Answer:
Hence the true proportion is (0.388, 0.492).
Step-by-step explanation:
Given n=250,
[tex]p= 110/250 =0.44[/tex]
[tex]a=0.1, |Z(0.05)|=1.645[/tex] (check standard normal table)
So 90% CI is
[tex]p ± Z*√[p*(1-p)/n]\\0.44 ± 1.645*sqrt(0.44*(1-0.44)/250)\\ ( 0.388, 0.492)[/tex]
does anyone know the answer to this question
Kayla wants to fence in a rectangular dog pen that is 30 ft by 40 ft How would you use wha
you know about geometry to help her ensure that she has truly built a rectangular pen?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the dimension of the dog pen = 30 ft by 40 ft.
Using the knowledge of geometry, that know that a rectangle has been built, the area of the pen should be :
Area of rectangle = Length * width
Area = 40 * 30
Area = 1200 ft²
Perimeter of rectangle = 2(Length + width)
Perimeter = 2(40 + 30)
Perimeter = 2(70)
Perimeter = 140 feets
Hence, area of the pen should be 1200 ft² and its perimeter or fencing should measure 140 feets
Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Excel File: data10-03.xlsx Enter negative values as negative numbers. a. What is the value of the test statistic? (to 2 decimals) b. What is the -value? (to 4 decimals) c. With , what is your hypothesis testing conclusion? - Select your answer -
Answer:
[tex]z = -1.53[/tex] --- test statistic
[tex]p = 0.1260[/tex] --- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given
[tex]n_1 = 80[/tex] [tex]\bar x_1= 104[/tex] [tex]\sigma_1 = 8.4[/tex]
[tex]n_2 = 70[/tex] [tex]\bar x_2 = 106[/tex] [tex]\sigma_2 = 7.6[/tex]
[tex]H_o: \mu_1 - \mu_2 = 0[/tex] --- Null hypothesis
[tex]H_a: \mu_1 - \mu_2 \ne 0[/tex] ---- Alternate hypothesis
[tex]\alpha = 0.05[/tex]
Solving (a): The test statistic
This is calculated as:
[tex]z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}[/tex]
So, we have:
[tex]z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}[/tex]
[tex]z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}[/tex]
[tex]z = \frac{-2}{\sqrt{0.8820 + 0.8251}}[/tex]
[tex]z = \frac{-2}{\sqrt{1.7071}}[/tex]
[tex]z = \frac{-2}{1.3066}[/tex]
[tex]z = -1.53[/tex]
Solving (b): The p value
This is calculated as:
[tex]p = 2 * P(Z < z)[/tex]
So, we have:
[tex]p = 2 * P(Z < -1.53)[/tex]
Look up the z probability in the z score table. So, the expression becomes
[tex]p = 2 * 0.0630[/tex]
[tex]p = 0.1260[/tex]
Solving (c): With [tex]\alpha = 0.05[/tex], what is the conclusion based on the p value
We have:
[tex]\alpha = 0.05[/tex]
In (b), we have:
[tex]p = 0.1260[/tex]
By comparison:
[tex]p > \alpha[/tex]
i.e.
[tex]0.1260 > 0.05[/tex]
So, we fail to reject the null hypothesis.
The distance to the grocery store is
13.456 miles. Round this distance to
the nearest whole number,
Answer: 13 miles
Step-by-step explanation: If you're rounding to the nearest whole number your answer should not consist of a decimal. You are rounding based on your tens place because you're trying to find the nearest whole number. Your tenths place value is 0.4. In order to know if you're rounding up or down you have to rememeber anything between 0-4 you round down (keep the number the same). Anything 5-9 you're rounding up the next number.
Question 5
Which of the following correctly does the calculation 76?
a = 7% 6
a = 746
a = 7* 6
a = 7* 6
Answer:
7**6
Step-by-step explanation:
The expression 7^6 ; can be interpreted as 7 raised to the power of 6 ; which is (7 * 7 * 7 * 7 * 7 * 7). To execute this expression using a computer or basic mathematical operation on a computer we use the power symbol which the computer understand this the double multiplication symbol (**)
Hence, 7^6 = (7**6)
What is the value of the following function when x = 0?
y
5
(x)
4
3
2
1
V 2
-54 -3
3
4
х
5
Answer:
y=-2 when x=0
Step-by-step explanation:
The value of the function f(x), When x = 0 is y = - 2.
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
From the graph of the function, it intersects the x-axis at two distinct places
so it is a polynomial of degree two.
Let the given function be f(x).
By observing the graph of the function f(x), When x = 0, f(x) = - 2.
Or y = - 2.
learn more about polynomials here :
https://brainly.com/question/11536910
#SPJ7
A manufacturer knows that their items have a lengths that are skewed right, with a mean of 10 inches, and standard deviation of 1.6 inches. If 39 items are chosen at random, what is the probability that their mean length is greater than 10.5 inches
Solution :
Given :
Mean, μ = 10 inches
Standard deviation, σ = 1.6 inches
Sample size is n = 39
Therefore,
[tex]$\mu_{\overline x}=\mu = 10$[/tex]
[tex]$\sigma_{\overline x}=\frac{\sigma}{\sqrt n } = \frac{1.6}{\sqrt{39}}$[/tex]
= 0.25
[tex]$P (\overline X > 10.5 ) = P\left( \frac{\overline X - \mu_{\overline x}}{\sigma_{\overline x}} > \frac{10.5 - 10}{0.25} \right)$[/tex]
= P( Z >2)
= 1 - P(Z < 2)
= 1 - 0.97225 (from standard normal table)
= 0.0277
Can someone help me with this question please..
Answer:
The ordered pair would be (2,3)
2 in the first Box
3 in the second
Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth).How many distinct two-geon objects do we have in the space described above?
Answer:
49500
Step-by-step explanation:
According to the Question,
Given That, Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition, and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge). and a pair of geons can be placed in 10 distinct qualitative relations.We have, District geons = 20 , District Size = 5
So, The Number Of Ways A geon can be selected 20 x 5 = 100Now, We choose 2 geons From 100 Geons and arrange them in 10 district relations.
So, The number of district two-geon object= [tex]\left[\begin{array}{ccc}100\\2\end{array}\right] * 10[/tex]
= (100 × 99)/2 × 10
= 49.5×100×10 ⇒ 49500
4+x*100%-41-y/14*9(23/78)*6289-2.987075347=
Answer:
wenus.
Step-by-step explanation:
4 inches. hduruuruthtututuu4u4
Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5 (and your wager) for rolling a 5 or a 2, nothing otherwise. What are your expected net winnings, to the nearest cent?
solve for this square.
Answer:
a2
b4
c16 brainliest plzz
Answer:
a) SV = 2
The line that is SV actually is not the full slash. It is halfway, and we know that half of four would be two.
b) RT = 4
This time RT is a full line going all the way down. So it would be 4.
c) p = a + b + c
The lengths are all the same because we calculated in the first question that two is half of four. So the base, height, and hypotenuse are the same, 2.
2 + 2 + 2 = 6
So the perimeter of the triangle RVS is 6.
I need help ASAP please anyone
Answer:
112
Step-by-step explanation:
Answer:
112
Step-by-step explanation:
4×4= 16×2=32
5×4= 20×2=40
5×4= 20×2=40
Total = 112
i need help finding m<1 please :)
Answer
c,116°
Step-by-step explanation:
i don't know how to draw a diagram?
Join ends of chord with the center making angles ∠2,∠3 and angle at the center.
angle at the center=128°
∠1=∠2+90°
∠2=∠3
∠2+∠3+128=180
∠2+∠2+128=180
2∠2=180-128=52
∠2=52/2=26
∠1=26+90=116°
sorry i can't explain properly without picure.
Help will give brailiest to first answer
question isn't loading
Step-by-step explanation:
Answer:
i think it is b but don't take my word
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answer:
Step-by-step explanation:
[tex]9\frac{1}{8} = 2\frac{1}{4} +x[/tex]
[tex]\frac{9*8+1}{8} =\frac{4*2+1}{4} +x[/tex]
[tex]\frac{73}{8} =\frac{9}{4} +x[/tex]
[tex]\frac{73}{8} =\frac{9+4*x}{4}[/tex]
do cross multiplication
[tex]8(4x+9)=4*73\\32x+72=292\\32x=292-72\\x=220/32\\x=6.875[/tex]
f(x) = 3x + 10
х
f(x)
-3
-2
-1
-4
When g(x) = 3x, what is g(5)?
Answer:
g(5) = 15
Explanation:
If the x in g(x) is 5 then the x beside 3 would also be 5.
g(5) = 3(5)
g(5) = 15
Hope this helps, good luck!
Answer:
g(5)= 15
Step-by-step explanation:
g(x) = 3x and in this situation x =5 ( g(5) )
so substitute x for 5 in the original equation:
g(x) = 3x --> g(5) = 3(5)
which gives you 15. Hope this helps!
Pythagorean triples are super important to know. If the hypotenuse of a triangle is 15, what are its legs ( hint - use the three, four, five triple)
Answer:
9, 12
Step-by-step explanation:
Just multiply the 3,4,5 triple by 3 and u get 9, 12, 15
A chemist is using 331 milliliters of a solution of acid and water. If 16.2% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
9514 1404 393
Answer:
53.6 mL
Step-by-step explanation:
The amount of acid is 16.2% of 331 mL, or ...
0.162 × 331 mL = 53.622 mL
There are about 53.6 mL of acid in the solution.
Plsss answer thissss
Answer:
lol
Step-by-step explanation:
Answer:
285 cm
Step-by-step explanation:
perimeter of big triangle
base = 19 + 27
=46 cm
perimeter = base*height/2
=46*30/2
=1380/2
=690 cm
perimeter of not white not shaded triangle
base = 27 cm
height = 30 cm
perimeter = base*height/2
=27*30/2
=810/2
=405 cm
perimeter of shaded triangle = 690 cm - 405 cm
=285 cm
3. Two dice are rolled. What’s the conditional probability that both dice are 5’s if it’s known that the sum of points is divisible by 5?
Answer:
[tex]Pr =\frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space
First, list out all outcomes whose sum is divisible by 5
[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]
So, we have:
[tex]n(A) = 3[/tex]
Next, list out all outcomes that has an outcome of 5 in both rolls
[tex]B = \{(5,5)\}[/tex]
[tex]n(B) =1[/tex]
The required conditional probability is:
[tex]Pr =\frac{n(B)}{n(A)}[/tex]
[tex]Pr =\frac{1}{3}[/tex]
6(x + 2) in the simplest form
Using the Distributive Property we can put this in its simplest form.
6(x+2)
(6)(x)+(6)(2)
6x+12
Answer:
6x + 12
Step-by-step explanation:
Use the distributive property to multiply the 6 to the x and 2 to get 6x + 12.
Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of columns. He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
2)How many chairs can he remove to arrange in a way that he wants? Justify your answer.
Answer:
84
59
Step-by-step explanation:
In other to have the same number of chayes in both rows and columns ;
If the Number of chairs per row = x ; then number of chairs per column = x
Then the total number of chairs needed = x * x = x²
Hence, if there are 5100 chairs ;
Number of chairs needed more ;
Take the square root of 5100 ;the round to the next whole number :
B.) For number of chairs to be removed ;
Take the square root of 5100 and round down to the whole number.
Hence,
A.) = √5100 = 71.414 = 72
72² - 5100 = 84
B.) 5100 = 71.414 = 71
5100 - 71² =
Daniel measured the diameter of the base of a candle. If the diameter of the candle measures 7 cm, what is the measure of the radius?
Step-by-step explanation:
diameter (d) = 7cm
radius (r)= d/2 .... formula
= 7/2 .....put the value
= 3.5cm
the measure of radius is 3.5cm.
for the function x^2+8x+7
evaluate f(4)
Answer:
I think you would have to plug in 4 as X so it would be 4^2 +8(4)+ 7
that would be 16+ 32 +7 and that would equal 55
What is the solution set for the quadratic inequality x2 – 5 ≤ 0?
Answer: -4...?
Step-by-step explanation:
I need to know the answer this is confusing
Answer:
46
Step-by-step explanation:
102 + 32 = 134
180 - 134 = 46
x = 46
please help me find the area
Answer:
320 square feet.
Step-by-step explanation:
For the moment, let's put the square back in place. That would make the length 16 + 8 = 24 and the width 16.
L = 24
W = 16
Area = L * W
Area = 24 * 16
Area = 384
Now the next step is to take out the square. It is 8 * 8 = 64
The area of the figure = 384 - 64 = 320 square feet, and that's the answer.
Answer:
320 in^2
Step-by-step explanation:
we need to find the area of this figure
Firstly divide above picture in two parts
1st figure = (16*16)in.
2nd figure = (8*8)in.
Area of 1st figure = 16*16 = 256 in^2
Area of 2nd figure = 8*8 = 64 in^2
Area of whole figure = ( 256 + 64 )in^2
= 320 in^2
3
What is
4
of 100 km?
0,75-100
Answer:
75 km.
Step-by-step explanation:
Fractions of a number
To get the fraction of a number, we multiply that number by the given fraction.
For example two-thirds of 60 is 2/3 × 60 = 2 × 20 = 40 and one-fifth of 100 is 1/5 × 100 = 100/5 = 20
Now, we are supposed to find a fraction of 100 km. Assume its three-quarters.
So, three-quarters of 100 km is 3/4 × 100 km = 3 × 100 km/4 = 3 × 25 km = 75 km
So, three-quarters of 100 km is 75 km.
