Using the z-distribution, it is found that the p-value is of 0.5975.
At the null hypothesis, it is tested if the proportions are equal, that is, their subtraction is 0, hence:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:
[tex]H_1: p_1 - p_2 \neq 0[/tex]
The sample sizes and proportions are given by:
[tex]n_1 = 631, p_1 = \frac{133}{631} = 0.2108[/tex]
[tex]n_2 = 121, p_2 = \frac{23}{121} = 0.1901[/tex]
The standard errors are given by:
[tex]s_1 = \sqrt{\frac{0.2108(0.7892)}{631}} = 0.0162[/tex]
[tex]s_2 = \sqrt{\frac{0.1908(0.8092)}{121}} = 0.0357[/tex]
For the distribution of differences, the estimate and the standard error are:
[tex]\overline{p} = p_1 - p_2 = 0.2108 - 0.1901 = 0.0207[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0162^2 + 0.0357^2} = 0.0392[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which [tex]p = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0207 - 0}{0.0392}[/tex]
[tex]z = 0.528[/tex]
Using a z-distribution calculator, with a two-tailed test, as we are testing if the mean is different of a value, the p-value is of 0.5975.
A similar problem is given at https://brainly.com/question/25869410
Please help me with this i am ver confused
Answer:
1) 2/x³ the secound option
2)1/x²⁴ the secound option
I think
Max worked for 2/3 hour. It takes 1/6 hour to make one card. How many cards has Max made? Provide students with fraction bars or guide them in creating a tape diagram as they work in pairs to solve.
Answer: Max has 4 cards.
Step-by-step explanation: 2/6 is equal to 1/3 so 4/6 is equal to 2/3
Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.
Answer:
4 cards
Step-by-step explanation:
Each card takes [tex]\frac{1}{6}[/tex] of an hour to be completed, and Max works for [tex]\frac{2}{3}[/tex] of an hour, so Max must've completed x amount of cards in
[tex]\frac{1}{6} x=\frac{2}{3}[/tex]
And we can solve the equation by multiplying the reciprocal of [tex]\frac{1}{6}[/tex] , which is [tex]\frac{6}{1}[/tex],to solve for x:
[tex]\frac{6}{1} * \frac{1}{6} x = \frac{2}{3} * \frac{6}{1} \\ \frac{6 *1}{6*1} x=\frac{2*6}{3*1} \\ \frac{6}{6} x=\frac{12}{3} \\[/tex]
And for any fraction, if the denominator and the numerator are the same number (except for 0), then it will result in 1.
[tex]1x=\frac{12}{3}[/tex]
The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:
[tex]x=\frac{12}{3}[/tex]
And we can simplify the fraction...:
[tex]x=4[/tex]
And we are done!
Couldn't make a fraction bar but hopes this helps :(
The value of the x intercept for the graph of 4x-5y=40 is
Answer: x=10
Step-by-step explanation:To find the x-intercept, you have to set y=0.
4x-5y=40
4x-5(0)=40
4x-0=40
4x=40
Then divide both sides by 4 to get x=10
Hope this helps! :D
HELP ASAP!!! 100 POINTSS alan collects data about the students in his class. he records their hair color and whether they have have freckles. his results are shown in the table below.
find each probability
a. P(freckles)
b. P(blonde hair or red hair)
c. P(freckles and brown hair)
d. P(no freckles | red hair)
Answer:
A. 52%
B. 36%
C. 16%
D. 4%
Step-by-step explanation:
13/25 people have freckles.
9/25 people have Blonde or red hair.
4/25 people have freckles and brown hair.
1/25 people have freckles and red hair.
Divide the fractions to get the percentages.
The probabilities are A. 52%, B. 56%, C. 16% and D. 4%
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Alan collects data about the students in his class. he records their hair colour and whether they have freckles,
P(E) = (Number of favourable outcomes) ÷ (Sample space).
There are total 25 students in data,
A) Students having freckles = 13
P(freckles) = 13/25% = 52%
B) Students having blonde or red hair = 14
P(blonde hair or red hair) = 14/25% = 56%
C) Students having freckles and brown hair = 4
P(freckles and brown hair) = 4/25% = 16%
D) Students with no freckles and red hair = 1
P(no freckles and red hair) = 4/25% = 4%
Hence, a. P(freckles) = 52%
b. P(blonde hair or red hair) = 56%
c. P(freckles and brown hair) = 16%
d. P(no freckles | red hair) = 4%
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A washer and a dryer cost 825 combined. The washer costs 74 more than the dryer. What is the cost of the dryer?
Answer:
375.5 combined
Step-by-step explanation:
The cost of the dryer is: (825-74)÷2 =375.5 (combined)
Expand and simplify 2(3x – 5) + 3(2x + 3)
Answer:
hope it helps
..........
what is the length of FD? Need help do tomorrow!!!
