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A car's speedometer has a percent error of 5%. The actual speed of the car is 60 mph.

Which statement describes what speed the speedometer could show?


A: The speedometer shows either 57 mph or 63 mph.

B: The speedometer shows either 58 mph or 62 mph.

C: The speedometer shows either 55 mph or 65 mph.

D: The speedometer shows either 30 mph or 90 mph.

Answer: D

Step-by-step explanation:

(7,-2)

Answer:

Proportional relationship:

Use a pair of points (0.14, 0.7) to find the value of k:

The function is:

Fill in the table:

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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Answer:

C

Step-by-step explanation:

All sides make a cube

Answer:

D

Step-by-step explanation:

Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

Answer:

19

Step-by-step explanation:

First we need to add all these numbers together

20+25+7+27+18+17=114

Next, we have to divide all these numbers by the number of values there are.

If we count, there are 6 values that we added together.

After that, we divide 114 by 6 to get the answer

114/6=19.

Step-by-step explanation:

this is a college question ???

and you don't know how to do this ?

remember middle school and high school ? besides math classes themselves, did you never track your class scores and such ?

the average or mean value is always the sum of all data points divided by the number of data points.

here we have 6 data points.

the average is

(20+25+7+27+18+17)/6 = 114/6 = 19

Each silver bead costs $0.50, and each green bead costs $1.

Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.

According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.

The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.

Using this information, we can set up the following system of equations:

25s + 15g = 27.50 (Equation 1)

10s + 5g = 10 (Equation 2)

We can solve this system of equations using any appropriate method, such as substitution or elimination.

Let's use the elimination method to solve the system:

Multiplying Equation 2 by 3, we get:

30s + 15g = 30 (Equation 3)

Subtracting Equation 3 from Equation 1:

25s + 15g - (30s + 15g) = 27.50 - 30

-5s = -2.50

s = 0.50

Now, substituting the value of s into Equation 2:

10(0.50) + 5g = 10

5 + 5g = 10

5g = 5

g = 1

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The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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answer: A survey

explanation: The manager of the restaurant is conducting a survey to determine which sandwich is more preferred by customers. He is taking a random sample of customers that have tried both sandwiches and asking them which sandwich they like best. The survey method is a statistical way of collecting data and it is a non-experimental design, because the manager is not controlling the variables that may affect the outcome. The outcome of this survey is based on the customers' preference of the sandwiches, and it is a way to gather data on their opinion

The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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Sadie's workout will be 100 + (21d/20) yards.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.

Let's denote the distance Sadie needs to swim as "d" yards.

If Sadie swims at the rec center pool, she will swim the distance "d" by completing laps in a lane that is 15 yards long. She will also complete a 200-yard warmup, so her total distance swum will be:

d + 200

If Sadie swims at the indoor pool at her gym, she will complete a 100-yard warmup and then swim the distance "d" by completing laps in a lane that is 20 yards long. Let's denote the number of laps she needs to swim in this case as "n". Then:

20n = d

n = d/20

Since Sadie needs to swim the same distance in both pools, we can equate the total distance swum in both cases:

d + 200 = 100 + 20n

Substituting n = d/20, we get:

d + 200 = 100 + 20(d/20)

Simplifying this equation, we get:

d + 200 = d + 100

So, the distance Sadie needs to swim doesn't affect her total workout distance.

Therefore, Sadie's workout will be the same length regardless of which pool she chooses.

Her total workout distance will be the sum of her warmup distance and the distance she swims:

200 + d

or

100 + d + (d/20)

Simplifying the second expression, we get:

100 + (21d/20)

Therefore, Sadie's workout will be 100 + (21d/20) yards.

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Lena's total pay if she sells 29 copies of Math is Fun would be $4210.

Lena's total pay (P) to the number of copies of Math is Fun she sells (N) is:

P = 1600 + 90N

This equation shows that Lena's total pay is equal to her base salary of $1600 plus $90 for every copy of Math is Fun she sells.

To find Lena's total pay if she sells 29 copies of Math is Fun, we simply substitute N = 29 into the equation:

P = 1600 + 90(29)

P = 1600 + 2610

P = 4210

Therefore, Lena's total pay if she sells 29 copies of Math is Fun would be $4210.

Answer:

48 -52  and 64 - 66

Step-by-step explanation:

sence it dosent give exact numbers on the graph ur going to have to estimate then to find when it increases look for an interval were it goes up reading from left to right and for decreasing look for an interval that is going down reading the graph left to right

Answer:

5 mm

Step-by-step explanation:

Given:

A rectangular pyramid

h (height) = 4 mm

l (side length) = 6 mm

Find: s (slant height) - ?

There is a right triangle in the middle

The bottom leg is 3 mm, because it's half the side length of the square

According to that, we can find x by using the Pythagorean theorem:

\( {x}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25\)

\(x > 0\)

\(x = \sqrt{25} = 5\)

The standard deviation by the given  probability distribution is 3.3412.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

x P(x)

−5 0.17

−3 0.21

−1 0.09

3 0.23

5 0.23

7 0.07

Now,

To find the standard deviation, we need to use the formula:

standard deviation = sqrt[∑(x - μ)²P(x)]

where μ is the expected payout.

We have already calculated μ to be 0.76. Using this value and the given probabilities, we can calculate the standard deviation as:

standard deviation = sqrt[( (-5 - 0.76)² * 0.17) + ((-3 - 0.76)² * 0.21) + ((-1 - 0.76)² * 0.09) + ((3 - 0.76)² * 0.23) + ((5 - 0.76)² * 0.23) + ((7 - 0.76)² * 0.07)]

=3.3412

Therefore, by the given data the standard deviation will be 3.3412.

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The magnitude of the vector sum (A + B) is approximately 4.974.

To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.

Given:

Vector A: (5.1, 0)

Vector B: (-2.6, -4.3)

To find the vector sum (A + B), we add the corresponding components:

(A + B) = (5.1 + (-2.6), 0 + (-4.3))

= (2.5, -4.3)

Now, let's calculate the magnitude of the vector (2.5, -4.3):

Magnitude = sqrt((2.5)^2 + (-4.3)^2)

= sqrt(6.25 + 18.49)

= sqrt(24.74)

≈ 4.974

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Answer:

5

Step-by-step explanation:

There answer would be 5

Answer:

4r + 2s > 45

Step-by-step explanation:

:) :) :) :) :) :) :)

Answer:

x = 2

Step-by-step explanation:

By BPT

\( \frac{x + 1}{x} = \frac{6}{4} \\ \\ 4x + 4 = 6x \\ \\ 4 = 6x - 4x \\ \\ 4 = 2x \\ \\ x = \frac{4}{2} \\ \\ x = 2\)

A. Yes, the two expressions in discuss as given in the task content are; equivalent expressions.

B. The two expressions when simplified to the fewest terms is; 5m - 10. Hence, the two expressions are equivalent expressions.

It follows from the task content that the two expressions given are to be compared and determined if they are equivalent expressions.

A. By evaluation; using the Distributive property; we have;

3(m - 2) + 2(m - 2) = 3m - 6 + 2m - 4 = 5m - 10.

Also; 5(m - 2) = 5m - 10.

Therefore, the two expressions are equivalent.

B. Since both expressions given can be written in fewest terms as; 5m - 10, the expressions are equivalent. Hence, the two expressions are said to be equivalent expressions.

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The function g(x), considering that h(x) is the composite function of f(x) and g(x), is given as follows:

g(x) = x + 6.

The composite function of f(x) and g(x) is given by the following rule:

h(x) = (f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

Hence the function g(x) is defined as follows:

g(x) = x + 6.

As the application of the composite function is given as follows:

\(h(x) = (f \circ g)(x) = f(x + 6) = \sqrt[4]{x + 6 + 1} = \sqrt[4]{x + 7}\)

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Answer: The answer is C.

Step-by-step explanation:

It is definitely not B because the average of the numbers compared to what that shows don't make sense.

The biggest number that you gave us is 34 but on option A, it looks like its 30 or 31. So that's not correct.

Finally, it can't be D because the biggest number shown there is 35 when it actually is 34.

I hope I was able to help!

Good luck and have a great day :)

A linear function that is represented by the graph include the following: B. y = -1/2(x) + 1.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (0, 1), a linear function in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 1 = (-1 - 1)/(4 - 0)(x - 0)

y - 1 = -2/4(x - 0)

y = -1/2(x) + 1

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Answer: 46 ft by 92 ft

Step-by-step explanation:

The largest area is enclosed when half the fence is used parallel to the wall and the other half is used for the two ends of the fenced area perpendicular to the wall. Half the fence is 184 ft/2 = 92 ft. Half that is used for each end of the enclosure.

The graphs of the two linear functions can be seen at the end of the answer.

To graph linear equations, we first need to find two points that belong to the line, and then we just need to connect them with a line.

A) Here we have:

y - 2x = 0

Isolating y we get:

y = 2x

Now we just evaluate it, I will use x = 0 and x = 1.

for x = 0:

y = 2*0 = 0

Then we have the point (0, 0)

For x = 1:

y = 2*1 = 2

Then we have the point (1, 2)

Now we just need to plot these two points and connect them with a line.

B) We do the same thing than before, evaluate in x = 0 and x  = 1

for x = 0:

y = -2*0 = 0

We have the point (0, 0)

For x = 1

y = -2*1 = -2

We have the point (1, -2)

Now that we have all the needed points we can graph both functions, the graphs can be seen below, where the green line is the one from point A, and the blue line is the one from point B.

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When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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