Select the correct answer.Two six-sided dice are rolled at the same time. What is the probability of getting a 2 on both dice?

Answer:

About 13.3 percent

To find the percent increase divide 12.99 by 14.99 and get .8666577 subtract one to find percent increase and get .13342228 turn into percent and round to the nearest tenths place and get - 13.3 percent.

Answer: a. 1) we can scale a rate by the reciprocal of its 2nd term to find the unit rate..This makes sense as we know with rates we can divide and that dividing is equivalent to multiplying by the reciprocal.

b. 2) To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.

a. 2) what we need to know to solve the problem is first the given fractions 3/4 and 1/5 and 2/3 and 1/6. and we need to find what we need to do to those which is division.

Step-by-step explanation:

THE WORKING PART.....

Jaylon... 3/4 ÷ 1/5 = 3/4 × 5/1 is equal to 15/4 or 3 /34

Rene... 2/3 ÷ 1/6 = 2/3 6/1 is equal to 4 (A whole number

I REALLLYYY HOPEE THIS HOPES THIS HELPS. and feel free to brainliest. and friend me if you wanna

Answer:

2 4/5

Step-by-step explanation:

5 4/5 - 2 3/3=2 4/5

Answer:

47/15 or 3 2/15

Step-by-step explanation:

first put it into improper fraction

so 29/5 minus 8/3

then find the least common denominator which is 15

87/15 minus 40/15 which is 47/15

simplify it

To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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Answer:

-25

Step-by-step explanation:

The following are x-values (inputs) and their y-values (outputs) that are one value apart:

(Input, output)

✅(-2, 20) and (-1, -5)

Difference between their outputs = -5 - 20 = -25

✅(-1, -5) and (0, -30)

Difference between their outputs = -30 -(-5) = -25

✅(0, -30) and (1, -55)

Difference between their outputs = -55 -(-30) = -25

✅(1, -55) and (2, -80)

Difference between their outputs = -80 -(-55) = -25

As we can see the difference of outputs for any two inputs that are one value apart = -25

Answer:

-25

Step-by-step explanation:

Answer:

a. 0.01%

b. 99.22°F

Explanation:

We know that the temperature follows a normal distribution with a mean of 98.18 °F and a standard deviation of 0.63 °F.

Part a.

If 100.6 °F is the lowest temperature that they consider fewer, we need to calculate the following probability

P( T > 100.6)

To calculate this probability, we first need to standardize 100.6 as follows

Therefore, the probability is equivalent to

P(T > 100.6) = P(Z > 3.84)

Now, we need to use the table for positive z scores, but it gives the probability P (Z < z), so we can calculate P(Z > 3.84) as follows

P(Z > 3.84) = 1 - P(Z < 3.84)

P(Z > 3.84) = 1 - 0.9999

P(Z > 3.84) = 0.0001

Therefore, the percentage is 0.0001 x 100% = 0.01%. So 100.6 °F is appropiate because the probability that a healtly person is considered to have fewer is 0.01%

Part b.

If we want a temperature such that 5.0% exceed it, we need to find a value of z that satisfies

P(Z > z) = 0.05

P(Z < z) = 1 - 0.05

P(Z < z) = 0.95

Using the table, we get that z = 1.645. Then, we can find the temperature as follows

Therefore, the answer for part b is 99.22°F

Step-by-step explanation:

To find the equation of a line perpendicular to -2x+y= 9, we first need to determine the slope of the given line. We can rewrite -2x+y= 9 in slope-intercept form (y=mx+b) by isolating y:

-2x+y=9

y=2x+9

So the slope of the given line is 2. The slope of any line perpendicular to this line will be the negative reciprocal of this slope, which is -1/2.

Next, we can use the point-slope form of the equation of a line to find the equation of the line that passes through the point (6, 2) with a slope of -1/2:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point. Plugging in the values, we get:

y - 2 = (-1/2)(x - 6)

Simplifying this equation, we get:

y - 2 = (-1/2)x + 3

y = (-1/2)x + 5

So the equation of the line perpendicular to -2x+y= 9 that passes through the point (6, 2) is y = (-1/2)x + 5.

Answer:

Step-by-step explanation:

When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. For example, in the following expression, x to the power of 3 is being raised to the power of 6, and so you would multiply 3 and 6 to find the new power.

The solution of the given system of equations is (-1, -2).

We are aware that a linear system of equations can be solved using a substitution method.

The intersection of the two lines represents the system's solution.

The given equations are-

y = 3x+1 ...eq 1

y = -2x-4  ...eq 2

Put the value of eq 1 in eq2 .

3x+1  = -2x-4

3x + 2x = -4 - 1

5x = -5

x = -5/5

x = -1

Put the x in eq 1.

y = 3(-1)+1

y = -2

Thus, the solution of the given system of equations is (-1, -2).

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The complete question is-

What is the solution to the system of equations-

y=3x+1 ;

y=-2x-4

The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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Answer:

(x+11)/3

Step-by-step explanation:

From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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Answer: £234

Step-by-step explanation:

First, we need to subtract the deposit (£350) from the total cost of the trip (£1754):

£1754 - £350 = £1404

Then we need to divide the remaining amount of money (£1404) by the number of months Janice will be on holiday (6 months):

£1404 ÷ 6 months = £234 each month

Hope this helps!

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer:

60/9=6.66 everyone get 6.66

The correct answer is (c) sec^2α.

What is the Pythagorean theorem?

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

The expression tan^2α + 1/secα can be simplified using trigonometric identities. Recall the following trigonometric identities:

tan^2α + 1 = sec^2α (Pythagorean identity for tangent)

secα = 1/cosα (definition of secant)

Substituting these identities into the original expression, we get:

tan^2α + 1/secα = sec^2α + 1/secα

Now, we can combine the terms with a common denominator:

(sec^2α * secα + 1)/secα

Using the definition of secant (secα = 1/cosα), we can further simplify:

(1/cos^2α * 1/cosα + 1)/secα

Multiplying numerator and denominator by cos^3α, we get:

(1 + cosα)/secα

Recalling that secα = 1/cosα, we can replace secα with its definition:

(1 + cosα)/(1/cosα)

Finally, multiplying the numerator and denominator by cosα, we get:

cosα + 1/cosα

Hence, the equivalent expression for tan^2α + 1/secα is cosα + 1/cosα, which is equivalent to sec^2α for all values of α for which secα is defined. Therefore, the correct answer is (c) sec^2α.

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Answer:

Step-by-step explanation:

If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).

Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.

29C3 = 29!/(29-3)!3!

29C3 = 29!/(26!)!3!

29C3 = 29*28*27*26!/26!3*2

29C3 = 29*28*27/6

29C3 = 3,654 different ways.

This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer: C. 4x^2/3 is ur answer

The actual difference between the two sequences would depend on the individual statements and their purpose within the source program.

The difference between the two sequences of statements with the symbols alpha and beta lies in the functionality and the way they are executed in a source program.

Sequence 1 (with alpha):
In this sequence, the alpha symbol is used as a label to identify a specific point in the source code.

This label is usually followed by one or more statements that need to be executed when the program reaches this point.

When the program encounters the alpha label, it jumps to that location and executes the statements that follow the label.

This is useful when you want to branch or loop to a specific part of the code.
Sequence 2 (with beta):
In this sequence, the beta symbol is used as a label, just like alpha.

However, the statements following the beta label might be different in terms of functionality, purpose, or the order in which they are executed.

When the program encounters the beta label, it jumps to that location and executes the statements that follow the label, just like it does with alpha.

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The values of z in the regular polygon  is 21.

A regular polygon is a polygon with congruent sides and equal angles.

To calculate the value of z in the regular polygon, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1 and solve for z

Hence, the values of z is 21.

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Answer:

Salt is sodium.

Answer:

Salt is Sodium.

Step-by-step explanation:

When you break down the compounds of salt you find molecules of sodium thus saying that salt is made up of sodium molecules.

Answer: 473 square meters

Step-by-step explanation:

The equation that best represents the graph shown is y = -2(x - 1)² + 6.

It should be noted that l the endpoints are pointing down we know this is a reflection.

If you look at the graph and point (1,6), we can see x has been shifted to the right 1. All the equations have this, which we can see here(x - 1).

The -1 tells the graph to shift 1 spot to the right. Well, if you look at the graph you will notice the maximum point is at (1,6). Notice y = 6. This tells us the graph was shifted up 6 points. To shift up we have to add 6.

That leaves us with our answer which is

y = -2(x - 1)² + 6.

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The P-value is between 0.025 and 0.05. and t = -1.85

On the SAT exam a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator.

Therefore tests the hypotheses:

\(H_0\) : μ = 25 versus Ha: μ < 25,

where μ = the true mean amount of time needed by students at this school to complete this portion of the exam.

The alternative hypothesis is:

\(H_1:\mu < 25\)

The test statistic is given by:

\(t=\frac{x-\mu}{\frac{s}{\sqrt{n} } }\)

The parameters are:

the values of the parameters are:

x = 23.5 , \(\mu=25\) , s = 4.8, n = 35

Plug all the values in above formula of t- statistic is:

\(t = \frac{23.5-25}{\frac{4.8}{\sqrt{35} } }\)

t = -1.85

Using a t-distribution , with a left-tailed test, as we are testing if the mean is less than a value and 35 - 1 = 34 df, the p-value is of 0.0365.

t = –1.85; the P-value is between 0.025 and 0.05.

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Answer:

180 \(cm^2\)

Step-by-step explanation:

L x W x H

6 x 5 x 6

180

Answer:  180 cubic centimeters

Step-by-step explanation:

Each little blue cube measures 1 cm in each direction - width, height, and depth.

The volume of the whole figure is just the volume of all the little cubes, added up.

The block of cubes is 5 cubes wide and has a depth of 6 cubes. So each horizontal layer is 5 * 6 = 30 cubes, total.

The block of cubes is 6 layers deep, so we have 6 layers of 30 cubes each = 6 * (30 cubes) = 180 cubes in all.

Each cube is 1 cubic centimeter (abbreviated 1 cc), so 180 of them have a combined volume of 180 cc.

A shorter way to say all this is to say that V = width * depth * height =

    = 5 cm * 6 cm * 6 cm = (5)(6)(6) cm³ = 180 cubic centimeters