Answer:
-6 < y < ∞
Step-by-step explanation:
The range is the value of the output, in this case the value of y
The value is from -6 not including -6 to infinity
-6 < y < ∞
Answer:
C. from -6 to infinity
Step-by-step explanation:
The range is the set of the y-coordinates of the points of the function.
The lowest value of y is -6 or just greater than -6.
All values greater than y are also part of the range.
Answer: Choice C. from -6 or just greater than -6 to infinity
An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 steps per day (and 65% of Americans are overweight). A group of health-conscious employees of a large health care system volunteered to wear pedometers for a month to record their steps. It was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps. At = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day?
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.
Standard deviationGiven that it was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps, to determine if at = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day the following calculation must be made:
5430 = 100600 = X600 x 100 / 5430 = X60000 / 5430 = X11.04 = XTherefore, since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.
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Find X to the nearest tenth
A 14.4
B 4.8
C 1.7
D 9.4
Answer:
Step-by-step explanation:
The 2 smaller triangles are proportionate to one another because they are 2 parts of the same larger triangle. Setting up the proportion, one triangle at a time:
[tex]\frac{x}{8.3} =\frac{11.6}{6.7}[/tex] and cross multiply to get
6.7x = 96.28 so
x = 14.37 or 14.4, choice A.
I really need help!! I don't get this could someone help me?
Answer:
Side a is 35/5=7 inches long
Side b is 30/5=6 inches long
Side c is 15/5=3 inches long
Angela bought 10 stamps that cost $1 or $1.20.
Altogether, her total was $11. How many of each $1 stamps and how many of
each $1.20 stamps did she buy?
Answer:
Let the first equation be x + y = 10
x = 10 -y
2nd equation will be 1x + 1.2y = 11
Substituting in 2nd equation
(10 - y) + 1.2y = 11
10 - y + 1.2y = 11
.2y = 1
y = 5
If y = 5, x = 5: coz x + y = 10
She have buy 5 stamps of each $1 stamps and 5 stamps of each $1.20 stamps.
What is a linear equation?
A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
Let the first equation be;
x + y = 10
x = 10 -y
2nd equation will be,
1x + 1.2y = 11
Substituting in 2nd equation;
(10 - y) + 1.2y = 11
10 - y + 1.2y = 11
0.2y = 1
y = 5
If y = 5, x = 5:
x + y = 10
Hence, She have buy 5 stamps of each $1 stamps and 5 stamps of
each $1.20 stamps.
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If HK is an altitude of triangle HIJ, IKH = (4x + 50)º, HIK = 43, and KI = x - 7, find Kl.
Plz help now plz
[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Select the ones that correctly demonstrate the operations of scientific notation
Note that more than one option may be correct. Select all the correct answers
A. (4.0 x 103)(5.0 x 105) = 2 x 10^9
B. 4.5x105/9.0x10° = 2 x 10^4
C. (2.1 x 105) + (2.7 x 105) = 4.8 x 10^5
D. (3.1 x 105) - (2.7 x 102) = 0.4 x 10^3
Answer:
A and C
Step-by-step explanation:
A. \
(4.0 x 5.0)(10^3 x 10^5)
20 x 10^8
2.0 x 10^9
B. doesn't work, do not understand last number
C.
(2.1 + 2.7) (10^5 + 10^5) since powers are the same, do not need to change anything
4.8 x 10^5
D.
(3.1 - 2.7) (10^5 - 10^2) since powers are not the same, you need to make them equal
Do not need to subtract powers, hence D is untrue
Sandpiper Sightseeing Tours purchased a new van for the business.
On the first trip, Jesse drove 2 hours at an average speed of 55 mph.
How far did Jesse travel?
Can somebody help me with this ?? :)
Answer:
Step-by-step explanation:
You need the value of one of angles. If height angle is 90°, then you have 2 90° angles. So you have 2 triangles SAS.
I hope I've helped you.
the area of polygon MNOPQR = area of a rectangle that is 15 square units + area of a rectangle that is ___ square units. (input whole numbers only, such as 8)
im not understanding too well so...please help :/
Answer:
The answer is 2.
Step-by-step explanation:
3 - 2 = 1
7 - 5 = 2
2 x 1 = 2
Please I need help, DONT SKIPP
Answer:
P(Take the bus | Sophomore) = 0.83
Step-by-step explanation:
For a conditional probability (As given in the example),
P(A|B) is read as,
"The probability of event A occurring given that event B has occurred"
Here event A = Sophomore take a bus
Event B (occurred) = (Drive to school + Take the bus + Walk)
Therefore, P(Take a bus | Sophomore) = [tex]\frac{25}{(2+25+3)}[/tex]
= [tex]\frac{25}{30}[/tex]
= 0.833
≈ 0.83
P(Take the bus | Sophomore) = 0.83 will be the answer.
Rebecca went on a 240 mile trip to a soccer game. On the way back, due to road construction she had to drive 12 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game? She drove _______ mph on the way to the soccer game.
Answer:
20mph
Step-by-step explanation:
because you have to divide 240 by 12 and the answer is 20
Find the values of a and b such that
x^2 + 3x + 4 = (x + a)^2 + b
URGENT!
*silly answers will be reported
Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:
[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]
Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.
It means that we have two equations:
[tex]3x=2ax\\4=a^2+b[/tex]
So, using the first equation and solving for a, we get:
[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]
Finally, replacing the value of a in the second equation and solving for b, we get:
[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]
b) give reasons for your answer
Answer:
80° is the correct answer
Step-by-step explanation:
The angle B is 100° because of the property of the vertically opposite angle.
As we know the property consecutive interior angle that the sum of two angle is 180°
So
Angle B + Angle X =180°
100 °+ Angle X =180°
Angle X=180°-100°
Angle X = 80°
Which expression gives the distance between the points (2,3) and (4,-3)?
Answer:
D
Step-by-step explanation:
D is the only answer with the correct distance formula format and the correct numbers inside the parentheses
ANYONE GOOD WITH CALCULUS?! PLEASE HELP ME!!! Use the antiderivative formula shown, where f(u) represents a function. Which function represents f(u)?
Answer: B
Step-by-step explanation:
For this problem, we can use Integration by Parts to find f(u).
∫(ln u) du x=ln u dx=1/u du
dv=du v=u
u(ln u)-∫u(1/u)du
u(ln u)-∫1 du
u(ln u)-u+C
Looking at the placement of f(u), we know that f(u) is u (underlined above).
Yummy Cookies just opened a brand new cookie bakery. The baker wants to increase the number of cookies he makes and sells each month. So far, the carrot cake cookie has been the best seller. In January, the baker made 14 of these cookies. In February, the baker doubled the January order, and took 5 cookies home to his family. The baker left the rest of the carrot cake cookies at the bakery to be sold. Every cookie left at the bakery sold. If this pattern continues, how many cookies will the baker sell in March and April?
Answer:
Number of cookies sold in March= 46
Number of cookies sold in April= 92
Step-by-step explanation:
Number of cookies made in Feb= 2×14= 28
Number of cookies sold in Feb= 28-5= 23
Number of cookies sold in March= 2× number of cookies sold in Feb
Number of cookies sold in March= 2× 23= 46
Number of cookies sold in April= 46×2= 92
uses
Katherine has 27 cups of yogurt to make smoothies. Each smoothie
1 cup of yogurt. What is the maximum number of smoothies that
Katherine can make with the yogurt?
Answer:
27 smoothies
Step-by-step explanation:
if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)
PleAse please help urgent❤️❤️❤️❤️
Answer:
2.5 hours30 minutes10 kmStep-by-step explanation:
1. The end time on the graph is 150 minutes. That is ...
(150 min)(1 h)/(60 min) = (150/60) h = 2.5 h
It took Bella 2.5 hours to reach the grocery store.
__
2. Bella is stopped at the places in the curve where the vertical coordinates are not changing. That is, where the graph is horizontal. The total time that the graph is horizontal is 10 min + 20 min = 30 min.
Bella was on the phone for 30 minutes.
__
3. Bella walked 5 km in the first 50 minutes, 2 km (toward home) in the next 20 minutes, and 3 km in the last 60 minutes before she got to the grocery store. Her total distance was ...
5 km + 2k + 3 km = 10 km
Bella traveled a total of 10 km.
On a normally distributed anxiety test with mean 48 and standard deviation 4, approximately what anxiety test score would put someone in the top 5 percent?
Answer:
54.56
Step-by-step explanation:
Given:
Mean, u = 48
Standard deviation, [tex] \sigma[/tex] = 4
Test score = 5%
Required:
Find the raw score, X.
Having a test score of 5% means the Zscore has to correspond to 95%, ie, 1 - 0.05 = 0.95.
Thus, [tex] Z_0_._9_5 = 1.64[/tex]
To get X, use the formula:
[tex] mu + z * \sigma [/tex]
= 48 + (4 * 1.64)
= 48 + 6.56
= 54.56
The anxiety test score that would put someone in the top 5% is 54.56
Convert 2 3/4 to a decimal number.
Answer:
2.75
Step-by-step explanation:
3/4 is .75 in decimal
Find the area of a circle with radius 7 ft.
Answer:
153.9 ft²
Step-by-step explanation:
The area for a circle formula is πr².
Using the radius, we get:
π×7² =
49π ≈
153.938 ≈ (Using the π key)
153.9 ft²
Answer:153.86
Step-by-step explanation:area of a circle is πr square
That is 3.14×49
=153.86
What is the equation of the line shown written in slope-intercept form?
y = -2
y = 2
x = 2
Answer:
The equation of the line is y = 2.
Step-by-step explanation:
When a line is horizontal, it's gradient will be 0. So you have to substitute the coordinates into the equation, y = mx + b, to find the b :
[tex]y = mx + b[/tex]
[tex]let \: m = 0 \\ let \: x = 5 \\ let \: y = 2[/tex]
[tex]2 = 0(5) + b[/tex]
[tex]b = 2[/tex]
[tex]y = 2[/tex]
Answer:
it would be Y=2 as it's a horizontal line at y=2
pls Answer it step by step.
I WILL MARK BRAIN LIST.
Answer:
Step-by-step explanation:
Please help me………………………
The square root of 81/625 = 0.36
The square root of x^2 = x
The square root of y^2 = y
25 x 0.36 = 9
X *x = x^2
Y*y = y^2
Final answer = 9x^2y^2
Answer:
The answer is option d. 9x²y²
Step-by-step explanation:
25xy√81/625x²y²
= 25xy × 9/25xy
= 9x²y²
Hope this helps.
A firefighter sees a woman trapped in a building 15 feet up from the bottom floor. The firetruck is parked 35 feet away from the bottom of the building. At what angle of elevation, to the nearest degree, should the firefighter extend the ladder to reach the woman?
Answer:
70 degrees
Step-by-step explanation:
Answer:
70 that my answer and so they can reach
Given the directrix of y = -1 and focus of (0, 3), which is the equation of the parabola?
Answer:
[tex]y=\dfrac{1}{8}x^2+1[/tex]
Step-by-step explanation:
Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:
[tex]y=\dfrac{1}{8}x^2+1[/tex]
Hope this helps!
Answer:
y = one eighth x^2 + 1
Step-by-step explanation:
i took the test and got it right
Lara's Inc. Is currently an unlevered firm with 450,000 shares of stock outstanding, with a market price of $15 a share. The company has earnings before interest and taxes of $314,000. Lara's met with his bankers, Warne Incorporated and agreed to borrow $825,000, at 5 percent. You are an ardent investor and you currently own 20,000 shares of Lara's stock. If you seek to unlevered your position; how many shares of Lara's stock will you continue to own, if you can loan out funds at 5 percent interest? Ignore taxes in your deliberations. Kindly show all workings.
Answer:
Step-by-step explanation:
Value of firm = Number of shares×Market price per share
= 450,000 × $15
= $6,750,000
Value of debt = $825,000
Weight of debt = $825,000 / $6,750,000 = 12.22%
Number of shares continue to own = 20,000 × (1 - 12.22%) = 17,555.56 or 17,556 shares
Number of shares continue to own = 17,555.56 or 17,556 shares
*WILL MARK YOU BRAINLIEST!!!*
Answer:
C.
Step-by-step explanation:
Look at the image
help me for brainliest answer
Answer:
Step-by-step explanation:
Pattern 6 will have 35
how many 3/8’s are in 3
Answer: 8 times
Step-by-step explanation:
Youre essentially doing 3 divided by 3/8.
3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3.
[tex]\frac{3}{1} *\frac{8}{3} = \frac{24}{3} = 8[/tex]
There are eight (8) 3/8’s are in 3
The number of 3/8’s in 3 can be obtained by dividing 3 by 3/8. That is;3 ÷ 3/8N.B: Due to the division sign, the 3/8 is arranged inversely while the sign changes to multiplication (×) as follows:= 3 × 8/3= 24/3= 8This means that there are eight (8) 3/8’s are in 3.Learn more at: https://brainly.com/question/25353016?referrer=searchResults