There is sufficient evidence to conclude that, the percentage of the families who own a pet is different than 60%.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
It Is said That 60% of families own a pet.
Of a sample of 95 families, 70 owned pets.
Whether the percent of families who own pets is different than 60%.
Let P be a proportion of the family who owns pets
Then by the test, we have
H₀: P = 0.60
Hₐ: P ≠ 60
Then by the test statistic, we have
[tex]z_o = \dfrac{\bar{P} - P_o}{\sqrt{\dfrac{P_o(1 - P_o)}{n}}}[/tex]
Where
[tex]\bar P[/tex] = sample proportion
P₀ = hypothesis proporion
n = sample size
Then we have
[tex]\bar P[/tex] = x/n
[tex]\bar P[/tex] = 70/95
[tex]\bar P[/tex] = 0.74
Then the test statistic will be
[tex]z_o = \dfrac{0.74-0.60}{\sqrt{\dfrac{0.60(1-0.60)}{95}}}[/tex]
z₀ = 2.785
Then the critical region will be
Critical value = ± [tex]z_{\alpha /2}[/tex]
α = 0.05
α/2 = 0.025
Then we have
z₀.₀₂₅ = 1.96
Then the critical value will be
Critical value = ± 1.96
We reject if [tex]|z_o| > |z_{\alpha /2}|[/tex]
We have
[tex]|z_o| > |z_{\alpha /2}|\\[/tex]
2.79 > 1.96
We reject the null hypothesis at a 5% significance level.
There is sufficient evidence to conclude that, the percentage of the families who own a pet is different than 60%.
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Find the value of x in the given
right triangle.
7
X
10
x = [ ? ]
The value of x in the given right triangle is approximately 7.14
How to find unknown side in a right triangle?Hypotenuse = 10opposite = xAdjacent = 7Hypotenuse² = opposite² + adjacent ²
10² = x² + 7²
100 = x² + 49
100 - 49 = x²
51 = x²
x = √51
x = 7.14142842854284
Approximately,
x = 7.14
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Use ruler and compasses to bisect line AB.
Step-by-step explanation:
open ur compass more than half of the line and draw arc from both end. connect the line from 2 point of from the two arc
Solve each equation.
1. x+6=4
2.x- -4 = -6
3.2(x-1)=-200
4.2x+-3=-23
Step-by-step explanation:
1) x+6 =4
x. =4-6
x. =-2
2) x-(-4) =-6
x+ 4. =-6
x. =-6-4
x. =-10
3)2(x-1)=-200
2x-2 =-200
2x. = -200+2
2x. = -198
x. = -198/2
x. = -99
4)2x+(-3) =-23
2x-3. =-23
2x. =-23+3
2x. =-20
x. =-20/2
x. = -10
The number of slugs in a garden t days from now is p, where
Po= 100
Pt+1= 1.06pt
ork out the number of slugs in the garden 3 days from now.
Answer:
..........
..........
....
x
i
an
Answer:
119.1
Step-by-step explanation:
Pt+1=1.06x100
P3=106^3x100
=119.1016
The students in Dale's grade voted to select a guest speaker. 3 students voted for a famous
athlete. The other 22 students in Dale's grade voted for a famous actor. What percentage of
the students voted for the athlete?
Answer:
12
Step-by-step explanation:
3/(22 + 3) voted for athelete
multiply everything by 4 to get fraction over 100
12/(88 + 12) voted for athelete
that means 12 percent voted for athelete
Write an inequality for which 3, -4 and 2,300 are solutions
Answer:
2x < 600
Step-by-step explanation:
The triangles below are similar because of the:
Answer:
AA similarity postulate
Explanation:
For triangle XZY, the angles are 90°, 40°, 50°.
For triangle AXB, the angles are 90°, 40°, 50°.
Which states that all the angles are of equal measure in the triangles.
This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.
The circular fountain in
front of the courthouse has a radius of
9.4 feet. What is the circumference of
the fountain? Round to the nearest
tenth.
Answer:
59.1 feet
Step-by-step explanation:
The formula for the circumference of a circle in C=2πr. Since the radius of the circle is given, all you have to do is plug it into the equation.
C=2πr
C=2π(9.4)
C=18.8π feet <-- this is the exact answer
C=59.1 feet
solve for x -
[tex]x {}^{2} - 6x + 5= 0[/tex]
ty! ~
Answer:
x = 5, x = 1
Step-by-step explanation:
Hello!
We can solve this quadratic by factoring.
Solve[tex]x^2 - 6x + 5 = 0[/tex][tex]x^2 - 5x - x + 5 = 0[/tex][tex]x(x - 5) - 1(x - 5) = 0[/tex][tex](x - 5)(x - 1) = 0[/tex]Use the zero product property:
x - 5 = 0x = 5, or x = 1
Please help, sigma notations please big project 100 points
Answer:
I believe the answer is: [tex]3B_i[/tex]. (Your equation should look something like this: [tex]\sum _{i=3}^5\:B_{\left(i\right)}[/tex] )
Step-by-step explanation:
[tex]1. \sum _{i=3}^5=\sum _{i=1}^5-\sum _{i=1}[/tex]
2.[tex]=\sum _{i=1}^5B_{\left(i\right)}-\sum _{i=1}^2B_{\left(i\right)}[/tex]
3.=[tex]=\sum _{i=1}^5B_{\left(i\right)}= 5B_{\left(i\right)[/tex]
4.[tex]\sum _{i=1}^2B_{\left(i\right)}= 2B_{\left(i\right)[/tex]
5.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}[/tex]
6.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}=3B_{\left(i\right)}[/tex]
7. The answer should be: [tex]3B_{\left(i\right)}[/tex]
Hope this helps...
Consider the expressions 7y + 5 − 3 and 7y + 2. Which statement is true?
which graph represents a function
Answer:
I think it's the one in the middle
Step-by-step explanation:
Which statements are true about the solution 2< x -7
First one to give CORRECT answer within 5 minutes gets-
12 points
Brainlist
Answers:
x > 9
Graph has open circle
Arrow points to the right
======================================
Reason:
Add 7 to both sides to go from the original inequality to 9 < x, which is the same as x > 9
The graph will involve an open circle at 9. We don't include this endpoint because there isn't "or equal to" in the inequality sign.
We shade to the right due to the "greater than"
This visually shows all values larger than 9.
Question 19 of 25
5x
x²-11x
= 1. Solve for x.
4
O A. X = 16
OB. x= 3
O C. x = 6
OD. x = 22
Quadratic equations are equation that has degree of 3. The value of x from the quadratic equation is 3
Factorizing the quadratic equationQuadratic equations are equation that has degree of 3. Given the following equation;
5x²-11x = 1
Equate to zero
5x²-11x - 1 = 0
Find the solution using quadratic solution
[tex]x=\frac{11\pm\sqrt{121-4(5)(-1)}}{2(5)}\\x=\frac{11\pm\sqrt{141} }{10} \\x=\frac{11\pm11.87 }{10} \\x=\frac{22.87}{18}\\ x\approx 3[/tex]
Hence the value of x from the quadratic equation is 3
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Graph a line that contains the point (6, -5) and has a slope of -2/3.
We know that the equation of the line is in the form [tex]y=-\frac{2}{3}x+b[/tex]. To find b, we can use the fact that (6,-5) lies on the line, meaning that both sides of the equation are equal when x=6 and y=-5.
[tex]-5=-\frac{2}{3}(6)+b\\-5=-4+b\\b=-1[/tex]
Hence, the equation of the line is [tex]y=-\frac{2}{3}x-1[/tex], and its graph looks something like follows.
Step by Step Explanation:
consider the given figure
Step-by-step explanation:
mark me brainlist please!!
the answer is A
Suppose you have two bags of marbles that are in a box. bag 1 contains 7 white marbles, 6 black marbles, and 3 gold marbles. bag 2 contains 4 white marbles, 5 black marbles, and 15 gold marbles. the probability of grabbing the bag 1 from the box is twice the probability of grabbing the bag 2.
create a simulation to estimate the probability of pulling a gold marble. assume you put the marble back in the bag each time you pull one out. make sure to run the simulation enough times to be confident in your final result.
rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.Her friend ronan's house is due north of her house. Adter showing he new scooter she went to library which is due west from ronaks house.while returning back she drove 17km diagonally to her house find distance between rhea and her friends house. How far is the library from ronaks house.
(Urgent!!)
The distance between rhea and her friend's house could be 8 km and The distance of the library from the rocks house could be 15 km.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.
Her friend Ronan's house is due north of her house.
After showing him the new scooter she went to the library which is due west from rocks house.
while returning back she drove 17km diagonally to her house.
By Pythagoras' theorem
|AC|^2 = |AB|^2 + |BC|^2
Here we can assume that
AB = The distance between rhea and her friend's house.
BC = The distance of the library from rocks house.
The triplet of the 17 would be (8, 15, 17)
So, we can say that the AB could be 8 km and BC could be 15 km or vice versa.
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a) Work out the size of angle x. b) Give reasons for your answer. + A E C xº B F 105° G D H
Check the picture below.
4.9t+0.3=5.6t+0.72 I need help on my work lol
The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this. What is given to us to accomplish that goal is the expression [tex]4.9t+0.3=5.6t+0.72[/tex].
Now that we have completed that step, we can move onto the next part which is actually solving the problem. The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.
Subtract 4.9t from both sides
[tex]4.9t+0.3=5.6t+0.72[/tex][tex](4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(0.7t)+0.72[/tex]Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.
Subtract 0.72 from both sides
[tex]0.3=0.7t+0.72[/tex][tex]0.3 - 0.72=0.7t+0.72 - 0.72[/tex][tex]0.3 - 0.72=0.7t[/tex][tex]-0.42=0.7t[/tex]The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42
Divide both sides by 0.7
[tex]-0.42=0.7t[/tex][tex]\frac{-0.42}{0.7}=\frac{0.7t}{0.7}[/tex][tex]\frac{-0.42}{0.7}=t[/tex][tex]-0.6=t[/tex]Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6
A. 3/5
B. 3/10
C. 1/5
D. 1/2
1. explain the steps to use coordinates in
calculating the perimeter and area of
polygons? explain your procedure when
working with diagonal sides and irregular
shapes on the coordinate plane. 2. explain
how the distance formula and slope formula
are used to classify various quadrilaterals and
triangles.
We need to explain the steps to use coordinates in calculating the perimeter and area of the polygon.
We need to explain the procedure when working with diagonal sides and irregular shapes on the coordinate plane.
The location of a point in the XY-plane is determined by coordinates. The vertex, which is the point where two lines of a shape meet to form a corner, is a unique place. We can determine the perimeter and area of a figure after we have the coordinates for all of its vertices.
Steps to calculate the perimeter and area of a polygon:
Step 1: Plot the given points on the graph.
Step 2: Connect the points and identify the figure.
Step 3: Determine lengths by counting the grid lines.
Step 4: Use a formula to calculate the perimeter and area if one exists.
Step 5: If there are no formulas for a figure, the perimeter can be calculated by summing the lengths of the sides. We might estimate the area without an area formula by counting the number of small squares enclosed.
Note: If you are using diagonal to calculate the area, then use the distance formula to calculate the length of the diagonal.
We need to explain how the distance formula and slope formula
are used to classify various quadrilaterals and triangles.
Distance formula: [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]
The length of a triangle's sides can be calculated using the distance formula. If the lengths of all three sides are equal, the triangle is said to be equilateral.An isosceles triangle is formed when the lengths of any two sides are equal.If the length of the opposite sides is equal, then the quadrilateral could be a rectangle or a parallelogram.If the length of all sides is equal, then the quadrilateral could be a square or a rhombus.Now, we use slope to find the angles i.e. If:
The product of two slopes is -1, then the lines are perpendicular and so, form right angle between them.If the slope of two lines is equal, then the lines are parallel.So, this gives us that the option 'Use the slope to check whether sides are perpendicular and form right angles' is correct.Since some quadrilaterals have the property that the diagonals are perpendicular bisectors of each otherUse the distance formula to measure the lengths of the sides.Use the slope to check whether the sides are perpendicular and form right angles.Use the slope to check whether the diagonals are perpendicular to eachTo learn more about coordinate geometry visit:
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Use the standard deviation values of the two samples to find the standard deviation of the sample mean differences.
sample standard deviation
red box 3.868
blue box 2.933
then complete each statement.
the sample size of the session regarding the number of people would purchase the red box,
n
1
, is .
the sample size of the session regarding the number of people would purchase the blue box ,
n
2
, is .
the standard deviation of the sample mean differences is approximately .
The standard deviation of the sample mean differences is 4.854
How to determine the standard deviation of the sample mean differences?The table of values is given as:
Sample Standard deviation
Red box 3.868
Blue box 2.933
The standard deviation of the sample mean differences is calculated using:
[tex]\sigma = \sqrt{\sigma_1^2 + \sigma_2^2}[/tex]
This gives
[tex]\sigma = \sqrt{3.868^2 + 2.933^2}[/tex]
Evaluate the expression
[tex]\sigma = 4.854[/tex]
Also, the table of value do not give any information regarding the sample size.
This means that the sample size of the session regarding the number of people would purchase the red box and the blue box are unknown
Hence, the standard deviation of the sample mean differences is 4.854
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You are a travel agent contacted by the Alonzo family who plans for a three-day summer vacation in Hong Kong. You are to present to them a variety of transportation packages within their allotted budget. The package should interest all the members of the family, namely: Mr. and Mrs. Alonzo; Joshua, their 24-year old son; and Bea, their 12-year old daughter. Create a diagram showing the variety of transportation options for all the family members to choose from. Explain how you arrived at those options.
Answer:
[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]
magpakailanman
[tex]\pink{\rule{1pt}{999999pt}}[/tex]
A six-sided number cube is rolled and the proportion of 3s is calculated. The graph shows the long-run relative frequency of 100 rolls of this die. A graph titled proportion of threes has frequency on the x-axis, and probability on the y-axis. The graph increases, and then stays steady around y = 0.17. Which conclusion can be drawn from this graph? There is a 20% chance of rolling a 3 with this die. The long-run frequency of rolling a 3 appears to be about 0.17. Because the probabilities on the left part of the graph fluctuate so much, we cannot conclude that this is a fair number cube. This number cube must be fair because each outcome of rolling a 1, 2, 3, 4, 5, or 6 has the same probability of occurring.
The conclusion that can be drawn from this graph on the long-run frequency of 100 rolls is The long-run frequency of rolling a 3 appears to be about 0.17.
What does the graph show?At the 0.17 probability, the proportion of 3s calculated levels off from around the 40th roll to the 100th roll.
This means that the long-run frequency of rolling a 3 is around 0.17 because this was the probability seen for most of the rolls over time.
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what is the median of, 50, 30, 40, 10, 20, 80, 60, 90, 10, 30, 110, 70?
Answer:
45
Step-by-step explanation:
median is the middle number after arranging a set of numbers in ascending or descending order.
let's arrange the set of numbers above in ascending order
10, 10, 20, 30, 30, 40 50, 60, 70, 80, 90, 110
since there are 12 digits in total, count out five digits starting from extreme left and also count out five digits starting from extreme right.
the two numbers left in the middle are 40 and 50.
median 40+50/2 = 90/2= 45
The graph of which of the following will be perpendicular to the graph of y = 2x – 4? A. 2x + y = 4 B. 4x – 2y = 4 C. y = –2x + 8 D. 2x + 4y = 1 Please select the best answer from the choices provided
200 Points !!!!!!
The linear function that has a graph perpendicular to y = 2x – 4 is given by:
D. 2x + 4y = 1
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.If two lines are perpendicular, the multiplication of their slopes is of -1. The line y = 2x + 4 as a slope of 2, hence the slope of the perpendicular line will be given by m as such:
[tex]2m = -1[/tex]
[tex]m = -\frac{1}{2} = -0.5[/tex]
Hence option D is correct, as:
2x + 4y = 1
4y = -2x + 1
y = -0.5x + 0.25
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If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 33 feet from the building how tall is the building?
Answer:
Formulate
Based on the given conditions, formulate:
[tex] \sqrt{3 {9}^{2} } - 3 {3}^{2} [/tex]
Evaluate
Evaluate the equation/expression:
20.78461
SO THE ANSWER IS 20.78461
Answer:
20.78 feet
Step-by-step explanation:
[tex]39^{2} =h^{2} +33^{2} \\1521= h^{2} +1089\\h^{2}= 1521-1089\\h^{2} =432h= 20.78[/tex]
A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find a) the distance travelled by motorcycle. b) the displacement
The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.
What is Distance and Displacement ?Distance and Displacement both are the measure of the movement of an Object from one point to another.
Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.
Distance travelled will always be positive but Displacement can be positive , negative and zero.
A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure
The missing figure is attached with the answer.
(a) The distance covered by the motorcycle is
2πr = 2 * 3.14 * 5 = 31.4 km
(b) The displacement will be equal to 0 as the starting and the ending point is same.
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may someone help me with this problem? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's find the value of given expression for x = 5 ~
[tex]\qquad \sf \dashrightarrow \:3(3x + 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:9x + 15[/tex]
now, plug in the value of x as 5
[tex]\qquad \sf \dashrightarrow \:9(5) + 15[/tex]
[tex]\qquad \sf \dashrightarrow \:45 + 15[/tex]
[tex]\qquad \sf \dashrightarrow \:60[/tex]
so, the equivalent value is 60