Answer:
0.2
Step-by-step explanation:
1/10 = 0.1
10/100 = 0.1
0.1+0.1 = 0.2
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)
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 ^-^
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
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.
(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
The question is in the screenshot. PLEASE I NEED QUICK
56
its mutiplying by 4
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)
(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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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:
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:
the ages of student volunteers at an event are 13, 11, 12, 15, 16, 11, 12, 14, , and 11. find the range age of students
Answer:
11-16 is the range
Step-by-step explanation:
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
I need help with this!
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!
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°.
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
PLEASE HELP RIGHT NOW!!! NO LINKS OR ANYTHING, PLEASE JUST ANSWER IT AND TELL ME!!! THANKS!!! ((It has to be an answer. Cant right anything like “isjwiwjwk”. You have to answer))
Answer:
the answers would be A, D, E
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 :)
Answer before 11:59 plzzz
Plz help me well mark brainliest if correct!!.....
Answer:
A
Step-by-step explanation:
The oil painting classes lastes two hours on Saturday
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
For the equation f(x)=1.9(0.41)*, state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
C=(Type an integer or a decimal.)
Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
Given that,
The equation f(x)=1.9(0.41)ˣ.
We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
We know that,
What is growth and decay?In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.
In the case of growth, f(x) = a(1+r[tex])^{x-h}[/tex]+k, where b = 1+r
Decay is defined as f(x)=a(1-r)(x-h[tex])^{x-h}[/tex]+k, where b=1-r.
Consider the function f(x)=1.9(0.41)ˣ.
We write as
f(x)=1.9(1-0.59)ˣ
So, initial value C is 1.9
Decay factor =0.41
Growth factor = 0.59
Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
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Without graphing, find the slope of the line that goes through (-3,-2) and (-1,-5)
One circle has a circumference half as large as that of a
second circle. Which ratio compares the diameter of the
first circle to the diameter of the second circle?
Answer:
The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Circumference of a circle:
The circumference of a circle of diameter d is given by:
[tex]C = \pi d[/tex]
In which d is the diameter.
One circle has a circumference half as large as that of a second circle.
We have that:
[tex]C_1 = \frac{C_2}{2}[/tex]
So
[tex]\pi d_1 = \frac{\pi d_2}{2}[/tex]
Simplifying by [tex]\pi[/tex]
[tex]d_1 = \frac{d_2}{2}[/tex]
[tex]\frac{d_1}{d_2} = \frac{1}{2}[/tex]
The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]
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
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
Two distinct intersecting lines intersect at a single point. Is it true or false
ASAP Find the domain f(x)= 1/x
Help please thank you
Answer:
no
yes
yes
0.92 cents
4.72
9.26
Step-by-step explanation: