Answer:
1
Step-by-step explanation:
cos²θ (1 + tan²θ)
Use Pythagorean identity:
cos²θ (sec²θ)
1
kiran scored 223 more points in a compouter game than tyler. if kiran scored 409 points, how many points did tyler score
Answer:
223=409−z
409=223+z
Step-by-step explanation:
Two similar biscuit tins hold the same type of biscuits. The net mass of biscuits in the smaller tin is 1 kg. Find the net mass of biscuits in the larger tin. Net mass of biscuits in larger tin = __?_ kg
Answer:
1.5 kg
Step-by-step explanation:
Assuming it scales linearly: the higher tin holds 9/6 as many biscuits, so:
9/6 · 1 kg = 1.5 kg
please help. Find the value of x
Answer:
x =24
Step-by-step explanation:
Call the angle in the lower right corner y
The outside angles add to 180 degrees for the large triangle
41+ 94+ y = 180
135 + y = 180
y = 180-136
y =45
The small triangle in the lower right also has angles that add to 180
y+ 111+x = 180
45+111+x = 180
156 + x = 180
x = 180-156
x =24
Answer:
x = 24
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
a + 111 = 180
180 - 111 = a
a = 69
Angles in a quadrilateral add up to 360 degrees.
69 + 41 + 94 + c = 360
204 + c = 360
c = 360 - 204
c = 156
Angles on a straight line add up to 180 degrees.
x + 156 = 180
x = 180 - 156
x = 24
The triangle ABC formed by AB = 13cm, BC=5cm and
AC = 12cm is
Answer:
Right-angle triangle
Step-by-step explanation:
The solution to -45= n/5 is
Answer:
n=5*-45
n=225
:)
Step-by-step explanation:
Answer:
n = -225
Step-by-step explanation:
-45 = n/5
cross multiply
n = -45 x 5
n= -225
Olivia is thinking of a number.She says, "My number is odd. It is a factor of 30 and a multiple of 3"
Answer:
15
Step-by-step explanation:
Factors of 30:
1 , 2, 3, 5, 6, 10, 15, 30
Multiples of 3:
3, 6, 9, 12, 15, etc.
The first number (and only number) shared by both sets is 15, therefore 15 is your answer.
~
Answer:
Your answer would be 15
Step-by-step explanation:
It would be 15 because you can multiply it by 30, it goes into 3 evenly and 15 is an odd number
A 1-inch rise for a 16-inch run makes it easier for the wheelchair rider to ascend a ramp. How long must a ramp be to easily accommodate a 24-inch rise to the door?
Answer: The ramp must be 32 feet long. In inches, 384.
Step-by-step explanation:
For each 16 inches of run, there is one inch of rise. To get 24 inches of rise, multiply 16 by 24 to get 384 inches. To convert to a more useful measurement, convert to feet. 12 inches per foot. 384/12 = 32
Measurement is the process of assigning numbers to physical quantities and phenomena.
If a 1-inch rise for a 16-inch run makes it easier for the wheelchair rider, this can be expressed as:
1inch rise = 16-inch run
In order to determine how long must a ramp be to easily accommodate a 24-inch rise to the door, we can write:
24in rise = x
Divide both expressions:
[tex]\dfrac{1}{24}=\dfrac{16}{x}\\[/tex]
Cross multiply:
[tex]x=16 \times 24\\x=384inches[/tex]
Hence the ramp must be 384inches long in order to easily accommodate a 24-inch rise to the door.
Learn more here: https://brainly.com/question/14503610
Immediately after filling my gas tank, I drove 237.1 miles to my favorite campground. I filled my tank again at the campground, and computed that I got 28.7 miles per gallon on the trip. How many gallons of gas did I use on the trip to the campground
Answer:
57,838.4 - 57,491.9 = 346.5 miles
346.5/17.5 = 19.8 miles per gallon.
Hope this helps :-)
Step-by-step explanation:
Please help roght now very rushed
Answer:
c
Step-by-step explanation:
A researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise regularly. Independent simple random samples of 16 people ages 30 dash 40 who do not exercise regularly and 12 people ages 30 dash 40 who do exercise regularly were selected, and the resting pulse rate (in beats per minute) of each person was measured. The summary statistics are to the right. Apply the nonpooled t-interval procedure to obtain a 95% confidence interval for the difference, mu 1 minus mu 2, between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise. Assume that the requirements for using the procedure are satisfied and round to two decimal places.
Answer:
We Reject H₀ if t calculated > t tabulated
But in this case,
0.83 is not greater than 2.056
Therefore, we failed to reject H₀
There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise.
