Answer:
x = 193
Step-by-step explanation:
distribute 13 into (x - 15)
=> 12x - 2 = 13x - 195
subtract 12x on both side
=> -2 = x - 195
add 195 on both side
=> x = 193
An in-ground pond has the shape of a rectangular prism. The pond has a depth of 24 inches and a volume of 72,000 cubic inches. The length
the pond is two times its width.
Find the length and width of the pond to the nearest tenth.
Answer:
Should be
Width: 38.7
Length: 77.5
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Which number is a multiple of 7? A 27 B 48 C 56 ET D 74
Answer:
C. 56
Step-by-step explanation:
7*8=56
2. (MCC 6.5) Find the value of x. 77° (6x17)°
Answer:
x = 17
Step-by-step explanation:
77° + (6x + 1)° = 180° (angels on a straight line)
Solve for x
77 + 6x + 1 = 180
Add like terms
6x + 78 = 180
6x + 78 - 78 = 180 - 78
6x = 102
6x/6 = 102/6
x = 17
help me please!!!!
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π.
A. 7 m
B. 14 m
C. 24.5 m
D. 49
Answer:
= p× r²
= 3,14×7×7
= 21,98×7
= 153,86
[tex]153.86 \div 3.14 = 7[/tex]
If ∠1 and ∠2 are vertical angles and m∠2 = 108°, find m∠1.
Answer:
angle 1 = 108°
Step-by-step explanation:
because angle 1 and angle 2 are vertical angles and vertical angles are equal.
PLEASE HELP I WILL MARK
BRIANLIST Caitlin has $24 to spend. She spent $8.50, including tax, to buy a book. She needs to save $6.25, but she wants to buy some candy. If each piece of candy costs $0.25 including tax, what inequality would show the maximum number of pieces Caitlin can buy? Let x represent the cost of one piece of candy.
Solve your inequality by showing your work and steps.
Answer: 37 pieces of candy
Step-by-step explanation:
24-8.50 is 15.50 she wants to save 6.25, so, 15.50-6.25 is 9.25. 9.25 divided by the cost of each candy (0.25) is 37
the distributive law requires
Answer:
The Distributive Law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
Step-by-step explanation:
Example: "3" can be "distributed" across the "2+4" into 3 times 2 and 3 times 4.
AP Statistics Quiz 10.2
1.
Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first
responders (specifically emergency medical technicians, EMTs). Independent random samples from each
of these two professions were selected and their salaries were recorded. The data are summarized below.
a) the distribution of salary in each group is skewed right. The use of two-sample t procedures is still justified why?
b) construct and interpret a 99% confidence interval for the difference in the true mean salaries for politicians and EMTs
Answer:
Hello some data related to your question is missing attached below is the missing data
a) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures. since ( to > critical value )
b) ( 3.819 , 8.5226 )
Step-by-step explanation:
Applying the Given data:
The test hypothesis :
H0 : μ1 = μ2
Ha : μ1 > 2
A) since ( to > critical value ) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures
B ) construct and interpret
next calculate the SP value
[tex]S^{2} _{p}[/tex] = [tex]\frac{( n1 - 1 )S^{2} _{1} + ( n_{2}- 1 )S^{2} _{2} }{n1 + n2 - 2}[/tex]
where: S1 = 7524 , n1 = 50 , n2 = 100 , S2 = 5551 ( input values into equation above )
∴ [tex]S^{2} _{p}[/tex] = 39354491.3716
hence : [tex]S_{p}[/tex] = 6273.32
next calculate the value of test statistic
to = ( X1 - X2 - Δo ) / Sp [tex]\sqrt{\frac{1}{n1} + \frac{1}{n2} }[/tex]
where: X1 = 61234 , X2 = 54529 , Sp = 6273.32 , n1 = 50 , n2 = 100 ( input values into equation above )
to = 6705 / 1086.5702 = 6.1708
Df ( degree of freedom ) = n1 + n2 - 2 = 148
critical value at ∝ = 0.01 = ± 2.3518 ( using excel function : T.INV(0.01,148) )
hence the confidence Interval
= ( 6.1708 ± 2.3518 )
= ( 3.819 , 8.5226 )
For the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first responders (specifically emergency medical technicians, EMTs).
Independent random samples from each of these two professions were selected and their salaries were recorded. The data are summarized below.
Politicians EMT's
Mean $61,234 $54,529
Standard deviation $7524 $5551
n 50 100
a) The distribution of salary in each group is skewed right. The use of two-sample t procedures is still justified-The hypothesis for the test,
[tex]H_0:\mu_1=\mu_2\\H_a:\mu_1 > 2[/tex]
No it is not justifies, as the null hypothesis is rejected.
b) construct and interpret a 99% confidence interval for the difference in the true mean salaries for politicians and EMTsThe pooled estimate of a common population standard deviation can be given as,
[tex]S_p=\sqrt{\dfrac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}}[/tex]
Put the values in the above formula from the table, we get,
[tex]S_p=\sqrt{\dfrac{(50-1)(7524)^2+(100-1)(5551)^2}{50+100-2}}\\S_p=6273.32[/tex]
Use the formula of test statistics for equal variance as,
[tex]t=\dfrac{\overline y_1-\overline y_2-0}{s_p\sqrt{\dfrac{1}{n_1}+\dfrac{1}{n_2}}}[/tex]
Put the values from the table as,
[tex]t=\dfrac{61234-54529-0}{(6263.32)\sqrt{\dfrac{1}{50}+\dfrac{1}{100}}}\\t=6.1708[/tex]
The degree of freedom can be given as,
[tex]DF=100+50-2\\DF=148[/tex]
The critical value for 99 percent interval (0.01) is ±2.3518.
Hence, the confidence interval for this two values is (6.1708, ±2.3518).
Thus, for the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).
Learn more about the random sample here;
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3|2z-4|-6>12
Solve for z
Answer:
312z-41-6>12
subtract -41-6
312z-47>12
add it on both sides
312z-47>12
+47 +47
312z>59
divide 312 to both sides
z<0.189
Answer:
can someone help me pls i dont know 2x=4=
Step-by-step explanation:
Which is a function?
O {(-3,5), (1,4), (3,7), (1,7), (4,9)}
O {(7.9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1), (-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)
50000000000000000000000000000000000000000000
Answer:
{(7.9), (13,-2), (8,4), (7,0), (4,12)} is a function
Step-by-step explanation:
Preston has spent 7hrs of the required 13hrs he needs for ALEKS. What percentage of time does he have left?
Answer:
he has 46.1538462% left
Step-by-step explanation:
7/13 = 0.538461538
1 - 0.538461538 = 0.461538462
Which shape is the base of the pyramid shown below?
A triangle
B square
Answer:
B. it's a square pyramid so the base is a square.
Step-by-step explanation:
Can somebody plz help?
Answer:
x = 42
Step-by-step explanation:
Let the length of the indicated side be represented as "x".
The Theorem of proportionality can be extended and applied to find the indicated side.
Thus, based on the theorem, it is assumed that the parallel lines divides the transversals proportionally.
This implies that:
x/(77 - x) = 30/25
x/(77 - x) = 6/5
Cross multiply
x(5) = 6(77 - x)
5x = 462 - 6x
Add 6x to both sides
5x + 6x = 462
11x = 462
x = 462/11
x = 42
Lincoln is seeking a loan with a simple interest rate of 8% per year. If he wants to borrow $5000, then how much will he be charged in interest for 24 months? $8,000 $9,600 $1,250 $800
Answer:
Lincoln will be charged $9,600.
Step-by-step explanation:
To find the answer we will first turn 8% into a decimal. 8 ÷ 100 = 0.08. Now multiply 0.08 by $5,000 and we get $400. then multiply $400 by 24 and we get $9,600. Therefore, $9,600 is our answer.
Wanda drove 392 miles in 14 hours. What is her unit rate of miles per hour?
Lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
Answer:
hammood habbi knows
Step-by-step explanation:
32 or 16
peggy drives for 3 hours at an average speed of 61 miles per hour. Then when she crosses over into the next state she is able to drive the next 2.5 hours at an average speed of 72 miles per hour.
what was her average speed for the entire trip?
Answer:
65 miles per hour
Solve the system of equations and choose the correct answer from the list of options. d + e = 15 −d + e = −5 Label the ordered pair as (d, e). (4 points) Question 3 options: 1) (0, 0) 2) (10, −5) 3) (5, 10) 4) (10, 5)
Answer:
3) (5, 10)
Step-by-step explanation:
d + e = 15
-d + e = -5
e = -5 + d
substitude e for -5 + d
d + -5 + d = 15
2d = 10
d = 5
figure out e
5 + e = 15
e = 10
How to write -x^2+12-8x=-3 in standard form
Answer:
-x^2-8x+15=0
Please mark as brainliest
Answer:
give me a min if you can
Step-by-step explanation:
PLS HELP DUE SOON SHOW YOUR WORK!
9514 1404 393
Answer:
615.8 square feet9 truckloadsStep-by-step explanation:
The area of the circular ring is given by the formula ...
A = πr²
where r is the radius, or half the diameter.
A = π(14 ft)² = 196π ft² ≈ 615.752 ft²
The area of the training area is about 615.8 square feet.
__
The number of truckloads of dirt required for coverage will be ...
(615.8 ft²)/(75 ft²/truckload) ≈ 8.21 truckloads
Since the dirt comes only in whole truckloads, Hilary needs 9 truckloads.
ILS.
Carnival visitors
50
70
90
110
130
150
What fraction of the days did the carnival have 70 or fewer visitors?
Submit
Answer:
its 1/4 :)
Step-by-step explanation:
After observing the number of visitors, the fraction of the days that the carnival has 70 or fewer visitors is 1/3.
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction.
It can be written in the form of p:q, which is equivalent to p / q.
Given that,
There are 2 days with 70 or fewer visitors.
To find the required fraction,
Determine how many days out of the given total had 70 or fewer visitors.
Since there are 2 days with 70 or fewer visitors,
To calculate the fraction,
Divide the number of days with 70 or fewer visitors (2) by the total number of days (6).
So, the fraction is 2/6.
Simplifying this fraction yields 1/3.
Hence, the required fraction is 1/3.
To learn more about the fraction visit:
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If you wanted to put a fence around your garden, would you find the perimeter or the area of the garden??
Answer:
U would find the perimeter.
Step-by-step explanation:
Which statement is true
Answer:
D
Step-by-step explanation:
hey man. trust me. quack
Answer:
i think that the answer might be d
How does the graph of g(x) = 10x – 8 compare to the graph of f(x) = 10x?
The graphs are the same.
The graphs are translated upward 8 units.
The graphs are translated downward 8 units.
The graphs shift to the left 8 units.
Answer:
Translated down 8 units or C
Step-by-step explanation:
Someone please help me answer this!!
Answer:
10
Step-by-step explanation:
For this you can use the pythagorean theorem such as (a^2 + b^2) = c^2 so the answer will be ten
40 pts please help! picture below!
Answer:
B. 135
Step-by-step explanation:
CB is 45
AB= half of circle or 180*
So, 180-45=135
Therefore, the answer is 135* or b
hope this helps
Answer:
135 degrees
Step-by-step explanation:
Since the angle is measured from the center, the arc is the same as the angle measurement.
ACB = 180
AC + CB = 180
AC + 45 = 180
AC = 180-45 = 135
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?
Answer:
The domain is [tex]D_C = [0,\infty)[/tex]
The range is: [tex]R_C = [20,\infty)[/tex]
Step-by-step explanation:
Domain and range of a function:
The domain of a function are the values that the input assumes, while the range are the values that the output assumes.
In this question:
[tex]C(m) = 0.05m + 20[/tex]
m is the input, which is the number of phone calls, which can be any number between 0 and infinite. So
The domain is [tex]D_C = [0,\infty)[/tex]
When the input is m = 0, the value of C(0) = 20. As m increases, so does C(m). This means that:
The range is: [tex]R_C = [20,\infty)[/tex]
Answer:
Option 1 because
domain: m is Greater than or equal to zero
range: C is greater than or equal to twenty
Step-by-step explanation:
The (C) cost of the bill is always going to start at twenty and be higher depending on how many (m) minutes were used.
Edg2021
A plane is flying at an altitude of 300 meters on a heading
towards both a maintenance hangar and the main runway.
The pilot sights the end of the main runway at
an angle of depression of 15°. She then sights the
maintenance hangar at an angle of depression
of 32°. What is the distance between the end of
the main runway and the maintenance hangar?
Eli gave out a survey to some students in his school about their favorite color. 880 of those surveyed said their favorite color was red. If 88% of the students surveyed said their favorite color was red, how many students were surveyed in total?
Answer:
The answer is 1000.
Step-by-step explanation:
What is the median of the data represented by the box plot?
enter your answer in the box
Answer:
[tex]Median= 20[/tex]
Step-by-step explanation:
Given
The attached box plot
Required
The median
The median is represented by the vertical line inside the rectangle on the box plot.
Using the description above to read the median from the given box plot.
[tex]Median = 20[/tex]
It is also the same as the second quartile