Find the equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 7; containing the point (7,-1). What is the equation of the line?
y =

The solution of the inequality is x < 60 and graph is shown in the image attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Let x represent the number of days.

Since 25 tables is being shipped daily and we want to find how many days will there be fewer than 1500 tables, we can write:

25x < 1500

x < 1500/25

x < 60

Note: fewer than means less than i.e. <

The graph is shown in the image attached

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

Answer:

22.4

Step-by-step explanation:

a^2 + b^2 c^2

20^2 + b^2 = 30^2

400 + b^2 = 900

b^2 = 500

b = 22.4

If this experiment was performed many times you would expect an average of 5 heads.

The bar graph attached shows us the theoretical probability of getting a given number heads in ten flips of a fair coin.

From graph it is clear that;

Probability of of 0 & 10 head  are equal so average 5 heads

Probability of of 1 & 9 head  are equal  so average 5 Heads

Probability of of 2 & 8 head  are equal so average 5 heads

Probability of of 3 & 7 head  are equal  so average 5 Heads

Probability of of 4 & 6 head  are equal  so average 5 Heads

Probability of 5 will contribute to 5 heads only

Read more about Bar Graphs at; https://brainly.com/question/24741444

#SPJ1

Answer:

The population of Hawks and other species would likely start to edge off.

Step-by-step explanation:

Commonly, a Food Chain is dependent on all the parts of it sataying at a perfect point. If the food that the Snakes eat starts to run out, more of them will die off. With less Snakes, the Hawks will then have less food, and that continues throughout the chain. The same thing would happen if there was too much food, except instead of the populations of species dying off, the Snake population would spike.

Answer: 20%

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Ella has two 8 feet long boards, so in total, she has 16 feet of the boards.

Convert these 16 feet to inches. There are 12 inches in a foot, so multiply 16 by 12:

16(12)

= 192

So, there are 192 inches in the boards. Divide this by 15 to see how many 15 inch pieces she can cut:

192/15

= 12.8

We can only have a whole number answer, because the boards need to be a full 15 inches. So, round this down:

= 12

Ella can cut twelve 15 inch pieces.

Answer/Step-by-step explanation:

i. No. of hours Martine works per week = 33.5 hours

If she does this for 36weeks in a year, she works the following hours in a year:

33.5 hrs × 36 weeks = 1,206 hours

Rounding of to 1 significant figure (first non-zero digit counting from left to right is the first significant figure) = 1,000 hours

Thus:

33.5 × 36 = 1,000

ii. Martine earns £263 per week, in a year (36 weeks), she'd earn:

263 × 36 = 9,468 ≈ £10,000 (rounded to 1 s.f)

iii. Overtime = £8.35 per hour

To save to pay £900 for a holiday, she needs to do the following number of overtime:

900 ÷ 8.35 = 107.784431 ≈ 100 hours (rounded to 1 s.f)

Answer:

29 and 51

Step-by-step explanation:

29 and 51 are prime because the only factors of them are the numbers themselves and 1.

29/1 = 29        51/1 = 51

The composite numbers are 33, 65, and 70 because they have more than one factor.

33/3 = 11     65/5 = 13  70/10 = 7

If this answer is correct, please make me Brainliest!

The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.

To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
To know more about explicit formula visit:

https://brainly.com/question/18069156

#SPJ11

By using the concept of combinations, there are 13,122,848 ways.

For getting the number of ways to distribute 30 people into 4 distinct rooms with the given conditions, we will use the concept of combinations.

In the case of 2 people in room 3 and 26 in room 4, the number of ways to distribute them is:
²⁸C₂ = 28! / (2!(28-2)!) = 378

After calculating the total number of ways, we find that there are 13,122,848 ways to distribute 30 people into the 4 distinct rooms with the given conditions.

To know more about the "combinations": https://brainly.com/question/11732255

#SPJ11

Answer:

B.) 55 degrees

Step-by-step explanation:

Angle 4 is complementary to angle 5.

The two triangles with these two angles inside are congruent.

So angle 5 is congruent to the given angle of 35 degrees.

Thus,

90 = 35 - x

X = 90 - 35

X = 55

Answer: 55

Step-by-step explanation:

a) Ordering the numbers from least to greatest is as follows:

-2⁶/₇,  -³/₂, 2.25, and  2¹/₃

b) The times that the water level decreased were 10:00 A.M. and 4:00 P.M.

c) The largest change in water level at 10:00 A.M. was -2⁶/₇.

d) The tidal change in part (c) in water level involved a decrease in the water level.

e) The next tidal change will be an increase.  This increase in the tidal change will occur again the next morning.

A tidal change occurs due to the gravitational forces of the sun and the moon on the earth's ranges.

a) Ordering the numbers from least to greatest:

-2⁶/₇,  -³/₂, 2.25, and  2¹/₃

b) 10:00 A.M. and 4:00 P.M.

c) -2⁶/₇

d) a decrease

e) An increase

Learn more about calculating tidal changes at https://brainly.com/question/1342941

#SPJ1

Tidal Wave

Time               4:00 A.M.     10:00 A.M.      4:00 P.M.     10:00 P.M.

Changes (ft)       2.25           -2⁶/₇                   -³/₂                2¹/₃

Answer:

1155

Step-by-step explanation:

165 × 7 = 1155

i hink this is the answert

Answer:

median=mode

Step-by-step explanation:

I just did it.

Answer:

median=mode

Step-by-step explanation:

Answer:

Total Cost (p) = 90 + 14p

For 70 people = $1070

Step-by-step explanation:

Let p stand for the number of people attending the banquet

Fixed cost = $90

Variable cost = $14p

Total Cost (p) = 90 + 14p

=================

Cost for 70 people (p=70)

Total Cost = $90 + $14(70)

Total = $1070

The given sequence 22, 12, 2, -8 is arithmetic, and the common difference is -10.

An arithmetic sequence is a sequence where the difference between any pair of consecutive terms is a constant knowed as the common difference, and if k is that common difference, we can write the recursive formula as:

a(n) = a(n - 1) + k

Here we have the sequence:

22, 12, 2, -8

Taking the differences between consecutive terms we get:

12 - 22 = -10

2 - 12 = -10

-8 - 2 = -10

The differences are all equal, then this is an arithmetic sequence, and the common difference is -10.

Learn more about sequences at:

https://brainly.com/question/6561461

#SPJ1

The matter that occupies more space, assuming a similar number of molecules, is the one that has a lower density than the other.

The space occupied by a matter depends on its density. The higher the density of the matter, the more space it occupies. Density can be defined as the amount of matter present per unit volume.

The matter that occupies more space is the one that has a lower density than the other, assuming a similar number of molecules. Density is a key physical property that helps scientists identify a substance.

The density of a substance remains constant at a given temperature and pressure. Density is important for many applications such as calculating the weight of a particular amount of material, measuring the concentration of a solution, and determining whether a substance will float or sink in a liquid.

The mass of the substance will determine the density of the substance. The relationship between mass, volume, and density can be given by the following formula:

Density = Mass/VolumeIf we have the same number of molecules of two different substances, the substance with the lower density will occupy more space. Let's say we have a balloon with helium gas and another balloon with oxygen gas, and both balloons have the same number of molecules.

Since helium gas has a lower density than oxygen gas, the balloon with helium gas will occupy more space than the balloon with oxygen gas.

for more such questions on  molecules

https://brainly.com/question/30337264

#SPJ8

Answer:

81 square inches

Step-by-step explanation:

9*9 = 81

To find the area of a square, we multiply the length by its width

In this case, the length and width of the square area are both 9!

We know this becasue it says "each side of a square piece of cardboard is 9 inches long"

Now let's solve the problem

Area = L × W

Area = 9inches × 9inches

Area = 81 inches²

*I put the "²" above inches because any area of a square is just multiplying the same number by itself or ... in other words... "squaring it"

[ex: 9² = 9 × 9]

Answer:Drinking a glass of ice water rather than a glass of water at room temperature only burns about eight calories. Your basal metabolic rate, which keeps your organs functioning, burns about 70% of your calories. Physical activity adds about 20% and digestion about 10%.

Answer:

True

Step-by-step explanation:

Answer:

1.5%.

Step-by-step explanation:

x per cent is written as 0.01x as a decimal fraction.

638.30 = 550(1 + 0.01x)^10

(1 + 0.01x)^10 = 638.30/550

Taking logarithms:

10 ln (1 + 0.01x) = ln ( 638.30/550)

ln (1 + 0.01x) =  ln ( 638.30/550)/ 10

ln(1 + 0.01x) = 0.014889

Converting the logs:-

1 + 0.01x = e^0.014889 = 1.015

0.01x = 1 - 1.015

0.01x = 0.015

x = 0.015/ 0.01

= 1.5.

If a famous person reads every 12th letter of the 45 thousand letters coming in weekly, then he is using a systematic sampling design.

Systematic sampling involves selecting every kth element from a population, where k is a constant interval calculated as population size divided by sample size. In this case, the famous person is selecting every 12th letter from a population of 45 thousand letters coming in weekly, which means that k = 45,000/12 = 3750.

By using a systematic sampling design, the famous person is selecting a subset of the population that is representative of the whole population in terms of the characteristics of the letters. However, it is important to note that systematic sampling can introduce bias if there is a pattern in the population that is related to the sampling interval, such as if the letters were sorted or arranged in a particular way.

Learn more about Systematic sampling here

brainly.com/question/24317913

#SPJ4

The given question is incomplete, the complete question is:

Suppose a famous person reads every 12th letter of the 45 thousand letters coming in weekly. What type of sampling design is the person using in this​ case?

Step-by-step explanation:

y= -8/14x + 3/14 is the answer

Answer:

y=1.75x-3/14

Step-by-step explanation:

-14y=-8x+3

y=14/8x-3/14

y=1.75x-3/14

Answer:

The expected amount to be paid by the carnival committee for prices would be $366.80

Step-by-step explanation:

Hello!

Here, we want to calculate the amount of money the carnival committee is expected to pay for the prizes for that booth

From the question, we have 3 categories of prices to be won

To calculate for people that won’t win anything , we simply subtract the percentages of all from 100

That would be 100-32-10-8 = 100-50 = 50%

So now let’s calculate the number of people out of 200 that will win each category based on the percentages

For stuffed toy

32/100 * 200 = 64

Jump rope

10/100 * 200 = 20

For t-shirt

8/100 * 200 = 16

So total price paid for stuffed toy= 3.25 * 64 = $208

For jump rope, we have 1.7 * 20 = $34

For t-shirt , we hav 16 * 7.8 = $124.8

So the total value spent on prices by the committee would be;

124.8 + 34 + 208 = $366.80

True. In simple linear regression analysis, the least squares regression line is a line that best fits the given data by minimizing the sum of the squared differences between the actual y values and the predicted y values.

This line is obtained by finding the slope and intercept that minimize the sum of the squared residuals.

The sum of the squared differences, also known as the sum of squared residuals or the sum of squared errors, measures the overall distance between the observed y values and the predicted values on the regression line. By minimizing this sum, the least squares regression line provides the best-fitting line that represents the relationship between the dependent variable (y) and the independent variable (x) in a linear manner.

Therefore, it is true that in simple linear regression analysis, the least squares regression line minimizes the sum of the squared differences between actual and predicted y values.

To know more about linear regression click here: brainly.com/question/32505018

#SPJ11

Answer

Option 3

Step-by-step explanation:

70 + 5 = 75

0.9 + 0.02 = 0.92

75 + 0.92 = 75.92

The 68% and 95% values in unimodal symmetric distribution can be applied to manufacturing aircraft or cars by providing a reliable baseline of quality assurance.

Companies can use demographic information such as income, height, weight, and age to tailor their products to a particular customer base, for example, producing smaller cars for shorter customers or higher-end cars for wealthier customers. This can ensure that their products offer a greater range of features and more targeted appeal.  Manufacturing companies can use demographic information to design products that meet the specific needs of their target customers.

By understanding the income, height, weight, and age of their potential customers, the company can create a product that caters to those needs. For example, a company may create smaller cars for shorter customers, or larger vehicles for taller customers. They may also create higher-end cars for wealthier customers with more features than the standard model.

By using this information, companies can create products that are better suited to their target demographic, leading to greater customer satisfaction and loyalty. Additionally, they can use the 68% and 95% values in unimodal symmetric distribution to ensure that their products meet a certain standard of quality. This can provide customers with the assurance that they are buying a safe, reliable, and well-made product.

To know more about demographic information refer to the link brainly.com/question/29228963

#SPJ4

Answer:

The value for X is 25

Step-by-step explanation:

I hope this helps you out!