Answer:
[tex]\mu_{\hat p}= 0.06[/tex]
[tex] \sigma_{\hat p}= \sqrt{\frac{0.06*(1-0.06)}{280}}= 0.0142[/tex]
And we want to find this probability:
[tex] p(\hat p <0.09)[/tex]
[tex] z = \frac{p \mu_{\hat p}}{\sigma_{\hat p}}[/tex]
[tex] z = \frac{0.09-0.06}{0.0142}= 2.114[/tex]
And we can find this probability:
[tex] P(z<2.114)[/tex]
And using the normal table or excel we got:
[tex] P(z<2.114)= 0.9827[/tex]
Step-by-step explanation:
For this case we have the following info given:
[tex] n = 280[/tex] represent the sample size
[tex] p =0.06[/tex] represent the true proportion
The sample proportion can be approximated with this distribution:
[tex] \hat p \sim N (p ,\sqrt{\frac{p(1-p)}{n}})[/tex]
The mean is given by:
[tex]\mu_{\hat p}= 0.06[/tex]
And the deviation is given by:
[tex] \sigma_{\hat p}= \sqrt{\frac{0.06*(1-0.06)}{280}}= 0.0142[/tex]
And we want to find this probability:
[tex] p(\hat p <0.09)[/tex]
And we can use the z score formula given by:
[tex] z = \frac{p \mu_{\hat p}}{\sigma_{\hat p}}[/tex]
And replacing we got:
[tex] z = \frac{0.09-0.06}{0.0142}= 2.114[/tex]
And we can find this probability:
[tex] P(z<2.114)[/tex]
And using the normal table or excel we got:
[tex] P(z<2.114)= 0.9827[/tex]
A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?
Answer:120 1/6 feet sq.
Step-by-step explanation: Area of a rect. = length×breadth(width)
Area=12 1/2× 10 1/3
Area= 120 1/6
Please rate 5 stars and vote as brainliest:)
(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)
Using the image of ⊙O to find the value of x, y and z.
Answer:
x = 30°
y = 60°
z = 96°
Step-by-step explanation:
Well the angle from the center that intercepts 120° is equal to 120° since it is a central angle.
y = 60° because oof supplementary angles.
The measure of z is 48 * 2 because the 48° is an inscribed angle.
z = 96°
And, the arc that angle y intercepts is also the arc the x intercepts.
That arc is 60° because 180° - 120° = 60°
x is an inscribed angle, so x = 1/2 * 60°
x = 30°
Hope this helps.
About 10% of the population is left-handed. Use that statistic to answer the questions below.
Answer:
What is the question?
Step-by-step explanation:
The product of 2 and 8 divided by 8 is equal to?
Answer:
2
Step-by-step explanation:
product of 2 and 8= multiply
2x8=16
Divide by 8
16/8=2
1. Michael rented a car for one day at a daily rate of $42. He also had to pay
$0.55 per mile driven, but there were no other fees. If Michael returned the.
car at the end of the day and paid $114.60, how many miles did he drive? *
Answer:
132 Miles
Step-by-step explanation:
First you must subtract $42 from $114.60.
[tex]114.60 - 42 = 72.6[/tex]
Then, you need to divide $0.55 by $72.6.
[tex]72.6 \div 114.60 = 132[/tex]
Hope this helped! :)
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 564 randomly selected adults showed that 56% of them would erase all of their personal information online if they could. Find the value of the test statistic.
Answer:
The value of z test statistic is 2.871.
Step-by-step explanation:
We are given that a software firm survey of 564 randomly selected adults showed that 56% of them would erase all of their personal information online if they could. Find the value of the test statistic.
Let p = population proportion of adults who would erase all of their personal information online if they could.
So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 50% {means that adults who would erase all of their personal information online if they could is less than or equal to 50%}
Alternate Hypothesis, [tex]H_A[/tex] : p > 50% {means that majority of adults would erase all of their personal information online if they could}
The test statistics that would be used here One-sample z test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of adults who would erase all of their personal information online if they could = 56%
n = sample of adults taken = 564
So, the test statistics = [tex]\frac{0.56-0.50}{\sqrt\frac{0.56(1-0.56)}{564} {} }[/tex]
= 2.871
The value of z test statistic is 2.871.
