A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answer : 169
Step-by-step explanation:
4(x+19) = 752
4x +76 = 752
4x = 752 - 76
x = 676/4
x=169
Hope this helps ;)
Please mark me the BRAINLIEST
Find the measurement indicated. Round to the nearest tenth.
9514 1404 393
Answer:
22.015.030.0°137.0°Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
__
1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
__
2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
__
3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
__
4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°
"A driving instructor is investigating whether the time a driver spends in a driverâs education course improves their score on the driverâs test. The instructor randomly selected 10 drivers from a driverâs education course and recorded the number of hours each driver attended the driverâs education course and their corresponding score on the driverâs test. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?"
a. A chi-square test of independence
b. A two-sample t-test for a difference between means
c. A two-sample z-test for a difference between proportions
d. A linear regression t-test for slope
e. A matched pairs t-test for a mean difference
Answer:
e. A matched pairs t-test for a mean difference
Step-by-step explanation:
When the observations from two samples are paired either naturally or by design we find the differences between the two observations of each pair.Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknwn standard deviation σd we perform one sample t- test on them. This is called the paired difference t- test or a paired t- test.
Suppose 10 young recruits are given a physical training by the Army . Their weights are recorded before and after the training. These observations constitutes natural pairing .
When we eliminate the undesireable sources of variation to take observations in pairs , this is called pairing by design.
Factor the expression
10x + 25
A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)
Answer:
B. 5(2x+5)
Step-by-step explanation:
Factor 5 out of 10x+25. and you get 5(2x+5)
Answer:
B. 5(2x + 5
Step-by-step explanation:
If you have any questions feel free to ask in the comments
answer of the question
Answer:
The number of milk chocolate pieces is between 115 and 120 pieces.
Step-by-step explanation:
1. Find the value of x in the figure below.
74°
2x
Answer:
2x-7
Step-by-step explanation:
Simplify.
Remove all perfect squares from inside the square root. Assume x is positive.
√ 20x^8
Find the value of x in the parallelogram below.
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
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Answer:
the answer is 7 feet
Step-by-step explanation:
28/4=7
PLEASE HELP ASAP GEOMETRY I AM LITERALLY DYING!! 100 POINTS REAL ANSWERS ONLY OR YOU WILL BE REPORTED AND GET NO POINTS!
Let’s design a new ferris wheel!! Create a sketch of a new Ferris wheel. This new ferris wheel must have an arc length measuring 3 25π feet. What is the equation of your new ferris wheel if the center must be at least 60 feet from the ground? Be sure to show and explain all work.
9514 1404 393
Answer:
x^2 +(y -61)^2 = 625/36
Step-by-step explanation:
The graph of the above equation is attached.
If the circumference of the wheel is 25π/3 feet, the diameter is ...
d = C/π = (25/3π)/π = 25/3 . . . feet, about 8.33 feet
The radius will be half that value, or 25/6 feet.
For a center point (h, k) and radius r, the equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2
You want the center to be more than 60 feet from the ground, so we can make it be 61 feet. The horizontal location is not specified, so we can make it zero.
This means we apparently want the equation for a circle of radius 25/6 feet with a center that is (x, y) = (0, 61). The equation of this circle is ...
x^2 +(y -61)^2 = 625/36
HELP ME ASAP!!!! I’m very confused and I need help!! Thanks!
Answer:
Reason 2)The transitive property of congruenceStep-by-step explanation:
There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.
A = A . . . . reflexive property
A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)
A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)
__
Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.
The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.
Quinn correctly answered 72 questions on a test, getting a score of 80%. How many questions were on the test?
Answer:
90
Step-by-step explanation:
A new car is purchased for 22300 dollars. The value of the car depreciates at 7.5% per
year. To the nearest year, how long will it be until the value of the car is 7700 dollars?
Answer:I think 3 years
Step-by-step explanation:
sorry if im wrong
2. Find the GCF of: - 4x^2 and 28x^3
Answer: 4x^2
Step-by-step explanation: Multiply that by -1 to get -4x^2 and multiply by 7x to get 28x^3
Zane is putting the strings on 5 harps. Each harp has 48 strings.
How many strings does Zane need for all 5 harps?
Answer:
Zane needs 240 strings for 5 harps.
Step-by-step explanation:
All you have to do is multiply
48 * 5 = 240
So, the answer is 240
Hope this helps! :)
the answer to 2x+56=
Answer:
It can't be simplified or added together because one is multiplied by x and the other is not
Step-by-step explanation:
I need help on number 26
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
a group of students collected old newspapers for a recycling project. the data shows the mass, in kilograms, of old newspapers collected by each student.
23, 35, 87, 64, 101, 90, 45, 76, 105, 60, 55
98, 122, 49, 15, 57, 75, 120, 56, 88, 45, 100.
A.) Find the range of the mass of the newspapers collected.
B.) Find the interquartile range.
Answer:
A. 107 kg
B. 49 kg
Step-by-step explanation:
Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept
x y
0 4
2 9
4 14
6 19
8 24
Answer:
See explanations below
Step-by-step explanation:
Using the coordinate points in the table (0, 4) and (2, 9)
Slope m = y2-y1/x2-x1
m = 9-4/2-0
m = 5/2
slope = 5/2
Get the y-intercept
Substitute m = 5/2 and (0,4) into y = mx+c
4 = 5/2(0) + c
4 = 0+c
c = 4
y-intercept is 4
Get the equation
Recall that y = mx+c
y = 5/2x + 4
Using another 2 points (2,9) and (4, 14)
Slope = 14-9/4-2
Slope = 5/2
Since the slope is the same for the coordinates, hence the the equation is correct
Give Brainliest for the correct Answer 50 points
Answer:
x-30
Step-by-step explanation:
Answer: 5(x-2)=40 5x-10 = 40 5x=50 x=10
Step-by-step explanation:
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helpppppppppppppppppppp
Answer:
c
Step-by-step explanation:
State of the given functions are inverses
Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
1)
Let's find f[g(x)] and simplify.
[tex]f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}[/tex]
[tex]f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}[/tex]
[tex]f[g(x)]=\frac{7}{2}-\frac{3}{4}x[/tex]
As f[g(x)] is not equal to x, these functions are not inverses.
2)
Let's find f[g(x)] and simplify.
[tex]f[g(n)]=\frac{-16+(4n+16)}{4}[/tex]
[tex]f[g(n)]=\frac{-16+4n+16}{4}[/tex]
[tex]f[g(n)]=\frac{4n}{4}[/tex]
[tex]f[g(n)]=n[/tex]
Now, we need to find the other composition function g[f(x)]
Let's find g[f(x)] and simplify.
[tex]g[f(x)]=4(\frac{-16+n}{4})+16[/tex]
[tex]g[f(x)]=-16+n+16[/tex]
[tex]g[f(x)]=n[/tex]
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!
Please help me I really need it
Answer:
Angle C
Step-by-step explanation:
By applying sine rule in the given triangle,
[tex]\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}[/tex]
[tex]\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}[/tex]
Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.
Since, BD > BC > CD
Therefore, Opposite angles of these sides will be in the same ratio.
∠C > ∠D > ∠B
Largest angle of the triangle is angle C.
Which is a better deal on a $345 item: 40% off original price or 30% off and additional 15% at the register?
Answer:
345 - 40% = 207$
Step-by-step explanation:
(345 - 30%) - 15% = 205.3 (Better deal)
Answer:
30% off and additional 15% at the register
Step-by-step explanation:
Deal 1
$345 × 40% = $138
$345 - $138 = $207
Deal 2
$205.30
o The day before the exam, Rebecca does a practice run. She attempts 20 glass vases and breaks 3 of them. What is her success rate, shown as a decimal?
Answer:
If the goal is to break the vases: 3/20 = 15.0% or 0.15
If the goal is to not break the vases: 17/20 = 85.0% or 0.85
In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of ther- mal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.
Ğ¢ÑÑеп ni xi si
Graded 42 0.486 0.187
No-fines Ñ 42 0.359 0.158
Assume that the conductivity for each sample of concrete is independent of that of all the others. Our interest is in determining if the mean conductivity for the graded concrete is significantly different than the mean conductivity for the no-fines concrete?
Required:
a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.
Step-by-step explanation:
Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.
Type ni xi si
Graded 42 0.486 0.187
No-fines 42 0.359 0.158
To find - a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.
Proof -
a.)
Hypothesis testing problem :
H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.
H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.
b)
Test statistic :
[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]
[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]
[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]
[tex]Z = \frac{0.127 }{0.0377}[/tex]
⇒Z(cal) = 3.3687
Z(tab) = 1.96
As Z (cal) > Z(tab)
So, we reject H0 at 5% Level of significance
p-value = 0.99962
Hence
There is significant difference in mean conductivity at the two materials.
At the pet fair, Darlene’s dog
weighed 5 times as many pounds
as Leah’s dog. Together, the dogs
weighed 60 pounds.
How many pounds does Leah’s
dog weigh?
Answer:
Darlene's dog weighs 10 pounds.
Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.
Hope this helps.
pls help will give brainliest and only put 1 variable in it ty
Answer:
(2/3)r=30
r=45cm
Step-by-step explanation:
When trying to find a fraction of something, multiply to get your answer:
(2/3) of r = (2/3)r
The blue ribbon can be represented by both 30cm and (2/3)r cm:
(2/3)r=30
2r=90
r=45cm
Translate this sentence into an equation.
54 is the sum of 15 and Jenny's age.
Use the variable j to represent Jenny's age.
Answer:
54= 15 + J
Step-by-step explanation:
j= 39
Missing length..Area 90mm to the second power with base at 10mm. What is the millimeters
Answer:
5
Step-by-step explanation: