There are 420 students . The ratio from girls to boys is 4- 3 . How many more girls?

Answers

Answer 1
Answer: There are 60 more girls
Answer 2
Answer:

Final answer:

There are 420 students divided into 7 parts due to the ratio of girls to boys being 4:3. With one part totaling 60 students, there are 240 girls and 180 boys. Thus, there are 60 more girls than boys.

Explanation:

To solve this problem, you need to understand the concept of ratios. In this case, the ratio of girls to boys is 4:3. This means that for every 4 girls, there are 3 boys. If we add the two parts of the ratio together, we get 7 parts. This means that the total number of students, which is 420, is to be divided into 7 parts.

So, one part of this ratio is equal to 420 divided by 7, which equals 60 students. Since the ratio claims there are 4 parts of girls and 3 parts of boys, to find out the numbers of girls and boys, we multiply each part of the ratio by 60. Hence, the total number of girls is 4 multiplied by 60, which equals 240 and the number of boys is 3 multiplied by 60, which equals 180.

Therefore, the difference in number between girls and boys is 240 minus 180, which equals 60. So there are 60 more girls than boys.

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Simplify.(3x2−2x+2)−(x2+5x−5)




4x2+3x−3

2x2−7x+7

2x2−3x−3

2x2+3x−3

Answers

Answer:

2x2+3x-3

Step-by-step explanation:

The first thing you want to do is find all the X2"s and add those together and that looks like this 3x2+(-x2) which would be 2x2. Then you want to find all of the x's and add them together which looks like this -2x+5x which is 3x. Then you find all the whole numbers without a variable and that's 2-5 which equals to be -3.

Final answer:

To simplify the given expression, rewrite it without parentheses changing the signs of the terms being subtracted. Then, combine like terms. The simplified expression is 2x² - 7x + 7.

Explanation:

To solve this problem, we must subtract the terms in the second parenthesis from the corresponding terms in the first.

Step 1: First, we rewrite the expression without parentheses, changing the signs of the terms in the second set of parentheses because it is being subtracted:
3x² - 2x + 2 - x² - 5x + 5

Step 2: Next, we collect and combine like terms.
3x² - x² - 2x - 5x + 2 + 5 = 2x² - 7x + 7

Thus, the simplified expression is 2x² - 7x + 7.

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T he equation for a parabola with directrix y = –p and focus (0, p) is:1.What is the parabola’s line of symmetry?

y-axis
x-axis
x = p
x = -p

Answers

The equation for a parabola with directrix y = –p and focus (0, p)

The distance between vertex and directrix is P

Also the distance between vertex and focus is also P

Focus (0,p) so focus lies on y axis

Directrix line is paralled to focus point

So Directex crosses the x axis .

Hence line of symmetry lies is the y-axis.

The graph is attached below.


Which represents an exterior angle of triangle XYZ?O LXZ
O JXM
O JXZ
O HXJ

on edge 2020

Answers

An exteriorangle of ΔXYZ is ∠HXJ.

The correct option is D.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

As per the provided diagram, the exterior angles in the ΔXYZ are:

∠LXH,

∠MXJ,

∠HXJ,

∠OYK,

∠GZN,

∠MXZ,

∠YXL,

∠KYZ,

∠GZY.

From the given choices, ∠HXJ is an exterior angle of ΔXYZ.

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Answer:

The answer is C, <JXZ.

Step-by-step explanation:

69 +69 -69 / 69 * 69

Answers

Answer:

69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

A hypothesis will be used to test that a population mean equals 7 against the alternative that the population mean does not equal 7 with known variance σ. What are the critical values for the test statistic Upper Z Subscript 0 for the significance level of 0.04? Round your answer to two decimal places (e.g. 98.76).

Answers

The upper critical value z₀ of the hypothesis is 2.05.

How to explain the hypothesis?

From the information given, it can be noted that this is a two-sided test. In this case, the critical values are the values of z that determine the boundaries of whether one should reject the null hypothesis or shouldn't.

Since the significance level is 0.04, it simply implies that there is a p-value of 0.02. Then, the next thing is to check the normal distribution table, and this corresponds to the z value of 2.05.

In conclusion, the correct option is 2.05.

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Answer:

The upper critical value z₀ is 2.05.

Step-by-step explanation:

For a two-sided test like this (the mean can be significantlt greater or smaller than 7 to reject the null hypothesis), the critical values are the values of z that determine the boundaries of rejecting or not the null hypothesis.

If the significance level is 0.04, it means that there is a P-value of 0.02 for z larger than the upper critical value z₀.

P(z>z_0)=\alpha /2= 0.02

If we look up in a normal distribution table, the z value that corresponds to this probability is z=2.05.

A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and free-throws are worth 1 point. He scored four more 2-point baskets than he did 3-point baskets. The number of free-throws equaled the sum of the number of 2-point and 3-point shots made. How many free-throws, 2-point shots, and 3-point shots did he make?

Answers

The number of free-throws, 2-point shots, and 3-point sho ts he made are;

free-throws = 8

2 points = 6

3 points = 2

Let the number of 3 points basket be x

He scored four more 2-point baskets than he did 3-point baskets. Thus;

y = x + 4

number of free-throws equaled the sum of the number of 2-point and 3-point sho ts made. Thus;

z = x + x + 4

z = 2x + 4

Thus;

Total 3 points = 3x

Total 2 points = 2(x + 4)

Total fr ee points = 2x + 4

Since he scored a total of 26 points, then;

Answer:

3 points = 2

2 points = 6

1 point = 8

Step-by-step explanation:

Given that:

Total point scored = 26

Let number of 3 point basket = x

Number of 2 point basket = x + 4

Number of free throws = x + x + 4 = 2x + 4

Hence,

Total 3 points = 3x

Total 2 points 2(x + 4)

Total free throw points = 2x + 4

3x + 2(x + 4) + 2x + 4 = 26

3x + 2x + 8 + 2x + 4 = 26

7x + 12 = 26

7x = 26 - 12

7x = 14

x = 2

Number of 3 points = x = 2

2 points = (x+4) = 2+4 = 6

1 point = (2x+ 4) = 2(2) + 4 = 8