Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of
x
x that support your conclusion.
−5x=35
A) (2x-10)(3x+1)
B) (3x+2)(2x-5)
C) (2x+5)(3×+1)
D) (2x+1)(3×+5)
E) None of the above. The quadratic f(x) = 6x] + 11X - 10
would have which of the following
factors?
Answer:
B
Step-by-step explanation:
(3x+2)(2x-5)
Brainliest?
what indicates a location and has no size
Answer:
a point indicates a location and has no size
Consider the following hypothesis test.H0: p = 0.30Ha: p ≠ 0.30A sample of 400 provided a sample proportionp = 0.285.(a)Compute the value of the test statistic. (Round your answer to two decimal places.)(b)What is the p-value? (Round your answer to four decimal places.)p-value =(d)What is the rejection rule using the critical value? (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic ≤test statistic ≥
The calculated test statistic z = -0.56 is not in the rejection region, we fail to reject the null hypothesis H0: p = 0.30.
(a) The test statistic for testing the null hypothesis H0: p = 0.30 against the alternative hypothesis Ha: p ≠ 0.30 using the sample proportion p = 0.285 is given by:
z = (p - μ) / (σ / sqrt(n))
where μ = 0.30, σ = sqrt(μ(1-μ)/n) = sqrt(0.30(0.70)/400) = 0.027,
and n = 400.
Substituting the values, we get:
z = (0.285 - 0.30) / (0.027)
z = -0.56 (rounded to two decimal places)
(b) The p-value is the probability of getting a test statistic as extreme as the observed, assuming the null hypothesis is true. Since this is a two-tailed test, we need to find the probability of getting a z-score less than -0.56 or greater than 0.56, given a standard normal distribution.
Using a standard normal table or calculator, we find that the probability of getting a z-score less than -0.56 is 0.2881, and the probability of getting a z-score greater than 0.56 is also 0.2881. Therefore, the p-value is the sum of these probabilities:
p-value = P(z < -0.56 or z > 0.56) = 0.2881 + 0.2881 = 0.5762 (rounded to four decimal places)
(c) The rejection rule using the critical value depends on the level of significance α and the type of test (one-tailed or two-tailed). Assuming a two-tailed test with α = 0.05, the critical values for the test statistic are ±1.96, which are obtained from a standard normal table or calculator.
Therefore, the rejection rule is:
if z ≤ -1.96 or z ≥ 1.96, reject H0.
Otherwise, fail to reject H0.
Since the calculated test statistic z = -0.56 is not in the rejection region, we fail to reject the null hypothesis H0: p = 0.30.
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EASY GEOMETRY**
what is the measure of the angle shown.
Answer: Answer D. Between 90 degrees and 180 degrees.
Step-by-step explanation: It isn't quite a 90 degree angle (think of a perfect square) but it's closer to 180 degrees (think of a straight line)
Answer: D
Step-by-step explanation:
Use the process of elimination...
a. 180-360- no
b. 0-45- no
c. 45-90- no
d. 90-180- yes!
What is 1/5 of 52 1/2? Make sure your answer is fully reduced
Answer:
exact form is 21/2, in decimal form is 10.5 and in mixed fraction is 10 1/2
Step-by-step explanation:
The required value is 21/2 in exact form, in decimal form is 10.5 and in mixed numbers is 10 1/2.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiplying built-in functions.
We have to determine the value of 1/5 of 52 1/2
The required value = 1/5 of 52 1/2
Convert the mixed number into the fraction
The required value = 1/5 × 105/2
Apply the multiplication and reduce into the simplest form
The required value = 21/2
The required value = 10 1/2
Convert the mixed number into a decimal,
The required value = 10.5
Hence, the required value is 21/2 in exact form, in decimal form is 10.5 and in mixed numbers is 10 1/2.
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For the in parts A through E, choose the highest level of measurement (or cannot be determine).
A. Temperature of refrigerators ---
Nominal
Ratio
Cannot determine
Interval
Ordinal
B. Horsepower of race car engines ---
Ordinal
Interval
Nominal
Cannot determine
Ratio
C. Marital status of school board members ---
Interval
Nominal
Ordinal
Cannot determine
Ratio
D. Ratings of televisions programs (poor, fair, good, excellent) ---
Ordinal
nominal
Interval
Cannot determine
Ratio
E. Ages of children enrolled in a daycare
Ordinal
nominal
Interval
Cannot determine
Ratio
Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval
The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.
The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.
The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.
The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.
The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.
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Which expression is equivalent to log 20 + 2 log x - log y ? a) log(20x^2y) b) log(10x/y) c) log(20/x^2 y) d) log(20x^2 /y)
OPTION D
log(20x²/y)
is the correct answer
the answer is D!
