counting numbers, but the __________________ of an event uses a percent or a number between 0 and 1."
The frequency of an event uses counting numbers, but the ___Relative Frequency__ of an event uses a percent or a number between 0 and 1.
How to find the relative frequency?Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
It ranges from 0 to 1 (since sub group's count ≤ total count. Expressing this decimal form to percent make it range from 0% to 100%
Thus, the frequency of an event uses counting numbers, but the ___Relative Frequency__ of an event uses a percent or a number between 0 and 1.
Learn more about relative frequency here:
https://brainly.com/question/8358304
I need help I don't know how to do this
Answer:
Step-by-step explanation:
????????????????? I NEED HELP WITH THIS WILL GIVE BRAINLIEST
Answer:
#3 is 40
#4 is 90
Step-by-step explanation:
Question 1
A cake is cut into 12 equal slices. After 3 days Jake has eaten 5 slices. What is his weekly rate of eating the cake?
Answer:
11.2 Slices / Week
Step-by-step explanation:
We know that Jake has eaten 5 slices of cake in 3 days. You can divide 5 / 3 to get an average of 1.6 slices of cake being eaten per day. The question asks what the weekly rate or eating the cake will be, do you need to multiple 1.6 x 7 for the total amount of cake eaten per week, which is 11.2 slices!
Hope this helped!
The price of a sweater was reduced from $20.00 to $12.00. By what percentage was the price of the sweater reduced?
Answer:
%40 Off
Step-by-step explanation:
Jenny went on a walk everyday for 4 weeks with her dog. She got paid $30 dollars everyday. How much money does she have?
Answer:
$840
Step-by-step explanation:
4 weeks = 28 days
28 x 30 = 840
Nathan and Noah each bought a video game. Nathan spent $62.40 on his game. Noah spent 3/4 as much as Nathan. How much did Noah spend on his video game?
Answer:Noah spent $46.80 on video game.
Step-by-step explanation:
Amount spent on game by Nathan =$62.40
Amount spent on game by Noah =3/4 as much as Nathan.
Therefore Noah spent 3/4 x $62.40= $46.80 on video game.
If 1llm, find the value of x
Answer:
D
Step-by-step explanation:
HAHAHA
Answer:
E) 22
Step-by-step explanation:
[tex] l || m\: \&\:line\: j\: is \: their \: transversal [/tex]..... (given)
[tex]\therefore(5x - 16)\degree = (2x)\degree + 50\degree [/tex]
(Corresponding angles)
[tex]\therefore(5x - 16)\degree = (2x+50)\degree [/tex]
[tex]\therefore 5x - 16 = 2x+50 [/tex]
[tex]\therefore 5x - 2x = 16+50 [/tex]
[tex]\therefore 3x = 66 [/tex]
[tex]\therefore x =\frac {66}{3} [/tex]
[tex]\therefore x =22 [/tex]
Your construction company needs to pay a large bill for materials. You decide to pay the bill over the next few months. The bill is $8,970. The first month, you paid $1,250. How much do you still owe for the materials?
$5,970
$6,720
$7,720
$10,120
$10,220
Answer: 7,720
The answer is 7,720! got the question correct with it
FIND THE THE
MISSING ANGLE:
31°
29
Answer:
120°
Step-by-step explanation:
31 + 29 = 60
180 - 60 = 120
Find the area of the shaded sector.
Answer:
92.99
Step-by-step explanation:
ASAP WILL MARK BRAINLIEST
Find the volume of the following. Give exact values. I
A sphere with radius 9
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Volume
= 4 / 3 πr ^ 3
= 4 / 3 × π × 93
= 972π
= 3053.6280592893 feet3
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Branilest?
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
ASAP PLS PLS PLS my heart is so brocken if you don't tell me
Answer: meters: 3 6 9 12
Millimeters: 6,000 7,000 9,000
Step-by-step explanation:
Your adding by 3 in meters and then after 7,000 you have 9,000 then 10,000
I hope this helped!
Answer: 1: 6, 2: 7, 3: 9000, 4: 10
im sure thats it
Step-by-step explanation:
Which of the graphs represent the equation y=5x-4 and also correctly states whether it is linear or non linear.
Answer:
B
Step-by-step explanation:
Hi! Because the equation is y=5x-4, it tells is that it intersects with the y axis at -4, and that it's slope goes up 5, right 1. Since B is the only graph that shows that, the answer is b.
At last week's track meet, Stacy ran 9/12 of a km, Jules ran 4/5 of a km, and Raul ran 3/4 of a mile. Which two students ran the same distance?
Answer: No two students ran same distance
Step-by-step explanation:
Given
Stacy ran [tex]\frac{9}{12}[/tex] of a km i.e.
[tex]\Rightarrow 1\times \dfrac{9}{12}=\dfrac{3}{4}=0.75\ km[/tex]
Jules ran [tex]\frac{4}{5}[/tex] of a km i.e.
[tex]\Rightarrow 1\times \dfrac{4}{5}=0.8\ km[/tex]
Raul ran [tex]\frac{3}{4}[/tex] of mile i.e.
[tex]\Rightarrow 1\times \dfrac{3}{4}=0.75\ miles\\\\\text{1 mile=1.6 km}\\\\\Rightarrow 0.75\ miles=1.2\ km[/tex]
So, no two students ran the same distance.
23% of a number is 147.2.
What is the original number?
the answer is 640.
if you take 640 and multiply it by .23 (because of 23%), you get 147.2 which is exactly what you are looking for.
Hope this helps! :)
if f (12) =4(12)-20 which function represents f(x)?
Answer:F(x)=4x-20
Step-by-step explanation:
The X on both sides is 12.
Answer:
The graph of f (x)=[x+2] after it is translated 4 units to the right
Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.
Answer:
x = 6
y = 45 degrees
Step-by-step explanation:
Here, we want to get the measure of x and y
For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees
This mean y is 45
To get x, we know we have an isosceles triangle
So the length of the third ungiven leg is x too
Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides
(6 √2)^2 = x^2 + x^2
72 = 2x^2
x^2 = 72/2
x^2 = 36
x = √36
x = 6
A store has a pair of pants marked $39.99 with a 40% off tag. What is the sale price of the pants?
Answer:
$23.99
Step-by-step explanation:
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
Answer:
Length of the pool = 52 m
Width of the pool = 25 m
Step-by-step explanation:
Perimeter of rectangular pool = 154 m
Let the length of rectangular pool = l m
And width of the rectangular pool = w m
Formula, to calculate the perimeter of a rectangle is given by,
Perimeter = 2(Length + width)
By substituting values in the formula,
154 = 2(l + w) --------(1)
Since, "length of the pool is 2 m more than twice of its breadth"
l = 2 + 2w ---------(2)
Bu substituting value of 'l' from equation (2) to equation (1),
154 = 2[(2 + 2w) + w]
154 = 2(3w + 2)
77 = 3w + 2
3w = 75
w = 25 m
From equation (2),
l = 2 + 2(25)
l = 2 + 50
l = 52 m
Therefore, length of the rectangular pool is 52 m and width is 25 m.
WILL MARK BRAINLIEST IF CORRECT
Answer:
this is the 3rd one or second
Step-by-step explanation:
Linda will spend more than $29 on gifts. So far, she has spent $16. What are the possible additional amounts she will spend?
Use c for the additional amount (in dollars) Linda will spend.
Write your answer as an inequality solved for c.
Answer:
c ≥ $13
Step-by-step explanation:
We know that Linda will spend more than $29 on a gift.
This means that if S is the total amount she will spend on the gift, the minimum that she can spend is $29, we can write this as:
S is larger than or equal to $29
S ≥ $29
Now we know that she already spent $16, then we can write:
S = $16 + c
Where c is the additional amount she will spend.
Replacing that in our inequality we get
$16 + c ≥ $29
Now we can subtract $16 in both sides to get:
$16 + c - $16 ≥ $29 - $16
c ≥ $29 - $16 = $13
c ≥ $13
This means that she will spend at least another $13,
Find the mean of these numbers:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11
a 6
b 7
c 6.5
d 7.5
Answer:
c. 6.5
Step-by-step explanation:
mean basically means average
2+3+4+5+6+7+8+9+10+11=65
65/10=6.5
How many terms of the arithmetic sequence {1,22,43,64,85,…} will give a sum of 2332? Show all steps including the formulas used to calculate your answer. Please don't link me any answers, I am unable to open them.
There's a slight problem with your question, but we'll get to that...
Consecutive terms of the sequence are separated by a fixed difference of 21 (22 = 1 + 21, 43 = 22 + 21, 64 = 43 + 21, and so on), so the n-th term of the sequence, a (n), is given recursively by
• a (1) = 1
• a (n) = a (n - 1) + 21 … … … for n > 1
We can find the explicit rule for the sequence by iterative substitution:
a (2) = a (1) + 21
a (3) = a (2) + 21 = (a (1) + 21) + 21 = a (1) + 2×21
a (4) = a (3) + 21 = (a (1) + 2×21) + 21 = a (1) + 3×21
and so on, with the general pattern
a (n) = a (1) + 21 (n - 1) = 21n - 20
Now, we're told that the sum of some number N of terms in this sequence is 2332. In other words, the N-th partial sum of the sequence is
a (1) + a (2) + a (3) + … + a (N - 1) + a (N) = 2332
or more compactly,
[tex]\displaystyle\sum_{n=1}^N a(n) = 2332[/tex]
It's important to note that N must be some positive integer.
Replace a (n) by the explicit rule:
[tex]\displaystyle\sum_{n=1}^N (21n-20) = 2332[/tex]
Expand the sum on the left as
[tex]\displaystyle 21 \sum_{n=1}^N n-20\sum_{n=1}^N1 = 2332[/tex]
and recall the formulas,
[tex]\displaystyle\sum_{k=1}^n1=\underbrace{1+1+\cdots+1}_{n\text{ times}}=n[/tex]
[tex]\displaystyle\sum_{k=1}^nk=1+2+3+\cdots+n=\frac{n(n+1)}2[/tex]
So the sum of the first N terms of a (n) is such that
21 × N (N + 1)/2 - 20N = 2332
Solve for N :
21 (N ² + N) - 40N = 4664
21 N ² - 19 N - 4664 = 0
Now for the problem I mentioned at the start: this polynomial has no rational roots, and instead
N = (19 ± √392,137)/42 ≈ -14.45 or 15.36
so there is no positive integer N for which the first N terms of the sum add up to 2332.
7. A boy on ice skates has a momentum of 200 kg m/s to the left at a velocity of 20
m/s. How fast is the boy going?
Answer: 10 m/s
Step-by-step explanation:
Given
Momentum of boy [tex]P=200\ kg.m/s[/tex]
Mass of boy is [tex]m=20\ kg[/tex]
Momentum is the product of mass and velocity
[tex]P=mv[/tex]
Substitute value
[tex]\Rightarrow 200=20\times v\\\Rightarrow v=10\ m/s[/tex]
Thus, the boy is moving with a velocity of 10 m/s
37 1/2 of what number is 60
Answer:
The number is 1.6 .
Step-by-step explanation:
37.5x = 60
x = 60/37.5
x = 1.6
Miss stephens is buying pencils for all of her students,she already has 7 pencils,and needs a total of 59. If they come in packs of 13, how many packs does she need to buy?
Answer:
4
Step-by-step explanation:
13 x 4 = 52 + 7 = 59
Ao desenhar um triangulo, Heitor aproveitou um dos cantos da folha de seu caderno retangular, que formara um dos vértices do triangulo. Para finalizar o desenho, o maior ângulo inteiro que ele pode usar, medindo com um transferidor, e A 1. B 60. C 89. D 90
hbbbbbbbbbbbnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
