Answer:
105 R 6
Step-by-step explanation:
741 ÷ 7 = 105 R 6
105 × 7 = 735
741 - 735 = 6
Therefore,
105 R 6 is correct.
Hope this helps! :)
PLEASE HELP ASAP!!! A toy store has 10 stores all about the same size in a city the graph shows sales for one of the stores last month. Which statement is best supported by the information in the graph?
Answer:
The first one
Step-by-step explanation:
Took the test
Answer: 1/10 of the store's total sales last month were in appliances (lower right corner)
Step-by-step explanation:
Let's go through the four possible answers
In the upper left corner it says "Total mobile phone sales is likely 27,000" which is a paraphrase of what is given. The chart gives 9000 as the phone sales for that one particular store. If all stores are identical in performance, then we have 4*9000 = 36000 in total mobile phone sales. Of course, it's impossible to know for sure how the other stores did. So we can eliminate this as one of the answers.
In the upper right corner, it says "13% of the stores sales was in car electronics" (also paraphrased). We have 13 thousand in car electronics out of 17+13+6+9+15 = 60 thousand total. Divide the two values: 13/60 = 0.2167 = 21.67% approximately. So we can eliminate this as an answer.
In the lower left corner, it says "the total sales is likely greater than $300,000" but we don't know for sure because again we don't have the other charts for the three other stores. Assuming the four stores perform the same, then we'd have 4*60 = 240 thousand as the total and not 300 thousand. It's safe to say we can eliminate this as an answer.
In the lower right corner, it says "1/10 of the stores sales were appliances". This statement is true. Why? Because 6 thousand is the sales figure for appliances out of 60 thousand total. Divide the values: 6/60 = 1/10. So this is why the lower right corner is the answer.
I NEED HELP PLEASE THANKS!
An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18° relative to the horizontal. The wind is blowing with a velocity of 42 miles per hour at an angle of S47°E. Find a vector that represents the resultant velocity of the plane relative to the point of takeoff. Let i point east, j point north, and k point up.
(Show work)
Answer:
30.7i + 135.9j + 53.4k
Step-by-step explanation:
The ' horizontal ' may act as the x - axis in this case, the airplane taking off at an angle of 173 cos 18 respective to this x - axis. Respectively it travels restricted to an angle of 173 sin 18 from the y - axis. The following shows this angle at vector( s ) j and k relative to the air -
j - ( 173 cos 18 ),
k - ( 173 sin 18 )
Thus, one can assume such -
[tex]0i + ( 173 cos 18 )j + ( 173 sin 18 )k[/tex]
Knowing that, this second bit here should be similar to the first bit above, given that the wind is now blowing with a velocity of 42 miles per hour at an angle of 47 degrees. Therefore, j = 42 cos 47, i = 42 sin 47 -
[tex]( 42 sin 47 )i + ( 42 cos 47 )j + 0k[/tex]
Adding the two we should get the following -
[tex]30.7i +135.9j + 53.4k[/tex]
Answer:
30.72i+ 135.89j +53.46k
Step-by-step explanation:
If we measure angle φ up from the horizontal and angle θ CCW from east, the direction vector of the airplane at take-off is ...
(ρ, θ, φ) = (173 mph, 90°, 18°)
The rectangular expression of this vector will be ...
(ρ·cos(θ)·cos(φ), ρ·sin(θ)·cos(φ), ρ·sin(φ)) = (0, 164.53, 53.46) . . . mph
__
The wind vector is ...
(ρ, θ, φ) = (42, -43°, 0°) ⇒ (30.72, -28.64, 0) . . . mph
And the rectangular coordinate sum of these vectors is ...
(0, 164.53, 53.46) +(30.72, -28.64, 0) = (30.72, 135.89, 53.46)
The resultant velocity vector of the airplane is ...
30.72i+ 135.89j +53.46k
Solve and check: 3 x2 + 5x + 6 + x − 1 x + 2 = 7 x + 3
Answer:
3[tex]x^{2}[/tex] -2x +5=0
Step-by-step explanation:
Combine liked terms:
3[tex]x^{2}[/tex]+5x+x-1x+6+2=7x+3
3[tex]x^{2}[/tex]+6x-1x+8=7x+3
3[tex]x^{2}[/tex]+5x+8=7x+3
Subtract 3: 3[tex]x^{2}[/tex]+5x+8-3=7x+3-3
3[tex]x^{2}[/tex]+5x+5=7x
Now subtract 7x:
3[tex]x^{2}[/tex]+5x+5-7x=7x-7x
If you want combine liked terms:
3[tex]x^{2}[/tex]-7x+5x+5=0
3[tex]x^{2}[/tex]-2x+5=0
Hope this helps!
Mary Jo spends $2,690 to buy stock in two companies. She pays $24 a share to one of the companies and $25 a share to the other. If she ends up with a total of 110 shares, how many shares did she buy at $24 a share and how many did she buy at $25 a share?
Answer:
60 of 24 dollars each and 50 of 25 dollars
Step-by-step explanation:
x= 24 dollars
110 shares, total x at 24 dollars each
110-x at 25 dollars each
24x+25 (110-x)=2690
24x+ 2750 - 25x= 2690
-1x= -60
x= 60
24 multiplied by 60 =1440
2690-1440 =1250
1250 / 25 = 50
can u vote me as brainliest ?
If a sample of size 41 is selected, the value of A for the probability P(-A ≤ t ≤ A) = 0.90 is:
Answer: 1.684
Step-by-step explanation:
since sample size (n) is 41
confidence level = 0.90 = 90%
df = n - 1
df = 41 - 1
df = 40
that is For Degrees of Freedom = 40
significance level α = 1 - (confidence level / 100)
Significance Level α = 1 - (90/100 ) = 0.10
using the z-score
critical values of t = 1.684
A graph has been attached to further assist.
What is this expression in simplified form?
3^3 x 6^6
Answer:
i think its 1259712.
Step-by-step explanation:
when we find3^3 and 6^6 we get, 27×46656
and by multiplying them we get, 1259712...
is answer
Answer:
1,259,712
Step-by-step explanation:
Follow the order of operations, evaluating exponents first:
3^3 × 6^6 = 27 × 46,656 = 1,259,712
_____
When in doubt, the Google calculator can be relied upon to follow the order of operations. (Use an asterisk (*) for multiplication.)
The correlation matrix obtained for the variables bp (y) (blood pressure), age (x1) (age), smk (x2) (smoke) and WET(X3) (Weight), is given by:
BP AGE SMK WET
BP 1 0.64 0.72 0.48
AGE 1 0.32 0.78
SMK 1 0.40
WET 1
Based on this matrix please calculate the partial correlation.
a. 0.53
b. 0.48
c. 0.62
d. 0.32
Answer:
c) 0.62
Step-by-step explanation:
In this case, we are required to find the partial correlation, [tex] r_Y_X_1_|_X_2[/tex].
To find the partial correlation, use the formula:
[tex] r_Y_X_1_|_X_2 = \frac{r_Y_X_1 - r_Y_X_2 * r_X_1_X_2}{\sqrt{1 - r_X_1_X_2}^2 - \sqrt{1 - r_Y_X_2}^2} [/tex]
[tex] r_Y_X_1_|_X_2 = \frac{0.64 - 0.72 * 0.32}{\sqrt{1 - 0.32}^2 - \sqrt{1 - 0.72}^2} [/tex]
[tex] = \frac{0.410}{0.657}[/tex]
[tex] r_Y_X_1_|_X_2 = 0.62 [/tex]
The partial correlation is 0.62.
Option C
Pls help with this volume wiestion
Answer:
15833.6269741 cm^3.But we can make it 15,833.63 cm^3 rounded to the nearest hundredth.
Step-by-step explanation:
so let’s solve this using the following formula -> [tex]V=\pi r^2h[/tex].
So if the height is 25 and the radius is 12 them we can plug those numbers into the formula.
[tex]\pi (12)^2(35)[/tex].
So let’s start by doing 12 squared which is 144 then 144*35 which is 5040.
And now 5040*pi which is 15833.6269741 cm^3.But we can make it 15,833.63 cm^3 rounded to the nearest hundredth.
Id you ant to check if my answer is correct look at the image below.
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.05 for the estimation of a population proportion
Answer:
A sample of 385 is needed.
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample:
We need a sample of n.
n is found when M = 0.05.
We dont know the true proportion, so we work with the worst case scenario, which is [tex]\pi = 0.5[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.05}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96*0.5}{0.05})^{2}[/tex]
[tex]n = 384.16[/tex]
Rounding up
A sample of 385 is needed.
If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation?
Answer:
A
Step-by-step explanation:
First, we can change the equation into y = mx + b form:
y - 3x = -14
y = 3x - 14
Now, we can just replace y with g(x):
g(x) = 3x - 14
The equinoxGroup of answer choicesis when the subsolar point is at one of the tropics.is the longest day of the year at any given place.has 12 hours of day and 12 hours of night for all locations.occurs four times during the year.
Answer:
c. has 12 hours of day and 12 hours of night for all locations
Step-by-step explanation:
The equinox is the time of the year marked by a nearly equal length of day and night. This word has a Latin root meaning which stands for equality, hence the word 'equinox'. It usually falls on March 21, and September 23 of every year. On these days the sun is above the equator.
The equinox which occurs around September happens in the Northern Hemisphere and is also known as the Fall or Autumnal equinox. Whereas, the equinox which occurs at the Southern Hemisphere is also known as the Spring or Vernal equinox. During an equinox, the tilt of the earth is perpendicular to the sun.
Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely.
Answer:
Step-by-step explanation:
From the given information; Let's assume that R should represent the set of all possible outcomes generated from a bit string of length 10 .
So; as each place is fitted with either 0 or 1
[tex]\mathbf{|R|= 2^{10}}[/tex]
Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0
Now;
if a 0 bit and a 1 bit are equally likely
The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;
[tex]\mathbf{P(E) = \dfrac{|E|}{|R|}}[/tex]
so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:
[tex]\mathbf{{|E|}=1 }[/tex] ; [tex]\mathbf{|R|= 2^{10}}[/tex]
[tex]\mathbf{P(E) = \dfrac{1}{2^{10}}}[/tex]
You just purchased two coins at a price of $1,030 each. Because one of the coins is more collectible, you believe that its value will increase at a rate of 7.7 percent per year, while you believe the second coin will only increase at 7.1 percent per year. If you are correct, how much more will the first coin be worth in 20 years
Answer:4541(Rounded) 4541.99779(Unrounded)
Step-by-step explanation:
A= P(1 + r)^T
A= answer
P=principle(amount of money)
r=Rate(percent / 100)
T=Time(Annually)
1030(1 + .077)^20
Brainliest would be appericiated!
factor the polynomial -5x^3-10x^2-15x
Answer:
-5x(x^2 + 2x + 3)
Explanation:
-5x is the highest common factor of all terms in the polynomial
-5x^3 - 10x^2 - 15x = -5x(x^2 + 2x + 3)
HELP ASAP/ WILL MARK BRAINLYIEST If f(x) = 3x + 2, what is f(5)?
the number of locally owned businesses in our town seems to be decreasing at a rate of 35 per year. If there are 860 locally owned businesses today, what number can we expect to have in 5 years?
Answer:
685
Step-by-step explanation:
today: 860
in 1 year: 860 - 35 = 825
in 2 years: 825 - 35 = 790
in 3 years: 790 - 35 = 755
in 4 years: 755 - 35 = 720
in 5 years: 720 - 35 = 685
out of 200 houses in a neighborhood, 30 of them have their own lawn service. what percent of the houses do not have their own lawn service?
Answer:
85%
Step-by-step explanation:
If 30 of them have their own lawn service then that means 170 of them do not have their own lawn service.
Seeing as there are 200 houses in total, the fraction of people who don't have lawn service is 170/200. This is equal to 0.85 or 85%.
Answer:
Step-by-step explanation:
the houses do not have their own lawn service:
200-30=170
percentage=170/200=0.85 0r 85%
No one is helping me :( Can someone please give me a hand? :(
Which statement best describes the graph of x^3 – 3x^2
- X + 3?
A.It starts down on the left and goes up on the right
and intersects the x-axis at x = -1, 2, and 3.
B.It starts down on the left and goes up on the right
and intersects the x-axis at x = -1, 1, and 3.
C.It starts up on the left and goes down on the right
and intersects the x-axis at x = -1, 2, and 3.
D.It starts up on the left and goes down on the right
and intersects the x-axis at x = -1, 1, and 3.
Which equation represents a population of 250 animals that decrease at the annual rate of 12%
Answer:
P = 250(1 - 0.12)^t
Step-by-step explanation:
Since it is a decrease in population, we have 1 minus the rate. Since we start out with 250, we have 250 times 1 minus the rate. Since we are dealing with annual loss, we get 250(1 - 0.12)^t.
250 - starting population
1 - rate (0.12) - decreasing rate
t - time elapsed
Answer: p = 250(0.88)^t
Precalculus Help Needed!
Answer:
It approaches 1
Step-by-step explanation:
f(x)=1
HELP PLS -- A square is rotated around the y-axis of coordinate plane. Which of the following three-dimensional figures is formed? a. cilinder b.circle c.sphere d. cube
Answer:
The Answer is A. a cylinder
The square must be on the y axis in some way, and the square must be oriented such that its sides are parallel to the x and y axis. Rotating said square around the y axis will form a cylinder. Think of a revolving door. The door is the square while it sweeps out a 3D cylinder shape/space as it rotates around. Another example would be a fan or turbine that rotates in a similar fashion.
if there are about 3.346x10^26 molecules of water in a liter of water and the ocean is about 1.26x10^21 liters in volume, how many water molecules are there in the ocean?