Answer:
Step-by-step explanation:
The tenure of an FD can vary from 7, 15 or 45 days to 1.5 years and can be as high as 10 years. These investments are safer than Post Office Schemes as they are covered by the Deposit Insurance and Credit Guarantee Corporation (DICGC).
The length of FD in a right-angled triangle with EC as 18 units and CF as 26 units is 20.2 units.
The length of FD can be found using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is FD, and the other two sides are EC and CF.
EC = 18 units
CF = 26 units
Plugging these values into the Pythagorean Theorem, we get:
[tex]FD^2[/tex] = [tex]EC^2[/tex] + [tex]CF^2[/tex]
[tex]FD^2[/tex] = [tex]18^2[/tex] + [tex]26^2[/tex]
[tex]FD^2[/tex] = 324 + 676
[tex]FD^2[/tex] = 1000
FD = [tex]\sqrt{[/tex](1000)
FD = 10 * [tex]\sqrt{[/tex](10)
FD = 20.2 units
Therefore, the length of FD is 20.2 units.
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Correct Question:
In a right-angled triangle with EC as 18 units and CF as 26 units, what is the length of FD.
How to find the inverse of 3log3(x+3)+1. Its with a base of 3
Let [tex]f^{-1}(x)[/tex] be the inverse of
[tex]f(x) = 3 \log_3 (x + 3) + 1[/tex]
Then by definition of inverse function,
[tex]f\left( f^{-1}(x) \right) = 3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]
Solve for the inverse :
[tex]3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]
[tex]3 \log_3 \left(f^{-1}(x) + 3\right) = x - 1[/tex]
[tex]\log_3 \left(f^{-1}(x) + 3\right) = \dfrac{x - 1}3[/tex]
[tex]3^{\log_3 \left(f^{-1}(x) + 3\right)} = 3^{\frac{x-1}3}[/tex]
[tex]f^{-1}(x) + 3 = 3^{\frac{x-1}3}[/tex]
[tex]f^{-1}(x) = 3^{\frac{x-1}3} - 3[/tex]
a ratio of two measurements having different units of measure IS ONE
STEP EQUATION
true
false
The statement that a ratio of two measurements having different units of measure IS ONE is false
Ratios are used to relate measurements of different quantities.
The measures of the quantities may or may not be one (1).
When the second quantity has a measure of one, then the ratio is called a unit rate.
So, the quantities may be one, but it is not a requirement that the measure of one or both quantities be one.
Hence, the statement is false
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Indira was measuring the length of her school's hallway. The first part of the hallway
was 132 inches long. The next part was 3 yards long. How long is the hallway in
feet?
Answer:
132 in /12 in/ft + 3 yd(3ft/yd) = 11 + 9 = 20 ft
Step-by-step explanation:
Answer:
20 ft
Step-by-step explanation:
12 inches = 1 foot
12 : 1 = 132 : y
[tex]\frac{132:y}{12:1}[/tex]
12 × y = 132 × 1
12y = 132
12y ÷ 12 = 132 ÷ 12
y = 11
11 ft
1 yard = 3 feet
1 : 3 = 3 : y
[tex]\frac{1:3}{3:y}[/tex]
1 × y = 3 × 3
1y = 9
y = 9
9 ft
11 ft + 9ft = 20 ft
ALOT OF POINTS FOR THIS ONE
Admission to the state fair is $12, and each ride ticket costs $3.50. Write an
expression to represent the situation and explain what the variable means.
3.50t + 12 where t represents the number of ride tickets
3.50a + 12 where a represents the cost of admission
12a + 3.50 where a represents the cost of admission
12t + 3.50 where t represents the number of ride tickets
Answer:
Step-by-step explanation:
12a + 3.50t x 6rides
Factorise fully 2x2 – 8x
[tex]2x^2-8x=2x(x-4)[/tex]
Answer:
2x ( x - 4)
Hope that helps?
TV that usually sells for $180.59 is on sale for 20% off. If sales tax on the TV is 9%, what is the price of the TV, including tax?
Answer:
157.47448
Step-by-step explanation:
here you go i did all the math hope this helped
Answer:
128.2189
Step-by-step explanation:
thats the price of the TV including tax
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
The second side of a triangular deck is 4 feet longer than the shortest side, and the third side is 4 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 52 feet, what are the lengths of the three sides?
Answer:
13 ft, 17 ft, 22 ft
Step-by-step explanation:
let x be the shortest side, then second side is x + 4 and the third side is
2x - 4
sum the 3 sides and equate to 52
x + x + 4 + 2x - 4 = 52 , simplify
4x = 52 ( divide both sides by 4 )
x = 13
x + 4 = 13 + 4 = 17
2x - 4 = 2(13) - 4 = 26 - 4 = 22
lengths of 3 sides are 13 ft, 17 ft and 22 ft
how to fix my calculator please help meee i cuold not fix it plsss what to do
so, you must have some kind of device for you to make a question on brainly. if you are using your phone, there is probably an already installed calculater app on there. if you don't have one, go to app store or play store and download it. if you are using computer, simply search it. of course, you can also use your phone and just search it on the web.
Answer:
by a new one?????
Step-by-step explanation:
Divide 7 divided by 3/5
Express your answer in simplest form.
Answer:
35/5
Step-by-step explanation:
7/1 divded by 3/5. flip 3/5 to its reciprocal so it becomes 5/3, then times 7/1 by 5/3
Please due today by 10:00
URGENT simplify (5^3 x 5^5)^5
Answer:
5^40
Step-by-step explanation:
Step 1: Multiply the exponents within the parentheses with the exponent outside of the parentheses.
[tex](5^3^*^5)(5^5^*^5)[/tex] [tex](5^1^5)(5^2^5)[/tex]Step 2: Based on the laws of exponents, add the exponents together.
[tex]5^(^1^5^+^2^5^)[/tex] [tex]5^4^0[/tex]Therefore, the answer is 5^40.
For the trig function f(0)=sin(0) whats the input variable
For the trig function g(0)=cos(0) whats the input variable
For the function f(0)=sin(0), 0 is the input variable while f(0) is the output.
For the function g(0)=cos(0), 0 is the input variable while g(0) is the output.
The standard form of representing trigonometry functions is f(x) = sinx or f(x) = cos x
From the functions:
x is the input variable (also known as the domain)y is the output variable also known as the range;Given the trig function f(0)=sin(0), compared with the general equation, we can see that 0 is the input variable while f(0) is the output.
Similarly for the function g(0)=cos(0), 0 is the input variable while g(0) is the output.
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3a+2x-3y=15
Solve for a.
Then Solve put the value for a =
a+7÷10
subtract 2 from both sides
3a - 3y = 15 - 2x
factor out the common term 3
3 (a-y) = 15 - 2x
divide both sides by 3
a - y = 15 - 2x/3
add y to both sides
a = 15-2x/3 + y
then solve put the value for a =
15-2x/3 + y + 7 ÷10
simplify using the common denominator
10(15-2x)+7*3/30
simplify 7 * 3 to 21
10(15-2x)+21/30
expand
150-20x+21/30
simplify 150-20x+21 to -20x + 171
-20x+171/30
Answer: -20x+171/30
[tex]\huge\bf Question:– [/tex]
[tex]\sf \longmapsto \: 3a+2x−3y=15[/tex]
[tex] \bf \huge \: To \: Find:–[/tex]
[tex] \boxed{\bf \: Value\: of \: A}[/tex]
[tex]\huge\bf Solution:–[/tex]
[tex]\sf \longmapsto \: 3a+2x−3y=15[/tex]
[tex]\boxed{ \bf \: Add -2x \: to \: both \: sides}[/tex]
[tex]\sf \longmapsto \: 3a+2x−3y+−2x=15+−2x[/tex]
[tex]\sf \longmapsto \: 3a−3y=−2x+15[/tex]
[tex]\boxed{ \bf \: Add \: 3y \: to \: both \: sides}[/tex]
[tex]\sf \longmapsto \: 3a−3y+3y=−2x+15+3y[/tex]
[tex]\sf \longmapsto \: 3a=−2x+3y+15[/tex]
[tex] \boxed{\bf \: \: Divide \: both \: sides \: by \: 3}[/tex]
[tex]\sf \longmapsto \: \dfrac{3a}{3} = \dfrac{−2x+3y+15}{3} [/tex]
[tex] \boxed{\bf \: Cross \: Multiply}[/tex]
[tex]\boxed{\sf \longmapsto \: a = \dfrac{ - 2}{3} x + y + 5}[/tex]
______________________________________
[tex]\bf \: Put\:The\: Value[/tex]
[tex] \sf \longmapsto \: \dfrac{−2x+3y+15}{3} +7÷10[/tex]
[tex] \boxed{\bf \: Distribute}[/tex]
[tex]\sf \longmapsto \: \dfrac{ - 2}{3} x+y+5+ \dfrac{7}{10} [/tex]
[tex] \boxed{\bf \: Combine \: Like \: terms}[/tex]
[tex]\sf \longmapsto \: \bigg( \dfrac{ - 2}{3} x\bigg) + y +\bigg( 5 + \dfrac{7}{10} \bigg)[/tex]
[tex]\sf \longmapsto \: \dfrac{ - 2}{3} x + y + \dfrac{57}{10} [/tex]
______________________________________
[tex]\boxed{\bf The Answer\: is:–}[/tex]
[tex]\boxed{{\underline{\bf\dfrac{ - 2}{3} x + y + \dfrac{57}{10}} }}[/tex]
Please answer this question IT IS NOT AVTEST DONT TRY TO DELETE IT.
Divide.
5÷1/4
1/20
4/5
5/4
20
Answer:
20.
Step-by-step explanation:
That's the correct answer
Answer:
20
Step-by-step explanation:
To divide by a fraction, such as 1/4, we invert the fraction and then multiply instead of dividing. Thus:
5÷1/4 = 5*(4/1) =20
volume of
a
cone
are
The
and a cylinder
in 9
the ratio 1:9 respectively. The height and diameter
of
16cm and 14cm. The diameter of
the
28cm. Find the height of the cylinkes.
the
cone
are
15
cylinder
The given ratio of the volumes indicates that the volume of the cylinder is 9 times the volume of the cone.
The height of the cylinder is 12 cmReasons:
The given parameter are;
Ratio of the volume of the cone to the cylinder to the 1 : 9
The height and diameter of the cone are; 16 cm and 14 cm
The diameter of the cylinder = 28 cm
Required:
To find the height of the cone:
Solution:
[tex]\displaystyle The \ volume \ of \ a\ cone = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h[/tex]
[tex]\displaystyle The \ volume \ of \ the \ cone = \frac{1}{3} \times \pi \times \left(\frac{14}{2} \right)^2 \times 16 = \mathbf{ \frac{784}{3} \cdot \pi}[/tex]
Volume of a cylinder, V = π·r²·h
[tex]\displaystyle Radius \ of \ the \ cylinder = \frac{28 \, cm}{2} = 14 \, cm[/tex]
Volume of the cylinder, V = π × 14² × h = 2,352·π
The volume of the cylinder = 9 × The volume of the cone
Therefore;
[tex]\displaystyle Volume \ of \ the \ cylinder =9 \times \frac{784}{3} \cdot \pi = \mathbf{2,352 \cdot \pi}[/tex]
[tex]\displaystyle Height \ of \ the \ cylinder, \, h = \mathbf{\frac{2,352 \cdot \pi}{14^2 \cdot \pi}} = 12[/tex]
The height of the cylinder, h = 12 cm
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The aquarium has 3 more yellow fish than green fish. 60% of the fish are yellow. How many green fish are in the aquarium?
5x²-11x +6 . factories the expression
Answer:
5
x
2
−
11
(
x
)
+
6
Step-by-step explanation:
[tex]5x^2-11x+6\\\\=5x^2-5x-6x+6\\\\=5x(x-1) - 6(x-1)\\\\=(x-1)(5x-6)[/tex]
what do the widths of the bars in an energy pyramid represent?
Answer:
it represents and the relative amount of energy in the trophic level.i think sorry if I am wrong
The widths of the bars in an energy pyramid represent the units of energy available within each trophic level.
What is a energy pyramid?It is defined as the graphical representation of the movement of the energy from one living organism to another in the ecosystem.
When we think of one organism eating another, we usually think of a huge, predatory predator at the top of the food chain. While this depicts the ecological relationships between creatures, it does not depict the energy flow throughout the ecosystem.
Every bar's width indicates the units of energy available within each trophic level, while the height remains constant. The flow of energy goes from the bottom up through the layers of the energy pyramid, gradually decreasing as energy is used up by the creatures at each level.
Thus, the widths of the bars in an energy pyramid represent the units of energy available within each trophic level.
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PLZ HELP OFFERING BRAINLIEST
Find the difference. 2/5 (d-10) -2/3 (d+6)
[tex]\dfrac 25 (d-10) - \dfrac 23(d+6)\\\\\\=\dfrac{6}{15} (d-10) - \dfrac{10}{15} (d+6)\\\\\\=\dfrac{6(d-10) -10(d+6)}{15}\\\\\\=\dfrac{6d -60-10d-60}{15}\\\\\\=\dfrac{-4d-120}{15}\\\\\\=-\dfrac{4d}{15} - 8[/tex]
Geometric Applications: For the next three questions, use the information below:
A rectangle has a side with a length of 8ft and a width of (2x+4)ft.
Label the rectangle
15 pts
a) Find the perimeter of the Rectangle:
b) Find the area of the rectangle:
c) If the total Area is 80 square feet, find the width in feet.
Answer:
a)Perimeter= 2(8+2x+4)
=(24+4x)ft
b)Area= 8(2x+4)
=(16x+32)square ft
c)16x+32=80
x=3
width= 2x+4 = 2(3)+4 =10ft
which holds the more capacity 0.75 litres or 350ml
Answer:
0.75 liters
Step-by-step explanation:
1000ml in 1 liter so 0.75*1000=750ml
750ml > 350ml