Answer:
The null hypothesis is [tex]H_0: p = 0.22[/tex]
Step-by-step explanation:
According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22
This means that at the null hypothesis, it is tested if the proportion is in fact 0.22, that is:
[tex]H_0: p = 0.22[/tex]
A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.
At the alternative hypothesis, it is tested if the proportion is lower than 0.22, that is:
[tex]H_1: p < 0.22[/tex]
Write the set of non-negative integers in the inequality 2x < 4.
Answer:
The set [tex]S[/tex] of non-negative integers in the inequality [tex]2x < 4[/tex] is
[tex]S = \{0, 1\}[/tex]
Step-by-step explanation:
The non-negative integers are given as [tex]\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}[/tex]
For the inequality [tex]2x < 4[/tex], we have
[tex]2x < 4 \implies x < \dfrac{4}{2} \implies x < 2[/tex]
Therefore,
[tex]x\in \mathbb{R}:x\in(\infty, 2)[/tex]
Note: 2 is not included
The integers are
[tex]\ldots -2, -1, 0, 1[/tex]
And the non-negative integers are
[tex]0, 1[/tex]
I need help asap I’m overtime
Answer:
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What is the value of x in the figure below? In this diagram, ABD ~ CAD. Could somebody help me please? I don't entirely grasp the concept of this.
Answer:
E. [tex]\sqrt{39}[/tex]
Step-by-step explanation:
To find the value of x we can use Euclidian theorem
x^2 = 13x3
x^2 = 39 find the root of both sides
x = [tex]\sqrt{39}[/tex]
Find the mean of first 5 prime numbers.
Answer:
5.6
Step-by-step explanation:
First five prime numbers:
[tex]2,3,5,7,11[/tex]
Add them up:
[tex]2+3+5+7+11=28[/tex]
Calculate the mean:
[tex]\frac{28}{5} =5.6[/tex]
Answer:
8.5
Step-by-step explanation:
We need to find the mean of first five prime numbers . We know that the first five prime numbers are ,
[tex]\sf\longrightarrow First \ 5 \ Prime\ numbers \ = 2, 3, 5 ,7,11 [/tex]
We know that mean is ,
[tex]\sf\longrightarrow Mean =\dfrac{Sum \ of \ observations}{Number\ of\ observations } [/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow Mean =\dfrac{ 2+3+5+7}{2}[/tex]
Add the numbers in numerator ,
[tex]\sf\longrightarrow Mean =\dfrac{ 17}{2} [/tex]
Divide ,
[tex]\sf\longrightarrow\boxed{\blue{\sf Mean = 8.5 }} [/tex]
Hence the mean is 8.5
Instructions: Find the missing side. Round your answer to the nearest
tenth.
58°
х
22
X=
Answer:
35.2
Step-by-step explanation:
tan(58) = x/22
or, x = 22×tan(58)
or, x = 35.2 (rounded to the nearest tenth)
Answered by GAUTHMATH
Grade improvement and study motivation
Step-by-step explanation:
fng-mrxb-dop p.l.e.a.s.e join
5x
If f(x) = 5x and g(x)= 5x/3, find f(x) divided by g(x).
A. 1/3
B. 3
C. 3/25x^2
D. 25x^2/3
i think its b Step-by-step explanation:
[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]
Given the function f(x)= (x+3)^2 determine the value of f^-1 (49) include a complete solution
Answer:
Step-by-step explanation:
taking the inverse is essentially saying
x = (f(x) + 3)^2
root(x) - 3 = f(x) and -root(x) -3 = f(x)
(you have to take both the positive and negative roots)
plug in 49 for x and get 4 and -10.
The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4
What does the inverse notation f⁻¹(x) represents?The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)
The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;
Taking the square root of both sides of the equation, we get;
√(f(x)) = √((x + 3)²)
√(f(x)) = (x + 3)
Subtracting 3 from both sides, we get;
√(f(x)) - 3 = x + 3 - 3 = x
√(f(x)) - 3 = x
The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;
The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x
When the output value is f(x) = 49 we get;
f⁻¹(49) = √(49) - 3 = ±7 - 3
Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;
f⁻¹(49) = 7 - 3 = 4
f⁻¹(49) = 4
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What are the values of x and y? A) X= 9/2; y = 9 B) x = 1843 ; y= 983 C) x= 9; y = 983 OD) x= 913 ; y=9
Answer:
Y = 9
Cause the Sin30 = 0.5
and 9² + x² = 18²
324 - 81 = x²
x² = 243
x = 9 √3
The answer becomes "D"
Tony calculates that 3 cubic metres of concrete is enough for the path.
He decides to use a concrete mix which has:
cement = 1 part
sand = 2 parts
gravel = 3 parts
How many cubic metres of gravel does Tony need?
Answer:
Amount cubic metres of gravel need = 1.5 cubic meter
Step-by-step explanation:
Given:
Parts
cement = 1 part
sand = 2 parts
gravel = 3 parts
Find:
Amount cubic metres of gravel need
Computation:
Amount cubic metres of gravel need = 3[Part of gravel / Total of all parts]
Amount cubic metres of gravel need = 3[3 / (1+2+3)]
Amount cubic metres of gravel need = 3[3 / 6]
Amount cubic metres of gravel need = 3[0.5]
Amount cubic metres of gravel need = 1.5 cubic meter
What types of concurrent constructions are needed to find the orthocenter of a triangle?
A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side
C. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
D. intersection of the lines drawn to bisect each vertex of the triangle
Answer:
B. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side
Step-by-step explanation:
The orthocenter of a triangle is the point of concurrency of the three altitudes or extensions of the the altitudes of a triangle, each of which are perpendicular lines drawn from a vertex of the triangle to the side opposite the vertex
The type of concurrent construction needed to find the orthocenter of a triangle is the point of intersection of the perpendicular lines drawn from each vertex of the triangle, to the side opposite the vertex
Therefore, the correct option is option B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side.
a handbag was purchased for Rs.280/- and sold for Rs.350/- calculate profit%
Answer:
profit is 25%
Step-by-step explanation:
profit%=sp-cp/cp×100%
=350-280/280×100%
=0.25×100
=25%
Julie has 5.00 and wants to buy some glue at Walmart glue cost 4.25 how much will julie get back in change and you have to subtract a d slove problem
Answer:
read below vv
Step-by-step explanation:
d = 5.00 - 4.25
d = 0.75
Answer:
Julie will get back 0.75 in change.
Step-by-step explanation:
d=4.25
5.00-d => 5.00-4.25 = 0.75
Hope this answered your question!
In the diagram below, if the measure of < C = 45°, and side AB = 16, then side AC =
Select one:
a. 8
b. 32
c. 16/2
d. 16
Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{16}{AC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
AC = 16[tex]\sqrt{2}[/tex] → C
The measure of the side of a triangle AC is [tex]16\sqrt{2}[/tex] cm.
Given that, ∠45° and AB=16 cm.
We need to find the measure of side AC.
How do use trigonometric ratios to find the measure of the sides of a triangle?There are three steps:
Choose which trigonometric ratio to use. Choose either sin, cos, or tan by determining which side you know and which side you are looking for.Substitute your information into the trigonometric ratio.Solve the resulting equation to find the length of the side.Now, [tex]sin \ C=\frac{AB}{AC}[/tex] (∵ sinα=Opposite/Hypotenuse)
[tex]sin 45^{o} =\frac{16}{AC} \\[/tex]
[tex]\implies \frac{1}{\sqrt{2} } =\frac{16}{AC}[/tex]
[tex]\implies AC=16\sqrt{2}[/tex] cm
Therefore, the measure of the side of a triangle AC is [tex]16\sqrt{2}[/tex] cm.
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please help !!!
12. JKL = ONM by SAS. Select one set of corresponding parts that could be marked congruent by CPCTC.
Answer:
D
Step-by-step explanation:
The statement of congruency shows which vertices are corresponding.
Answer: D
m 2 = aº, m 3 = bº, m 41
a
b
a + b
a-b
Answer:
m,4+ a+b
Step-by-step explanation:
an exterior angle equals the sum of the 2 opposite interior angles
Una empresa textil dedicada a la confección y venta de pantis Glamour realiza la siguiente promoción de sus productos: para pedidos de hasta una decena, el par de pantis Glamour de cualquier tamaño lo vende a S/. 5. Pero si se hacen pedidos mayores a una decena de pares, cada par de media tiene un valor de S/. 3.
Respuesta:
S / 25
S / 45
S / 75
Explicación paso a paso:
Dado :
Para pedidos de hasta una docena; par de pantimedias Glamour Costo S / 5
Para pedidos de más de una docena; par de pantimedias Glamour Costo S / 3
Función de costo:
Para x ≤ 12
Costo, C = 5x
Para x> 12
Costo, C = 3x
Costo de 5 pedidos:
x = 5
Costo, C = 5 (5) = S / 25
Costo de 15 pedidos:
x = 15
Costo, C = 3 (15) = S / 45
Costo de 25 pedidos:
x = 25
Costo, C = 3 (25) = S / 75
The measure of two complementary angles are 2x degree and 3x degree, then value of x is
Answer:
2x+3x=90
or ,5x=90
or,x=90/5
X=18
Answer:
90/5=18 degrees
Step-by-step explanation:
David’s mother gave him $200.00 to buy some carrots at the Blue Market. She will be using the carrots to make juice for her church barbecue on Friday. At the market, David finds two vendors selling carrots. Vendor A has carrots for $40.00 per kilogram, and Vendor B has larger carrots for $50.00 per kilogram. Question: A. From which vendor should David buy the carrots? B. Explain why you have chosen that vendor
Answer:
Assuming that the quality (large vs. small) is the same, and PRICE is the main considerations... The $40 would be a better deal....
This reminds me of the old classic joke (told to me way back when , when I was 5 years old)... Which weighs more a ton of bricks, or a ton of feathers.....
I have to be honest being a five tear old the answer confused me, but I finally
figured it out... THEY BOTH WEIGH THE SAME AMOUNT !!!
Step-by-step explanation:
Mk
From which vendor should David buy the carrotcould you tell me how
to do pls
Answer:
f) 60+x+30=180°
90+x=180°
x=180-90
x=90°
g) y+35+75=180°
y+110=180
y=180-110
y=70°
pls help me both questions
with explanation sum
9514 1404 393
Answer:
3) x = 55, y = 123, z = 123
4) x = 276°
Step-by-step explanation:
3)Angles P and Q are alternate interior angles, so are congruent.
P = Q
3x -42° = 2x +13°
x = 55° . . . . . . . . . . . add 42°-2x
Then Q = 2x +13 = 2(55°) +13° = 123°.
Angles Y, P, Q, and Z are all congruent, so all have the same measure.
Y = Z = 123°
__
4)If you draw a horizontal line parallel to AB and CD through point O, then small angle POQ is divided into parts that are congruent with angles APO and CQO. That is, small angle POQ = 48° +36° = 84°.
Large angle POQ is then 360° -84° = 276°
Let E= {prime numbers less than 30} Work out n(E)
Answer:
10
Step-by-step explanation:
E={2,3,5,7, 11, 13, 17, 19, 23, 29}
therefore,
n(E)={10}
Answer:
10 if I recall correctly
Please help me solve this
Answer:
The 2nd one is 3x+1
The 3rd answer is x+3
Step-by-step explanation:
Given g(x)=4x-1 and f(x)=x-2
Subtracting both
4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1
The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3
CA Geometry A Illuminate Credit 4 FF.pdf
all 4 pls
Answer:
1) HL=LJ=63
(ZJ)²=16²+63²
(ZJ)²=256+3969
ZJ=√4425
ZJ= 65
2)HJ=HL+LJ
= 63+63
HJ=126
3) XC=XA=8
4) BE=AB/2=20/2=10
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2. A pack of 7 rolls of tape sells for $2.73. If the tape is sold individually at the
same rate, how much would 3 rolls cost?
$1.56
$1.17
$0.78
$0.39
3 rolls would cost $1.17.
What is Concept of Direct Proportion?There exists a direct proportion between two values when one exists as a multiple of the other.
In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.
If 7 rolls of tape cost $2.73,
Then 1 roll of tape would cost $2.73/7 = $0.39
Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17
Therefore, at same rate the 3 rolls of tape would cost $1.17.
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If I had to write 2 pages a day, how long would it take me to write 300 pages?
Time required for writing 2 pages = 1 day
So, time required for writing 1 pages
= 1 day/2
= ½ day
So, time required for writing 300 pages
= ½ day × 300
= (300/2) days
= 150 days
Answer:
150 days
Step-by-step explanation:
We can write a ratio to solve
2 pages 300 pages
----------- = ------------
1 day x days
Using cross products
2x = 300
Divide by 2
2x/2 = 300/2
x = 150
150 days
Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
made $90 more than Amanda. If their total earnings for a week are $995, how much did each person make?
Answer:
Pam: $181
Amanda: $362
Julie: $452
Step-by-step explanation:
(What does Mike have to do with this problem?)
Let a = Amanda's pay
Let p = Pam's pay
Let j = Julie's pay
"Amanda made twice what Pam earned"
a = 2p
"Julie made $90 more than Amanda"
j = a + 90
j = 2p + 90
Pam earned p
Total salary
a + p + j = 2p + p + 2p + 90
Total salary
$995
2p + p + 2p + 90 = 995
5p = 905
p = 181
a = 2p = 2(181) = 362
j = 2p + 90 = 362 + 90 = 452
Answer:
Pam: $181
Amanda: $362
Julie: $452
what is the volume if the radius is 7m and the height is 9m.
subtract the following polynomial (4x+7)-(x+1)
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{(4x+7)-(x+1) }[/tex] [tex]\sf{4x+7-x-1 }[/tex] [tex]\sf{4x-x+7-1 }[/tex] [tex]\sf{3x+6 }[/tex]If f of x equals the quotient of the quantity x squared minus 36 and the quantity x plus 6 is continuous at x = -6, find f(-6).
Answer:
f(-6) = -12
Step-by-step explanation:
If you immediately plug in x=-6 and solve it (x^2-36)/x+6, you will not get the right answer.
You need to first expand the perfect square on the numerator (x^2-36) into (x-6)(x+6).
With the perfect square expanded, notice how you have the term (x+6) on both the numerator and denominator. You can cancel out both terms, and you will be left with (x-6).
Now you can plug in x=-6, which will give you -12.
