Answer:
8.10
Step-by-step explanation:
is y = x an additive Relationship? Explain.
Name the intersection of the planes ACE and CDF
A square has an area of 80 square inches. What is the length of a side of the square, in inches?
To find the length of a side of a square with an area of 80 square inches, we take the square root of the area. This results in each side of the square being approximately 8.944 inches long.
Explanation:The question is asking to find the length of a side of a square that has an area of 80 square inches. In geometry, the area of a square is calculated by squaring the length of one side. Therefore, to find the length of a side when you know the area, you need to take the square root of the area.
So, in this case, we take the square root of 80. Using a calculator, this results in approximately 8.944 inches. Therefore, each side of the square is about 8.944 inches long.
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What are the solutions to the equation 3(x – 4)(x + 5) = 0?
Answer:
-5, 4
Step-by-step explanation:
the solutions to the equation [tex]3(x - 4)(x + 5) = 0[/tex]
To solve for x we set each factor =0 and solve for x
[tex]3(x-4)=0[/tex]
divide each term by 3
[tex](x-4)=0[/tex]
Add 4 on both sides
[tex]x=4[/tex]
[tex]x+5=0[/tex]
Subtract 5 on both sides
[tex]x=-5[/tex]
So x values are -5 and 4
A bank requires a four-digit access code for each account. The access code is generated using the digits 0–9, and the digits can be repeated. What is the probability of an access code “1234”?
Answer:
Hence, the probability of an access code “1234”= [tex]\dfrac{1}{10000}[/tex]
Step-by-step explanation:
" The probability of an event is defined as the ratio of total number of favourable outcomes to the total number of possible outcomes ".
A bank requires a four-digit access code for each account. The access code is generated using the digits 0–9, and the digits can be repeated.
The total number of outcomes possible are 10×10×10×10=10000
since the first place any of the 10 digits are possible, similarly for the second, third and fourth place.
Also each code is a unique representation in itself.
Hence the code "1234" is unique.
Hence, the probability of an access code “1234”= [tex]\dfrac{1}{10000}[/tex]
Lois has 36 colored pencils. They are either green or red. For every green pencil, Lois has 3 red pencils. How many red pencils does Lois have?
Answer:
12
Step-by-step explanation: 36/3=12
In a class of 120 students numbered 1 to 120, all even number students opt for physics, whose number are divisible by 5 opt for chemistry & those whose no are divisible by 7 opt for math. How many opt for none of these subjects?
Simplify 6a+8b-a-3b plz
there are 110 calories per 28.4 grams of cereal X.find how many calories are in 45.44 grams of this cereal
Absolute value?? |x+2|=10
Answer:
x=8 or just x+2=10
Step-by-step explanation:
if you wanted to know this without absolute value, its still x+2=10. if you wanna know what 'x' is, its 8.
25w^6/10w^3 divided by 30w^2/5w ...?
The average distance between the variable scores and the mean in a set of data is the __________.
a. range
b. standard deviation
c. mean
d. median user: all of the following are limitations of statistics except that it __________.
a. provides limited information
b. cannot be influenced by inaccurate assumptions
c. promotes limitations in perceptions
d. can be misrepresented
The B. standard deviation is the measure that represents the average distance between the variable scores and the mean in a dataset. Statistics can indeed be b. cannot be influenced by inaccurate assumptions
The average distance between the variable scores and the mean in a set of data is the standard deviation. The standard deviation quantifies the variation or dispersion from the average of a dataset. It provides insight into how spread out the data points are relative to the mean. A low standard deviation suggests that the data points tend to cluster near the mean, whereas a high standard deviation indicates a wider spread of data points.
As for the limitations of statistics, they do not include that statistics cannot be influenced by inaccurate assumptions. In fact, statistics can be greatly influenced by assumptions, and care must be taken to ensure that the data and the assumptions upon which the analyses are based are accurate. Otherwise, the conclusions drawn from statistical analyses may be misleading.
Which statement is correct?
A horizontal line has no slope.
A vertical line has a slope of zero.
A line that rises from left to right has a positive slope.
A line that falls from right to left has a negative slope.
Answer:
A line that rises from left to right has a positive slope
Step-by-step explanation:
Verify each statement
case A) A horizontal line has no slope
The statement is False
Because a horizontal line has a slope equal to zero
case B) A vertical line has a slope of zero
The statement is False
Because a vertical line has a undefined slope
case C) A line that rises from left to right has a positive slope
The statement is True
case D) A line that falls right to left has a negative slope
The statement is False
Because a is a positive slope
They are offering chocolate, vanilla, strawbrry ice cream. and they ar also can choose from toppings chocolate syrup, sprinkles, caramel, or whipped cream. how many sundae combinations ar possible
Final answer:
By using the counting principle and multiplying the choices for ice cream flavors (3) by the choices for toppings (4), we find there are 12 possible sundae combinations.
Explanation:
To determine the number of possible sundae combinations with the given choices, we can use the counting principle. We multiply the number of options for each category. In this case, there are three choices for ice cream flavors (chocolate, vanilla, and strawberry) and four choices for toppings (chocolate syrup, sprinkles, caramel, and whipped cream).
Since a sundae consists of one ice cream flavor and one topping, we simply multiply the number of options for ice cream by the number of options for toppings.
3 ice cream flavors × 4 toppings = 12 possible combinations.
Therefore, there are 12 unique sundae combinations a customer can choose from.
What is the value of x? 18-7x = -20.5
Two factors of 24 add up to 14 what are they
12 and 2 Are the answers.
An automobile travels 34.o mpg of gasoline . how many kilometers does it travel per liter of gasoline ? use these equalities : 1 mile=1.61 kilometers ; 1 gallon = 3.79 liters
What is the relationship between Sample Size and the width of the Confidence Interval? Please explain further as to why
11x-1+5x+5+3x+5=180
geometry solve for x
9 times as many as 457 is
use the substitution method to solve the system of equations . choose the correct ordered pair. 2x = 3y = 29, x=4
Answer:
4, 7
Step-by-step explanation:
Find the radius of a circle with an area of 90 cm^2
Smith high school offers a baseball camp that is 75$ for 4 days of camp and a basketball camp for that 100$ for 5 days of camp.which is a a better deal and by how much?
evaluate the expression 5/12-4/9
Ron bought 2 dvds for 12.95 each. he spent $25. did he spend more on dvds or magazines
A. A band leaves a free T-Shirt under every 6th seat at a concert. They leave a free backstage pass under every 4th Street.
Which of these seat numbers get a free T-SHirt? Which Get a backstage pass? Which get both? Explain Your reasoning
Find the derivative of f(x)=cosx-2tanx.
If a rectangle JKLM, JK is equal to 12 feet, and LN is equal to 6.5 feet, find KM
Answer:
13 feet
Step-by-step explanation:
KM=LJ
LJ =LN+LN
=6.5×2
=13 feet
Given F(x) = log8 x, find F(64). ...?
Answer:
[tex]F(64)=2[/tex]
Step-by-step explanation:
Given the funtion:
[tex]F(x)=log_8(64)[/tex]
We need to find the value of the function at x=64:
[tex]F(64)=log_8(64)= z[/tex]
Where z is the value we are trying to find. In order to find z, let's use the definition of the base of a log:
[tex]log_xy=z\Rightarrow x^z=y[/tex]
So:
[tex]8^z=64[/tex]
Express [tex]8^z[/tex] as:
[tex]2^{3z}[/tex]
And express 64 as:
[tex]2^6[/tex]
Which leads to:
[tex]2^{3z}=2^6[/tex]
Equate exponents of 2 on both sides:
[tex]3z=6[/tex]
Solving for z:
[tex]z=\frac{6}{3} =2[/tex]
Therefore:
[tex]F(64)=log_8(64)= z=2[/tex]
The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the height of an 18-year-old man selected at random is between 64 inches and 66 inches