Since the null hypothesis was not rejected, there is not enough evidence to conclude that under 46% of the residents favor construction of an adjoining bridge.
What is the relation between the decision and the conclusion?There are two decisions possible regarding the null hypothesis, as follows;
Reject the null hypothesis.Do not reject the null hypothesis.The hypothesis are given as follows:
Null hypothesis: proportion is not under 46%.Alternative hypothesis: proportion is under 46%.The null hypothesis was not rejected, meaning that the conclusion regarding the mayor's claim is that there is not enough evidence from the sample of 190 voters to conclude that the percentage is below 46%.
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What is 66253/19
please help this must be turned in by tonight
Answer:
3487
Step-by-step explanation:
A yearly coffee club subscription costs $65. Avery received an offer for 30 % off the subscription cost. What is the sale price of the subscription?
Answer:
$45.50
Step-by-step explanation:
We want to find 70% of the original cost.
[tex].70 \times 65 = 45.50[/tex]
Set up and solve. Round answers to the nearest tenth.A young giraffe casts a shadow of 27 feet when the angle of elevation of the sun is 20°. Draw and label a picture that represents the given information then find the height of the giraffe.
Given,
The length of the shadow is 27 feet.
The angle of elevation is 20 degree.
Required:
The height of the giraffe.
The diagram of the giraffe and shadow is,
The height of the giraffe is:
[tex]\begin{gathered} tan\theta=\frac{side\text{ opposite to }\theta}{side\text{ adjacent to }\theta} \\ tan20^{\circ}=\frac{AB}{BC} \\ BC=tan20^{\circ}\times AB \\ BC=27\times0.36397 \\ BC=9.8\text{ feet} \end{gathered}[/tex]Hence, the height of giraffe is 9.8 feet.
geometry homework.....help me
Answer:
1. Acute Isosceles Triangle
2. Equiangular Equilateral Triangle
3. Obtuse Scalene Triangle
Step-by-step explanation:
Triangle 1:
It is given that there are two congruent sides. By the definition of an Isosceles Triangle, where at least two or more sides are congruent, it is an Isosceles Triangle.
An acute angle is less than 90 degrees. A right angle is 90 degrees. An obtuse angle is greater than 90 degrees. An equiangular triangle is a triangle whose angles are all of the same measure.
By these definitions, Triangle 1 is an acute Isosceles Triangle.
Triangle 2:
It is given that all three sides are congruent. By the definition of an Equilateral Triangle, where all the sides must be congruent, this is an Equilateral Triangle.
An equilateral triangle is also equiangular. So, Triangle 2 is an equiangular Equilateral Triangle.
Triangle 3:
It is given that none of the sides are congruent. By the definition of a Scalene Triangle, where none of the sides are congruent, this is a Scalene Triangle.
By the angle definitions above, as one of the angles are greater than 90 degrees, this is an obtuse triangle.
So, Triangle 3 is an obtuse Scalene Triangle.
A report card shows that a student earns 21 points on a test with a total of 25 points. What percentage of the total points has the
student earned on the test?
Answer: The student got an 84%
Step-by-step explanation:
This one is comparatively simple because 25 is a factor of 100,
we just have to multiply each side by 4 so we get 81 out of 100
Cheers!
Rsmbro
In the equation g(x)--2x^2(x-4)(2x-3) you are tasked to find the roots of the equation, how would you go about solving (2x-3)?
I would solve 2x-3 by first off multiplying, then subtracting. Make sure to start with the equations in the parentheses.
If 9% of a number equals 3, find 36% of that number.
what is the y and x intercept of 5x-7y= -8
SOLUTION
Write out the equation given
[tex]5x-7y=-8[/tex]To find y-intercept, we replace x with 0, hence
[tex]\begin{gathered} \text{for x=0} \\ 5(0)-7y=-8 \\ -7y=-8 \\ \text{Divide both sides by -7} \\ -\frac{7y}{-7}=-\frac{8}{-7} \\ \text{Hence } \\ y=\frac{8}{7} \\ \end{gathered}[/tex]Hence
Y - intercept is ( 0, 8/7 )
Similarly, for x-intercept, we replace y with 0 and find x
[tex]\begin{gathered} \text{for y=0} \\ 5x-7(0)=-8 \\ \text{Hence } \\ 5x=-8 \\ \text{Divide both sides by 5, } \\ \frac{5x}{5}=-\frac{8}{5} \\ \text{Hence } \\ x=-\frac{8}{5} \end{gathered}[/tex]Hence
x- intercept is ( - 8/5 , 0 )
HELP ME I'LL GIVE YOU ALL OF MY POINTS (85) Which form of political participation includes walking in the streets with banners? (2 points)
a
Petition
b
Protest
c
Running for public office
d
Writing letters to officials
Question 2 (2 points)
(04.05 LC)
Who was chosen as the main writer of the Declaration of Independence? (2 points)
a
Benjamin Franklin
b
John Adams
c
Roger Sherman
d
Thomas Jefferson
Question 3 (2 points)
(04.05 LC)
What does the introduction of the Declaration of Independence explain? (2 points)
a
The amount of taxes people pay
b
The living conditions of the poor
c
The natural rights everyone has
d
The route from Philadelphia to New York
Question 4 (2 points)
(04.05 LC)
How does the Declaration of Independence end? (2 points)
a
With a final statement that the Thirteen Colonies are now free from British rule
b
With a list of British town names in the colonies
c
With a list of families from the Mayflower
d
With a suggestion on how to make things better between the colonies and Britain
Question 5 (2 points)
(04.05 LC)
Who was the first person to sign the Declaration of Independence? (2 points)
a
George Washington
b
John Hancock
c
Robert R. Livingston
d
Thomas Paine
Question 6 (2 points)
(04.05 LC)
What did King George III place in the colonies without their permission even during times of peace? (2 points)
a
British coal
b
British troops
c
Plum pudding
d
Spanish cattle
Question 7 (2 points)
(04.05 LC)
Which of these grievances is included in the Declaration of Independence? (2 points)
a
Britain controls who the colonies can trade with.
b
Britain tells the colonies how to build their homes.
c
King George III has never visited the colonies.
d
King George III should wear a silver crown.
Question 8 (2 points)
(04.05 LC)
What does the list of grievances in the Declaration of Independence describe? (2 points)
a
Important towns in the British colonies
b
Places King George III had visited in Britain
c
Ways King George III had violated colonists' rights
d
Ways the government of Britain could be kinder
Question 9 (2 points)
(04.05 LC)
What is political participation? (2 points)
a
Being involved in activities that help decide how a town, state, or country is structured and runs
b
Being involved in local theater and helping promote the plays by placing posters around town
c
Choosing what to wear to go to work or school
d
Doing chores at home to receive an allowance
Question 10 (2 points)
(04.05 LC)
What were Patriots doing that was considered treason against Britain? (2 points)
a
Going to church once a month
b
Planting French lavender in their gardens
c
Selling British tea at the market
d
Talking about independence from Great Britain
Answer:
1. Protest
2. Thomas Jefferson
3. The natural rights everyone has
4. With a final statement that the Thirteen Colonies are now free from British rule
5. John Hancock
6. British troops
7. Britain controls who the colonies can trade with.
8. Ways King George III had violated colonists' rights
9. Being involved in activities that help decide how a town, state, or country is structured and runs
10. Talking about independence from Great Britain
The table shows the results of the men’s long jump in a recent Olympics. Use the table for exercises 1-3.
1. We need to find the distance jumped by the Gold winner, we know that the total distance jumped by three athletes is 25.04, so we can subtract the distances from the Silver and Bronze winners in order to determine what we want. This is done below:
[tex]\begin{gathered} \text{Gold}=25.04-8.37-8.29 \\ \text{Gold}=8.38 \end{gathered}[/tex]Now we need to represent this number as a fraction in its simplest form.
[tex]\text{Gold}=\frac{838}{100}=\frac{419}{50}[/tex]2. In order to determine which medal he would receive, we need to add the distance he actually jumped by 0.06 and compare to the table. We have:
[tex]d=8.25+0.06=8.31[/tex]He would win a Bronze medal.
3. In order to determine how farther Athlete B jumped more than Athlete D, we need to subtract their distances.
[tex]d=8.37-8.11=0.26[/tex]The athlete B jumped 0.26 meters farther than Athlete D.
A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. (READ PICTURE FOR RESTc=
find the value of the expression 4a + 7 when a equals 1/2
Answer:
9
Explanation:
Given the expression:
[tex]4a+7[/tex]When the value of a =1/2
[tex]\begin{gathered} 4a+7=4(\frac{1}{2})+7 \\ =2+7 \\ =9 \end{gathered}[/tex]The value of the expression when a=1/2 is 9.
Solve |x+ 4| = -6 im struggling with this problem
Recall that:
[tex]\begin{gathered} |a|\ge0 \\ \text{for all a}\in\R. \end{gathered}[/tex]Therefore the given equation has no solutions.
Answer: Option B.
What is the percent change from 112 to 96
well, the change is just 112 - 96 = 16.
now if we take 112 as the 100%, what's 16 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 112 & 100\\ 16& x \end{array} \implies \cfrac{112}{16}~~=~~\cfrac{100}{x} \\\\\\ 7=\cfrac{100}{x}\implies 7x=100\implies x=\cfrac{100}{7}\implies x\approx 14.29[/tex]
I need help on what the answer is
In order to show these triangles congruent , we must identify the vertical angles
What is SAS congruent triangle?
SAS criterion stands for Side-Angle-Side criterion. Under this criterion, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
As in the given figure there are two triangles( ΔABC and ΔCDE)
And it is given that the side AC=CE & BC=CD
as we can see that the sides AB and DE are parallel.
So, the ∠ACB and ∠DCE will be equal (vertically opposite angle)
And we can also say that;
∠ABC = ∠CDE & ∠BAC = ∠CED (alternate interior angle)
so, the triangles ΔABC and ΔCDE are congruent through SAS congruency criteria
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please check my answer i need help asap!
Answer:
The answer would be Domain: 6; Range: -8, -2, 0, and 3; so, The answer is B
Step-by-step explanation:
Domain is what x can be, while range is what y can be. We are only given four points: (6, -8), (6, -2), (6, 0), and (6, 3). The only x value to appear is 6, and the only y values to appear are -8, -2, 0, and 3. So, the domain is just 6, and the range is -8, -2, 0, 3
Rebecca is playing a video game that involves planting and cutting down trees. She moves up an energy level for each tree she plants, and she moves down a level for each tree she cuts. If Rebecca reaches energy level 10, she will earn bonus points.
Rebecca is currently at energy level 4. The results of her next 3 turns are:
Turn 1: 6 trees cut
Turn 2: 8 trees planted
Turn 3: 1 tree cut
Answer the questions to find out whether Rebecca earned bonus points in the next 3 turns. Use the number line to help you add.
(You can go into the negetives)
The points she will have using the given inequalities are;
1) After the three turns is; 4 + (-6) + 8 + (-1)
2) After turn one she will have 0 points
3) After turn 2 she will have 8 points
4) After turn 3 she will have 7 points; She will not earn bonus points because she could not reach ten points
How to interpret inequality lines graph?We are told that the rule for Rebecca's movement is that
She moves up an energy level for each tree she plants.
She moves down a level for each tree she cuts.
If she reaches energy level 10, she will earn bonus points.
Now, we are told that she is at level 4.
A) Turn 1 = 6 trees cut
Turn 2 = 8 trees planted
Turn 3 = 1 tree cut.
The expression that represents Rebecca's energy level after the three turns is;
4 + (-6) + 8 + (-1)
B) Rebecca's energy level after the first turn is; 0 points because she cut 6 trees
C) Rebecca's energy level after the second turn is; 8 points because she planted 8 trees
D) Rebecca's energy after turn 3 is; 8 + (-1) = 7
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What would be the height of a building the cast a shadow 50 feet long at the same time
Given:
The height of the girl is 5 ft and the length of the shadow is 2 ft., at the same time the shadow of the building is 50 ft .
Required:
To find the height of the building.
Explanation:
Let the height of the building is h ft.
Since triangle ABC is similar to the triangle DEF.
Thus by using the similarity condition.
[tex]\begin{gathered} \frac{AC}{DF}=\frac{AB}{DE} \\ \frac{5}{h}=\frac{2}{50} \\ h=\frac{50\times5}{2} \\ h=125\text{ ft} \end{gathered}[/tex]Final Answer:
Thus the third option is the correct answer.
Can someone help? :)
Answer:
The equation of the line is -1/3x + 4
Step-by-step explanation:
You would do rise over run or use the slope formula
y2-y1/x2-x1=
2-4/6-0 = -2/6 = -1/3
The y-intercept is when the line hits the y-axis so it would be (0,4) or 4
Sarina's piano teacher gave her a large candy bar. One serving has amass of 39 grams. The candy bar has 2 and 1/2 servings. What is the mass of thewhole candy bar?
We are told that Sarina's piano teacher gave her a large candy bar
The candy bar has 2 and 1/2 servings and one serving has a mass of 39 grams.
We wsnt to determine the mass of the whole candy bar.
The mass of the candy bar can be found to be equal to;
Therefore, we get the mass of the candy bar as;
[tex]2\frac{1}{2}\times39=\frac{5}{2}\times39=97.5[/tex]Therefore, the mass of the candy bar is 97.5 grams
A. Put the following values in order from least to greatest:
4²,-√4, √4²,-2√4, 6-47, √
The order of values in ascending order will be -4<-2<2<2.64<4<16 as the definition of ascending order says, "When numbers are arranged in ascending order, they are done so from smallest to largest".
What is ascending order?When numbers are arranged in ascending order, they are done so from smallest to largest. Climbing down the stairs of numbers starting with their highest value is another way to think of descending. The slide is descended while moving down it. Ascending order, in which the numbers are arranged from lower value to higher value, is the opposite of descending order. A number can be arranged in ascending order by going from smallest to largest from left to right.
Here,
4²=16
-√4=-2
√4²=4
-2√4=-4
6-4=2
√7=2.64
-4<-2<2<2.64<4<16
According to the definition of ascending order, "When numbers are arranged in ascending order, they are done so from smallest to largest," the order of values in ascending order will be -4<-2<2<2.64<4<16.
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Work out the area and the perimeter of each semicircle. Give your answer correct to two decimal places (2 d.p.).
diameter = 24mm
The area of this semi-circle is 38.28 cm² and this can be determined by using the formula of area of the semi-circle.
Given :
The diameter of the semi-circle is 10 cm.
The area of the circle is given by the formula:
A=[tex]\pi[/tex]r²
where r is the radius of the circle.
So, the area of the circle whose radius is 5cm is given by:
A=[tex]\pi[/tex]×(5)²
A=25[tex]\pi[/tex]
The area of the circle is 25[tex]\pi[/tex] then the area of the semicircle whose radius is 5cm is given by:
A[tex]s[/tex]= 25/2([tex]\pi[/tex])
A[tex]s[/tex]=12.5[tex]\pi[/tex]
Now, substitute the value of [tex]\pi[/tex] in the above equation.
A[tex]s[/tex]=12.5×3.142
A[tex]s[/tex]=39.28cm²
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help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
PLEASE HELP NOW!: QS is a perpendicular bisector.Find the value of x.Find the value of y.
Since QS is perpendicular:
[tex]\begin{gathered} 4y=90 \\ \text{solve for y:} \\ y=\frac{90}{4} \\ y=22.5 \end{gathered}[/tex]95ft 40ft 65 ft what is the area of this trapezoid
You can find the area of the trapezoid using the following formula:
[tex]\begin{gathered} A=\frac{a+b}{2}\times h \\ \text{Where:} \\ a=Long\text{ base=95ft} \\ b=\text{short base=65ft} \\ h=\text{height}=40ft \\ A=\frac{95+65}{2}\times40=80\times40=3200ft^2 \end{gathered}[/tex]If f(1) = 5, which expression could represent f (x)?
A- 3x(2) + 14x + 8
B- 3x(2) - 14x - 8
C- 3x(2) + 10x -8
D- 3x(2) - 10x -8
If f(1) = 5, then you can find your answer by substituting 1 in for x in all of the options to figure out which one gives you 5 as a result.
A: 3(1)^2 + 14(1) + 8 = 25 ≠ 5 Nope
B: 3(1)^2 - 14(1) - 8 = -19 ≠ 5 Nope
C: 3(1)^2 + 10(1) - 8 = 5 Yup
D: 3(1)^2 - 10(1) - 8 = -15 Nope
Only C fits f(1) = 5.
An online furniture store sells chairs for $150 each and tables for $650 each. Every day, the store can ship at most 16 pieces of furniture and must sell no less than $3900 worth of chairs and tables. If x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
Using graphical method to solve the system of linear inequalities, the solution are (x, y) 3, 13.
System of Linear InequalitiesA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
To solve this, we can write out the equations as
x + y ≤ 16 ...eq(i)
650x + 150y ≥ 3900 ...eq(ii)
Solving both equations with a graph.
Kindly find the attached graph to the problem.
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A chemist is using 347 milliliters of a solution of acid and water. If 13.9 of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
48.233 milliliters of acid are there.
Given:
A chemist is using 347 milliliters of a solution of acid and water.
13.9% of the solution is acid.
converting 13.9% to decimal:
13.9% = 13.9/100
13.9% = 0.139
milliliters of acid = total milliliters*0.139
= 347*0.139
= 48.233 milliliters.
Therefore 48.233 milliliters of acid are there.
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In a right triangle one of the acute angles is 1/4 the size of the other acute angle find the measure of the larger angle
In a right triangle, there are 2 acute angles and 1 right angle.
Let x be the measure of the larger acute angle, using the triangle sum theorem (that states that the sum of the interior angles of a triangle is 180) we have that:
[tex]\begin{gathered} x+\frac{1}{4}x+90=180 \\ \frac{5}{4}x=180-90 \\ \frac{5}{4}x=90 \\ 5x=360 \\ x=\frac{360}{5} \\ x=72 \end{gathered}[/tex]The larger acute angle measures 72°.
STS Solve Applications Involving Normal DistributionsA set of 1200 exam scores is normally distributed with a mean of 84 and standard deviation of 9. Use theEmpirical Rule to complete the statements below.
Let us upload the bell curve for standard normal distribution
Given that
[tex]\begin{gathered} \mu=84 \\ \sigma=9 \\ \end{gathered}[/tex]15) How many students scored higher than 84
Therefore, the number of students that will score higher than 84 which is the mean will be 50% from the bell curve standard normal distribution.
Hence, the answer is 50%.
19) How many students scored lower than 75?
To get the number of students that score lower than 75, we will subtract 1standard deviation from the mean.
[tex]\begin{gathered} \mu-\sigma=84-9=75 \\ \end{gathered}[/tex]Hence, the number of students will be
[tex]9.2\text{ \%+4.4\%+1.7\%+0.5\%+0.1\%=15.9\%}[/tex]The answer is 15.9%.
20) How many students scored lower than 93?
To get the number of students that score lower than 93, we will add 1standard deviation from the mean.
[tex]\mu+\sigma=84+9=93[/tex]Hence, the number of students will be
[tex]100\text{ \% -(9.2+4.4+1.7+0.5+0.1)\%=100\%-15.9\%=84.1\%}[/tex]The answer is 84.1%.