Step-by-step explanation:
Refer to the attached data.
The Null and Alternate hypothesis is given by
Null hypotheses = H₀: μ₁ = μ₂
Alternate hypotheses = H₁: μ₁ ≠ μ₂
The test statistic is given by
[tex]$ t = \frac{\bar{x}_1 - \bar{x}_2}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } } $[/tex]
Where [tex]\bar{x}_1[/tex] is the sample mean of people who do not exercise regularly.
Where [tex]\bar{x}_2[/tex] is the sample mean of people who do exercise regularly.
Where [tex]s_1[/tex] is the sample standard deviation of people who do not exercise regularly.
Where [tex]s_2[/tex] is the sample standard deviation of people who do exercise regularly.
Where [tex]n_1[/tex] is the sample size of people who do not exercise regularly.
Where [tex]n_2[/tex] is the sample size of people who do exercise regularly.
[tex]$ t = \frac{72.7 - 69.7}{\sqrt{\frac{10.9^2}{16} + \frac{8.2^2}{12} } } $[/tex]
[tex]t = 0.83[/tex]
The given level of significance is
1 - 0.95 = 0.05
The degree of freedom is
df = 16 + 12 - 2 = 26
From the t-table, df = 26 and significance level 0.05,
t = 2.056 (two-tailed)
Conclusion:
We Reject H₀ if t calculated > t tabulated
But in this case,
0.83 is not greater than 2.056
Therefore, We failed to reject H₀
There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise.
the instantaneous growth rate r of a colony of bacteria t hours after the start of an experiment is given by the function r=0.01t^3-0.07t^2+0.07t+0.15 for 0≤t≤7. find the times for which the instantaneous growth rate is zero.
Answer:
t = 5,-1,3
Step-by-step explanation:
r=0.01t^3-0.07t^2+0.07t+0.15
For simplification let's multiply the equation by 100
100r = t³ - 7t² + 7t + 15
When r= 0
t³ - 7t² + 7t + 15= 0
Let's look for the value of t.
Let's try a possible division
(t³ - 7t² + 7t + 15)/(t-5) = t² -2t -3
So we've gotten one as t-5
Let's factorize t² -2t -3
= t² +t -3t -3
= t(t+1) -3(t+1)
= (t+1)(t-3)
So we have
(t-5)(t+1)(t-3)
What it means is that the possible values are when
t = 5,-1,3
These are also called the roots of the equation
Answer:I don’t know
Step-by-step explanation: fruit flys are weird
A politician who is running for the office of mayor of a city with 25,000 registered voters commissions a survey. In the survey, 48% of the 200 registered voters interviewed say they plan to vote for her. a. What is the population of interest?
Answer:
The 25,000 registered voters
Step-by-step explanation:
Population includes the entirety of the set of data, it consists of all the elements of a data set. For example all the students in a school, all the citizens of a country etc.
While the sample is the elements of the population from which observations are drawn from.
Therefore, for the case above, the population is the entirety of the registered voters in the city, that is all the 25,000 registered voters.
Assume that the probability of the binomial random variable will be approximated using the normal distribution. Describe the area under the normal curve that will be computed. Find the probability that at leastat least 3535 households have a gas stove.
This is not the correct question, the correct question is;
Assume that the probability of the binomial random variable will be approximated using the normal distribution. Describe the area under the normal curve that will be computed. Find the probability that at least 35 households have a gas stove.
Answer: p ( x > 34.5 ) The area to the right of 34.5
Step-by-step explanation:
Given that, x = 35
when using normal approximation
Using continuity correction
so
p ( x ≥ 35 ) = p ( x > 34.5 )
More than means the area is towards the right.
Therefore, the area under the normal curve is,
p ( x > 34.5 ) The area to the right of 34.5
What is the solution to arccos 0.5 express answer in radians
Answer:
arccos (0.5) is [tex]\frac{\pi}{3}[/tex]
Step-by-step explanation:
With the arccos(0.5) in this problem, you are asked which angle renders its cosine equal to 0.5 (or 1/2).
Recall that there are special angles in the unitary circle that render well know values like 1/2. There are two angle values between 0 and the full circle ([tex]2\pi[/tex] radians), that render cosine function equal 1/2, and they are: [tex]\frac{\pi}{3}[/tex], and [tex]-\frac{\pi}{3}[/tex].
The arccos uses just the first one as answer over the restricted domain between 0 and [tex]\pi[/tex], since otherwise it will not be considered a function.
So the answer is that the arccos (0.5) is [tex]\frac{\pi}{3}[/tex]
Which statements about the circle are correct? Check all that apply Arc PQ is congruent to arc SR. The measure of arc QR is 150 The circumference of circle C is cm. Arc PS measures about 13.1 cm. QS measures about 15.7 cm.
Answer:
1st 2nd 4th 5th
A quantity, T , Varies inversely with a quantity, r. If t=6 then r=5 what is the constant of variation
Answer:
t varies inversely to 30/r
Step-by-step explanation:
t varies inversely to r
(lol I can't seem to find the variation sign in the keyboard)
when you introduce the constant K the sign changes to =
t=k/r
if t=6, r=5
substitute the values
6=k/5
k= 6×5
k=30
we have found the constant so we add it to our initial equation
t inversely varies to 30/r
A box is filled with 3 yellow cards , 4 green cards. A card is chosen at random from the box. What is the probability that the card is not green?
Answer:
3/7
Step-by-step explanation:
total cards 3+4 = 7
Not green = 7-4 = 3 cards
P ( not green )= not green cards / total = 3/7
Answer:
3/7.
Step-by-step explanation:
There are seven cards in total, four of them being green.
The knowledge of the color of the other cards aren't really nessesary, so you can just subtract four from seven, which is three.
Hope this helped!
Which function is graphed below?
Answer:
Piecewise function;
y = 2x - 2 where x < 2
4 where 2 ≤ x ≤ 5
y = x + 1 where x > 5
Step-by-step explanation:
Function graphed represents the piecewise function.
1). Equation of the line with y-intercept (-2) and slope 'm'.
Since, slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{2}{1}[/tex]
= 2
Therefore, equation of this segment will be in the form of y = mx + b,
⇒ y = 2x - 2 where x < 2
2). Equation of a horizontal line,
y = 4 where 2 ≤ x ≤ 5
3). Equation of the third line in the interval x > 5
Let the equation of the line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Here, slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{2}{2}[/tex]
= 1
Equation of this line will be,
y = 1(x) + b
y = x + b
Since, this line passes through (5, 6),
6 = 5 + b
b = 6 - 5 = 1
Therefore, equation of this line will be,
y = x + 1 where x > 5
Graphed piecewise function is,
y = 2x - 2 where x < 2
4 where 2 ≤ x ≤ 5
y = x + 1 where x > 5
LM=9, NR=16, SR=8. Find the perimeter of △SMP.
HURRY FIRST ANSWER I WILL MARK YOU AS BRAINLILIST PROMISE
Answer:
perimeter of △SMP = 25Step-by-step explanation:
The perimeter of the triangle △SMP is the sum of al the sides of the triangle.
Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.
Given LM=9, NR=16 and SR=8
NR = NP+PR
Since NP = PR
NR = NP+NP
NR =2NP
NP = NR/2 = 16/2
NP = 8
From △LSM, NP = PR = MS = 8
Also since LM = MN, MN = 9
From △SRP, SR = RP = PS = 9
Also SR = MP = 8
From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
perimeter of △SMP = 8+8+9
perimeter of △SMP = 25
The salary scale for a senior officer starts at N57000
per annum. A rise of N2800 is given at the end of each
Find the total amount of money that the officer will
year.
earn in 14 years.
Answer:
N1,052,800.
Step-by-step explanation:
The starting salary of the officer = N57,000
Increase per annum =N2,800
The given pattern forms an arithmetic sequence since the annual salary increases by a fixed amount.
We are to determine the total amount of money that the officer will earn in 14 years.
Sum of an arithmetic sequence, [tex]S_n=\frac{n}{2}[2a+(n-1)d]$ ,where: \left\{\begin{array}{lll}$First term, a=57,000\\$Common difference, d=2,800\\$Number of terms, n=14\end{array}\right[/tex]
[tex]S_{14}=\frac{14}{2}[2(57,000)+(14-1)(2,800)]\\=7[114,000+13*2800]\\=7[150,400]\\=1,052,800[/tex]
At the end of 14 years, the total amount earned by the officer will be N1,052,800.
What is the exact volume of a cone whose base radius is 9ft and whose height is 14 ft. Show your work
━━━━━━━☆☆━━━━━━━
▹ Answer
V ≈ 1187.52
▹ Step-by-Step Explanation
V = πr²[tex]\frac{h}{3}[/tex]
V = π9²[tex]\frac{14}{3}[/tex]
V ≈ 1187.52
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: The exact volume of a cone with a base radius of 9 feet and height of 14 feet is 1187.52.
Step-by-step explanation:
Using the formula V=1/3hπ, we can substitute each variable that we have. Once simplified we will get 1185.52 exactly. Good Luck!
