Answer:
volume = 7/8 cubic units
Step-by-step explanation:
[tex]volume = base \ area \times height = \frac{1}{2} \times \frac {7}{4} = \frac{7}{8} units^3[/tex]
Give the exact value of the trigonometric function below:
sin (45)
firstable its not 45
its sin(-240)=sin(60)
sin(60)=√3/2
sin45=√2/2
(1.2 x 10^4)+(2.5 x 10^3)
Help me please I am not sure about the answer
Answer:
(a)
[tex] {x}^{2} + 2x \\ = x(x + 2)[/tex]
(b)
[tex]2 {x}^{2} - 6x \\ = 2x(x - 3)[/tex]
(c)
[tex]15x - 10 {x}^{3} \\ = 5x(3 - 2 {x}^{2} )[/tex]
(d)
[tex]9 {x}^{2} + 3 {x}^{3} \\ 3 {x}^{2} (3 + x)[/tex]
PLEASE TELL ME THE VALUE
Answer:
Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each
there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each
the total value off all of these together is $2.68
Move the values to the boxes to complete the inequality statement.
5<____<7<____<9____<11
Helppp
Answers:
first blank = not sure (see explanation below)second blank = 3*sqrt(6)third blank = 3pi============================================================
Explanation:
Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.
We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9
Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11
As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 73%. You would like to be 95% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required
Answer:
A sample size of 474 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Based on previous evidence, you believe the population proportion is approximately 73%.
This means that [tex]\pi = 0.73[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.73*0.27}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.73*0.27}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.73*0.27}}{0.04})^2[/tex]
[tex]n = 473.24[/tex]
Rounding up:
A sample size of 474 is required.
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answer:
16 years
Step-by-step explanation:
Given data
Principal= $8500
Rate= 4.5%
Final amount= $17,323
The expression to find time in compound interest is given as
t= ln(A/P)/r
substitute
t= ln(17323/8500)/0.045
t= ln(2.038)/0.045
t=0.711/0.045
t= 15.8 years
Hence the total time is about 16 years
For the following set of data, find the population standard deviation, to
the nearest thousandth.
45, 30, 35, 20, 21, 46, 16, 37
=====================================================
Explanation:
Before we can find the standard deviation, we need to find the sample mean which is xbar.
Xbar is found by adding up the values and dividing by n = 8 since there are 8 values in this data set
xbar = (sum of values)/n
xbar = (45+30+35+20+21+46+16+37)/8
xbar = 31.25
Refer to the spreadsheet table below in the attached image. The first column is the column of x values, which is the data set given to us. The next column over is the expression x-xbar, which will have us subtract xbar from each data value.
Example: x-xbar = 30-31.25 = -1.25 in row 2
From there, we square everything in that second column to form the third column. Adding everything in that third column results in the yellow highlighted value 919.5
---------------
The next step is to divide that over n = 8 to get 919.5/n = 919.5/8 = 114.9375
This is the population variance. Apply the square root to get the population standard deviation
sqrt(variance) = sqrt(114.9375) = 10.7208908
which is approximate. This rounds to 10.721
---------------
Note: if you wanted the sample standard deviation, then you'd divide by n-1 = 8-1 = 7. However, the other steps mentioned are identical.
i need help ive been stuck on these questions
1.
a. Find the lengths of the unlabeled sides.
Answer:
The first one-6.324 (This number actually goes on forever), The second one-10
Step-by-step explanation:
1- (6*6)+(2*2), 36+4, 40, 40 unsquared=6.324
2- (8*8)+(6*6), 64+36, 100, 100 unsquared=10
HELP ASAP
I NEED HELP
Answer:
1;27
Step-by-step explanation:
write an equivalent expression: −12(−2x+4y)
Answer:
24x-48y
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
−12(−2x+4y) = 24x - 48y
______
Which is a chord of circle P?
Answer:
QR
Step-by-step explanation:
A chord is a line that joins two points on the outside of the circle
QR and KL are chords
NO LINKS PLS HELP MMEEE
Answer:
4. 84.82 6. 7238.23 5. 1415.81 7. 1570.8
Step-by-step explanation:
Answer:
4. 254.47ft^3
5. 4247.43yd^3
6. 21714.69 in^3
7. 4712.39 ft^3
hope this helps
have a good day :)
Step-by-step explanation:
QUICK GIVING BRAINLIEST TO CORRECT ANSWER
Answer:
Step-by-step explanation:
Top and bottom
Area = L*W
L = 4
W = 2
Area = 4 * 2 = 8
But there are two of them (2 * 8) 16
Left and right
Area = L * W
L = 3
W = 2
Area = 2 *3 = 6
But there are two of them 12
From back
L*W = 4*3
But there are two of them 24
Total 52
A class of 36 students is going on a field trip. They will take 4 buses. Each bus will have the same number of students. How many students will be on each bus?
Answer:
144
I hope that helped!
If you reject a joint null hypothesis using the F-test in a multiple hypothesis setting, then: A) a series of t-tests may or may not give you the same conclusion. B) the regression is always significant. C) all of the hypotheses are always simultaneously rejected. D) the F-statistic must be negative. Answer: A
Answer:
A) a series of t-tests may or may not give you the same conclusion
Step-by-step explanation:
F test is a statistical test, used for testing overall significance in a regression model. It denotes, how well - multiple explanatory (or independent) variables in a regression model effect the variation in dependent variable.
Rejecting a f test implies that - the set of multiple explanatory (or independent) variables 'jointly' effect the dependent variable significantly. However the individual independent variables might or might not effect dependent variable (independently) significantly.
So, the individual t tests might or might not give same conclusion.
A triangle has sides 12, 35, and 37. Identify whether the triangle is right, acute, or obtuse.
Answer:
Right triangle
Step-by-step explanation:
Using pythagorean theorem,
[tex]c^2 = a^2 + b^2\\37^2 = 12^2 + 35^2 \\1369 = 144 + 1225\\1369 = 1369[/tex]
Hence satisfied. So it is right triangle.
From your position at (0,0), you measure a vehicle at (8,5). The vehicle is driving an equal
amount both North and East away from you. After some time, you measure the vehicle's
position and notice that the angle the vehicle made with you has increased by 8 degrees. Let x
be the distance traveled away from you in both the North and the East direction. Solve for the
value of x.
a) X = 5.5
b) X = 10.6
c) X = 12
d) X = 7.6
Answer:
Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .
Step-by-step explanation:
i hope i help have a great day :))
The table represents data measuring the sound pressure level for noises with various sound pressures. If the sound pressure level is calculated based on the sound pressure, which regression equation models the data?
Answer: y=93.62logx + 19.81
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Area of the circle 42 m round nearest hundred
Answer:
Using the formula
A
=
π
r
2
Solving for
r
r
=
A
π
=
42
π
≈
3.65637
need help will give brainiest
Answer:
1. Triangles HIJ and KML
2. Triangles RST and YXZ
3. Reflexive property and Congruent Property
Step-by-step explanation:
Step-by-step explanation:
for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence
What number is shown on the number line
Answer:
Hey mate.....pls attach the pic..........
Evaluate the expression when x=7 and y=-3. x2+2y
Answer:
Step-by-step explanation:
x = 7, y = -3 2x + 2y
2 (7) + 2 (-3) = 14 - 6 = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{x^2 + 2y}}\\\large\boxed{\mathsf{= 7^2 + 2(-3)}}\\\large\boxed{\mathsf{= 7\times7 + 2(-3)}}\\\large\boxed{\mathsf{= 49 + 2(-3)}}\\\large\boxed{\mathsf{= 49 - 6}}\\\large\boxed{= 43}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\mathsf{43}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Jamie had some money in her wallet. She bought french fries for $1.40. She then bought a hamburger for $2.25. Now she has $0.35 left.
How much money did she have to start
Answer:
4 Dallas
Step-by-step explanation:
you add how much for the fries and the hamburger the add how much she add left then you will get the amount of money she start with
I need to know this question asap
Answer:
.
Step-by-step explanation:
Select the correct answer.
Which function is the inverse of function
f(x) = -2
Answer:
B
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )
7y = x + 2 ( subtract 2 from both sides )
7y - 2 = x
Change y back into terms of x with x the inverse function, that is
p(x) = 7x - 2
Which set of angle meausres would determine a triangle
Answer:
180 degrees
Step-by-step explanation:
mark wants to fence 4 rectangular gardens with a length of 9 1/4 amd a width of 4 1/2 what is the total length of fenceing mark needs to surround all four gardens
Step-by-step explanation:
length of each rectangle= 9 1/14=127/14
breadth of each rectangle=5=4 1/2= 9/2
so perimeter of 1 rectangle= 2(l+r)
=2(127/14+ 9/2)
=2(127+63)/14
=2×190/14
=190/7
=27.14 feet
so total length of fencing= 4×27.14
=108.57 feet
hope you understand the solution and good luck!!
Jim wants to buy an electric saw marked $98.00. If the salesperson offers him a discount of 15%, how much will he have to pay for the saw?
Answer:
$83.30
Step-by-step explanation:
Find how much he will have to pay by multiplying the price by 0.85, since this will calculate what 85% of the price is (with the 15% discount):
98(0.85)
= 83.3
So, he will have to pay $83.30 for the saw