Answer:
15
Step-by-step explanation:
The greatest common factor of 45 and 60 is 15.
What is the slope of the line represented by the equation y = -1/2x + 1/4
Answer:
Hey there! The answer to your question will be below
Step-by-step explanation:
The answer to your question is -1/2
-1/2x + 1/4
= -1/2
Hope that helps
By:xBrainly
What is the sum?
StartFraction x Over x + 3 EndFraction + StartFraction 3 Over x + 3 EndFraction + 2 Over x + 3 EndFraction
Five-thirds
StartFraction x + 5 Over x + 3 EndFraction
StartFraction x + 5 Over 3 x + 27 EndFraction
StartFraction 6 x Over x + 3 EndFraction
Answer:
4 i think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given BCM=ZYR find each missing measure
Answer:
Step-by-step explanation:
Since, ΔBCM ≅ ΔZYR,
∠B ≅ ∠Z
∠C ≅ ∠Y
∠M ≅ ∠R
And BC ≅ ZY
CM ≅ YR
BM ≅ ZR
a). CM = YR = 11 m
b). BM = RZ = 15 m
c). YZ = BC = 8 m
d). m∠B = m∠Z = 45°
e). m∠M = 180° - [m(∠B) + m(∠C)]
= 180° - (45 + 103)°
= 180° - 148°
= 32°
f). m∠Y = m∠C = 103°
The side lengths are as follows: YZ is 8, BM is 15, and CM is 11. and angle B has a measure of 45 degrees. The angle C is 103 and the angle m is 32.
What is a Congruent triangle?
Congruent triangles are two triangles that are the same size and shape. They remain congruent if we flip, turn, or rotate one of two congruent triangles. If the sides of two triangles are the same, they must have the same angles and thus be congruent.
Congruent triangles have equal corresponding sides and angles
The measure of the side lengths are: YZ = 8,BM = 15 and CM = 11
The measure of the angles is angle B = 45. angle C = 103 and angle m =32
The given parameter is:
Tri angle BCM = Triangle ZYR
This means that triangles BCM and ZYR are congruent.
So, we have the following congruent sides
YZ = CB
BM = ZR
CM = YR
so, the measure of the side lengths are:
YZ = 8
BM = 15
CM = 11
Also, we have the following congruent angles
angle B = angle Z
angle C = angle Y
angle M = angle R
the measure of the angles are
angle B = 45
angle Y = 103
The measure of angle M is calculated using:
∠M + ∠C + ∠B = 180
∠M = 32
Therefore, The measure of the side lengths is: YZ is 8, BM is 15 and CM is 11. and The measure of the angles is angle B is 45. angle C is 103 and angle m is 32.
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Please solve the question below 1
Answer:
A
Step-by-step explanation:
Find the mean:
Day 1: 2
Day 2: 1
Day 3: 4
Day 4: 5
Day 5: 0
Day 6: 7
Mean = \( \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 \)
This does not exceed a daily mean of 3.5 hours which was set by her mom as a guideline.
Therefore we can conclude that:
"Chawrdi complied with the guideline because the mean number of hours played is \( \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 \).
solve the following for x
Answer:
x = 27
Step-by-step explanation:
\(\displaystyle 4x^{\frac{2}{3}}-5=31\\4x^\frac{2}{3}=36\\x^{\frac{2}{3}}=9\\x=9^\frac{3}{2}\\x=27\)
insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.
Answer:
2,6,18,54
How I got this answer:
Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.
step by step:
2×3=6
6×3=18
18×3=54
The common ratio is 3.
b) The Median and Mode of the following wage distribution are known to be $33.5 and $34 respectively. Three frequency values from the table are, however, missing. Find the missing values. Wages (in $) 0-10 10 - 20 20 - 30 30 - 40 40 - 50 50-60 60-70 Frequencies (f) 10 10 ? ? ? 6 230 repsectively
The missing values are 60, 100 and 40 if the Median and Mode of the wage distribution are known to be $33.5 and $34 respectively
Wages (in Rs)_freq____ CF
0-10________4___________4
10-20_______16________20
20-30_______x________20+x
30-40______y_________20+x+y
40-50______z________20+x+y+z
50-60______6_______26+x+y+z
60-70______4______30+x+y+z
Since total 230
So, 30+x+y+z=230
x+y+z=200
Mode =34
Median = 33.5
By solving the equations we get x=60, y=100 and z=40
Hence, the missing values are 60, 100 and 40
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Let f (x) = x - 4 . Graph g(x) = f (5x)
Choose the description of the transformation from the graph of f to the graph of g.
A.) The graph of g is a horizontal stretch of the graph of f by a factor of 5.
B) The graph of g is a horizontal shrink of the graph of f by a factor of 1/5
C) The graph of g is a vertical stretch of the graph of f by a factor of 5
D) The graph of g is a vertical shrink of the graph of f by a factor of 1/5
And what points would be plotted on a graph?
The graph of g(x) is on the image at the end, and the correct option for the transformation is B.
Which is the transformation applied?We define a horizontal dilation of scale factor k as:
g(x) = f(k*x)
if k > 1, we have a stretch.
if 0 < k < 1, we have a shink of scale factor 1/k
Here we have:
g(x) = f (5x) = 5x - 4
We can notice that k = 5, then we have a stretch, thus, the correct option is B.
The graph of function g(x) can be seen in the image at the end.,
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Which of the following points satisfies y < 3x - 6?
(2, -4)
(1,0)
The point (2,-4) satisfies y < 3x - 6
AZ Vocabulary
1. A number line shows numbers in order using a scale.
On the number line below, the distance between 0 and 1 is divided
into 5 equal parts.
Each part is of the whole.
9000
Label the number line.
0
1
Each part of the whole is 1/5 or 0.2.
What is number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
The distance between 0 and 1 is divided into 5 parts.
This means,
Each part.
= 1/5
= 0.2
We see that,
The distance between 0 and 1 is 1.
i.e
1 - 0 = 1
And,
Since it is divided into 5 parts.
1 part = 1 ÷ 5 = 1/5
And,
1/5 + 1/5 + 1/5 + 1/5 + 1/5
= 5/5
= 1
Thus,
Each part of the whole is 1/5 or 0.2.
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random sample of n equal to 25 scores is selected from a normally distributed population with mu equal to 52 and sigma equal to 12. what is the probability that the sample mean will be less than 58
There is a 0.9994 percent probability that the group mean will be less than 58.
To find the probability that the sample mean is less than 58, we need to calculate the z-score for this sample mean and find the corresponding probability from the standard normal distribution.
The formula for calculating the z-score is:
z = (x - μ) / (sigma / √(n))
where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.
Substituting the given values, we get:
z = (58 - 52) / (12 / √(25))
z = 3.33
Now we need to find the probability that a z-score less than 3.33 would occur by chance. From a standard normal distribution table, we find that the area to the left of a z-score of 3.33 is approximately 0.9994.
Therefore, the probability that the sample mean will be less than 58 is approximately 0.9994. This means that in 99.94% of random samples of size 25, the sample mean will be less than 58.
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Which of these is not a possible r-value
Answer:
1.75
I believe the correct answer is option D, a value of greater than 1 is not a possible value of r or the correlation coefficient in statistics. It is a measurement of the direction and strength of relationship between variables. Its value would only have a range of positive one to negative one.
Step-by-step explanation:
This is an answer from another brainly, the same question was asked and answered.
Answer:
D
Step-by-step explanation:
Anything greater than 1 is not possible
Carrie has a 10-ft plank of wood. She wants to cut 3 pieces that are each 2 ⅔ feet long from the plank. How long will the plank be after she cuts off the three pieces?
Answer:
2ft
Step-by-step explanation:
(3)2 2/3= 8
10-8 = 2ft left
Subtraction is a mathematical operation that reflects the removal of things from a collection. The length of the plank after Carrie cuts off the three pieces is 2 ft.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given that Carrie has a 10-ft plank of wood. She wants to cut 3 pieces that are each 2 ⅔ feet long from the plank. Therefore, the length of the plank after she cut off the three pieces is,
Length of the plank afterward = 10ft - 2⅔ ft - 2⅔ ft - 2⅔ ft
= 10ft - 2.6667 ft - 2.6667 ft - 2.6667 ft
= 2 ft
Hence, the length of the plank after Carrie cuts off the three pieces is 2 ft.
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} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
The numbers are 1 and 8.
We have,
Let's assume the lesser number as "x" and the greater number as "8x".
According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:
8x - x = 5x + 2
Simplifying the expression:
7x = 5x + 2
Subtracting 5x from both sides:
2x = 2
Dividing both sides by 2:
x = 1
So, the lesser number is 1 and the greater number is 8 times that, which is 8.
Therefore,
The numbers are 1 and 8.
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Is landing on a number less then 10 on a 6 sided dice impossible?
Answer:yes
Step-by-step explanation:
if you have two dice one dice can land on a 4 and 6
What translation would map C onto A?
A. (x – 7, y + 3)
B. (x + 3, y – 7)
C. (x – 3, y + 7)
D. (x + 7, y – 3)
Answer:
A
Step-by-step explanation:
consider the coordinates of points C and A
C (4, - 1 ) and A (- 3, 2 )
4 → - 3 in the x- direction is - 7
- 1 → 2 in the y- direction is + 3
then the translation rule is
(x, y ) → (x - 7, y + 3 )
Write 10,100,or 1,000 to make each statement true. C. 1,000,000 is-------------times greater than 100,000.
10 makes the statement true
1,000,000 is 10 times greater than 100,000.
Given :
We use 10 or 100 or `1000 to make each statement true
1,000,000 is-------------times greater than 100,000.
Lets multiply 100,000 by 10 or 100 or 1000 and check
\(100,000 \cdot 10= 1,000,000\\100,000 \cdot 100= 10,000,000\\\\100,000 \cdot 1000= 100,000,000\\\)
From this we can see that
1,000,000 is 10 times greater than 100,000.
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Find the length x.
3
6
3.5
Answer:
X = 7
Step-by-step explanation:
If you look you can see that the middle line has 6 and 3.
3 is half of 6 right?
So this means that 3.5 is half of whatever x is.
Just multiply 3.5 by 2 to find x.
(3.5)(2) = x
x = 7
Therefore, x is equal to 7.
I hope this helps!!
- Kay :)
A family is planning their vacation to Disney World. They will drive from a small town outside New Orleans,
Louisiana, to Orlando, Florida, a distance of 700 miles. They plan to average a rate of 55 mph. How long will this
trip take?
The time taken for the trip will be 12.7 hours.
How to calculate the value?It should be noted that time taken is calculated as:
Time = Distance / Speed
Distance = 700 miles
Speed = 55 mph
Time = 700/55
Time = 12.7 hours.
Therefore, the time taken for the trip will be 12.7 hours.
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...................................................................
Answer:
29 degrees
Step-by-step explanation:
Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees
A rectangle with the dimensions of 2 feet
by 8 feet is similar to a rectangle with the
dimensions of
А 4 feet by 16 feet
B. 6 feet by 12 feet
C 12 feet by 32 feet
D 22 feet by 28 feet
Given rectangle: 2 feet by 8 feet. Similar rectangle: Option A (4 feet by 16 feet).
Use the concept of the rectangle defined as:
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Given that,
Rectangle dimensions: 2 feet by 8 feet
And here are the options provided:
A) 4 feet by 16 feet
B) 6 feet by 12 feet
C) 12 feet by 32 feet
D) 22 feet by 28 feet
To determine if two rectangles are similar,
Compare their corresponding side lengths.
In this case,
A rectangle with dimensions 2 feet by 8 feet.
After simplifying it we can write 1:4
Let's check each option to see if it matches the similarity:
A) 4 feet by 16 feet:
The ratio of the corresponding side lengths is 2:8, which simplifies to 1:4. However, the given rectangle has side lengths of 4:16,
Which simplifies to 1:4 as well.
So, option A is similar to the given rectangle.
B) 6 feet by 12 feet:
The given rectangle has side lengths of 6:12,
Which simplifies to 1:2.
So, option B is not similar to the given rectangle.
C) 12 feet by 32 feet:
The given rectangle has side lengths of 12:32,
Which simplifies to 3:8.
So, option C is not similar to the given rectangle.
D) 22 feet by 28 feet:
The given rectangle has side lengths of 22:28,
Which simplifies to 11:14.
So, option D is not similar to the given rectangle.
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93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?
What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
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The curvature of a circle is inversely proportional to its radius. What is the exact circumference of a circle with one-third the curvature of a circle of radius 1?
The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units
What is circumference ?
The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.
If a circle has a radius of 1,
the curvature is inversely proportional to this
So, the curvature= 1
A circle with a curvature of 1/3 :
radius=3
Thus, the circumference of the circle = 2 *π * radius
= 2*π * 3
= 6π
≈ 18.85 units
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C Clodi Que Significan las siglas SGR?
Answer:
Es el acronimo de la (Contraloría General de la República
Step-by-step explanation:
Espero ayudarte suerte
Significado de SGR. El significado de la sigla SGR es el acrónimo de Sociedades de Garantía Recíproca. El significado de la sigla SGR es el acrónimo de sociedad de garantía recíproca y pertenece a la categoría Europa. El significado de la sigla SGR es el acrónimo de Sociedad de Garantías Recíprocas.
27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 35 college students are randomly selected, find the probability that
a. Exactly 9 of them major in STEM.
b. At most 11 of them major in STEM.
c. At least 11 of them major in STEM
The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.
The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.
The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.
a. Exactly 9 of them major in STEM.
In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:
P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶
where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.
b. At most 11 of them major in STEM.
To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.
The probability of at most 11 students majoring in STEM can be calculated as follows:
P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.
c. At least 11 of them major in STEM.
The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:
P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)
Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:
P(X >= 11) = 1 - P(X < 11) = 31.8%
Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.
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10÷2[500÷5{6 + (21+7-24)}}
can any one ????
Answer:
5,000
Step-by-step explanation:
=10÷2[500÷5{6+4}
=10÷2[500÷5×10]
=10÷2[100×10]
=10÷2×1000
=5×1000
=5000
According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge drinking" behavior, having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking.
Required:
Using the most conservative estimate, what sample size would be required to reduce the margin of error to 2 percentage points?
Answer:
The sample size required is 2188.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
\(CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)
The margin of error for this interval is:
\(MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)
The information provided is:
X = 162
n = 462
MOE = 0.02
Assume the confidence level as 95%.
Compute the sample proportion as follows:
\(\hat p=\frac{X}{n}=\frac{162}{462}=0.351\)
The z-critical value for 95% confidence interval is:
\(z_{0.025}=1.96\)
Compute the sample size required as follows:
\(MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\)
\(n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\)
\(=[\frac{1.96\times\sqrt{0.351(1-0.351)}}{0.02}]^{2}\\\\=2187.781596\\\\\approx 2188\)
Thus, the sample size required is 2188.
Which graph is an exponential growth model?
А
В
С
Answer:
The graph that have an exports growth model is A.
A salesperson earns $99 per day, plus a 9% sales commission. Find a function that
expresses her earnings as a function of sales, and use it to compute her earnings if the
total sales were $999. The salesperson would take home $___ for the day?
$188.00
$188.91
$188.99
$189.99
Answer:
$188.91
Step-by-step explanation:
$999*.09=$89.91
$89.91+$99=$188.91