Find the mean.
Z-score = -1.4
Standard Deviation: 7
x = 20

Step-by-step explanation:

7+8+10=25cm is the possibile perimeter of this

triangle.

The probability that a randomly selected adult has an IQ less than 140 is approximately 0.9772 or 97.72%.

To find the probability that a randomly selected adult has an IQ less than 140, we need to calculate the z-score and then use the standard normal distribution table.

The z-score can be calculated using the formula:

z = (x - μ) / σ

In this case, x = 140, μ = 100, and σ = 20.

z = (140 - 100) / 20

z = 40 / 20

z = 2

Now, we can use the standard normal distribution table or a calculator to find the probability associated with a z-score of 2. Looking up the z-score of 2 in the table, we find that the probability is approximately 0.9772.

Know more about probability here:

https://brainly.com/question/31828911

#SPJ11

The expression for the total number of marbles is 8v.

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,

Each bag contains v marbles.

Number of bags = 8

Total marbles.

= 8v

Thus,

8v is the expression.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ9

The number of marbles in bags is 8v.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Given:

Each bag contains v marbles.

So, for 2 bags the number of marbles will be

= v + v

= 2v

or We can direct multiply the number of marbles with the number of bags.

so, number of marbles in 8 of these bags is

= 8x v

= 8v

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ9

The vectors are orthogonal vectors. If two vectors are perpendicular to one another, we say that they are orthogonal. The two vectors' dot product is zero. If every pair of vectors in a set (v1, v2,..., vn) is orthogonal, we say that the set is mutually orthogonal.

Parallel vectors : If two vectors are parallel, then u =k v . (where, k is a constant)

Orthogonal vectors : the two vectors which are orthogonal (perpendicular) will have their dot product equal to zero.

Neither : any vectors that are not parallel or orthogonal will be classified as neither.

Check if the vectors are parallel:

Find the value for k:

<10,0>=k<0,-9>

10=k x 0 and 0=k x -9

k = undefined and k=0.

It is not possible to have two values for k. Therefore, the vectors are not parallel.

Check if the vectors are orthogonal:

Calculate the dot product:

u.v =  <10,0>  <0,-9>

u.v = (10 x 0)+(0 x -9)

u.v = 0+0

u.v = 0

The dot product of the vectors is equal to zero.

Therefore, the vectors are orthogonal (perpendicular to each other).

Learn more about types of vectors at:

https://brainly.com/question/1597268

#SPJ4

Answer:

my educated guess would be B. i hope i dont get u the wrong answer

Step-by-step explanation:

Answer:

I think A

Step-by-step explanation:

I am not sure but if u multiply 7x7 u get 49 and when u do 9x7 it gets u close to 65 that is my guess

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Answer:

73

Step-by-step explanation:

10+(9×6)+(9×1)

10+54+9

=73

The probability of rolling a 7 with two dice is 1/6.

Probability is the measure of how likely something is to happen. It is expressed as a number between 0 and 1, where 0 indicates that something is impossible and 1 indicates that something is certain. Probability is used in a variety of ways, including to measure the chance of winning a game, the likelihood of an event occurring, or the probability of a certain outcome from a given set of data. Probability can also be used to make predictions about the future, as well as to analyze data and make decisions.

Therefore, the probability of Calamitous Clod rolling a 7 is also 1/6. This is because the probability of rolling a certain number on a die is the same regardless of the number of dice being used. Therefore, the probability of Calamitous Clod rolling a 7 is 1/6.

To know more about probability click-
https://brainly.com/question/24756209
#SPJ4

To find the partial sum S₁7 for the arithmetic sequence with a first term (a) of 3 and a common difference (d) of 2, we can use the formula for the sum of an arithmetic sequence. Therefore, the partial sum S₁7 for the arithmetic sequence with a first term of 3 and a common difference of 2 is 323.

The formula for the sum of an arithmetic sequence is given by:

Sn = (n/2)(2a + (n-1)d)

In this case, we want to find the partial sum S₁7, which means we need to substitute n = 17 into the formula.

Plugging in the values, we have:

S₁7 = (17/2)(2(3) + (17-1)(2))

Simplifying the equation inside the parentheses, we get:

S₁7 = (17/2)(6 + 16(2))

Simplifying further:

S₁7 = (17/2)(6 + 32)

S₁7 = (17/2)(38)

Finally, evaluating the expression, we have:

S₁7 = 17(19)

S₁7 = 323

Therefore, the partial sum S₁7 for the arithmetic sequence with a first term of 3 and a common difference of 2 is 323.

Learn more about arithmetic sequence here:

https://brainly.com/question/28882428

#SPJ11

Answer:

can sombody help awnser my problem

it's due in 10 minutes

Answer:

$612

Step-by-step explanation:

to solve, you want to multiply these two values.

You can make this easier by taking the tens place of both numbers out and the ones place out and multiplying them:

32 x 26

30 x 20 = 600

2 x 6 = 12

Then add these values together:

600 + 12 = 612

Answer:

2) 4/5

3) 3

Step-by-step explanation:

2) 4/8-3=4/5

3)5x-4=3x+2

2x=6

x=3

Answer:

2) 4/5

3)x=3

Step-by-step explanation:

1) 4/8-3= 4/5

2) 5x-4=3x+2

bring 3x to left side and bring -4 to right side (remember signs will be reversed that is 3x becomes -3x and -4 will be 4

5x-3x=4+2

2x=6

x=6/2

x=3

put 3 in place of x

5*3-4=3*3+2

15-4=9+2

11=11

Answer:

Step-by-step explanation:

183.5

Answer:

the answer is 183.5

Step-by-step explanation:

The maximum expected increase in exam score if a student studies an extra 3 hours is 4.11 points.

Since we have a 99% confidence interval, we can assume a t-distribution with 31 degrees of freedom (n-1). Using this distribution, we can find the margin of error (E) for the mean difference in exam score (µD) between students who study for an extra 3 hours and those who do not.

E = t* (s/√n), where s is the sample standard deviation and n is the sample size.

We don't have the standard deviation, but we can estimate it using the range rule of thumb, which states that the standard deviation is approximately equal to the range of the data divided by 4.

s ≈ (6.96 - 3.59) / 4 = 0.8425

Using a t-value for a 99% confidence interval and 31 degrees of freedom, we have:

t = 2.750

E = 2.750 * (0.8425/√32) ≈ 0.929

So the 99% confidence interval for the true mean difference in exam score is (3.59 - 0.929, 6.96 + 0.929) = (2.66, 7.89).

To find the maximum expected increase in exam score if a student studies an extra 3 hours, we can subtract the mean difference in exam score from the previous 32 students from the mean difference in exam score between students who study for an extra 3 hours and those who do not.

Mean difference in exam score = (6.96 - 3.59) / 32 = 0.104

Max expected increase in exam score = 0.104 + 3 = 4.11

To know more about confidence interval, refer here:

https://brainly.com/question/17588303#

#SPJ11

From the quadrilateral proof seen below we can prove that;

∠C + ∠D = 2∠AOB

The bisection of an angle simply means to divide an angle into two equal parts.

The sum of the interior angles of a quadrilateral is 360 degrees. Thus;

∠A + ∠B + ∠C + ∠D = 360°     ------(1)

In △AOB,

∠AOB + ∠A/2 + ∠B/2 = 180°

Multiply through by 2 to get;

2∠AOB + ∠A + ∠B = 360°

Thus;

∠A + ∠B = 360° - 2∠AOB

Put 360° - 2∠AOB for ∠A + ∠B in eq 1 to get;

360° - 2∠AOB + ∠C + ∠D = 360°

This simplifies to;

∠C + ∠D = 2∠AOB

Read more about Bisected Angles at; https://brainly.com/question/24334771

#SPJ1

Complete question is;

Bisectors of two adjacent angles of angles A and B of quadrilateral ABCD intersect at a point O. Prove that 2∠AOB = ∠C + ∠D

Answer:

The x value is 5

Step-by-step explanation:

The x value is the value when you go across( or left and right)

We go 5 units to the right or 5 units positive.

The x value is 5

Answer:

X = (5,0)

Y = (0,-2)

The distance covered in 3 hours by the car traveling at a speed of 40 miles per hour is 120 meters.

Speed is simply referred to as distance traveled per unit time.

It is expressed mathematically as; Speed = Distance /  time.

Given the data in the question;

Plug the given values into the above equation and solve for Distance.

Speed = Distance /  time

Distance = Speed × Time

Distance = 40 mph × 3 h

Distance = 120m

Therefore, distance travelled by the car is 120 meters.

Learn more about speed here: brainly.com/question/7359669

#SPJ1

Answer:

aye me to

Step-by-step explanation:

The power series representation for the function, so the interval of convergence is (-9,9).

The definition of convergence refers to 2 or more matters coming together, joining collectively, or evolving into one. An example of convergence is when a crowd of people all move collectively into a unified organization.

Convergence is when two or extra matters come collectively to shape a brand new whole, like the convergence of plum and apricot genes within the plucot. Convergence comes from the prefix con-, meaning collectively, and the verb verge, because of this to show closer to.

The simple concept of convergence permits multiple responsibilities to be accomplished on a single device, which efficiently conserves space and power. for example, as opposed to wearing separate devices – like a cell cellphone, digital camera, and virtual organizer – each era converges on a single tool or telephone.

We have given f(x)=1/(9+x)

f(x)=(1/9)*(1/(1-(-x/9))

f(x)=summation of (n=0 to infinity) [1/9*(-x/9)n]

=summation of (n=0 to infinity) [(-1)n*(xn/9n+1)]

f(x)=summation of (n=0 to infinity) [(-1)n*(xn/9n+1)]

Let an=(-1)n*(xn/9n+1)

using the Ratio Test

L=lim n-->infinity|an+1/anL=lim n-->infinity|[(-1)n+1*(xn+1/9n+2)]/[(-1)n*(xn/9n+1)]|

=lim n-->infinity|[(-1)n+1*(xn+1/9n+2)]*[9n+1/(-1)n*(xn)]|

=lim n-->infinity|(-1)*(x)/9)|

=|-x/9|<1

x/9<1 and x>9>-1

x<9  and x>-9

x is -9<x<9

for x=9 the series ,summation of (n=0 to infinity) [(-1)n*(9n/9n+1)] =summation of (n=0 to infinity) [(-1)n*(/9)]

=1/9*summation of (n=0 to infinity) [(-1)n]

By the geometric series this summation of (n=0 to infinity) [(-1)n] diverges

=1/9*diverges

the series diverges for x=9

for x=-9 the series ,summation of (n=0 to infinity) [(-1)n*(-9)n/9n+1)] =summation of (n=0 to infinity) [(-1)2n*(/9)]

=1/9*summation of (n=0 to infinity) [(-1)2n]

which is diverges

so the interval of convergence is (-9,9)

Learn  more about convergence here https://brainly.com/question/21089324

#SPJ4

Step-by-step explanation:

in order to be able to decide each case we need the slopes of all involved lines.

and that means we need to bring all of the equating into a "y = ..." form, because then the slope is always the factor of x.

parallel lines have the same slope.

the slopes of perpendicular lines (intercept at a right angle) have the y/x ratio turned upside-down and a flipped sign : -x/y.

"neither" is everything else.

our reference line

x + 2y = 6

2y = -x + 6

y = -1/2 x + 3

so, the reference slope is -1/2.

y = -1/2 x - 5 is parallel (same slope).

-2x + y = -4

y = 2x - 4 perpendicular (2/1 vs. -1/2)

-x + 2y = 2

2y = x + 2

y = 1/2 x + 1 neither

x + 2y = -2 parallel (as the structure except for the constant part is the same as our reference line).

2y = -x - 2

y = -1/2 x - 1

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

for such more question on Hexadecimal numbers

https://brainly.com/question/28280312

#SPJ8

Answer:

$4500

Step-by-step explanation:

Given parameters:

   Down payment = $1500

   Monthly payment for twelve months  =$250

Unknown;

Total hire purchase price  = ?

Solution:

To find the total hire purchase price;

  Total hire purchase price  = Down payment + 12($250)

  Total hire purchase price  = $1500 + $3000

  Total hire purchase price  = $4500

Answer:

x = 26

Step-by-step explanation:

x and 64 are complementary angles so their sum is 90

x+64 = 90

x = 90-64

x = 26

Answer:

26

Step-by-step explanation:

90-64=26

~~~~~~~~~~

Answer:

Graph b, yes, inside

Step-by-step explanation:

Answer:

Graph b, yes, inside

Step-by-step explanation:

i took the test

Answer:

13x + 14

Step-by-step explanation:

5x + 6 + 3x = 8x + 6.

8x + 6 + x + 1 + x + 1 + 2= 10x + 10

10x + 10 + (2²)(i think) = 10x + 14

10x + 14 + 3x = 13x + 14

final answer

Answer:

\(13x+14\)

Step-by-step explanation:

First take all the sides and add:

\(5x+6+3x+3x+2+2+2+x+1+x+1\)

Then Combine Like terms:

\(5x+3x+3x+x+x+6+2+2+2+1+1\)

There is your answer:

\(13x+14\)

(If I misunderstood the handwriting, please tell me, and I will fix my mistakes)

Answer:

x = 5.7 units

Step-by-step explanation:

By applying Sine rule is the triangle XYZ,

\(\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}=\frac{\text{SinW}}{\text{XY}}\)

\(\frac{\text{SinX}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{SinW}}{\text{10}}\)

\(\frac{\text{Sin33}}{\text{x}}=\frac{\text{SinY}}{\text{y}}=\frac{\text{Sin107}}{\text{10}}\)

\(\frac{\text{Sin33}}{\text{x}}=\frac{\text{Sin107}}{\text{10}}\)

\(x=\frac{10\times(\text{Sin33})}{\text{(Sin107)}}\)

x = 5.69

x ≈ 5.7 units