Answer:
The answer is
9.9 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(9, -3) and (2, 4)
The distance between them is
[tex]d = \sqrt{ ({9 - 2})^{2} + ( { - 3 - 4})^{2} } \\ = \sqrt{ {7}^{2} + ({ - 7})^{2} } \\ = \sqrt{49 + 49} \\ = \sqrt{98} \\ = 7\sqrt{2} \\ \: \: \: \: \: \: \: \: = 9.899494[/tex]We have the final answer as
9.9 units to the nearest tenthHope this helps you
Answer:
the answer would be 9.9
Step-by-step explanation
You must use the distance formula which is [tex]\sqrt{(2-9)^2 +(4-(-3))^2}[/tex]
Simplify - [tex]\sqrt{(-7)^2 +(7)^2}[/tex]
simplify again - [tex]\sqrt{49+49}[/tex]
once more simplify - [tex]\sqrt{98}[/tex]
and you can get your answer by [tex]\sqrt{98\\}[/tex]=9.899 or rounded to the nearest 10th 9.9. I hope this helps!
Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.05 signifcance level to test the claim that such polygraph results are correct less than 80% of the time. Based on the results should polygraph test results be prohibited as evidence in trials? identify the null hypothesis, alternative hypothesis, test statistic, P-value conclusion about the null hypothesis and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution
a. H0:p= 0.80 b. H0:p=0.20
H1:p>0.80 H1: p =/ 0.20
c. H0:p=0.20 d. H0:p= 0.80
H1:p< 0.20 H1: p< 0.80
e. H0: p= 0.20 f. H0: p= 0.80
H1: p>0.20 H1:p =/ 0.80
the test statistic is z=
the P-value is ?
Answer:
H0:p= 0.80 H1: p< 0.80 one tailed test
Step-by-step explanation:
We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.
H0:p= 0.80 H1: p< 0.80 one tailed test
p2= 0.8 , p1= 74/97= 0.763
q1= 1-0.763= 0.237 q2= 0.2
The level of significance is 0.05 .
The Z∝= ±1.645 for ∝= 0.05
The test statistic used here is
Z= p1-p2/ √pq/n
Putting the values:
Z= 0.763 -0.8 / √ 0.8*0.2/97
z= -0.037/ 0.0406
z= -0.9113
The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.
As the calculated value does not fall in the critical region we fail to reject the null hypothesis. There is not sufficient evidence to support the claim that such polygraph results are correct less than 80% of the time.
Using the normal probability table.
P (Z < -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762
If P- value is smaller than the significance level reject H0.
0.1762> 0.005 Fail to reject H0.
6-7 Please help BRAINLEST!
Answer:
18
Step-by-step explanation:
25=7+r 25-7=18 7-7=0
r=18 Do you understand? I really hoped I helped. I was in your position when i was learning that.
the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 64 M. the length of the alley is 2 times the width. find the length and the width of the playing alley
Answer:
The length is 21.3 metersThe width is 10.6 metersStep-by-step explanation:
This problem is on the mensuration of flat shapes, a rectangular shape
we are required to solve for the length and width of the rectangular ball court
we know that the perimeter is expressed as
[tex]P= 2(L)+2(W)[/tex]
let the width be x
hence the length is 2x
Given data
perimeter = 64 meters
length l= 2x
width w= x
Substituting our data and solving for x we have
[tex]64= 2(2x)+2(x)\\\\64= 4x+2x\\\\64= 6x[/tex]
Dividing both sides by 6 we have
[tex]x=\frac{64}{6}\\\\ x= 10.66[/tex]
Hence the width is 10.66 meters
The length is 2x= 2(10.66)= 21.33 meters
For which of these reasons would you create a scatterplot between two variables?
a. To get an initial sense of whether the means of the groups are different from each other.
b. To determine if your research hypothesis has been proven.
c. To determine if the relationship is bi-directional.
d. To see if the relationship is positive or negative.
The answer should be c) To determine if the relationship is bi-directional.
What is a scatterplot?
Scatterplot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed
To get an initial sense of whether the means of the groups are different from each other. scatterplot is used to show relation between the two variables. So option a is wrong.
