Based on your data, describe the relationship between age and the number of U.S. states a

person can name in 60 seconds.

I

Using the distance formula, the length of segment PQ is:

C. √68 units

The distance formula is given as:

d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Segment PQ has the following endpoints:

P(-2, 3)

Q(6, 1)

To find the length of segment PQ using the distance formula, we can apply the formula, where:

\((x_1, y_1)\)are the coordinates of point P

\((x_2, y_2)\) are the coordinates of point Q.

Given:

P(-2, 3) = \((x_1, y_1)\)

Q(6, 1) = \((x_2, y_2)\)

Let's substitute the values into the formula:

PQ = √[(6 - (-2))² + (1 - 3)²]

PQ = √[(8)² + (-2)²)

PQ = √(64 + 4)

length of segment PQ = √68 units

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Answer:

95% of confidence intervals are

(197.706 , 198.294)

Step-by-step explanation:

Explanation:-

Given sample size 'n'=100

Mean of the sample  x⁻ = 198

The standard deviation of the Americans =15

95% of confidence intervals are determined by

            \((x^{-} - Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} })\)

Level of significance = 0.05

Z₀.₀₅ = 1.96

        =   \((198 - 1.96 \frac{15}{\sqrt{100} } , 198 +1.96\frac{15}{\sqrt{100} })\)

       =  ( 198 -0.294 ,198 +0.294)

       = (197.706 , 198.294)

95% of confidence intervals are

(197.706 , 198.294)

Answer:

Step-by-step explanation:

First one 1, can’t bet negative amount of money

If Jerry currently has 20 points and likes to pick up the pink sticks, earning 4 points every turn, and his cousin has a strategy to catch up to jerry from 0, by getting all the red ones, earning 6 points per turn, then their scores will be tied after 10 turns from now on, and their points then will be 60.

As per the question statement, Jerry and his cousin are playing a game where they pick up colored sticks and Jerry currently has 20 points picking up the pink sticks which earn him 4 points every turn. His cousin just lost all her points on the previous turn, and has a strategy to catch up by picking all the red ones, which can earn 6 points per turn.

Then we are required to calculate the number of turns from now on, after which, their scores will be tied, and the magnitude of their points at that instant.

Let us assume that, their scores will be tied after "x" turns from now on.

Then, [{20 + (4 * x) = (6 * x)]

Or, [(20 + 4x) = 6x]

Or, [20 = (6x - 4x)]

Or, (2x = 20)

Or, [x = (20/2)]

Or, (x = 10)

That is, their scores will be tied after 10 turns from now on, and their points then will be [(20 + 4x) = (20 + 40) = 60].

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Answer: 4

Step-by-step explanation:

1. The quantity of teaspoons of yeast that the baker uses in 1 cup of water is 2¹/₄, using ratio and division operations.

2. In ³/₄ ÷ ¹/₃, ³/₄ is the unit rate of teaspoons of yeast while ¹/₃ is the unit rate of cups of warm water.

Division operation is one of the basic mathematical operations, including subtraction, addition, and multiplication.

Divisions involve dividing the dividend by the divisor and using the division operand (÷ or /) and the equation symbol to get the quotient, which is the product of a division operation.

The ratio of teaspoons of yeast to cups of warm water:

3/4 teaspoons : 1/3 cups

x = 1 cup

x = 3/4 ÷ 1/3

x = 3/4 x 3/1

x = 9/4

x = 2¹/₄.

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Answer:

17

Step-by-step explanation:

y=mx+b

B is the y intercept

Answer:

x = 20

Step-by-step explanation:

A straight line is equal to 180 degrees. Therefore (4x -8) + (6x-12) = 180

Combine the like terms to get 10x -20 = 180. Simplify by adding 20 getting you 10x = 200. Divide by 10 on both sides to get the x value by itself giving you x = 20.

(edited)

The sample is not representative of the middle school.

What makes sample size crucial?

Because it affects the accuracy and dependability of the findings, sample size is crucial in research. In general, a higher sample size yields more accurate and representative results, whereas a lower sample size could be more variable and ambiguous.

                                The right sample size, the population being researched, and the required level of statistical power and confidence are all determined by the study topic.

Here the sampling is not random as those interested in giving the survey has only being considered. The sampling used is Voluntary response sampling. Therefore, the sample is not representative of the middle school.

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The sign that makes the following statement  -1/5 _____ -1/2 true is <. Option 1

Inequalities are simply described as a relation that makes a non-equal comparison between two numbers mathematical expressions.

Inequalities are mostly used in comparing two numbers on the number line based on their size.

Mathematically signs used for the representation are;

From the information given, we have that;

-1/5 is not equal to -1/2

Thjs is so because smaller numbers on the negative side of the number line are greater than the larger numbers.

Thus, the sign is <

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The equation is written as

Aisha has 15 points

Let's use the given information to set up an equation to represent the relationship between the points each friend has.

Let x be the number of points Aisha has.

Then, according to the problem statement, we know that:

Carter has 7 1/2 more points than Aisha, so he has

x + 7 1/2 points.

Jamila has 4 - 1/2 more points than Carter, so she has

x + 7 1/2 + 4 - 1/2 points,

which simplifies to x + 11 points.

Jamila has 26 points, so we can set x + 11 equal to 26 and solve for x:

x + 11 = 26

x = 26 - 11

x = 15

Therefore, Aisha has 15 points.

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The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer:The area would be 108.

Step-by-step explanation:

12 x 9 = 108

Answer: $5.75

Step-by-step explanation: 2.75 x 2 = 5.5    1.25 x 3 = 2.75    2.75 + 5.5 = 9.25     $15 - $9.25 = $5.75

Answer:

b^3 = 5

Step-by-step explanation:

b^3 = 125

cube root of b^3 = cube root of 125

the cube root of 125 is 5

-5 is not an equivalent solution (-5)(-5)(-5) =/ (not equal to) 125

so b=5

remember ± means if -5 and 5 are equal to 125, in this case it is not...so its just 5.

I hope I explained this well!

The value of b for the expression b³ = 125 is 5.

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

b³ = 125

Cube root on both sides.

b = ∛125

b = 5

We can not use -5 because.

-5 x -5 x -5 = -125

This is not possible

Thus,

The value of b is 5.

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Answer:

\(2x^{2} +13x-45\)

Step-by-step explanation:

By using FOIL method.

The lines a and b are parallel so the answer is c. 127 °

Answer:

z = 3/31

Step-by-step explanation:

5z + 3 = 36z

subtract 5z on both sides

3 = 31z

divide by 31 on both sides

z = 3/31

The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.

Let the amount of money loaned at 9% be x

the amount of money loaned at 11% be y

According to the question,

Total money loaned = 20,500

Thus the equation formed is,

x + y = 20,500 ------ (i)

Simple interest is calculated by

I = P * r * t

where I is the simple interest

r is the rate of interest

t is the time

Thus, the interest on x = 0.09x

the interest on y = 0.11y

Total interest gained = 2,225

Thus the equation formed is,

0.09x + 0.11y = 2225 -------(ii)

Multiply (i) by 0.09

0.09x + 0.09y = 1845

Subtract the above from (ii)

0.02y = 380

y = 19000

x = 1500

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Answer:

use probability ,fraction/percentage/decimal

Answer:

See below

Step-by-step explanation:

g(x) = 2 f(x)

       = 2 ( 4x-6)

       = 8x -12

Answer:

C 18 feet:D

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Hope you have a fantastic day, and do well on your test!!!!!!!!!!!!!!

Answer:1125

Step-by-step explanation:

w=width

w+20=length

P=2l+2w

140=2(w+20)+2w

140=2w+40+2w

140=4w+40

140-40=4w

100=4w

w=100/4

w=25 m

l=25+20=45 m

A=lw

A=45*25

A=1125 sq m

Answer:

C. 1/4 = 3/12

Step-by-step explanation:

First,we have to find the LCM of the denominators which are 4 and 12,and their LCM is 12. So now we have to multiply the both the denominators of the fractions to get the multiple which is 12. So,1/4, we have to find how many times does 12 comes in 4's table,so it comes 3 times,which will be = 4x3= 12. Now 1/4 = 3/12 bc we have to multiply the numerator also with 3 as we did with 4. Now going to the next fraction which is 3/12,for the denominator= 12x1= 12,3x1= 3,so it will be = 3/12. Therefore,both the fractions are equal. Please mark brainliest if you can :)

Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer:

The answer must be 95. (The red one.)

Step-by-step explanation:

The two smallest sides of a triangle when added together MUST be more than the longest side. 95+25 is 120! I hope this helps!

The range of the repairs to the cars is 241.

The sample variance is 11, 671.33

The sample standard deviation would be 108.03.

Range = Maximum repair cost - Minimum repair cost

= 456 - 215

= 241

Find mean :

= (422 + 456 + 401 + 215) / 4

= 373. 5

Sample variance :

= Sum of ( each repair cost - mean ) ² / (Number of cars - 1)

= ( 2, 340.25 + 6, 812.25 + 756.25 + 25, 105.25 ) / ( 4 - 1 )

= 11, 671. 33

Sample standard deviation:

= √sample variance

= √11, 671. 33

= 108. 03

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Answer:

x ≈ 28.7 ft

Step-by-step explanation:

Step 1: Define variables

Height (vertical leg of triangle) = 2 ft

∅ = 4°

We are trying to find the length of the hypotenuse x

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin4° = 2/x

Step 3: Solve for x

xsin4° = 2

x = 2/sin4°

x = 28.6712

x ≈ 28.7 ft

Answer:

the Length of ramp is 28.7 feet.

Step-by-step explanation:

see attached image for clarity

give:

height (h) of clinic = 2 feet

angle of ramp = 4°

find:

Length (L) of ramp

using the formula : sin(Ф) =                height (h)                    

                                              Length of ramp (hypothenuse)

plugin values into the formula:

sin (4) =    2    

               L

L   =    2    

      sin(4)

L = 28.7 feet

therefore,

the Length of ramp is 28.7 feet.

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

A. this is a vector, so you need a bar on top (ie not D)

Step-by-step explanation: