Find the length of PC , the distance between San Cristobal and Panama. Show your work. Remember to scale the distance up by a factor of 10.
Answer:
Step-by-step explanation:
In a statistics activity, students are asked to determine the proportion of times that a spinning penny will land with tails up. the students are instructed to spin the penny 10 times and record the number of times the penny lands tails up. for one student, it lands tails side up six times. the student will construct a 90% confidence interval for the true proportion of tails up. are the conditions for inference met?
Using the Central Limit Theorem, it is found that the conditions for inference are not met, as there are less than 10 successes and less than 10 failures.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, we have that np = 6 < 10, n(1-p) = 4 < 10, hence the conditions for inference are not met.
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One ball is selected at random from a bag containing 12 balls of which x are white
a) what is the probability of selecting a white ball?
when a further 6 were white balls were added the probability of selecting a white ball is doubled
b) Find x
Answer:
a) 12/18
b) 6
Step-by-step explanation:
If adding 6 white balls doubles the probability then the original amount of balls is 6 and with the new amount of 18, the likelihood of picking a white ball becomes 12/18.
Simplify 7x²-x²
how to simplify this maths question
Hi student, let me help you out! :)
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We are asked to simplify the expression [tex]\large\pmb{7x^2-x^2}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Combine like terms! :)That's exactly what we need to do - combine like terms.
So, we subtract:
[tex]\star~\large\pmb{7x^2-x^2}[/tex]
Which gives us:
[tex]\star~\large\pmb{6x^2}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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A number cube is rolled 15 times how many times would you expect a number less than 3 to be rolled
Answer:
45
Step-by-step explanation:
how many number you rolled 3 times how many times its rolled 15 x 3 +45
Therefore,the answer would be 45
If a baseball player hits 10 home runs in the first 45 game, at the same rate how many home runs can he expect to hit during the 162 game season
Using proportions, it is found that he can be expected to hit 36 home runs during the 162 game season.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the player hits 10 home runs in 45 games, hence the proportion is:
p = 10/45.
Then, in 162 games, the amount is:
HR = 10/45 x 162 = 36.
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Kelly made fruit punch to serve at a party for her chess team. She mixed 1
2/5
liters of cranberry juice and 1
3/5
liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass?
Answer:
1/3 liters. or 33.33333 ml
Step-by-step explanation:
1 2/5 + 1 3/5 = 3
3 liters of juice is there.
3 liters of juice/9 glasses.
1/3 liters of juice is in every glass
Which point is one fourth of the way between point A and point B on the line segment AB shown on the coordinate plane below?
The coordinate of the point between point A and point B on the line segment AB is [tex](\frac 92, -\frac{19}4)[/tex]
How to determine the point?The points are given as:
A = (4,-5)
B = (6,-4)
m : n = 1 : 3
The coordinate of the point is then calculated using:
[tex]P = \frac{1}{m + n}(mx_2 + nx_1,my_2 + ny_1)[/tex]
So, we have:
[tex]P = \frac{1}{1 + 3}(1 * 6 + 3 * 4, 1 * -4 + 3 * -5)[/tex]
Evaluate the sum of product
[tex]P = \frac{1}{4}(18, -19)[/tex]
Evaluate the product
[tex]P = (\frac 92, -\frac{19}4)[/tex]
Hence, the coordinate of the point is [tex](\frac 92, -\frac{19}4)[/tex]
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represent the sum of 3/4 and -5/8 is ???
3/4 + -5/8
---Find a common denominator
6/8 + -5/8
---Simplify
1/8
Hope this helps!
Answer:
3/4 + -5/8 = 1/8
Step-by-step explanation:
When adding fractions, you always need to find a common denominator. 4 and 8 share a common denominator of 8.
You multiply 3/4 by 2/2 and get 6/8.
When adding negative numbers, it is the same as subtracting.
6/8 + (-5/8) =
6/8 - 5/8 = 1/8
So 1/8 is the answer.
I hope this helps!
Which polynomial are in standard form
Answer:
A and C
Step-by-step explanation:
Exponent from biggest to lowest
Factorise completely 12 x³y - 18 xy²
Answer:
6xy(2x²-3y)
Step-by-step explanation:
factorized completely
The slope of a line is 7/8 The y-intercept of the same line is 4
Complete the slope-intercept form equation
Answer:
y = -7/8x + 4
Step-by-step explanation:
Slope-intercept form :
y = mx + b
m = slopeb = y-interceptHence, the equation formed is :
y = -7/8x + 4a five question multiple choice quiz has five choices for each answer. use the random number table provided, with 0's representing incorrect answers, and 1's representing correct answers to answer the following question: what is the experimental probability of correctly guessing at random exactly zero correct answers?
The experimental probability of correctly guessing at random exactly zero correct answers is (4/5)⁵
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, total multiple choice quiz = 5 questions
Each question contains 5 choices in which 1 choice is correct and remaining 4 are incorrect.
Possibility of first wrong choice = 4/5
Possibility of second wrong choice = 4/5
Possibility of third wrong choice = 4/5
Possibility of fourth wrong choice = 4/5
Possibility of fifth wrong choice = 4/5
Overall probability for Zero correct answer=(4X4X4X4X4)/(5X5X5X5X5)
= (4/5)⁵
Thus, the experimental probability of correctly guessing at random exactly zero correct answers is (4/5)⁵
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Which is true about the functional relationship shown in the graph?
Help!! Also the questions says “Which of the following shows JUST a variable?”
the diagram shows a sector of a circle radius 10cm
calculate the perimeter of the sector
give answer to 1 decimal place
Answer:
[tex]\text{Perimeter of sector = 43.6 (Rounded to the nearest tenth.)}[/tex]
Step-by-step explanation:
[tex]\text{Perimeter of the sector = Radius + arc length + radius}[/tex]
[tex]\text{Radius = 10 cm}[/tex]
[tex]\text{Perimeter of the sector = 10 + arc length + 10 }[/tex]
[tex]\text{Perimeter of the sector = 20 + arc length }[/tex]
[tex]\text{arc length = (sector angle/ 360 ) * perimeter of the circle}[/tex]
[tex]\text{Perimeter of a circle }=2\pi r[/tex]
[tex]\text{sector angle} = 135[/tex]
[tex]\text{arc length} = (135/ 360 ) * 2\pi (10)[/tex]
[tex]= (3/8) 20\pi[/tex]
[tex]= 15\pi /2[/tex]
[tex]\text{Using }\pi =3.14[/tex]
[tex]= 15 * 3.14 /2[/tex]
[tex]= 23.55[/tex]
[tex]\text{Perimeter of the sector = 20 + 23.55}[/tex]
[tex]= 43.55[/tex]
[tex]= 43.6 cm[/tex]
[tex]\text{perimeter of the sector = 43.6 cm }[/tex]
Slope of (-9,-2) and (-9,-6)
Answer:
Slope is undefined.
Step-by-step explanation:
A coffee table is on sale for 20% off the original price of $115. If there is 7.5% sales tax, what is the final price of the coffee table?
Answer:
The final price for the coffee table is $98.9.
Step-by-step explanation:
1. First, is to convert the percentage to decimal form
We can do this by changing 7.5% to decimal number by dividing 7.5 by 100, we get:
\frac{7.5}{100}
100
7.5
= 0.0750.075
2. Then multiply 0.075 to the original price of $115
0.075(115) = 8.625
Then, add 8.625 to the original price of $115, we get:
115 + 8.625 = $123.625
3. After this, we subtract the 20% discount to $123.625
We can do this by converting 20% to decimal form, we get:
\frac{20}{100}
100
20
= 0.20.2
Then, multiply $123.625 by 0.2, we get:
123.625(0.2) = $24.725
4. Then subtract 24.725 from $123.625, we get:
123.625 -123.625−24.725 = $98.9
Final price of the table coffee which is on sale by 20% with a sales tax of 7.5% is $98.9.
A company has a budget of $1,700 for a banquet. A banquet hall charges $150 to rent a room, plus $30 per guest. What is the maxiumum number of guests that can attend the banquet for the costs to remain under the budget?
Answer:
51 guests
Step-by-step explanation:
150+30x
1700=150+30x
1550=30x
x=1550/30=51
What is the phenotypic ratio of the offspring? 1:1:1:1:2:2:2:2:4 1:3:3:9 1:4 4:12
The phenotypic ratio of the offspring as shown in the given Punnett square is: 1:3:3:9.
What is Phenotypic Ratio?Phenotypic ratio is quantitative relation of the number of offspring of a cross that manifest a certain combination of traits or characteristic.
From the Punnett square given, there are:
9 round and yellow individuals3 round and green individuals3 wrinkled and yellow individuals1 wrinkled and green individualsTherefore, the phenotypic ratio would be: 1:3:3:9.
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Answer:
B it the answer 1:3:3:9
Step-by-step explanation:
Please help me thank you :3
Quadrilaterals are angles that has 4 sides and angles. The measure of the angle m<SPQ is 110 degrees
Angles in a quadrilateralQuadrilaterals are angles that has 4 sides and angles. The given quadrilateral is a rhombus with equal opposite sides.
Given the following angles
m<SPR = 2x + 15
m<QPR = 3x - 5
From the figure
m<SPR = m<QPR
Substitute
2x+ 15 = 3x - 5
2x - 3x = -5 - 15
x = 20
Determine the measure of <SPQ
m<SPQ = 3x - 5 +2x +15
m<SPQ = 5x + 10
m<SPQ =5(20) + 10
m<SPQ = 110 degrees
Hence the measure of the angle m<SPQ is 110 degrees
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A parallelogram has a base of 16 centimeters and a height of 12 centimeters. What is the area of the parallelogram?
I think it's 192, am I correct?
Answer:
Correct (192)
Step-by-step explanation:
The formula for a parallelogram's area is just base times height. 16x12 is equal to 192, so you are correct.
A parallelogram can be:
The square, which has all its sides of equal length, and all its angles are right angles. The rhombus, which has all sides of equal length, and only two pairs of congruent angles. The rectangle, which has only its opposite sides of equal length, and all its angles are right angles.Therefore we calculate the rectangle of a square, which is a parallelogram.
To start solving, we obtain the following data:
Area = 16cmHeight = 12cmArea = ? ===> (It is the result that we are going to obtain)The formula to calculate the area is:
[tex]\bf{a=b*h }[/tex]
To calculate the area, multiply the base by the height (which is represented in "h")
We clear formula, calculate the area:
[tex]\bf{A=(16 \ cm)(12 \ cm) \ \ \ ==== > \ Multiply }[/tex]
[tex]\bf{A=192 \ cm^{2} }[/tex]
Answer: The area of the parallelogram is 192 cm2. So if you're right, it was a rectangle.
The volume of air in a balloon is represented by the function v(r)=4/3 pi ^3, where r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function r(t) = 1².
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements.
a group of students is collecting books to add to their library. the table shows the number of books in the library after 1, 3, and 5 days. if the relationship between days and books continues to be linear, which ordered pairs could appear in the table? check all that apply.
The options B and E are the correct answer.
We have given that,
A group of students is collecting books to add to their library.
The table shows the number of books in the library after 1, 3, and 5 days. if the relationship between days and books continues to be linear
We have to determine which ordered pairs could appear in the table.
What is the linear points?
The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation.
If all variables represent real numbers one can graph the equation by plotting enough points to recognize a pattern and then connect the points to include all points.
B and E are the correct answer. Because (2,23) and (7,48) are linear.
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what is 1/10 as a decimal does it equal 0.1
What is the value of f(x) when x=3?
find the altitude of a kite where 120 feet of string makes a 64 degree angle to the ground
Answer:
107.86 to 2 d.p.
Step-by-step explanation:
makes a triangle. 120 feet is the hypotenuse.
we want to find the opposite so we will use sine.
sin(x) = opp/hyp which means opp = sin(x)hyp.
opp = sin(64)120
opp = 107.86 to 2d.p.
The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was bought at a wholesale price of \$113.00$113.00dollar sign, 113, point, 00, and Jessica's Furniture Store marks up all furniture by 45%, percent.
Given the mark up of all furniture in the store, the price that the manager should charge for the couch that just arrived is $163.85.
How much should the manager charge for the couch that just arrived?Given that;
Purchase price = $113.00 marks up = 45%Selling price = ?First, we determine the mark price.
Since the Furniture Store marks up all furniture by 45%.
Mark up price = mark up × purchase price
Mark up price = 45% × $113.00
Mark up price = 0.45 × $113.00
Mark up price = $50.85
Now, the selling price will be;
Selling price = Purchase price + mark up price
Selling price = $113.00 + $50.85
Selling price = $163.85
Given the mark up of all furniture in the store, the price that the manager should charge for the couch that just arrived is $163.85.
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When θ = 0, cos θ = 1. What is the next radian value that will result in cos θ = 1?
WILL MARK BRAINLIST!!
I NEED THE ANSWER STEP BY STEP.
find the smallest number by which 1323 must be divided so as to get a perfect square number. Also, find the square root of the square number so obtained.
Answer:
It is 49. You will know it is right down here:
Step-by-step explanation:
1323 when factorised = 3 *3*3*7*7
Therefore it is to be divided by 7*7 = 49
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