Nadia typically type 32 word per minute, but her rate may vary by a much a 5 word per minute. Let x be the actual rate at which Nadia type. What i the range of rate, in word per minute, that Nadia could type?

Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer:

Cost per game

Step-by-step explanation:

Given

\(y = 3x + 1.25\)

Required

What does the slope represent?

First, we need to determine the slope

A general equation is of the form

\(y = mx + b\)

Where

\(Slope = m\)

By comparing:

\(y = mx + b\) to \(y = 3x + 1.25\)

\(m = 3\)

Hence, the slope is 3

From the question we understands that a certain amount is paid per games.

This amount is represented by the rate or slope.

So:

The slope is the cost per game

B is the answer if you look at the data the test gives you

Answer:

The answer is D.

Step-by-step explanation:

The difference between each term is 4.

-2 - (-6) = 4

2 - (-2) = 4

6 - 2 = 4

10 - 6 = 4

d. 4

here, -2-(-6)= -2+6=4

2-(-2)= 2+2=4

6- 2 = 4

10-6 = 4

so the common difference of them is 4.

Answer:

sorry di ko alam

Step-by-step explanation:

‍‍‍‍‍

Anurag walks 2 km every day on his way back.

i. To find the distance Anurag walks every day on his way back, we need to calculate the distance covered by walking.

Given that Anurag takes an auto to travel 1/6 of the total distance and covers 4/5 of the remaining distance by bus, the remaining distance he has to walk can be found by subtracting the distance covered by the auto and bus from the total distance.

Total distance = 12 km

Distance covered by auto = 1/6 * 12 km = 2 km

Remaining distance = Total distance - Distance covered by auto = 12 km - 2 km = 10 km

Distance covered by bus = 4/5 * 10 km = 8 km

Distance walked = Remaining distance - Distance covered by bus = 10 km - 8 km = 2 km

Therefore, Anurag walks 2 km every day on his way back.

ii. If Anurag goes to the office 5 days in a week, the total distance he walks every week can be calculated by multiplying the distance walked every day by the number of days he goes to the office.

Distance walked every week = Distance walked every day * Number of days

Distance walked every week = 2 km/day * 5 days/week = 10 km/week

Therefore, Anurag walks 10 km every week.

iii. Anurag walks some distance daily because the office is not directly accessible by auto or bus. Walking the remaining distance is necessary to reach his destination. Walking provides physical exercise and can also be a convenient and cost-effective mode of transportation for shorter distances. It allows Anurag to maintain an active lifestyle and may have additional benefits such as reducing carbon emissions and contributing to his overall health and well-being.

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Answer:

(-2,4)

Explanation:

Given the inequality:

The solution set is graphed on the number line below:

Answer:

3. 6

Step-by-step explanation:

X - y = 4 ( Equation 1 )

X + y =8 ( Equation 2 )

equation 1 + equation 2

; 2x = 12

x = 12÷2

x =6

hope it helps ☺️

Answer: n=6

Step-by-step explanation:

-25 is the  difference of outputs of any two inputs that are one value apart

A relation is a function if it has only One y-value for each x-value.

The given table of linear function

x          f(x)

-2         20

-1          -5

0           -30

1            -55

2          -80

The difference of outputs of any two inputs that are one value apart is -5-20=-25

Hence, -25 is the  difference of outputs of any two inputs that are one value apart

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Answer:

8 cm

Step-by-step explanation:

Th smaller rectangle is a scaled down version of the bigger rectangle. The smaller rectangle is 1/2 the size of the large one.

So we will multiply 4 by 2 to get 8 cm

Your correct answer is 8 cm :)

Hope this helps!

Please rate and mark brainliest!!

Have a great day!!

Answer:

the ratio of rectangle 1 the same with rectangle 2 so as you see in the photo the area of rectangle 2 equal 4×2 which we find it obviously of similar ratio

The all three given problem are equivalent to each other.

