sure what’s the problem
The perimeter of a triangle is 74 cm. The longest side is 6 cm less than the sum of the other two sides. Twice the shortest side is 6 cm less than the longest side. Find the length of each side of the triangle.
Step-by-step explanation:
The longest side of the triangle is equal to the sum of the other two sides. Therefore, the longest side = (x + y), where x and y are the lengths of the other two sides.
We also know that twice the shortest side is 6 cm less than the longest side, which means 2x = (x + y) - 6.
So we can solve for x and y:
x + y = 74
2x = (x + y) - 6
Substituting for (x + y) in the second equation, we have:
2x = 74 - 6
2x = 68
x = 34
Substituting x into the first equation, we have:
y = 74 - 34
y = 40
Therefore, the lengths of the sides of the triangle are 34 cm, 40 cm, and 74 cm.
Determine the slope of the line that has the following coordinates: (5, 9)(11, - 3)
Answer:
\( x_1 = 5, x_2 =11, y_1 =9, y_2 = -3\)
The slope can be founded with this formula:
\(m =\frac{y_2 -y_1}{x_2 -x_1}\)
And replacing we got:
\( m =\frac{-3 -9}{11-5}= -2\)
And the best answer for this case would be :
\(m=-2\)
Step-by-step explanation:
For this case we have the following two points given:
\( x_1 = 5, x_2 =11, y_1 =9, y_2 = -3\)
The slope can be founded with this formula:
\(m =\frac{y_2 -y_1}{x_2 -x_1}\)
And replacing we got:
\( m =\frac{-3 -9}{11-5}= -2\)
And the best answer for this case would be :
\(m=-2\)
A consumer products company is formulating a new shampoo and is interested
in foam height (in millimeters). Foam height is approximately normally distributed and has a
standard deviation of 20 millimeters. The company wishes to test H0 : µ = 175 millimeters vs
H1 : µ > 175 millimeters, using the results of n = 10 samples.
a) Find the type I error probability α if the critical region is ¯x > 185.
b) Find the boundary point of the acceptance region if α = 0.05
Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.
a) To find the type I error probability, we need to find the probability of rejecting the null hypothesis (H0) when it is actually true. In this case,
Since the foam height is approximately normally distributed with a standard deviation of 20 millimeters and we are taking a sample of size n = 10, the standard error of the mean is:
20 : \(\sqrt{10}\) = 6.3 millimeters.
This means that the mean of the sampling distribution of the mean is approximately normally distributed with a mean of 175 millimeters and a standard deviation of 6.3 millimeters.
To find the probability of rejecting the null hypothesis when it is actually true, we can use a z-score.
In this case, the z-score for a value of 185 millimeters is:
(185-175)/6.3 = 1.6
We can use a z-table or a calculator to find the probability of getting a value greater than 1.6 standard deviations above the mean in a normal distribution. This probability is equal to 1 - the probability of getting a value less than or equal to 1.6 standard deviations above the mean, which is:
1 - 0.9495 = 0.0505.
Therefore, the type I error probability, or the probability of rejecting the null hypothesis when it is actually true, is 0.0505 if the critical region is x > 185.
b) To find the boundary point of the acceptance region if alpha = 0.05, we need to find the critical value that corresponds to a type I error probability of 0.05.
To find the critical value, we can use the z-score formula:
z = (x - mean) / standard deviation
We can rearrange this formula to solve for x:
x = z * standard deviation + mean
Since we want the probability of getting a sample mean greater than x to be 0.05, we can use a z-table or a calculator to find the z-score that corresponds to a probability of 0.05 in a normal distribution. This z-score is approximately 1.645.
Substituting this value into the formula above, we get:
x = 1.645 * 6.3 + 175 = 185.095
Therefore, the boundary point of the acceptance region if alpha = 0.05 is approximately 185.095 millimeters.
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tell whether the transformation appears to be a rigid motion. explain
Answer:
If you turn it or flip it over or move it it is essentially the same shape. If you try to stretch the paper or fold it you change what the shape is so it is not a rigid motion. Since the two circles are not the same size then it is not a rigid motion
Find the equation of the line that
3
is perpendicular to y ===x+1
and contains the point (9,12).
4
4
Y = 3 x + [ ? ]
Step-by-step explanation:
ATTACHED IS THE SOLUTION!!31 is what percent of 37?
Answer: The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.
Using the Pythagorean Theorem, find the side lengths of the triangle above. Choose all that apply.
Answer:
4 units
5 units
6.4 units
Step-by-step explanation:
we have two catheti, one measures 4 units and one measures 5 units, with Pythagoras we find the hypotenuse
hypotenuse = √(4²+5²)
hypotenuse = √(16 + 25)
hypotenuse = √41
hypotenuse = 6.4 units
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
Step-by-step explanation:
8x13 kkkxkgkgxkgxkkkxkkk
Find the inverse of the matrix (4, 2) (1, 2) if it exists
(!!EXTRA POINTS!!)
The measure of an angle is two times the measure of its complementary angle. What is the measure of each angle?
Answer:
30 and 60 degrees
Step-by-step explanation:
30 and 60 are complementary angles. 60 is two times the measure of its complementary angle, or 30. 60+30=90.
Complementary angles are angles that add up to 90 degrees.
Angle one = x
Angle two = 2x
2x + x = 90 degrees
Combine like terms.
3x = 90 degrees.
Divide both sides by 3
x = 30
Angle one = x = 30 degrees
Angle two = 2x = 2(30) = 60 degrees.
What is the name of these lines?
Answer:
perpendicular lines
Step-by-step explanation:
The following transactions occurred during July:
Received $1,300 cash for services performed during July.
Received $6,750 cash from the issuance of common stock to owners.
Received $650 from a customer as payment for services performed during June.
Billed $4,250 to customers for services performed on account in July.
Borrowed $3,000 from the bank and signed a promissory note.
Received $1,750 from a customer for services to be performed during August.
As a result of these transactions, what is the amount of the increase to the Cash account?
Multiple Choice
$9,200
$17,700
$13,450
$3,700
Answer:
13,450 YAN po yung answer ma'am #CARRY ON LEARNING
Is this true or false? Explain your thinking.
4(5 +3) =(4 x 5) + (4 x 3)= 20 +12
Answer:
TrueStep-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
GIVEN
10 points. please answer
The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°
What are similar triangles?Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.
From the diagram shown:
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
20 + 105 + ∠Z = 180
∠Z = 55°
Since triangle XYZ and triangle GHI are similar, hence:
∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°
The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°
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2. In the diagram below, set I represents rational numbers, set II represents integers, and set III represents whole numbers. Shade the values that belong in set II. 05 -0.5 13.2 24 0 - 5 10 2 -9.0 35 ] 1 -4.91 I II III
The information about the rational numbers and integers shows that the correct option is C.
How to explain the information?It should be noted that rational numbers are numbers where we can write as a fraction of two integers. Any rational number is in the form a/b where a,b are integers and b is nonzero.
Terminating decimals can be written as a rational number. Something like 3.1 is equivalent to 31/10.
Of the four answer choices, only choice C is correct.
Choice A has the value '3' as a rational number, but it doesn't have it in the set of integers as well. So that's why choice A is incorrect.
Choice B has -3.4 in the set of integers, which is not correct. Integers do not have any decimal portion. The same applies to choice D also. We can rule choices B and D out.
Therefore, the correct option is C.
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write in slope intercept for slope being -5/7 and passes through (-4,-5)
Answer:
y = -5/7x - 55/7
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define
Slope m = -5/7
Random point (-4, -5)
y = -5/7x + b
Step 2: Find y-intercept b
-5 = -5/7(-4) + b
-5 = 20/7 + b
b = -55/7
Step 3: Write linear equation
y = -5/7x - 55/7
Prove the following this:The number of left cosets of a subgroup is equal to the number of its right cosets?
To prove: The number of left cosets of a subgroup is equal to the number of its right cosets.
Proof: Let H be a subgroup of a group G. Let g be an element of G. Consider the map f: H→ gH defined by f(h) = gh for all h in H. We claim that f is a bijection from H to gH.
First, we show that f is injective. Suppose f(h1) = f(h2) for some h1, h2 in H. Then gh1 = gh2, which implies that h1 = h2, by left cancellation law. Therefore, f is injective.
Next, we show that f is surjective. Let gh be an element of gH. Then h is an element of G, since gH is a subset of G. Since H is a subgroup of G, it follows that gh is an element of gH. Therefore, f(h) = gh, which shows that f is surjective.
Hence, f is a bijection from H to gH. Therefore, the number of left cosets of H is equal to the number of right cosets of H.
What kind of angles are 1 and 5 in the picture below?
A. vertical
B. corresponding
C. exterior
D. alternate interior
Based on the angles given of 1 and 5, the type of angles that they are is B. Corresponding angles.
What are corresponding angles?Corresponding angles are angles that form as a result of a parallel line, or parallel lines being intersected by transverse lines. As a result, the same angles are created in certain instances.
When the angles given appear in the same position on the different transverse and parallel lines, then they are corresponding.
This means that angles 1 and 5 are corresponding angles because they appear in the same position.
In conclusion, the angles are corresponding.
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i start with y, add 5 and then, double the result
Answer:
2y + 10Step-by-step explanation:
i start with y, add 5 and then, double the result
y add 5
y + 5 double the result
(y + 5) × 2 solve
2y + 10
or
(y + 5) × 2 =
2y + 10
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
HELP ASAP PLEASE! I tried inputting the numbers into the standard deviation equation but I did not get the right answer to find z. Can someone please help me? Thank you for your time!
Answer:
Z = -1.60
it is low ... it appears that for this problem 2 standard deviations below must be reached to be considered "unusual"
Step-by-step explanation:
67−2(10÷2∙5) − 3^2 |2−5|+−5
Answer:
-15
Step-by-step explanation:
Simplify the expression.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Find the probability of rolling a number less
than 3 on a die.
Pls help
Step-by-step explanation:
When a die is rolled, here it's Total possible outcome is= 6
and sample space is = 2 ( i.e. 1 & 2)
So. Probability of getting less than 3 = 26
=13
That's it
HELP PLEASE IM BAD AT MATH ILL GIVE 20 POINTS
Mark deposit $ 200 into an account that pays an interest rate 3.5% compounded annually. He doesn't add or remove from his account for 4 years how much money will markbhave in 4 years
Answer:
30,012.5
Step-by-step explanation:
We power the number by itself for the past years so in this it will be 3.5 powered by itself four times equaling 150.0625 multiplied by the first deposit which is 200 so 200*150.0625= 30,012.5
Hope this helps
En cierto laboratorio se cultiva la cepa de una bacteria, causal de múltiples problemas. Con fin de determinar la rapidez de reproducción de dicha bacteria, esta se coloca en un medio de crecimiento y condiciones favorables. La población existente es de 250 bacterias y se observa que cada hora se duplica la cantidad
The exponential function giving the number of bacteria after x hours is given as follows:
\(y = 250(2)^x\)
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = 250, b = 2.
Hence the function is given as follows:
\(y = 250(2)^x\)
Missing InformationThe problem asks for the exponential function giving the number of bacteria after x hours is given as follows:
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Olivia has 30 pencils. She wants to know how many groups of 5 pencils she can make. How can Olivia use multiplication or division to solve this problem?
Answer:
6 groups
Step-by-step explanation:
Division: 30/5 = 6
Multiplicatio: 6 times 5 = 30
hope it helps, have a nice day~
Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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g (x)=√-3x+6
Look at photo please
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).