Answer: 30, 45, 60, 75, 90
Step-by-step explanation: you will use multiples of 15 to find the answer. Detail given below:
1. if parking lot have 2 rows then 30 spaces
2. if parking lot have 3 rows then 45 spaces
3. if parking lot have 4 rows then 60 spaces
4. if parking lot have 5 rows then 75 spaces
5. if parking lot have 6 rows then 90 spaces
Express the terms of the following geometric sequence by giving an explicit formula. 8 , -32 , 128 , -512 , 2,048 , ...
Answer:
8*(-4)^(n-1)
Step-by-step explanation:
The common ratio is - 32/8 = - 4, the first term being 8. The formula will be 8*(-4)^(n-1).
52% of 1000 registered voters intend to vote for Steven Collins for mayor. What is the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins?
A. (50.1%, 53.9%)
B. (48%, 56%)
C. (49.9%, 54.1%)
D. (48.9%, 55.1%)
Using the z-distribution, the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins is:
D. (48.9%, 55.1%)
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]\pi = 0.52, n = 1000[/tex]
Hence the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]
As a percentage, option D is correct.
More can be learned about the z-distribution at https://brainly.com/question/25890103
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brainiest to whoever right
Answer:
Area of a triangle
Step-by-step explanation:
1/2bh is used to find the area for a triangle
2. A doctor treated 2000 patients over a period of time. If he worked for 5 hours a day and spent 15 minutes on each patient how many days did the doctor spend to treat all patients?
Answer:
The answer is 6000 days.
There is a triangular garden plot with a side of
z
. The second side is
5
feet more than the first. The third side is
2
times the first. Write an expression that represents the perimeter of this garden plot. Make sure to simplify.
9514 1404 393
Answer:
P = 4z +5
Step-by-step explanation:
The side lengths are given as (z), (z+5), (2z). The perimeter is the sum of the side lengths:
P = z +(z +5) +2z
P = 4z +5
In a group 40% like football ,70% like cricket and 30% like both games
Step-by-step explanation:
Ans is 20 .
F union C whole complement is 20
A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
BRAINLIEST, PLEASE!
Step-by-step explanation:
8x + 2 = 2(21)
8x + 2 = 42
8x = 40
x = 5
In the expression, the value of number is 5.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We can to given that;
The algebraic expression is,
''A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21.''
Now,
Let a number = x
Hence, We can formulate;
⇒ x × 8 + 2 = 2 × 21
⇒ 8x + 2 = 42
Subtract 2 both side,
⇒ 8x + 2 - 2 = 42 - 2
⇒ 8x = 40
Divide by 8;
⇒ x = 5
Thus, The value of number = 5
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The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62. In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35. (Round your answer to three decimal places)
Using the normal probability distribution and the central limit theorem, it is found that there is a 0.04 = 4% probability that the mean ticket price exceeds $35.
------------------------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
------------------------------------------
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
------------------------------------------
The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62.
This means that [tex]\mu = 32.61, \sigma = 8.62[/tex]
------------------------------------------
Sample of 40:
This means that [tex]n = 40, s = \frac{8.62}{\sqrt{40}}[/tex]
------------------------------------------
In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35.
This is 1 subtracted by the p-value of Z when X = 35, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{35 - 32.61}{\frac{8.62}{\sqrt{40}}}[/tex]
[tex]Z = 1.754[/tex]
[tex]Z = 1.754[/tex] has a p-value of 0.96.
1 - 0.96 = 0.04
0.04 = 4% probability that the mean ticket price exceeds $35.
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The unit circle with center at the origin is a relation but not a function Find the two functions which are semicircles of the unit circle and determine their domains and ranges?
Answer:
Step-by-step explanation:
The relation is x²+y²=r² with r being the radius
[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]
Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?
Answer:
1they are 15 kilometers apart
The hypotenuse of a right triangle is 5m long. The shorter leg is 1m shorter than the longer leg. Find the side lengths of the triangle.
Answer:
Longer Leg = 5
Shorter Leg = 144
Hypotenuse = 169
Step-by-step explanation:
Ann has several sources of income. Which would not be considered earned income?
O 3% commission on all sales
O $800,00 per month salary
$2500.00 she earned developing websites in her spare time
O $300,00 per month child support
Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?
Answer:
765
Step-by-step explanation:
1)4.25/100=0.0425
2)0.0425*3600=153
3)153*5=765
Convert 2 yards to centimeters. Round to the nearest whole
centimeter.
Answer:
183 centimeters
Step-by-step explanation:
2 multiply the length value by 91.44
decomponha o número 52.489
Answer:50.000+2000+400+80+9
Step-by-step explanation:
Answer:
50.000 + 2.000 + 400 + 80 + 9
Find the number of steel ball bearings, each of diameter 0.7 cm, which can be made from 1 kg of steel, given that 1 cm' of steel has a mass of 7.85 g.
Answer:
707.7, or 707
Step-by-step explanation:
0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413
Answer equation in photo, show work please and thanks
Answer:
19
Step-by-step explanation:
There are 38 points total, each field goal is 2 points.
If we do 38/2 we get 19.
Image has work...
[tex]\frac{38}{2}[/tex]
Choose the equation of the the ellipse shown in the graph.
Answer: A
Hello,
Step-by-step explanation:
center =(-3,1)
a=2
b=7
[tex]\dfrac{(x+3)^2}{4} +\dfrac{(y-1)^2}{49} =1\\\\or\\\\49*(x+3)^2+4(y-1)^2=14^2\\\\Answer\ A\\[/tex]
The radius of a circle is 4.0 millimeters. Find the diameter,
??
i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ♀️
Answer:
Step-by-step explanation:
The answer is actually
Let:
S=1+2+3+4+5+6+7+8+9+n
We know the answer to the following infinite sum:
S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2
We can therefore solve for this sum:
S3=1-2+3-4+5-6+7-8+9-....
We add them:
S3= 1-2+3-4+5-6+7-8...
S3= +1-2+3-4+5-6+7-8...
________________
2S3= 1-1+1-1+1-1+1-1+1-....
Therefore:
2S3=S2=
un automóvil a recorrido 640 km a velocidad constante 4 horas Cuál es la velocidad del automóvil
Answer:
2,560
Step-by-step explanation:
necesitas sumar 4 veces 640 o multiplicar 4×640
342,475 plus 71,925
Thank you
Answer:
414,400
Step-by-step explanation:
[tex]342.475 + 71.925[/tex]
[tex] = 414.400[/tex]
(20 points) please help
Answer: The antonym of multiply is divide.
Answer:
Divide
Step-by-step explanation:
Antonym simply means the opposite of the given word.
So the opposite of multiplication is division thus division is the answer.
HOPE THIS HELPED
Que costaría más comprar una vaca o comprar hamburguesas de 1€ hasta igualar a una vaca.
Answer:
haha pues cuesta mas las hamburgesas porque toca ir al doctor despues
Step-by-step explanation:
Perry uses 12 milliliters of honey in his honey lemon dressing . He makes just enough dressing for 4 salads he puts the same amount on each salad .how much honey is on each salad ASAPPPPP
The amount of honey he use for each salad is : 12 / 4 = 3 (milliters)
SO he used 3 milliters on each salad
Mark as Brainliest If the answer is helpful!
Keisha bought these supplies for school:
4 packs of pencils that cost $0.85 each
6 packs of pens for $1.25 each
5. What was the total cost of the pencils and pens, including a 6% tax?
A
$13.35
B
$10.90
C
$11.55
D
$2.23
.
Answer:
C. $11.55
Step-by-step explanation:
First, multiply 4 by $0.85 to get an answer of $3.40. Next, multiply 6 by $1.25 to get an answer of $7.50. Add up the cost of the pencils and pens by adding $3.40 and $7.50 to get $10.90. Next, we have to add the tax. Multiply $10.90 by 0.06 to get $.65. Add the $.65 to the $10.90 for a grand total of $11.55. Hope this helps!
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?
Answer:
The second number line would be represented by the equation
1- Operations with Fractions
2 1/2 - 5/3
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{5}{6}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2} -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Help!
Which expression is equivalent?
On edge
Answer: Choice B
[tex]x^{1/8}y^{8}[/tex]
======================================================
Explanation:
The two rules we use are
[tex](a*b)^c = a^c*b^c[/tex]
[tex](a^b)^c = a^{b*c}[/tex]
When applying the first rule to the expression your teacher gave you, we can say that:
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]
Then applying the second rule lets us say
[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]
Therefore,
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]
-------------
In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
Mr. Thompson's sixth grade class is competing