Answer:
H. 10 h
Step-by-step explanation:
40.50-5.5 = 35
35/3.5 = 10 hours
3. classify each as nominal-level, ordinal-level, interval level, or ratio-level measurement. a. pages in the city of cleveland telephone book. (1 mark) b. rankings of tennis players. (1 mark) c. weights of air conditioners. (1 mark) d. temperatures inside 10 refrigerators. (1 mark) e. salaries of the top five ceos in the united states. (1 mark) f. ratings of eight local plays (poor, fair, good, excellent). (1 mark) g. times required for mechanics to do a tune-up. (1 mark) h. ages of students in a classroom. (1 mark)
Q1
Nominal - D
Ordinal- B, G
Ratio - A, C, E, F
Q2
Quantitative- A, C, D, G
Qualitative -B, E, F, G
Q3
Simple Random - A, C
Systematic Sample - B
Nominal measures are the most accurate and meaningless, as they only show the "characteristics" or "identities" that we are interested in. In other words, in a nominal variable, a number just gives the attribute a unique "name". In this case, the number is just a label.
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A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point.
A triangle shows the course of a boat. Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock. The angle between 25 miles and 28 miles is x degrees.
Law of cosines:
By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.
30 degrees
39 degrees
46 degrees
The number of degrees that the direction of the boat change when it made its first turn is 39°.
How to calculate the value?From the information given, we would use the cosine function to solve the information.
This will be:
18² = 28² + 25² - 2(28)(25)(cos x)
324 = 784 + 625 - 1400cosx
x = 39.19
Therefore, the value is 39°.
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Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below:
A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 1 meter.
What is the maximum length of the seesaw?
1.4 meters
2 meters
0.5 meters
1 meter
Based on the angle of the seesaw and the height off the ground, the maximum length of the seesaw is 2 meters.
What is the seesaw's maximum length?This can be found as:
Sin 30° = 1 / Maximum length
Solving gives:
Sin 30° = 1 / Maximum length
Ml = 1 / Sin 30°
= 1 / 0.5
= 2 meters
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what is the circumference?
WILL GIVE BRAINLEST!!!
I. The diagonals in a trapezoid are always equal in length.
II. The diagonals in a trapezoid always bisect each other.
III. The diagonals in a trapezoid always intersect at the median.
Which of the above statements are NOT true for all trapezoids?
I only
I, II, and III
I and III
I and II only
Answer:
I and II only
this is confusing me please helpppp
Answer:
base = 12 cm , altitude = 16 cm
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] ba ( b is the base and a the altitude )
here a = b + 4 , then
[tex]\frac{1}{2}[/tex] b(b + 4) = 96 ( multiply both sides by 2 to clear the fraction )
b(b + 4) = 192
b² + 4b = 192 ( subtract 192 from both sides )
b² + 4b - 192 = 0 ← in standard quadratic form
(b + 16)(b - 12) = 0 ← in factored form
equate each factor to zero and solve for b
b + 16 = 0 ⇒ b = - 16
b - 12 = 0 ⇒ b = 12
however, b > 0 then b = 12
so base = 12 cm and altitude = b + 4 = 12 + 4 = 16 cm
Answer:
base = 12 cm
Altitude = 16 cm
Step-by-step explanation:
Area of the triangle:[tex]\sf \boxed{Area \ of \ triangle = \dfrac{1}{2}*base*height}[/tex]
base = x cm
altitude or height = (x + 4) cm
[tex]\sf \dfrac{1}{2}*x*(x+4) = 96\\\\[/tex]
x * (x + 4) = 96*2
x*x + x*4 = 192
x² + 4x = 192
x² + 4x - 192 = 0
Sum = 4
Product = -192
Factors = (-12) , 16
When we add (-12) & 16, we get 4. When we multiply (-12) & 16, we get (-192).
Rewrite the middle term using the factors.
x² + 16x - 12x - 192 = 0
x(x + 16) -12(x + 16) = 0
(x + 16)(x - 12) = 0
x - 12 = 0 or x + 16 = 0
x = 12 or x = -16
Ignore x = -16 as measurements won't be in negative value.
x = 12
Base = 12 cm
Altitude = 12 + 4 = 16 cm
A population of a particular yeast cell develops with a constant relative growth rate of 0.4311 per hour. The initial population consists of 3.9 million cells. Find the population size (in millions of cells) after 5 hours. (Round your answer to one decimal place.)
A population of a particular yeast cell develops with a constant relative growth rate of [tex]0.4311[/tex] per hour. The initial population consists of [tex]3.9[/tex]million cells. Find the population size (in millions of cells) after 5 hours. Population size after [tex]5hrs[/tex] is [tex]33.6million[/tex].
How can we find the population size ?
The projection of population growth in yeast is given by
[tex]N=N_{0} e^{rt}[/tex]
Where [tex]N_{0}[/tex]=initial population which is [tex]3.9million[/tex]
[tex]r[/tex]=intrinsic rate of natural increases which is [tex]0.4311million per hour[/tex]
N is population size
Substitute the values
[tex]N=N_{0} e^{rt}\\N=3.9(e^{0.4311*5} )\\\\N=33.6 million[/tex]
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The polygon circumscribes the circle. Which of the following is the perimeter of the polygon?
A. 39 cm
B. 56 cm
C. 61 cm
D. 78 cm
The perimeter of the polygon that circumscribes the circle is 78 cm
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle tangent theorem states that tangents which meet at the same point are equal in length. Hence:
The missing lengths are 8, 6, 9 and 16.
Perimeter of the polygon = 2(8) + 2(6) + 2(9) + 2(16) = 78 cm
The perimeter of the polygon that circumscribes the circle is 78 cm
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make x the subject. show work!
Answer:
[tex]x = \frac{b}{6a} - c[/tex]
Step-by-step explanation:
Steps are as below:
(I will refer A as 'a' and B as 'b')
[tex]a = \frac{b}{c + x} - 5a \\ a + 5a = \frac{b}{c + x} \\ 6a = \frac{b}{c + x} \\ 6a(c + x) = b \\ 6ac + 6ax = b \\ 6ac = b - 6ax \\ b - 6ax = 6ac \\ - 6ax = 6ac - b \\ 6ax = - (6ac - b) \\ 6ax = b - 6ac \\ x = \frac{b - 6ac}{6a} \\ x = \frac{b}{6a} - \frac{6ac}{6a} \\ x = \frac{b}{6a} - c[/tex]
Find the polynomial function in standard form that has the zeros listed. i and -i
The polynomial function in standard form that has the zeros listed. i and -i is x² +1 = 0.
What is polynomial function?A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions.
The values of x that fulfil the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of the equation f(x) = 0 determines how many zeros a polynomial has.
Calculation for the polynomial function-
The general two degree/quadratic equation is given by-
ax² + bx + c = 0
Where a ≠ 0
If the two roots of the equation are x1 and x2.
Then the relation between roots and coefficients of the polynomial are -
The sum of the roots = (- coefficient of x)/(coefficient of x²)x1 + x2 = (-b)/a
The multiplication of the roots = constant/coefficient of x²x1.x2 = c/a
From the above two relation the general equation can be written as-
x² -(x1 - x2)x + x1.x2 = 0
Lets say x1 = i and x2 = -i
Substitute the values of x1 and x2 in the general equation
x² -(i - i)x + (i).(-i) = 0
x² - i ² = 0
x² + 1 = 0
Therefore, the polynomial function in standard form that has the zeros listed. i and -i is x² + 1 = 0.
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Ellen has a bag with 3 red marbles and 2 blue marbles in it. she is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. how many times do you predict that the marble picked will be blue using the theoretical probability?
The blue marble is predicted to be picked 120 times, in the experiment of picking a marble from a bag containing 3 red and 2 blue marbles and performing this experiment 300 times, using the theoretical probability.
The theoretical probability of any event is the ratio of the number of favorable outcomes to the event, to the total number of possible outcomes in the experiment.
If we have an event A, the number of favorable outcomes to event A as n, and the total number of possible outcomes in the experiment as S, then the theoretical probability of event A is given as:
P(A) = n/S.
In the question, we are given that Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw.
We are asked the predict the number of times that the marble picked will be blue using the theoretical probability.
Let the event of picking a blue marble be A.
The number of favorable outcomes to event A (n) = 2 {The total number of blue marbles in the bag}.
The total number of possible outcomes in the experiment of picking a ball (S) = 5 {The total number of marbles in the bag}.
Thus, the theoretical probability of event A is,
P(A) = n/S = 2/5 = 0.4.
To predict the number of times marble picked was blue, we multiply the time's the experiment was performed by the theoretical probability of picking a blue ball.
Thus, the predicted number of times = 300 * 0.4 = 120.
Thus, the blue marble is predicted to be picked 120 times, in the experiment of picking a marble from a bag containing 3 red and 2 blue marbles and performing this experiment 300 times, using the theoretical probability.
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One of the reasons to use the bootstrap method is because the formula for the confidence interval is too hard to derive. Group of answer choices True False
The confidence interval formula is extremely complicated to derive, which is one of the justifications for using the bootstrap approach. this statement is true.
What purposes serve the bootstrap method?A resampling technology named the bootstrap can be used to sample a dataset using replacement to calculate statistics on a group. Estimating summary statistics like the mean or standard deviation may be done using it.
The advantages of the bootstrap methodThe benefits of bootstrapping include its simplicity in estimating standard errors and confidence intervals as well as its cost-effectiveness in avoiding the need to conduct the operation to get additional groups of sampled data.
Therefore it can be concluded that the said query statement is true.
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Help needed
65. Solve for in the logarithmic equation 3 log x = 2.
O * = 1,000,000
O * = 150
O * = 56.423
O * = 4.642
Pls, I need help. Whoever gets it right gets the brainliest.
There can be 18, 12, 9, 6, 4 , 3 or 2 students on each team depending on the number of teams selected.
How to know the number of students on each team?Considering there are at least 2 teams but no more than 19 teams, let's calculate the number of students in each case:
2 teams: 18 students per team (36/2 = 18)3 teams: 12 students per team (36/3 =12)4 teams: 9 students per team (36/4 = 9)6 teams: 6 students per team (36/6 = 6)9 teams: 4 students per team (36/9 = 4)12 teams: 3 students per team (36/12= 3)18 teams: 2 students per team (36/18 = 2)Learn more about teams in: https://brainly.com/question/10750297
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If a researcher needs a sample that is representative of the population they are studying, they could utilize a _______.
The researchers could utilize a probability sample.
Meaning of a Probability Sample
Every member of a population must have an equal chance of being chosen for a study in order for a sample to be considered a probability sample, and the researcher must be aware of this likelihood. The most typical type of sampling used in public opinion research, election polling, and other studies whose findings will be generalized to a larger population is probability sampling in which probability samples are made use of.
Probability Sample as the Representative of Population Sample
Here, a sample that qualifies for a representative of the population the researchers are studying, must consist of members having equal chances to be chosen for the study. Thus, a probability sample is the best representative of their study population.
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Using the defects method, which of these relationships represents the law of cosines if the measure of the included angle between the sides a and b of ∆abc is more than 90°? a. area of square c2 = -area of square a2 − area of squareb2 area of defect1 area of defect2 b. area of square c2 = area of square a2 area of squareb2 area of defect1 − area of defect2 c. area of square c2 = area of square a2 area of squareb2 − area of defect1 − area of defect2 d. area of square c2 = area of square a2 area of squareb2 area of defect1 area of defect2 e. area of square c2 = area of square a2 − area of squareb2 area of defect1 − area of defect2
The relationship that represents the law of cosines if the measure of the included angle between the sides a and b is D. area of square c² = area of square a² area of squareb² area of defect1 area of defect2
What is the law of cosine?It should be noted that the cosine law is simply used to solving triangles.
The law simply states that c² = a² + b² - 2abcosC.
The correct option that illustrates this is D.
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Answer:
c. area of square c2 = area of square a2 + area of square b2 – area of defect1 – area of defect2
Step-by-step explanation:
Can someone please help me on this
Answer:
? = 38°
Step-by-step explanation:
We can use the property of sine to find the missing angle value.
sin (angle) = opposite / hypotenuse
sin (?) = 16 / 26 <----- Insert values
? = sin⁻¹(16 / 26) <----- Rearrange
? = 37.97... <----- Solve
? = 38° <----- Round
Instructions: State what additional information is required in order to know that the triangles in the image below are congruent for the reason given.
Reason: SAS Postulate
When two or more given triangles are congruent, this implies that the measures of their corresponding angles and sides are equal. So that the additional information required in the question is FG ≅ IJ.
When two or more given triangles are congruent, this implies that the measures of their corresponding angles and sides are equal. Thus the congruent relations of the triangles can be with respect to their angles or/ and sides.
The two given triangles in the question would be congruent with respect to the Side-Angle-Side (SAS) postulate if the condition below is true:
i.e FG ≅ IJ
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what is the derivative of this
The derivative of the natural logarithm function is given by:
[tex]f^{\prime\prime}(x) = \cotg{x}[/tex]
What is the derivative of the natural logarithm function?Suppose we have a composite natural logarithm function given as follows:
[tex]f(x) = \ln{g(x)}[/tex]
The derivative of the function is given as follows:
[tex]f^{\prime}(x) = \frac{g^{\prime}(x)}{g(x)}[/tex]
In this problem, the function, which is already a first derivative, it given by:
[tex]f^{\prime}(x) = \ln{|\sin{x}|} + 3[/tex]
The derivative of a constant is of zero, and the derivative of sin(x) is cos(x), hence the derivative of the entire function is given as follows:
[tex]f^{\prime\prime}(x) = \frac{\cos{x}}{\sin{x}} = \cotg{x}[/tex]
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SOLVE FOR X AND THEN SOLVE FOR A
Answer:
Step-by-step explanation:
A + B= 180°
(5x+20)+(9x-92)=180°
14x-72=180°
14x=252
x=18
A=5(18)+20
A=110
Answer:
x = 18 , ∠ A = 110°
Step-by-step explanation:
∠ A and ∠ B are same- side interior angles and sum to 180° , that is
5x + 20 + 9x - 92 = 180
14x - 72 = 180 ( add 72 to both sides )
14x = 252 ( divide both sides by 14 )
x = 18
Then
∠ A = 5x + 20 = 5(18) + 20 = 90 + 20 = 110°
A rectangle room has a perimeter of 70m.what would be the length of the longest side of the room?
Answer:
The longest side of room is 24m
CAN SOMEONE SHOW ME HOW TO DO THIS PLEASE!
3.5 ft If the ADA guidelines state that a wheelchair ramps angle of elevation must equal 4.8°, would a ramp with the following dimensions be up to code? Show your work and explain. (Picture is
not drawn to scale.)
40 ft
Ꮎ°
Answer:
∠α = 5.001°
a easy calculator for this is:
https://www.calculator.net/right-triangle-calculator.html?av=3.5&alphav=&alphaunit=d&bv=40&betav=&betaunit=d&cv=&hv=&areav=&perimeterv=&x=57&y=16
How did the temperature change it increased by 50% and then it decreased by 33 1/3%
There is no change in the temperature.
What is temperature?A temperature is a physical number that describes how hot matter is, or it can be used to calculate the average translational kinetic energy per atom or molecule in a system. It is the measurable fraction of matter's molar thermal energy; a temperature difference allows heat transfer to take place, as energy transfers from a hotter body to a colder body.To find how much temperature is changed:
Let, 'F' be the temperature.
Temperature decreased by [tex]33\frac{1}{3}[/tex]%.
F × (1-.33333) = Temperature increases by 50%.
(F × (1-.33333)(1.50)) = F = No net change, right back to the original temperature F.
Therefore, there is no change in the temperature.
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A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue
(C) [tex]\frac{1}{3}[/tex] fraction of the marbles now in the bag is blue.
