Answer:
g(x)= ((x+4)^2) -2
Step-by-step explanation:
...............
Answer:
Step-by-step explanation:
Construct the indicated confidence interval for the difference in proportions. Assume that the samples are independent and that they have been randomly selected.A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference in the proportions of New Yorkers and Californians who knew the product.
Answer:
CI 99% = ( - 0.0009 ; 0.0541 )
Step-by-step explanation:
Sample 1 New Yorkers
sample size n₁ = 558
x₁ = 193
p₁ = x₁/n₁ = 193/ 558 p₁ = 0.3458 q₁ = 1 - p₁ q₁ = 1 - 0.3458
q₁ = 0.6542
Sample 2 Californians
sample size n₂ = 614
x₂ = 196
p₂ = x₂/n₂ = 196 / 614 p₂ = 0.3192 q₂ = 1 - p₂ q₂ = 1 - 0.3192
q₂ = 0.6808
CI 99 % means significance level α = 1 αα% α = 0.01
α/2 = 0.005
In z-table we look for z score for 0.005 z (c) = 2.57
CI 99 % = [ ( p₁ - p₂ ) ± z(c) * √( p₁*q₁)/n₁ + ( p₂*q₂)/n₂
p₁ - p₂ = ( 0.3458 - 0.3192 ) = 0.0266
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ =√ 0.3458*0.6542)/558 + 0.3192*0.6808)/614
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ = √ 4.05*10⁻⁴ + 3.54 * 10⁻⁴
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ = 10⁻² * √7.59 = 10⁻² * 2.75
Then:
CI 99 % = 0.0266 ± 2.75 * 10⁻²
CI 99% = 0.0266 ± 0.0275
CI 99% = ( - 0.0009 ; 0.0541 )
Help me find the volume of the figure.
Answer:
Step-by-step explanation:
since it is a cuboid use this formula
volume of a cuboid=l*w*h
=2*8*3
Solving a word problem involving rates and time conversion
A car travels at an average speed of 52 miles per hour. How long does it take to travel 247 miles?
Answer:
It takes 4.75 hours(4 hours and 45 minutes) to travel 247 miles.
Step-by-step explanation:
This question is solved by rates, using a rule of three.
52 miles in one hour. How many hours for 247 miles?
1 hour - 52 miles
x hours - 247 miles
Applying cross multiplication:
[tex]52x = 247[/tex]
[tex]x = \frac{247}{52}[/tex]
[tex]x = 4.75[/tex]
It takes 4.75 hours = 4 hours and 3/4*60 = 45 minutes to travel 247 miles.
PLEASE PLEASE HELP I will give BRAINLIEST
Anthony deposits 1,250 in a savings account with an interest rate of 6% if the Interest rate is compounded monthly than the account balance after t years is given by the expression below 1250(1+0.06/12)^12t what does (1+0.06/12t) represent
(nevermind srry, that was wrong)
Answer: represents the growth factor which reveals the monthly interest rate.
Step-by-step explanation:
Anthony's account balance can be modeled by the general compound interest formula shown below, where P is the initial amount, r is the annual interest rate, n is the number of times that the interest in the account is compounded per year, and t is the time period.
Consider the given expression.
1250(1+0.06/12)^12t
In the given expression, "1" represents 100% of the money in the account at the start of the month and "" represents the percentage of the account balance that gets added into the account at the end of each month. This is the monthly interest rate and the entire expression,(1+0.06/12t) , is the factor of growth.
Therefore, (1+0.06/12t)represents the growth factor which reveals the monthly interest rate.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
18y – 3.x = -90
Answer:
Step-by-step explanation:
Sarah jogged 4.8 miles each day for 22 days last month. How many miles did Sarah jog in total?
Answer:
105.6
hope this helps
have a good day :)
Step-by-step explanation:
Find the length of side b
B= _m
Answer:
b= 0.09475
Step-by-step explanation:
5/14 x 7/30 in its simplest form
Answer:
Step-by-step explanation:
1/12
A semi-circle is connected to an isosceles triangle. The radius of the semi-circle is 2 inches, and the height of the triangle is 6 inches. Find the area of the composite figure.
Answer:
18.28 sq inches
Step-by-step explanation:
the area of the composite fig. =
(½×3.14×2²)+(½×4×6)
= 6.28 + 12 = 18.28
Determine whether the statement is always, sometimes, or never true. Lines AB, CD, and EF determine plan P. If GH intersects AB, then GH lies on plan P.
=======================================================
Explanation:
The plane P can be thought of a perfectly flat ground. Now imagine a flag pole which represents line GH. If AB is drawn in chalk on the pavement, and this line AB intersects the base of the flagpole, then we've made AB and GH intersect. However, this example shows that GH is not on the plane P.
Is it possible to have GH be in the the plane? Yes. We could easily draw another chalk line on the ground to have it intersect AB somewhere. But as the previous paragraph says, it's also possible that GH is not in the plane.
Therefore, the statement is sometimes true
write equation of the line containing the points (1,2) and (3, 4)
Answer:
y = x + 1
Step-by-step explanation:
Answer:
y = x + 1
Step-by-step explanation:
(1,2) and (3, 4)
y = mx + b
y = x + 1
thanks
Jessica's teacher asked her to divide 5/8 of the box of crayons
among 10 classmates. How much of a box of crayons did
each one receive?
Answer:
Each classmate received 1/16
Step-by-step explanation:
5/8= 0.625
0.625 ÷ 10 = 0.0625
= 1/16
Find the sum of the geometric series if n=6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 8(1-1/4096)/3= 2.67
You have at most 8 hours to spend at a concert and at park. You want to spend at least 3 hours at the concert and more than 4 hours at the park.
Solve 2x^2
+ x - 4= 0.
x2 +
= 0
DONE
[tex]\\ \sf\longmapsto 2x^2+x-4=0[/tex]
[tex]\\ \sf\longmapsto 2x^2+x=4[/tex]
[tex]\\ \sf\longmapsto 8(2x^2+x=4)[/tex]
[tex]\\ \sf\longmapsto 16x^2+8x=32[/tex]
[tex]\\ \sf\longmapsto (4x)^2+2(4x)(1)=32[/tex]
[tex]\\ \sf\longmapsto 4x^2+2(4x)(1)+1^2=32+1^2[/tex]
[tex]\\ \sf\longmapsto (4x+1)^2=33[/tex]
[tex]\\ \sf\longmapsto 4x+1=\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto 4x=-1\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-1\pm\sqrt{33}}{4}[/tex]
pleace helppp meeeee
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Answer:.
Step-by-step explanation:
Answer:
Step-by-step explanation:20/29
Cindy buys a boat for $15,000. This will be a simple interest
loan at 5.5% for 10 years. What is the interest on the loan?
Answer:
$8,250
Step-by-step explanation:
I = prt
I = ($15,000)(0.055)(10)
I = $8,250
The interest on the loan is $8250.00
The formula for determining simple interest is : loan amount x time x interest rate
Loan is the amount of money that Cindy borrowed. It is $15,000
interest rate = 5.5%
Time is the length of period of the loan. This is 10 years
$15,000 X 0.055x 10 = $8250
To learn more about simple interest, please check: https://brainly.com/question/9352088?referrer=searchResults
4. A room has 20 seats - some are stools and some are chairs. Each stool has 3 legs and each chair has 4 legs.
Altogether there are 68 legs.
How many
stools are there?
Answer:
There are 12 stools in the room
Write a sine function that has a midline of 4, an amplitude of 2 and a period of 5
571
Choose the three rectangular prisms that have a volume of 24 cm3.
= 1 cm
A.
D.
E.
Answer: I think is A, D, E
Step-by-step explanation:
Find the area of square that can be inscribed in circle of radius 8cm
Answer:
A≈201.06cm²
Step-by-step explanation:
Which equation can be used to find the length of the missing side x?
help MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
using pythagoras theorem formula
a^2+b^2=c^2
19^2+52^2=c^2
361+2704=c^2
[tex]\sqrt{3065}[/tex]=c
55.36=c
55=c
question in image attached
can someone answer this!?
Answer:
x = 58
Step-by-step explanation:
Hope this helps
enjoy
Answer:
the answer is d because that is how much degrees it is
Step-by-step explanation:
Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
(with full working)
9514 1404 393
Answer:
0.33 litres
Step-by-step explanation:
If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...
3(m +0.07) +4m = 2.52
7m +0.21 = 2.52 . . . . . . . . simplify
7m = 2.31 . . . . . . . . . . . . . subtract 0.21
m = 0.33 . . . . . . . . . . . . . divide by 7
Each mug can hold 0.33 litres.
In ΔABC, the measure of ∠C=90°, BC = 16 feet, and AB = 48 feet. Find the measure of ∠B to the nearest tenth of a degree.
Answer:
70.5º
Step-by-step explanation:
cosB = adj/hyp
cosB = 16/48
cosB = 1/3
B = arccos 1/3
Use calculator
∠B = 70.5º
Which value of x makes the equation 2+4(6-2x)= 8 true?
Answer:
Step-by-step explanation:
2+4(6-2x)=8
2+24-8x=8
26-8x=8
26-8=8x
18/8=x
2.25=x
substitute the value of x
2+4(6-2x)
2+4(6-2*2.25)
2+6
8
therefore 8=8 so it is true
Answer:
Did this about a year ago but you should try math-way it gives the correct answers, and if you by any chance are doing ap ex go to those online tutors. You decide if it's camera on or off. Sorry I couldn't help more, it's been a while.
easy question.
Solve the inequality -5x<40
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-5x < 40}[/tex]
[tex]\large\text{DIVIDE -5 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-5x}{-5}<\dfrac{40}{-5}}[/tex]
[tex]\rm{CANCEL\ out: \dfrac{-5}{-5} \ because\ that \ gives\ you\ 1}[/tex]
[tex]\rm{KEEP: \dfrac{40}{-5}\ because \ that \ gives \ you \ what \ you \ are\ comparing}\\\\\rm{to \ the \ x-value}[/tex]
[tex]\mathsf{\dfrac{40}{-5}=\boxed{\bf -8}}[/tex]
[tex]\mathsf{x > -8}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \large \bf x }\bf > \large\textsf{\bf -8}}}\huge\checkmark[/tex]
[tex]\boxed{\large\textsf{IT is an O(P)(E)(N)(E)(D) circle shaded to the right}}[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
what is the ratio?
please answer quickly!!!!!
Answer:
3:1
Step-by-step explanation:
If you look at the sides, they all have the same factor of three, and dividing by three gets you to the smaller rectangular prism.