If 15+3x=3(2−2x), then x= [blank]
Answer:
x = -1
Step-by-step explanation:
15+3x=3(2−2x)
Distribute
15+3x = 6 -6x
Add 6x to each side
15+3x+6x = 6-6x+6x
15+9x = 6
Subtract 15 from each side
15-15+9x = 6-15
9x = -9
Divide by 9
9x/9 = -9/9
x = -1
I need help please and thank you
Answer:
A
Step-by-step explanation:
Here you can check by trying points along the number line that are not included in the other number line. For example, x = -3 is included in A but not in B and x = -5 is included in B but not in A.
If x = -3, the inequality 5x > -20 is true because -15 > -20.
If x = -5, the inequality 5x > -20 is false because -25 is not > -20.
There for the answer should include x = -3 and not include x = -5, so A.
.Select the three ratios that are in simplest form.
4/9
11/13
6/5
14/21
Answer:
4/9, 11/13, 6/5
Step-by-step explanation:
if f(x) =6x-4 what is f(x) when x=8
Answer:
it's 44
Step-by-step explanation:
6(8) - 4
48 - 4
44
a is 100% more than b.
Which of these shows the ratio a:b?
2:1
100:1 1:100
1:2
A
B
C
D
Answer:
2-1=1 so A. is 100% more than B because A is 2 times bigger than B.
A. is the answer 2:1
Hope this helps
Step-by-step explanation:
The option that shows the ration A: B is Option C - 1:2. See the rationale below.
How to compute the aboveIf A is 100% more than B, it means that A is equal to B plus 100% of B. In other words, A is twice the value of B.
Therefore, the ratio of A to B is 1:2, indicating that A is twice as much as B.
Recall that a ratio is a quantitative relationship between two or more quantities, indicating how many times one quantity is contained or repeated in relation to another quantity.
It is expressed as a fraction or with a colon (:), representing the relative comparison of the quantities.
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Which is true of the number 55,555?
A.Each digit has a value less than the value of the digit to its right and greater than the value of the digit to its left.
B.Each digit has a value 10 times the value of the digit to its right and 10 times the value of the digit to its left.
C.Each digit has a value 110 of the value of the digit to its right and 10 times the value of the digit to its left.
D.Each digit has a value 10 times the value of the digit to its right and 110 of the value of the digit to its left.
Answer:
D. Each digit has a value 10 times the value of the digit to its right and 1/10 of the value of the digit to its left
Step-by-step explanation:
Digits increase in value by a factor of 10 for each place you move to the left. Hence a digit to the right has 1/10 the value.
_____
Comment on place value
The multiplier for a base-10 (decimal) number system is 10 as you move one place to the left. In some other base, the multiplier is that base. In a binary (base-2) number system, each "bit" increases in value by a factor of 2 as you move to the left.
Therefore, the "Choice D" is the only correct answer.
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40 POINTS URGENT PLEASE HELP
a.) $385
b.) $430
c.) $444
d.) $480
Answer:
The amount of loan ($20000) after 48 months with 1.5% (0.015) interest rate is calculated by:
A = 20000 x (1 + 0.015/12)^48
= 21235.94$
Monthly payment of Grace is calculated by:
M = A/number of month
= 21235.94/48 = 442.4 = ~444$
Hope this helps!
:)
P.S: I did try the amortization formula, but something wrong with my calculator. I used other formula instead :)
Seemas little sister is now 5 years old.if Her age is 2 years more than 1/4 of seemas age, how old is seems
Answer:
12
Step-by-step explanation:
Seema’s little sister is 2 years more than ¼ of Seema’s age, so you should subtract 2 from 5 to find ¼ of Seema’s age. If 3 is ¼ of Seema’s age, all you do is multiply it by 4 to get the original number. 3x4 is 12, so the final answer is that Seema is 12.
A rectangular vegetable patch has an area of 56 square meters and a
perimeter of 30 meters. What are the dimensions of the vegetable patch?
meters by
meters
Answer:
The dimensions of the vegetable patch is 8 m by 7 m.
