The probability of finding a bottle filled with less than 1000 grams can be calculated using the standard deviation and the average weight.
We need to calculate the z-score for the value of 1000 grams using the formula: z = (x - μ) / σ, where x is the desired value, μ is the average, and σ is the standard deviation.
z = (1000 - 1030) / 20
z = -30 / 20
z = -1.5
Next, we find the probability associated with the z-score using a standard normal distribution table or calculator. In this case, we want to find the probability of a z-score less than -1.5.
Using a standard normal distribution table, the probability of finding a bottle filled with less than 1000 grams is approximately 0.0668, or 6.68%.
The probability of finding a bottle filled with less than 1000 grams is approximately 0.0668, or 6.68%. This means that there is a 6.68% chance of encountering a bottle that weighs less than the specified value of 1000 grams in the olive oil packing factory.
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Four less than a number is seventeen Define the variablewrite the equation solveanswer check
We define x as the number that we are looking for
now, we will write the equation following the conditions that they give us
\(4-x=17\)Now we pass -x to the right with opposite sign, and 17 to the left with opposite sign
\(4-17=x\)The we solve the substraction and we have
\(x=-13\)Finally, we can check if our answer actually fulfill the conditions given below
\(4-(-13)=\text{ 17}\)Cindy had $8,255 in her pocket she spent 9000 on a new iPhone
Input data
Pocket: 8255
Iphone: 9000
Procedure
Total = Pocket - Iphone
Total = 8255 - 9000
Total = -745
Cindy would owe a total of USD 745
(PLEASS HURRY IM BEING TIMED)
(05.03 MC) Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul's eyes, the mirror, and the ground are congruent as shown in the image below: What is the height of the house? Show your work and explain your reasoning in complete sentences. (10 points) Edit View Insert Table Format Tools 12pt v Paragraph v B B I U Av 2 T?v:
(Giving Brainliest)
Looks like you have 2 similar triangles.
all the angles from one triangle are congruent to all the angles from the other triangle.
The sides must be proportional.
Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.
Cross multiply h to get 6*25 = 5*x.
Divide both sides of the equation by 5 to solve for x to get:
x = 6*25/5 = 6*5 = 30.
The circumference of a circle is eight^r cm. what is the area in square centimeters
The required area of the circle is 50.24cm².
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle.
In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
So, we have the circumference:
8π
Now, calculate for π as follows using the circumference formula (2πr):
8π = 2πr
8π/2π = r
4 = r
Now, calculate the area when r = 4cm (πr²) as follows:
πr²
π(4)²
16π
50.24
Therefore, the required area of the circle is 50.24cm².
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Complete question:
The circumference of a circle is 8π cm. what is the area in square centimeters?
Is this statement true or false?
A down payment is paid before you begin monthly payments.
true
false
Answer:
True
Step-by-step explanation:
A down payment is mostly for deposit reasons with insurance. It also let's the landlord know you will be moving in soon. They will use that money for repairs when you move out. You have a chance of getting it pack if they find no damages :D
a number n is 8 more than a second number and 5 less than the third number. what is the second number in terms of n?
The second number in terms of n is x = n - 8.
Let the second number be x.
The fact that the first number is eight more than the second number is clear.
n = x + 8. ...(1)
It is given that the third number is five more than the first number
n + 5 = y ...(2)
We want to solve for x in terms of n, so we can use the first equation to get x in terms of n:
From equation 1 and 2
n + 5 = y = (x + 8) + 5
n + 5 = x + 13
x = (n + 5) - 13
x = n - 8
Therefore, the second number in terms of n is x = n - 8.
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A Flags amusement park is just opened
up. A year pass costs $150,
but if you buy a pass this month, you can
receive a $75 discount. What is the
percent discount you can save ?
Round your answer to the nearest
hundredth.
Answer:
50%
Step-by-step explanation:
All it asks," what percent of 150 is 75"
then, (75/150)*100=50
In a class of students, the following data table summarizes how many
students have a brother or a sister. What is the probability that a
student has a sister given that they have a brother?
To calculate the probability that a student has a sister given that they have a brother, we need to use conditional probability.
Let's analyze the data table:
Has Brother Has Sister
Yes 40 25
No 60 35
The number of students who have a brother is 40, and out of those, 25 also have a sister.
We can use theConditional probability is calculated by dividing the probability of the intersection of two events by the probability of the given event.
In this case, the given event is having a brother, and we want to find the probability of having a sister.
numbers to calculate the conditional probability.
Assuming that the data table includes the number of students with a brother and the number of students with both a brother and a sister, we can use these numbers to calculate the probability.
Let's denote the event of having a brother as B and the event of having a sister as S.
The probability of having a sister given that the student has a brother can be expressed as:
P(Sister | Brother) = P(Sister ∩ Brother) / P(Brother)
P(Sister ∩ Brother) is the number of students who have both a sister and a brother, which is 25 in this case.
P(Brother) is the number of students who have a brother, which is 40.
Therefore, the probability can be calculated as:
P(Sister | Brother) = 25 / 40 = 0.625
So, the probability that a student has a sister given that they have a brother is 0.625 or 62.5%.
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whats the ninth term of 25 20 15 10 5
Given:
The sequence is 25, 20, 15, 10, 5.
To find:
The ninth term of the given sequence.
Solution:
We have,
25, 20, 15, 10, 5
It is an AP because the difference between two consecutive terms are same.
Here,
First term (a) = 25
Common difference (d) = 20-25
= -5
The nth terms of an AP is
\(a_n=a+(n-1)d\)
Where, a is the first term and d is the common difference.
Putting a=25, n=9 and d=-5 to get the 9th term.
\(a_9=25+(9-1)(-5)\)
\(a_9=25+(8)(-5)\)
\(a_9=25-40\)
\(a_9=-15\)
Therefore, the ninth term of the given sequence is -15.
Dave is driving to Dallas, TX for the weekend from Austin, TX for the weekend. He is traveling along the tollway 130. The speed limit is 80 mph. There are approximately 1.6 kilometers in 1 mile. What is this limit in kilometers per hour?
We need to multiply the 80mph by the 1.6 to make it KPH
When done correctly we get the answer of 128KPH
The limit is 128kph
HOPE THIS HELPED. DONT FORGET TO MARK THIS AS THE BRAINLIEST ANSWER AND GIVE IT A 5 STAR SO OTHER PEOPLE CAN BE HELPED BY THIS ANSWER!! HAVE A NICE DAY!
2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. 4 angles are created. Clockwise, from the top, the angles are blank, (3 x) degrees, blank, (x + 40) degrees.
What is the value of x?
20
35
60
70
2 intersecting lines are shown. A line with points T, R, and W intersects a line with points S, R, and V at point R. the value of x is mathematically given as
x=20
This is further explained below.
What is the value of x?In most cases, two lines that cross one other are shown. In this example, line TW and line SV meet at point R.
The angles are as follows, starting at the top and moving clockwise:
blank,\(3x \textdegree\),blank,\((x + 40) \textdegree.\)Angels \(3x\textdegree \ and\ (x+40 \textdegree)\) are considered horizontal angles because of the description (opposite when two lines intersect). Vertical angles are equivalent, therefore
x=20
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coordinates of point wjere the graph of y=4-2x crosses line y=1
Answer:
To solve this problem, we need to set the equation of the line and the equation of the given curve equal to each other and then solve for x. Once we find the value of x, we can substitute it back into either equation to find the corresponding y-coordinate. Here are the steps:
1. Set the equations equal to each other:
4 - 2x = 1
2. Solve for x:
4 - 2x - 1 = 0
3 - 2x = 0
3 = 2x
x = 3/2
2. Substitute x back into either equation to find y:
y = 4 - 2(3/2)
y = 1
Therefore, the point where the graph of y=4-2x crosses the line y=1 is at (3/2, 1).
a croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccoli croissants. how many ways are there to choose 16 croissants?
There are approximately 63,063 ways to choose 16 croissants from the selection of 6 different types offered by the croissant shop.
To find the number of ways to choose 16 croissants from a selection of 6 different types, we can use the concept of combinations.
The formula for combinations is:
nCr = n! / (r! * (n-r)!)
where n is the total number of items to choose from, and r is the number of items to choose.
In this case, there are 6 different types of croissants, and we want to choose 16 of them. Therefore, we can calculate the number of ways to choose 16 croissants as follows:
6C16 = 6! / (16! * (6-16)!) = 6! / (16! * (-10)!) = 6! / (16! * 10!) ≈ 63,063
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Which expression does the graphic represent?
8 positive tiles. 1 tile is crossed out.
7 minus 1
7 minus (negative 1)
8 minus 1
8 minus (negative 1)
I'll give brainliest
Answer:
the answer is 8-1
Step-by-step
Sketch the region bounded by the curves, and visually estimate the location of the centroid.
y = 3/x, y = 0, x = 1, x = 5
Answer:
attached
Step-by-step explanation:
how to work out the area of a rhombus
Answer:
In rhombus, there are two diagonals.
Ar. of rhombus=\(\frac{1}{2}\) × diagonal 1× diagonal 2
U have to byheart this formula.
4. Jan bought donuts for $6.75. Each bagel cost
$0.75. How many bagels did she buy?
Answer:
9 bagels
Step-by-step explanation:
Divide the price ($6.75) by the price of one bagel ($0.75) to get the amount of bagels Jan bought. (9)
how do I Find the other endpoint when the midpoint is (-2,-4) and one endpoint is (0.4).
Given,
The midpoint is, ( -2, -4)
The one end point is, ( 0, 4)
The midpoint between tw
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of o°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below O°C (denoted by negative numbers) and some give readings above O C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the temperature reading that separates the bottom 4% from the others. Round to two decimal places. A. -1.48B.-1.89 C. -1.63 D. -1.75
Solution :
It is given that the Precision Scientific Instrument company Manufactures thermometers that provide readings at 0 degree Celsius for the freezing point of water.
A quality control analyst examines the thermometers which provide readings in the bottom of 4%.
Using the standard normal table, we get
P(z < z) = 4%
P(z < z) = 0.04
See the probability of 0.04 in the standard normal corresponding to the z-value is = -1.75
Therefore,
P(z < -1.75) = 0.04
z = -1.75
So the temperature reading that separates the bottom of 4% from the other thermometers is - 1.75°C
Therefore correct option is (D). -1.75
Which of the following can not be used to calculate 32% of 50
Answer:
the answer is 16
Step-by-step explanation:
You and your 3 friends went to Texas Steakhouse for dinner. The total
bill was $ 100, there was a 8% sales tax and you gave waiter an 18%
tip. How much did you pay?
Answer:
$126
Step-by-step explanation:
100 * 0.08 = 8
100 * 0.18 = 18
100 + 8 + 18 = 126
HELP this is important!
Answer:
1. 11,17,23,29
2.t=19
3. +6
4. 4
5.57
What is the length of a segment with endpoints at (-2, 5) and (4, 5)?
The length of the segment with endpoints at (-2, 5) and (4, 5) is 6 units.
We have,
The length of a segment with endpoints (a, b and (c, d) can be calculated using the distance formula:
Distance = √((c - a)² + (d - b)²)
In your case, the endpoints are (-2, 5) and (4, 5):
a = -2
c = 5
b = 4
d = 5
Plugging these values into the formula:
Distance = √((4 - (-2))² + (5 - 5)²)
Distance = √(6² + 0²)
Distance = √36
Distance = 6
Thus,
The length of the segment is 6 units.
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a jar contains 10 blue marbles, 5 red marbles, 4 green marbles, and 1 yellow marble. two marbles are chosen (without replacement). (a) what is the probability that one will be green and the other red?
The probability that one will be green and the other red is 2/19.
The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.
Probability = Expected/Total outcome
We use combination because a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.
The probability of selecting green = \(^{4} C_{1}\) = 4 ( as there are 4 green marble in the jar)
The probability of selecting red = \(^{5} C_{1}\) = 5 ( as there are 5 red marble in the jar)
Expected outcome = 4 * 5
= 20
Total marbles in the jar = 20 (10+5+4+1)
Total outcome = \(^{20} C_{2}\)
= \(\frac{20!}{(20-2)!.2!}\)
= \(\frac{20.19.18!}{18!.2!}\)
= \(\frac{20.19}{2}\)
= 190
The probability that one will be green and the other red will be -
= 20/190 or, 2/19
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30 POINTS!!!!!!!!
PLS HELP ASAP! AND ANSWER EACH ONE
1. a square bulletin board has an area of 100ft^2
what is the side length of the bulletin board? ______ ft
what is the perimeter of the bulletin board? _______ft
2.which is the correct classification of the vaule 2pi?
A. real,rational,integer
B. real,rational
C. irrational,integer
D. real,irrational
3. simplify each expression
-9x +12 - 10 + x
3/4x + 17 - 1/4x - 19
13 + 12x - 4x - 14
-3/2x - 68 + 2x + 8
brainlist will be added if explation if but down for each *not required tho*
Answer:
1. a square bulletin board has an area of 100ft^2 what is the side length of the bulletin board?
Answer: 10 ft
• Area = side × side
\(100 = {s}^{2} \\ s = \sqrt{100} \\ side = 10 \: ft\)
2.which is the correct classification of the vaule 2pi?
D. real,irrational
→ It is irrational because it has no denominator, it is real because it has no imaginary part, and it can be plotted on a number line.
3. simplify each expression
\( \hookrightarrow \: - 9x + 12 - 10 + x \\ = ( - 9x + x) + 12 - 10 \\ = { \boxed{ - 8x + 2}} \\ \\ \\ \hookrightarrow \: \frac{3}{4} x + 17 - \frac{1}{4} x - 19 \\ \\ = \frac{3}{4} x - \frac{1}{4} x + 17 - 19 \\ \\ { \boxed{ = \frac{1}{2} x - 2}} \\ \\ \\ \hookrightarrow \: 13 + 12x - 4x - 14 \\ = 13 + 8x - 14 \\ { \boxed{ = 8x - 1}} \\ \\ \\ \hookrightarrow \: - \frac{3}{2} x - 68 + 2x + 8 \\ \\ = - \frac{3}{2} x + 2x - 68 + 8 \\ \\ { \boxed{ = \frac{1}{2}x - 60 }}\)
Question 25 of 25
Over what interval is the function in this graph increasing?
AV
M
<-10
10
A. 6≤x≤ 10
B. -4≤x≤1
C. -10≤x≤-4
D. 1≤x≤6
NEED HELP ASAP
The correct option is option B : -4 ≤ x ≤ 1
What is Increasing and decreasing function?
Increasing and decreasing functions are functions whose graphs go upwards and downwards respectively as we move towards the right-hand side of the x-axis. Increasing and decreasing functions are also called non-decreasing and non-increasing functions.
Here, from graph
as we can observe from x = -4 graph starts increases upto x = 1 and after that graph becomes constant.
Thus, between x belongs -4 to 1 the graph is increasing.
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The scale of a map says that 6 cm represents 15 km,
What is the actual number of kilometers that is represented by 16 cm on the map
In a bag, Bag C, the ratio of red counters to yellow counters is 3 : 4.
If 3 of the red counters are removed from Bag C, the ratio of red counters
to yellow counters is 3 : 5.
How many yellow counters are in Bag C?
Answer:
20
Step-by-step explanation:
The ratio of red : yellow is 3 : 4 = 3x : 4x ( x is a multiplier )
If 3 red counters are removed then
red : yellow = 3x - 3 : 4x = 3 : 5
Expressing in fractional form
\(\frac{3x-3}{4x}\) = \(\frac{3}{5}\) ( cross- multiply )
5(3x - 3) = 12x
15x - 15 = 12x ( subtract 12x from both sides )
3x - 15 = 0 ( add 15 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Then
number of yellow counters = 4x = 4 × 5 = 20
suppose you decided to write down all whole numbers from 1 to 99,999. how many times would have have to write the number 1?
The digit "1" appears 99,920 times when writing down all whole numbers from 1 to 99,999. To determine this, we can consider each place value separately.
1. Units place (1-9): The digit "1" appears once in each number from 1 to 9.
2. Tens place (10-99): In this range, the digit "1" appears in all numbers from 10 to 19 (10 times) and in the tens place of numbers 21, 31, ..., 91 (9 times). So the digit "1" appears 10 + 9 = 19 times in the tens place.
3. Hundreds place (100-999): The digit "1" appears in all numbers from 100 to 199 (100 times) in the hundreds place. Similarly, it appears in the hundreds place of numbers 201, 202, ..., 299 (100 times), and so on up to 901, 902, ..., 999 (100 times). So in the hundreds place, the digit "1" appears 100 * 9 = 900 times.
4. Thousands place (1000-9999): Similar to the previous cases, the digit "1" appears in the thousands place 1000 times in the range from 1000 to 1999. Also, it appears 1000 times in the thousands place of numbers 2000 to 2999, and so on up to 9000 to 9999. So in the thousands place, the digit "1" appears 1000 * 9 = 9000 times.
5. Ten thousands place (10,000-99,999): The digit "1" appears in the ten thousands place 90000 times since it occurs in all numbers from 10000 to 99999.
Adding up the counts from each place value:
1 + 19 + 900 + 9000 + 90000 = 99920
Therefore, the digit "1" appears 99,920 times when writing down all whole numbers from 1 to 99,999.
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Company b manufactures speakers used in cell phones. the critical component is imported from china. if they are
unable to sell their speakers in china, how will this affect the economy?
exports will outpace imports.
imports will outpace exports
domestically sold goods will cost less.
there will be no effect
If Company B is unable to sell their speakers in China, it will have a significant impact on the economy: Decreased exports, Imbalanced trade, Economic implications, Reduced revenue. Second option is correct.
1. Decreased exports:
Since the critical component for the speakers is imported from China, Company B's inability to sell in China means they won't be exporting their finished speakers to the Chinese market. This will result in a decrease in exports, as the speakers won't be reaching Chinese consumers.2. Imbalanced trade:
When exports are lower than imports, it creates an imbalance in trade. In this case, if Company B can't sell speakers in China, their imports from China will continue while their exports to China decrease. This can lead to an imbalance in trade, with imports outpacing exports.3. Economic implications:
Imbalanced trade can have various economic implications. For example, if imports outpace exports, it can lead to a trade deficit, which means the country is spending more on imports than it is earning from exports. This can affect the overall economic health of the country and potentially impact factors like employment and GDP.4. Reduced revenue:
If Company B is unable to sell their speakers in China, it will result in a decrease in revenue for the company. This can have a cascading effect on their operations, including potential job losses and reduced investment in research and development or expansion.In summary, if Company B cannot sell their speakers in China, it will lead to a decrease in exports, an imbalance in trade, potential economic implications, and reduced revenue for the company. These effects can have broader consequences on the economy as a whole. Therefore, the second option is correct answer.
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