Answer:
10/9
Step-by-step explanation:
1/3+7/9=10/9
Step-by-step explanation:
= 1 + 7
3 9
= 9+21
27
= 28
27 ans
The odds that it will snow tomorrow are 9 to 6. What is the probability that it will not snow tomorrow?a) 0.1818
b) 0.2222
c) 0.1111
d) 0.1667
e) 0.8182
Answer:
a) 0.1818
Step-by-step explanation:
Given that:
The odd that it'll snow tomorrow is 9 to 6
The probability that it will snow tomorrow [tex]=\dfrac{9}{9+6}[/tex]
[tex]=\dfrac{9}{15}[/tex]
= 0.6
The probability that it'll not snow tomorrow [tex]= 1 - \dfrac{9}{15}[/tex]
[tex]= \dfrac{15-9}{15}[/tex]
[tex]=\dfrac{6}{15}[/tex]
= 0.4
Let assume that the odd that it'll snow tomorrow is 9 to 2
The probability that it will snow tomorrow [tex]=\dfrac{9}{9+2}[/tex]
[tex]=\dfrac{9}{11}[/tex]
= 0.8181
The probability that it'll not snow tomorrow [tex]= 1 - \dfrac{9}{11}[/tex]
[tex]= \dfrac{11-9}{11}[/tex]
[tex]=\dfrac{2}{11}[/tex]
= 0.1818
None of the options is correct.
Probability that it will not snow tomorrow = 0.4
The odds of an event E is defined as formulated in equation (1)
[tex]\rm Odd\; of\; event\; E = P(E)/P(\bar E) = P(E)/(1-P(E)).......(1)[/tex]
Let P(E) represents the probability that it will snow tomorrow.
Let event E represents the event that " it will snow tomorrow "
So the odds of the event that it will snow tomorrow
[tex]\rm \dfrac{P(E)}{P(\bar E)} =\dfrac{9}{6} = \dfrac{P(E)}{1-P(E)}.......(2)[/tex]
On solving equation (2) we get
[tex]\rm P(E) = \dfrac{9}{15}[/tex]
So the probability that it will snow tomorrow is 9/15
Hence the probability that it will not snow tomorrow
[tex]\rm P(\bar E) = 1- \dfrac{9}{15} = \dfrac{6}{15} =\bold{0.4}[/tex]
Probability that it will not snow tomorrow = 0.4
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1
After becoming completely blind at the age of
sixty-four, what did Leonhard Euler do?
Answer:
his remarkable mathematical flow continued without interruption – in fact, it increased.
Step-by-step explanation:
Jason family donated 12 cases of soup for the schools food drive. Each case had four rows with six cans of soup in each row. how many cans of soup did Jason's family donate in all?
Answer:
288
Step-by-step explanation:
4*7=24
24*12=288
how Is this not 20 characters
Help plzz Math honors algebra
Answer: n = 6. Hopefully this helps!
What is the amount earned by a car salesman if he sold a truck for $37.500 at a 2% commission? 15
Help !! Will mark brainlest !!
A flowering plant stands 6.5 inches tall when its placed under a growing light. Its growth is 0.25 inches per day. Which of the following equations represents this situation?
A- y=0.25x+6.5
B- y=6.5x+0.25
C- y= -0.25x+6.5
D- y= - 6.5x+0.25
Answer: the answer would be a-y=0.25x+6.5
three consecutive terms in a geometric sequence are r ,r+4, and r+6 in that order. Determine the value of r.
9514 1404 393
Answer:
r = -8
Step-by-step explanation:
The terms of a geometric sequence have a common ratio, so we have ...
[tex]\dfrac{r+4}{r}=\dfrac{r+6}{r+4}\\\\1+\dfrac{4}{r}=1+\dfrac{2}{r+4}\\\\4(r+4)=2(r)\qquad\text{subtract 1, cross multiply}\\\\2r=-16\qquad\text{subtract $2r+16$}\\\\\boxed{r=-8}\qquad\text{divide by $2$}[/tex]
_____
Then the terms of the sequence are ...
-8, -4, -2, ...
and the common ratio is 1/2.
Answer: r = -8
Step-by-step explanation:
Given that 3x – tan y = 4, what is dy/dx in terms of y?
Answer:
[tex]\frac{dy}{dx}[/tex] = 3 cos² y ⇒ B
Step-by-step explanation:
∵ 3x - tan(y) = 4
∵ The differentiation of tan(y) with respect to x is sec² y · dy/dx
∵ The differentiation of 3x with respect to x is 3
∵ the differentiation to 4 with respect to x is 0
∴ d/dx [3x - tan(y) = 4] is 3 - sec² y · dy/dx = 0
∵ 3 - sec²(y) · dy/dx = 0
→ Subtract 3 from both sides
∴ - sec² y · dy/dx = -3
→ Divide both sides by -1
∴ sec² y · dy/dx = 3
→ Divide both sides by sec²(x)
∴ [tex]\frac{dy}{dx}=\frac{3}{sec^{2}y}[/tex]
→ Remember [tex]\frac{1}{secy}[/tex] = cos y
∵ [tex]\frac{1}{sec^{2}y}[/tex] = cos² y
∴ [tex]\frac{3}{sec^{2}y}[/tex] = 3 cos² y
∴ [tex]\frac{dy}{dx}[/tex] = 3 cos² y
dy/dx of 3x – tan y = 4 in terms of y is;
dy/dx = 3cos²y
We are given;
3x - tan y = 4
Let's differentiate in terms of y to get;
3 - sec²y(dy/dx) = 0
This is because the derivative of tan y in terms of y is sec²y(dy/dx).
Thus, using addition property of equality, we have;
3 = sec²y(dy/dx)
Now, in trigonometric ratios;
sec y = 1/cos y
Thus;
sec²y = 1/cos²y
Therefore;
3 = (1/cos²y) (dy/dx)
Thus;
dy/dx = 3cos²y
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The world's largest fruitcake was made by Dr.Fabrizio Sepe of Italy.It was 4,353kg.If each serving size was 200 grams.How many people could the fruitcake serve?
Answer:
i believe your answer would be 21,765
Step-by-step explanation:
since there are 1000 grams in a kilogram the equation would be 4353÷.200
A company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 56 had a
mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.8
Step-by-step explanation:
i believe it would be 56/7000 and you multiply your answer 0.008 by 100 so 0.8 had a mild reaction
Answer:
0.8%
Step-by-step explanation:
Think of it as a fraction: 56/7,000. To get a percent you want to simplify the denominator to 100. Then what you do to the denominator, you must do to the numerator, so simplify 56 by the number you simplified 7,000 to get to 100. Then you will have your answer of 0.8%.
A plane is flying at 35,000 feet. it ascends 1,500 feet to avoid turbulence. it decends 3/5 of its new height to prepare for landing. what are the heights of the plane after it ascends and descends. (you need 2 answers)
Answer:Ascending Height : 36,500 feet Descending Height : 14,600 feet
Step-by-step explanation:
what is principal in simple intrest
(h)/(15)=(16)/(3) i need help- someone help please?
Answer:
h=80
Step-by-step explanation:
Hope this helps and have a great day :)Answer:
H=80
Step-by-step explanation:
15 divided by 5 equals 3, so that means H divided by 5 equals 16. Flip it so your doing 16*5=80.
A 3x33 cube is built out of twenty-seven 1x1x1 blocks. Then,
seven ixi blocks are removed. Specifically, the center block
from each of the six faces of the cube is removed and the center
block of the cube is removed. What is the total surface area of
the modified cube?
Answer:-7^2(negitive seven to the second power)
Step-by-step explanation:
Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left corner measures 80°.
A parallelogram is shown. The top left angle is x degrees and the bottom left angle is 80 degrees.
What is the value of x?
40
50
100
160
Answer:
X=100
Step-by-step explanation
you gotta get to 180 so add that hunid
The value of x in the parallelogram described is: C. 100°
How do You Find Angles of a Parallelogram?In a parallelogram, opposite angles are congruent, adjacent or consecutive angles are supplementary.
x degrees and 80 degrees are consecutive angles in the parallelogram described.
Therefore:
x + 80 = 180
x = 180 - 80
x = 100°
Therefore, the value of x in the parallelogram described is: C. 100°
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what do you think was the porpuse of this advertisement?
Answer:
The purpose of advertising is to inform the consumers about their product and convince customers that a company's services or products are the best, enhance the image of the company, point out and create a need for products or services, demonstrate new uses for established products, announce new products and programs.
Which of these expressions is the simplified form of the expression (Sin(x)/1-cos^2(x)) tan(x/2)?
Edge 2020
Answer:C
1/1+cos(x)
Step-by-step explanation:
Simplifird form of the given trigonometric expression will be,
[sinx / (1 - cos²x)] × tan(x/2) = 1 /(1 + cosx)
Simplification of a trigonometric expression:
Given expression in the question,
[tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})[/tex]
= [tex]\frac{\text{sinx}}{\text{sin}^2x}\times \text{tan}(\frac{x}{2} )[/tex]
= [tex]\frac{1}{\text{sin}x}\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]
= [tex]\frac{1}{\text{2sin}\frac{x}{2}\text{cos}(\frac{x}{2} ) }\times \frac{\text{sin}(\frac{x}{2})}{\text{cos}(\frac{x}{2} )}[/tex]
= [tex]\frac{1}{\text{2cos}^2{\frac{x}{2} }}[/tex]
Use the identity → ([tex]2\text{cos}^2x=1+\text{cosx}[/tex])
= [tex]\frac{1}{1+\text{cos}x}[/tex]
Hence, [tex]\frac{\text{sinx}}{1-\text{cos}^2x}\times \text{tan}(\frac{x}{2})=\frac{1}{1+\text{cosx}}[/tex] will be the answer.
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1. Petra works as a delivery person for a restaurant. The graph shows a linear model for her
delivery times on different days.
Petra's Deliveries
Delivery time (min)
Time (days)
(a) Label the two points on the graph. (Hint: ( D]
(b) What is the slope of the line? Show your work.
(c) Write the equation of the line in point slope form? Show your work.
Answer: The points are, the top left one, (21,3) and the one on the bottom is (6, 12)
Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.
Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3
Answer:
The points are, the top left one, (21,3) and the one on the bottom is (6, 12)
Step-by-step explanation: For the slope, we label one of the points, with y or x. For example, (21, 3) we would label 21 either y1 or x1. Say we put y2, then 3 would be x2. Moving on, (6,12) this time we could label 6 as either y1 or x1. Same thing, but this time we are going to label 6 as y1 and 12 x1. Again, it’s DOES NOT matter what you label them as.
Now to solve it, remember y numbers always go on top! M which is slope. M = y2 - y 1 / x2 - x 1 or with the numbers M = 21 - 6 / 12 - 3 = 15/9 simplified = 5/3
Step-by-step explanation:
Write the null and alternative hypotheses in words and then symbols for each of the following situations.
a. A tutoring company would like to understand if most students tend to improve their grades (or not) after they use their services. They sample 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year.
b. Employers at a firm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc. They also collect data on how much company time employees spend on such non-business activities during March Madness. They want to determine if these data provide convincing evidence that employee productivity changed during March Madness.
Answer:
A) the hypothesis in words and symbols are;
Null hypothesis: Grades have not improved for most students
Alternative hypothesis: Grades have improved for most students
Null hypothesis; H0: p^ = 0.5
Alternative hypothesis; Ha: p^ > 0.5
B) Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities
Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities
Null hypothesis; H0: μ = 15
Alternative hypothesis; Ha: μ > 15
Step-by-step explanation:
A) We are told that they sampled 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Thus, there will be a 50% chance of success for their grades to have improved and a 50% chance for it to remain the same.
Thus; p^ = 0.5
So the hypothesis in words and symbols are;
Null hypothesis: Grades have not improved for most students
Alternative hypothesis: Grades have improved for most students
Null hypothesis; H0: p = 0.5
Alternative hypothesis; Ha: p > 0.5
B) We are told that they estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc
Also, They also collect data on how much company time employees spend on such non-business activities during March Madness.
The hypotheses in words and symbols are;
Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities
Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities
Null hypothesis; H0: μ = 15
Alternative hypothesis; Ha: μ > 15
The Null hypothesis is the initial truth which we would like to counter using the alternative hypothesis. The Null and Alternative hypothesis for the given situation are :
1.)
Null hypothesis : There have been no change in the grade obtained by the students.
Alternative hypothesis : The grade obtained by the students have improved as students now attain better grades after attending the tutoring class
Using symbol :
[tex] H_{0} : \hat {p} = 0.5 [/tex][tex] H_{1} : \hat {p} > 0.5 [/tex]2.)
Null hypothesis : There is no change in the productivity of employees during the period as the amount of time spent on non-business activities remains the same.
Alternative hypothesis : There is a change in productivity has employees spend more than 15 minutes engaging on non-business activities.
Using symbol :
[tex] H_{0} : μ ≤ 15 [/tex][tex] H_{1} : μ > 15 [/tex]Learn more : https://brainly.com/question/16819441
Tony is spending money at a constant rate. Suppose he initially has $1000, and after 4 months, he has $760,
Which of these expresses the rate at which Tony's amount of money is changing?
Answer:
$60 monthlyStep-by-step explanation:
Step one:
The initial amount that Tony has= $1000
final amount =$760
amount spent= 1000-760= $240
time taken is 4 months
Step two:
Required:
the rate of spending
we know that rate= quantity/time
rate= 240/4
rate= $60 per month
Hence Tony's amount is changing at $60 monthly
Answer: -60
Step-by-step explanation:
Simplify(-3)(-2)(-2) 1 point
Answer: -12
Step-by-step explanation:
First, multiply the numbers. -3 (-2) = 6 because a negative times a negative is a positive.
Then, multiply 6(-2) = -12 because a negative times a positive is a negative.
Therefore, the answer is -12.
Into a mixed number btw. Marcos talks to his grandfather in Alabama for about 95 minutes per month about how long does her talk each day on average? (Hint: use 1 month=30 days)
Answer:
The answer is 3.16666667 its simple u just divide 95 by 30
Step-by-step explanation:
Answer:
3.06451613
Step-by-step explanation:
You divide 95 by 31 to get 3.06441613
pls help me with long division
86÷3 =
*The divisor is 3 and the dividend is 86
First step: How many 3's can fit into 8? (8÷3)
8÷3 = 2 r 2
Second step: add a 2 above the eight in the tens place of the answer.
86÷3 = 2_
Third step: multiply 3 x 2; 3 x 2 = 6;
In this step, we put a 6 underneath the 8.
Fourth step: Subtract.
In this step, we subtract 8-6 (=2)
Fifth step: bring down the next number. In this case, it is 6.
In this step, we now have the number 26.
Sixth step: How many 3's can fit into 26? (26÷3)
26÷3 = 8 r 2
Last step: Now put an 8 in the one's place and now we have a remaining 2. That is called the remainder. We put the remainder and represent it as "r". We put r2.
I hope this was easy for you to understand!
Answer:
Step-by-step explanation:
2 8 R2
3[tex]\sqrt{86[/tex]
- 6
-------------
26
- 24
-----------
0 2
What is the equation of the line that passes through the points (-6,2) and (4,-3)
Answer:
The equation is: 9x-y = 56
Step-by-step explanation:
Given two point: (x,y) = (-6,2)
(x,y) = (4,-3)
Now, to find the slope of the line:
Slope = y1-y2/x1-x2 => 2-4/-6-(-3) = -1/9
Then, the equation of the line passing through a point:
=> y-y1 = m(x-x1)
=> y-2 = -1/9(x-6)
=> 1(y-2) = -9(x-6)
=> y-2 = -9x+54
=> 9x-y = 56
x-intercept=? y-intercept=? What is the slope?
Answer: x=1 y=-3
just look where the line touches mane
19. Theodore purchased a vintage painting from an art dealer worth $480. The dealer noted that the value of the painting will increase by 12 percent per year. What is the growth factor of the
painting?
All changes
12
480
0.12
1.12
The growth factor of the painting is 0.12
What is percent?"It is a ratio that can be expressed as a fraction of 100."
For given question,
The value of the painting will increase by 12 percent per year.
The 12% in decimal form,
[tex]=12\times \frac{1}{100}\\\\ =0.12[/tex]
So the growth factor of the painting is 0.12
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8 more than the quotient of a number and 2 is 14. find the number
Answer:
x = 12
Step-by-step explanation:
x/2 + 8 = 14Subtract 8 from both sides because it is the inverse operation of addition. x/2 = 6Multiply both sides by 12 because it is the inverse operation of division. x = 12Need help, quick, if anyone can, thank you in advance.
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Trust me I even used an algebra calculator.
Which equation is equivalent to the given equation?
7m + 11 = -4(2m + 3)
A. -m = = 1
B. -15 m = -23
C. -m = -1
D. 15m = -23
Please HELP
Is (2, 10) a solution to this system of inequalities? y 7 X 1 y > 4x + 2
yes it is, 700 is greater than 10.