HELP
Michelle jogs 3 miles in 36 minutes. At the same rate, how many miles would she jog in 60 minutes?
A. 6.5

B. 6

C. 4.5

D. 5
Explain you work pls

Answer:

See pictures below

Step-by-step explanation:

Desmos is a free graphing calculator.  Draw the line of the equation and then < will be everything below the line and > will be everything above the line.  The portion that is shaded by both colors is the answer.

y = mx + b

The "b" part of the equation tells you the point that the graph crosses the y axis.

The "m" part is the slope.  The rise over the run.

The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.

It is given that the value of p and q is a prime number, and p<q.

But it is also given that the value of both should be less than 18 as well as a prime number.

Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.

And it is also given that p<q.

Now we have to find the value of p + q which is odd but not a prime number.

To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.

So

p + q = 2 + 5 = 7, which is odd but it is prime

Now again, q = 7

p + q = 2 + 7 = 9 , which is odd as well as not prime.

Again take q = 11

p + q = 2 + 11 = 13, which is odd but prime

Now take q = 13

p + q =  2 + 13 = 15, which is odd as well as not prime.

Now take q = 17

p + q = 2 + 17 = 19, which is odd and prime.

Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.

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Answer:

Step-by-step explanation:

Answer: There are 863,040 possible ways

Step-by-step explanation: There are 32 members altogether in the club. So in order to elect a president from among all of them, if every one of them has a chance if being elected, there would be 32 possible chances for every single club member.

However, as long as one member has been elected as president, that leaves others with a 31 chance per person arrangement.

Therefore, all possible permutations of electing four officers from a club of 32 members can be expressed as

32! (Thirty two factorial) which can be simplified as

32 x 31 x 30 x 29 and that equals 863,040.

863,040 possible ways of electing four officers from a club of 32 members.

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Answer:

61 degrees

Step-by-step explanation:

180 - 58 = 122

Since both sides are congruent, 122/2 = 61

Answer:

61

Step-by-step explanation:

Since ED and EF are congruent, Angle D = Angle F meaning angle F is also x degrees.

From here, we can use the total sum of angles in a triangle = 180 to calculate x:

180 = 58 + x + x

180 = 58 +2x

122 = 2x

x= 61 degrees

9.  A normally distributed data set has a µ = 10, the z score for 10 is 0.

10. It is true that the standard deviation is needed to convert a raw score to a z-score.

11. The total percentage between a standard deviation of -2 and 1 is given as follows: 81.85%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The z-score for the mean is given as follows:

Z = 0/s

Z = 0.

The p-values relative to z-scores between -2 and 1 are given as follows:

Hence the percentage is given as follows:

84.13 - 2.28 = 81.85%.

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the volume of the silo is approximately 11,657.88 cubic meters.

To find the volume of the silo, we need to calculate the volumes of the cylinder and the cone separately, and then add them together.

The radius of the base of the silo is half the diameter, so it's 10 meters / 2 = 5 meters.

The height of the cylinder is given as 27 meters. Since the height of the cone is half the height of the cylinder, the height of the cone is 27 meters / 2 = 13.5 meters.

The volume of a cylinder is calculated using the formula:

Volume of Cylinder = π * radius^2 * height

Plugging in the values, we get:

Volume of Cylinder = π * 5^2 * 27 = 3375π cubic meters (approximately 10,598.07 cubic meters)

The volume of a cone is calculated using the formula:

Volume of Cone = (1/3) * π * radius^2 * height

Plugging in the values, we get:

Volume of Cone = (1/3) * π * 5^2 * 13.5 = 337.5π cubic meters (approximately 1059.81 cubic meters)

Adding the volumes of the cylinder and the cone, we get:

Volume of Silo = 3375π + 337.5π = 3712.5π cubic meters (approximately 11,657.88 cubic meters)

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The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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Answer:

  98,643

Step-by-step explanation:

You want the least falling number greater than 98,642.

The units digit must be less than the tens digit, so can be as large as 4-1 = 3. The units digit in the given number is 2, so making it be 3 will give a number larger.

The least falling number greater than 98,642 is 98,643.

The value of MB equal x which is equal to 50.6 as the two triangles are similar triangles.

Based on the given information, MNP has a segment AB which is parallel to NP. As AB and NP are parallel and MN is transverse. Therefore, ∠MAB ≅ ∠MNP.  According to Angle – Angle property of similarity, triangle MNP and triangle MAB are similar triangle. If two pairs of corresponding angles are congruent in two triangles, then the triangles are similar. The corresponding sides of similar triangles will be in the same ratio. Hence,

MA/MN = MB/MP

MA = MN – AN = 46.2 – 14 = 32.2

Hence,

32.2/46.2 = x/72.6

x = 50.6

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Answer:

B

Step-by-step explanation:

Answer:

I believe the first answer is correct

The hypotheses for this experiment are:

Null Hypothesis (H0): The die is fair, and the probability of rolling a 4 is equal to 1/6.

Alternative Hypothesis (Ha): The die is loaded, and the probability of rolling a 4 is greater than 1/6.

In this case, the avid Yahtzee player wants to test whether his lucky die is loaded in favor of rolling 4's more often than any other number. The null hypothesis assumes that the die is fair, meaning all outcomes (including rolling a 4) have an equal probability of 1/6. The alternative hypothesis suggests that the die is loaded and that the probability of rolling a 4 is greater than 1/6.

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The fourth roots of the complex number 8 - 83i are located on the complex plane in four equally spaced positions around the origin. They can be represented as 2 complex numbers in the form a + bi, where a and b are real numbers.

To find the fourth roots of a complex number, we can use the polar form of complex numbers. The given complex number, 8 - 83i, can be expressed in polar form as r(cosθ + isinθ), where r is the magnitude of the complex number and θ is the argument.

First, let's find the magnitude and argument of 8 - 83i. The magnitude (r) can be calculated using the formula r = √(a^2 + b^2), where a and b are the real and imaginary parts of the complex number. In this case, a = 8 and b = -83. Thus, the magnitude is r = √(8^2 + (-83)^2) = √(64 + 6889) = √6953.

The argument (θ) can be determined using the formula θ = arctan(b/a). Substituting the values, we get θ = arctan((-83)/8) ≈ -1.483.

Now, to find the fourth roots, we divide the argument by 4 and find the values of θ/4. In this case, θ/4 ≈ -0.371.

The fourth roots can be expressed as r^(1/4) * [cos((θ + 2kπ)/4) + i*sin((θ + 2kπ)/4)], where k = 0, 1, 2, 3.

Substituting the values, we get the four roots as follows:

Root 1: √(√6953) * [cos((-1.483 + 2(0)π)/4) + isin((-1.483 + 2(0)π)/4)]

Root 2: √(√6953) * [cos((-1.483 + 2(1)π)/4) + isin((-1.483 + 2(1)π)/4)]

Root 3: √(√6953) * [cos((-1.483 + 2(2)π)/4) + isin((-1.483 + 2(2)π)/4)]

Root 4: √(√6953) * [cos((-1.483 + 2(3)π)/4) + isin((-1.483 + 2(3)π)/4)]

These roots will be located on the complex plane at four equally spaced positions around the origin, based on their angles from the positive real axis. To sketch them accurately, the values of the roots need to be computed and plotted using appropriate scales for the real and imaginary axes.

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The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.

Functions are found all across mathematics and are required for the creation of complex relationships.

If f(x) = 2x – 5 and g(x) = x² – 4x – 8.

Then the function (f+ g)(x) will be

(f+ g)(x) = f(x) + g(x)

(f+ g)(x) = 2x – 5 + x² – 4x – 8

(f+ g)(x) = x² – 2x – 13

Then the correct option is A.

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Pick any two pairs of equations from the system. Eliminate the same variable from each pair using the Addition/Subtraction method. Solve the system of the two new equations using the Addition/Subtraction method. Substitute the solution back into one of the original equations and solve for the third variable.

In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables (x,y,z)  is called an ordered triple.

To find a solution, we can perform the following operations:

Graphically, the ordered triple defines the point that is the intersection of three planes in space. You can visualize such an intersection by imagining any corner in a rectangular room. A corner is defined by three planes: two adjoining walls and the floor (or ceiling). Any point where two walls and the floor meet represents the intersection of three planes.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The test statistic would be a two-sample t-test, which compares the means of two independent samples by calculating the difference in means between the two samples and dividing the difference by the standard error of the difference.

In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).

Describe a percentage example.

The hundredth component, one percent (symbolized as 1%), is expressed as 100 percent, and 200 percent denotes double the quantity specified. For example, 1% of 1,000 chickens equals 1/100 of 1,000, or 10 chickens, and 20% of the total is equal to 20% of 1,000, or 200.

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Answer:

X=9

Step-by-step explanation:

3x + 67 + 4x + 50 = 180

7x+117=180

7x=63

x=9

___________________________________________

CHECK

3(9)+67+4(9)+50=180

27+67+36+50=180

180=180

Answer:

m∠DBC = 86°

Step-by-step explanation:

Find the variable, x.  First, combine like terms. Like terms are terms with the same amount of the same variable:

3x + 4x + 67 + 50 = 180

(7x) + (117) = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis,

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 117 from both sides of the equation:

7x + 117 (-117) = 180 (-117)

7x = 180 - 117

7x = 63

Next, divide 7 from both sides of the equation:

(7x)/7 = (63)/7

x = 63/7 = 9

x = 9

Next, plug in 9 for x in the angle DBC:

m∠DBC = 4x + 50

             = 4(9) + 50

             = 36 + 50

             = 86°

m∠DBC = 86°

Answer:

I THINK ITS MC

Step-by-step explanation:

Answer: The slope is -0.7, the rise is -1.4, and the run is 2

Answer:

Step-by-step explanation:

The relation in the table has greater value as 9 > 0

f(x) = 34, find x:

Answer:

x=6+\(\sqrt{x}\)31

Answer:

x = 10

Step-by-step explanation:

8 + X - 3

Let x = 5

8+5-3

13-3

10

Answer: yes it is a solution

Step-by-step explanation: 2x+3>5 -> x>1

The required volume of Famotidine is 4 mL.

To calculate the required volume in milliliters (mL) for the provided dosage of Famotidine, we can use the following formula:

Volume (mL) = (Dosage ordered / Available dosage) * Volume per dose

We have:

Dosage ordered = 40 mg

Available dosage = 20 mg/2 mL (This means there are 20 mg of Famotidine in 2 mL)

Volume per dose = 2 mL

Let's substitute these values into the formula:

Volume (mL) = (40 mg / 20 mg) * 2 mL

Simplifying the expression:

Volume (mL) = 2 * 2 mL

Volume (mL) = 4 mL

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Answer:

the answer would be a % because of the divisibility rule

The fewest reported number of text messages sent, given the data is 62 (Option B)

The fewest number in a given data is simply defined as the smallest number in the data.

Considering the data given from the question, we can see that the smallest number in the data is 62

Thus, 62 is the fewest number in the data.

Therefore, the correct answer to the question is 62 (Option B)

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Complete question

The Box-and-Whisker Plot shown displays the number of text messages sent during the previous week. What is the fewest reported number of text messages sent? 62, 74, 82, 90, 99

A. 82

B. 62

C. 74

D. 90

Answer:

-3y+31

Step-by-step explanation:

hope it helps

Answer:

16 + 9 = 25

Step-by-step explanation:

For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)

And that the first number of each term increases by the value of the second term

(1 increases by 3; 4 increases by 5)

we can follow out these two observations to find T4

the first term (9) will increase by the value of the second term (7)

{the sum of the previous term is the first number}

so the first number of T4 will be 16.

Because we left off on +7, we are now on +9

so, T4 is

16 + 9 {and then do the math accordingly}

16 + 9 = 25

So, T4 is

16 + 9 = 25

hope this helps!! have a lovely day!! :)

Using unit conversion, it is obtained that it would take approximately 3,028,328 drops to fill a 40-gallon rain barrel.

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding.

Use the method of unit conversion.

First, we need to convert 40 gallons to milliliters, since we know the conversion rate of drops to milliliters.

We can use the following conversion factors -

1 gallon = 3,785.41 milliliters (exact)

1 gallon = 3,785,410 drops (since 20 drops = 1 milliliter)

So, 40 gallons is -

40 × 3,785.41 = 151,416.4 milliliters

To find how many drops it would take to fill this amount of space, use operation of multiplication.

Multiply the milliliters by the conversion factor -

151,416.4 × 20 = 3,028,328 drops

Therefore, the value is obtained as 3,028,328 drops.

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