The principal uses a computer to randomly select the name of a student from all the students in

the school. With the computer program, it is possible to draw the name of the same student

twice. If the principal selects the name of a student from the Voyagers on the first try, what is

the probability she will draw the name of another student from the Voyagers on the second try?

answer choices

81/399

41/200

1/82

21/100

Answer:

14

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Your answer is Option B and C.

For option B: the exterior angle is equal to sum of two opposite interior angles. (theorem of triangle).

For Option C: angle 4 and angle 3 is 180° (i.e angle 3 + angle 4 = 180°) Or (angle 4= 180°-angle 3).

Therefore, answer: Option B and C.

Hope it helps...

Answer:

slop is 0.5 and intercept of y is -3

Answer:

½ is the slope,-3 is the intercept

Step-by-step explanation:

now to find the slope and intercept

we use the equation,

y=mx + c

where m is the slope

and c is the y intercept

so we compare 4y=2x-12 to the equation

but we first have to make y the subject of the equation in the question – 4y is already the subject –

y=2x-12/4

y=2x/4 -3

comparing...

we see that m is 2/4=½ c= -3

Answer:

Whats the question?

Step-by-step explanation:

Answer:

i need a queastion to answer this..

Step-by-step explanation:

Answer:

42.5

Step-by-step explanation:

You have to multiply 7 times 5 equals 35. Then you multiply 7 times 2 which is 14 plus 3 equals 5. So you have 175 as the first number. Then you put a 0 under that number. You multiply 5 times 1 which is 5 and 2 times 1 which is 2. Now you have 250 as your second number.

Add 175 plus 250 which is 425 but you have to put the decimal between 2 and 5. Now you have 42.5

Hope that helps

To find the value of the daily salary (X) such that 25% of the daily salaries are greater than X, we need to find the corresponding z-score using the standard normal distribution.

First, we convert the given percentage to a z-score. Since we want the upper 25% (greater than X), the corresponding z-score is the value that leaves 25% in the lower tail. Using a standard normal distribution table or a calculator, the z-score corresponding to 25% is approximately 0.674.

Next, we use the formula for z-score conversion: z = (X - μ) / σ, where μ is the mean and σ is the standard deviation. Plugging in the given values, we have 0.674 = (X - 70) / 10.

Solving for X, we get X = 0.674 * 10 + 70 = 6.74 + 70 = 76.74.

Rounding to one decimal place, the value of the daily salary X is approximately 76.7 JD. Therefore, option 3, 76.7 JD, is the correct answer.

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Answer:

Step-by-step explanation:

Equilateral Triangle:

Side of triangle = breadth of rectangle

                         = 28 cm

height = 24 cm

Area of triangle = \(\frac{1}{2}base * height\\\\\)

                          = \(\frac{1}{2}*28*24\)

                          = 28* 12

                         =  336 square cm

Rectangle:

length = 50 m

breadth = 28 m

Area of rectangle = length * breadth

                              = 28 * 50

                              = 1400 square cm

Diameter of circle = breadth of rectangle

                        d  = 28 cm

                         r = 28/2 = 14 cm

Area of circle = πr²

                      \(= \frac{22}{7}*14*14\\\\= 22 * 2 * 14\)

                     = 616 square cm

Area of the remaining portion =  Area of rectangle - area of circle + area of triangle

                                                    = 1400 - 616 + 336

                                                   = 1120 square cm

Perimeter of the figure = 28 + 50 + 28 + 28 + 50

                                       = 184 cm

Hint: Perimeter of the figure. three side of rectangle + two sides of triangle

Answer: w can be 1,2,4,5

Step-by-step explanation:

Let's recap the formula of Area:
Area = width x length = w x l
Area = 40 = w x l

The definition of a whole number: is a number without fractions; an integer such as 0, 1, 2, 3, 4, 5, 6,...

Let's start with 0. 0 times anything is equal to 0, so we cannot make 40 out of zero. Cross this out.

Next, let's try with 1:

a. 1x40 = 40

Then, applying the same concept to the rest we have these multiplications:

b. 2x20 = 40

c. 4x10 = 40

d. 5x8 = 40

e. 8x5 = 40

f. 10x4 = 40

g. 20x2 = 40

h. 40x1 = 40

Let's recap the formula of Perimeter:

P = 2 x (w + l)

So, we have the calculated perimeters (according to the above finding):
a. P= 2x(1+40)=82

b. P= 2x(2+20)=44

c. P= 2x(4+10)=28

d. P= 2x(5+8)=26

The below answers do not fit the [width < length]

e. P= 2x(8+5)=26 [not an answer]

f. P= 2x(10+4)=28 [not an answer]

g. P= 2x(20+2)=44 [not an answer]

h. P= 2x(40+1)=82 [not an answer]

The concept of independent assortment is one of the fundamental principles of genetics that was first proposed by Gregor Mendel. According to Mendel's postulate of independent assortment, the alleles of different genes segregate independently of one another during the formation of gametes. This means that the inheritance of one trait does not affect the inheritance of another trait.

To test this postulate, Mendel conducted numerous experiments on pea plants and observed that the inheritance of different traits followed a predictable 1:2:1 ratio. This ratio indicated that the alleles for each trait were segregating independently of each other.

Overall, the content loaded Mendel's postulate of independent assortment is an important concept in genetics that helps explain how genetic variation is generated. The 1:1:1:1 testcross ratio is one of the many ways in which this postulate can be tested and supported.

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Answer:

D

Step-by-step explanation:

The point slope form of a line is y-h=m(x-k), where h is the y coordinate of the point, k is the x coordinate, and m is the slope. Therefore, a line with the equation given will have a slope of 3 and go through the point (1,4). The only graph here that matches that is graph D, meaning that it is the answer. Hope this helps!

Answer:

D is the answer

Step-by-step explanation:

Step-by-step explanation:

\( {x}^{2} + 8x = 0\)

\( {x}^{2} + 8x + 16 = 16\)

\((x + 4) {}^{2} - 16 = 0\)

Answer:

B because the x value repeats

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

beacuse the 7 is on y and it changes whitch cant work

The value of s for the given value is 24.05.

Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,

So,

25² = 12² + 2(10)s

625 = 144 + 20s

20s = 481

s = 24.05

Hence the value of s for the given value is 24.05.

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Answer:

answer is 175 miles, have a good day <3

The correct answer is option A which is the distance between A and D will be  AD = \(\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b\).

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

The formula utilised to find the distance between two points is;-

X = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)

We have the coordinates of the point A = (0, 0) and D is  (0, b).By applying the formula to find the distance between A and D.

AD = \(\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b\).

Therefore the correct answer is option A which is the distance between A and D will be  AD = \(\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b\).

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Solution

We are given

Distance = 5/2 miles

Time = 1/4 hours

Answer:

The speed would \(10~\text{mph}\).

Step-by-step explanation:

Step 1: State the formulas required

The formula for speed is:

\(\text{Speed}=\frac{\text{Distance}}{\text{Time}}\)

Step 2: Substitute the values into the formula

The distance is \(\frac{5}{2}~\text{miles}\) and the time is \(\frac{1}{4}~\text{hours}\).

Substitute these values into the formula:

\(\text{Speed}=\frac{\text{Distance}}{\text{Time}}\\\text{Speed}=\frac{\frac{5}{2}}{\frac{1}{4}}\\\)

Step 3: Calculate

\(\text{Speed}=\frac{\frac{5}{2}}{\frac{1}{4}}\\\\\text{Speed}={\frac{5}{2}}\div {\frac{1}{4}}\\\\\text{Speed}={\frac{5}{2}}\times 4\\\\\text{Speed}={\frac{20}{2}}\\\\\text{Speed}=10\)

So, the speed is  \(10~\text{miles per hour}\)  or  \(10~\text{mph}\).

Hence 85 is the area of the rectangle changing at the instant when the other side is 17 cm and increasing at 5cm per minute.

What is rectangle?

the area of the rectangle changing at the instant when the other side is 17 cm  and increasing at 5cm per minute

This can be written as A=17x

Now differentiate with respect to t.

dA/dt=17 dx/dt

increasing at 5cm per minute

dx/dt=5

dA/dt=17 (5)

dA/dt= 85

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The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.

To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.

Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.

The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.

In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.

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Step-by-step explanation:

Solve linear equation two variable

The upper sum is 24 and the lower sum is 8 for the given function

f(x) = 6 - x², -2 ≤x≤ 2.

A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.

The first known approximation to the concept of function is attributed to the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally idealistic representations of how one variable quantity depended on another. The location of a planet, for example, changes throughout time. Historically, the concept was formed with infinitesimal calculus near the end of the 17th century, and the functions that were analyzed were differentiable until the 19th century.

Given,

f(x) = 6 - x²

-2 ≤x≤ 2

When n=2, partition of interval -2, 0, 2

When x=-2, f(-2)=6-4

f(-2)=2

x=0, f(0)=6-0

f(0)=6

x=2, f(2)=6-4

f(2)=2

Upper sum= M₁S₁+M₂S₂

=6(2)+6(2)

=24

Lower sum=m₁ s₁+m₂ s₂

=2(2)+2(2)

=8

Therefore, upper sum=24 and lower sum= 8

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Answer:

3.88

Step-by-step explanation:

y = 23.28/6 x

y = 3.88 x

so, the constant of proportionality is 3.88

Answer:

∴ m∠KIJ = 18°  and   m∠HIJ = 50°

Thus, option a is correct.

Step-by-step explanation:

From the figure, it is clear that:

m∠KIH = m∠HIJ + m∠KIJ

Given

now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation

m∠KIH = m∠HIJ + m∠KIJ

68° = (2x + 6)° + (9x - 4)°

switch sides

\(\left(2x+6\right)+\left(9x-4\right)=68\)

Group like terms

\(2x+9x+6-4=68\)

\(11x+2=68\)

Subtract 2 from both sides

\(11x+2-2=68-2\)

Simplify

\(11x=66\)

Divide both sides by 11

\(\frac{11x}{11}=\frac{66}{11}\)

Simplify

\(x=6\)

Hence, the value of x = 6

Therefore,

m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°

m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°

∴ m∠KIJ = 18°  and   m∠HIJ = 50°

Thus, option a is correct.

At the 0.1 level of significance, the conclusion we come up with is to reject the null hypothesis.

we are given that a random sample of 150 people was taken. 98 of the people in the sample favored the candidate, were it to determine whether or not the proportion of the population in favor of candidate a is significantly more than 57%.So we need to find the test statistic, which is 1.98  determined from the z score, here the rejection region is the number more than 1.28, and 1.98 is greater than 1.28, so it is better to simply reject the null hypothesis.

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The to find the volume of the parallelepiped is V = |A · B × C| where A, B, and C are vectors representing three adjacent sides of the parallelepiped and | | denotes the magnitude of the cross product of two vectors.

The cross product of two vectors is a vector that is perpendicular to both the vectors, and its magnitude is equal to the product of the magnitudes of the two vectors multiplied by the sine of the angle between the two vectors he three adjacent sides of the parallelepiped can be represented by the vectors v1, v2, and v3, and these vectors can be found by subtracting the coordinates of the vertices

:v1 = (-2, 5, -8) - (-2, -2, -5)

= (0, 7, -3)v2 = (-2, -8, -7) - (-2, -2, -5)

= (0, -6, -2)v3 = (-7, -9, -1) - (-2, -2, -5)

= (-5, -7, 4)

Using the formula V = |A · B × C|, we can find the volume of the parallelepiped as follows:

V = |v1 · (v2 × v3)|

where v2 × v3 is the cross product of vectors v2 and v3, and v1 · (v2 × v3) is the dot product of vector v1 and the cross product v2 × v3.Using the determinant formula for the cross-product, we can find that:

v2 × v3

= (-6)(4)i + (-2)(5)j + (-6)(-7)k

= -48i - 10j + 42k

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Answer:

30%

Step-by-step explanation:

% decrease = decrease/original value × 100

decrease = 3560-2492 = 1068

so it's 1068/3560× 100

= 30%

Answer:

Step-by-step explanation:

Decrease = 3560 - 2492 = 1068

\(Decrease percentage = \dfrac{1068}{3560}*100 \\\\\\ = 30\)

= 30%

0.6 can be written in fractions form as;

\(0.6 = \frac{6}{10} \)

By simplifying the numeration and denominator by 2, you get;

\( \frac{3}{5} \)

Now that we have common denominators we can compare both fractions and say that the one with the higher denominator is larger, Hence=

\( \frac{4}{5} > \frac{3}{5} \)

\( \frac{4}{5} > 0.6\)

Answer:

4/5 > 0.6

Step-by-step explanation:

Given into Decimal:

4/5 = 0.8

Thus, 0.8 > 0.6

Hence, Answer = 4/5 > 0.6

~Learn with Lenvy~

Answer:

System of linear inequalities is x - y + 1 < 0 and x + 2y +6 < 0

Step-by-step explanation:

Given:

To Find:

Formula used:

According to question, we have

Inequality for dotted line :

(y-1) > (0-1)/(-1-0) * (x-0)

y - 1 > x

x - y + 1 < 0...(1)

Inequality for solid line:

(y-(-3)) < (0-(-3))/(-6-0) * (x-0)

y + 3 < -x/2

x + 2y +6 < 0...(2)

Using (1) and (2), we get

System of linear inequalities is x - y + 1 < 0 and x + 2y +6 < 0.

Answer: 1<x<3

Step-by-step explanation:

There are 3  rules in one that are needed for this problem

1st:  you can never get a 0 at the bottom of a denominator so x \(\neq\) 1

\(\sqrt{x-1}=0\\ x-1=0\\x=1\) would make a value of 0 on the bottom of a denominator which is not allowed.

2nd:  you can never get a - under the square root so x cannot be less than 1

3rd.  you can never get a log that is equal to 0 or less than 0 so x

3-x=0

-x=-3

x=3

so x cannot =3 or be greater than 3

the values that x CAN be are  1<x<3

Step-by-step explanation:

sorry that's all i know hehe