For the given three problems;

Problem 1: 64(2⁻ˣ)

Taking reciprocal of the (2⁻ˣ),

64/(2ˣ)   ....1

Problem 2: 64/2ˣ   ....2

Problem 3:  64(1/2)ˣ

Taking (1)ˣ = 1.

64/(2)ˣ   ....3

Thus, three equation 1, 2 and 3 are in the same form so are equivalent.

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2 · c + 2 · (c - 2) =

= 2c + 2c - 4 = 4c - 4 ← the end

Answer:

The perimeter is 4c - 4

Step-by-step explanation:

We will use the Rectangle Perimeter formula:

P = 2(l + w)

Given:

l = c

w = c - 2

Now, we just plug them into the formula:

P = 2(l + w)

P = 2(c + c - 2)

P = 2(2c - 2)

P = 4c - 4

Answer:

interesting

Step-by-step explanation:

Substitution with negative numbers gives the value 10/3

An algebraic expression can be defined as an expression that is composed of terms, constants, variables, factors and coefficients.

They are also made up of arithmetic and mathematical operations, such as;

From the information given, we have that;

1 + (-2/3) - (-m), m = 9/2

Now, expand the bracket

1 - 2/3 + m

Now, substitute the values into the formula, we get;

1 - 2/3 + 9/2

Find the least common denominator

6 - 4 + 18 /6

Add the numerators

20/6

10/3

Hence, the value is 10/3

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Answer:

2, 13, 38

Step-by-step explanation:

To find the range, find the value of f(x) for each element in the domain.

\(f(-2)=7(-2)^2-4(-2)+2=28+8+2=38 \\ \\ f(-1)=7(-1)^2-4(-1)+2=7+4+2=13 \\ \\ f(0)=2\)

By solving the inequality we get that the cheapest ticket is $29.

Here given,

If x is the number of $2 dollar increases required to meet her goal, then the minimum number of increases required is:

-100x² + 15,750x + 212,500 ≥ 243,600

- 100x² + 15,750x - 31,100 ≥ 0

x² - 157.5x + 311 ≥ 0

x = (157.5 ± \(\sqrt{157.5^{2} - (4*1*311 }\) ) / 2

x1 = 2

x2 = 155.5

The only conceivable value is x = 2 $2 increases

If the original cost was $25, the new rice needed to meet Amy's goal is:

P = 25 + 2 x 2

P = $29

The cheapest ticket is $29.

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To calculate the sales tax on a $15,000 car with a 5% sales tax rate, you convert the percentage into decimal form, and then multiply by the purchase price. This calculation results in $750 making the correct answer option c).

The subject of this question is calculating the amount of sales tax for a purchase, specifically, a car. In this case, the sales tax is given as 5% of the purchase price. The purchase price of the car is $15,000.

Calculating the sales tax involves multiplying the purchase price by the sales tax rate (expressed as a decimal). Therefore, to determine the sales tax on this purchase:

The sales tax on a $15,000 car at a rate of 5% is thus $750. That makes choice c) the correct answer.

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The population mean is greater than $12.5, assuming that we know the population standard deviation is equal to 6.75.

To test whether we can infer at the 5% significance level that the mean fee for car washers (including tips) is greater than $12.5, we need to perform a one-sample t-test with the following hypotheses:

Null hypothesis: μ ≤ $12.5

Alternative hypothesis: μ > $12.5

We will use a t-distribution with degrees of freedom (df) equal to n-1 = 15-1 = 14.

The test statistic is given by:

t = (x - μ) / (s / sqrt(n))

where x is the sample mean, s is the sample standard deviation, and n is the sample size.

Substituting the given values, we get:

t = (14.9 - 12.5) / (6.75 / sqrt(15)) = 2.28

The critical value for a one-tailed test with α = 0.05 and df = 14 is 1.761. Since our calculated t-value (2.28) is greater than the critical value (1.761), we reject the null hypothesis and conclude that we can infer at the 5% significance level that the mean fee for car washers (including tips) is greater than $12.5.

To test whether we can infer at the 5% significance level that the population mean is greater than $12.5, assuming that we know the population standard deviation is equal to 6.75, we need to perform a z-test with the following hypotheses:

Null hypothesis: μ ≤ $12.5

Alternative hypothesis: μ > $12.5

We will use a standard normal distribution.

The test statistic is given by:

z = (x - μ) / (σ / sqrt(n))

where σ is the population standard deviation, which is given as 6.75.

Substituting the given values, we get:

z = (14.9 - 12.5) / (6.75 / sqrt(15)) = 2.28

The critical value for a one-tailed test with α = 0.05 is 1.645. Since our calculated z-value (2.28) is greater than the critical value (1.645), we reject the null hypothesis and conclude that we can infer at the 5% significance level that the population mean is greater than $12.5, assuming that we know the population standard deviation is equal to 6.75.

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Answer:

y = 20

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 5 when x = 3 and z = 4

5 = k × 3 × 4 = 12k ( divide both sides by 12 )

\(\frac{5}{12}\) = k

y = \(\frac{5}{12}\) xz ← equation of variation

When x = 6 and z = 8 , then

y = \(\frac{5}{12}\) × 6 × 8 = \(\frac{5}{12}\) × 48 = 5 × 4 = 20

Answer:

The interquartile range of the players' weights = 48 pounds.

Step-by-step explanation:

The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.

It should be noted that the following is true for a boxplot.

A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.

The elements of the box plot are described thus;

The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.

The horizontal line inside the box is the median.

The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.

Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.

So, it is evident that for this question,

First quartile = 174 pounds

Third quartile = 222 pounds

Inter Quartile Range = (Third quartile) - (First quartile)

= 222 - 174

= 48 pounds.

Hope this Helps!!!

Answer:A(24,48) B(72,24)

The factorization of the polynomial b³-1000 is (b-10)(b²+10b+100).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given expression is b³-1000.

Here, b³-1000=b³-10³

Using a³-b³=(a – b)(a² + ab + b²), we get

(b-10)(b²+10b+100)

Therefore, the factorization of the polynomial b³-1000 is (b-10)(b²+10b+100).

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Step-by-step explanation:

180(n-2)/n=90 ( this is the solution for the 90)

cross multiplying

180n-360=90n

180n-90n=360

90n=360

90n/90=360/90

n=4, the number of sides for the polygon with 90° is 4 sides

Solution for 100°

180(n-2)/n=100

180n-360=100n

180n-100n=360

80n=360

80n/80=360/80

n=4.5

Same applies to the rest 110°,125° ,150°,175°

Answer:

D

Step-by-step explanation:

The Y-intercept is 2 so basically every other answer is eliminated

Answer:

Hi, there your answer is x=4

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x−2+2=10+2

3x=12

Step 2: Divide both sides by 3.

\(\frac{3x}{3}=\frac{12}{3}\)

x=4

Fatima paid a total of $725.95 for 5 pallets of paper.

Fatima paid for 5 pallets of paper to be delivered. Let's start by calculating the total cost of the pallets of paper:

Total cost of 5 pallets of paper = 5 x 129.95

= $649.75

Next, we need to add the delivery fee to get the total amount that Fatima paid:

Total cost including delivery fee = Total cost of 5 pallets of paper + delivery fee

= $649.75 + $76.20

= $725.95

To break down the cost further, we can see that each pallet of paper costs $129.95 and the delivery fee is $76.20.

We can use this information to calculate the cost per pallet of paper, including the delivery fee:

Cost per pallet of paper = (Total cost including delivery fee) / Number of pallets

= $725.95 / 5

= $145.19 per pallet

Therefore, Fatima paid $145.19 per pallet of paper, which includes the delivery fee.

It's important to note that this cost may vary depending on factors such as the location of delivery, the quantity of paper ordered, and the supplier.

Therefore, Fatima paid a total of $725.95 for 5 pallets of paper to be delivered.

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