Step-by-step explanation:
hope it helped!have a nice day!!!
Find det(2A2) if A is 3 × 3 and det(A)=4.
The determinant of 2A^2 if A is 3 × 3 and det(A)=4 is 128.
The Determinant of a matrix when multiplied with any constant is the determinant of the matrix without that constant multiplied to the nth power of the constant, where n is the rank of the matrix.
So, Det(2A²) can be written as 2³× Det(A²)
and we also know if the dimensions of the matrices are the same Det(A × B) is the same as Det(A) × Det(B)
so, further, we can write
Det(2A²)=2³× Det(A)× Det(A)
Also its given that Det(A) = 4
so, putting the value of the given we get,
Det(2A²)=2³× 4 × 4
i.e. Det(2A²) = 128
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what is the probability of obtaining at least one tail when a coin is flipped six times? (enter the probability as a fraction.)
Sandhu lights a candle at 6 pm. It is 30 cm high. At 7pm, the candle is 27 cm high. At 8pm, it is 24cm high. a) How many cm does the candle burn down every hour? b) How high is the candle at 11 pm?
The function his a quadratic function whose graph is a translation 7 units left and 9 units up function f(x) = x². What is the equation of h in vertex form and in the form y = ax²+bx+c?
Warm Up For each translation of the point (–2, 5), give the coordinates of the translated point. 1. 6 units down (–2, –1) 2. 3 units right (1, 5) For each.
Which ordered pairs is a solution to -5x-3y=12
(3, 9)
(-5, 5)
(3, -6)
(-2, -5)
(2, 8)
(-6, 0)
There is two ordered pair greater tan 12 i.e., (2, 8) and (-6,0).
Given,
The equation is :
-5x - 3y = 12
To find the which ordered pair is a solution of above equation.
Now, According to the question:
-5x - 3y = 12
Value is (3, 9) of (x , y)
Substitute in above equation:
-5(3) - 3(9) = 12
-15 - 27 = 12
-42 ≠ 12
Values of (x , y) Equation : -5x -3y = 12
(-5, 5) = - 10 < 12
(3, -6) = -33 < 12
(-2, -5) = -25 < 12
(2, 8) = 14 > 12
(-6, 0) = 30 > 12
Hence, There is two ordered pair greater tan 12 i.e., (2, 8) and (-6,0).
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a father who is 42 has a son and daughter. The daughter is 3 times as old as the son. In 10 years the sum of all their ages will equal to 100. How old are the two sibling at present
the two siblings at present age are Son = 7 years old Daughter = 21 years old.
Therefore, if it's his child, it should be younger than him. That means both age groups are above 42. The number of one must also be three times the number of the other. 7 * 3 = 21, both of which he is under 42, is your answer.
If the age-group sums are X and Y, and the ratio of each age-group is p:q, then you can find the age of Y using the following formula: Age of Y = ratio of Y / total ratio x total years. Age of Y = q/ (p+q) x A.
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Occupants are ____ times more likely to be killed in a crash when not buckled in.
a)2
b)5
c)10
d)100
Occupants are 10 times more likely to be killed in a crash when not buckled in. option c.
Wearing a seatbelt is one of the simplest ways to protect oneself while in a vehicle. When properly worn, it decreases the likelihood of being seriously injured or killed in a collision by as much as 50%. When an individual is not wearing a seatbelt, they are putting their lives at risk. Wearing a seatbelt should be a routine habit whenever an individual sits in a vehicle.
Buckling up is the easiest and most effective way to prevent injuries and fatalities on the road. If drivers, passengers, and children buckle up every time they travel in a vehicle, the likelihood of being killed or injured in a collision is greatly reduced. When occupants of a vehicle do not buckle up, they are 10 times more likely to be killed in a crash. This means that the likelihood of being killed is significantly higher when not wearing a seatbelt.
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Convert the number into standard form, please!
Convert from number format to standard form as a decimal multiplied by a power of 10.
What is standard form?Standard form is a way of writing a number so it is easier to read. It is often used for very large or very small numbers. Standard form is like scientific notation and is typically used in science and engineering.A number is written in standard form when it is represented as a decimal number times a power of 10.As an example, consider the speed of light which travels at about 671,000,000 miles per hour. Written in standard form this number is equivalent to 6.71 x 108.step 1
convert 1.5806*10rais to 4
Convert to decimal notation
1.5806*10^4
The exponent is 4, making it 10 to the power of 4. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 4 time(s)
1.5806 ->15806
step 2
final result
15806
Simplify the expression
1.581*10^4
Simplify exponents and square roots
1.581*10^4
10 ^4 = 10 × 10 × 10 × 10 = 10,000
1.581*10000
Perform any multiplication or division, from left to right:
1.581*10000
15806
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Which of these graphs shows a relationship that is NOT proportional?
(PLEASEEE HELP)
Answer:
b
Step-by-step explanation:
it doesnt
run through the origin
pla shop mathematics
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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i need help on this. (the middle one)
Answer:
The answer is C.
Step-by-step explanation:
ur welcome
PLease hurry
A cubical water tank has a height of 30.7 cm. How much water can the tank hold? (Round your answer to one decimal place; include correct units)
Answer:
Step-by-step explanation:
The tank also has a L = W = 30.7 cm
The amount of water it can hold is V = s^3
s = 30.7
V = 30.7^3
V = 28934.4 cm^3
If you want a different set of units, you are going to have to specify what they are.
Answer:30.7
Step-by-step explanation:
Wsp
Mike has a mass of 50 kg. what's his weight in Newtons?
Answer:
490 newtons
Step-by-step explanation:
if l is parallel to m, find x and y
Answer:
x = 24, y = 15
Step-by-step explanation:
Find attached the step-by-step solution.
Answer:
x = 24y = 15Step-by-step explanation:
we know that (6x - 7) + (3x - 29) = 180 ---- eq. 1
8y + 17 = 6x - 7 -------- eq. 2
find: x and y
solution:
solve x using eq. 1
(6x - 7) + (3x - 29) = 180 combine similar terms6x + 3x = 180 + 7 + 299x = 216x = 216 / 9x = 24substitute x = 24 into eq. 2
8y + 17 = 6x - 78y + 17 = 6(24) - 78y = 114 - 7 - 17y = 120/8y = 15A 6-foot man casts an 8-goot shadow. How tall is a tree that casts a 20-foot shadow?
Answer: 26.6 repeating number or 26 2/3
Step-by-step explanation:
Is `(2,5)` a solution to the system:
`x+y=7`
`2x-3y=-11`
Answer:
the answer is in the picture.. if you need to actually solve the system please tell me and i will send that too
I need help plz.... thanks..
Answer:
20
Step-by-step explanation:
pooled variance =a. SS1 + SS2 / df1 + df2b. SS1 + SS2 / n1 + n2
The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.
The formula for pooled variance is:
pooled variance = (SS₁+ SS₂) / (df₁ + df₂)
where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.
Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in
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HELP ASAP! WILL MARK BRAINLIEST
Answer:
it will be the first the 5th the 2nd and the 3rd
a kite flying in the air has a 94- string attached to it, and the string is pulled taut. the angle of elevation of the kite is . find the height of the kite. round your answer to the nearest tenth.
The height of the kite is approximately 68.4 ft.
To solve the problem, we can use trigonometry. We know that the string is the hypotenuse of a right triangle, with the height of the kite as one of the legs. The angle of elevation, which is the angle between the string and the ground, is also given. We can use the tangent function to find the height of the kite:
tan(46°) = height / 94
Solving for height, we get:
height = 94 * tan(46°)
Using a calculator, we get:
height ≈ 68.4 ft
Therefore, the height of the kite is approximately 68.4 ft.
We use the given angle of elevation and the length of the string to set up a right triangle with the height of the kite as one of the legs. Then, we use the tangent function to relate the angle to the height of the kite. Finally, we solve for the height using a calculator and round to the nearest tenth as requested.
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Complete Question:
A kite flying in the air has a 94-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 46 °. Find the height of the kite. Round your answer to the nearest tenth.
The volume of a cuboid of sides 1/2m,
20 cm, 10 cm is
Answer:
100
Step-by-step explanation:
I multiplied 20, 10, and 1/2
20*10=200 Then you do 200*1/2=200 divided 2 and get 100
HOPE THIS HELPS! =)
What is the angle between the vectors − 2i 3j k and i 2j − 4k?
The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.
v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)
= -2 - 6 + 1 = -7
|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)
=\(\sqrt{(4 + 9 + 1)}\)
=\(\sqrt{14}\)
|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)
= \(\sqrt{(1 + 4 + 16) }\)
= (\(\sqrt{21}\)
θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))
= |A| (-7/21*14)
= |A|(-7/294)
= 137.8 degrees
The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is
\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)
= \(\sqrt{(4 + 9 + 1)}\)
= \(\sqrt{14}\).
The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is
\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)
= \(\sqrt{(1 + 4 + 16)}\)
= \(\sqrt{21}\)
Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.
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