The perimeter of the triangle is 10.47 units
The distance between two points is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the points R(2,1), S (2,5), and T(4, 1). Hence:
[tex]RS=\sqrt{(5-1)^2+(2-2)^2}=4\ units[/tex]
[tex]RT=\sqrt{(1-1)^2+(4-2)^2}=2\ units\\\\ST=\sqrt{(4-2)^2+(1-5)^2}=4.47\ units[/tex]
The perimeter of the triangle = 4 + 2 + 4.47 = 10.47 units
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SOMEONE PLEASE HELP QUICKLY
A commercial claims that 8 out of 10 dentists recommend a certain brand of toothpaste. To test this claim, a random sample of 85 dentists is obtained. Of these 85 dentists, 73 indicated that they recommend that brand of toothpaste. Using a significance level of 5%, test the claim to see if the proportion of dentists who recommend this toothpaste is not 8 of 10.
a) State the null and alternative hypotheses
b) State the p value
c) Make a conclusion about the claim
Answer:
rgb
Step-by-step explanation:
wrtbtrb
a) The null hypothesis is: p = 0.8 and the alternative hypothesis is p ≠ 0.8.
b) p-value is 0.0838
c) We accept the null hypothesis
What are null and alternative hypothesis?The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.
What is p-value?A p-value is a statistical measurement used to validate a hypothesis against observed data.
a. Let p be the proportion of 8 out of 10 dentists.
The null hypothesis is
[tex]H_0 : p=\frac{8}{10}=0.8[/tex]
The alternative hypothesis is
[tex]H_1:p\neq 0.8[/tex]
b. The sample proportion [tex]\hat p=\frac{73}{85}\approx 0.86\\[/tex]
Z-score, the test statistic is
[tex]Z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}}{n} } \\\\Z=\frac{0.86-0.8}{\frac{\sqrt{0.8(1-0.8)}}{85} }\\ \\Z=\frac{0.06}{0.043386}\\ \\Z=1.3829\\\\Z\approx 1.38[/tex]
P(Z > 1.38) = 1 - P(Z < 1.38)
∴ P(Z > 1.38) = 1 - 0.9162 = 0.0838
p-value is 0.0838
c. Since the p-value is greater than the level of significance α=0.05, we reject the alternative hypothesis and accept the null hypothesis
For more information on null hypothesis: https://brainly.com/question/19263925
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Need help with math
I have no idea math should have been working hade books bye sorry
Solve each inequality 3+1/2(3-x)<-7
Answer:
You can download app to help you I hope you find your answer
Please help me solve this
BA=(3),(3),(-1) is the answer
can someone help me with this math problem?
Answer:
∠ B ≅ ∠ E
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent
ABC ≅ DEF
The corresponding angles are B and E
Answer:
The answer is [tex]\angle B\cong \angle E[/tex]
Step-by-step explanation:
Given that
[tex]\Delta ABC \cong \Delta DE[/tex][tex]F[/tex]
Hence corresponding angles are congruent
[tex]\angle B\cong \angle E[/tex]
x and y simplifying problem. Please explain how to do thiese. I will gove 15 points
[tex]\dfrac 56 x + \dfrac25 y - \dfrac14 x + \dfrac3{10} y[/tex]
First, combine like terms:
[tex]\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y[/tex]
Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.
[tex]\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}[/tex]
[tex]\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}[/tex]
So the simplified expression would be
[tex]\dfrac7{12} x + \dfrac7{10} y[/tex]
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
answer is below
Step-by-step explanation:
ok so i kinda want u to learn so im just gonna tell you how to do them!
for the first set, what you do is put (y2-y1)/(x2-x1). for example, (16-6)/(3-18) is the slope.
for the second set, every problem is in y=mx+b form, where m is the slope. so for example in 37 the slope is 1/2
for the third set, use midpoint formula. x is (x1+x2)/2, and y is (y1+y2)/2
hope this helps!
Julie goes to the store to buy grapes. Grapes cost $1.09 per pound. Write an equation to help Julie determine the total amount, y, she will pay for a given number of pounds of grapes, x?
Answer:
y=1.09x
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. 6y+4x=-12
Step-by-step explanation:
6y +4x=-12
6y=-4x-12
y= -4/6x -12/6
y= -2/3x -2
Is this table proportional?
XY
4 8
5 10
6 12
10 20
Answer: Yes b/c everything gets multiplied by 2
Suppose your family lives in Muntinlupa City (one of the West Valley Fault Line area) and decided to move in to the work place of your father in Teresa, Rizal which is approximately 50 km apart, if renting a van costs an initial amount of 4000php for maximum of 30km and an additional payment of 200php for every 5km, how much will your father pay in renting a van from Muntinlupa City to Teresa, Rizal? {attach only 1 picture of your table/answer}
Step-by-step explanation:
it is 50 km in total.
30 km are already covered by the initial rental amount (4000).
what is left is 50-30 = 20 km.
for these 20 km he has to pay 200 for every 5 km.
how many 5 km units are in 20 km ?
well, 20/5 = 4
so, he needs to pay additionally 200×4 = 800php.
therefore, the total cost will be
4000 + 800 = 4800php
Bidmass
Working out equations
Answer:
16
Step-by-step explanation:
5+15-8/4=
5+15-4=
16
Answer:
10/2+15-8/4= 18
Step-by-step explanation:
glad to help
3 more day till christmas
The table shows the transportation method of employees at a certain company. What percent of the total amount of employees drive a bus to work?
Car: 758
Bus:530
Walk:7
Other:105
Total:1400
Answer:
about 0.38 %
Step-by-step explanation:
Total = 1,400 Employees
Those who drive a bus = 530
530 / 1,400 = 0.378571428571429
round up = about 0.38 %
A merchant buys a television for $125 and
sells it after a 60% mark-up. How much does
he sell the television for?
Answer:
200
Step-by-step explanation:
60% of 125 is 75
75+125=200
hope this helped!!!
Answer:
I think the answer is $200.
Step-by-step explanation:
hope this helps.
through: (-5,1), parallel to y = -2/3x +2
Answer:
y = -2/3x-1
Step-by-step explanation:
Approximately what portion of the box is shaded blue?
A.1/3
B.1/10
C. 1/6
Which symbol correctly compares the two angle measures? pi/4 radians_____30°
A. <
O B. >
C. =
I don't know the answer and thats my guess :,)
Answer:
B. [tex]\frac{\pi }{4} Rad>30^{0}[/tex]
Step-by-step explanation:
[tex]\frac{\pi }{4} Rad=(180/4)^{0} =45^{0}[/tex]
Hope this helps
A circle has a radius of 2/2 units and a center at (-5, 1). Which point is located on the circle?
(-3,1)
(-3,2)
(-3,3)
(-3,4)
Answer:
(-3,1)
Step-by-step explanation:
2/2 x (-5,1)
Then the circle is (-3,1)
(100 points will award brainliest)
In the image below, the m
Answer: 67°.
Step-by-step explanation:
1) m∠PMR=m∠LMN=3x+19°;
2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;
3) if to solve the equation 3x+19+9x-31=180, then x=16;
4) m∠PMR=3x+19=48+19=67°.
26.52 x 90.7 step by step
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]26.52[/tex] × [tex]90.7 = 2405.364[/tex]
[tex]OR:[/tex]
Here's a paper I wrote of your answer.
Sorry, if my picture is blurry.
Hopefully, this helps you!!
[tex]Sokka[/tex]
In November 2017, the monthly profit of a company was £9,197
In December, Christmas increased sales and the profit has doubled.
What was the company's profit in December 2017?
Answer:
18394
Step-by-step explanation:
9197 × 2 = 18394 You double 91972
to work out the profit in December
I don’t understand this if someone can explain I got 13
Answer:
m = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 9x + 4 ← is in slope- intercept form
with slope m = - 9
alguien podria ayudarme?
Answer:
con que?
Step-by-step explanation:
If you subtract 3 from twice a number,the result is 25.find the number
14
This should be right!
The function y = 4x + 3 describes Player A's
scores in a game of trivia, where x is the number of
questions answered correctly and y is the score. The function
represented in the table shows Player B's scores. What do
the rates of change tell you about how each player
earns points?
The rates of change of points earned by both players tell us that;
Player A gains more point than Player B does for each correct answer in this round.
We are told that x is the number of
number ofquestions answered correctly and y is the score.
Now, for player B;
For 1 correct answer, he got a score of 4
For 2 correct answers, he got a score of 5
For 3 correct answers, he got a score of 6
For 4 correct answers, he got a score of 7
This means that rate of change of Player B is;
3 points for every extra question answered correctly. .
Now, the formula for player A's points is;
y = 4x + 3
Rate of change of points here is gotten by finding the derivative. Thus;
dy/dx = 4
This means player A earns 4 points for every extra question answered correctly.
In conclusion, it mean that Player A gains more point than Player B does for each correct answer in this round.
Read more on slope intercept form of equation at; https://brainly.com/question/19249035
Emilio borrows $1200 from a bank with 8% simple interest per year. How much is the interest
Answer:
96
Step-by-step explanation:
trust me I'm good at math
Given -3, -2,0,3,7 .... Find the next term
Answer:
12
Step-by-step explanation:
What is the greatest possible error for a measurement of 2 fluid Ounces?
Answer:
2.35
Step-by-step explanation:
2 x 2 eqaul 9 times 2
Given that in ABC, angle C is 12 less than 4 times x, angle A is 11 more than twice x, and angle B is 8 less than 3 times x. Find the m of angle
C
Answer:
m∠C = 72°
Step-by-step explanation:
The sum of the angles in the triangle is 180°.
A +B +C = 180°
(2x +11)° +(3x -8)° +(4x -12)° = 180°
9x = 189 . . . . . . . . divide by °, add 9
x = 21 . . . . . . . . . divide by 9
Angle C is ...
(4x -12)° = (4(21) -12)° = 72° . . . . angle C
_____
Additional comment
Angle A is 53°; angle B is 55°.
QUESTION 19 PLEASE HELP ME ASAP
Answer:
changes over time
Step-by-step explanation: its going up not staying at one spot