Answer: 4.21596 x 10⁴⁷
Step-by-step explanation:
(3.346 x 10²⁶) (1.26 x 10²¹)
= (3.346 x 1.26) x 10²⁶⁺²¹
= 4.21596 x 10⁴⁷
18. You are standing beside the Colorado River, 400 feet
from the base of Hoover Dam. Using an electronic distance
measuring device, you find the distance to the top of the dam
to be 965 feet. Use the diagram at the right to find the height
of the dam.
965ft
a.
561.6 ft
b. 781.6 ft
c. 566 ft
400 ft
166 ft
=======================================================
Work Shown:
The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965
Use the pythagorean theorem
a^2+b^2 = c^2
566^2+x^2 = 965^2
x^2 = 965^2 - 566^2
x = sqrt( 965^2 - 566^2 )
x = 781.58108984289 which is approximate
x = 781.6 feet when rounding to one decimal place
The width of a rectangle is 6 less than the length. Let L represent the length of the rectangle. Write an expression for the width of the rectangle.
Answer:
W+6 = Y.
Or
Y -6 = W
Step-by-step explanation:
Let's call the length of the rectangle L.
And let W represent the width of the rectangle.
Let's write an expression to determine the width of the rectangle relative to the length of the rectangle.
From the question, the width W is 6 less than the length L of the rectangle.
It means the length is greater than the width with 6 units.
The expression is
W+6 = Y.
Or
Y -6 = W
g The p-value of a test is the probability of obtaining a result as or more extreme as the one obtained in the sample, assuming the null hypothesis is false
Answer:
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
Step-by-step explanation:
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
We reject the null hypothesis if the p-value of a statistic is lower than the level of significance α.
And we fail to eject the null hypothesis if the p-value of a statistic is greater than the level of significance α.
A lower p-value indicates that the result is statistically significant.
And a higher p-value indicates that the result is not statistically significant.
can someone help me asap pls?
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Trigonometry.
so here, we gonna use the cosine ratios.
so here, we also use the Pythagoras Theorem.
[tex] {h}^{2} + {k}^{2} = {r}^{2} [/tex]
so we here, we get
h= 1 ,
[tex]h = 1 \: r = 2 \: k = \sqrt{3} \: \\ \alpha = 60 \: \beta = 30[/tex]
Solve the equation. dx/dt =3/xet +9x An implicit solution in the form F(t.x)C, where C is an arbitrary constant.
Answer:
[tex]\text{The implicit solution:} \frac{1}{81} e^{9x}(9x - 1) + \frac{3}{e^t} = C[/tex]
Step-by-step explanation:
It is given that there is arbitrary constant C and we have to find the implicit solution. Therefore, first separate the variable that is given in equation and then use integration to find the implicit solution. Here, below is the calculation.
The given equation is:
[tex]\frac{dx}{dt} = \frac{3}{xe^{t-9x}}[/tex]
Now, if we use separation of variable.
[tex]\frac{dx}{dt} = \frac{3}{xe^{t-9x}} \\\frac{dx}{dt} = \frac{3}{xe^{9x}e^{t}} \\xe^{9x}dx = \frac{3}{e^{t}}dt \\[/tex]
Now integrate both side:
[tex]\int xe^{9x} dx = \int \frac{3}{e^{t}} dt \\\frac{e^{9x}}{9}(x) - \int \left [ \frac{e^{9x}}{9} \right]dx = -3e^{-t} + C \\[/tex]
[tex]\frac{xe^{9x}}{9} - \frac{e^{9x}}{81} = -3e^{-t} + C \\\frac{1}{81} e^{9x}(9x - 1) + \frac{3}{e^t} = C \\[/tex]
Thus, the implicit solution is:
[tex]\frac{1}{81} e^{9x}(9x - 1) + \frac{3}{e^t} = C[/tex]
Solve for y: |6y - 3| + 8 = 35 Select one: a. y = -5 b. y = 5 or y = -4 c. =5=−203 y = 5 o r y = − 20 3 d. y = 5
Answer:
y=5 or y=-4
Step-by-step explanation:
6y - 3| + 8 = 35
|6y-3|=35-8
|6y-3|=27
either 6y-3=-27 then 6y=27+3
y=30/6=5
or 6y-3=-27
6y=-27+3
y=-24/6
y=-4
You wish to accumulate $14,580 in 6 years. Payments are made at the end of every six-month period into an account earning 7.2% compounded semi-annually. Find the required payment amount to accomplish your goal.
A statistics professor drew a random sample of 81 observations and found that x with bar on top equals 62 s equals 15. Estimate the LCL of the population mean with 90% confidence. Report your answer to two decimal places.
Answer:
LCL = 59.26 to two decimal places
Step-by-step explanation:
Here, we want to estimate the LCL of the population mean with 90% confidence
We proceed as follows;
Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15
Mathematically;
LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81
LCL = 62- (24.675)/9 = 59.2583
LCL = 59.26 to two decimal places