Answer:
[tex]a. \ P(X=5)=0.2417\\\\b. \ P(X\geq 6)=0.3056\\\\c. \ P(X<3)=0.2255[/tex]
Step-by-step explanation:
a. This is a binomial probability distribution problem expressed as:
[tex]P(X=x)={n\choose x}p^x(1-p)^{n-x}[/tex]
Where:
[tex]p[/tex] is the probability a successful event.[tex]x[/tex] the number of successful events.[tex]n[/tex] is the total number of events.Given n=10, p=0.47 the probability of exactly 5 is calculated as:
[tex]P(X=5)={n\choose x}p^x(1-p)^{n-x}\\\\={10\choose 5}0.47^5(1-0.47)^5\\\\=0.2417[/tex]
Hence, the probability that exactly 5 adults have very little confidence is 0.2417
b. Given n=10, p=0.47,
-We substitute our values in formula and the probability of at least 6 is calculated as:
[tex]P(X\geq 6)={n\choose x}p^x(1-p)^{n-x}\\\\\\\ \ \ \ \ \ ={10\choose 6}0.47^6(0.53)^4+{10\choose 7}0.47^7(0.53)^3+{10\choose 8}0.47^8(0.53)^2+{10\choose 9}0.47^9(0.53)^1+{10\choose 10}0.47^{10}(0.53)^0\\\\\\=0.1786+0.0905+0.0301+0.0059+0.0005\\\\\\=0.3056[/tex]
Hence, the probability of at least 6 adults is 0.3056
c. The probability of of less that four adults is calculated as:
[tex]P(X<4)={n\choose x}p^x(1-p)^{n-x}\\\\\\\ \ \ \ \ \ ={10\choose 0}0.47^0(0.53)^{10}+{10\choose 1}0.47^1(0.53)^9+{10\choose 2}0.47^2(0.53)^8+{10\choose 3}0.47^3(0.53)^7\\\\\\=0.0017+0.0155+0.0619+0.1464\\\\\\=0.2255[/tex]
Hence, the probability that less that 4 adults have confidence in the newspapers is 0.2255
The correct probabilities for the given scenarios are:
(a) The probability that exactly five U.S. adults have very little confidence in newspapers is approximately 0.205 or 20.5%. (b) The probability that at least six U.S. adults have very little confidence in newspapers is approximately 0.254 or 25.4%. (c) The probability that less than four U.S. adults have very little confidence in newspapers is approximately 0.347 or 34.7%.
To solve this problem, we can use the binomial probability formula:
[tex]\[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \][/tex]
(a) For exactly five adults:
[tex]\[ P(X = 5) = \binom{10}{5} (0.47)^5 (0.53)^5 \][/tex]
[tex]\[ P(X = 5) \approx 0.205 \][/tex]
(b) For at least six adults, we sum the probabilities of having six, seven, eight, nine, and ten adults with very little confidence:
[tex]\[ P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) \][/tex]
[tex]\[ P(X \geq 6) \approx 0.254 \][/tex]
(c) For less than four adults, we sum the probabilities of having zero, one, two, and three adults with very little confidence:
[tex]\[ P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) \][/tex]
[tex]\[ P(X < 4) \approx 0.347 \][/tex]
If j = 2 cm and k= 2.5 cm, what is the length of /?
A 1.5 cm
B. 2 cm
C. 1 cm
D. 3.5 cm
Answer:
d
Step-by-step explanation:
if yourw talking about diagonals its d
Hey! The faster this is done, the faster I love you. (No homo if you're a girl) BUT ANYWAY can anyone do this for me?
0.75 Sq. Ft2
Area of a Square= Side length x Side length
Answer = (Side length x Side length) square area
factor completely: 21a+27
Answer:
3(7a + 9)
Step-by-step explanation:
21a + 27
3(7a + 9)
When you expand
3 x 7a + 3 x 9
21a + 27
Sasha bowled 4 games. Her scores were 102, 112, 96, and 98. What is the mean of Sasha's scores?
Answer:
102
Step-by-step explanation:
add all of the numbers together
102+112+96+98=408
divide it by 4 (because there are 4 scores)
408/2=102
Answer:
102
Step-by-step explanation:
You add all the numbers up and divide them by 4. This will depend on how many numbers you are adding together.
Write an equation and solve each problem.
Find three consecutive integers with a sum of -36.
Answer:
-13,-12,-11
Step-by-step explanation:
x --- first integer
x+1 --- second integer
x+2 --- third integer
x+(x+1)+(x+2)=-36
3x+3=-36
3x=-39
x=-13
Answer:
13 12 11 negative
Step-by-step explanation:
volume and area question!-please help me answer it
This cuboid is made from centimetres cubes
write down the volume of the cuboid
using the image below
the cuboid is then split in half
Answer:
72 for q1 and q2 is 18
Step-by-step explanation:
Final answer:
To find the volume of a cuboid, multiply its length, width, and height. If made of 1 cm cubes, the volume is the number of these cubes. Halving the cuboid evenly would halve its volume.
Explanation:
To calculate the volume of a cuboid, you multiply the length, width, and height of the cuboid. The question doesn't provide specific dimensions, but assuming that you have them, the formula you would use is Volume (V) = length × width × height. If the cuboid consists of centimeter cubes, each with a side length of 1 cm, the volume in cubic centimeters will be equal to the number of these small cubes.
For example, let's say the dimensions of the cuboid are 5 cm × 3 cm × 4 cm. The volume would then be calculated as V = 5 cm × 3 cm × 4 cm = 60 cm³.
If the cuboid is split in half, the resulting two pieces would each have a volume that is half of the original total volume, assuming the split is made evenly.
Which pair of triangles can be proven congruent by SAS? 2 identical triangles are shown. The triangle is reflected across a line to form the second triangle. 2 identical triangles are shown. The triangle is rotated 90 degrees to form the second triangle. 2 identical triangles are shown. The triangle is reflected across a line and then rotated to form the second triangle. 2 identical triangles are shown. The triangle is rotated up and to the left 90 degrees to form the second triangle.
Answer:
its the third option
Step-by-step explanation:
the one with 2 rings on the second longest angle 2 lines on longest side one side and 1 line on the shortest side
All the described pairs of triangles that are reflected, rotated, or both, can be proven congruent by the SAS postulate because such rigid transformations preserve the congruency of sides and angles.
Explanation:To determine which pair of triangles can be proven congruent by the SAS (Side-Angle-Side) postulate, we look for two sides of a triangle and the included angle that are congruent to two sides and the included angle of another triangle. When a triangle is reflected across a line, rotated 90 degrees, or both reflected and rotated, it maintains its size and shape, thus the corresponding sides and angles remain congruent.
A reflection or rotation (including a combination of both) is a type of rigid transformation which preserves the size and shape of figures. Hence, all the given pairs of triangles can be proven congruent to the original triangle through the SAS postulate, as rigid transformations do not alter the congruity of sides and included angles.
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Round 293.974373347 to 1 decimal place.
Answer:
bruh. 294.0
Step-by-step explanation:
Answer: 294.0
Step-by-step explanation: 974373347 rounds up to 0 and the 3 in 293 round up to 294
HELP ME PLEASE WITH THIS
The temperature rises 22 degrees from 5 am to noon. The temperature drops 18 degrees from noon to 7 pm. The temperature drops another 6 degrees between 7 pm and 5 am . If the temperature at 5 am on the next morning is 63° F, what was the temperature at 5 am on the first morning?
Answer:
65˚
Step-by-step explanation:
You do everything opposite:
63˚+6˚=69˚
69˚+18˚=87˚
87˚-22˚=65˚
Please tell me if i'm wrong.
What is the volume of the figure below if a = 4 units, b = 5.9 units, and c = 2 units?
Answer:
111.2 units³
Step-by-step explanation:
Base area = 2(a² + ½ab)
2(4)² + (4)(5.9)
= 55.6 units²
Volume = Base area × c
55.6 × 2
= 111.2 units³
123,000,000 as a multiple of a power of 10
123,000,000 as a multiple of a power of 10 is 1.23 x 10⁸.
What is power of 10?The large values when shortened, they are written in the form of power of 10 by shifting decimals.
123,000,000 has eight zeroes to reduce and taken to the power of 10. Put decimal after counting eight digits from the right.
123,000,000 can be written as 1.23 x 10⁸.
Thus, 123,000,000 as a multiple of a power of 10 is 1.23 x 10⁸.
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To express 123,000,000 as a multiple of a power of 10, we identify it as 1.23 x 10^7.
The question asks to express 123,000,000 as a multiple of a power of 10. To do this, we need to understand how exponents of 10 work. The exponent tells us how many zeros are added to the right of 1 to create the number. For instance, 10^2 equals 100 because there are two zeros.
In the case of 123,000,000, we count the zeros following the initial digit(s). There are 7 zeros. Therefore, we can express 123,000,000 as 1.23 x 10^7. Here, 1.23 is the coefficient (a value greater than or equal to 1 but less than 10), and 10^7 indicates that the decimal point in 1.23 is moved 7 places to the right to get the original number, 123,000,000.
This method of notation is commonly used in scientific notation, which simplifies large numbers by expressing them as a multiple of a power of 10. It's a useful way to work with very large or very small numbers efficiently.
y = x - v/b ; solve for x
Answer:
x = y + v/b
Step-by-step explanation:
You can solve for x by adding v/b to both sides since that is what will isolate x the quickest and that is what you want to do when you need to solve for something.
By adding v/b to both sides, you will end up with x=y+v/b and that’s your answer!
Hope this helps!
(Credit to math-way)
If PQR ~ SQT, find the value of x
The value of x is 15.
The calculation is as follows;Here first we add P and Q together that equals x+13
After this, it divide x+13 and 8 and make it equal to [tex]21\div x-9[/tex]
Now x should then equal 15
[tex]x+13\div 9 = 21\div x-9\\x^2+4x−117=168\\\\x^2 + 4x-285=0[/tex]
(x−15)(x+19)=0
x = 15
Therefore we can conclude that The value of x is 15.
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To find the value of x in a similar triangle question, you need to identify the corresponding sides and use their ratio to solve for x. In this case, PQR is similar to SQT, and the corresponding sides are PQ and SQ, PR and ST, and QR and QT. The ratio of the side lengths can be used to find the value of x.
Explanation:If two triangles are similar, it means that their corresponding angles are equal, and the ratio of their corresponding side lengths is constant. In the given question, PQR is similar to SQT. To find the value of x, we need to identify the corresponding sides and find the ratio between them. Let's assume that the corresponding sides are PQ and SQ, PR and ST, and QR and QT. The ratio of the side lengths can be written as:
x / (p + q) = PQ / SQ. Using this ratio, we can solve for x by multiplying both sides of the equation by (p + q):
x = (PQ / SQ) * (p + q)
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ANSWER FAST| Point E Is drawn on the graph so that line EF is parallel to line CD
____________________
If the coordinates of point E are (-4, y), what is the value of y ?
• -8
• -4
• 0
• 8
Giving 30 points and the brainliest
The required y coordinate of E is -8. Option A is correct.
The graph is shown, point E Is drawn on the graph so that line EF is parallel to line CD. Point E is (-4, y), and the value of y is to be determined.
What is a line?The line is a curve showing the shortest distance between 2 objects in space.
Here, the Slope of line CD = 2/5 = slope of line EF (cause both lines are parallel)
The Coordinate of point f is (6,-4)
Line EF y+4 =2/5(x-6)
The coordinate of E is (-4, y)
for x = -4
y+4=2/5(-4-6)
y+4 = 2/5(-10)
y = -2*2-4
y = -8
than coordinates of E is (-4,-8)
Thus, the required y coordinate of E is -8
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need an explanation and answer for -25/28 ÷ (5/4)
Answer:
-5/7
Step-by-step explanation:
When you divide fractions, you flip the second fraction, then multiply.
So it becomes -25/28 x 4/5.
This equals -100/140 which reduces to -5/7.
Solve each equation a. 25-3x=40
b. 1/3(x-10)= -4
What does x equal to for each equation?
Answer:
a. x = -5
b. x = -2
Step-by-step explanation:
a.
40=25-3x
40=25-(-15)
x should be -5 for a
b.
-4=1/3(x-10)
-4=1/3(-2-10)
-4=1/3(-12)
x should be -2 for b
Mr Gordon bought 2 1/2 pounds of apples 1.25 pounds of pears and 3 3/4 pounds of oranges to his sister on the way home . How many pounds of fruit did me Gordon take to his home
Answer:
7.5 or 7 1/2 pounds of fruit.
Step-by-step explanation:
2.5 (2 1/2) + 1.25 (1 1/4) = 3 3/4 (3.75). 3 3/4 + 3 3/4 = 7 1/2 (7.5) pounds of fruit in total.
In the figure below, C is the intersection of AD and
BE. If it can be determined, what is the measure of
ZBAC?
45°
B35
A. 80°
B. 100°
C. 110°
D. 1150
E. Cannot be determined from the given information
Answer:
E. Cannot be determined from the given information
Pls help, I have been on this question for legit 2 h
(4/5) 60 = 48 potatoes only, filled in correctly in the box
(1/5) 60 = 12 beets only; put that in the rightmost box
That leaves 40 for the middle, both potatoes and beets.
Answer: fill in the boxes 48 40 12
The Sum of The Angles in a Triangle please dont answer yet have to add attachemnt
Answer:
the answer is 120 degrees
Step-by-step explanation:
all the angles are 60 on the inside
Answer:
the answer is 120°
Step-by-step explanation:
this is because all the sides measure equally, which makes this an equilateral triangle
this means that each of the interior angels is 60°
so the two interior angles are equal to their country exterior angle
What is a decimal that is equivalent to the fractior
32/100 enter the answer in the box.
Answer:0.32
Explanation:
The reason why this is the answer is because if you look at a place value chart, you could see that hundreds is the second place after the decimal point so you would put the numerator right after the decimal point.
A decimal that is equivalent to the fraction 32/100 is 0.32.
How can we convert a fraction to a decimal?We can convert a fraction to a decimal by dividing the numerator by the denominator. For example, to convert 32/100 to a decimal, we divide 32 by 100, which gives us 0.32.
To convert a fraction to a decimal, we divide the numerator (top number) by the denominator (bottom number).
In this case, we want to convert 32/100 to a decimal. Dividing 32 by 100 gives us 0.32 as the decimal equivalent of the fraction.
A fundamental mathematical concept is the ability to transform a fraction to a decimal. In a fraction, the denominator denotes the total number of parts in the whole, whereas the numerator denotes the number of pieces. Divide the numerator by the denominator to convert a fraction to a decimal. To obtain the decimal equivalent of 32 in this situation, we divide 32 by 100. By multiplying this decimal by 100, we can also convert it to a percentage, which gives us 32%.
Therefore, the decimal equivalent of 32/100 is 0.32.
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Consider triangle DEF. The legs have a length of 36 units each. What is the length of the hypotenuse of the triangle
Answer: d. 36√2
Step-by-step explanation:
This means;
36²+36²=c² ---------where c is the hypotenuse
1296+1296=c²
2592=c²
√2592=c
√32 × √81 =c
√2 × √16 × 9 =c
√2 × 4×9 =c
36√2 = c
Answer:
D
Step-by-step explanation:
In the diagram GHJ is approximately congruent to STU what are the missing measures
Answer:
67
67
46
5
3.7
Step-by-step explanation:
im pretty sure im correct because the "|" (vertical lines) mean absolute value right?
You are absolutely correct! Great job
Over which interval(s) is the function decreasing? Please help me I will thank you and give you five stars ⭐️
What is the length of AB—?
Enter the correct value
Answer:
Step-by-step explanation:
Since it is a parallelogram so opposite sides are equal and parallel
4y = y + 18
4y - y = 18
3y = 18
y = 18 / 3
y = 6
Now
Length of AB = 4 * 6 = 24
hOPE IT HELPED :)
Answer:
y=6
AB= 24 units
Step-by-step explanation:
In a parallelogram the opposite or facing sides are equal therefore AB=CD
A coffeepot contains 1 1⁄2 quarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1⁄2 cups of coffee remain in the pot. How much coffee did Tonya pour into each cup?
Answer:
1.25cups(8oz/1cup)=10 ounces
Step-by-step explanation:
we convert 1 1/2 quarts to cups. There are 4 cups in a quart:
1 1/2 quarts= 3/2 quarts (4 cups/ 1 quart)= 6 cups
Amount poured out:
6 cups- 3.5 cups= 2.5 cups
Amount poured in each cup:
2.5/2=1.25 cups
Solve for x
: 6x+ 8 = 9
Answer:
1/6
Step-by-step explanation:
6x+8= 9
Subtract 8 from both sides:
6x+8-8= 9-8
6x= 1
Divide by 6 on both sides
6/6x= 1/6
x= 1/6
Answer: x=1/6
Step-by-step explanation:
subtract the 8 from the left side to the right side to get 9-8= 1. then you will have 6x=1. divide six on both sides to get x=1/6
1) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. List the sample space for the experiment.
2) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. Calculate the probability (in simplest form) of b. P(B)
3) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. Calculate the probability (in simplest form) of g. P(G)
Answer:
2
Step-by-step explanation:
Simple
how many times larger is 2000 than 2
Answer:
1000 times
Step-by-step explanation:
You can figure this out by counting the place values that separate them. :D