Ruth can run 157 yards in one minute. Lia can run 162 more yards than Ruth can run in one minute. How many yards can they both run in one minute?

The interest earned after 3 months is $75

What is simple interest?

The simple interest on a deposit is the principal deposited multiplied by the interest and the time the deposit lasted

I=PRT

I=interest=unknown

P=principal=$6000

R=interest rate=5%

T= 3 months=0.25 year

I=$6000*5%*0.25

I=$75

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Answer:

75 dollars

Step-by-step explanation:

i got it right

The line graph of Greg's data wood look like "It would move upward."

A graph is a visual representation of data that shows the relationship between two or more variables. There are several types of graphs that can be used to display data

If Greg is measuring the height of the plant each day and the plant is continuing to grow for two weeks, then the line graph of his data would move upward. The graph would show an increasing trend as the plant grows taller each day. Therefore, the correct answer is "It would move upward."

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The height of the square pyramid is 24.

We have,

To find the height of a square pyramid, given its base length and volume, we can use a simple formula.

The volume of a pyramid is calculated by multiplying the base area by the height and dividing by 3.

In this case,

The volume of the pyramid is given as 200 and the base length is 5.

So,

200 = (5² x height) / 3

To simplify, we square the base length:

200 = (25 x height) / 3

To isolate the height, we multiply both sides by 3 and then divide by 25:

200 x 3 / 25 = height

Simplifying the calculation:

24 = height

Therefore,

The height of the square pyramid is 24.

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Answer:

they will have to sample 60 machined metal parts

Step-by-step explanation:

Given that;

Margin of Error E = 6.74

at 90% Confidence Interval, z = 1.645  { from table }

Range R = maximum range - minimum range = 220 - 93 = 127

standard deviation σ = R / 4 = 127/4= 31.7500

How many machined metal parts would they have to sample n = ?

to get our sample size, we use the following formula

n = [ zσ / E ]²

we substitute in our values

n = [ 1.645 × 31.7500 / 6.74 ]²  

n = [ 52.2287 / 6.74 ]²  

n = [ 7.7490 ]²          

n = 60.047 ≈ 60  

Therefore, they will have to sample 60 machined metal parts

You can use the margin of error with the z value and standard deviation to get the result.

The number of metal machine parts would be 60.

The number of machined metal parts that have to be sampled.

Range = Max. value - min. value = 220 - 93 = 127

The standard deviation is approximately the quarter of the range of the distribution.

Thus, \(\sigma = 127 \div 4 = 31.75\)

For 90% confidence, the z value is 1.645 (from z tables)

Thus, from the formula for size of sample, we have:

\(n = (\dfrac{z\sigma}{E})^2 = (\dfrac{1.645 \times 31.75}{6.74})^2 = (7.749)^2 \approx 60\)

The number of metal machine parts would be 60.

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8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

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The mean absolute deviation of the data: 45, 48, 50, 42, and 40 comes out to be 3.2

The mean of the number is defined as the average of the numbers that is the sum of the number to the total number of numbers

= 45 + 48 + 50 + 42 + 40 / 5

= 225 / 5

= 45

The mean absolute deviation is defined as the measure of how much the values in the data set are different from the mean of the data.

MAD = \(\frac{1}{n}\) * ∑ | x - mean |

where n is the number of data

x is the individual data

MAD = 1/5 * (|45-45| + |48-45| + |50-45| + |42-45| + |40-45|)

= 0.2 * (0 + 3 + 5 + 3 + 5)

= 0.2 * 16

= 3.2

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Object dilation for image 1 is 30 cm, image 2 is 21 cm, image 3 is 8 cm, and image 4 is 2 cm.

Dilation is a conversion, which is utilized to resize the thing. Dilation is operated to create things bigger or shorter.

For image 1, Dilation for the given side of polygon A is 10 × 3 = 30cm for polygon B.

Therefore, the dilation for the unknown side of polygon B would be 15 × 3 = 45cm.

For image 2, The dilation for the given side of triangle A is 7 × 3 = 21cm for triangle B.

Therefore, the dilation for the unknown side of triangle B would be 18 ÷ 3 = 6cm for triangle A.

For image 3, Dilation for the given side of triangle A is 12 × 4 = 48cm.

Therefore, the dilation for the unknown sides would be 32 ÷ 4 = 8cm for the left side of triangle A and 8 × 4 = 24 for the right side of triangle B.

For image 4, The dilation for the given side of square A is 2 × 2 = 4cm in square B.

Therefore, the dilation for the unknown side of square A would be 4 ÷ 2 = 2cm for square A.

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The system of equations which this graph represent include the following:

A. y = x² + 2

   y = x + 4

In Geometry, the point-slope form of a straight line can be calculated by using this equation:

y - y₁ = m(x - x₁)

Where:

First, we would find the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 3)/(2 + 1)

Slope (m) = 3/3

Slope (m) = 1.

At data point (-1, 3) and a slope of 1, an equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3 = -1(x + 1)

y = -x + 4

For the quadratic equation, we have;

y = a(x - h)² + k

6 = a(-2 - 0)² + 2

4 = a4

a = 4/4

a = 1

Therefore, the required quadratic function is given by:

y = a(x - h)² + k

y = (x - 0)² + 2

y = x² + 2

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

b f(t)=1000(0.12)ť

Step-by-step explanation:

Also that 1000 dollars will be 1,120 because of interest

12 I believe mathhelohrjtjrjd

Answer:

4x^2+6x-6

Step-by-step explanation:

f(x)-g(x) is not the same for any value.

hence polynomial subtraction is the answer

x^2+2x-5-(3x^2-4x+1)

=4x^2+6x-6

The drop down menu is used to match each situation as below.

1. The rocket reached its maximum  the x-value of the vertex

height in 5 s.

2. ground level                                    the y-intercept

3. The rocket launcher was                the y-value of the point containing

on the ground.                                     the x-intercept on the right

4. The rocket was in the air 10           the x-intercept on the right                                                                                    

5. The maximum height of the           the y-value of the vertex

rocket is 50 ft.

6. the time the rocket was                the x-value of the point containing the

launched                                          y-intercept

The key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.

The vertex is the point the rocket had the maximum and height.

Generally, the curve traces a parabolic path

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Answer:

1 to the left and 7 up

Step-by-step explanation:

The x coordinate goes from 3 to 2, so that is your 1 to the left.

The y coordinate goes from -4 to 3, so that is your 7 up.

Answer: He pays $1.05 in tax

Step-by-step explanation: You multiply 7% by 15.00 (15.00 x 7%) and then you get your tax. If it asks how much the cost is plus tax, you just add the number you got by multiplying 15 by 7 and to the original price, $15.00.

Kevin's kick can be considered the best among the four.

To determine the most impressive kick, we can compare the distances and heights achieved by each player.

Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.

Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.

Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.

Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.

Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.

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The equation of the line is 2x + 5y = 11 hat passes through the points (3,1) and (-2,3)

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

We have two points:

(3,1) and (-2,3)

The equation of the line passing through the points (3,1) and (-2,3)

\(\rm (y - 3) = \dfrac{3-1}{-2-3}(x+2)\)

\(\rm (y - 3) = -\dfrac{2}{5}(x+2)\)

5y - 15 = -2x - 4

2x + 5y = 11

Thus, the equation of the line is 2x + 5y = 11 hat passes through the points (3,1) and (-2,3)

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Answer:

Initial amount (a)= 620

Growth factor (b)= 7.8

Step-by-step explanation:

620 is the initial amount and is multiplied by 7.8 x which is the growth factor.

The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

392

Step-by-step explanation:

1.49×10⁸/3.8×10⁵ = 392

Answer

200 DM

Hope this helps

Answer:

It says your picture failed to load

Step-by-step explanation:

did it only happen to me or other people

Answer:

fraction: 70/100

decimal: 0.7

percent: 70%

Step-by-step explanation:

hope dis helps u! mark as brainlest if possible!

The statement states that the rectangular garden has the following measurements: length = -4 and width = -2.

Sums with terms of something like the form kxn, where k has been any variable & n is a real number, make up polynomials. For instance, the polynomial 3x+2x-5. a description of radicals. The concepts degrees, standard form, monomial, binomial, and trinomial are all covered in this video.

A rectangle's area is represented by the polynomial \(x2 + 6x + 8,\) which may be solved in (x + a)(x + b), in which a and b are indeed the rectangle's length and breadth.

So,\(x^2 + 6x + 8 = (x + a)(x + b).\)

Solving for a and b, we find that a = -4 and b = -2, so the dimensions of the rectangular garden are length = -4 and width = -2.

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Answer: (0,3)

Step-by-step explanation:

(x,y) -> (1/2x , 1/2y)

(0,6) -> (1/2 • 0, 1/2 • 6)

=(0,3)

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i hope this helps, brainliest please <3

Answer:

\(x=4,\:x=-2\)

Step-by-step explanation:

Both equations are equal to y, so we can simply set them equal to each other and solve for x:

\(x^2-5=2x+3\\\\x^2-8=2x\\\\x^2-2x-8=0\\\\(x-4)(x+2)=0\\\\x=4,\:x=-2\)

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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