Answer:
Rolling a 6 would be 1 in 6
And rolling a four or less would be 4 in 6
Step-by-step explanation:
S= {1,2,3,4,5,6}
|S|=6
E=rolling a 6 orless than 4
➜{1,2,3,6}
|E|=4
P(E)=|E| /|S|
➜4/6
➜2/3
show your work please . NO LINKS.
9514 1404 393
Answer:
i. 0
ii. 5, 9
iii. 12
iv. 0
Step-by-step explanation:
i. Roots are found where the numerator is zero, at x=0.
__
ii. Vertical asymptotes are found where the denominator is zero, at x=5 and x=9.
__
iii. The horizontal asymptote is the value of g(x) when x approaches infinity. It is the quotient of the leading terms of the numerator and denominator:
y = (12x²)/(x²) = 12
__
iv. The y-intercept is the function value when x=0.
g(0) = 12·0/45 = 0
Answer before 11:59 plzzz
The question is in the screenshot. PLEASE I NEED QUICK
56
its mutiplying by 4
Comparing observations from different populations: The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches.
Required:
a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
b. What percentage of men are SHORTER than 6 feet 3 inches?
c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
d. What percentage of women are TALLER than 5 feet 11 inches?
Answer:
a. Z = 1.99
b. 97.67%
c. Z = 2.56
d. 0.52%
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches, and thus, we have [tex]\mu = 69.7, \sigma = 2.66[/tex]
6 feet 3 inches = 6*12 + 3 = 75 inches, which means that we have to find z when X = 75. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 69.7}{2.66}[/tex]
[tex]Z = 1.99[/tex]
b. What percentage of men are SHORTER than 6 feet 3 inches?
The proportion is the p-value of Z = 1.99.
Looking at the z-table, Z = 1.99 has a p-value of 0.9767.
0.9767*100% = 97.67%, which is the answer.
c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches, and thus, we have [tex]\mu = 64.5, \sigma = 2.54[/tex]. We have to find Z when X = 5*12 + 11 = 71. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{71 - 64.5}{2.54}[/tex]
[tex]Z = 2.56[/tex]
d. What percentage of women are TALLER than 5 feet 11 inches?
The proportion is 1 subtracted by the p-value of Z = 2.56.
Looking at the z-table, Z = 2.56 has a p-value of 0.9948.
1 - 0.9948 = 0.0052
0.0052*100% = 0.52%, which is the answer.
A spinner had four lettered sections. The table shows the results of an experiment spinning the pointer.
Letter Frequency
Q 15
R 8
S 3
T 24
Fine the probability of each letter in the simplest form.
PLEASE ANSWER FAST.!!!!
Answer:
Q 3/10 R 4/25 S 3/50 T 12/25
Step-by-step explanation:
Q 15/50 3/10
R 8/50 4/25
S 3/50 3/50
T 24/ 50 12/25
Answer:
Q = 30%
R = 16%
S = 6%
T = 48%
Step-by-step explanation:
please mark this answer as brainliest
(c) Ben changes £800 to Euros before he goes on holiday.
£1 = 1.25 Euro
He spends 895 Euros.
He changes the Euros that he has left to Pounds (£).
The exchange rate is now £1 = 1.40 Euro
How many Pounds does he get back?
Amount of pounds that Ben get back is £75.
What is Exchange Rate?Exchange rate is defined as the value of a currency with respect to another currency in order to convert the currency.
Ben changes £800 to Euros before he goes on holiday.
Before holiday, exchange rate is, £1 = 1.25 Euro
£800 = 800 × 1.25 Euros = 1000 Euros
He spends 895 Euros.
Euros left = 1000 - 895 = 105 Euros
Now, the exchange rate is £1 = 1.40 Euro.
or 1.40 Euro = £1
⇒ 1 Euro = £ 1/1.40
⇒ 105 Euros = £ (1/1.40) × 105 = £75
Hence Ben got £75 of pounds back.
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Two distinct intersecting lines intersect at a single point. Is it true or false
Plz help me well mark brainliest if correct!!
Answer:
A) 32 cm
Step-by-step explanation:
the rectangle could be 12cm x 4cm, giving an area of 48 sq cm
and a perimeter of 24+8 or 32 cm
ASAP Find the domain f(x)= 1/x
If x = 5, then which inequality is true?
F -2x ≥ 12
G. x – 2 < 7
H. 2x > 12
J. x – 7 > 2
The diameter of cork of a Champagne bottle is supposed to be 1.5 cm. If the cork is either too large or too small, it will not fit in the bottle. The manufacturer measures the diameter in a random sample of 36 bottles and finds their mean diameter to be 1.4 cm with standard deviation of 0.5 cm. Is there evidence at 1% level that the true mean diameter has moved away from the target?
Answer:
[tex]t_{n-1,\alpha/2}=3.59114678[/tex]
Therefore we do not have sufficient evidence at [tex]1\%[/tex] level that the true mean diameter has moved away from the target
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=36[/tex]
Mean diameter [tex]\=x=1.4[/tex]
Standard deviation [tex]\sigma=0.5cm[/tex]
Null hypothesis [tex]H_0 \mu=1.5[/tex]
Alternative hypothesis [tex]\mu \neq 1.5[/tex]
Significance level [tex]1\%=0.001[/tex]
Generally the equation for test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]
[tex]t=\frac{1.4-1.5}{\frac{0.5}{\sqrt{36} } }[/tex]
[tex]t=-1.2[/tex]
Therefore since this is a two tailed test
[tex]t_{n-1,\alpha/2}[/tex]
Where
[tex]n-1=36-1=>35[/tex]
[tex]\alpha=/2=0.001/2=>0.0005[/tex]
From table
[tex]t_{n-1,\alpha/2}=3.59114678[/tex]
Therefore we do not have sufficient evidence at [tex]1\%[/tex] level that the true mean diameter has moved away from the target
HELPPP THIS IS MY LAST DAY I SERIOUSLY NEED HELP
Answer:
see below
Step-by-step explanation:
number 1 goes to 769.5=B(9.5) then to 81
number 2 goes to v=90.25(9.5) then to 857.375
number 3 goes to 95=19(h) then to 5
Help please thank you
Answer:
no
yes
yes
0.92 cents
4.72
9.26
Step-by-step explanation:
Does anyone know? 6th grade work I need help please :( no link answer please
Answer:
Step-by-step explanation:
you add all them up
Answer:
C.
Step-by-step explanation:
there is a measuement of 12 cm missing.
Just multiply all the sides!
(1,0) m=-5
Formula
Y-Y1 = m(x-x1)
Slope form
Slope form -
y - y1 = m(x - x1)
y - 0 = -5(x - 1)
y = -5x + 5
Equations of Exponential Functions
A 30-gram sample of bacteria has some unknown disease that is killing the bacteria. The amount of bacteria is measured each day and the results are shown in the table.
What is the amount of bacteria on the 8th day?
a. On the eighth day, the bacteria is 1.72 grams
b. On the eighth day, the bacteria is 19.90 grams
c. On the eighth day, the bacteria is 6.23 grams
d. On the eighth day, the bacteria is 6271.89 grams
Please select the best answer from the choices provided
Answer:
B. On the eighth day, the bacteria is 19.90 grams
Step-by-step explanation:
I calculated it logically
Please help me with these questions if can explain i am a bit confused at it
On solving the provided question, we can say that - he re the slope value is using the formula y/x = k => [tex]k = 2/3[/tex]
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
Use the point (3, 2) and divide y by x using the formula y/x = k.
[tex]k = 2/3[/tex]
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A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 6 had
a mispriced item. If 900 people go to this store each day, how many people would you expect to have a
mispriced item?
Answer:
48
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
3 is divided by the difference of 4 and a number.
Answer:
Submit Answer
Il
DELL
******
attempt 1 out of 2
The given statement can be written as expression given by -
y = 3 ÷ (4 - x)
What are equations?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".
Given is the statement as -
"3 is divided by the difference of 4 and a number"
Assume the number to be {x}. Then, we can write the expression as -
3 ÷ (4 - x)
Let this expression is equivalent to {y}. We can write -
y = 3 ÷ (4 - x)
Therefore, the given statement can be written as expression given by -
y = 3 ÷ (4 - x)
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Refer to the second stanza of the poem, at the
top of page 2. What can be inferred about the
setting based on the evidence in this stanza?
5
Answer:
A: the forest is at this moment being threatened by severe weather
Step-by-step explanation:
Directions: Solve these equations by using addition. You will need to use your fraction and decimal skills to solve these equations.
A number increased by 1 2/3 is equal to 8
Answer:
6 and 1/3
Step-by-step explanation:
8 minus 1 is 7 and 7 minus 2/3 is 6 1/3. Therefore the number you started with is 6 and 1/3. Hope this helps :)
4. What is the area of the shaded region in the figure below?
67
A
IT or 20.30 e
8
67
B
3 feet
IT or 17.50
12
10
O or 3.49
0
D
5
IT or 1.90 Ft
8
Which statement best applies to the function y = x squared?
a.
The domain only includes numbers greater than or equal to 0.
c.
Both the domain and range only include numbers greater than or equal to 0.
b.
The range only includes numbers greater than or equal to 0.
d.
The domain and range include all real numbers.
Answer:
b. The range only includes numbers greater than or equal to 0.
Step-by-step explanation:
Any square of a number will never lead to a negative number
The range of an equation is it's numerical possibilities for y
Since a square of a negative number never leads to a negative y
The answer is therefore, the range can only be zero and above
(otherwise the roots would be imaginary)
Can you please help me
9514 1404 393
Answer:
x = 90°
y = 30°
Step-by-step explanation:
The relevant relations are ...
an inscribed angle is half the measure of the arc it interceptsthe sum of angles in a triangle is 180°the sum of arcs of a circle is 360°Arc AB is half a circle, so is 180°. Inscribed angle C intercepts that arc, so is half its measure: x = 90°.
The angles of a triangle total 180°, so y has the value that makes the sum of angles be 180°.
y = 180° -90° -60°
y = 30°
_____
Additional comment
It is worth remembering that a triangle inscribed in a semicircle is a right triangle. This tells you right away that x=90°.
Cylinder A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490TT. What is the percentage change in volume from cylinder A to cylinder B?
50% decrease
0.75% increase
150% decrease
O 100% increase
Plz help me well mark brainliest if correct!!.....
Answer:
A
Step-by-step explanation:
The oil painting classes lastes two hours on Saturday
find the length of the third side. if necessary, write in simplest radical form.
Answer:
6
Step-by-step explanation:
its a right angle so to find a side use a Pythagorean theorem
Pythagorean theorem =
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+b^2[/tex] are the sides
[tex]c^2[/tex] is the hypotenuse
In this case we need the hypotenuse
[tex]3\sqrt{3} ^2 + 3^2 = c^2[/tex]
[tex]27 + 9=c^2[/tex]
[tex]36=c^2[/tex]
the opposite of squaring is square rooting so:
[tex]\sqrt{36} =6[/tex]
therefore the answer is 6 ^-^
Without graphing, find the slope of the line that goes through (-3,-2) and (-1,-5)
the mean of 100 nummerical observations is 51.82
If the mean of 100 nummerical observations is 51.82 then the value of all 100 numbers is 5182.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that mean of 100 nummerical observations is 51.82
We need to find the sum of all the observations
The formula to find mean is mean=Sum of observations/ Number of observation
From given mean=51.82
Number of observations =100
Let us take x as sum of all 100 numbers
So 51.82=x/100
Now apply cross multiplication
x=51.82×100
x=5182
Hence, if the mean of 100 nummerical observations is 51.82 then the value of all 100 numbers is 5182.
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A tissue box in the shape of a rectangular prism has a surface area of 158 square inches . The width is 5 inches and the height is 3 inches . What is the length of the tissue box ?
Answer Choices - A. 8.0
B. 8.5
C. 9.0
D . 10.5
Answer:
A. 8.0 inches
you will have to use the formula A= 2(LW + LH + WL)