Answer:
7.21
Step-by-step explanation:
Given that:
P1=(-1,3) and P2=(5,-1)
Distance between two points :
d = Sqrt[(x2 - x1)² + (y2 - y1)²]
x1 = - 1 ; y1 = 3
x2 = 5 ; y2 = - 1
d = Sqrt[(5 - (-1))² + ((-1) - 3)²]
d = Sqrt[(5 + 1)² + (-1 - 3)²]
d = sqrt[(6)^2 + (-4)^2]
d = sqrt(36 + 16)
d = sqrt(52)
d = 7.21
Tiara is making a new dance outfit. She will need 3 2/3 yards of fabric for a shawl. She also needs 1 3/5 yards of fabric for the dress. She is fortunate enough to already have 2 yards of fabric in her possession. If the current price for fabric is $6.75 per yard, how much money will she need to finish her dance outfit?
Answer: 22.05
Step-by-step explanation:
3 2/3 = 3 10/15
1 3/5 = 1 9/15
1 9/15 + 3 10/15 = 4 19/15 = 5 4/15
5 4/15 - 2 = 3 4/15
6.75 x 3 = 20.25
6.75 x 4/15 = 1.80
1.80 + 20.25 = 22.05
Hope this Helps!
(Let me know if you want me to explain how I did the 4/15 part!)
Which equation represents a line perpendicular to the line shown on the graph?
On a coordinate plane, a line goes through (negative 2, 0) and (0, 4).
y = one-half x minus 2
y = negative one-half x + 3
y = 2 x + 1
y = negative 2 x + 4
Answer:
A
Step-by-step explanation:
The equation of the perpendicular line is y = -1/2x + 3. The correct option is (B).
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The coordinates of the given points are (-2, 0) and (0, 4).
The equation of the line for the given points can be written as follows,
(y - 4)/(x - 0) = (4 - 0)/(0 - (-2))
=> y - 4 = 2x
=> y = 2x + 4
Comparing the above equation with the general equation y = mx + c the slope is given as,
m = 2
Now, the product of the slopes of two perpendicular lines is -1.
Thus, the slope of the perpendicular line is,
m' = -1/2.
In order to find the the correct answer compare all the options with general equation y = mx + c and check if the slope is -1/2 as below,
(a) y = 1/2x - 2
m = 1/2
(b) y = -1/2x + 3
m = -1/2
(c) y = 2x + 1
m = 2
(d) y = -2x + 4
m = -2
Hence, the equation for the line perpendicular to the given line is y = -1/2x + 3.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
What is the absolute value of 5,234?
Answer:
Step-by-step explanation:
5.234
he cost of manufacturing a particular videotape is C(x)90009x, where x is the number of tapes produced. The average cost per tape, denoted by , is found by dividing by x. Find .
Answer:
The average cost per tape is 10.
Step-by-step explanation:
The cost of manufacturing a particular videotape is :
C(x) = 9000+9x
Where
x is the number of tapes produced.
We need to find the value of average per tape i.e. [tex]\lim_{x \to 9000} \bar C(x)[/tex]
[tex]\bar C(x)=\dfrac{9000+9x}{x}\\\\=\dfrac{9000}{x}+9\\\\ \lim_{n \to 9000} \bar C(x)=\dfrac{9000}{9000}+9\\\\=1+9\\\\=10[/tex]
So, the average cost per tape is 10.
Atte
Mia
24. Critical Thinking Anika wants to determine the maximum
number of tulip bulbs (t) she can purchase if each bulb costs $1.50.
She will also need to purchase separate pots for each bulb at $1.25
each and a bag of potting soil for $10.00. Set up an inequality to
determine how many tulip bulbs Anika can purchase without
spending more than $20.00, and solve it. Can Anika buy exactly
enough bulbs and pots to spend the full $20.00? Explain. Can you
think of a better inequality to describe the answer?
Noti
My
C
25. Geometry The area of the triangle shown is no more than 10 square inches.
a. Write an inequality that can be used to find x.
Copy
(2x - 3) in.
4 in.
b. Solve the inequality from part a.
What is the maximum height of the triangle?
Klein
Tanis
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Cost per bulb = $1.50
Cost per pot = $1.25
Bag of potting soil = $10.00
Budgeted amount to spend ≤ 20
Cost :
Bag of potting soil + (Cost per bulb + cost per pot)*number of tulip bulbs ≤ 20
$10 + ($1.50 + $1.25)t ≤ $20
$10 + 2.75t ≤ 20
$2.75t ≤ $20 - $10
$2.75t ≤ $10
t ≤ $10/$2.75
t ≤ 3.636
Hence, t = maximum number of tulip bulbs she can purchase is 3.636,
Since the exact number of tulip bulb she can purchase is a decimal which is impossible in an actual scenario. Hence, In other to spend not more than $20.00
t ≤ 3
Last year, 450 people attended the Booster Club Breakfast. This year the number of people attending increased by 6%. Find the number of people who attended the breakfast this year.
Answer:
I'm pretty sure it's 477
Step-by-step explanation:
1. In 1995, the average level of mercury uptake in wading birds in the Everglades was 15 parts per million. If we assume that the distribution of mercury uptake has a standard deviation of 1 part per million, and a current sample of 25 wading birds has an average of 14.6 parts per million. Which null and alternative hypotheses would be used to test that the level of mercury uptake in the Everglades has decreased since 1995?
Answer:
We reject H₀, we find that the current level of mercury uptake in the Everglades has decrease
Step-by-step explanation:
We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)
Test Hypothesis:
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ < μ₀
Sample size 25 then n < 30 we will use t-student table
Population mean : μ₀ = 15 ppm
sample mean : μ = 14,6 ppm
sample standard deviation: s = 1 ppm
Sample size n : 25
degrees of freedom df = n - 1 df = 24
We will develop the test for CI 90% then α = 10% α = 0,1 α/2 = 0,05
For that values in t student table we find:
t(c) = 1,711 by symmetry t(c) = - 1,711
To compute ts
t(s) = ( μ - μ₀ ) / s/√n
t(s) = 14,6 - 15 / 1 /√25
t(s) = - 0,4*5 / 1
t(s) = - 2
Comparing t(c)and t(s)
|t(s)| > |t(c) | and t(s) < t(c) -2 < -1,711
Therefore t(s) in in the rejection region, we reject H₀
What is 837 divided by 27
Answer: 31
Step-by-step explanation: long division
Please help me find the missing measurements of this :)
Answer:
4mm
Step-by-step explanation:
The ratio of the two congruent shapes are 2.5:1
15 : 6 = 2.5 : 1
15/6 = 2.5
5 : 2 = 2.5 : 1
5/2 = 2.5
Therefore, 10 : x = 2.5 : 1
10/x = 2.5
x = 4
Answer: 15, 2, 6, and 5
Step-by-step explanation: they are equal to the measurements listed
According to the Fiji Diabetes Association, 23.1% of Fijians aged 60 years or older had diabetes in 2017. A recent random sample of 200 Fijians aged 60 years or older showed that 52 of them have diabetes. Using a 5% significance level, perform a test of hypothesis to determine if the current percentage of Fijians aged 60 years or older who have diabetes is higher than that in 2017. Use the P-value method
Answer:
The point estimated is 0.260
Step-by-step explanation:
The computation is shown below:
Sample in which the people have diabetes = 52
Random sample = 200
Significance level = 5%
Based on this, the, estimation point is
= Sample in which the people have diabetes ÷ Random sample
= 52 ÷ 200
= 0.260
hence, the point estimated is 0.260
We simply applied the above formula
And, the same is to be considered
The Null Hypothesis is accepted because the value of z is 0.973 and this can be determined by performing the test of the Hypothesis.
Given :
Association, 23.1% of Fijians aged 60 years or older had diabetes in 2017.A recent random sample of 200 Fijians aged 60 years or older showed that 52 of them have diabetes.Use a 5% significance level.Hypothesis are as follows:
Null hypothesis, [tex]\rm H_0: p\leq 0.231[/tex]
Alternate hypothesis, [tex]\rm H_a : p>0.231[/tex]
Now, performing the test of the hypothesis. The critical value z is given by:
[tex]z = \dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}[/tex] ----- (1)
Now, the value of [tex]\hat {p}[/tex] is given by:
[tex]\hat{p}=\dfrac{52}{200} = 0.26[/tex]
Now, put the values of known terms in equation (1).
[tex]z = \dfrac{0.26-0.231}{\sqrt{\dfrac{0.231\times 0.769}{200}}}[/tex]
[tex]z = \dfrac{0.029}{0.0298}[/tex]
z = 0.973
Therefore, the null hypothesis is accepted.
For more information, refer to the link given below:
https://brainly.com/question/19613147
Two containers of gasoline hold a total of 50 gallons. The big container can hold 10 gallons less than twice the small
container. How many gallons does each container hold?
Answer:
The big container holds 30 gallons and the small container holds 20 gallons
Step-by-step explanation:
Let
The big container = x
Small container = y
The big container can hold 10 gallons less than twice the small
x = 2y - 10
Total gasoline in both containers = 50 gallons
x + y = 50
Substitute x = 2y - 10 into the equation
2y - 10 + y = 50
3y = 50 + 10
3y = 60
Divide both sides by 3
y = 60 / 3
= 20
y = 20 gallons
Recall,
x + y = 50
x + 20 = 50
x = 50 - 20
= 30
x = 30 gallons
The big container holds 30 gallons and the small container holds 20 gallons
Answer:
The big container has 30 gallons and the small container has 20 gallons.
Step-by-step explanation:
5 poin
Only two serve attempts are allowed, except in the event of a let (the ball
touches the net on the serve and lands in the proper service court; let
serves are replayed).
True
False
Answer:
true
Step-by-step explanation:
if the ball lands on the team who served the ball's side of the court they are allowed to replay it. :)
Suppose that Elsa and Frank determine confidence intervals based on the same sample proportion and sample size. Elsa uses a larger confidence level than Frank. How will midpoint and width of confidence intervals compare
Answer:
elsa's interval width will be greater than that of frank
Step-by-step explanation:
first of all we are told that both Elsa and Frank have the same sample proportion so their midpoint is also going to be the same.
now as the confidence level goes higher, so also would the margin of error increase. then the width of the confidence interval would rise so it can be more confident.
from this question elsa has a larger confidence level therefore her intervals width will be greater than franks own.
I need help on it pls
Answer:
6
Step-by-step explanation:
26+32=58 and if there is 58 kids then they would need 6 vans but one van is holding 8 kids
Answer:
6 vans / in the first 5 10 kids in each and in the 6th van only 8 kids.
Step-by-step explanation:
1.) 26+32=58
2.) 58 divided by 10=5 8/10=6vans
brainliest pls B) hope i help
PLEASE HELP Please i don’t understand
Answer:
answer is 5
Step-by-step explanation:
f(5)= -5×5^2+26×5
= -125+130
= 5
Barkery’s Bakery sold 20 dog cakes during Week 1 of operation, 27 dog cakes during Week 2, and 34 dog cakes
during Week 3.
a. If this pattern continues, represent the first five
terms of the sequence using a table of values.
Answer:
Week 1 - 20
Week 2 - 27
Week 3- 34
Week 4 - 41
Week 5 - 48
Etc, etc,...
Step-by-step explanation:
The values increase by 7 each week.
Researchers Wilt et al. (New England Journal of Medicine, 2012) investigated whether surgery, compared to just observation, was (more) effective in improving men’s survival chances after being diagnosed with prostate cancer. The researchers identified 731 men with localized prostate cancer who volunteered to participate. They randomly assigned 364 men to surgery and the remaining 367 to observation. All participants were followed for about 10 years. In those 10 years, 21 surgery recipients died of prostate cancer related reasons compared to 31 observation recipients.
1. Identify the observational units.
A. Men.
B. Men with prostate cancer.
C. Men with prostate cance.
D. Men with prostate cancer who received observation r who underwent surgery.
2. What type of study is this?
A. Experiment.
B. Observational study.
3. What is the primary purpose of random assignment in this type of study?
A. To ensure that subjects are representative of the popu lation of interest.
B. To ensure that the groups are of equal sizes.
C. To create treatment groups that are alike in all aspects zes except for the treatment administered.
D. To improve accuracy of results.
4. Identify the explanatory variable.
A. Whether or not man dies of prostate cancer related reasons.
B. Whether or not man undergoes surgery.
C. Percentage of men who die of prostate cancer related reasons.
D. The number o f men who undergo surgery and the number of men who are just observed.
5. Identify the response variable.
Answer:
(1) B
(2) A
(3) C
(4) B
Step-by-step explanation:
(1)
The observational units in this study are the men with prostate cancer.
(2)
As the study involves a treatment and a control group, it is an experimental study.
(3)
The primary purpose of random assignment in this type of study is to create treatment groups that are alike in all aspects except for the treatment administered.
(4)
The explanatory variable or the independent variable, is the variable that is altered to observe the changes in the dependent variable.
The explanatory variable in this case is whether or not man undergoes surgery.
(5)
The response variable or the dependent variable is the variable that is being observed for any changes for the given treatments.
The response variable in this case is whether or not man dies of prostate cancer related reasons.
what is the pattern 2 10 40 120
Answer:
2 plus 3
Step-by-step explanation:
if you subtract 19 from my number and multiply the difference by -2, the result is -8
Answer:cool
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
let the number be 'a'
-2(a - 19)= -8
open the brackets
-2a + 38 = -8
collect like terms
38 + 8 = 2a
46 = 2a
a = 23
please help asap 14 points
Answer:
can i friend you
Step-by-step explanation:
Find the value of a in the relation Cov(2X,−3Y+2)=a⋅Cov(X,Y) .
a=
c) Suppose that X , Y , and Z are independent, with a common variance of 5 . Then,
Cov(2X+Y,3X−4Z)=
Answer:
a = -6
Cov (2X+Y, 3X-4Z) = 30
Step-by-step explanation:
Key points:
Cov (aX, bY) = a·b·Cov (X, Y)Cov (X, X) = V (X) Cov (X, a) = 0If X and Y are independent then Cov (X, Y) = 0.Cov(2X, -3Y+2) = a⋅Cov (X,Y)
Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)
(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
⇒ a = -6.
(c)
Suppose that X, Y, and Z are independent, with a common variance of 5, i.e. V (X) = V (Y) = V (Z) = 5
Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)
= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)
= (6 × 5) - 0 + 0 - 0
= 30
Thus, the value of Cov (2X+Y, 3X-4Z) is 30.
The value of a = -6. And, Cov (2X+Y, 3X-4Z) = 30.
Calculation of the value of a and cov:Since
Cov (aX, bY) = a·b·Cov (X, Y)
Cov (X, X) = V (X)
Cov (X, a) = 0
In the case when X and Y are independent so Cov (X, Y) = 0.
Now
Cov(2X, -3Y+2) = a⋅Cov (X,Y)
Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)
(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
a = -6.
(c)
here
Suppose that X, Y, and Z are independent, with a common variance of 5, i.e.
V (X) = V (Y) = V (Z) = 5
So,
Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)
= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)
= (6 × 5) - 0 + 0 - 0
= 30
Thus, the value of Cov (2X+Y, 3X-4Z) is 30.
Learn more about variance here: https://brainly.com/question/24138432
Pls answer fast Y=Mx+b for x
Answer:
y=mx+b
y=mx+b-b
y-b=mx
y-b/m = mx/m
y-b/m = x
Answer:
x = (y - b)/M.
Step-by-step explanation:
y = Mx + b
Mx = y - b
x = (y - b)/M.
Explain what the quote means please.
"In today's competitive job market, it's important to realize that finding a job is in itself a full-time job."
This quote means that finding a job is a tough task and it takes much time, due to competition.
What is a job market?The job market refers to the state of employment opportunities. It is conditions for job seekers in a particular industry, geographic region, or overall economy.
It includes factors such as the demand for labor, the number of available job openings, the qualifications required for those jobs, and the compensation and benefits offered to employees.
The job market can vary depending on economic conditions, industry trends, and government policies, among other factors. Job seekers and employers both use the job market to evaluate the availability and competitiveness of employment opportunities. Finding a job is a tough task.
Learn more about job markets, here:
https://brainly.com/question/14662793
#SPJ2
The local furniture store pays $300 for a dining room table and sells it with a 40% markup. What is the selling price of the dining room table? \
Selling Price = ?, Cost + Markup = ?
Answer:
$420
Step-by-step explanation:
Cost to the furniture store: $300
Markup: 40%
40% * $300 = $120
The markup is $120
Selling price = cost + markup = $300 + $120 = $420
Answer: $420
Each costume needs 46 centimeters of red ribbon and 3 times as much yellow ribbon. What is the total length of the ribbon needed for 64 costumes? Express your answer in meters.
Answer:
I think its 117.76 meters
Step-by-step explanation:
you multiply the 46 x 3 then you get 138 yellow ribbon then 138 + 46 then its 184 then 184 x 6 = 11776
Answer:
117.76 meters
Step-by-step explanation:
46x64=2,944 (red ribbon)
46x3=138x64=8,832 (yellow ribbon)
8,832+2,944=11,776 (all ribbon)
11,776 centimeters converted into meters is 117.76 meters
f(x)=3x+1 what is the value of f(-2/3)
Answer:
f = -1
Step-by-step explanation:
f(x) = 3x + 1
f(-2/3) = 3(-2/3) + 1
f = -2 + 1
f = -1
Answer:
= -2f/3
Step-by-step explanation:
find the measure of an interior angle of a regular polygon that has 10 sides
Answer: The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440. We found this by using the formula (n-2)(180). Thus, to find the measure of each interior angle we simply divide the sum by the number of total sides in the polygon. 1,440/10 = 144.
Step-by-step explanation: Hopefully this helps!
Please help!!
x^2-2x+1-9y^2
Answer:
[tex]\left(x-1+3y\right)\left(x-1-3y\right)[/tex]
Step-by-step explanation:
[tex]x^2-2x+1-9y^2\\\\factor(skip for time)\\\\\left(x-1\right)^2-9y^2\\\\[/tex]
A little algebra process later...
you got the answer
Hoped this helped ya
<3
RedAnswer:
(x-1-3y) x (x-1+3y)
Step-by-step explanation:
x^2-2x+1-9y^2
Using a^2 - 2ab + b^2 = (a-b)^2 (factor the expression) = (x-1)^2 - 9y^2
(x-1)^2 - 9y^2 = (x-1-3y) x (x-1+3y) should be the answer :)
Need help got until 12:10
Please help. I will mark brainliest.
Answer:
andrew gets 15 dollars a hour
and andr