Step-by-step explanation:
Area of a vegetable patch is 56 square meters and the perimeter is 30 m.
If l is length and b is breadth, then area and perimeter of a rectangle is given by :
[tex]A=l\times b[/tex]
[tex]P=2(l+b)[/tex]
Substituting the values in the above formulas as :
[tex]l\times b=56\ ....(1)[/tex]
and
[tex]2(l+b)=30\\\\l+b=15\ .....(2)[/tex]
We need to solve equation (1) and (2) to find the values of l and b such that :
Equation (2), l = 15 - b
Equation (1) becomes,
[tex](15-b)b=56\\\\b=7\ m, 8\ m[/tex]
If b = 7 m, so, l = 8 m
If b = 8 m, l = 7 m
So, the dimensions of the vegetable patch is 8 m by 7 m.
A line passes through the point (4,-6) and has the slope of -3/4. Which is the equation of the line? y=-3/4x-3 y=-3/4x-6 y=-3x-3/4 y=-6x-3/4
Answer:
hope this helps you
Three friends equally share 1/2 of a pizza how much of the pizza does each friend get
The answer to this problem is 1/6.
The share of the pizza each friend will have is 1 / 6.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that three friends equally share 1/2 of a pizza. The fraction of the pizza shared by each friend will be:-
Fraction of pizza = ( 1 / 2 ) x ( 1 / 3 )
Fraction of pizza = ( 1 / 6 )
Therefore, the share of the pizza each friend will have is 1 / 6.
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1
2
Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is
true?
Arionna is correct because there are 3 feet across the length of a cubic yard and 3 feet across the depth of a cubic yard.
3x3-9
Arionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard length, depth, and height
3x3-9
Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion wil
remain constant
Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3ft, 3x3ft
A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft
Helppppp
Answer:
Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.
Step-by-step expArionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.
lanation:
Answer:
The short answer you are looking for is C!
Step-by-step explanation:
I hope you all live a long prosperous life, I wish that you and your family live long and happy, I hope that you will all get through this pandemic and get good flying grades! god bless you if you read this to the end, I love you. ʕっ•ᴥ•ʔっ <3
What are the domain and range of g(x)=−14(x−21)2+47?
Answer:
Step-by-step explanation:
Let's solve for g.
gx=(−14(x−21))(2)+47
Step 1: Divide both sides by x.
gx
x
=
−28x+635
x
g=
−28x+635
x
Answer:
g=
−28x+635
x
Work out the volume of this cylinder.
Give your answer rounded to the nearest whole number.
image will be provided shortly
Answer:
24618 mm^3
Step-by-step explanation:
V = pi r^2 h
We know the diameter
r = d2/ = 28/2 = 14
V = pi (14)^2 (40)
Approximating pi to 3.14
V = (3.14 ) 14^2 *40
V =24617.6
Rounding to the nearest whole number
V = 24618
Andrea got 3 times as much candy than Stacy.If Stacy and Andrea got 28 pieces,how many pieces did Andrea get?
Answer:
Step-by-step explanation:
28x3=84
Answer:
The answer is 84
Because 28x3=84
Please do it on a piece of paper if possible <3
Simplify the square root of 18
Answer: [tex]3\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{18}[/tex] = [tex]\sqrt{3*6}[/tex] = [tex]\sqrt{3*3*2}[/tex] = [tex]\sqrt{3^{2}*2 }[/tex] = [tex]3\sqrt{2}[/tex]
In circle G, r = 3 units. Maria draws a circle with double the area of circle G.
What is the area of Maria’s circle?
Answer:
The answer 28.27 *2 = 56.54
Step-by-step explanation:
A= πr^2
The area of Maria's circle, which is double the area of circle G is: 56.52 sq. cm.
What is the Area of a Circle?Area of a circle = πr²r = radius of the circleGiven:
Radius (r) of circle G = 3 units
Area of circle G = π(3²) = 28.26 sq. units.
Area of Maria's circle = 2(area of circle G)
Therefore:
Area of Maria's circle = 2(28.26)
Area of Maria's circle = 56.52 sq. cm.
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Robin is 11 years old. Her mother, Gwen, is 2 years more than 3 times Robin’s age. How old is Gwen?