According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 emails per day.† Suppose for a particular office the number of emails received per hour follows a Poisson distribution and that the average number of emails received per hour is three. (Round your answers to four decimal places.) (a) What is the probability of receiving no emails during an hour? (b) What is the probability of receiving at least three emails during an hour? (c) What is the expected number of emails received during 15 minutes? (d) What is the probability that no emails are received during 15 minutes?
Answer:
Step-by-step explanation:
The interval of interest is per hour. This means 60 minutes. Since the number of emails received per hour follows a Poisson distribution and that the average number of emails received per hour is three, it means that
Mean, μ = 3
x is a random variable representing the number of mails received per hour
a) The probability of receiving no emails during an hour is expressed as
P(x = 0)
From the Poisson distribution calculator,
P(x = 0) = 0.0498
b) the probability of receiving at least three emails during an hour is expressed as P(x ≥ 3).
P(x ≥ 3) = 0.577
c) the expected number of emails received during 15 minutes is
3 × 15/60 = 0.75
d) mean = 0.75
From the poisson distribution calculator, P(x = 0) = 0.47
Find the value of x in the figure
(X+5)* 90*
Answer:
x = 85 deg
Step-by-step explanation:
We can see that there are two straight lines that intersect and that the two angles given are opposite angles.
Because they are opposite angles, the two angles have the same value, i.e
(x + 5) = 90 (subtract 5 from each side)
x = 90 - 5
x = 85 deg
Ben owns a townhome valued at $195,000, but still owes $120,000 on the loan, Ben has $5,000 in savings and a balance of $1,400 on his credit cards. There is a balance of $20,000 owed on Ben's car which is valued at $38,000. What is Ben's net worth?
Answer:
$96,600
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
What is the value of n in the numerical sentence?
Answer: n = -2
Step-by-step explanation:
answer:
-2
step by step explanation:
he dot plot shows the number of words students spelled correctly on a pre-test. A number line going from 2 to 11. 0 dots are above 2. 0 dots are above 3. 1 dot is above 4. 2 dots are above 5. 4 dots are above 6. 4 dots are above 7. 3 dots are above 8. 2 dots are above 9. 2 dots are above 10. 0 dots are above 11. Which statement best describes the shape of the graph? The graph is skewed right. The graph is nearly symmetrical. The graph is skewed left. The graph is perfectly symmetrical.
Explanation:
Given information:
A number line going from 2 to 11. 0 dots are above 2. 0 dots are above 3. 1 dot is above 4. 2 dots are above 5. 4 dots are above 6. 4 dots are above 7. 3 dots are above 8. 2 dots are above 9. 2 dots are above 10. 0 dots are above 11.From that we can see the data set is {4,5,5,6,6,6,6,7,7,7,7,8,8,8,9,9,10,10} which produces the dot plot you see in the image attachment below.
It's a bit tricky to see, but the graph is nearly symmetrical. If we were to remove the blue points in the dot plot I provided, then we'll get a perfectly symmetrical distribution. Symmetrical means one half is a mirror copy of the the other half. The center line of a symmetrical distribution is both the mean and median.
Answer:
The Answer On Edge Is A.), Have Fun Dreamers!
Step-by-step explanation:
Solve the system of linear equations.
Answer:
work is shown and pictured
I NEED HELP PLEASE, THANKS! :)
Answer:
Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1
Step-by-step explanation:
This is Principle of Mathematical Induction ---PMI
Step 1: Verify that Sn is valid for n =1
Step 2:Assume that Sk is valid for n=k and prove that Sn is valid for n= k+ 1
Solve the equations. 8x + 7y = 39 4x – 14y = –68
Answer:
y = 5, x= 1/2
Step-by-step explanation:
8x+7y = 39
4x - 14y = -68
x = 39/8 - 7/8y
4(39/8 - 7/8y) -14y = -68
19.5 - 3.5y -14y = -68
-17.5y = -87.5
y = 5
x = 39/8 - 7/8(5)
x = 0.5 or 1/2
Find the equation of the line with slope m=1/2 that contains the point (4,6)
Answer:
y = 1/2x + 4
Step-by-step explanation:
Use the formula for the equation of a line.
y = mx + b
Where m is the slope, and b is the y-intercept.
The slope is given.
y = 1/2x + b
The points (x, y) are given.
(4, 6)
Put y as 6 and x as 4, solve for b.
6 = 1/2(4) + b
6 = 2 + b
6 - 2 = b
4 = b
The y-intercept is 4 or (0, 4).
The equation of the line is y = 1/2x + 4.