The percentage of boys in the class is 60% and the percentage of girls in the class is 40%.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Total number of students in class = 45
Total number of boys in the class = 27
Then, the percentage of boys in the class will be,
Let the percentage of boys be x.
x% Of 45 = 27
x = (27 × 100)/45
x = 2700/45
x = 60%
Then, total number of girls in the class = 45 - 27 = 18
Assume the percentage of girls in the class be y.
y% Of 45 = 18
y = (18 × 100)/45
y = 1800/45
y = 40%
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Simplify
6 (2x^2-5)=
x= -3
The value of the expression for x=-3 is 78.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 6(2x²-5).
Here, x=-3
Substitute x=-3 in the expression 6(2x²-5), we get
6(2(-3)²-5)
= 6(18-5)
= 78
Therefore, the value of the expression is 78.
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simplify the expression 5x + 6 (x-2) -8 (x-3)A. 19x + 36 B. 19x + 12 C. 3x - 36 D. 3x + 12
Given the expression:
5x + 6 (x-2) -8 (x-3)
Let's simplify the exression using the following steps:
Step 1.
Apply distributive property:
5x + 6x + 6(-2) - 8x - 8(-3)
5x + 6x - 12 - 8x + 24
Step 2.
Combine like terms:
5x + 6x - 8x - 12 + 24
3x + 12
Therefore, the simplified expression is:
3x + 12
ANSWER:
D. 3x + 12
To compare freshmen’s knowledge of mathematics in two departments of a university, a certain professor in Mathematics got a sample of Education and Nursing students and gave a special examination. A sample of 25 Education students has a mean score of 88.50 with standard deviation of 7.5. A sample of 29 Nursing students have a mean score of 90.25 with a standard deviation of 8.2. Is there a significant difference between the two sample means? Use α = .01 level of significance.
There is no significant difference between the mean scores of Education and Nursing students in mathematics.
Is there a significant difference between the mean scores?Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.
Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.
We will use significance level (α) of 0.01.
Given:
Sample mean for Education students (x₁) = 88.50
Sample mean for Nursing students (x₂) = 90.25
Standard deviation for the Education student sample (s₁) = 7.5
Standard deviation for the Nursing student sample (s₂) = 8.2
Sample size for Education students (n₁) = 25
Sample size for Nursing students (n₂) = 29
The t-test statistic for two independent samples is:
t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))
t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))
t ≈ -0.8187
In this case, df = 24.
The critical value for α = 0.01 and df = 24 is approximately ±2.797.
Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.
Therefore, we fail to reject the null hypothesis.
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Which of the following are geometric sequences?
Check all that apply.
Answer:
c , I think :))))))))))))
Answer: C
Step by Step Explanation:
Can not give, sorry
x * 3 < 5
solve for x
Answer:
x=5-3
X=2
×<2 or X=0
that an answer
9= 3 3_4- 2 7_8- b
B?
Answer:
Step-by-step explanation:
9 - 3¾ - 2⅞ = 3⅜
He gave his grandmother 3⅜ pounds of apples.
convert the following ratios in to percentage 35:16
HELP ASAP PLEASE!!!
Multiply:
a^2 +8a + 15 / a^2 + 7a + 12 * 3a +12 / a^2 - 25
Answer:
3/(a -5)Step-by-step explanation:
Simplification
(a^2 +8a + 15) / (a^2 + 7a + 12) * (3a +12) / (a^2 - 25) =(a+3)(a+5)/(a+3)(a+4) * 3(a+4)/(a+5)(a-5) =3/(a -5)Correct option is the last one
Answer:
C
Step-by-step explanation:
Which graph represents 12 = 3x + 4y line a, line b, line c
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
How many ways can 3 of 10 students come first, second and third place is a spelling contest, if there are no ties?
Answer:
Step-by-step explanation:
The number of ways to choose 3 students out of 10 to come in first, second, and third place in a spelling contest, with no ties, is calculated using the combination formula. The combination formula is:
C(n, r) = n! / (r! (n-r)!)
Where n is the total number of items, and r is the number of items to choose. In this case, n = 10 and r = 3.
So, the number of ways to choose 3 students out of 10 is:
C(10, 3) = 10! / (3! (10-3)!) = 10! / (3! 7!) = 10 x 9 x 8 / (3 x 2 x 1) = 120.
Therefore, there are 120 different ways to choose 3 students out of 10 to come in first, second, and third place in a spelling contest, with no ties.
What factor, besides 1, does every even number have?
2
5
10
12
Answer:
2
Step-by-step explanation:
Since they are even numbers, they have to be divisible by 2.
In 5-card poker, the number of outcomes favorable to an event E is given in the table. Find the
probability of being dealt four of a kind or a a straight.
The probability of being dealt four of a kind or a straight is
(Round to 6 decimal places.)
Event E
Royal flush
Straight flush
Four of a kind
Full house
Flush
Straight
Three of a kind
Two pairs
One pair
No pair
Total
# of Outcomes Favorable to E
4
36
624
3744
5108
10,200
54,912
123,552
1,098,240
1,302,540
2,598,960
The probability of being dealt four of a kind or a straight is 0.00416 or 0.416%.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
In 5-card poker, find the probability of being dealt the following hand. Refer to the table.
From the table:
Total number of outcomes = 2598960
Total number of favorable outcomes = 624 + 10200 = 10824
The probability of being dealt four of a kind or a straight
P = 10824/2598960
P = 0.00416
In percentage:
P = 0.416%
Thus, the probability of being dealt four of a kind or a straight is 0.00416 or 0.416%.
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a school needed a total of $3,546 in Supplies for grade 3,4 and 5 if they spilt the supplies evenly how much did they spend on each grade?
Answer: $1.182
Step-by-step explanation: 3.546 divided by 3
Answer:
$1,182
Step-by-step explanation:
I just took the total of $3546 and divided the total by the three grade levels so 3 and I got the answer 3,546. But honestly i'm not sure if it's right lol, so if it's incorrect let me know and I'll work into it more.
Please help . A burglar alarm system has six fail-safe components. The probability of each failing is 0.05. Find the probability that fewer than three will fail. Round to the nearest thousandth.
Answer:
Answer:
0.050
Rounded to the nearest 0.001 or
the Thousandths Place.
Step-by-step explanation:
Explanation
0.05__
You rounded to the nearest thousandths place. The _ in the thousandths place rounds down to 0 because the digit to the right in the ten thousandths place is _.
0.050
When the digit to the right is less than 5 we round toward 0.
0.05 was rounded down toward zero to 0.050
A dairy needs 258 gallons of milk containing 7% butterfat how many gallons each of milk containing 8% butterfat and milk containing 2% butterfat must be used to obtain the desired 258 gallons
Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.
The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.
To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.
For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).
For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).
Since we want the final mixture to contain 7% butterfat, we can set up the following equation:
0.08x + 0.02y = 0.07(258)
Simplifying the equation, we have:
0.08x + 0.02y = 18.06
To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.
Substituting this value into the equation above, we get:
0.08x + 0.02(258 - x) = 18.06
Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.
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Sally is given $850. Every year, she decides to donate 9% of this money to charity until she has none left.
After 34 years, approximately how much money will Sally have left?
Answer:
Step-by-step explanation:
Year 1: $850 * 0.91 = $773.50
Year 2: $773.50 * 0.91 = $704.69
Year 3: $704.69 * 0.91 = $641.95
...
Year 34: (continue the pattern)
We can continue this calculation for each year, but to save time, we can use an exponential decay formula:
Remaining Amount = Initial Amount * (1 - rate)^years
Substituting the values:
Remaining Amount = $850 * (1 - 0.09)^34
Calculating this expression:
Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88
After 34 years, approximately $255.88 will be left with Sally.
A decorative vase is on sale from $80 to $50. What is the
percent change of the price of the vase. Be sure to indicate
if it was a decrease or increase. Show the formula you use to
solve. Round to a whole number.
Since the result is negative, we can say that the price of the vase decreased by 37.5%. Rounding to a whole number, the percent change is 38% (since a 37.5% decrease is approximately equal to a 38% decrease).
What is percent?Percent (often symbolized as "%") is a way of expressing a fraction or a portion of something in terms of hundredths. It is used to describe the relationship between a part and a whole, with the whole being represented by 100%. Percentages are commonly used in many areas of life, such as finance, business, and statistics. They can be used to describe changes in values over time, to compare different quantities or amounts, or to express probabilities or frequencies.
Here,
The percent change in the price of the vase can be calculated using the formula:
percent change = (new price - old price) / old price x 100%
In this case, the old price of the vase was $80 and the new price is $50. Substituting these values into the formula, we get:
percent change = ($50 - $80) / $80 x 100%
percent change = -0.375 x 100%
percent change = -37.5%
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The weight of new puppy is represented by the table. The weight of new puppy is represented by the graph. How can you convert pounds to ounces? Whose dog gains weight faster
Answer: A puppy should begin gaining weight from the day he is born. He should gain between 10-15% of his birth weight each day. But a simple rule of thumb is to expect your pup to gain about 5 ounces per week for small breeds and 2.5 pounds a week for large breeds.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve x^2 + 18x – 19 = 0 by completing the square.
A) x = –1, x = 19
B) x = –9 + 10i, x = –9 – 10i
C) x = –9 + , x = –9 –
D) x = 1, x = –19
Answer:
The answer is D
Step-by-step explanation:
A basketball team lost 10% of the games they played. They played 30 games in all. How many games did they win?
Answer:
They won 27 games
Step-by-step explanation:
10% of 30 is 3,
so 30-3= 27
PLEASE HELP!!!
Triangle ABC has vertices at A(-5,2), B(1,3), and C(-3,0). Determine the coordinates of the vertices for the image of the pre image is translated 4 units right.
A. A’(-9,2),B’(-3,3), C’(-7,0)
B. A’(-4,6),B’(0,7),C’(1,0)
C. A’(-1,2),B’(5,3),C’(1,0)
D. A’ (-5,-2), B’(-1,-1), C’(-3,-4)
The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).
What is translation on a coordinate plane?Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.
During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.
Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.
So,
\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)
\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)
\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)
Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).
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The square below represents one whole.
What percent is represented by the shaded area?
Answer:
52%
Step-by-step explanation:
52 out of 100 grids are shaded ⇔ 52%
Hey can someone pls help me? I’m confused. It says “find the value of x using complementary angels.”
Answer:
x = 9 if there is any confusion, please ask questions
Step-by-step explanation:
so in math, a complementary angle is when two angles add up to 90 degrees.
to find this, you have to do 90-81
90 - 81 = 9
Again asap and sorry for the mess…
Answer:
185 shrubs
Step-by-step explanation:
ratio plant : 1% = 5 : 1%
if the percent of shrubs in the garden is 37%, according to my ratio. every 1% is 5 plants, therefore, 37% = 37 x 5 = 185
A dairy needs 372 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 372 gallons?
Dylan has a pitcher with 1.65 L of orange juice. He pours out 0.2 L
of the juice. Then he adds some sparkling water to the pitcher to
make orangeade. He ends up with 1.9 L of orangeade. Solve the
equation 1.65 -0.2 + x = 1.9 to find the amount of sparkling
water, x, Dylan adds to the pitcher. Show your work.
Answer:
Step-by-step explanation:
fork knife
Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer.
Step-by-step explanation: 2+2=4 +4x8=9
The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 84 square inches. Solve for the dimensions (length and width) of the poster.
Step-by-step explanation:
w = width
2w + 2 = Length
Area = W x L = 84 = w (2w+2)
84 = 2w^2 + 2w
0 = 2w^2 + 2w - 84 Use Quadratic Formula
a = 2 b=2 c = -84
to find
W = 6 then L = 14 inches
Can you identify the domain and range of the functions y=x²-2x-3 and y=-x²+ 4x -1
Answer:
answers for both numbers
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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