Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
In the question some iformation is missing, which can be defined as follows:
Given:
The value of males:
[tex]n_1= 59\\s_1= 1.46\\\bar y_1=2.91\\[/tex]
The value of Females:
[tex]n_2=60\\s_2= 2.48\\\bar y_2=7.42\\[/tex]
Calculating Degrees of Freedom:
[tex]\bold{ df=\frac{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}{ \frac{1}{n_1-1} (\frac{s_1^2}{n_1})^2+\frac{1}{n_2-1} (\frac{s_2^2}{n_2})^2}}\\\\\\[/tex]
[tex]=\frac{(\frac{1.46^2}{59}+\frac{2,48^2}{60})^2}{ \frac{1}{59-1} (\frac{1.46^2}{59})^2+\frac{1}{60-1} (\frac{2.48^2}{60})^2}\\[/tex]
[tex]=9.58 or 95[/tex]
[tex]\alpha= 1-0.95\\\\[/tex]
[tex]= 0.05[/tex]
for 95% confidence interval are:
[tex]\frac{\alpha}{2} = \frac{0.05}{2} = 0.025[/tex]
From its t-distribution table , the value of t has an region of ([tex]\frac{\alpha}{2} \ \ 0.025[/tex]) for (df=95) in its upper tail.
shall be given by = t {0.025}=1.985
Calculating the margin of Error:
[tex]M_OE =t_{0.025} \times \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}[/tex]
[tex]=1.985\times \sqrt{\frac{1.46^2}{59}+\frac{2.48^2}{60}}\\\\=0.739[/tex]
The difference in mean bill color "[tex]\mu_2 -\mu_1[/tex]" with 95% confidence intervals:
[tex]\to (7.42 - 2.91) \pm 0.739\\\\\to 4.51 \pm 0.739[/tex]
Lower limit=3.771
Upper limit = 5.249
Please help and show work ..... need fast ... college algebra The half-life for thorium-227 is 18.72 days. The amount A (in grams) of thorium-227 after t days for a 10-gram sample is given by A(t)=10⋅0.5^t/18.72 How long will it take before 1 grams of thorium-227 is left in the sample? Round your answer to the hundredths place. days
Answer:
62.17 days
Step-by-step explanation:
The computation of the number of days is shown below:
Given that
A(t)=10 × 0.5^(t ÷ 18.72)
1 = 10 × 0.5 ^ (t ÷ 18.72)
0.1 = 0.5 ^ (t ÷ 18.72)
Now consider the log in both sides
ln(0.1) = ln(0.5)^ (t ÷ 18.72)
ln(0.1) ÷ ln(0.5) = (t ÷ 18.72)
3.321928095 = (t ÷ 18.72)
So, t = 62.17 days
With the help of log, we can easily compute it
On a block of ten houses, k are not insured. a tornado randomly damages three houses on the block. the probability that none of the damaged houses are insured is 1/120. calculate the probability that at most one of the damaged houses is insured.
Answer:
[tex]P=0.1833[/tex]
Step-by-step explanation:
The number of ways or combinations in which we can choose x elements from a group of n is calculated as:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
So, the probability that none of the damaged houses are insured can be calculated as:
[tex]\frac{kC3}{10C3}=\frac{kC3}{120}[/tex]
Because there are 120 ways to select 3 houses from the block of 10 houses and there are kC3 ways to select 3 houses from a group of k houses that are not insured.
The probability that none of the damaged houses are insured is 1/120, so:
[tex]\frac{kC3}{120}=\frac{1}{120}\\ kC3=1[/tex]
kC3 is equal to 1, only if k is equal to 3. It means that there are 3 houses that are not insured.
Then, the probability that one of the damaged houses is insured can be calculated as:
[tex]\frac{3C2*7C1}{10C3}=0.175[/tex]
Because we select 2 houses from the 3 that are not insured and select 1 house from the 7 that are insured.
Finally, the probability that at most one of the damaged houses is insured is equal to the sum of the probability that one of the damaged houses is insured and the probability that none of the damaged houses is insured. It is equal to:
[tex]P=\frac{1}{120}+0.175=0.1833[/tex]
What statements is equal to the expression p\11
Answer: "p divided by 11" or "p over 11" or "p by 11".
Step-by-step explanation:
We use mathematical statements to express any algebraic expression.
For example: We write 2x as "2 is multiplied by x " or " product of 2 and x".
p+q as "sum of p and q" or "p is added to q"
The given expression is : [tex]\dfrac{p}{11}[/tex]
In mathematical statements, it can be written as "p divided by 11" or "p over 11" or "p by 11".
Hence, the statements are equal to the expression [tex]\dfrac{p}{11}[/tex] are "p divided by 11" or "p over 11" or "p by 11".
Please help; thank you! :D ((I would offer some points, but I'm new and I don't know how that works lol))
Answer/Step-by-step explanation:
Given that the side length of a squared field is represented by the expression 3 - 7x,
a. Perimeter of the squared field (expressed as a sum):
Permimeter of a square = s + s + s + s
All sides of a square are of equal length.
s = side length of the squared field = 3 - 7x
Thus,
Perimeter expressed as a sum = (3-7x) + (3-7x) + (3-7x) + (3-7x)
b. Permitted of squared field expressed as a product:
Perimeter of square expressed as product = 4(s)
s = side length of squared field = 3 - 7x
Permimeter of squared field expressed as a product = 4(3 - 7x)
c. An equivalent expression for the product in (b) can be written using the distributive property as follows:
Perimeter = 4(3 - 7x)
Perimeter = 4(3) - 4(7x)
Find the value of x^3 + y^3 + 12xy – 64, when x +y = 4
Answer:
0
Step-by-step explanation:
Using the algebraic identity
(x + y)³ = x³ + y³ + 3xy(x + y) ← substitute x + y = 4
4³ = x³ + y³ + 12xy , that is
x³ + y³ + 12xy = 64 ( subtract 64 from both sides )
x³ + y³ + 12xy - 64 = 0
Answer:
the answer is zero
Step-by-step explanation:
x^3 + y^3 + 12xy – 64 factorize the polynomial
x^3+y^3-4^3+3(4xy) 64 is 4^3
take x+y-4 as a common factor
(x+y-4)(x^2-xy+4x+y^2+4y+16) substitute x+y=4
(4-4)(x^2+y^2-4^2-3xy)
=0 any amount multiply by zero =0
What is the area of the shaded sector, given circle Q has a diameter of 10?
Answer:
25 pie square units
Step-by-step explanation:
it is because as they showed 90 degree as the on side the other sides=90*3 so we can easily find it
The area of the shaded region will be 18 ³/₄ π square units. Then the correct option is A.
What is the area of the sector?Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the area of the sector of the circle will be
Arc = (θ/2π) πr²
The central angle of the shaded region is (3/2)π radian. And the diameter of the sector is 10 units. Then the radius of the sector is given as,
r = d / 2
r = 10 / 2
r = 5 units
The area of the shaded region is given as,
A = ((3/2)π/2π) π (5)²
A = 25 x (3/4)π
A = (75/4)π
A = 18 ³/₄ π square units
The area of the shaded region will be 18 ³/₄ π square units. Then the correct option is A.
More about the area of the sector link is given below.
https://brainly.com/question/7512468
#SPJ2
The function below represents the interest Kristina earns on an investment. Identify the term that represents the amount of money originally invested. f(x) = 5,000(1 + 0.04)x
Answer:
The amount of money originally invested which is the principal P = 5,000
Step-by-step explanation:
Using the compound interest formula, the return on investment can be represented on the interest function as;
f(x) = P(1+r)^x
Where
P is the principal which is the initial investment.
r = rate Proportion
x = time (number of years)
Comparing to the given function;
f(x) = 5,000(1 + 0.04)^x
We can see that;
Principal P = 5,000
Rate r = 0.04
time = x
The amount of money originally invested which is the principal P = 5,000
Xiao Duo and Xiao Hua have the same number of balloons. After Xiaoduo used 16 balloons, Xiaohua's balloons were 3 times that of Xiaoduo. How many balloons does Xiaohua have?
Answer:
Step-by-step explanation:
Let the number of balloons be X
Xiao Duo = X
Xiao Hua = X
Xiaoduo used 16 balloons = x - 16
Xiaohua balloons x = 3 ( x - 16)
x = 3x - 48
Collect like terms
48 = 3x - x
48 = 2x
Divide both sides by 2
48/2= x
x = 24
Xiaohua has 24 balloons
**BRAINLIEST IF ANSWERED**
Which equation represents a circle that has a diameter of 10 units and a
center at (4,-1)?
(x+4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=25
(x+4)^2+(y-1)^2=10
Answer:
third option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus
(x - 4)² + (y - (- 1))² = 5², that is
(x - 4)² + (y + 1)² = 25 ← equation of circle
The graphs below have the same shape.What is the equation of the red graph ?
Answer:
B. G(x) = x³ - 5
Step-by-step explanation:
The graphs below are the same shape. They share the same formula but different y-intercepts.
F(x) = x³ has a y-intercept of 0.
F(x) = x³ + 0
G(x) has a y-intercept of -5.
G(x) = x³ - 5
Answer:
x^3 - 5
Step-by-step explanation:
Which one doesn’t belong and why?
i think y= b^x because it is only the odd one from the group
A rectangle has a perimeter of 66 meters and a height of 14.2 meters. What is the length of the base?
Hey there! I'm happy to help!
The perimeter is the distance around the rectangle. You have used the word height, but I will replace it with the word width because the word height is usually used with 3D shapes.
If W is the width and the length is L, the formula for the perimeter is 2W+2L=P.
We can plug in the numbers we already have to solve for L, the length of our base.
2(14.2)+2L=66
28.4+2L=66
We subtract 28.4 from both sides.
2L=37.6
We divide both sides by 2.
L=18.8
The length of the base is 18.8 meters.
Have a wonderful day!
Question 15 PLEASE HELP Find the y-intercepts of -x+2y=12. Y-intercept: (0,___)
Answer:
(0,6)
Step-by-step explanation:
A box plot is shown below: *check file attached* What is the median and Q1 of the data set represented on the plot? A. Median = 30; Q1 = 20 B. Median = 33; Q1 = 20 C. Median = 30; Q1 = 25 D. Median = 33; Q1 = 25
Hey there! I'm happy to help!
A box and whisker plot is a super useful tool for finding these kinds of data!
The ends of the whiskers represent the maximum and minimum point in the data set. With this plot, we can immediately see that the maximum is 44 and the minimum is 20.
Then, we have a box. The edges of the box represent the 1st and 3rd quartiles. The 1st quartile is the median or middle of the first half of the data set and the 3rd quartile is the median of the second half. We see that the 1st quartile is 25 because the left edge of the box aligns with 25. The 3rd quartile is 39 by looking at the plot.
The median is the middle number of the data set. The median is represented by the line that splits the box. We see that the median is 33 by looking at the plot.
So, by interpreting the box and whisker plot, we see that the answer is D. Median=33; Q1=25.
Now you can interpret box and whisker plots! Have a wonderful day! :D
There are 130 people in a sport centre, 73 people use the gym, 62 people use the swimming pool, 58 people use the track, 22 people use the gym and pool, 29 people used the pool and track, 25 people use the gym and track, 11 people use all three facilities, how many people use at least two facilities
Answer:
59/130
Step-by-step explanation:
the sum of 4 and the second power of b is equal to 104. write as an equation
Answer:
4 + b² = 104
Hope this helps. :)
Answer:
b^{2} + 4 = 104.
Step-by-step explanation:
The sum of 4 and the second power of b basically means 4 + b^2.
b^2 + 4 = 104
[tex]b^{2} + 4 = 104[/tex]
b^2 = 100
b = plus or minus 10.
Hope this helps!
what's the best prouduct of these fractions 4/7×8/9×14/15
━━━━━━━☆☆━━━━━━━
▹ Answer
448/945
▹ Step-by-Step Explanation
[tex]\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
Step-by-step explanation:
4/7×8/9×14/15
= 64/135
Find the area of the shape shown below.
Answer:
31.5
Step-by-step explanation:
To find the area of this shape we must divide it into 2 parts :
Part 1 : the triangle Area= (3*(7/2))/2= 10.5 Part 2: the rectangle Area = 7*3 = 21 The total area is : A= 21+10.5=31.5Evaluate 4x² + 2xy for x = 5 and y = 2.
Hey there! :)
Answer:
120.
Step-by-step explanation:
Substitute in 5 for x and 2 for y into the expression 4x² + 2xy:
4(5)² + 2(5)(2) =
4(25) + 2(10) =
100 + 20 =
120.
HELP ASAP !!!!! pleaseeee
A new square has dimensions that are the size of the original square. What statements are true? Select all that
10
apply.
The dimensions of the new square are 10 times the dimensions of the original square.
1
The perimeter of the new square is
10
times the perimeter of the original square.
The perimeter of the new square is equal to the perimeter of the original square.
The perimeter of the new square is 10 times the perimeter of the original square.
1
The area of the new square is
times the area of the original square.
100
The area of the new square is 100 times the area of the original square.
Answer: The new square is the same since it hasn't changed it's size.
Step-by-step explanation: cause it is
Answer:
is B and E
Step-by-step explanation:
I did it on edge
A point A is graphed at (0, 5). Complete the coordinates of a shape that can be rotated about the y-axis to create a cone. Provide an explanation for your answer please
Answer:
(0, 5), (0, 1), and (3, 1).
Step-by-step explanation:
If the shape should be rotated about the y-axis to make a cone, then the shape needs to be a right triangle. It will have its length on the y-axis, and the other length either parallel to, or on, the x-axis.
Since we already have a point at (0, 5), we can have another point at (0, 1). That means that the side length is 4. Now, we can make a 3-4-5 right triangle by having another point at (3, 1).
Hope this helps!
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer: B. H(t) = -6.9(t - 2.3)² + 112
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k
where (h, k) is the vertex ⇒ k is the maximum height
the distance traveled is when y = 0 ⇒ [tex]x=\sqrt{\dfrac{-k}{a}}+h[/tex]
Given: H(t) = -7.1(t - 2.3)² + 98
maximum height (k) = 98 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-98}{-7.1}}+2.3[/tex] = 6.02 seconds
A) H(t) = -7.5(t - 2.2)² + 112
maximum height (k) = 112 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-7.5}}+2.2[/tex] = 6.06 seconds
B) H(t) = -6.9(t - 2.3)² + 112
maximum height (k) = 112 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-6.9}}+2.3[/tex] = 6.33 seconds
C) H(t) = -6.9(t - 2.4)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
D) H(t) = -7.5(t - 2.3)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.
What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.
Answer:
2
Step-by-step explanation:
1/2+1/3+1/4 - 0.9
0.9 = 9/10
So, 1/2+1/3+1/4+9/10
The LCD is 60:
30/60+20/60+15/60+54/60 = 120/60
120/60 = 2
PLEASE MARK ME BRAINLIEST!
Answer:
2
Step-by-step explanation:
What is the name of the map maker who, according to some, gave Venezuela its name? Salvador Dali Christopher Colombus Amerigo Vespucci Leonardo Da Vinci
The answer is C. Amerigo Vespucci
Explanation:
Venezuela is a South-American country that was first discovered and colonized by Spanish explorers. This process included multiple expeditions that allowed colonizers to better understand the features of the territory and native people. One of these expeditions that took place in 1499, included the Italian mapmaker, Amerigo Vespucci. About this, it is claimed he considered the territory and the houses found near a lake resemble Venice, and due to this, he named the territory as "Veneziola", which later changed to the modern name Venezuela.
Answer:
c c a d c
Step-by-step explanation:
answers to the quiz edge got 100% source trust bro
If m∠VWA=120∘ and m∠BWC=(32x−27)∘, what is the value of x?
Answer:
Value of x = 4.6 (Approx)
Step-by-step explanation:
Note:
The statement in given question is missing that both angles are congruent.
Given:
m∠VWA = 120°
m∠BWC = (32 x - 27)°
Find:
Value of x
Computation:
We know that,
⇒ m∠VWA = m∠BWC
⇒ 120 = 32x - 27
⇒ 120 + 27 = 32x
⇒ 147 = 32x
⇒ x = 147 / 32
⇒ x = 4.59375
x = 4.6 (Approx)
Which option or options is correct?
All of them are true.
A: Rule.
B: There exist such functions f and g that satisfy the equality.
C: According to (A) this is acceptable.
D: Rule.
Hope this helps.
Answer:
D part
Step-by-step explanation:
Approximate the stationary matrix S for the transition matrix P by computing powers of the transition matrix P. Pequalsleft bracket Start 2 By 2 Matrix 1st Row 1st Column 0.38 2nd Column 0.62 2nd Row 1st Column 0.24 2nd Column 0.76 EndMatrix right bracket
Answer:
The stationary matrix is:
S = [0.2791, 0.7209]
Step-by-step explanation:
The transition matrix, P is:
[tex]P=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]
The stationary matrix S for the transition matrix P would be obtained by computing k powers of P until all the two rows of P are identical.
Compute P² as follows:
[tex]P^{2}=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]
[tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right][/tex]
Compute P³ as follows:
[tex]P^{3}=P^{2}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right][/tex]
Compute P⁴ as follows:
[tex]P^{4}=P^{3}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right][/tex]
Compute P⁵ as follows:
[tex]P^{5}=P^{4}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2791&0.7209\\0.2791&0.7209\end{array}\right][/tex]
For k = 5, we get both the rows identical.
The stationary matrix is:
S = [0.2791, 0.7209]
can someone help me solve this
What is the third quartile of this data set?
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
A. 24
B. 44
C. 29
O D. 39
SU
Answer:
D
Step-by-step explanation:
First find the median of the data set
The median is the middle value of the data in ascending order
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
↑ median = 29
The third quartile is the middle value of the data to the right of the median
35, 37, 39, 42, 44
↑ third quartile
The third quartile of the data set is 39
the ratio 2.5m to 60cm can be written in the form 1:n find the value of n. someone please help asap
Answer:
1 : 6/25
Step-by-step explanation:
Convert 2.5 meters to cm
We know 100 cm = 1m
2.5 m * 100cm / 1m = 250 cm
250 cm : 60 cm
Divide by 250
250/250 = 60/250
1 : 6/25
or as a decimal
1 : .24