what is the prime factor of 350

Answer:

a. 5

Step-by-step explanation:

9 - 4 = 5

Answer:

the distance between (-3, 9) and (-3, -4) is 13

(the difference between -4 and 9 is 13)

0 and 2

f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.

−1 −7/2 −9/2

0 −3 −3

1 −2 −3/2

2 0 0

3 4 3/2

4 12 3

5 28 9/2

There are two solutions to f(x) = g(x) which are x=0 and x=2.

There are two solutions to f(x) = g(x) which are x=0 and x=2.

f(x) = g(x) will be the input or x value at which f and g have the same output or y value.

A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.

Look in the table where two numbers repeat right next to each other.

−1 −7/2 −9/2

0 −3 −3

1 −2 −3/2

2 0 0

3 4 3/2

4 12 3

5 28 9/2

There are two solutions to f(x) = g(x) which are x=0 and x=2.

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A company makes muesli which contains nuts and sultanas.

They counted the number of nuts in 50 individual serving packets.

They drew a table.

Number     Midpoint   Number of            

of nuts         (x)           packets (f)              f.x  

4 - 6               5                3                      15

7-9                 8                9                          

10 - 12           11                 12                      

13 - 15            14                17                          

16 - 18            17                 9                    

                                     50                    

To Find :

complete the table

calculate and estimate for the mean

The estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.

a) To complete the table, we need to find the values of "fx" (frequency multiplied by the midpoint) for each class interval. Here's the updated table:

Number of Nuts Number of Packets Midpoint (x) fx

4-6 5 5 5 * 3 = 15

7-9 8 8 8 * 9 = 72

10 - 12 11 11 11 * 12 = 132

13 - 15 14 14 14 * 17 = 238

16 - 18 17 17 17 * 9 = 153

Total 50  610

b) To calculate an estimate for the mean, we use the formula:

Mean = Sum of (fx) / Total Number of Packets

Mean = 610 / 50

Mean ≈ 12.2

Therefore, the estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.

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Answer:

C

Step-by-step explanation:

Isn't a simple number. goes on

Answer:

2

Step-by-step explanation:

Answer:

c=3

Step-by-step explanation:

Answer: Yes!

Step-by-step explanation:

If the x and y coordinates form proportional relationships, then there is some non-changing number (a constant) that when multiplied times x will create y. In this example, that number is 3 (y = 3x), and is called the constant of proportionality. ... It is a positive number.

Answer:

I believe it is rational depending on the question of course

Answer: C. Rational Numbers

Step-by-step explanation:

Gradpoint.

Answer:

6

Step-by-step explanation:

The expression can be written as follows;

6^1/4 . 6^1/4 . 6^1/4 . 6^1/4 = (6^1/4)^4

So the powers will multiply each other;

= 6^(1/4 * 4) = 6^1 = 6

In reality, however, the two drugs do not differ. This is an example of a Type I errors.

In statistics, a Type I error, also known as a false positive or alpha error, occurs when a null hypothesis that is actually true is rejected. In the context of the given randomized trial, the null hypothesis states that there is no difference between the efficacy of the two drugs.

However, due to random chance or other factors, the trial yielded a statistically significant difference (with a P value < 0.05) between the drugs, leading to the rejection of the null hypothesis.

In reality, since the two drugs do not actually differ in efficacy, the observed difference is likely due to random sampling variability or experimental error. A Type I error can occur when the significance level (alpha) used in the hypothesis test is set too low, leading to a higher likelihood of rejecting the null hypothesis incorrectly.

It is essential to consider Type I errors and carefully interpret the significance of study findings to avoid drawing erroneous conclusions based on statistical significance alone.

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Answer:

We have vertical angles.

3x + 1 = 43

3x = 42

x = 14

Answer:

x = 15°

Step-by-step explanation:

the inscribed angle APB is half the measure of the central angle AOB , so

x = \(\frac{1}{2}\) × 30° = 15°

Answer:

9+k-17

Step-by-step explanation:

sum of 9 and k

9+k

minus 17

9+k-17

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.

Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.

The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0    

The terms a, b, and c are also referred to as quadratic coefficients.    

'Examples of Quadratics

x² –x – 9 = 0

5x² – 2x – 6 = 0
3x² + 4x + 8 = 0

-x² +6x + 12 = 0  (an example of non-quadratic equation is x³ − x² − 5 = 0)

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Answer:

88 sq units

Step-by-step explanation:

Area of the rectangle = 14*4= 56 (length*width)

Formula for the area of a Δ = 1/2 * b * h =

1/2 * 8 * 8 =

4*8 = 32

Add:

56+32 = 88

The art museum had 4,000 visitors that month, as 1,600 visitors during a week represented 40% of the total visitors for the month.

Let's denote the total number of visitors for the month with "x".

According to the problem, the number of visitors during a particular week (1,600) was 40% of the total number of visitors for the month.

We can write this as an equation

1,600 = 0.4x

To solve for "x", we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.4

1,600 ÷ 0.4 = x

Simplifying the left side

4,000 = x

Therefore, the art museum had a total of 4,000 visitors that month.

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The solution to the given system of linear equations is x = 4, y = 20

From the question, we are to determine solution to the given system of equations

The given system of equations is

x+y=6x=y+4

Thus, we can write that

x + y = 6x ----------- (1)

and

6x = y + 4 ------------(2)

Solve the two equations simultaneously

From equation (1)

x + y = 6x

y = 6x - x

y = 5x --------- (3)

Substitute into equation (2)

6x = y + 4

6x = 5x + 4

6x - 5x = 4

x = 4

Substitute the value of x into equation (3)

y = 5x

y = 5(4)

y = 20

Hence, the solution to the given system of linear equations is x = 4, y = 20

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The game with 8 minutes of time-outs is 98 minutes long.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division.

In this case, the algebraic expression that represents the length of the soccer game would be:

m = 90 + x

where m represents the total length of the game in minutes, 90 represents the fixed length of the game, and x represents the variable length of time-outs in minutes.

To find the length of the game with 8 minutes of time-outs, we substitute x = 8 into the expression:

m = 90 + 8 = 98

Therefore, the game with 8 minutes of time-outs is 98 minutes long.

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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1. Number of Students scored exactly 3 is 3.

2. Number of Students scored higher than 3 = 11

3. Number of Students scored less than = 2

4. The Score 6 is achieved by the maximum number of students.

The linear graph known as a line plot displays data frequencies along a number line. Data with a single defined value can be examined using it.

Tracking changes over both short and long time periods is an important application of line graphs.

Given:

Data: 6, 6, 5, 4, 6, 4, 5, 3, 6, 0, 1, 6, 3, 3, 6, 5

So, 6 Repeats 6 times

and, 5 repeats 3 times

and, 4 repeats 2 times

and, 3 repeats 3 times

and 0 and 1 appears only 1 time.

1. Number of Students scored exactly 3 is 3.

2. Number of Students scored higher than 3

= 2+ 3+ 6

= 11

3. Number of Students scored less than

= 1 + 1

= 2

4. The Score 6 is achieved by the maximum number of students.

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Okay, here we have this:

Considering the provided information, we are going to calculate the speed at which he runs, so we obtain the following:

So we have the following equation:

Distance Traveled Walking + Distance Traveled Running = Total Distance

Distance Traveled Walking + Distance Traveled Running = 20 miles

And taking into account that speed is equal to distance over time, if we take speed to which runs as x we have:

((x/2) mi/h * 2h) + (x mi/h* 1.5h) = 20 miles

x mi+ 1.5x mi= 20 mi

2.5x mi=20mi

x = 20mi/2.5mi

x=8

Finally we obtain that he runs at 8 miles per hour.

Answer: She has 38 nickels

Step-by-step explanation:

Let's define:

N as the number of nickels, D as the number of dimes, and Q as the number of quarters.

She has 140 coins in total, so we can writen:

N + D + Q  = 140.

And the total value is $19.00

Then we have:

N*0.05 + D*0.10 + Q*0.25 = 19

And "The difference in the number of dimes and the number of quarters is 10."

D - Q = 10.

So we have a system of 3 equations and 3 variables:

N + D + Q  = 140.

N*0.05 + D*0.10 + Q*0.25 = 19

D - Q = 10.

First, let's isolate one of the variables in the third equation, i will isolate D.

D = 10 + Q.

Now we can replace this in the other two equations:

N + (10 + Q) + Q = 140

N*0.05 + (10 + Q)*0.10 + Q*0.25 = 19.

Now we can isolate Q in the first equation:

N + 10 + 2*Q = 140

2*Q = 140 - 10 - N

Q = 130/2 - N/2. = 65 - N/2

Now we can replace this in the other equation:

N*0.05 + 10*0.10 + Q*(0.10 + 0.25) = 19

N*0.05 + 10*0.10 + (65 - N/2)*( 0.35) = 19

Now we can find the number of nickels.

N*0.05 + 1 + 22.75 - N*0.175 = 19

23.75 - N*(0.175 - 0.05)  = 19

23.75 - 19 = N*0.125

4.75/0.125 = N

38 = N

She has 38 nickels

Answer:

A or 38 nickels

Step-by-step explanation:

When point P is on line segment OQ, and the length of OQ = 2x, OP = x and PQ = 10 then the length of the line OQ is 20 units

Point P is on line segment OQ

The length of the line OQ = The length of the line PO + The length of the line PQ

The length of the line OQ = 2x

The length of the line OP = x

The length of the line PQ = 10

Substitute the values in the equation

2x = x+10

2x - x = 10

x = 10

Then the length of OQ is

2x = 2×10

= 20 units

Hence, when point P is on line segment OQ, and the length of OQ = 2x, OP = x and PQ = 10 then the length of the line OQ is 20 units

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Regular hexagon is a closed shape polygon having six equal sides and six equal angles.

A regular hexagon is defined as a closed 2D shape made up of six equal sides and six equal angles.

Each angle of the regular hexagon measures 120 degrees.

A hexagon has six angles and the sum of all six interior angles is 720 degrees. In a regular hexagon, each interior angle measures 120 degrees.

Polygon

A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices of a polygon.

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Answer:

9.42

Step-by-step explanation:

Circumstance is 2*pi*r =2 *3.14*1.5

r=d/2=3/2=1.5

Answer:

Circumference= 2πr

raduis is half of the diameter so the radiuse is 1.5miles.

2 x 3.14 x 1.5= 9.42

The circumference is 9.42 miles.

Answer:

12

Step-by-step explanation:

i assume theres supposed to be an image along with the question but just choose the numberline that has 12 marks on it, with each mark being every 1/4

a) The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.

b) A Chi-Square goodness of fit test.

a) A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported and that's why we know that the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.

Chi-Square goodness of fit is used to find out how the observed value of a given phenomenon is significantly different from the expected value. In Chi-Square goodness of fit test, the sample data is divided into intervals.

In this case, we have one categorical variable which is the distribution of individuals within several social groups. We want to see if the actual distribution of the variable is significantly different from the distribution within several social groups as claimed(expected) by the newspaper.

Hence, we will use chi-square goodness of fit test for this case.

b) A Chi-Square goodness of fit test.

Here the variable is the distribution of individuals purchasing season pass at an amusement park. The variable has 4 categories based on the age group of the individuals.

A tourist company wants to test the actual distribution of individuals within each age group and wants to check if it is significantly different from the expected distribution i.e the one claimed by the amusement park.

The tourist company randomly sampled 200 individuals entering the park.

The proportion of individuals within each group as claimed by the amusement park is given.

Hence, we will use chi-square goodness of fit test to test if the actual distribution within each group is significantly different or not from the claimed distribution.

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Answer:

68

Step-by-step explanation:

you have to find what is 16% of 425 hope this helps

The number the veggies sold in the month maybe 357.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the number of veggie burgers sold at a restaurant in Houston, Texas, was 425 in April. The number sold in May was 16% less than the number sold in April.

The number of veggies sold in the month of  May will be calculated as below:-

Number of the veggies = ( 425 x 84 ) / 100

Number of the veggies = ( 35700) / 100

Number of the veggies =357

Therefore, the number the veggies sold in the month may be 357.

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