What is a fraction?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line. Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.To find what fraction of the marbles now in the bag is blue:
Important information is that immediately before the last step blue marbles formed [tex]\frac{1}{5}[/tex] from the marble in the bag. That means that there were [tex]x[/tex] blue and [tex]4x[/tex] other marbles, for some [tex]x[/tex]. When we double the number of blue marbles, there will be [tex]2x[/tex] blue and [tex]4x[/tex] other marbles. Hence, blue marbles now form [tex]\frac{1}{3}[/tex] all marbles in the bag.Therefore, (C) [tex]\frac{1}{3}[/tex] fraction of the marbles now in the bag is blue.
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Complete question:
A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?
(A) 1/5
(B) 1/4
(C) 1/3
(D) 2/5
(E) 1/2
A square pool is surrounded by a paved area that is 2 metres wide. If the area of the paving is 72m2, what is the length of the pool?
The length of the square pool is 8. 49cm
How to determine the areaNote that the formula for finding the area of a square is given as;
Area = length^2
We have
Area = 72 m²
Substitute into the formula
I^2 = 72
Find the square root of both sides
I= √72
I = 8. 49cm
The length of the square pool given as I is 8. 49cm
Thus, the length of the square pool is 8. 49cm
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A linear function on a coordinate plane. A line passing through (1, 4), (minus 2, minus 2), intersects the y- axis at 2 units and intersects the x-axis at (minus 1, 0) to form shaded portions on the left side of the line. Which of the following inequalities is graphed on the coordinate plane?
The inequality passing through (1, 4), (-2, -2), intersecting the y-axis at 2 units and intersects the x-axis at (-1, 0) to form shaded portions on the left side is y > 2x+2
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
An inequality shows the non equal comparison of two or more numbers and variables.
The inequality passing through (1, 4), (-2, -2), intersecting the y-axis at 2 units and intersects the x-axis at (-1, 0) to form shaded portions on the left side is y > 2x+2
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A container is the shape of an inverted right circular cone has a radius of 4.00 inches at the top and a height of 5.00 inches. At the instant when the water in the container is 2.00 inches deep, the surface level is falling at the rate of -2.00 in./s. Find the rate at which water is being drained.
The rate at which the water from the container is being drained is 24 inches per second.
Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.
Looking at the image we can use similar triangle propert to derive the relationship:
r/R=h/H
where dh/dt=2.
Thus r/5=2/5
r=2 inches
Now from r/R=h/H
we have to write with initial values of cone and differentiate:
r/5=h/5
5r=5h
differentiating with respect to t
5 dr/dt=5 dh/dt
dh/dt is given as 2
5 dr/dt=5*-2
dr/dt=-2
Volume of cone is 1/3 π[tex]r^{2} h[/tex]
We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.
Thus
dv/dt=1/3 π(2rh*dr/dt)+([tex]r^{2}[/tex]*dh/dt)
Putting the values which are given and calculated we get
dv/dt=1/3π(2*2*2*2)+(4*2)
=1/3*3.14*(16+8)
=3.14*24/3.14
=24 inches per second
Hence the rate at which the water is drained from the container is 24 inches per second.
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Prove the statement using a two-column proof or paragraph proof.
M
L
Given: JKLM is a parallelogram; KL≈ LM; JL MK
Prove: JKLM is a rhombus.
Complete your proof in the box below. You will be awarded 5 points for your
statements and 5 points for your reasons.
1) JKLM is a parallelogram, [tex]\overline{KL} \cong \overline{LM}[/tex] (given)
2) JKLM is a rhombus (a parallelogram with a pair of consecutive congruent sides is a rhombus)
please i seriously need step-by-step on this tyty
Answer: G=4
Step-by-step explanation:
You’ve gone to visit your friend in Germany. As you’re getting dressed for a day out, your friend tells you it’s 16 degrees (Celsius) outside. The formula for degrees Celsius in relation to degrees Fahrenheit is
C=(5f-160)/(9)
a. Invert this equation to solve for Fahrenheit.
b. Tell what the temperature is in degrees Fahrenheit.
c. What kind of clothing should you wear for the day to be comfortable at that temperature?
d. Is there a temperature at which Celsius and Fahrenheit are described by the same number? Explain how you would find that number.