Answer:
An airplane which has airspeed of 575 hm/hr head directly east the win is blowing with a velocity of 8.20 km/hr
Step-by-step explanation:
Find the degree measure of the angle with the given radian measure. (Round your answer to one decimal place.)
Answer:
108 degrees
Step-by-step explanation:
Since we are not given the radian measure. Let the radian measure be 3π/5 rad;
Using the conversion;
πrad = 180°
3π/5 rad = x
Cross mulriply;
π * x = 180 * 3π/5
x = 180 * 3/5
x = 36 * 3
x = 108 degrees
Hence the degree measure is 108 degrees
Note that the same conversion can be used to convert other values in radians
What is the simple interest earned when the principal is $500 at a rate of 10% held in the ban for 8 months?
S.I= PRT /100
where,
P = price $500
R = rate 10%
T = time =8months
= $500*10*8/100
= $40,000/100
S.I = $400
A random sample of house sizes in major city has a sample mean of 1204.9 square feet and a sample standard deviation of 124.6 square feet. Use the Empirical rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet. Round your answer to the nearest whole number (percent).
Answer:
95% of house sizes lie between 955.7 and 1454.1 square feet.
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
In the above question,
Mean (μ)= 1204.9 square feet
Standard deviation (σ) = 124.6 square feet.
We are to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet.
Step 1
We have to find the number of standard deviation from the mean
μ – xσ
1204.9 - 124.6x = 955.7
1204.9 - 955.7 = 124.6x
249.2 = 124.6x
x = 249.2/124.6
x = 2
μ + xσ
1204.9 + 124.6x = 1454.1
124.6x = 1454.1 - 1204.9
124.6x = 249.2
x = 249.2/124.6
x = 2
Therefore from the calculation above, it is 2 standard deviations from the mean, hence: from the empirical formula above,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ
Help what the answer to the question
Answer:
216
Step-by-step explanation:
120 divided by 6 equals 20 so 100 divided by 6 equal 16
There are 125 people on a mountain trail. If 55 people on the trail are children, what percentage of the people on the trail are children?
Answer:
44%
Step-by-step explanation:
.44 x 125 equals 55 n
Answer:
The percentage of people who were children = 44%
Step-by-step explanation:
Total people = 125Children on the trail = 55We need to determine the percentage of the people on the trail who are children.
All we need is to divide 55 by the total number of people i.e. 125 and then multiply the result by 100.so
Children percentage = 55 / 125 × 100
= 0.44 × 100
= 44%
Therefore, the percentage of people who were children = 44%
What number has the prime factorization 2^2*3*5^2 * 7? Show how you
found the number.
Answer:
3 • 74509
I this is right
A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph of the equation is shown. Describe what the slope and y-intercept represent.
Answer:
y-intersept is the design fee
A pizzeria's gains and losses for 3 months are: $627, -$480, and $854. What is the pizzeria's total profit or loss after 3 months?
A. $1961
B. $147
C. $374
D. $1001
Answer:
1001
Step-by-step explanation:
Answer:
$1001
Step-by-step explanation:
$627 -$480 + $854 = 1001$
please help me, it’s asking what the constant rate of change, if it’s possible.
4x^2-9×-9=0 solve using quadratic equation
Find the inverse: f(x) = -3 -4/3 x
Answer:
3+4/3x
Step-by-step explanation:
I need help with math homework algebra #4
Answer:
A. (-5, 0) and (1, -3)
B. Slope (m) = -½
C. y + 3 = -½(x - 1)
D. y = -½x - ⁵/2
E. ½x + y = ⁵/2
Step-by-step explanation:
A. Two points on the line from the graph are: (-5, 0) and (1, -3)
B. The slope can be calculated using two points,(-5, 0) and (1, -3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{1 -(-5)} = \frac{-3}{6} = -\frac{1}{2} [/tex]
Slope (m) = -½
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (1, -3), and m = -½ into the point-slope equation, y - b = m(x - a).
Thus:
y - (-3) = -½(x - 1)
y + 3 = -½(x - 1)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y + 3 = -½(x - 1)
2(y + 3) = -1(x - 1)
2y + 6 = -x + 1
2y = -x + 1 - 6
2y = -x - 5
y = -x/2 - ⁵/2
y = -½x - ⁵/2
E. Convert the equation in (D) to standard form:
y = -½x - ⁵/2
½x + y = ⁵/2
the length of a rectangle is three times its width ,if the width is x cm. write down an expression of length in term of x
Answer:
L = 3x cm
Step-by-step explanation:
For this problem, let's consider the relation that is stated:
Length is 3 times as much as the width. The width is x cm.
Mathematically we can say the following:
L = 3W
W = x cm
So we can say the following about the length:
L = 3W
L = 3(x cm)
L = 3x cm
Cheers.
Verify experimentally that the angle opposite to the longer side is greater than
the angle opposite to the shorter side in any triangle (at least two figures are
necessary)
Answer:
If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.
Step-by-step explanation:
That's how you can prove which side is bigger
there are 8 dinner rolls in a package. how many packages will be needed to feed 88 people if each person has 2 dinner rolls
Answer:
22
Step-by-step explanation:
8 times 10= 80 +8=88. now thats 11 packages. 11 times 2=22
given: 2c=d-2b, c=a-b, d=a+b prove: a=b
Answer:
D
Step-by-step explanation:
A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?
Answer:
To find out which one is the better buy we have to find out what the unit price of each one is. To find a unit price you divide the ounce by the cost.
Step-by-step explanation:
5/90=18 cents
12/240=5 cents
the 12 ounce can is less per ounce so the 12 ounce can is the better buy.
. The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.† Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes. Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample. The report concludes that on average, adults in the United States get less sleep on work nights than adults in Mexico. Is this a reasonable conclusion? Support your answer with an appropriate hypothesis test. (Use
= 0.05.
Use 1 for Mexico and 2 for the United States.)
Answer:
Yes the conclusion in the question is a reasonable conclusion
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n_1 = n_2 = n = 250[/tex]
The sample mean for USA is [tex]\= x_1 = 391 \ minutes[/tex]
The sample mean for Mexico is [tex]\= x_2 = 426 \ minutes[/tex]
The sample standard deviation for USA is [tex]s_1 = 25 \ minutes[/tex]
The sample standard deviation for Mexico is [tex]s_2 = 49 \ minutes[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }[/tex]
=> [tex]z = \frac{ 391 - 426 }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }[/tex]
=> [tex]z = -10[/tex]
From the z table the area under the normal curve to the left corresponding to -10 is
[tex]p-value = P(Z < -10 ) = 0.00[/tex]
Generally from the value obtained we see that
The p-value is < [tex]\alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico
Hence the conclusion in the question is a reasonable conclusion
The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis. This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
Given :
The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night.For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes.Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample.According to the given data the sample size of the US and Mexico is [tex]\rm n_1=n_2=250[/tex].
The hypothesis are as follows:
Null Hypothesis is [tex]\rm H_0 : \mu_1=\mu_2[/tex]
Alternate Hypothesis is [tex]\rm H_1 : \mu_1<\mu_2[/tex]
Now, the mathematical representation of test statistics is:
[tex]\rm z = \dfrac{\bar{x_1}-\bar{x_2}}{\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}} }[/tex]
[tex]\rm z = \dfrac{391-496}{\sqrt{\dfrac{25^2}{250}+\dfrac{49^2}{250}} }[/tex]
z = -10
According to the z-table:
p - value = p (Z < -10) = 0
The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis.
This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
For more information, refer to the link given below:
https://brainly.com/question/23044118
HELP ASAP LAST QUESTION
Answer:
-9.63
Step-by-step explanation:
-√92.75=
-9.63
please help me w this
Answer:
54
Step-by-step explanation:
54
bölenin 8,bölümün 68 olduğu bir bölme işleminde bölünen sayı en fazla kaç olur
Cevap:
68 bölü 8, bundan çıkardığım şey, yanılıyorsam cevabımı sil. Ancak 68 bölü 8 = 8,5
Lucy rides her bicycles 240 feet. A wheel of her bicycle turns 40 times as the bicycle travels this distance. What is the diameter of the wheel?
The population of a city is estimated to decline according to the model P(t)=197000e^-0.014t, where t is the number of years present. What does the model predict the population will be in 13 years?
A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 16 feet from the wall.
Answer:
0.17 °/s
Step-by-step explanation:
Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.
We differentiate the above expression with respect to time to have
dsinθ/dt = d(D/L)/dt
cosθdθ/dt = (1/L)dD/dt
dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.
We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft
We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]
dθ/dt = (1/Lcosθ)dD/dt
dθ/dt = (1/L√[1 - (D/L)²])dD/dt
dθ/dt = (1/√[L² - D²])dD/dt
Substituting the values of the variables, we have
dθ/dt = (1/√[20² - 16²]) 2 ft/s
dθ/dt = (1/√[400 - 256]) 2 ft/s
dθ/dt = (1/√144) 2 ft/s
dθ/dt = (1/12) 2 ft/s
dθ/dt = 1/6 °/s
dθ/dt = 0.17 °/s
question 14
if QS is an angle bisector of PQR and PQR = 140, find the measurement of PQS
Answer:
[tex]B.\angle PQS=70[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\QS\ is\ the\ angle\ bisector\ of\ \angle PQR\\\angle PQR=140\\Hence,\\QS\ bisects\ \angle PQR\ into\ \angle PQS\ and\ \angle SQR\ which\ are\ both\ equal.\\Hence,\\\angle PQS\ = \angle SQR\\As\ \angle PQR=\angle PQS\ + \angle SQR\\140=\angle PQS\ + \angle SQR\\As\ \angle PQS\ = \angle SQR [Proven]\\140=\angle PQS\ + \angle PQS\\Hence,\\140=2\angle PQS\\\angle PQS=\frac{140}{2} \\\angle PQS=70[/tex]
Please, help me with my homework! Thank you!
Answer: where is the homework that is needing help
Solve both problems with explanation for brainliest:
Answer:
1)5600 minutes
2)2000n minutes
Step-by-step explanation:
50/.125 * 14 = 5600
800/.4*n= 2000n
Use the relationship between the angles in the figure to answer the question.
Which equation can be used to find the value of x?
x+49−28=180
x−49−28=180
x + 49 + 28 = 180
x + 28 = 180
Three lines making six angles with the top left angle at twenty eight degrees, the top right angled at forty nine degrees and the bottom middle angle at x degrees
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
The angles on a straight line with x° are 28° and 49° respectively, side by side with x°. This is because, vertical angles are equal. Therefore, the angle vertically opposite 28° and 49° are equal to 28° and 49° respectively.
Therefore, since angles on a straight line is 180°, thus:
x + 49 + 28 = 180
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
THIS ANSWER IS CORRECT
What is the recursive formula for this sequence? 12, 16, 20, 24, 28, ...
Answer:
A
Step-by-step explanation:
first term is 12, and following terms are obtained adding 4 to previous term.
. Casey took 25 tests in 135 days. At this rate, in how many days will she take another 10 tests? You may use the ratio table below to help.
Answer rounded by nearest thousand
1.085
Answer rounded by nearest day
2
Step-by-step explanation:
25/135
make into a unit fraction
0.185/1
multiple by ten
1.85/10
