Answer:
D) 9 square units
Step-by-step explanation:
The squared term will always be non-negative, so the least it can be is zero (for x=3). The squared term is subtracted from 9, so the most the function value can be is 9.
The maximum area of the rectangle is 9 square units.
Answer:
9 square units
Step-by-step explanation:
Pete's checking account showed a balance at the beginning of the month of $180. After 3 days the checking account showed a balance of $160. Write a linear equations to represent the total in the checking account f(x) according to the day x.
Answer:
180 - 172 =$8 8/3=2.56
how to solve x^2+8x+3 using the quadratic formula
Answer:
x = sqrt(13) - 4 or x = -4 - sqrt(13)
Step-by-step explanation:
Solve for x:
x^2 + 8 x + 3 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 3 from both sides:
x^2 + 8 x = -3
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 16 to both sides:
x^2 + 8 x + 16 = 13
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 4)^2 = 13
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 4 = sqrt(13) or x + 4 = -sqrt(13)
Hint: | Look at the first equation: Solve for x.
Subtract 4 from both sides:
x = sqrt(13) - 4 or x + 4 = -sqrt(13)
Hint: | Look at the second equation: Solve for x.
Subtract 4 from both sides:
Answer: x = sqrt(13) - 4 or x = -4 - sqrt(13)
A bag contains 10 Yellow, 4 Green and 7 Blue marbles. Find the following probabilies.
P(blue)
Answer:
1/3
Step-by-step explanation:
The total number of marbles
10+4+7 = 21
P(blue) = blue marbles / total marbles
= 7 / 21
= 1/3
The roots of a quadratic equation are 6 and 3/4. If one of the two factors of the equation is x – 6, what is the second factor?
A. 3x - 4
B. 3x + 4
C. 4x - 3
D. 4x + 3
Answer:
C. 4x - 3
Step-by-step explanation:
The factor could be (x -3/4). Apparently, you're expected to show the factor as 4 times this, or ...
4x -3 . . . . . matches choice C
___
If r is a root, then (x -r) is a factor. As here, factors containing fractional roots can be multiplied by the denominator to make the coefficients be integers.
What is the value of 5+5⋅34
Answer:
175
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Answer:
A8
B 0
F 5
Step-by-step explanation:
x+22<32
Subtract 22 from each side
x+22-22 <32-22
x < 10
8 is less than 10
0 is less than 10
5 is less than 10
An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per night. Their high school has 1200 students, and they take a sample of the first 120 students that arrive at school on a particular day. They ask each of the 120 students how many hours of sleep they got the night before and then calculate an average.
Which of the following statements is an accurate description of the elements of this survey?
(A) Population: the 120 students surveyed. Parameter of interest: the average number of hours a student at this high school sleeps per night.
(B) Sample: the 1200 students of the school. Population: all high school students in the United States. Statistic: the average number of hours a student at this high school sleeps per night
(C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.
(D) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Statistic: The average number of hours a student at this high school sleeps per night.
(E) This is not a survey because a convenience sample was used.
Answer:
Step-by-step explanation:
Hello!
To estimate the average number of hours a student their highschool sleeps per night, the students of the statistics class took as sample the first 120 students that arrived at the school on a particular day, out of the 1200 student population, and asked how many hours of sleep they got the night before.
The population of interest is the entire group of experimental units that exists in the world, in this example is the student body of the high school: 1200 students.
The sample is formed by the students that were interviewed: 120 students.
The parameter of interest is the average sleep time per night of the students in high school.
Correct answer:
(D) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Statistic: The average number of hours a student at this high school sleeps per night.
The quadratic equation x^2 - 8x = -4 is rewritten in the form (x + p)^2 = q. when q is a constant. What is the value of p ?
Answer:
-4
Step-by-step explanation:
If you multiply out the square, you can see ...
(x +p)^2 = q
x^2 +2px +p^2 = q
The coefficient of the x-term is 2p, so ...
2p = -8
p = -8/2 = -4
A line has the equation 3x–4y–12=0.
Is the point (2, −1) on the graph?
Answer:
The point (2, -1 ) is not on the graph of the line.
Step-by-step explanation:
3x–4y–12=0
3*2 - 4*(-1) - 12= 0
6 + 4 - 12 =0
10 - 12 = 0
- 2 = 0 , false, so the point (2, -1 ) is not on the graph of the line.
3.6 x 0.025 is my question to be answered
Answer:
0.09
because I multiplied...
Answer:
0.09
Step-by-step explanation:
36/ 10 x 25/ 1000 = 18/ 5 x 1/40 = 9/100 = 0.09
$3.50 for 1/2 pound of cheese
Answer:
two pounds of cheese would be $7.00
Step-by-step explanation:
because if you add the price for half a pound plus itself you would get $7.00
Answer:
7.00 1 pound
Step-by-step explanation:
Need done ASAP please
Step-by-step explanation:
a. 81 ÷ 9 = 9
b. 40 ÷ 5 = 8
c. 21 ÷ 3 = 7
d. 54 ÷ 6 = 9
e. 42 ÷ 7 = 6
f. 63 ÷ 9 = 7
g. 36 ÷ 4 = 4
h. 45 ÷ 9 = 5
i. 39 ÷ 3 = 12
j. 24 ÷ 6 = 4
If 5 pizzas cost 60$, how much will 9 pizzas cost
Answer:
$108
Step-by-step explanation:
If 5 pizzas cost $60, then each pizza costs $12. 9 x 12 = 108.
Answer:
108
Step-by-step explanation:
if 5 pizzas cost 60,
each pizza cost 60/5= 12dollars
then, 9 pizzas cost 12 x 9 = 108dollars
If a pair of standard dice are rolled,
what is the probability that at least
one die shows a 5?
?
Answer:
The correct answer is 11/36
Step-by-step explanation:
The probability that at least one die shows a '5' is 11/36.
What is the probability of an event?The probability of an event is the chance of happening that particular event.
Here, a pair of standard dice are rolled.
Therefore, the total number of combinations of two dice is = 6² = 36.
The case at which one die shows a '5' are: (1, 5); (2, 5); (3, 5); (4, 5); (5, 5); (6,5); (5, 1); (5, 2); (5, 3); (5, 4); (6, 5)
Therefore, the total number of cases at which one die shows a '5' is = 11.
Therefore, the required probability of the given event is
= 11/36
Learn more about the probability of an event here: https://brainly.com/question/9548010
#SPJ3
HELP WITH THIS EASY MATH AUESTION DOWN HELOW!! WILL MARK AS BRANLIEST AND I NEED AN EXPLANTION TOO
Answer:
A. 36, -36
Step-by-step explanation:
y = x^2 - 12x - 5
steps to complete the square
add a 5 to both sides to move the constant
x^2 - 12x = 5
Then take -12, the coefficient of the variable and divide by 2 and square.
12/2 = 6, 6^2 = 36
Then add 36 to both sides.
x^2 - 12x + 36 = 5 + 36
Then subtract the 5 and 36 from both sides.
x^2 - 12x + 36 - 36 - 5
The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha
Answer:
a) Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
b) The test statistic
|t| = |-3.33| = 3.33
c) P - value lies between in these intervals
0.001 < P < 0.005
Step-by-step explanation:
Step( i ):-
Given data the Population mean 'μ' = 5.5
The small sample size 'n' = 16
The sample mean (x⁻) = 5.25
Given the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.
Null hypothesis : H₀ : μ = 5.5
Alternative Hypothesis : H₁ : μ < 5.5
Level of significance ∝ = 0.01
Step(ii):-
The test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]
On calculation , we get
t = -3.33
|t| = |-3.33| = 3.33
Step(iii):-
P - value
The degrees of freedom γ = n-1 = 16-1 =15
The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005
0.001 < P < 0.005
Condition(i)
P - value < ∝ then reject H₀
Condition(ii)
P - value > ∝ then Accept H₀
we observe that 0.001 < P < 0.005
P- value < 0.01
we rejected H₀
(or)
The tabulated value = 2.60 at 0.01 level of significance with '15' degrees of freedom
The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom
The null hypothesis is rejected
Conclusion:-
Accepted Alternative hypothesis H₁
The Claim that the true average is smaller than 5.5
Divide 45 minutes in the ratio 2:3
Answer: 18 minutes: 27 minutes
Here the steps see attachment
Classify this triangle.
Acute scalene triangle
Obtuse isosceles triangle
Right isosceles triangle
Right scalene triangle
Answer: right isosceles
Step-by-step explanation:
the angle at the bottom is right therefore you need to figure out the lengths of the sides to conclude if it is isosceles or scalene. because two of the sides are the same length and the other is not it is isosceles
You commute to work by riding a bus each day for $4.25 round trip. A weekly pass is available for $19.75 a week. If you work 5 days a week, how much can you save by buying the pass?
Answer:
$1.50
Step-by-step explanation:
The cost of 5 daily fares is ...
5($4.25) = $21.25
The difference between that and the cost of a pass is ...
$21.25 -19.75 = $1.50
You can save $1.50 per week by buying the pass.
A group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The file containing the data is linked below. The purpose of this study (Links to an external site.) was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.
Let u be the mean number of alcoholic beverages that students in the college drink in a typical week. State the hypotheses that are being tested in this problem.
Answer:
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 4.73
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 4.73
Step-by-step explanation:
We are given that a group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week.
In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.
Let [tex]\mu[/tex] = mean number of alcoholic beverages that students in the college drink in a typical week.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 4.73 {means that the mean number of alcoholic drinks that students at his college have in a typical week does not differs from the mean of U.S. college students in general}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 4.73 {means that the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general}
The test statistics that can be used here is One-sample t test statistics or One-sample z test statistics depending on whether population standard deviation is given or not.
Hence, this is the hypothesis that are being tested in this problem.
Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
s Dauda and Luca had GH<600.00 more than Dauda. Il Patricia had GH2,000.00. W
was the average share, to the nearest GH!
Answer:
Answer:
GH 1533
Step-by-step explanation:
Let Dauda's share of the money=x
Patricia had twice as much as Dauda, therefore:
Patricia's share=2x
Luca had GH 600.00 more than Dauda, therefore:
Luca's Share =x+600
If Patricia had GH 2,000.00
Then: 2x=2000
x=1000
Therefore:
Dauda's Share=GH 1000Patricia's share=GH 2000Luca's Share =1000+600=GH 1,600Next, we determine the average share.
[tex]\text{Average Share=}\dfrac{1000+2000+1600}{3}\\=\dfrac{4600}{3}\\\\=$GH 1533.33\\\text{Average Share} \approx $GH 1533 (to the nearest GH)[/tex]
Use substitution to solve the system of equations algebraically.
x2 + y2 = 32
y = x
One solution to the system of equations is (–4, –4).
The other solution to the system of equations is _______
Answer:
The other solution to the system of equations is : (4,4)
Step-by-step explanation:
[tex]x^{2}}+y^{2} =32 \\y=x\\\\x^{2} +x^{2} =32\\2x^{2} =32\\x^{2} =16\\\\x=4 Or x=-4\\y=4 Or y=-4[/tex]
Answer:
(4, 4)
Step-by-step explanation:
Please answer number 5 find the surface area
Ill edit this later to answer the question, but what is the question???
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to make a profit of $1220.
Did you ever figure this out. I need the answer for a test.
The article Effect of Environmental Factors on Steel Plate Corrosion Under Marine Immersion Conditions (C. Soares. Y. Garbatov, and A. Zayed, Corrosion Engineering, Science and Technology, 2011 :524? 541 ) describes an experiment in which nine steel specimens were submerged in seawater at various temperatures, and the corrosion rates were measured. The result are presented in the following table (obtained by digitizing a graph).
Temperature (C) Corrosion (mm/y)
26.6 1.58
26.0 1.45
27.4 1.13
21.7 0.96
14.9 0.99
11.3 1.05
15.0 0.82
a. Construct a scatterplot of corrosion (y) versus temperature (x). Verify that a linear model is appropriate.
b. Compute the least-squares line for predicting corrosion from temperature.
c. Two steel specimens whose temperatures differ by 10◦ C are submerged in seawater. By how much would you predict their corrosion rates to differ?
d. Predict the corrosion rate for steel submerged in seawater at a temperature of 20◦ C.
Answer:
Check the explanation
Step-by-step explanation:
a) from the scatter plot in the attached image below, it appears that relationship is approximately linear
b) least square line: that =0.3940+0.0355x
c) for 10 C difference expected difference in corrosion rate =0.0355*10=0.355
d) for x=20 ; predicted temperature =0.3940+0.0355*20=1.1041
e) fitted values are:
X ŷ
26.600 1.3385
26.000 1.3172
27.400 1.3669
21.700 1.1645
14.900 0.9230
11.300 0.7952
15.000 0.9266
8.700 0.7029
8.200 0.6851
Solve SA = πrs + π r2 for s A) -r B) SA + r C) SA π2r3 D) SA - πr2 πr
Answer:
(SA - π r^2)/πr = s
Step-by-step explanation:
SA = πrs + π r^2
Subtract π r^2 from each side
SA - π r^2 = πrs + π r^2-π r^2
SA - π r^2 = πrs
Divide each side by πr
(SA - π r^2)/πr = πrs/πr
(SA - π r^2)/πr = s
Answer:
D
Step-by-step explanation:
SA = πrs + πr²
SA - πr² = πrs
s = (SA - πr²)/πr
The Vacaville tax assessor determined that the market value of the Perry’s house is $132,000. The rate of assessment in Vacaville is 50% of market value. The tax rate is 48.75 mills. What is the real estate tax on the Perry’s house?
1 point
$32.18
$321.75
$3217.50
$6435.00
Answer:
$3217.50
Step-by-step explanation:
The tax is computed as ...
($132,000)(1/2)(48.75/1000) = 66·48.75 = 3217.50
The real estate tax on the Perry's house is $3217.50.
what is
a=
b=
c=
d=
e=
Answer:Not enough info
Step-by-step explanation: need more
How do I type in exponents
Answer:
on what
Step-by-step explanation: normaly you have a button that you can have certain characters
Round 0.378 to the place underlined digit 3
Answer:
0.38
Step-by-step explanation:
7 is the 3rd digit, so 8 is greater then 5, so you round up, if it is correct, can you give brainiest
Answer:
0.40
Step-by-step explanation:
this is because the number before it is up to five and even more than 5 so we round it up by adding one to the next number and the remaining digit to zero
