need help on this please!!!

The reflection of triangle with respect to y axis is P'(-3,-2). Q'(1, -2), R'(-2,7)

How does reflection relate to the y axis?

The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).

What does a reflection mean in mathematics?

A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

For the reflection we need to see first the axis then we will fix that coordinate of the axis like in this case we have y axis so y coordinates will be fix and for x coordinate we will do in opposite direction like for 3 it will be -3 , for -1 it will be 1 and for 2 it will be -2

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The required C is the independent variable and X is the dependent variable.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given function,
F = 9/5C + 32

Where C > -273.15
Since the value of C in the function is justified while the value of F is not, So F will be the dependent variable and C will be the independent variable.

Thus, the required C is the independent variable and X is the dependent variable.

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If we reject the null hypothesis, we conclude that there is not enough statistical evidence to infer that the null hypothesis is true.

In hypothesis testing, the researcher makes a claim about the population and then uses a sample of the population to determine whether or not the claim is accurate. Before the sample is drawn, the degree of significance—or the predicted error—must be determined. The validity of a claim is determined by the value of a test statistic.

The researcher rejects the provided null hypothesis if the test statistic's value is significant. When the null hypothesis is rejected, there is no discernible difference between the hypothesized value and the sampled observations. If the null hypothesis is rejected, it is determined that there is insufficient statistical support to draw the conclusion that it is true.

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Probability that jim will not be accepted at either university is 0.42

He has applied to two different universities.

the acceptance rate for applicants with similar qualifications is 30% for university x

the acceptance rate for applicants with similar qualifications is 40% for university Y

Here, getting accepted into the two different universities are two independent events.

P(A or B) = P(A) x P(B)

Probability of not getting accepted in university X is 1 - 0.30

Probability of not getting accepted in university Y is 1 - 0.40

Probability that jim will not be accepted at either university

P'(X or Y) = P'(X) x P'(Y)

=(1 - 0.30) x(1 - 0.40) = 0.70 x 0.60 = 0.42

Therefore, Jim will not be accepted at either university has a probaility of 0.42 or 42%

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Answer: Mr.Jones have to drive 420 miles more to get to his destination

Step-by-step explanation:

Find 70 percent of 600

70 percent is the same as 0.7

Mutiply 600 by 0.7 to find the remaining miles

600*0.7=420

The answers to each part are as follows -

a. n refers to the number of bought tickets. p is representative of the probability that I will win some prize after taking a single ticket.

b. The values of X will be in the range 0 to 5. It is indicative of number of won tickets. Hence, values that are possible are 0, 1, 2, 3, 4 and 5.

c. The probability of each value of x will be calculated using Binomial formula. The formula is-

P(x) = (n choose x) × [tex] {p}^{x} [/tex] × [tex] {(1 - p)}^{n - x} [/tex]

In this formula, n is the number of trials, p is probability of success and x is number of successes.

Keep the values in formula for calculation -

P(0) = (5 choose 0) * 0.256^0 * (1-0.256)^(5-0)

P(0) = 0.326

P(1) = (5 choose 1) * 0.256^1 * (1-0.256)^(5-1)

P(1) = 0.410

P(2) = (5 choose 2) * 0.256^2 * (1-0.256)^(5-2)

P(2) = 0.219

P(3) = (5 choose 3) * 0.256^3 * (1-0.256)^(5-3)

P(3) = 0.062

P(4) = (5 choose 4) * 0.256^4 * (1-0.256)^(5-4)

P(4) = 0.011

P(5) = (5 choose 5) * 0.256^5 * (1-0.256)^(5-5)

P(5) = 0.001

d. For the probability histogram stating the distribution of x, the x-axis will have x values and y-axis will have the probability of each x value. The mean of distribution will be calculated by the formula -

mean = n × p

mean = 5 × 0.256

mean = 1.28

Further, the standard deviation will be calculated by the formula -

Standard Deviation = [tex] \sqrt{n × p × (1-p)} [/tex]

Keep the values in formula -

Standard Deviation = [tex] \sqrt{5 × 0.256 × (1-0.256)} [/tex]

Standard Deviation = 0.995

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For the linear factors of the cubic, which are (x - 2)(x - 3)(x – 5), the function will be f(x)=1/6x³–5/3x²+31/6x–5.

The first-degree equations that make up a polynomial's linear factors serve as the foundation for higher-order and more complicated polynomials. The formula for a linear factor is ax + b, and it cannot be factored further. A linear factor model establishes a linear equation-based relationship between the return on an asset (such as a stock, bond, mutual fund, or other type of investment) and the values of a small number of factors.

Here,

The linear factors of the cubic are  

=(x – 2)(x – 3)(x – 5)

To solve for the leading coefficient, use  

–5 = a(0 – 2)(0 – 3)(0 – 5)

a = 1/6

f(x)=1/6x³–5/3x²+31/6x–5

The function will be f(x)=1/6x³–5/3x²+31/6x–5 for the the linear factors of the cubic that is (x – 2)(x – 3)(x – 5).

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The u(1, 1, 2), v(2, 3, 1), and w(4, 5, 5) supplied vectors are linearly dependent.

A vector is a quantity with both magnitude and direction in physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity. A vector lacks position, but has magnitude and direction. A vector is therefore unaffected by displacement parallel to itself as far as its length is unaltered.

As per the given information in the question,

The given vectors are:

u = (1, 1, 2)

v = (2, 3, 1) and,

w = (4, 5, 5)

If there are three scalars that are not all zero and that are dependent on a set of vectors (u, v, and w), they have been shown to be linearly dependent.

au + bv + cw = 0

⇒ a(1, 1, 2) + b(2, 3, 1) + c(4, 5, 5) = (0, 0, 0)

⇒ (a + 2b + 4c, a + 3b + 5c, 2a+ b + 5c) = (0, 0, 0)

So,

a + 2b + 4c = 0    (i)

a + 3b + 5c = 0    (ii)

2a+ b + 5c = 0     (iii)

From equation (i) and (ii)

b = -c

From equation (i)

a - 2c + 4c = 0

⇒ a = -2c

Let's assume that c = 1

So,

a = -2 and,

b = -1

Then, from the obtained values,

-2u - v + w = 0

As a result, there is a set of non-zero values for a, b, and c such that:

au + bv + cw = 0

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Answer:

all the above

Step-by-step explanation:

examples of undefined term are point line and plane

90 miles per hour is 132 feet per second. To convert multiply it by 5,280, then divide by 3,600. The foot per second is a speed and velocity unit.

Mile per hour is a speed unit defined in the Imperial and US customary systems of measurement. It calculates how many miles an object travels in an hour. The international mile [mi] is a length unit that is equivalent to 5280 feet and precisely defined as 1609.344 metres. The abbreviation mph is more commonly used on signs and labels, but in science and engineering contexts, mi/h may be more convenient for unit arithmetic.

The Imperial and US customary systems of units define the foot per second as a unit of speed. It calculates the distance an object travels in one second. The foot [ft] is a length unit that is precisely defined as 0.3048 metres.

To convert a speed value from miles per hour to feet per second, multiply it by 5,280, then divide by 3,600.

Speed in miles per hour = 90 miles per hour

Speed in feet per second = 90 * 5,280 / 3600 = 132 feet per second

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The variables as length are L and width is W and the system of equations is L = 2W - 3 and 42 = 2(L + W) and the length and width are 13 feet and 8 feet respectively.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

As per the given total fencing = 42 feet

Let's say the length is L and the width is W.

As per the given,

L = 2W - 3

Perimeter = 2(length + width)

42 = 2(L + W)

21 = 2W - 3 + W

21 + 3 = 3W

W = 8 feet

And, L = 2(8) - 3 = 13 feet

Hence "The variables as lengths are L and width is W and the system of equations is L = 2W - 3 and 42 = 2(L + W) and the length and width are 13 feet and 8 feet respectively".

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Answer: 8 + i

Step-by-step explanation:

The complex number 8/1+i can be written in standard form as 8 + i. In standard form, a complex number is written as a+bi, where a is the real part and bi is the imaginary part. In this case, the real part is 8 and the imaginary part is i. Therefore, the standard form of the complex number 8/1+i is 8 + i.

Answer: 4-4i

Step-by-step explanation:

[tex]\displaystyle\\\frac{8}{1+i} =\\\\\frac{8(1-i)}{(1+i)(1-i)}=\\\\\frac{8(1-i)}{1^2-i^2} =\\\\\frac{8(1-i)}{1-(\sqrt{-1})^2 }=\\\\\frac{8(1-i)}{1-(-1)}=\\\\\frac{8(1-i)}{1+1} =\\\\\frac{8(1-i)}{2} =\\\\4(1-i)=\\\\4-4i[/tex]

Answer:

-21.5b - 16

Step-by-step explanation:

Simplify the expression

3(−5.5b − 3) − (5b + 7)

-16.5b - 9 - 5b - 7  [Expand the parentheses]

-21.5b - 16              [Add like terms]

This matches the third option.

Using the given information, the city's next year population will be 69,840

From the question, we are to determine what the population of the city will be the following year

From the given information,

"The population of a city decreases by 3.3% per year"

and

This year's population is 72,000

Thus,

The population of the following year will be

72000 - 3% of 72000

Next year population = 72000 - 3% of 72000

Next year population = 72000 - 3% × 72000

Next year population = 72000 - 0.03 × 72000

Next year population = 72000 - 2160

Next year population = 69,840

Hence, the population will be 69,840

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Step-by-step explanation:

as percent means per 100

So we can say 0.54 or 54100 is the same as 54%.

hope understand

Step-by-step explanation:

Liz is baking cookies. a single batch uses ¾ teaspoons of vanilla. if Liz is mixing the ingredients for five batches at the same time, how many tablespoons of vanilla will she use?

3/4 = 0.75 teaspoons

0.75 teaspoons  * 5 batches = 3.75 teaspoons

There are 3  teaspoons in a tablespoon so:

Liz will use:

1 1/4 tablespoons

if you need in decimal form: 1.25 tablespoons

The numbers which are greater than 1 are 2 ÷ 1/3 and 3/4 ÷ 2/3 so options (B) and (D) are correct.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

As per the given fractions,

2 ÷ 1/3 = 2 x 3/1 = 6 > 1

3/4 ÷ 2/3 = 3/4 x 3/2 = 9/8 > 1

Hence "The numbers which are greater than 1 are 2 ÷ 1/3 and 3/4 ÷ 2/3".

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The complete question below,

The measure of the required angle of the given rhombus ABCD is m∠ADC = 64°.

The given rhombus has four angles as

∠ADC, ∠DCB, ∠CBA, and ∠BAD

It has two diagonals that bisect each other at point E.

And we have ∠ABD = 32° and ∠ACD = 58°

Here, the angles ∠ABD and ∠BDC are alternate angles. Since we know that, the alternate angles are equal in measure, we can write

∠ABD = ∠BDC

⇒ 32° = ∠BDC

Since we know that the diagonals of a rhombus bisect the angles, we get

∠ADC = 2∠BDC

⇒ ∠ADC = 2 × 32° = 64°

Therefore,  the required angle of the rhombus is ∠ADC = 64°.

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The time taken is 1 second to reach the highest point by using std equations of velocity, time and displacement .

What are 3 std equations of velocity, time and displacement ?

The three standard equations are given as :

1st std equation : v = u + at

2nd std equation : s = u*t + (1/2)at²

3rd equation : 2as = v²-u²

By using 1st std equation:

At highest point final velocity will be zero(0).

So, v = 0

u = 16

a = -16

0 = 16 + -16*t

t = 1sec

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The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .

r = n[(A/P)1/nt - 1]

r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]

r = 0.0909090

Then convert r to R as a percentage

R = r × 100

R = 0.0909090 × 100

R = 9.0909 %/year

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

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Answer: 6.1

Step-by-step explanation:

0.65  is the probability that the chosen student eats neither fish nor eggs.

What are examples and probability?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.                  

                                      The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

We know that there is sample of 275 MHS Students

20 are vegetarians

      9 eat both fish and eggs

      3 eat eggs but not fish

      8 eat neither

Total 20

In a table

           FISH FISHc TOTAL

EGGS     9        3       12

EGGSc   1         7        8

TOTAL    10       10      20

P(F U E) = 9 + 3 + 1 / 20 = 13/20 = 0.65

Or

P(F U E) = 10/20 + 12/20 -9/20 = 13/20 = 0.65

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The measures of the missing angles are:

1. x = 41°

2. x = 100°

3. x = 42°

4. x = 47°

5. x = 65°

6. x = 73°

7. x = 70°

8. x = 43°

To find the missing measures of each of the angles given, we need to apply one of the property of isosceles triangles which states that the base angles of an isosceles triangle has the same measure.

1. x = 41° [base angles]

2. x = 180 - 2(40) = 100°

3. x = 180 - 2(69) = 42°

4. x = 1/2(180 - 86) = 47°

5. x = 65° [base angles are equal]

6. 2x = 146

2x/2 = 146/2

x = 73°

7. x = 180 - 2(180 - 125)

x = 70°

8. 2x = 86

2x/2 = 86/2

x = 43°

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Here is sufficient evidence that revenue and the number of downloads are linearly related.

A computer software developer would like to use the number of downloads for the trial version of his new shareware to predict the amount of revenue.

The Null hypothesis is the common statistical theory that asserts that no statistical relationship or significance exist between two sets of observed data and measure phenomena based on a single observed variable.

Therefore the null hypothesis become,

H₀ : ρ₁ = 0

and the adjacent hypothesis will become,

H₁ : ρ ≠ 0

Now we will calculate test statistic,

t = r × [tex]\sqrt{\frac{n-2}{1-r^{2} } }[/tex]

 = (0.8691) × [tex]\sqrt{\frac{30 - 2}{0.1309^{2} } }[/tex]

t = 9.2974

we know that degree of freedom = n - 2 = 28

p-value at t = 9.2974 is 0.00

α = 0.05

since p-value < α

so null hypothesis will be rejected.

Hence we can say that there is sufficient evidence that revenue and the number of downloads are linearly related.

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The expression which is equivalent to −10.75(20x +15.2) is -215x - 163.4.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical terms.

As per the given expression,

−10.75 (20x +15.2)

By multiplying or opening the bracket,

When a bracket opens then the outer number will multiply with all inner variables as,

⇒ (-10.75 × 20x) + (- 10.75 × 15.2)

⇒ -215x - 163.4

Hence "The expression which is equivalent to −10.75(20x +15.2) is -215x - 163.4".

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Based on the permutation concept, the allowed final result is 20

Permutation method

In statistics, permutation means a mathematical calculation of the number of ways a particular set can be arranged.

Given

Here we need to find how many bit strings of length 5 do have 3 consecutive zeros such that the remaining two bits are not not equal.

Let us consider T denote the number of bit strings of length  containing 3 consecutive 0's.

Total no. of bit strings of length = 5

And the no. of bit strings of length  not containing 3 consecutive 0's = 3

Then the possible combination of permutation is calculated as,

=> T = 5!/3!

=> T = 20

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A. y = - (4/3)x + 4.

y = - (4/3)x - 1.

No solution.

B. y = 4x - 5.

y = - 2x + 7.

one solution.

C. 2x + 3y = 8

4x + 6y = 17.

No solution.

D. y = 5x - 15.

y = 5(x - 3).

Infinitely many solutions.

Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

We'll graph each system of equations, If they intersect at one point they have one solution, if they are parallel to each other they have no solution and if they are coinciding with each other they have infinitely many solutions.

y = - (4/3)x + 4.

y = - (4/3)x - 1.

These are parallel lines no solution.

y = 4x - 5.

y = - 2x + 7.

These lines intersect at (2, 3) one solution.

2x + 3y = 8

4x + 6y = 17.

They are parallel to each other.

y = 5x - 15.

y = 5(x - 3).

These are coinciding lines if we distribute the terms hence infinitely many solutions.

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The buyer concludes that there is not a significant difference between the observed t-shirt sales and the expected t-shirt sales.

Given :

goodness of fit 5. a buyer for a t-shirt shop wants to compare the proportion of t-shirts of each size that are sold to the proportion that were ordered. the buyer counts the number of t-shirts of each size that are sold in a week.

Test :

Test             Contribution

Category     Observed  Proportion  Expected  to Chi-Square

Small              25                  0.1           22.5       0.277778

Medium          41                  0.2           45.0       0.355556

Large              91                  0.4           90.0       0.011111

Extra Large    68                  0.3           67.5       0.003704

The overall chi-square statistic is 0.648 and has a p-value of 0.885. Because the p-value is greater than the significance level of 0.05, the buyer fails to reject the null hypothesis.

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