Gary's cat weighs 11 pounds. How many ounces does Gary's cat weigh?

Answer: 1/7

Step-by-step explanation:

There are total of 7 gloves

There is 1 black glove

So take 1 divided by 7

The Fraction is 1/7

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Store B is offering the best unit rate for bananas.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

Grocery Store A is selling bananas for $0.75 for 12 pounds.

The unit rate will be = 0.75/12 = 0.06

Grocery Store B is selling 5 pounds of bananas for $3.75.

The unit rate will be = 3.75/5 = 0.75

Hence, Store B is offering the best unit rate for bananas.

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The value of x = 4

The value of y = 3

7x + y = 33    ......eq(1)

3x + y = 17     .....eq(2)

Here subtract eq(2) from eq(1), we get

4x = 16

therefore x = 16/4

x = 4.

Now to get the 'y' value, substitute the 'x' value in eq(2)...

3(4) +y = 17

y = 5

Therefore,

x = 4

y = 3

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Answer: 25 cars

Step-by-step explanation:

Take 10 divided by 8 = 1.25 car per men

Then take 1.25 times 20 = 25 cars

Answer:

8

Step-by-step explanation:

x=-4 perfectly suits x<=-1 since -4<=-1

Hence, when calculating g(-4), you need to apply the expression -x+4

Hence:

g(-4)=

-x+4=

-(-4)+4= ==>   plug in -4 for x

4 + 4 = 8   ==> Negating a negative number is equaled to taking the

                       positive number.

The residual plot is illogical because it should have a nonlinear curve given that the scatter plot is negative.

A graph where the values of two variables are shown along two axes, showing any correlation via the positioning of the points that results.

A scatter plot is a collection of dots arranged along an axis that runs horizontally and vertically. Scatter plots are essential in statistics because they can show the strength, if any, of the relationship between the values of observed quantities or occurrences (called variables).

It is clear from the scatter plot that it is a nonlinear curve with negative points. Consequently, the Residual plot is illogical because it should have a nonlinear curve given that the scatter plot is negative.

Therefore, the correct answer is option c) The random residusl plot does not make sense because it should have a noninar curve, as the scatter plot is negative.

The complete question is:

The relationship of miles per gallon of SUVs to weight is represented by the following scatter plot:

Beatrice created the following residual plot:

Does her residual plot make sense based on the scatter plot? Explain.

a) The random residual plot makes sense because the scatter plot appears to have a negative relationship.

b) The random residual plot does not make sense because it should have a linear relationship like the scatter plot.

c) The random residusl plot does not make sense because it should have a noninar curve, as the scatter plot is negative.

d) The random residual plot makes sense because the scatter plot appears to have a lines relationship.

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Given that the scatter plot is negative, the random residual plot should have a nonlinear curve, which is why it is illogical.

What is a scatter plot?

From the question, the chart that shows the values of two variables along two axes and shows any correlation via the placement of the points is a scatter plot.

It is a collection of dots that are plotted along a horizontal and vertical axis. Scatter plots are essential in statistics because they can show the level of relationship, if any, between the values of observed quantities or occurrences (called variables).

The scatter plot is a nonlinear curve with negative points, as may be seen.

As a result, the Residual plot is illogical because, given that the scatter plot is negative, it should have a nonlinear curve.

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Answer:

67 days

Step-by-step explanation:

40.2/0.6 = 67

Answer: 67 days

Answer:

1. 45*4 = 180
2. 65*5= 325
3. 77*6=462
4. 89*7= 623

5. 52*3= 156

Answer:

5.8

13.25

22.62

34.23

16.56

Step-by-step explanation:

Using the z-distribution, it is found that the 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

We are given the standard deviation for the population, hence, the z-distribution is used. The parameters for the interval is:

Sample mean of  [tex]x = 12.7[/tex]

Population standard deviation of  [tex]\sigma = 6.37[/tex]

Sample size of .n = 50

The margin of error is:

[tex]M = z \frac{\sigma }{\sqrt{n} }[/tex]

In which z is the critical value.

We have to find the critical value, which is z with a p-value of  [tex]\frac{1+\alpha }{2}[/tex] , in which  [tex]\alpha[/tex] is the confidence level.

In this problem, , thus, z with a p-value of , which means that it is z = 1.96.

Then:

[tex]M= 1.96\frac{6.37}{\sqrt{50} } = 1.77[/tex]

The confidence interval is the sample mean plus/minutes the margin of error, hence:

x- M = 12.17 - 1.77 =10.4

x+M = 12.17 + 1.77 = 13.94

The 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

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II and III only distributions has a mean that varies

The mean of a distribution is a measure of the central tendency of the data, and it can vary depending on the sample being analyzed.

For the population distribution, the mean is a fixed value that is calculated using all of the data in the population. The mean of the population distribution does not vary.

For the distribution of sample data, the mean is calculated using the data in the sample. If you take different samples from the same population, the mean of each sample will be different, so the mean of the distribution of sample data varies.

For the sampling distribution of the sample mean, the mean is calculated using the means of multiple samples. The mean of the sampling distribution is known as the population mean. As with the distribution of sample data, the mean of the sampling distribution varies depending on the samples that are used to calculate it.

Therefore, the mean of the distribution of sample data and the sampling distribution of the sample mean both vary, while the mean of the population distribution does not vary.

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Probability of getting head = 0.45

Probability of getting tail = 1- 0.45

                                         = 0.55

No of flip flops = 10

Answer:There are no choices but i do this type of work on edge so i could proably do it without the choices.

Step-by-step explanation:Answer would be (3x-2)(2x+3)

3x times 2x would be 6x squared  3x times 3 is 9x -2 times 2x is -4x

9x-4x is 5x and -2 times 3 is -6

Hope this helps:)

HAPPY NEW YEARS

(D) ASA is not a similarity criterion for two triangles.

If two triangles fit one of the following descriptions, they are similar: Angles in two pairs that are corresponding are equal.

The ratio of three sets of corresponding sides is three.

The comparable angles between two pairs of corresponding sides are equal and proportional.

You can use three triangle-specific theorems to quickly distinguish similar triangles.

There are three theorems that can be used to determine whether two triangles are similar: Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS).

The triangles' potential similarity criteria are Angle-Angle-Angle (AAA), Side-Angle-Side (SAS), and Side-Side-Side (SSS).

Angle-side-angle (ASA) is thus a choice from the available possibilities to check the congruence of the triangle rather than its similarity.

Therefore, (D) ASA is not a similarity criterion for two triangles.

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Correct question:
Which of the following is not a similarity criterion for two triangles

(A) ASA

(B) SAS

(C) SSS

(D) ASA?

if (x+2)² = k , making x the subject is x = √k - 2

The subject of a formula is the variable that is being worked out. It can be recognised as the letter on its own on one side of the equals sign.

For example, if V = πr²h and we want to make r the subject of the formula, we make r in place of V.

Therefore r² = V/πh

r = √ (V/πh)

Similarly

(x+2)² = k

when we square root both sides

x+2 = √k

Collecting like terms

x = √k - 2

therefore making x the subject in the formula (x+2)² = k in terms of k is x = √k - 2

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The probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3 is 0.7295

Binomial Distribution

The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials. In a Bernoulli trial, the experiment is said to be random and can only have two possible outcomes- success or failure.

In a binomial distribution the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.

Mean rate of lost time accident = 0.3 per day

probability that the number of lost-time accidents occurring over a period of 7 days will be no more than 3.

n = 7

Using binomial distribution formula :

P(x ≤3)

Probability of success (p) = 0.3

1 - p = 1- 0.3 = 0.7

nCx * p^x * (1 - p)^(n-x)

Using the binomial probability distribution calculator to save computation time :

P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668

P(x ≤3) = 0.7295

0.7295

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The solution of the given equation is:

[tex]\frac{log 9}{Log 2} - 1[/tex]  = 2.16992500144

Logarithm:

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8. Similarly, 2 = log10 100 because 102 = 100. The latter kind of logarithm (that is, the base 10 logarithm) is called the ordinary logarithm or the Briggs logarithm and simply write log n.

Invented in the 17th century to speed up calculations, logarithms greatly reduced the time required to multiply large numbers. These were the basis of numerical computation for over 300 years until the mechanical calculator of the late 19th century and his 20th century computer sophistication made it obsolete for large-scale calculations. However, the natural logarithm (with base e ≅ 2.71828 and written ln n) continues to be one of the most useful functions in mathematics, being applied to mathematical models in the physical and biological sciences.

According to the question:

2ˣ=4.5

Take the logarithm of both sides of the equation

log2ˣ = log9 / 2

x . log2 = log9 − log2

divide both sides of the equation by log 2:

          [tex]\frac{x Log 2}{Log 2} = \frac{Log 9 - Log 2}{Log 2}[/tex]

⇒  x = [tex]\frac{log 9}{Log 2} - 1[/tex]

⇒ x = 2.16992500144.

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Step-by-step explanation:

when you look at that right-angled triangle that is created by the plank as Hypotenuse (the side opposite of the 90° angle), and the distance on the ground from the wall and the height on the wall (from ground to the plank) as the legs, we know that the Hypotenuse (the plank) is the radius of the trigonometric circle we can draw there, and the 15 m ground distance from the wall is

cos(our angle) × radius

15×sqrt(3) × cos(our angle) = 15

cos(our angle) = 1/ sqrt(3) = 0.577350269...

our angle = 54.73561032...°

The necessary phrase will be s≥150 because the bullet train's cruising speed will be greater than 150 mph.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A group of numbers that have been written together using the arithmetic operations addition, subtraction, multiplication, and division is known as a numerical expression in mathematics. The number can be stated in a variety of ways, including verbally and numerically.

Here,

No less than" means "greater than or equal to" (≥).  

So you want s to be greater than or equal to 150 mph.  

s≥150

The required expression will be s≥150 as the cruising speed of the bullet train will be in excess of 150 miles per hour.

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By using the tabular data given , the complete relative frequency table has been shown below

What is tabular data?

Data given in the form of rows and columns is known as tabular data.

The relative frequency table has been shown below

Frequency of students who like to like to fly and can drive = 0.32

Total frequency of students who like to fly = 0.70

Frequency of students who like to like to fly cannot drive = 0.70 - 0.32 = 0.38

Frequency of students who can drive = 0.45

Frequency of students who cannot drive = 0.55

Frequency of students who do not like to fly can drive = 0.45 - 0.32 = 0.13

Frequency of students who do not like to fly cannot drive = 0.55 - 0.38 = 0.17

Total frequency of students who do not like to fly = 0.13 + 0.17 = 0.30

The complete relative frequency table is

                                 Can drive       Cannot drive     Row totals

Like to fly                    0.32                  0.38                 0.70

Do not like to fly          0.13                  0.17                  0.30

Column totals              0.45                 0.55                   1

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The exponential equation may be solved using log base x and log base 10 logarithm bases. The right answer is D.

Finding the base of the logarithm that may be used to determine the value of x is necessary in order to solve an exponential equation with the form log base x (y) = z.

The equation log base x (y) = z applies here. Let's explore each possible logarithm base:

Log base x: The problem may be solved directly using this logarithm base. The value of x that the equation requires may be discovered using the logarithm base x.

Log base 25: The problem cannot be properly solved using this logarithm base. It does not work with the provided equation.

Log base 4: The equation cannot be properly solved using this logarithm base. It does not work with the provided equation.

Log base 10: The problem may be readily solved using this logarithm basis. To determine the value of x that the equation requires, use the logarithm base 10 function.

The logarithm bases that may be utilised to solve the exponential equation based on the provided parameters are log base x and log base 10.

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Answer:

3 years

Step-by-step explanation:

L=Lawson. TL=total inches for Lawson's tree

E=Ezra. TE=total inches for Ezra's tree

x=number of years

L ==> TL=3x+14

E ==> TE=5x+8

Now, try to find when the heights are equal by setting both equations equal to each other:

TL = TE

3x+14 = 5x+8

3x-3x+14 = 5x-3x+8  ==> subtract 3x on both sides to isolate x to one side

14 = 2x + 8

14 - 8 = 2x + 8 - 8  ==> subtract 8 on both sides to isolate x

6 = 2x

x = 6/2 ==> simplify

x = 3 years

In this experimental design, the y variable is the testosterone levels.

A variable is defined as any symbol or letter that is used to express an unknown quantity. There are two types of variables: the dependent variable (y variable) and the independent variable ( x variable).

An independent variable (x variable) is the variable which causes the change in another variable.

A dependent variable (y variable) is the result or effect of that change in the dependent variable.

If we are interested in what happens to testosterone levels as the men age in adult men ages 18 years and older, then the x variable is the age and the y variable is the testosterone levels.

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Answer:

3x-4=2x+7 thus: (D)

x = 11

Step-by-step explanation:

Solve for x:

3 x - 4 = 2 x + 7

Subtract 2 x from both sides:

(3 x - 2 x) - 4 = (2 x - 2 x) + 7

3 x - 2 x = x:

x - 4 = (2 x - 2 x) + 7

2 x - 2 x = 0:

x - 4 = 7

Add 4 to both sides:

x + (4 - 4) = 4 + 7

4 - 4 = 0:

x = 7 + 4

7 + 4 = 11:

Answer: x = 11

___________________________

Solve for x:

4 - 2 (x - 5) = x - 19

-2 (x - 5) = -2 x + 10:

(-2 x + 10) + 4 = x - 19

Add like terms. 4 + 10 = 14:

-2 x + 14 = x - 19

Subtract x from both sides:

(-2 x - x) + 14 = (x - x) - 19

-2 x - x = -3 x:

-3 x + 14 = (x - x) - 19

x - x = 0:

-3 x + 14 = -19

Subtract 14 from both sides:

(14 - 14) - 3 x = -14 - 19

14 - 14 = 0:

-3 x = -14 - 19

-14 - 19 = -33:

-3 x = -33

Divide both sides of -3 x = -33 by -3:

(-3 x)/(-3) = (-33)/(-3)

(-3)/(-3) = 1:

x = (-33)/(-3)

The gcd of -33 and -3 is -3, so (-33)/(-3) = (-3×11)/(-3×1) = (-3)/(-3)×11 = 11:

Answer: x = 11

Answer:3x-4=2x+7

Step-by-step explanation:

first,  4-2x+10=x-19

        14+19 =x+2x

           33=3x

               x=11

A. 2x+10=8

    2x= -18

      x=-9

B. 3x-9=9

       3x=18

         x=6

C. x+2=2x-3

      3x = 5

         x = 5/3

D. 3x-4 = 2x+7

    3x-2x=7+4

          x=11

The value of 2 divided by 3 is 0.67

From the question, we have the following parameters that can be used in our computation:

2 divided by 3

To start with, we need to represent the expression properly as a quotient

So, we have the following representation

2 divided by 3 = 2/3

Evaluate the quotient expression using a calculator

This gives

2 divided by 3 = 0.67

Hence, the solution to 2 divided by 3 is 0.67

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