Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
Approximately what portion of the box is shaded blue?
A.1/3
B.1/10
C. 1/6
4. There are 20
students in a rath
class. The ratio of
boys to girls is 3:2.
a) How many boys
are in the class?
b) How many girls
are in the class?
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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Is this table proportional?
XY
4 8
5 10
6 12
10 20
Answer: Yes b/c everything gets multiplied by 2
24-(8÷2)+6 I need help, please somebody answer
Answer:
26
Step-by-step explanation:
STEP
1
:
4
Simplify —
1
Equation at the end of step
1
:
(24 - 4) + 6
STEP
2
:
Final result :
26
Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work. make sure you put complete sentences
Answer: store b because you can get more ground beat.
Step-by-step explanation:
through: (-5,1), parallel to y = -2/3x +2
Answer:
y = -2/3x-1
Step-by-step explanation:
What is the measure of ZB?
Answer:
∠ B = 116°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ B + 28° + 36° = 180°
∠ B + 64° = 180° ( subtract 64° from both sides )
∠ B = 116°
Answer:
116°Step-by-step explanation:
The sum of interior angles of a triangle is 180°
so
180 - 36 - 28 =
116°
Alan needs to mix 3 tablespoons of salt with 5 tablespoons of vinegar to make a cleaning solution. How many tablespoons of salt are needed for each tablespoon of vinegar? (5 points)
Question 3 options:
1)
tablespoons
2)
tablespoon
3)
tablespoon
4)
tablespoon
Answer:
the answer 3/5 lets hop i ace it
Step-by-step explanation:
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 %
One month Chris rented 7 movies and 9 video games for a total of $71. The next month he rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.
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
help me plzzz its too hard
Approximately what portion of the box is shaded blue?
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
Answer: 1/2
(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°.
Please help me solve this
BA=(3),(3),(-1) is the answer
i have a question yall
Even though you can take drivers ed at 14 but you cant get ur license till 15 would you take drivers ed at 14 or 15
answer asap
The aquarium owns two research boats that will be docked next to the new building. The Delfino recently took 5 hours to cover 57.5 miles of shoreline. On its last research voyage, the Balina surveyed 54 miles in 4.5 hours. Which boat is faster?
The Delfino can travel at a rate of ______________ miles per hour (mph).
The Balina can travel at a rate of ______________ miles per hour (mph).
Answer:
The Balina is faster than the Delfino.
Step-by-step explanation:
Divide the amount of miles covered by the amount of hours it took for each one.
For the Delfino:
57.5 / 5 = 11.5
For the Balina:
54 / 4.5 = 12
You're welcome T^T
Write in expanded form
1) 531.029
Answer:
expanded for everything
Step-by-step explanation:
Expanded Form of 531.029:
531.029 = (5 * 102) + (3 * 101) + (1 * 100) + (2 * 1/102) + (9 * 1/103)
531.029 = (5 * 100) + (3 * 10) + (1 * 1) + (2 * 1/100) + (9 * 1/1,000)
531.029 = 500 + 30 + 1 + 2/100 + 9/1,000
531.029 = 500 + 30 + 1 + 0.02 + 0.009
Which inequality represents the phrase below? a number more than 72 A. x < 72 B. x > 72 C. x > 71 D. x = 72
Answer:
the answer is. C.i hope this helps sorry if im wrong
Answer this please please
Answer:
x is less than -3
Step-by-step explanation:
3x^2+9x<0
x^2+3x<0
x(x+3)<0
x+3<0
x<-3
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
A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of sugar to water
in the mixture?
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
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
QUESTION 19 PLEASE HELP ME ASAP
Answer:
changes over time
Step-by-step explanation: its going up not staying at one spot
Which pair of points has a slope of 4? Question 4 options: (0, –3), (1, 1) (3, 0), (–1, –1) (1, 4), (–1, 4) (0, 4), (4, 0)
Answer:
(0,-3), (1,1)
Step-by-step explanation:
The radius of the circle shown below is 8 centimeters. What is the
approximate length of XY?
115
A. 50.3 cm
B. 16.1 cm
C. 8.0 cm
D. 64.2 cm
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.
Tom is applying for a visa.
He has to pay £2,400 for the visa as well as a 8% charge on the visa price for an on-the-day service.
If Tom has 1 year to save, how much money should he save per month to be able to cover his costs?
Round your answer to the nearest £10.
Answer:
100
Step-by-step explanation:
The total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).
What is the amount?" Amount is defined as the total of all the given quantities as per given conditions."
According to the question,
The amount required to pay for a visa [tex]= \£ 2,400[/tex]
Percentage charges on the visa price as day service[tex]= 8\%[/tex]
Amount as day charge [tex]= 8\%[/tex] of [tex]2400[/tex]
[tex]= \frac{8}{100} \times 2400\\\\= \£192[/tex]
The total amount required for a visa [tex]= \£ (2400 + 192)[/tex]
[tex]= \£ 2592[/tex]
Tom has one year to save,
Therefore,
Amount Tom save in one month [tex]= \frac{2592}{12}[/tex]
[tex]=\£ 216[/tex]
≈[tex]\£ 220[/tex] ( round to nearest [tex]\£ 10[/tex])
Hence, the total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).
Learn more about the amount here
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