Answer:
35 years old.
Step-by-step explanation:
To find the age of Gwen, multiply Robin's age, which is 11, by 3, which gives you 33. Then add two to 33 to get Gwen's age, which is 35 years.
Answer:
Gwen is 35 years old
Step-by-step explanation:
In order to understand the word problem better, I turned it into and equation.
Since Gwen is 2 years older than 3 times Robins age, the equation would be:
Gwens age = (3 • Robins age) + 2
G = (3 • 11) + 2
G = (33) + 2
G = 35
So Gwen is 35 years old.
1. Solve the equation for x.
6 = -8
X =
(Use the value of x in the sum )
Answer:
The equation does not have a variable
Step-by-step explanation:
6=?-8
Answer: The equation does not have a variable to solve for x
Hope this helps.
Answer:
6÷8=0.75
Step-by-step explanation:
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Get 14 points, Plz help me with this question, and give the right answer cause it's important
All angles are of triangle and thus give sum of 180⁰
x + 5 + 7x - 5 + x = 180⁰
9x = 180⁰
x = 20⁰
Answer:
it's 20
Step-by-step explanation:
(X+5)° + (7x-5)° + x°= 180° { sum of the three angles of the triangle is 180°}
X+5+7x-5+X = 180
X+7x+X+5-5= 180
9x+0 = 180
9x = 180
therefore X= 180/9
= 20
How many cubes with side lengths of 1/2 does it take to fill the prism? The prism has dimensions of 1, 2, and 2 1/2 cm
Answer:
The volume of the cube is 1/2 x 1/2 x 1/2 = 1/8
length x width x height = volume
1x2x2.5=5
2 1/2 = 2.5 because 1/2=0.5
to divide fractions multiply the reciprocal. The reciprocal is the fraction flipped over
5 / 1/8 = 5 x 8/1
5x8/1=40
40 cubes
Step-by-step explanation:
Complete parts ​(a) through ​(c) below. ​(a) Determine the critical​ value(s) for a​ right-tailed test of a population mean at the alphaequals0.05 level of significance with 15 degrees of freedom. ​(b) Determine the critical​ value(s) for a​ left-tailed test of a population mean at the alphaequals0.10 level of significance based on a sample size of nequals10. ​(c) Determine the critical​ value(s) for a​ two-tailed test of a population mean at the alphaequals0.05 level of significance based on a sample size of nequals13.
Answer:
a) [tex] t_{\alpha}= 1.753[/tex]
b) [tex] t_{\alpha}= -1.383[/tex]
c) [tex] t_{\alpha/2}= \pm 2.179[/tex]
Step-by-step explanation:
Part a
For this case we know that the degrees of freedom are:
[tex] df = 15[/tex]
And we want a right tailed test so then we need to find in the t distribution with degrees of freedom =15 a critical value who accumulate 0.05 of the area in the right and we got:
[tex] t_{\alpha}= 1.753[/tex]
Part b
For this case the significance is [tex]\alpha=0.1[/tex] the degrees of freedom are:
[tex] df = n-1= 10-1=9[/tex]
And since is a left tailed test the critical value for this case would be:
[tex] t_{\alpha}= -1.383[/tex]
Part c
For this case the significance is [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] the degrees of freedom are:
[tex] df = n-1= 13-1=12[/tex]
And since is a two tailed test the critical values for this case would be:
[tex] t_{\alpha/2}= \pm 2.179[/tex]
In a restaurant there are 8 starter 15 main dishes 9 dessert Jane is going to choose one of the following how many different ways are there for her to choose
Answer:
1335
Step-by-step explanation:
Starter + Main = 8 x 15 = 120
Main + Dessert = 15 x 9 = 135
Starter + Main + Dessert = 8 x 15 x 9 = 1080
120 + 135 + 1080 = 1335 possibilities
Answer:
Step-by-step explanation:
STARTER + MAIN:
8 x 15 = 120
MAIN + DESSERT:
15 x 9 = 135
STARTER + MAIN + DESSERT:
8 x 15 x 9 = 1080
120 + 135 + 1080 = 1335 possibilites