Megan goes on walking holiday for five days.
The table shows how far she walked on the first four days.
Monday-14km,Tuesday-23km,Wednesday-13km,Thursday-13km
Megan says,'My average for the first four days is more than 15km.'
Explain why Megan is correct.
Friday is her last day.
She wants to increase her average to 17 km.
How many kilometres must she walk on Friday?

Answer:

19

Step-by-step explanation:

x+2x+5=62

3x=62-5

3x=57

(divide both sides by the coefficient of x)

x=19

therefore...

Jenny is 19 years old and her mother is 62-19=43,pls mark me brainliest.

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Answer:

49(17+3) =980

Step-by-step explanation:

49*17+49*3

49(17+3)

49*20

980

Answer: $5400

Step-by-step explanation:

x =  amount raised so far

13500 - x = amt. still needed

x/3 = (13500 - x)/2

2x = 3(13500 - x)

2x = 40500 - 3x

5x = 40500

x = 40500/5 = 8100 (amt. raised so far)

13500 - 8100 = 5400 (amt. still needed)

Answer:

your cheating

Step-by-step explanation:

stopppp

Answer:

Henry will need 6 screwdrivers.

Answer:

Henry will need 6 screwdrivers.

Step-by-step explanation:

\(1yard = 36inches\\\frac{36inches}{6inches/screwdriver} = 6screwdrivers\)

The expression that shows how much the individual earns everyday if they sell n items would be = $5 × n = $5n.

A salesperson is an individual that helps in the marketing and selling of goods and products for a company and who is equally rewarded with bonus after each sale that is made.

The amount of money that the salesperson makes = $10/day

The amount of money given as bonus for each item sold = $5

Therefore when the number of items sold = n, the amount made = $5 × n = $5n

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Answer:

\(\dfrac{5\pm\sqrt{47}}{6}\)

Step-by-step explanation:

Let's start by setting y to 0 to find the roots of the quadratic.

\(x=\dfrac{5\pm \sqrt{25+12}}{6}=\\\\\dfrac{5\pm\sqrt{47}}{6}\)

Hope this helps!

A possible vector function that represents the curve of intersection of the two surfaces is r(t) = (5 cos(t), 5 sin(t), 5 cos(t) sin(t))

The cylinder x^2 + y^2 = 25 represents the set of points in 3D space where the distance from the origin to the point (x, y, z) is equal to 5. The surface z = xy represents the set of points in 3D space where the height of the point (x, y, z) is equal to its x-y coordinate.

The curve of intersection of the two surfaces is given by the set of points in 3D space that are simultaneously on the cylinder and on the surface z = xy. This means that for any point on the curve of intersection, the distance from the origin to the point must be equal to 5, and the height of the point must be equal to its x-y coordinate.

We can find a vector function that represents the curve of intersection by parameterising the points on the curve in terms of a scalar parameter t. For example, a possible parameterization of the curve of intersection is:

r(t) = (5 cos(t), 5 sin(t), 5 cos(t) sin(t))

where t is a scalar parameter that ranges over all values between 0 and 2π. The values of x, y, and z are given by 5 cos(t), 5 sin(t), and 5 cos(t) sin(t), respectively, and represent a point on the curve of intersection for each value of t.

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Answer:

280

Step-by-step explanation:

Answer:

8×35=280.

This is the best I can give to you

Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

A dot plot would show 7 points for numbers greater than 2 and a histogram would have a maximum of 7 bars. Hence, Both statements b and d are true about a graph representing the data.

Statement b: A dot plot would show 7 points for numbers greater than 2. This is true because there are 7 data points (2, 3, 4, 4, 4, 5, 6) in the data set that is greater than 2.

Statement d: A histogram would have a maximum of 7 bars. This is because there are 7 unique values in the data set (0, 1, 2, 3, 4, 5, 6), and each unique value would correspond to a bar in the histogram.

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Answer:

\(x = 12.5\) degrees

Step-by-step explanation:

Since lines a and b are parallel, we have that angles 3 and 5 are congruent, that is, they have the same measure.

We have that:

\(m<3 = 10x\)

\(m<5 = 12x - 25\)

Value of x:

Since they are congruent:

\(m<3 = m<5\)

\(10x = 12x - 25\)

\(-2x = -25\)

\(2x = 25\)

\(x = \frac{25}{2}\)

\(x = 12.5\) degrees

Answer:

x = 55

y = 70

Step-by-step explanation:

x = 180-125

  = 55

y = 180-(55x2)

  = 180-110

  = 70

Feel free to mark it as branliest :D

Answer: Its B

Step-by-step explanation:

Answer: C

Step-by-step explanation:

For this problem, we need to graph y=2x-5. We can eliminate A and D because the graph is not y=2x-5. The main difference between B and C is the shading and line. Since we see the inequality is less than, but NOT equal to, we know that the line will be dashed. The solid line tells us that the graph reaches the line, meaning it is equal to. Therefore, we can eliminate B. C is the correct answer. We also know that the shading would be under the dashed line because it is LESS THAN.

Answer:

use what u learn from the teacher

Answer: a. To find the slope and y-intercept of the linear equation, we need to write it in slope-intercept form (y = mx + b). To do this, we can add 10y to both sides and divide both sides by 10 to get:

y = -559x/10 - 2701/10

y = -55.9x - 270.1

The slope of the equation is -55.9, and the y-intercept is -270.1

b. The slope of a linear equation is the rate of change of the dependent variable (y) with respect to the independent variable (x). In this context, the slope of -55.9 means that for every year after 2012, the number of people employed as registered nurses is expected to decrease by 55.9 thousand.

c. The y-intercept of a linear equation is the point where the line crosses the y-axis. In this context, the y-intercept of -270.1 means that in 2012, there were expected to be 270.1 thousand people employed as registered nurses.

Step-by-step explanation:

Answer:

0.61 or 61 %

Step-by-step explanation:

Answer:

0.61

Step-by-step explanation:

0.39 is also 39%, the highest probability is always 100% unless it says otherwise, so our equation is:

1 - 0.39 = 0.61

So the probability of getting a head is 0.61 or 61%

Answer:

9cm

Step-by-step explanation:if im wrong sorry

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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Answer:

Tenths

Step-by-step explanation:

The first number to the right of the decimal point is the number of tenths, the second number to the right of the decimal point is the number of hundredths, and so on.

The correlation coefficient for two sets of numbers that are perfectly negatively correlated is -1.

Correlation is a statistical measure used to measure the relationship that exists between two variables.  Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases.

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Answer:

Add every numbers what they given in the question

The fraction of students who named English as their favorite subject is 1/5. In a pie chart representation, the central angle for the English segment would be 72 degrees.

The table shows the favourite subjects of the students in a class. Thesesubjects include Maths (with a frequency of 4), Science (with a frequency of 8), and English (with a frequency of 3).

a) To find out what fraction of the students claimed English as their favourite subject, one needs to add up the total number of students and then divide the English frequency by that total. That's 3 (the frequency for English) divided by 15 (the total number of students), which equals 1/5.

b) When visualizing this information on a pie chart, the central angle for each subject is calculated by dividing its frequency by the total and then multiplying by 360 (as a circle contains 360 degrees). For English, the central angle would be calculated as (3/15)*360 = 72 degrees.

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a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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