Answer:
B: 3/2x - 7 + 3 = 0
Step-by-step explanation:
Answer: C
Step-by-step explanation:
General form is in Ax+By+C. To do this, you move everything onto one side.
[tex]\frac{3}{2}x -y+3=0[/tex]
This should be the general form, but this is not correct in these answer choices! Let's try this another way to get Ax+By+C by making Ax not a fraction.
[tex]y=\frac{3}{2} x-3[/tex]
[tex]y+3=\frac{3}{2} x[/tex]
[tex]2(y+3)=3x[/tex]
[tex]2y+6=3x[/tex]
[tex]3x-2y-6=0[/tex]
This may seem incorrect, but we can always check our answer by plugging in numbers.
In our slope intercept form, let's say x=2. What would be our y?
[tex]y=\frac{3}{2} (2)-3[/tex]
[tex]y=3-3[/tex]
[tex]y=0[/tex]
Now we know our coordinates should be (2, 0). When we rewrite the slope-intercept form, we should still get 0 when we plug in x=2 and y=0. Let's check on all answer choices to see which one works.
A. Correct
-3(2)+2(0)+6
-6-6=0
0=0
B. Incorrect
3/2(2)-(0)+3
3+3=6
6≠0
C. Correct
3(2)-2(0)-6
6-6=0
0=0
D. Incorrect; not general form
2(0)=3(2)-6
0=6-6
Now, you can see that A and C are both correct, but the main difference, is that you want to make A positive. The only option where A is positive is in answer C.
Which of the following is a polynomial function in factored form with zeros at –6, –2, and 3?
f(x) = (x – 6)(x – 2)(x + 3)
f(x) = (x + 6)(x + 2)(x – 3)
f(x) = x3 + 5x2 – 12x – 36
f(x) = x3 – 5x2 – 12x + 36
Answer:
(b)
Step-by-step explanation:
You can clearly see that putting each factor equal to 0 , we get -6 , -2 , 3
A researcher is interested in determining the average number of years new teachers remain in the classroom. If past information shows a standard deviation of 5 years, what size sample should be taken so that at 95% confidence the margin of error will be 6 months or less?
What is the volume of the sphere in the diagram? with a diameter of 3
Answer:
Given diameter: r = d / 2 , Given area: r = √[A / (4 * π)] , Given volume: r = ³√[3 * V / (4 * π)] , Given surface to volume ratio: r = 3 / (A/V) .
Step-by-step explanation:
So, do that!
Answer:
36pi
Step-by-step explanation:
i already did it and it was correct.
I need help please.
Answer:
∠W = 81°
Step-by-step explanation:
Triangle OGD is isosceles, so angle OGD has the same measure as angle ODG, 17°.
Triangle OGF is isosceles, so angle OGF has the same measure as angle OFG, 49°.
Angle DGF is the difference between angle OGF and angle OGD:
∠DGF = 49° -17° = 32°
External angle W is equal to the sum of remote internal angles DGF and OFG:
∠W = 32° +49°
∠W = 81°
if you have a population of 40million people and 2million of them are from out of town. what percentage of them are out of towners??
Answer:
5%
Step-by-step explanation:
There are 2000000 people out of town and 4000000 people in total.
Solution for 2000000 is what percent of 40000000:
2000000:40000000*100 =
(2000000*100):40000000 =
200000000:40000000 = 5
Now we have: 2000000 is what percent of 40000000 = 5
Question: 2000000 is what percent of 40000000?
Percentage solution with steps:
Step 1: We make the assumption that 40000000 is 100% since it is our output value.
Step 2: We next represent the value we seek with x
Step 3: From step 1, it follows that 100%= 40000000.
Step 4: In the same vein, x%=2000000.
Step 5: This gives us a pair of simple equations:
100%=40000000(1).
x%=2000000(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/x%=40000000/2000000
Step 7: Taking the inverse (or reciprocal) of both sides.
⇒ x=5%
Therefore, 2000000 is 5% of 40000000.
I hope that answers your question and plz mark me brainliest!
1. Sam deposits$700 in an investment saving account. The annual
interest rate is 4.5%/annually compounded monthly. Determine
the amount after 7 years.
Answer:
The total amount in 7 years is: $958.62
Step-by-step explanation:
Recall the formula for compound interest:
[tex]A=P\,(1+\frac{r}{n} )^{n\,t}[/tex]
where:
A is the Accrued value (total in the account including accumulated interest), and in our case the unknown.
P is the Principal (amount initially deposited), and in our case $700.
r is the annual percent rate (but in decimal form) in our case 0.045
n is the number of compoundings done per year, and in our case 12 since it is compounded monthly
t is the time in years of the deposit.
Then the formula becomes:
[tex]A=P\,(1+\frac{r}{n} )^{n\,t}\\A=700\,(1+\frac{0.045}{12} )^{12\,*\,7}\\A=958.61657[/tex]
which can be rounded to the cents: $958.62
Find the domain of the graphed function.
Answer:
A
Step-by-step explanation:
The factor tree below provides the factors of 18. A factor tree of 18. 18 branches to 2 and 9. 9 branches to 3 and 3. What is the prime factorization of 18? 2 times 3 2 times 9 2 times 3 times 3 2 times 3 times 9
Answer:
the prime factorization of 18 is 2 times 3 and 1 time two
Step-by-step explanation:
Factorization refers to the process by which we decompose a number in its prime factors, in other words, we express the number as a multiplication of prime numbers.
In this case we have the number 18:
18= 9 x 2, however, 9 is not a prime number so we are going to factor the 9.
18= 3 x 3 x 2.
Now we see that all our factors are prime and thus this is the factorization of 18.
Thus, the prime factorization of 18 is 2 times 3 and 1 time two
Answer:
A
enginuity2020
(1 + 1 -2 +3) lllllllllllllllllllllllllllllllllllllll
Answer:
3
Step-by-step explanation:
1+1= 2 + -2=0 + 3 = 3
Answer:
[tex]3[/tex]
Step-by-step explanation:
[tex](1 + 1 -2 +3)[/tex]
[tex]1+1-2+3[/tex]
[tex]2+1[/tex]
[tex]=3[/tex]
I will give brainliest just please help
The equation ax2 + bx + c = 0 has no real solutions.
Which statement about the graph of f(x) = ax2 + bx + c could be true?
A. It could pass through the origin.
B. Its vertex could be at (–6, 0).
C. It could have a maximum at (–3, 2).
D. It could have a minimum at (0, 4).
Answer:
D. It could have a minimum at (0, 4).
Step-by-step explanation:
ax2 + bx + c = 0 has no real solutions, which means it does not touch the x axis
Since it points upwards, the vertex must be above the x axis
It will have a minimum since it opens upwards
A. It could pass through the origin. False
B. Its vertex could be at (–6, 0). False
C. It could have a maximum at (–3, 2). False
D. It could have a minimum at (0, 4). True
A construction company distributes its products by trucks loaded at its loading station. A backacter in conjunction with trucks are used for this purpose. If it was found out that on an average of 12 trucks per hour arrived and the average loading time was 3 minutes for each truck. A truck must queue until it is loaded. The backacter’s daily all-in rate is GH¢ 1000 and that of the truck is GH¢ 400.
a) Compute the operating characteristics: L, Lq, W, Wq, and P.
b) The company is considering replacing the backacter with a bigger one which will have an average service rate of 1.5 minutes to serve trucks waiting to have their schedules improved. As a manager, would you recommend the new backacter if the daily all-in rate is GH¢ 1300.
c) The site management is considering whether to deploy an extra backwater to assist the existing one. The daily all-in-rate and efficiency of the new backwater is assumed to be the same as that of the existing backwater. Should the additional backwater be deployed?
Answer:
a idk
Step-by-step explanation:
Macy spent 2 hours working on homework. She spent 1/4
of that time working on math.
How much time did Macy spend on her math homework?
Answer:
1/2 h or 30 min
Step-by-step explanation:
2 h * 1/4 = 2/4 = 1/2 h or 30 min
Hand sanitizer containing 70% ethanol (HL+) is recommended to prevent the transmission of the rhinovirus (RV) that causes the common cold. A study with 212 subjects was conducted. Subjects were assigned at random to either the HL+ group, which used hand sanitizer after hand washing, or a control group, which did not use hand sanitizer after hand washing. The number of subjects with and without RV infection in the two groups over the ten week study are below. RV Infection Yes No HL+ Group 49 67 Control Group 49 47 (a) (2 points) Is this an experiment or observational study? Why? (b) (2 points) What is the response variable? Is it qualitative or quantitative? (c) (5 points) Does the data suggest that the RV infection rate of subjects using hand sanitizer is significantly (a = 0.05) lower? Perform the appropriate procedure and include all the steps. (d) (2 points) Construct and interpret a 95% confidence interval to estimate the difference between the two proportions.
Answer:
a) Experiment
b) Proportion of subjects infected. Quantitative
c) Null hypothesis failed to be rejected. P-value=0.101.
There is not enough evidence to support the claim that the RV infection rate of subjects using hand sanitizer is significantly lower.
d) The 95% confidence interval for the difference between proportions is (-0.223, 0.047).
As we can see, the value 0 (meaning no difference between the proportions) is included in the interval. This can be interpreted the sam wat that the hypothesis test: at 95% confidence, we can not assurre that there is significant difference between the proportions.
Step-by-step explanation:
a) This is an experiment, as the groups are designed by the researcher. The individuals are then asigned randomly to one of both groups.
b) The response variable is the proportion of subjects infected. This variable is quantitative, as is a sum of positive cases divided by the total amount of subjects in the group.
c) This is a hypothesis test for the difference between proportions.
The claim is that the RV infection rate of subjects using hand sanitizer is significantly lower.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0[/tex]
The significance level is 0.05.
The sample 1 (HL+ group), of size n1=116 has a proportion of p1=0.4224.
[tex]p_1=X_1/n_1=49/116=0.4224[/tex]
The sample 2 (Control group), of size n2=96 has a proportion of p2=0.5104.
[tex]p_2=X_2/n_2=49/96=0.5104[/tex]
The difference between proportions is (p1-p2)=-0.088.
[tex]p_d=p_1-p_2=0.4224-0.5104=-0.088[/tex]
The pooled proportion, needed to calculate the standard error, is:
[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{49+49}{116+96}=\dfrac{98}{212}=0.4623[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.4623*0.5377}{116}+\dfrac{0.4623*0.5377}{96}}\\\\\\s_{p1-p2}=\sqrt{0.0021+0.0026}=\sqrt{0.0047}=0.0688[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.088-0}{0.0688}=\dfrac{-0.088}{0.0688}=-1.28[/tex]
This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):
[tex]P-value=P(z<-1.28)=0.101[/tex]
As the P-value (0.101) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the RV infection rate of subjects using hand sanitizer is significantly lower.
d) We want to calculate the bounds of a 95% confidence interval.
For a 95% CI, the critical value for z is z=1.96.
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.4623*0.5377}{116}+\dfrac{0.4623*0.5377}{96}}\\\\\\s_{p1-p2}=\sqrt{0.0021+0.0026}=\sqrt{0.0047}=0.0688[/tex]
Then, the margin of error is:
[tex]MOE=z \cdot s_{p1-p2}=1.96\cdot 0.0688=0.1348[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.088-0.1348=-0.223\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.088+0.1348=0.047[/tex]
The 95% confidence interval for the difference between proportions is (-0.223, 0.047).
As we can see, the value 0 (meaning no difference between the proportions) is included in the interval. This can be interpreted the sam wat that the hypothesis test: at 95% confidence, we can not assurre that there is significant difference between the proportions.
The formula for the perimeter of a rectangle is p = 2 l + 2 w. Which is the equivalent equation solved for w? StartFraction P minus 2 l Over 2 EndFraction = w StartFraction P + 2 l Over 2 EndFraction = w P + l = w P minus l = w
Answer:
Correct option: first one
"StartFraction P minus 2 l Over 2 EndFraction = w"
Step-by-step explanation:
First we start from the perimeter equation:
P = 2*l + 2*w
Then, we need to solve for w, so we need to isolate it.
The first step is subtracting 2*l from both sides of the equation:
P - 2*l = 2*w
Then, we divide both sides by 2:
w = (P - 2l) / 2
So the correct option is the first one:
"StartFraction P minus 2 l Over 2 EndFraction = w"
Answer:
Its the first one
Step-by-step explanation:
i got it right on edge
A pile of earth removed from an excavation is a cone measuring 12 ft high and 30 ft across its base. How many trips will it take to haul away the
earth using a dump truck with a capacity of 9 cubic yards?
trips =
Answer:
12 trips
Step-by-step explanation:
Given;
Dimension of cone shapef pile of earth;
height h = 12 ft = 4 yards
diameter d = 30 ft = 10 yards
radius r = d/2 = 10/2 = 5 yards
The volume of a cone V;
V = (1/3)πr^2 h
Substituting the given values;
V = (1/3) ×π × 5^2 × 4 cubic yards
V = 104.72 cubic yards
Given that a dump truck have a capacity of 9 cubic yards.
Vc = 9 cubic yards
Number of trips it will take is;
N = Volume of earth pile/truck capacity
N = V/Vc
Substituting the values;
N = 104.72/9
N = 11.64
N ≈ 12 trips
Therefore, the truck will make 12 trips
of is directly proportional toy and x = 45 when
= 3, find
an equation connecting and
m) the value of x when y s6
me the value of when12
of is directly proportional to Pando = 28 when
P4
Answer:
if x=ky, where k is constant.
value of x
45/3=k3/3
15=k, constant is 15
value of x when y =6
x=ky
x=15(6)
x=80
Suppose a horse is galloping at 19 mph toward a clown, and the clown is racing toward the horse on an ATV which can sustain a speed of 15mph. They are 50 miles apart from one another and start at the exact same moment in time. How much time will it take for the horse and clown to collide?
Answer:
It will take 1.47 hours for the horse and clown to collide
Step-by-step explanation:
They are driving toward each other, in opposite directions.
So to find their speed of approximation, we add their speeds.
19 mph + 15 mph = 34 mph.
This means that each hour, they are 34 miles closer.
How long it takes for them to find each other if they are 50 miles apart?
1 hour - 34 miles
x hours - 50 miles
[tex]34x = 50[/tex]
[tex]x = \frac{50}{34}[/tex]
[tex]x = 1.47[/tex]
It will take 1.47 hours for the horse and clown to collide
Jack has a summer job caddying at a golf course. Jack earns $120
a week. By rounding his weekly income to the nearest hundred
dollars, find a reasonable estimate for his total income during the
12 week summer.
A) $700
B) $800
C) $1200
D) $1700
Solve the following equation, if possible, and determine the number of solutions.
6y+4−3y−7=3(y−1)
write one answer for the number of solutions, and write at least one answer that explains your answer for the number of solutions.
6y+4−3y−7=3(y−1)
Opening the bracket we notice that it will yield same thing for both sides of the equation.
There is only one way to solve the equation because it's clear that y = 0
So it's by opening the bracket.
So the value for y is equal to zero
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Solution,
Diameter=16.8 cm
Radius=16.8/2=8.4 cm
Area of circle=pi r^2
= 3.142*(8.4)^2
=3.142*70.56
=221.69952 cm^2
hope it helps
Good luck on your assignment
Linda earns $600 each week working her full time job. Her employer has a 16% tax deduction on all monies earned each week
Answer:
$504 a week
Step-by-step explanation:
.I am going to buy 2 kilos of oranges. A kilo of oranges is 1,5 TL. How much will I pay
Answer:
The amount to be paid for 2 kilograms of oranges is 3.0 TL.
Step-by-step explanation:
The total amount of oranges to be bought is, Q = 2 kilograms.
The cost of 1 kilogram of oranges is, C = 1.5 TL.
Compute the cost of 2 kilograms of oranges as follows:
Total cost = Q × C
[tex]=2\times 1.5\ \text{TL}\\\\=3.0\ \text{TL}[/tex]
Thus, the amount to be paid for 2 kilograms of oranges is 3.0 TL.
A company produces steel rods. The lengths of all their steel rods are normally distributed with a mean of 155.1-cm and a standard deviation of 2.2-cm. For shipment, 11 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm.
Answer:
The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm
P(155.6 < x⁻ < 156.2) = 0.174 cm
Step-by-step explanation:
Given sample size 'n' = 11 steel rods
Mean of the Population = 155.1 cm
Standard deviation of the Population = 2.2 cm
Given x⁻ be the random variable of Normal distribution
Let x₁⁻ = 155.6 cm
[tex]Z_{1} = \frac{x^{-} _{1}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{155.6-155.1}{\frac{2.2}{\sqrt{11} } } = 0.7541[/tex]
Let x₂⁻ = 156.2 cm
[tex]Z_{2} = \frac{x^{-} _{2}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{156.2-155.1}{\frac{2.2}{\sqrt{11} } } = 1.659[/tex]
The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm.
P(x⁻₁ < x⁻ <x⁻₂) = P(Z₁ < Z <Z₂)
= P(Z <Z₂) - P(Z<Z₁)
= 0.5 +A(1.629) - (0.5 +A(0.7541)
= A(1.629) - A(0.7541)
= 0.4474 - 0.2734
= 0.174
Conclusion:-
The probability that the average length of a randomly selected bundle of steel rods is between 155.6-cm and 156.2-cm = 0.174
Antonio has a CD-player that holds six CDs. He puts six different
CDs in the player and the CD player randomly plays a song from
any of the CDs. What is the probability that the CD player will
play the first song from the first CD and the first song from the
sixth CD?
Answer:
1/6
Step-by-step explanation:
There are 6 CD
P( song from 6th ) = number of CD's that are 6th/ total
= 1/6
if the base of a right angled triangle is 4cm and its area is 20^2, find its height
Answer:
80cm
Step-by-step explanation:
i worked it out like this
2x4=8
then that means
20x4=80
Answer:
80 is the answer
Boris is riding a ferris wheel at a carnival. After a time t, his height H above the ground is given by the following formula. H=a cos(bt)+c Find Boris's height above the ground when a=-15m,b=2.241 rad/s,t=3s, and c=23m
Answer:
Boris height above the ground is 9.428m
Step-by-step explanation:
Boris height above the ground is given by the formula;
H = a cos(bt) + c
Now, we are told that,
a = -15m
b = 2.241 rad/s
t = 3s
c = 23m
Plugging in the relevant values, we have;
H = -15 cos (2.241 * 3) + 23
H = -15 cos(6.723 rad) + 23
cos(6.723rad) = 0.9048
Thus,
H = (-15 × 0.9048) + 23
H = 9.428 m
So boris height above the ground is 9.428m
A certain disease only affects men 20 years of age or older. The chart shows the probability that a man with the disease falls in the given age group. What is the probability that a randomly selected man with the disease is not between the ages of 55 and 64
Answer:
0.68
Explanation:
The question is incomplete without the tables. Find attached the table used in solving the question.
group 20-24 25-34 35-44 45-54 55-64 65-74 75+ respectively
Probability 0.004 0.006 0.14 0.29 0.32 0.17 respectively
This is a probability of complementary events. The sum of the two complementary events = 1
Hence, the probability of selecting a man with the disease that is not between the ages of 55 and 64 + the probability of selecting a man with the disease that is between the ages of 55 and 64 = 1
The probability of selecting a man with the disease is not between the ages of 55 and 64 = 1- probability of selecting a man with the disease is between the ages of 55 and 64
Let Pr(between 55 and 74) = probability of selecting a man with the disease is between the ages of 55 and 64
From the table, Pr(between 55 and 74) = 0.32
The probability of selecting a man with the disease is not between the ages of 55 and 64 = 1 - 0.32
The probability of selecting a man with the disease is not between the ages of 55 and 64 = 0.68
G
What is the value of f(x) when X=-3?
f(x)=-2x-3
f-3)=
Answer:
f(-3)=3
Step-by-step explanation:
We know that f(x)=-2x-3. In order to find f(-3), we simply need to substitute x with -3.
Thus, we have:
=-2(-3)-3
=6-3
=3
Answer:
3
Step-by-step explanation:
f(x)=-2x-3
Let x=-3
f(-3)= -2(-3) -3
= 6-3
= 3
The Wechsler Adult Intelligence Scale (IQ test) is constructed so that Full Scale IQ scores follow a normal distribution, with a mean of 100, and a standard deviation of 15. The mayor of Smart Town believes the county’s residents are smarter than the national average and wants to use it (the intelligence of the residents) as a marketing tool to bring industries to the area. A researcher is hired to conduct a study to determine whether Smart County’s residents have, on average, higher Full Scale IQs than the population. A random sample of 100 people from Smart County were given the IQ test and were found to have an average Full Scale IQ of 105. After analyzing the data to determine whether the mean Full Scale IQ score of the Smart County residents is higher than the national average, the p-value of 0.0004 was obtained. Using a 0.05 significance level, what conclusion can be drawn from the data?
Answer:
Step-by-step explanation:
Hello!
The variable "X: Full scale IQ score of an adult" follows a normal distribution with mean μ= 100 and standard deviation σ= 15
The claim is that the county's residents are smarter than the national average, symbolically: μ > 100
To test this a researcher took a sample of n=100 residents that took the test and recorded an average of X[bar]= 105
The hypotheses are:
H₀: μ ≤ 100
H₁: μ > 100
α: 0.05
p-value: 0.0004
Using the p-value approach, the decision rule is as follows:
p-value ≤ α, reject the null hypothesis.
p-value > α, do not reject the null hypothesis.
The p-value is less than the significance level so the decision is to reject the null hypothesis.
At a 5% significance level, you can conclude that the average full-scale IQ score of the Smart County residents is higher than the national average.
I hope this helps!
A poll of a random sample of1400 adults reported that respondents slept an average of 6.5 hours on weekdays and 7.2 hours on weekends, and that 20% of respondents got eight or more hours of sleep on weekdays, whereas 43% got eight or more hours of sleep on weekends. To compare the means or the percentages using inferential methods, should you treat the samples on weekdays and weekends as independent samples or as dependentsamples?
A. Independent Samples
B. Dependent Samples
Answer:
b) Dependent sample
Step-by-step explanation:
Given:
Sample size, n = 1400
The average sleep of the respondents in weekdays = 6.5 hours
The average sleep of the respondents in weekends = 7.2 hours
% with eight or more hours of sleep on weekdays = 20%
% with eight or more hours of sleep on weekends = 43%
Required: To Check if the samples on weekdays and weekends are independent or dependent.
When samples are independent, it means one sample does not influence the other and vice versa, while samples are said to be dependent if the outcome of one test influences the outcome of the other. The tests might be from a similar population or from various populations.
In this case, the sample gathered are from similar population because same sample is used for both weekdays and weekends. Therefore, we can say the sample is a paired sample.
The samples on weekdays and weekends are dependent since same people are used, also since sleep on weekdays and sleep on weekends may influence each other.