Answer:
There are 60 more girls

Answer:
### Final answer:

### Explanation:

### Learn more about Ratios here:

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.

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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What’s the correct answer for this?

Solve for M in the formula S= C+M. A. M= S+ CB. M= S - CC. M= SCD. M= s/c

If a² + b² = c², then which of the following are also true? Select all that apply.Optionsa² - b² = c²b² + a² = c²c² + a² = b²c² - a² = b²c² - b² = a²

What is the slope of the line 9 x - 3 y equals 10

According to a medical journal, the average daily U.S. diet contains 6,000 mg of sodium. How many grams is this?

Solve for M in the formula S= C+M. A. M= S+ CB. M= S - CC. M= SCD. M= s/c

If a² + b² = c², then which of the following are also true? Select all that apply.Optionsa² - b² = c²b² + a² = c²c² + a² = b²c² - a² = b²c² - b² = a²

What is the slope of the line 9 x - 3 y equals 10

According to a medical journal, the average daily U.S. diet contains 6,000 mg of sodium. How many grams is this?

4x2+3x−3

2x2−7x+7

2x2−3x−3

2x2+3x−3

**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.

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.

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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y-axis

x-axis

x = p

x = -p

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.

O JXM

O JXZ

O HXJ

on edge 2020

An **exterior****angle** of ΔXYZ is ∠HXJ.

The correct option is D.

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.

To learn more about the **angle measure;**

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Answer:

The answer is C, <JXZ.

Step-by-step explanation:

**Answer:**

69

**Step-by-step explanation:**

**Answer:**

69

**Step-by-step explanation:**

The upper **critical value** z₀ of the **hypothesis** is 2.05.

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**.

Learn more about **hypothesis** on:

**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.

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

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