Determine the range of the following function {(-1,4)(0,6)(7,8)(2,-5)}
A) {-1,4,0,6}
B) {-1,0,7,8}
C) {4,6,8,-5}
D) {7,8,2,-5}
Answer:
C
Step-by-step explanation:
The range of a function is all of the y values of every point. In this case, that is 4, 6, 8, -5 (C). Hope that helps!
Answer:
The answer is C
Step-by-step explanation: 4 and 6 are the medium numbers. -5 and 8 and the lowest and highest nuumbers.
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.
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
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what is the measure of angle A?
Answer:
A = 77.32
Step-by-step explanation:
sin theta = opp/ hypotenuse
sin A = 80/82
sin A = 40/41
Take the inverse sin of each side
A = sin ^-1 (40/41)
A =77.31961651
To the nearest hundredth
A = 77.32
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
Because sample means were being tested, the is used to calculate the z-score.
Answer:
What?
Step-by-step explanation:
Answer:
Standard Error
Step-by-step explanation:
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
what is
a=
b=
c=
d=
e=
Answer:Not enough info
Step-by-step explanation: need more
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
I will make you the brainliest if you can help me with my geometry homework.
Answer:
SAS
Step-by-step explanation:
Sides WV and XV on either side of angle WVX have been shown to be congruent to their corresponding parts. When you're concerned with a Side, Angle, and Side in that geometrical sequence, the SAS theorem is applicable.
Can anyone help me with this?
Hey there! Welcome to Brainly! I'm happy to help you!
ANSWER A
If two events is mutually exclusive, it means that they cannot occur at the same time. Coin tossing is an example of something being mutually exclusive, landing on heads and tails cannot happen at the same time; it's either one or the other! In our case, this is not the case. The pizza having mushrooms on it does not affect the type of crust. The crust type and mushrooms can happen at the same time; you can have both! Therefore, Thick Crust Pizza and Pizza with mushrooms are not mutually exclusive.
ANSWER B
ANSWER 1: We know that there are nine pizzas in the oven. Looking at the chart, we see that three total pizzas have thick crust. One of them has no mushrooms and two of them do have mushrooms. This probability is 3/9, or 1/3.
ANSWER 2: We want to find a pizza that has both mushrooms and a thick crust. As we saw when solving for Answer 1, we have that 2 pizzas have both thick crust and mushrooms. This probability is 2/9.
ANSWER C
A dependent event is one that will depend on the result before it. Thick crust pizza and mushrooms do not affect each other at all; they do not depend on each other. They both do their own thing. We need to justify with things we found in Answer B. Well, when we added the event of mushrooms our probability decreased. If one of the events depended on the other, the probability would have definitely increased. Therefore, these events are both independent.
I hope that this helps you! Have a wonderful day!
Sasha borrows $100 at 12% simple interest, to be paid back in 3 months. How much does she pay back
Answer:
$103
Step-by-step explanation:
Her borrowing is for 3/12 of a year, so her effective interest for the loan is ...
(3/12)(12%) = 3%
That is, her interest charge is ...
$100 × 0.03 = $3
and the amount Sasha pays back is $103.
If 5 pizzas cost 60$, 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
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
After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a linear function, write an equation in the form d(t)=mt+b that shows the depth, d(t), after t minutes.
Answer:
d(t) = -20t -260
Step-by-step explanation:
We are given two points ...
(t, d) = (3, -320) and (8, -420)
The 2-point form of the equation of a line can be useful when 2 points are given.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
Substituting the given points, we have ...
d(t) = (-420 -(-320))/(8 -3)(t -3) -320
d(t) = -20(t -3) -320
d(t) = -20t -260
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.
The National Assessment of Educational Progress interviewed a random sample of 1917 people 21 to 25 years old. The sample contained 840 men, of whom 775 were fully employed. Of the 1077 women 680 were fully employed. Is there sufficient evidence to support the claim that the employment levels for men compared to woman were different
Answer:
[tex]z=\frac{0.923-0.631}{\sqrt{0.759(1-0.759)(\frac{1}{840}+\frac{1}{1077})}}=14.83[/tex]
The p value for this case would be:
[tex]p_v =2*P(Z>14.83)\approx 0[/tex]
For this case the p value is very low so we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of employment levels for men compared to woman were different
Step-by-step explanation:
Information given
[tex]X_{1}=775[/tex] represent the number of people fully employed men
[tex]X_{2}=680[/tex] represent the number of people fully employed women
[tex]n_{1}=840[/tex] sample 1 selected
[tex]n_{2}=1077[/tex] sample 2 selected
[tex]p_{1}=\frac{775}{840}=0.923[/tex] represent the proportion estimated for male employed
[tex]p_{2}=\frac{680}{1077}=0.631[/tex] represent the proportion estimated for women employed
[tex]\hat p[/tex] represent the pooled estimate of p
z would represent the statistic
[tex]p_v[/tex] represent the value for the test
System of hypothesis
We want to test the claim that the employment levels for men compared to woman were different, the system of hypothesis would be:
Null hypothesis:[tex]p_{1} = p_{2}[/tex]
Alternative hypothesis:[tex]p_{1} \neq p_{2}[/tex]
For this case the statistic is given by:
[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex] (1)
Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{775+680}{840+1077}=0.759[/tex]
Replacing the info given we got:
[tex]z=\frac{0.923-0.631}{\sqrt{0.759(1-0.759)(\frac{1}{840}+\frac{1}{1077})}}=14.83[/tex]
The p value for this case would be:
[tex]p_v =2*P(Z>14.83)\approx 0[/tex]
For this case the p value is very low so we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of employment levels for men compared to woman were different.
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.
Factor.
Z^2- 3z – 18
Answer:
(z-6)(z+3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
z^2-6z + 3z -18
z(z-6)+3(z-6)
(z+3)(z-6)
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
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:
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
(X-3)^3(x+3)(x+5)^2(x+8)
Answer:Simplifying
5(x + 2) = 3(x + 8)
Reorder the terms:
5(2 + x) = 3(x + 8)
(2 * 5 + x * 5) = 3(x + 8)
(10 + 5x) = 3(x + 8)
Reorder the terms:
10 + 5x = 3(8 + x)
10 + 5x = (8 * 3 + x * 3)
10 + 5x = (24 + 3x)
Solving
10 + 5x = 24 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
10 + 5x + -3x = 24 + 3x + -3x
Combine like terms: 5x + -3x = 2x
10 + 2x = 24 + 3x + -3x
Combine like terms: 3x + -3x = 0
10 + 2x = 24 + 0
10 + 2x = 24
Add '-10' to each side of the equation.
10 + -10 + 2x = 24 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = 24 + -10
2x = 24 + -10
Combine like terms: 24 + -10 = 14
2x = 14
Divide each side by '2'.
x = 7
Simplifying
x = 7
Step-by-step explanation:
What’s the correct answer for this? Select the ones that apply
Answer:
C & D
Step-by-step explanation:
In both these pairs, the x-coordinates are not changed while the y-coordinates are having a difference of 8 between them so they are really much corresponding
9-1=8
-3-(-11)=-3+11=8
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
PLEASE HELP ASAP! VERY IMPORTANT AND I NEED TO KNOW NOW! WILL MARK BRAINLIEST AND GIVE 10 POINTS!
Gordon and Tess are trying to determine whether ΔABC and ΔFGE can be proven congruent through rigid motions.
Gordon says that ΔABC ≅ ΔFGE because ΔABC can be reflected over the line x = 1 to create ΔFGE.
Tess says ΔABC ≅ ΔFGE because ΔABC can be translated by the rule (x + 5, y - 7) to create ΔFGE.
Who is correct?
A. Gordon only
B. Tess only
C. Both Gordon and Tess
D. Neither Gordon nor Tess
Answer:
D. Neither Gordon nor Tess
Step-by-step explanation:
The vertices ABC are in clockwise order. The corresponding vertices FGE are also in clockwise order. On this basis, you can say that there cannot be a single reflection (as across x=1), because that would reverse the order to counterclockwise. Gordon cannot be correct.
The left-right orientation of vertices A and C is reversed to a right-left orientation for corresponding vertices F and E. This means two reflections or a rotation is involved. Translation cannot reverse the orientation like this, so Tess cannot be correct.
ΔFGE and ΔABC are a reflection of each other across the origin, equivalent to the two reflections "across the x-axis" and "across the y-axis." This is also equivalent to a rotation of 180° about the origin.
Neither Gordon nor Tess is correct.
not gordon or tess
Step-by-step explanation:
Don opened a retirement account with an APR of 3.25% compounded monthly. He is planning to retire in 15 years. About how much will he have in the account when he retires if he deposits $750 a month? Include your work as best as possible. *
So, the required amount is $27655.384.
Compound Interest:The formula for finding the compound interest is ,
[tex]A=\frac{P((1+\frac{r}{n} )^{nt}-1)}{\frac{r}{n} } ...(1)[/tex]
Consider the periodic deposit amount [tex]p=\$750[/tex]
Rate[tex]r=3.25\%[/tex]
Consider the time [tex]t=15 years[/tex]
[tex]n=12[/tex]
Substituting the given values into the above formula we get,
[tex]A=\frac{750((1+\frac{0.325}{12} )^{12\times 15 }-1)}{\frac{0.325}{12} }\\A =\$27655.384[/tex]
Learn more about the topic Compound Interest:
https://brainly.in/question/25191515
A surveyor has determined that a mountain is
h = 2340
ft high. From the top of the mountain he measures the angles of depression to two landmarks at the base of the mountain and finds them to be 42° and
c = 42°.
(Observe that these are the same as the angles of elevation from the landmarks as shown in the figure below.) The angle between the lines of sight to the landmarks is 68°. Calculate the distance between the two landmarks. (Round your answer to the nearest integer.)
$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:
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