To determine the research hypothesis has been proven. Scatterplot is no where related to research hypothesis. so option b is wrong
determine if the relationship is bi-directional. Scatterplot is used to determine that the variables are dependent or not i.e they have a relation or not ,option c is correct
To see if the relationship is postive or negative . Scatterplot is used to show dispersed data, it can't be used to show positive or negative.So option d is wrong
Therefore, option c is correct
Learn more about scatterplot.
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Prove the multiple of two consecutive integers is positive
Answer:
2×3=6
or 6×5=30
Step-by-step explanation:
Theres a lot!
6 + x is an example of _____. a formula a constant a variable an expression
Answer:
it is an example of an expression
Step-by-step explanation:
it is an example of an expression because it is asking a question without an equal sign. so its not a question, but an expression
Find the number that completes each of the following proportions: a.8120=4c b.n0.5=0.71 c.8x=23 d. 7:6=k:120
Answer:
a. c = 2030,
b. n = 1.42,
c. x = 2.875,
d. k = 140
Step-by-step explanation:
a ) 8120 = 4c,
c = 8120 / 4 = 2030
b ) 0.5n = 0.71,
n = 0.71 / 0.5 = 1.42
c ) 8x = 23,
x = 23 / 8 = 2.875
d ) 7 : 6 = k : 120
Here we want to convert this ratio into fraction form,
7 / 6 = k / 120
And now we can cross - multiply to determine the value of k,
6k = 7(120) = 840,
k = 840 / 6 = 140
We can check the value of k, by plugging it back into our ratio, and see if it reduces to 7 : 6,
140 : 120,
14 : 12,
7 : 6
20 girls tried out for the basketball team and 18 boys tried out. What was the ratio of girls to boys who tried out for the team?
Answer: 10 : 9
Step-by-step explanation:
GIVEN
20 girls tried out
18 boys tried out
----------------------------------------------
The final ratio should be girl to boy
girl to boy
=20 : 18
=10 : 9 ⇔ divide 2 on both sides (simplify the ratio)
Hope this helps!! :)
Please let me know if you have any question
does someone know the answer of (-9+v)/8=3
Hi
(-9+V) /8 = 3
-9/8 +V/8 = 24/8
-9+V = 24
V = 24+9
V = 33
let's check : -9+33 = 24 and 24/8 = 3
large cheese pizzas cost $5 each and large one topping pizzas cost $6 each. write an equation that represents the total cost, T , of c large cheese pizzas and d large one-topping pizzas.
Answer:
T = 5c +5d, where unit of the equation is $.
Step-by-step explanation:
Cost of 1 large cheese pizza = $5
No. of large cheese pizza = c
therefore
cost of c large cheese pizza = c*Cost of 1 large cheese pizza = $5c
Cost of 1 large one topping pizza = $6
No. of large one topping pizza = d
therefore
cost of d large one topping pizza = d*Cost of 1 large one topping pizza = cost of d large one topping pizza = $6d
Total cost of c large cheese pizza and cost of d large one topping pizza
= $5c +$6d
total cost is represented by T
thus, T = $5c +$5d Answer
(2x-3)^2 - (3x-2)^2
Answer:
im Pretty sure x
Step-by-step explanation: Distribute:
=4x2+−12x+9+−9x2+12x+−4
Combine Like Terms:
=4x2+−12x+9+−9x2+12x+−4
=(4x2+−9x2)+(−12x+12x)+(9+−4)
=−5x2+5
Answer: −5x2+5
The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 8 minutes.
(a) Find the probability that the time interval between two successive barges is less than 5 minutes.
(b) Find a time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t.
Answer:
a) 0.4647
b) 24.6 secs
Step-by-step explanation:
Let T be interval between two successive barges
t(t) = λe^λt where t > 0
The mean of the exponential
E(T) = 1/λ
E(T) = 8
1/λ = 8
λ = 1/8
∴ t(t) = 1/8×e^-t/8 [ t > 0]
Now the probability we need
p[T<5] = ₀∫⁵ t(t) dt
=₀∫⁵ 1/8×e^-t/8 dt
= 1/8 ₀∫⁵ e^-t/8 dt
= 1/8 [ (e^-t/8) / -1/8 ]₀⁵
= - [ e^-t/8]₀⁵
= - [ e^-5/8 - 1 ]
= 1 - e^-5/8 = 0.4647
Therefore the probability that the time interval between two successive barges is less than 5 minutes is 0.4647
b)
Now we find t such that;
p[T>t] = 0.95
so
t_∫¹⁰ t(x) dx = 0.95
t_∫¹⁰ 1/8×e^-x/8 = 0.95
1/8 t_∫¹⁰ e^-x/8 dx = 0.95
1/8 [( e^-x/8 ) / - 1/8 ]¹⁰_t = 0.95
- [ e^-x/8]¹⁰_t = 0.96
- [ 0 - e^-t/8 ] = 0.95
e^-t/8 = 0.95
take log of both sides
log (e^-t/8) = log (0.95)
-t/8 = In(0.95)
-t/8 = -0.0513
t = 8 × 0.0513
t = 0.4104 (min)
so we convert to seconds
t = 0.4104 × 60
t = 24.6 secs
Therefore the time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t is 24.6 secs
a.) we can conclude that probability for the time interval between two successive barges is less than 5 minutes is 46.47%.
b.) the time interval 't' such that we can be 95% sure that the time interval between two successive barges will be greater than 't' is 24.6 secs.
Given to us:
exponential distribution with mean = E(T) = 8,
The mean of the exponential
E(T) = 1/λ
1/λ = 8
λ = 1/8
∴ [tex]t(t) =\frac{1}{8} \times e^\frac{-t}{8} }\ ;\ [ t > 0][/tex]
(a) The probability that the time interval between two successive barges is less than 5 minutes.
Now the probability we need
[tex]\begin{aligned} \ [T<5] &= \int\limits^5_0 {t(t)} \, dt\\&= \int\limits^5_0 { (\frac{1}{8} \times e^\frac{-t}{8} })dt\\&= \frac{1}{8} \int\limits^5_0 { (e^\frac{-t}{8} })dt\\&= \frac{1}{8} \int\limits^5_0 { (e^\frac{-t}{8} })dt\\\\&= [ \dfrac{(e^\frac{-t}{8})}{\frac{-1}{8}} ]_0^5\\&= - [ e^{-t/8}]_0^5\\&= - [ e^{-5/8} - 1 ]\\&= 1 - e^{-5/8}\\&= 0.4647\end{aligned}[/tex]
So, we can conclude that probability for the time interval between two successive barges is less than 5 minutes is 46.47%.
b) Now we find t such that;
[tex]\begin{aligned} \ &p[T>t]=0.95\\ & \int\limits^{10}_0 {t(t)} \, dt=0.95\\& \int\limits^{10}_0 { (\frac{1}{8} \times e^\frac{-t}{8} })dt=0.95\\& \frac{1}{8} \int\limits^{10}_0 { (e^\frac{-t}{8} })dt = 0.95\\& \frac{1}{8} \int\limits^{10}_0 { (e^\frac{-t}{8} })dt=0.95 \\\\& [ \dfrac{(e^\frac{-t}{8})}{\frac{-1}{8}} ]_0^{10}=0.95\\\\& - [ 0 - e^{-t/8} ] = 0.95&\ \ e^{-t/8} = 0.95\\\end{aligned}[/tex]
taking logs,
t = 24.6 secs
Hence,the time interval 't' such that we can be 95% sure that the time interval between two successive barges will be greater than 't' is 24.6 secs.
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A child gets 20 heads out of 30 tosses of a coin. If he declared the chance of getting a head with that coin were 2/3, that would be an example of probability.
Answer: Experimental probability
Step-by-step explanation:
There are two kinds of probability: Theoretical probability and Experimental probability.
To calculate theoretical probability we divide favorable outcomes by total outcomes.
To calculate experimental probability we divide number of times an event occurs by the total number of trials or times the activity is performed.
Here, A child gets 20 heads out of 30 tosses of a coin. If he declared the chance of getting a head with that coin were 2/3, which is dependent on the activity he performed, thus it is an experimental probability.
solve | − 9 | − | − 4 | =
Answer: 5
Step-by-step explanation:
First of all, keep in mind that absolute value of any real number (positive and negative) is always positive because it stands for the distance from zero, and distance will never be negative.
i.e. |x|=x, |-x|=x
-------------------------------------------
|-9|-|-4|
=9-4
=5
Hope this helps!! :)
Answer:
[tex]\huge \boxed{5}[/tex]
Step-by-step explanation:
[tex]|-9|-|-4|[/tex]
Apply rule : [tex]|-a|=a[/tex]
[tex]9-4[/tex]
Subtract.
[tex]=5[/tex]
please help me asap!!:)
Answer:
Hey there!
Basically, you are either going to North Dakota, New Hampshire, New Jersey, New York, New Mexico or North Carolina, as those are the only two word states beginning with N.
Thus, the chance of picking one of those is 6/50, or 3/25.
You have to choose one state, so this is Mutually Exclusive.
Let me know if this helps :)
19=7X+3-3x
Solve equation
Answer:
x=4
Step-by-step explanation:
19=7X+3-3x
Combine like terms
19 = 4x +3
Subtract 3 from each side
19-3 = 4x+3-3
16 = 4x
Divide each side by 4
16/4 = 4x/4
4 =x
To evaluate the effect of a treatment, a sample of n = 9 is obtained from a population with a mean of μ = 40, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 33. If the sample has a standard deviation of s = 9, do we reject or accept the null hypothesis using a two-tailed test with alpha = .05?
Answer:
Yes we reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 9[/tex]
The population mean is [tex]\mu = 40[/tex]
The sample mean is [tex]\= x = 33[/tex]
The standard deviation is [tex]\sigma = 9[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
For a two-tailed test
The null hypothesis is [tex]H_o : \mu = 40[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 40[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 33 - 40 }{ \frac{9}{\sqrt{9} } }[/tex]
=> [tex]t = -2.33[/tex]
The p-value for the two-tailed test is mathematically represented as
[tex]p-value = 2 P(z > |-2.33|)[/tex]
From the z-table
[tex]P(z > |-2.33|) = 0.01[/tex]
[tex]p-value = 2 * 0.01[/tex]
[tex]p-value = 0.02[/tex]
Given that [tex]p-value < \alpha[/tex] Then we reject the null hypothesis
describe how to obtain the graph of the transformed function below from its parent function.
Answer:
shifted horizontally to the right 4 units, then stretched vertically by a factor of "3" , and finally shifted vertically up 6 units.
Step-by-step explanation:
Given the function
[tex]f(x)=\frac{3}{x-4} +6[/tex]
we can say that its parent function
[tex]f(x)=\frac{1}{x}[/tex]
was:
shifted horizontally to the right 4 units (given by the 4 units subtracted from the variable x)
stretched vertically by a factor of "3"
and finally shifted vertically up 6 units.
1+tanA.tan2A = sec2A
Answer:
Step-by-step explanation:
1+tan2A(tanA)=sec2A
Right hand side
sec2A=1cos2A=1cos2A−sin2A
=cos2A+sin2Acos2A−sin2A
=1+tan2A1−tan2A
=1−tan2A+2tan2A1−tan2A
=1−tan2A1−tan2A+2tan2A1−tan2A
=1+2tanA1−tan2A×tanA
=1+tan2A×tanA
=Left hand side
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IF MY ANSWER IS HELP FUL
You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to get triangle P′Q′R′. What are the coordinates of triangle P′Q′R′?
A.
P′(-2, 4), Q′(-3, 1), R′(-4, 4)
B.
P′(2, -4), Q′(3, -1), R′(4, 4)
C.
P′(-2, 4), Q′(-3, 1), R′(4, -4)
D.
P′(2, -4), Q′(3, -1), R′(4, -4)
Answer:
D. (2, -4),(3, -1), (4, -4)
Step-by-step explanation:
Hello!
When you reflect over the y-axis you reverse the x.
Negatives become positives and positives become negatives
(-2, -4) turns into (2, -4)
(-3, -1) turns into (3, -1)
(-4, -4) turns into (4, -4)
look for the answer that has (2, -4),(3, -1), and (4, -4)
The answer is D
Hope this helps!
Answer:
the answer is D
Step-by-step explanation:
because i said so
Will give brqinlist if correct
Answer:
7 + 8x
Step-by-step explanation:
-11 + 2 (4x -1) + 6
=> -11 + 8x -2 + 6
=> -13 + 8x + 6
=> -7 + 8x
So, the simplified expression is 7 + 8x.
PLEASE HELP ME, I DON'T UNDERSTAND!
Answer:
c
Step-by-step explanation:
We need to divide [tex]9x^2-6x+2[/tex] by 3x -1
we know that 2 = 1+1 so
[tex](9x^2-6x+1)+1[/tex]
if you notice the thing that it's inside the parenthesis it's a perfect square
[tex]((3x)^2-2(3x)+1)+1\\=(3x-1)^2+1\\[/tex]
if we divide this by 3x -1 we get
[tex]\frac{(3x-1)^2+1}{3x-1} \\\\=\frac{(3x-1)^2}{3x-1}+\frac{1}{3x-1} \\\\=3x-1 + \frac{1}{3x-1}[/tex]
so answe is c
Find the equation of the line graphed below. Write the equation in the form y=mx+b and identify m and b.
Answer:
m = 1/2 and b = 1.
Step-by-step explanation:
The y intercept (b) is at y = 1 so we have
y = mx + 1 so b = 1
The m is the slope of the line.
The graph passes through the point (4, 2)
From the graph, the slope = 2/4 = 1/2.
So it is y = 1/2x + 1.
Solve the Multi-Step Equations and check. Solve for x
15x - 24 - 4x = -79
Answer:
x = -5
Step-by-step explanation:
Step 1: Write out equation
15x - 24 - 4x = -79
Step 2: Combine like terms
11x - 24 = -79
Step 3: Add 24 to both sides
11x = -55
Step 4: Divide both sides by 11
x = -5
Step 5: Check step
Plug in -5 into the original equation
15(-5) - 24 - 4(-5) = -79
-75 - 24 + 20 = -79
-99 + 20 = -79
-79 = -79
Answer:
x = -5
Step-by-step explanation:
15x - 24 - 4x = -79
11x - 24 = -79
11x = -55
x = -5
Check:
15 * -5 - 24 - 4 * -5
= -75 - 24 + 20
= -79
A supply company sells packs of paper by the box. Each box contains the same number of packs of paper, P. Which equation could be used to find the total number of packs of paper , T that would be in B boxes ordered?
Answer:
T = BP
Step-by-step explanation:
Boxes = B
Pack of paper in each box = P
Total number of packs = T
T = BPIs the equation for total number of packs of paper
3. An electric bill is an essential expense for young people who get their first
apartment. The following is a list of Jordan's monthly electric bills for the past
10 months.
$115,
$150, $144, $126, $90, $90, $95, $110, $120, $88
Round your answers to the nearest cent.
a. What is the mean monthly electric bill?
b. What is the range?
c. What is the variance?
d. What is the standard deviation?
Answer:
Mean = $123.8
Range= $72
Variance= $607.344
Standard deviation=$ 24.64
Step by step explanation:
The list of the data of electricity bill on ascending order
$88,$90,$90,$95,$110,$115,$120,$126,$144,$150
Mean = (summation of($88,$90,$90,$95,$110,$115,$120,$126,$144,$150))/10
Mean = 1238/10
Mean = $123.8
Range= highest value- Lowest VA
Range= 150-88
Range= $72
Variance=( (88-123.8)²+(90-123.8)²+(90-123.8)²+(95-123.8)²+(110-123.8)²+(115-123.8)²+(120-123.8)²+(126-123.8)²+(144-123.8)²+(150-123.8)²)/10
Variance= (1281.64+1142.44+1142.44+829.44+190.44+77.44+14.44+4.84+295.84+408.04+686.44)/10
Variance= 6073.44/10
Variance=$ 607.344
Standard deviation= √variance
Standard deviation= √ 607.344
Standard deviation=$ 24.64
The mean monthly electric bill is $123.8
The Range is $72
The variance is $607.344
The standard deviation is $ 24.64
What is the arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Σx = 88+90+90+95+110+115+120+126+144+150
Σx = 1238
Here n = 10
⇒ Mean = Σx/n
⇒ Mean = 1238/10
⇒ Mean = $123.8
Hence, the mean monthly electric bill is $123.8
⇒ Range = Largest value - Least value
⇒ Range = 150-88
⇒ Range= $72
Hence, the Range is $72
⇒ Σ(x -mean)² = ( (88-123.8)²+(90-123.8)²+(90-123.8)²+(95-123.8)²+(110-123.8)²+(115-123.8)²+(120-123.8)²+(126-123.8)²+(144-123.8)²+(150-123.8)²)
⇒ Σ(x -mean)² =(1281.64+1142.44+1142.44+829.44+190.44+77.44+14.44+4.84+295.84+408.04+686.44)
⇒ Σ(x -mean)² = 6073.44
Here n = 10
⇒ Variance = Σ(x -mean)²/10
⇒ Variance = 6073.44/10
⇒ Variance = $607.344
⇒ Standard deviation = √variance
⇒ Standard deviation = √607.344
⇒ Standard deviation = $24.64
Hence, the standard deviation is $24.64.
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If f(x)=1-x^2+x^3, then f(-1)=
Answer:
Well, we know that there exists a function f(x) such that f(x-1) is a direct transformation of its parent function. First we want to set x=x-1. Conceptually, it might be easier just to annotate one of the x’s as a completely different variable, because we know that x doesn’t equal x-1. So let’s rewrite as x=y-1 and solve for y.
We now have y=x+1 where y(x) is actually our parent function and y(x)=f(x+1). So take our equation f(x-1) and substitute each x with (x+1). So f(x)=2(x+1) + 3
f(x)= 2x + 5. We can check this by finding f(x-1) because it should equal 2x+3.
f(x-1)= 2(x-1) + 5
f(x-1)= 2x + 3.
Hoped I helped
(10c^6d^-5)(2c^-5d^4)
Answer:
The value of [tex](10c^6d^{-5})(2c^{-5} d^4)[/tex] is [tex]20d^{-1}[/tex].
Step-by-step explanation:
In this problem, we need to evaluate [tex](10c^6d^{-5})(2c^{-5} d^4)[/tex]. Here, c and d are variable with exponents.
Taking both c together
[tex]=(10c^6{\cdot} 2c^{-5})\\\\=20(c^6{\cdot} c^{-5})\\\\=20c^{6-5}\\\\=20[/tex]
Taking both d together
[tex]=(d^{-5}{\cdot}d^4)\\\\=d^{-5+4}\\\\=d^{-1}[/tex]
So,
[tex](10c^6d^{-5})(2c^{-5} d^4)=20d^{-1}[/tex]
Hence, the value of [tex](10c^6d^{-5})(2c^{-5} d^4)[/tex] is [tex]20d^{-1}[/tex].
What are the steps for using integer tiles to evaluate the expression 45 divided by 15
Answer:
45 / 15 = 3
Step-by-step explanation:
Required
Steps to divide 45 by 15 using integer tiles
Step 1: We start by writing out 45 items;
See attachment 1 where I used 45 boxes as illustration
Step 2: Then, we group these 45 items into groups (15 per groups)
See attachment 2 for illustration
Step 3: Count the number of groups
There are 3 groups;
Hence, 45 / 15 = 3
Answer:
The answer is B
Step-by-step explanation:
bc its 45/15 :)
what are the domain and range of this function y=(x+3)^2 -5
a. domain: (-∞, ∞) range: (-5, ∞)
b. domain: (-∞, ∞) range: (-∞, ∞)
c. domain: (-5, ∞) range: (-5, ∞)
d. domain: (-5, ∞) range (-∞, ∞)
Answer: Choice A
Note: the range should be [tex][-5, \infty)[/tex]. See explanation below.
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We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say [tex](-\infty, \infty)[/tex] which is interval notation. It represents the interval from negative infinity to positive infinity.
The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that [tex]y \ge -5[/tex] and that translates to the interval notation [tex][-5, \infty)[/tex].
The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote [tex](-5, \infty)[/tex] for choice A, when they should have written [tex][-5, \infty)[/tex]
I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.
Option A is the correct choice .
Domain will be → all real numbers .
Range will be → y belongs to R : y greater than or equal to -5 .
→ (x+3)^2 It means 0 to infinity
So (x+3)^2-5= (-5, infinity)
→ Range = (-5, infinity )