Answer (assuming it can be in slope-intercept form):
[tex]y = -2x +10[/tex]
Step-by-step explanation:
1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula [tex]y = mx + b[/tex]. Isolate y:
[tex]2x + y = 3\\y = -2x + 3[/tex]
The number in place of [tex]m[/tex], or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.
Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.
2) Now, remember that the slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. In order to write an equation of a line using that formula, we need to substitute values for [tex]m[/tex] and [tex]b[/tex]. We know [tex]m[/tex] is the slope, so we already know what that equals. Now, we just need to find [tex]b[/tex].
To do that, substitute -2 for [tex]m[/tex] in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate [tex]b[/tex] and find its values:
[tex]y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b[/tex]
So, [tex]b[/tex] = 10.
3) Substitute values for [tex]b[/tex] and [tex]m[/tex] into the slope-intercept formula to write the slope-intercept form of the line:
[tex]y = -2x +10[/tex]
Equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6) is y+2x=10
What are parallel lines ?Lines which does not intersect each other at any point is said to be Parallel.
Here given equation of line is 2x+y=3
first we will write this equation in y=mx+c form
So y=3-2x
y= -2x+3
We know that slope of parallel lines is same
So equation of parallel line will be
y=-2x+a
Now we know that line is passing through (2,6)
So
[tex]6=-2(2)+a\\\\6+4=a\\\\a=10[/tex]
Hence equation of parallel line is y=-2x+10
or we can write it as y+2x=10
Equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6) is y+2x=10
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Consider the following food chain:
Plants are eaten by grasshoppers, which are eaten by mice, which are eaten by snakes.
What will happen to the other members of the food chain if the grasshoppers are removed?
a.
the number of plants will increase, the number of mice will decrease, the number of snakes will decrease
b.
the number of plants will decrease, the number of mice will increase, the number of snakes will increase
c.
the number of plants will decrease, the number of mice will increase, the number of snakes will decrease
d.
the number of plants will increase, the number of mice will increase, the number of snakes will increase
Answer:
A
Step-by-step explanation:
the plant will increase because no grasshopper will be present to eat them without the grasshopper the mice cannot eat so the mice population will decrease....
If the grasshoppers are removed then the number of plants will increase, the number of mice will decrease, the number of snakes will decrease.
The correct answer is option a.
For the given Food chain:
If the grasshoppers are removed from the food chain, it will lead to a increase in the number of plants, as there will be no herbivores (grasshoppers) to consume them. This is because grasshoppers help control plant populations by feeding on them.
With the removal of grasshoppers, the mouse population is likely to decrease since their primary food source (grasshoppers) is no longer available.
As a consequence of the decreased mouse population, the snake population may also decrease because their primary food source (mice) has been affected.
Thus, the number of plants will increase, the number of mice will decrease, the number of snakes will decrease.
Thus, option a is correct.
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Brandon gets paid $7.55 per hour. How much does he make if he worked 35 hours?
A. $302.00
B. $2,642.50
C. $264.25
D.$30,200.00
Answer:
C
Step-by-step explanation:
7.55 x 35 =
264.25
Hope this helped
Suppose that you reach into a bag and randomly select one piece of candy from 4 chocolates, 8 caramels and 19
peppermints. Find the probability of selecting a chocolate.
Answer:
Step-by-step explanation:
4 : 31
4/31
or .129
or 12.9%
Answer:
4/31
Step-by-step explanation:
4 chocolates out of a total of 31 pieces of candy
-3(-2-3x6)-5{4+2(-1)}
Answer:
The answer is 50
Step-by-step explanation:
= -3(-2-3×6)-5{4+2(-1)}
= -3(-2-18)-5{4-2}
= -3(-20)-5{2}
= 60-10
= 50
Answer:
-3(-2-18)-5(6-1)
-3(20)-5(5)
-60--25
=35
=====
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 1.4 mm. For a randomly found shard, find the following probabilities.
a) the thickness is less than 3.0 mm.
b) the thickness is more than 7.0 mm.
c) the thickness is between 3.0 mm and 7.0 mm.
Answer:
a) 0.0985 = 9.85% probability that the thickness is less than 3.0 mm.
b) 0.0582 = 5.82% probability that the thickness is more than 7.0 mm.
c) 0.8433 = 84.33% probability that the thickness is between 3.0 mm and 7.0 mm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 1.4 mm.
This means that [tex]\mu = 4.8, \sigma = 1.4[/tex]
a) the thickness is less than 3.0 mm.
This is the pvalue of Z when X = 3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 4.8}{1.4}[/tex]
[tex]Z = -1.29[/tex]
[tex]Z = -1.29[/tex] has a pvalue of 0.0985
0.0985 = 9.85% probability that the thickness is less than 3.0 mm.
b) the thickness is more than 7.0 mm.
This is 1 subtracted by the pvalue of Z when X = 7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7 - 4.8}{1.4}[/tex]
[tex]Z = 1.57[/tex]
[tex]Z = 1.57[/tex] has a pvalue of 0.9418
1 - 0.9418 = 0.0582
0.0582 = 5.82% probability that the thickness is more than 7.0 mm.
c) the thickness is between 3.0 mm and 7.0 mm.
This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 3. From questions a and b, we have these pvalues. So
0.9418 - 0.0985 = 0.8433
0.8433 = 84.33% probability that the thickness is between 3.0 mm and 7.0 mm.
Every 75 feet, they will drink 8 ounces of water. Use your estimate to determine how many times they will stop to drink 8 ounces of water. How many ounces of water will Sarah drink biking up the mountain?
Answer:
600 oz
Step-by-step explanation:
A local television news station includes a viewer survey question about a current issue at the beginning of every evening news broadcast. Viewers are invited to use social media to respond to the question. The results of the survey are shared with the audience at the end of each broadcast. In relation to the opinions of the population of the region, which of the following is a possible reason why the results of such surveys could be biased?
I. Viewers with strong opinions about the current issue are more likely to respond than are viewers without strong opinions.
II. The opinions of viewers of one television station are not necessarily representative of the population of a region.
III. Viewers with access to social media are not necessarily representative of the population of a region.
a. I only
b. II only
c. III only
d. II and III only
e. I, II, and III
Answer:
ll
Step-by-step explanation:
ll is the msot resanable
choose all answers that apply
Answer:
none of the above
Step-by-step explanation:
An isosceles trapezoid cannot be rotated to create the same image therefore it has no angle of rotational symmetry.
What is the result of the operation
Multiplication is the process of multiplying. The correct option is D.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The result of the given operation can be written as,
[tex]-2\left[\begin{array}{ccc}-3&5&1\\8&-2&3\\2&1&-4\end{array}\right][/tex]
Since for a multiplication operation, each element of the matrix is multiplied with the given term, therefore, the matrix can be written as,
[tex]= \left[\begin{array}{ccc}-3\times -2&5\times -2&1\times -2\\8\times -2&-2\times -2&3\times -2\\2\times -2&1\times -2&-4\times -2\end{array}\right][/tex]
Solving the multiplication, we will get,
[tex]=\left[\begin{array}{ccc}6&-10&-2\\-16&4&-6\\-4&-2&8\end{array}\right][/tex]
Hence, the correct option is D.
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work out 5×6 - 8 ÷2
Answer: 26
Step-by-step explanation:
5×6 - 8 ÷2
= 30 - 8 ÷2
= 30 - 4
= 26
Answer:
26
Step-by-step explanation:
so we start off with 5x6 from PEMDAS so 5x6 = 30
then we have 8 divided by 2 = 4
30-4 = 26
What does 64.5% as a decimal equal?
Answer:
0.645
Step-by-step explanation:
since a percent is out of 100, it could also be written a 64.5/100,
then converting a fraction into a decimal is jus dividing the two equaling to 0.645
If the radius of the cone is 5 inches and the height of the cone is 18 inches, what is the slant height of the cone ?
Answer:
Step-by-step explanation:
slant height = √(5²+18²) = √349
PLEASE HELP
WILL MARK BRAINLIEST (not if you get it wrong)
Just with the median question :)
Answer:
Group one has the larger median
Step-by-step explanation:
Group One:
By taking off 8 on both ends we see that the median is 53 for group one.
33, 35, 40, 41, 43, 46, 48, 49, 53, 54, 55, 58, 58, 58, 62, 62, 67
Group two:
By taking off 8 on each end as well we get 47 and 49.
35, 38, 40, 41, 42, 43, 47, 47, 47, 49, 50, 50, 53, 54, 57, 61, 66, 69
we then take the average of the two numbers
47 + 49 = 96
96 / 2 = 48
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
hope it helps
Step-by-step explanation:
have a great day
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 43 couples. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 43 births.
The value of the mean is__ (Type an integer or a decimal. Do not round.)
The value of the standard deviation is __. (Round to one decimal place as needed.)
b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.
Values of ___ girls or fewer are significantly low. (Round to one decimal place as needed.)
Values of ___ girls or greater are significantly high. (Round to one decimal place as needed.)
c. Is the result of 32 girls a result that is significantly high? What does it suggest about the effectiveness of the method?
The result is/is not significantly high, because 32 girls is greater than/equal to/less than ___ girls. A result of 32 girls would suggest that the method is not effective/is effective.(Round to one decimal place as needed.)
Answer:
A) Mean = 21.5
Standard deviation = 3.3
B) - Values of 14.9 girls or fewer are significantly low.
- Values of 28.1 girls or higher are significantly high
C) - The result is significantly high, because 32 girls is greater than 28.1 girls
-A result of 32 girls would suggest that the method is effective.
Step-by-step explanation:
A) We are given;
Number of couples; n = 43
Probability it is a girl; p = 0.5
Formula for mean is;
Mean; x¯ = np
x¯ = 43 × 0.5
x¯ = 21.5
Formula for standard deviation is;
SD = √(np(1 - p))
SD = √(43 × 0.5 × (1 - 0.5))
SD = √(43 × 0.5²)
SD ≈ 3.3
B) range rule of thumb is that the values are usually within 2 standard deviations from the mean.
Thus, we have;
x¯ ± 2SD
This gives;
21.5 ± 2(3.3)
That is;
21.5 + 6.6 and 21.5 - 6.6
To get; 28.1 and 14.9
This means that;
- Values of 14.9 girls or fewer are significantly low.
- Values of 28.1 girls or higher are significantly high
C) If the result is 32,it doesn't fall in between 14.9 and 28.1. As a matter of fact it is higher than 28.1, therefore we can say it is significantly high
- A result of 32 girls would suggest that the method is effective.
Marvin solved the equation 4(x+5)=88 fill in the blanks
Answer:
x=17
Step-by-step explanation:
4(x+5) = 88
4x + 20 = 88
4x = 88-20
4x = 68
x = 68/4
x = 17
Answer:
17
Step-by-step explanation:
4(x+5)=88
4x+20=88
4x=88-20
4x=68
4x÷4=68÷4
x=17
In a 24-hour period, Grace spends 8 hours sleeping, 8 hours at school, 2 hours at dance class, and the rest of the time with her family. What percentage of her day is used for family time?
A path 2 m wide surrounds a large flowerbed.
Answer:
what are we supposed to do here
help meh I'm doing more stuff for I can get another apple phone and another anonymous mask-
Answer:
4lb.
Step-by-step explanation:
11 divided by 2.75 = 4
therefore, the answer is 4lb's.
Post Test:Transformation answer key?
Answer:
ur gay
Step-by-step explanation:
LOL
The percent P of defective parts produced by a new employee t days after the employee starts work can be modeled by
P = t + 1810/50(t + 2).
Find the rates of change of P at t = 1 and t = 10. (Round your answers to two decimal places.)
Answer:
[tex]\frac{dP}{dt} (1) = -4.02\,\frac{\%}{day}[/tex], [tex]\frac{dP}{dt} (10) = -0.25\,\frac{\%}{day}[/tex]
Step-by-step explanation:
The complete statement is:
The percent [tex]p[/tex] of defective parts produced by a new employee [tex]t[/tex] days after the employee starts work can be modeled by:
[tex]p(t) = \frac{t+1810}{50\cdot (t+2)}[/tex]
Find the rates of change of [tex]p[/tex] at [tex]t = 1[/tex] and [tex]t = 10[/tex] (Round your answer to two decimal places.)
The rate of change of the function is the first derivative of the function in time. By rules of differentiation, we obtain the expression of the rate of change of the percent of defective parts:
[tex]\frac{dP}{dt} = \frac{50\cdot (t+2)-50\cdot (t+1810)}{50^{2}\cdot (t+2)^{2}}[/tex]
[tex]\frac{dP}{dt} = \frac{1}{50\cdot (t+2)}-\frac{t+1810}{50\cdot (t+2)^{2}}[/tex] (1)
The rates of change of P at [tex]t = 1[/tex] and [tex]t = 10[/tex] are, respectively:
[tex]\frac{dP}{dt} (1) = -4.02\,\frac{\%}{day}[/tex]
[tex]\frac{dP}{dt} (10) = -0.25\,\frac{\%}{day}[/tex]
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answer:
54.85 un²
Step-by-step explanation:
Calculate the square and the circle and add them together.
[tex]2\pi[/tex]r
radius = 3
[tex]2\pi[/tex]3
Circumference = [tex]2\pi[/tex]r = 2 × [tex]\pi[/tex] × 3 = 18.84956
18.84956 rounds to 18.85
The circle's area is 18.85 un².
The square is 6 by 6.
6 × 6 = 36
The square's area is 36 un².
18.85 un² + 36 un² = 54.85 un²
A 200g packet of oreos costs $3, calculate how much would a 50g packet cost?
Answer:
75c
Step-by-step explanation:
(50/200)×3=3/4=0.75
A car travel 8km using 1 litres of petrol. How much petrol is needed to travel 152km
Answer:
It is very interesting!
Step-by-step explanation:
So I am going to take all of this values and represent it as a proportion, So here's how it is going to look,
Km : Litre : : Km : Litre
Let's keep the missing value as x
= 8 : 1 : : 152 : x
We know that,
Product of ext. terms = Product of middle terms
8 * x = 1 * 152
8x = 152
x = 152/8
x = 19
So therfore it will take 19 lites to travel 152 km.
(So to put everything in a nutshell we have to divide 8 by 152 to get the answer)
Hope this helps :)
Explain why a variable's coefficient is 1 unless you see another number in front of it.
For adding variables we use the coefficient as 1 if there is no number infront of variable.
What is Expression?An expression is combination of variables, numbers and operators.
A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.
Let us consider a algebraic expression
ax+by+z=0
In the given expression a, b are coefficients of x and y respectively.
We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.
Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.
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A psychologist is interested in the social interactions of preschool children. She measures the number of verbal interactions that each child at a preschool engages in during a day. Here is the frequency distribution of the data. The cumulative frequency for the interval 46-55 is _________
Answer:
[tex]CF = 13[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the cumulative frequency for interval 46 - 55
To do this, we add up the frequency from the lowest interval up to interval 46 - 55.
From the attached table, the lowest interval is 6-15.
So, the cumulative frequency (CF) is:
[tex]CF = 1+2+3+3+4[/tex]
[tex]CF = 13[/tex]
what is 6x1/3? in math ok.
Laura wants to learn more about her new high school. Which of the following is a statistical question Laura could ask?
A. What is the address of the school
B. Who is the principal
C. How old are the students at the school
D. Does the high-school have a jazz band
Answer:
D.
Step-by-step explanation:
There is no explanation
What is the CONSTANT in the expression 3k + 12?
Answer: 12
Step-by-step explanation:
The constant of the expression is 12.
What is a constant?'A constant is a value or number that never changes in expression that is it's constantly the same.'
According to the given problem,
In the expression 3k + 12 , k is a variable. A variable is a quantity that may change with respect to the mathematical criteria.
If k = 1, the value of the expression is (3 × 1) + 12 = 15
k =2, the value is (3 × 2) + 12 = 18
But we can see that no matter the value of k is, the expression has to be added with 12.
Hence, we can conclude that since the value of 12 does not change irrespective of the changing values k, the constant of this expression is 12.
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1. The classroom's thermostat was set at 21°C. What is the temperature in Fahrenheit degrees? Round your answer to the nearest whole number
Answer: 69.8°F
Step-by-step explanation: