Answers
Answer:
66°
Step-by-step explanation:
When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:
mHJ = mKJ
and substitute:
x + 20 = 6x - 45
20 = 5x - 45
65 = 5x
x = 13
mHK is the sum of mHJ and mKJ, we can write mHK as the expression:
x + 20 + 6x - 45
7x - 25
We can substitute x:
7(13) - 25
91 - 25
66°
Related Questions
A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If
Shaiyara gets $20 more than Zahin, find the total sum of money shared and the amount
Farah gets.
Answers
Answers:
Total amount of money = 220 dollarsAmount Farah gets = 100 dollars==========================================================
Explanation:
F = amount Farah getsS = amount Shaiyara getsZ = amount Zahin getsThe money is divided in the ratio 10:7:5
This means that
F = 10xS = 7xZ = 5xfor some positive real number x.
Since Shaiyara gets $20 more than Zahin, we can say,
S = Z+20
Let's plug in S = 7x and Z = 5x and solve for x
S = Z+20
7x = 5x+20
7x-5x = 20
2x = 20
x = 20/2
x = 10
Therefore,
F = 10x = 10*10 = 100S = 7x = 7*10 = 70Z = 5x = 5*10 = 50The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.
The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.
On Patrick's bookcase, 64% of the book are paperback, 0.2 are hardcovers with a dust jacket, and the rest are hardcovers without a dust jacket. Which type of book does he have the least number of?
Answers
Answer:
The hardcover without a dust jacket.
Step-by-step Explanation
0.2 is 20%, so if you add that to the 64% you can see what the other percentage of books are. 64%+ 20% = 84. So if you subtract 84 from 100 that equals 16, so the other book percentage is 16%, which makes the hardcovers without a dust jacket the least number of books Patrick has.
This Venn diagram has three regions.
In which region does any rectangle belong?
A
B
C
A Venn diagram that has Region A labeled 4 sides the same length, Region C labeled 4 right angles, and Region B which is the overlap of regions A and C.
Answers
what is the solution to -3^2+4(-3)(-3)
Answers
Answer:
The solution is 45.
Step-by-step explanation:
9+4(9)
9+36
45
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{ -3^2+4(-3)(-3)}[/tex]
[tex]\mathsf{-3^2}\\\mathsf{= -1\times3^2}\\\mathsf{3^2=3\times3=\bf 9}\\\mathsf{-1\times9}\\\mathsf{= \bf -9}[/tex]
[tex]\mathsf{-9 +(4)(-3)(-3)}[/tex]
[tex]\mathsf{4(-3)=\bf -12}[/tex]
[tex]\mathsf{= -9 + (-12)(-3)}[/tex]
[tex]\mathsf{(-12)(-3)=\bf 36}[/tex]
[tex]\mathsf{-9+36=\bf 27}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 27}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day. At the 0.10 level of significance, do the data provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0. 88? Identify the hypothesis statements you would use to test this. H0: p = 0.88 versus HA : p < 0.88 H0: p < 0.88 versus HA : p = 0.88 H0: p = 0.863 versus HA : p < 0.863
Answers
Answer:
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
Step-by-step explanation:
Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88
At the null hypothesis, we test if the proportion is of 0.88, that is:
[tex]H_0: p = 0.88[/tex]
At the alternate hypothesis, we test if this proportion is less than 0.88, that is:
[tex]H_a: p < 0.88[/tex]
The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.88 is tested at the null hypothesis:
This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]
A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.
This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]
[tex]z = -0.68[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.
Looking at the z-table, the p-value of z = -0.68 is of 0.2483.
The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.
Find the area of the trapezoid by decomposing it into other shapes. A). 25. B). 25.5. C). 27.5. B). 35
Answers
Answer:
C) 27.5
Step-by-step explanation:
C) 27.5
volume of a cube with side length of 5.2 cm.
Answers
Answer:
140.608
Step-by-step explanation:
Amanda is 160 cm tall. She is 10 cm taller than her younger sister Carl a. Which of the following equations can be used to find x? X + 10 = 160 X + 160 = 10 X - 10 = 160 x = 10 + 160
Answers
Answer:
A. x + 10 = 160
Step-by-step explanation:
This is the correct choice since, we already know the height of Amanda and it gives us the difference between her sister and her height. We can formulate an expression.
x + 10 = 160
Solve.
160 - 10 = 150
x = 150
Thus, Carla is 150 centimeters tall.
what type of triangle is shown below check all that apply
Answers
Answer:
The first image is an Isosceles Triangle and Acute
Step-by-step explanation:
obtuse triangle.
obtuse triangle
the cost of 5 DVDs and a $15
Answers
Answer:
$3
Step-by-step explanation:
the cost of 5 DVDs and a $15
you didn't ask anything
Answer:
$3 because 15÷3= 5 so it is 3
In a store 8/300 of the shirts are yellow and 86/600 Are orange what percent of the shirts are not yellow or orange
Answers
Answer:
83%
Step-by-step explanation:
8/300 = 16/600
86 + 16 = 102
that leaves 498 that are not yellow or orange
so, 498/600 = 0.83 or 83%
Which graph represents the PARENT function of y = x^2+ 3
Answers
Answer:
A is the correct graph of the parent function y=x^2
Step-by-step explanation:
While D is the graph of y=x^2+3, it is asking for the parent function. The parent function would be y=x^2 where no transformations have occurred, making A the correct graph
A rice farmer employs 15 men to harvest his crop. The men take 12 days to do the job. If he had employed 9 men, how many days would it have taken them?
Answers
Answer:
15 men * 12 days = 180 man-days
180 man-days / 9 men = 20 days
From a project management stand point man-days doesn’t really equate to much so while you can evaluate schedule, you would typically desire to see more information than this.
Step-by-step explanation:
solve the system by substitution -4x+3y=-2 y=x-1
Answers
Answer:
Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2
-4x+3x-3=-2
-x-3=-2
-x=1
x=-1
Step-by-step explanation:
Answer:
x = -1
y = -2
Step-by-step explanation:
If you look at the second equation, y is already isolated for us:
y = x - 1
so all we need to do is plug in the value for y into the first equation:
-4x + 3(x - 1) = -2
Next all we do is algebra:
[distribute] -4x + 3x - 3 = -2
[condense] -1x - 3 = -2
[add] -1x = 1
[divide] x = -1
Now that we have the value of x, we can use it to find y by plugging it in to either equation.
y = x - 1
[plug in] y = -1 - 1
[condense] y = -2
Answers: x = -1, y = -2
A rose garden is formed by folning a rectangle and a semicircle, as shown below. The rectangle is 21 ft long and 17 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in
your answer.)
Answers
Answer:
76 ft of fence is required.
Step-by-step explanation:
21 ft + 17 ft + 21 ft + 17 ft = 76 ft
A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out what the height of the tree was in 2020.
Answers
Answer:
The height of the tree in 2020 was of 19.63 feet.
Step-by-step explanation:
Exponential equation for growth:
The exponential equation for the growth of an amount has the following format:
[tex]H(t) = H(0)(1+r)^t[/tex]
In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.
A 4 foot tree was planted in 2012 outside a high school.
This means that [tex]H(0) = 4[/tex]
The tree grew continuously by 22% each year from that point.
This means that [tex]r = 0.22[/tex]
Find out what the height of the tree was in 2020.
2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).
[tex]H(t) = H(0)(1+r)^t[/tex]
[tex]H(t) = 4(1+0.22)^t[/tex]
[tex]H(4) = 4(1.22)^t[/tex]
[tex]H(4) = 4(1.22)^8 = 19.63[/tex]
The height of the tree in 2020 was of 19.63 feet.
Naomi pays $1.50 each time she rides the city bus. She has already ridden the bus 18 times so far this year. The expression 1.50b+1.50(18) represents the amount of money she expects to spend on bus rides for the entire year.
What part of the expression represents the amount of money Naomi expects to spend on bus rides between now and the end of the year?
A
b
B
1.50
C
1.50b
D
1.50(18)
Answers
Answer:
D, 1.50(18)
Step-by-step explanation:
just guessing lol
Find the unit price for both quantities: 5 gallons of enamel paint for $62.00 and 8 gallons for $83.00
Answers
Answer:
Unit 1= $12.4 per gallon
Unit 2= $10.375 per gallon
Step-by-step explanation:
Given
[tex]Quantity\ 1= 5\ gallons[/tex]
[tex]Price = \$62.00[/tex]
[tex]Quantity\ 2= 8\ gallons[/tex]
[tex]Price =\$83.00[/tex]
Required
The unit price
The unit price is calculated as:
[tex]Unit = \frac{Price}{Quantity}[/tex]
So, we have:
[tex]Unit\ 1= \frac{Price \ 1}{Quantity\ 1}[/tex]
[tex]Unit\ 1= \frac{\$62.00}{5\ gallons}[/tex]
Unit 1= $12.4 per gallon
[tex]Unit\ 2= \frac{Price \ 2}{Quantity\ 2}[/tex]
[tex]Unit\ 2= \frac{\$83.00}{8}[/tex]
Unit 2= $10.375 per gallon
Write the equation of the line passing through the given points.
Answers
Answer:
a) y=4x-12
b) 4x-y=12
Step-by-step explanation:
1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4
2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12
3) rearrange into ax+by=c form
A cuboid measures 6cm by 3cm by 2cm
Draw a net of the cuboid
Answers
Answer:
See attachment for cube
Step-by-step explanation:
Given
[tex]Length = 6cm[/tex]
[tex]Width = 3cm[/tex]
[tex]Height = 2cm[/tex]
Required
The net of the cuboid
A cuboid has 6 faces.
The dimension of these faces are:
Length and Width; Length and Height;
Length and Width; Length and Height;
Width and Height; Width and Height;
This means that the faces will have the following dimensions:
6cm by 3cm; 6cm by 2cm
6cm by 3cm; 6cm by 2cm
3cm by 2cm; 3cm by 2 cm
Taking into account the above measurements and dimensions, you draw 6 faces, then join similar sides lengths.
See attachment for net of the cuboid
The triangles shown below must be congruent.
45
45
45
45"
12
12
O A. True
B. False
Answers
Kasey has been mowing lawns to save up money for a concert. He earns $15 per hour and needs at least $90 to go to the concert. How many hours should he mow? Write an inequality (with variable) to solve it.
Answers
Answer:
he makes 15 dollars in an hr, so find how much 15 dollars goes into 90. 90 divide 15 = 6. therfore, kasey needs to work for 6 hours to make 90 dollars
For which of the following values of X is 5+X < 5?
Answers
Answer:
x<1
Step-by-step explanation:
5+x<5
x<5-5
x<1
it simply is one , you just take five to the other side making x the subject of the formula
Write a problem that can be answered using the line plot
Answers
Answer:
I cant see anything. . . i dont know if you posted a picture but i didnt get it. . . btw IF SOMEONE SAYS THE EXPLANATION IS IN THIS LINK DO NOT CLICK IT!!!! IT IS A VIRUS. . . I TESTED IT ON MY TEST PC AND IT GAVE ME A VIRUS!!! AGAIN IF ANYBODY GIVES YOU A LINK DO NOT PRESS IT. that being said please tell me the question and i will give you the answer :)
Step-by-step explanation:
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups, and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Draw a conclusion and interpret the decision.
A. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
B. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
C.We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
D. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
Answers
Answer:Sorry i have no time to read it all bro
Step-by-step explanation:
Jordan estimated that his paper airplane would fly 42 feet. It actually traveled 50 feet. What was the percent error?
Answers
[tex] \huge \mathcal{ Answer࿐}[/tex]
Error (e) = 50 - 42 = 8 feetassumed value (a) = 42 feet[tex] \boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]
[tex] \mathrm{ \% \: error =\dfrac{8}{42}} \times 100[/tex][tex] \mathrm{ \% \: error = \dfrac{800}{42} }[/tex][tex]\mathrm{ \% \: error = 19.04 \%}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them play baseball. There are 2 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answers
Answer:
[tex]p= \frac{22}{27} =0.814 = 81.4%[/tex]
Step-by-step explanation:
========================================================
Explanation:
A = number of people who play basketball onlyB = number of people who play baseball onlyC = number of people who play both sports5 play basketball, 2 play both, which means 5-2 = 3 play basketball only. So A = 3.
12 play baseball, 2 play both, which means 12-2 = 10 play baseball only. So we have B = 10.
We have A+B+C = 3+10+2 = 15 people who play one sport, or the other, or both. This is out of 27 total. So that's what leads us to the answer 15/27.
What kind of property is used in the following example?
3 x 7 = 7 x 3
Identity Property
Associative Property
Distributive property
Commutative Property
Answers
9xy + 6ab + 2xb
The expression consists of ? terms, and each term contains ? factors
Answers
Answer:
They're 3 terms
Step-by-step explanation:
Im confused but the factor part because you can argue they're all factors of something. 81,18,4
PQ is the perpendicular bisector of MN what is QN?
Answers
PN = PM
6x + 1 = 10x - 17
Add both sides 17
6x + 1 + 17 = 10x - 17 + 17
6x + 18 = 10x
Subtract both sides 6x
6x - 6x + 18 = 10x - 6x
18 = 4x
Divide both sides by 4
18 ÷ 4 = 4x ÷ 4
9/2 = x
x = 9/2
___________________________
QN = 2x + 5
QN = 2 × ( 9/2 ) + 5
QN = 9 + 5
QN = 14