Answer:
$66.42
Step-by-step explanation:
you have to multiply $3.96 by 18
It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their meantime was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude (use the .05 level)?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
Step-by-step explanation:
From the question we are told that
The average time taken is [tex]\mu = 2.5 \ seconds[/tex]
The sample size is [tex]n = 30[/tex]
The sample mean is [tex]\= x = 2.7 \ seconds[/tex]
The standard deviation is [tex]\sigma = 1.4 \ seconds[/tex]
The null hypothesis is [tex]H_o: \mu = 2.5[/tex]
The alternative hypothesis is [tex]H_a : \mu > 2.5 \ seconds[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 2.7 -2.5 }{ \frac{1.4}{ \sqrt{30} } }[/tex]
=> [tex]z = 0.7825[/tex]
From the z table the area under the normal curve to the right corresponding to 0.7825 is
[tex]p-value = P(Z > 0.7825 ) = 0.21696[/tex]
So from the question we see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which expressions can represent the length and width of the garden? length = x2 – 3 feet; width = 2 feet length = 2x + 3 feet; width = x – 2 feet length = 2x + 2 feet; width = x – 3 feet length = 2x – 3 feet; width = x + 2 feet
D is the correct answer!
Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!
The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.
Area of a rectanglearea = lwwhere
l = length
w = width
Therefore,
area = 2x² + x – 6
Let's factorise
2x²- 3x + 4x - 6
x(2x - 3) + 2(2x - 3)
Therefore,
(x + 2)(2x - 3)
Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.
learn more on rectangle here: https://brainly.com/question/2605457
Which ratio of the lines' slopes equals 1/2
Answer:
[tex]\frac{a}{b}[/tex]
Step-by-step explanation:
For this problem, if we really wanted to be precise, we could go through and do the slope equation for all of the lines. However, this graph is clear enough that we can just count the points.
On line A, we can just follow the line and see that the slope is -1 because each point goes down 1 and over 1.
Line B has a slope of -2. It goes down 2 and over 1.
Line C has a slope of 2; up 2 and over 1.
If we look at our three slopes, -1, -2, and 2, we can see that the only way for the ratio to be 1/2 is for line A over line B. This is because a negative over a negative is a positive.
Hope this helps!
The carter family budgets a total of 2,700 for a ski vacation in Colorado if they plan to go spend 275$ per day and 1,000 on meals about how many days n can the carter family go on vacation ?
Answer:
275n + 1000 = 2700
They will go 6 days on vacation.
Step-by-step explanation:
Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:
1000 + 275n = 2700
275n = 2700 - 1000
n = 1700/275
n = 6.18
Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.
Express the area of the entire rectangle
Answer:
21x^4+56x^3+49x^2
Step-by-step explanation:
You need to multiply 7x^2 to each side (aka 7x^2*3x^2) and once you have each multiple you will add them all together. <3
Elena has $80 in a savings account. The interest rate is 5% per year and 1 point
is not compounded. How much Interest will she have in 2 years?
Which expression is equivalent to 2(3x+4)(x−1)(x−3)?
A
6x3−16x2−14x+24
B
6x3−4x2−34x−24
C
3x3−8x2−7x+12
D
6x3+20x2−2x−24
Answer:
A
Step-by-step explanation:
=(2(3x+4)(x−1))(x+−3)
=(2(3x+4)(x−1))(x)+(2(3x+4)(x−1))(−3)
=6x3+2x2−8x−18x2−6x+24
=6x3−16x2−14x+24
After solving the given expression, the equivalent expression will be equal to 6x³ - 16x² - 14x + 24.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given expression in the question,
2(3x+4) (x−1) (x−3)
(6x + 8) (x² -3x - x + 3)
6x³ - 18x² - 6x² + 18x + 8x² - 24x - 8x + 24
Now, collect similar terms and add them,
6x³ - 16x² - 14x + 24
To know more about arithmetic operations:
https://brainly.com/question/25277954
#SPJ2
Help please this is urgent
Answer:
2 5/6 below (2 feet and five-sixth)
Step-by-step explanation:
I can explain in comments
54 ÷ 6 x (12-4) + 2 =
Answer:
3
Step-by-step explanation:
1. 54÷6 =9
2. (12-4)=8
3. 9-8 = 1
4. 1+2 = 3
5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator
Answer:
a=72[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
56/6*(12-4)+2=n
56/6*8+2-2=n-2
56/6*8/8=(n-2)/8
x=9[tex]\frac{1}{3}[/tex]
x=(n-2)/8
y=74[tex]\frac{2}{3}[/tex]
y=n-2=a
a=72[tex]\frac{2}{3}[/tex]
send helpppppppppppp
Answer:
right bottom
Step-by-step explanation:
Rusty hiked 3 3/4 miles in the morning and 2 1/4 miles in the afternoon. How much
farther did he hike in the morning than the afternoon?
Answer:
1 [tex]\frac{1}{2}[/tex] miles
Step-by-step explanation:
Convert 3 [tex]\frac{3}{4}[/tex] and 2 [tex]\frac{1}{2}[/tex] into improper fractions
Subtract them like a regualr equation
[tex]\frac{15}{4}[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{6}{4}[/tex]
Convert [tex]\frac{6}{4}[/tex] into a mixed number to get 1 [tex]\frac{1}{2}[/tex]
Need answers for 5 and 6 please it’s algebra math hurry please
ASAP PLS HELP DUE TODAY. WILL GIVE BRAINLIEST IF A GOOD ANSWER EXPLENATION AND CORRECT ANSWER
Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.
Select one:
a.
7 + (−8)
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.
b.
7 + 8
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
c.
7 − (−8)
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
d.
8 − 7
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.
Answer:
[tex]7 + (-8)[/tex]
Step-by-step explanation:
Given
[tex]7 - 8[/tex]
(a): Write as additive inverse.
An additive inverse is of the form a + (-b)
In this case:
[tex]a = 7[/tex]
[tex]b = -8[/tex]
So, the expression can be represented as:
[tex]7 + (-8)[/tex]
(b): Number line representation
When the expression in (a) is solved.
The result is:
[tex]7 - 8 = 7 + (-8) = -1[/tex]
This means that the number line must accommodate 7 and -1.
Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.
Option (d) is a wrong representation of [tex]7 - 8[/tex]
Hence, (a) is correct
Your uncle purchases a $25,000 car this year. The car depreciates in value by 20% per year.
a) Write an exponential equation for the value of the car.
b) Use your equation to find the value of the car in 10 years.
c) When will the car be worth $10,000? Solve an equation with logarithms and show your work.
Answer:
b
Step-by-step explanation:
I need help...........
Which statements are true about ABCD? Select all that apply.
A ZABC=CDA
B.BD I AC
C.BE=ED
D. m2ABC + m2BCD = 180°
E. AB=CD
Statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
The two opposing sides are equal and parallel. The opposing angles line up evenly. The following or neighboring angles are extra. Every angle will be at a right angle if one of the other angles is even.
A parallelogram has equal opposite angles (or congruent) Angles that are next to one another are said to be consecutive (that means they add up to 180 degrees)
The true identities are,
AB=CD
m∠ABC + m∠BCD = 180°
Thus, statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.
Learn more about the parallelogram here:
brainly.com/question/1563728
#SPJ5
explain how to evaluate f(g(0)).
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
==================================================
Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
If a number is not divisible by 10, can it be divisible by 20?
Answer:
no
Step-by-step explanation:
Answer:
No cannot
Step-by-step explanation:
Evaluate the expression 3x2+5y for x = 4 and y = 2.
I need this answer ASAP
Which situation would you describe with a negative integer?
(a)A price increase of $5
(b)A 10-yard gain in football
(c) fall of 25 feet
(d)A helicopter at 200 feet above a launching pad
35.408 in expanded form
Answer:
30+5+0.4+0.00+0.008
I hoped this helped u :)
Step-by-step explanation:
Answer:
30 + 5 +.4 + .008
Step-by-step explanation:
Didn't see a comma so I'm assuming you wanted as decimal, if I messed up tell me it's late I'm not thinking the best rn.
The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?
(A) 4.200 mi/min
B) 11.7 mi/min
C 1.17 mi/min
D 0.117 mi/min
Answer:
The answer is C
Step-by-step explanation:
70 miles 1 hour 70mh
_______ x ________ = _______ = 1.17min
1 hour 60 mh 60mh
5. Which of the following graphs represents the slope of -1/3
Answer:
A
Step-by-step explanation:
I found out bc I got the answer wrong then it gave me the right answer which is A:)
Please answer. I will mark Brainliest
A parallelogram with sides s and t has perimeter 2s+2t. Kelly is decorating the edge of her parallelogram-shaped craft table. The tabletop has sides that are 30 inches and 14.5 inches.
What is the perimeter of the tabletop?
Answer:
what grade so i can help
Step-by-step explanation:
Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
How long was each descent by meters
Answer:
Each decent was 500 meters
Step-by-step explanation:
I found the slope
Each decent was 500 meters.
What is the Slope?The slope is a line that defines the direction and the steepness. Slope is defined in many ways. Slope is also equal to tanQ additionally, slope = dy/dx
How to determine?Finding the slope :
8000/1600=5
1000/200=5.
Each decent was 500 meters.
Learn more about Slope:
https://brainly.com/question/21844913
#SPJ2
Which equation represents the rental cost of the company with the least expensive hourly rate?
Answer:
c. y = 2x + 4
Step-by-step explanation:
Hope you got it.
8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?
Answer:
iacbsc kakwc s s k kd sdidv d lm vdfj
Step-by-step explanation:
Which is greater 0.745 or 7.45
Answer:
7.45
Step-by-step explanation:
BECAUSE .745 IS ONE PLACE VALUE LOWER
CAN I HAVE BRAINLIEST PLEASE
write -12 in a and b form
Answer:
whats ur question i dont understand
Step-by-step explanation:
idu
Answer:
thanks fOr the points
Step-by-step explanation:
