The probability of selecting a pupil that studies German but not Russian is given as follows:
0.27 = 27%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
In the context of this problem, we have that the number of students that study at least one of German or Russian is given as follows:
100 - 35 = 65 pupils.
Hence the number of students which study both German and Russian is given as follows:
38 + 54 - 65 = 27 pupils.
Then the number of pupils who study only German is given as follows:
54 - 27 = 27 pupils.
Meaning that the probability is given as follows:
p = 27/100 = 0.27 = 27%.
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please help and explain :)
Answer: Perimeter=90 Area=557.43
Step-by-step explanation:
Perimeter=18x5=90
Area=557.43468
are the following ratios equal. write yes or no. use the theroem that the product of the extremes equals the product means.
The ratios will be equal if the theorem that the product of the extremes equals the product means follows.
Let us understand the equality of ratios through example. The example ratio will be -
7:10 = 21:30
In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.
Product of extremes = 7 × 30
Extremes product = 210
Product of means = 21 × 10
Means product = 210
Since the products are equal, the ratios are also equal.
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The complete question is -
Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.
Ratio = 7:10 and 21:30.
Drag the tiles to the correct locations on the image. Not all the tiles will be used.
The figure is a square, with side lengths as shown.
4√5mm
What are the perimeter and area of the square
The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
To calculate the perimeter and area of the square, we can use the formulas:
Perimeter = 4 * side length
Area = side length * side length
Substituting the given side length of 4√5mm into the formulas, we have:
Perimeter = 4 * 4√5mm = 16√5mm
Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²
Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².
Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.
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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
I took the test on plato.
.Sort the numbers based on the number of significant figures they have.
Drag each tile to the correct location.
1,230
155.6
200
1,245
8.88
22
136
8.880
0.01
20
20.
Let's check the significant figures one by one
\(\\ \sf\longmapsto 1,230=3\)
\(\\ \sf\longmapsto 155.6=4\)
\(\\ \sf\longmapsto 200=1\)
\(\\ \sf\longmapsto 1245=4\)
\(\\ \sf\longmapsto 8.88=3\)
\(\\ \sf\longmapsto 22=2\)
\(\\ \sf\longmapsto 136=3\)
\(\\ \sf\longmapsto 8.880=3\)
\(\\ \sf\longmapsto 0.01=1\)
\(\\ \sf\longmapsto 20=1\)
One Significant figure - 200, 0.01, 20
Two Significant figures- 22, 20.
Three Significant figures- 1,230, 8.88, 136
Four Significant figures- 155.6, 1,245, 8.880
PLATO
The total amount of snowfall last ski season was 50 inches. This season, the total amount was 56 inches. The
percent of snowfall this year is what compared to last year?
Answer:
12% increase compared to last years
Step-by-step explanation:
A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?
The area of the poster in inches is,
⇒ A = 4 inches²
We have to given that;
A rectangular poster is 50 centimeters long and 25 centimeters wide.
Here, 1 centimeter is approximately 0.4 inches
Hence, Lenght = 50 cm
Lenght = 50 x 0.4
= 2 inches
Width = 25 cm
= 25 x 0.4
= 1 inches
Thus, The area of the poster in inches is,
⇒ A = 1 x 4
⇒ A = 4 inches²
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in the expression 2/5 w +55 what is the variable, the coefficient and the constant
The parameters of the expression are given as
25w+55
variable=wcoefficient = coefficient of variable (w)=25constant=55What is the coefficient ?A multiplicative factor in some terms of a polynomial, a series, or an expression is referred to as a coefficient. Although a coefficient is often a number, it may really be any expression. It is possible to refer to the coefficients themselves as parameters in situations when they themselves are variables.
A sign that may stand in for any other item in mathematics is known as a variable. To be more specific, a variable may stand in for a numeric value, a vector, a matrix, a function, the argument of a function, a set, or an individual component of a set.
Generally, the equation for expression is mathematically given as
25w+55
Therefore
variable=wcoefficient = coefficient of variable (w)=25constant=55Read more about constant
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Let X be a random variable that takes values from 0 to 9 with equal probability 1/10. Find the probability distribution of the random variable Y = X mod (4). Find the probability distribution of the random variable Y = 6 mod (X + 1). x mod y = remainder when x is divided by y.
The probability distribution of Y = X mod (4) is: 3/10, 3/10, 2/10, 2/10 and the probability distribution of Y = 6 mod (X + 1) is: 1/10, 1/10, 2/10, 1/10, 2/10, 2/10 , 1/10.
The probability distribution of Y = X mod (4) can be found as follows:
Y = 0, when X = 0, 4, 8
Y = 1, when X = 1, 5, 9
Y = 2, when X = 2, 6
Y = 3, when X = 3, 7
So, the probability distribution of Y = X mod (4) is:
Y = 0, P(Y = 0) = 3/10
Y = 1, P(Y = 1) = 3/10
Y = 2, P(Y = 2) = 2/10
Y = 3, P(Y = 3) = 2/10
The probability distribution of Y = 6 mod (X + 1) can be found as follows:
Y = 0, when X = 5
Y = 1, when X = 0
Y = 2, when X = 1, 6
Y = 3, when X = 2
Y = 4, when X = 3, 7
Y = 5, when X = 4, 8
Y = 6, when X = 9
So, the probability distribution of Y = 6 mod (X + 1) is:
Y = 0, P(Y = 0) = 1/10
Y = 1, P(Y = 1) = 1/10
Y = 2, P(Y = 2) = 2/10
Y = 3, P(Y = 3) = 1/10
Y = 4, P(Y = 4) = 2/10
Y = 5, P(Y = 5) = 2/10
Y = 6, P(Y = 6) = 1/10
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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Consider the following equation.
6y=48
Step 1 of 2 : Find the x- and y-intercepts, if possible.
Solve for x.
x + 14
5x - 74
x = [?]
Answer:
\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\)
x + 14 = 5x - 74 (corresponding angles are equal to each other)
\(x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x\)
Answer:
22
Step-by-step explanation:
Angles x + 14 and 5x - 74 are adjacent angles.
Adjacent angles are equal.
5x - 74 = x + 14
5x - x = 14 + 74
4x = 88
x = 88 / 4
x = 22
1% of 320 grams
what is the answer to this question
Answer:
jojo siwas forehead
Step-by-step explanation:
choose the sentence that complete the fact family like 14÷7=2 7×2=14 14÷2=7 is it a 14×1=14 b 14×2=28 c 2×7=14 d 2×14=28 is it abc or d
Answer: 2x7=14
Step-by-step explanation:
There are only three numbers that go with each equation, all you have to do is eliminate the ones that don't match.
What is the absolute value of 2-9i
Answer:
so we get as,
let, y = 2 - 9i
so the absolute value is |y|
so we get as,
|y| = 2-9i
so the absolute value is |y|
|y|=√ 2 to the 2nd power plus 9 to the second power
so we get as,
|y|=
√81+4=√85
so the value is √85
Example:
| − 2 − i | = √ 5
Explanation:
Absolute value of a complex number a + i b is written as | a + i b | and its value as √a 2 + b 2 .
Hence, absolute value of − 2 − i is √ ( − 2 ) 2 + ( − 1 ) 2 = √ 4 + 1 = √ 5 .
Step-by-step explanation:
Need help will give brainliest and 5 stars!
Answer:
(x+1) (x+6)/(x+7) (x+8)
X+1=0 so x=-1 and -6 respectively on the
x+7=0 so x=-7 and -8 in the
1denominator
Step-by-step explanation:
answer x<-1 and x<-6/
x<-7 x<
7
Select the correct answer from the drop-down menu.
Which term best fits the sentence?
After you make a decision, the next step in the decision-making process is to
whether you made the right choice.
Reset
Next
This step will help you det
Answer:
Step-by-step explanation: bot
help Me out and I’ll give you brainliest
Answer: 5/8
Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.
ILL GIVE 20 POINTS !!!! PLSS HELP ASAP
Answer: 10/40 or 1/4
Step-by-step explanation:
Add up all the amount of rolls, so 10+6+4+8+6+6=40
then add the probability of rolling a 3 or 6 = 10
divide that quantity out of the whole
answer is 10/40 and simplified is 1/4
hope it helps
The coordinates of point A on a grid are (−2, −4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (, −4).
The coordinates of the point B are given as (2, - 4)
What is coordinate geometry?A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Under a reflection in the y- axis
A point (x, y) → (- x, y), hence
A(- 2, - 4) → B(2, - 4)
Therefore the coordinates of the point B are given as (2, - 4)
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Find the midpoint of the line segment from (1,-1) to (2,4)
Answer: (1.5, 1.5)
Step-by-step explanation:
The points on the graph represent both an exponential function and a linear function.
Complete this table by reading the values from the graph. Estimate any function values that are less than one.
x -3 -2 -1 0 1 2 3
Exponential function _____ _____ _____ _____ _____ _____ _____
Linear function _____ _____ _____ _____ _____ _____ _____
At approximately what values of x do both the linear and exponential functions have the same value for y?
We are given two curves on a graph paper and we have to find the y values for the given x.
From the graph we can check for a value of x, what is the value of y from the curve.
x -3 -2 -1 0 1 2 3
Exp 8 4 2 1 0.5 0.25 0.125
Lin. 7.5 6 4.5 3 1.5 0 -1.5
We find that the two have the same values where the two curves intersect.
From the graph we find that near to -3 and near to 2 both have the same values.
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The missing graph is attached below.
Can I please get some help on my math
Answer:
28
Step-by-step explanation:
\(4(3)^{2}+2(-5)-(-2)=36-10+2= 28\)
Hope this helps
Rewrite 9+15 as a product of the GCF and a new sum.
Write an equation for the description. The sum of 15 and a number x is equal to 18.
Answer: 15+x=18
Step-by-step explanation:
Answer:
There is not enough description provided. So i will solve this to the best of my ability.
x+15=y
x=18
[PLEASE HELP] in the function above, the slope of it will be multiplied by -4, and it’s y value of the y intercept will be decreased by only 1 units, which of these following graphs best represent the new function???
Answer:
Z (The one on the bottom right)
Step-by-step explanation:
You said that the y intercept goes down by 1 unit which makes only W and Z possible.
The slope is 1/2 and if you multiply that by -4 the new slope is -2 which means the change in y is -2 every time the change in x is 1. Which perfectly fits Z and if you have any questions please ask me with the comments!
Mme potatana ask the children to count as a whole class from 1 to 20 Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count. in your view support the method that you find important to enhance the strong number sense. Provide appropriate examples for your chosen method.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
In order to enhance strong number sense in children, there are various methods that can be used.
In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.
Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.
The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.
This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.
Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:
1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.
2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.
3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.
Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.
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what is the answer to d and e?
Answer:
multiply!!
Step-by-step explanation:
just multiply for number 4 :)
help me again and explain how you got the answer thans
Let Q be an orthogonal matrix with an eigenvalue λ1=1. Let x be an eighenvector beloinging to λ1. Show that x is also an eigenvector of QT
If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).
To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.
Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.
Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.
Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:
QT * (Q * x) = QT * (λ1 * x)
Applying the associative property of matrix multiplication, we have:
(QT * Q) * x = λ1 * (QT * x)
Using the fact that Q * QT = I, we can simplify further:
I * x = λ1 * (QT * x)
Since I * x equals x, we have:
x = λ1 * (QT * x)
Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:
x = λ2 * x
where λ2 = λ1 * (QT * x).
This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).
In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).
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You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the median? Select all that apply.
A) 68, 73, 77, 75, 23, 62 B) 84, 73, 28, 91, 93, 77 C) 24, 22, 21, 19, 23, 25 D) 18, 13, 56, 21, 12, 19 E) 77, 15, 81, 83, 84, 72
The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.
What is median of a data set?The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.
For example the median of option A) is calculated as follows:
Data set= 23,62,68,73,75,77
Median = 68+73/2 = 70.5
Therefore the median is between 68 and 73 which is = 70.5
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