============================================================
Explanation:
The graph of y = 5 is the horizontal line through 5 on the y axis. Two points on this line are (0,5) and (1,5).
Similarly, the graph of y = -3 is the same idea, but the horizontal line goes through -3 this time. Two points on this line are (0,-3) and (1,-3)
Let's say we're at (0,5). Directly below this point, on the other line, is (0,-3). The midpoint of (0,5) and (0,-3) is (0,1)
The midpoint of (1,5) and (1,-3) is (1,1)
We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant from the lines y = 5 and y = -3. It's the middle line halfway between the two given lines. Think of it as the median of the highway (the two shoulders of the highway being y = 5 and y = -3).
So that's why the answer is A) 1 line
------------
Side note: any time we have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the median/middle line as described above. This applies to diagonal parallel lines as well, and vertical parallel lines.
HELP! Urgent! PLZ Needed Now!
Answer / Explaination:
An equation that represents this problem is b = 52h.
A linear model that represents this equation would look as such (see below)
To predict how many boxes would be produced after an 8 hour shift, you can look at the graph (see additional attatchement) or substitute 8 in for h in the equation.
b = 52(8)
b = 416
the length of a rectangle is four times it's width.if the perimeter is 70cm. Calculate the length and area of the rectangle
Answer:
length=28 cm
the area = 196 cm²
Step-by-step explanation:
length = 4 × width
2×(4w+w) = 70
2×5w=70
10w=70
w= 7 cm
length = 4×7 = 28 cm
the area = 28 ×7 = 196 cm²
Mr. Rawlins graded 11 students' tests with the following results. 88, 76, 81, 92, 95, 65, 77, 86, 90, 88, 83 A box and whisker plot of these scores would show that 25% of the students earned a score greater than or equal to what number?
Answer:
90
Step-by-step explanation:
min is 65
median is 86
quartile 1 is 77
quartile 3 is 90
max is 95
highest 25% of data resides between quartile 3 and max
Please look at the image
Answer: ok i did :)
Step-by-step explanation: how are you?
A marketing research company desires to know the mean consumption of milk per week among people over age 31. A sample of 343 people over age 31 was drawn and the mean milk consumption was 4.4 liters. Assume that the population standard deviation is known to be 0.9 liters. Construct the 90% confidence interval for the mean consumption of milk among people over age 31. Round your answers to one decimal place.
Answer:
(4.3 ; 4.5)
Step-by-step explanation:
Given :
Sample size, n = 343
Sample Mean, xbar = 4.4
Standard deviation, σ = 0.9
Zcritical at 90%
Using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * σ/√n
Margin of Error = 1.645 * (0.9/√343)
Margin of Error = 0.0799394
Lower boundary = 4.4 - 0.0799394 = 4.320
Upper boundary = 4.4 + 0.0799394 = 4.480
(4.320 ; 4.480)
PLEASE IM BEGGING!!!
The questions is: Find the perimeter and the Area of a Trapezoid
Answer:
Step-by-step explanation:
P = 65.4
not sure about area Sorry
What are the answer
Answer:
1)556.11 cm²
2)164.05 cm²
3)117.70 cm²
Step-by-step explanation:
1) We have a cylinder and a cone on top of it.
Formula for total surface area of cylinder is;
T.S.A = 2πrh + 2πr²
However, the top is not available for calculation here. Thus, we will use;
TSA = 2πrh + πr²
Thus;
TSA = 2π(5 × 12) + π(5)²
TSA = 455.53 cm²
The top is a cone but it's bottom is not included and so we will use lateral surface area of cone = πrL
L is the slanting height and can be calculated from pythagoras theorem ;
L = √(5² + 4²)
L = √41
Thus;
LSA = π × 5 × √41 = 100.58 cm²
Overall surface area = 455.53 + 100.58. Overall surface area = 556.11 cm²
2) for the box down;
TSA = 2lw + 2lh + 2hw
Since the top face is not used, then
TSA = lw + 2lh + 2hw
TSA = (5 × 5) + 2(5 × 5) + 2(5 × 5)
TSA = 125 cm²
For the prism on top, since the bottom is not included, we will use lateral surface are;. LSA = ½Pl
Where P is perimeter of base and L is slant height.
P = 5 × 4 = 20 cm
Radius is 5/2 = 2.5 and so using pythagoras theorem;
L = √(2.5² + 3²)
L = 3.905 cm
Thus;
LSA = ½ × 20 × 3.905 = 39.05 cm²
Overall surface area = 39.05 + 125 = 164.05 cm²
C) for the box down;
TSA = 2lw + 2lh + 2hw
Since the top face is not used, then
TSA = lw + 2lh + 2hw
TSA = (4 × 4) + 2(4 × 4) + 2(4 × 4)
TSA = 80 cm²
For the half cylinder on top;
Surface area ;
T.S.A = 2πrh + 2πr²
Since half cylinder;
TSA = πrh + πr²
TSA = π((2 × 4) + 2²))
TSA = 37.7 cm²
Overall total surface area = 80 + 37.7 ( 117.70 cm²
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches? (5 points) 6 inches 8 inches 12 inches 20 inches
9514 1404 393
Answer:
12 inches
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
Fill in the given values and solve for the height.
24 in² = 1/2(4 in)h
h = (24 in²)/(2 in) = 12 in
The height of the triangle is 12 inches.
Answer:
12 inches
Step-by-step explanation:
Area = [tex]\frac{1}{2}bh[/tex]
24 = [tex]\frac{1}{2} * 4 * h[/tex]
24 = 2h
h = 12 inches
The table below shows the relationship between C, the cost in dollars of a piece of gold, and W, its weight in ounces.
Cost of Gold Based on Weight
Cost (C ) in
Dollars Weight (W ) in
Ounces
7,200 12
13,200 22
19,200 32
Which equation could be used to determine the cost of a piece of gold of any weight?
(any links, or incorrect answers will be reported and banned)
Answer:
Solution given:
12 Ouches =$7200
per Ouches =$7200/6=$600
So
the required equation for the cost of any weight of gold is:
C.
600W=C is a required equation.
Answer:
600W=C
Step-by-step explanation:
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A garden hose sprays 24 gallons of water in 1 minute. The ratio of pints to gallons is 8 to 1. How many pints of water does the garden hose spray in 1 minute?
Answer:
24 gallons
Hope this helps! :)
Answer: 192
Step-by-step explanation:
So we know the hose sprays 24 gallons of water a minute. We also know that 8 pints equal a gallon. So to figure out how many pints are in one minute, we multiply 8 x 24, since we have 24 gallons a minute and 8 pints equal a gallon. This equals 192 pints a minute.
A carpenter purchased 50 ft of redwood and 80 ft of pine for a total cost of $277. A second purchase, at the same prices, included 90 ft of redwood and 60 ft of pine for a total cost of $381. Find the cost per foot of redwood and of pine.
Answer:
Let R = cost per foot of redwood, and
let P = cost per foot of pine.
The 1st sentence gives us 60 ft * R + 90 ft * P = $303, and
the 2nd sentence gives us 90 ft * R + 60 ft * P = $357.
So this is two equations and two unknowns, so we should be able to solve these.
Solve the first equation for P: 60 ft * R + 90 ft * P = $303
Subtract 60 ft * R from both sides of the equation: 90 ft * P = $303 - 60 ft * R
Now divide both sides of the equation by 90 ft: P = ($303 - 60 ft * R) / 90 ft = $101 / 30 ft - 2/3 * R
Next, substitute P into the second equation: 90 ft * R + 60 ft * P = $357
so we then have 90 ft * R + 60 ft * [$101 / 30 ft - 2/3 * R] = $357.
Now solve for R (remember, parentheses, exponents, multiplication and division, addition and subtraction):
90 ft * R + [$202 - 40 ft * R] = 50 ft * R + $202 = $357, or 50 ft * R = $155; so R = $155 / 50 ft = $3.10 / ft.
Now we can substitute this value for R into the first equation and solve for P: 60 ft * R + 90 ft * P = $303
so we then have 60 ft * $3.10 / ft + 90 ft * P = $303, or $186 + 90 ft * P = $303.
Subtracting $186 from both sides of the equation, and then dividing by 90 ft, we have P = $1.30 / ft
So P = $1.30/ft, and R = $3.10/ft.
To check this answer, plug both into the second equation:
90 ft * R + 60 ft * P = $357
90 ft * $3.10/ft + 60 ft * $1.30/ft = $279 + $78 = $357
38°
24 in
A restaurant owner plans to install this bicycle rack in front of her restaurant. In order to meet city safety requirements, the base
of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians. Will this bicycle rack be approved by the city?
Answer:
39
Step-by-step explanation:
Yes, the base of the bicycle rack measures about 15 inches.
Whta is the sin angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
A restaurant owner plans to install this bicycle rack in front of her restaurant.
In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.
The base of the bicycle is ;
In the right angle triangle;
[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]
Yes, the base of the bicycle rack measures about 15 inches.
Hence, Yes, the base of the bicycle rack measures about 15 inches.
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Please help me fast i need help
Answer:
minimum- 19
first quartile - 26.5
median - 29
third quartile - 31
maximum - 40
Step-by-step explanation:
How many proper subsets does the set T = {i, c, j, e} have?
A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 50 lawyers selected from the city reveals a mean annual salary of $ 112000, Assume that σ-$16 100, and that the test is to be made at the 2% significance level What are the critical values of z?
2.33 and 2.33
2.05 and 2.05
-1.645 and 1.645
-1.28 and 1.28
What is the value of the test statistic, z, rounded to three decimal places?
What is the p-value for this hypothesis test, rounded to four decimal places?
Should you reject or fail to reject the null hypothesis in this test?
Solution :
This is the two tailed test.
The null hypothesis and the alternate hypothesis is as :
Null hypothesis is [tex]$H_0:\mu=110000$[/tex]
Alternate hypothesis is [tex]$H_0:\mu \neq110000$[/tex]
[tex]$\overline x = 112000, \ \mu = 110000, \sigma = 16100, n = 50, \alpha = 0.02$[/tex]
Therefore, the critical value of z is :
[tex]$z_{\alpha} = -2.33 \text{ and}\ 2.33$[/tex]
Now the test statics is :
[tex]$z=\frac{\frac{(\overline x - \mu)}{\sigma}}{\sqrt n}$[/tex]
[tex]$z=\frac{\frac{(112000-110000)}{16100}}{\sqrt {50}}$[/tex]
[tex]$z=0.87$[/tex]
The test statics is 0.878
We see that it is a right tailed test.
[tex]$P(z > 0.878)=1-P(z<0.878) = 1 - 0.81 = 0.19$[/tex]
[tex]$P- \text{value}= \ 2 \times 0.19$[/tex]
= 0.3800
Thus , P-value > α
So we fail to reject the null hypothesis.
I NEED HELP ASAP!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
You are given the linear regression equation as y = -.36x + 12.6, where y is the wind chill and x is the wind speed. We are being asked for the wind chill when the wind speed is 22; therefore, we are being asked to plug in 22 for x and solve for y:
y = -.36(22) + 12.6 and
y = -7.92 + 12.6 so
y = 4.68F
A polynomial function has a root of -3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?
Answer:
see uploaded image
Step-by-step explanation: 5 30 10 04
x(x+3)²(x-1)(x-3)²
I attached my guess, since I don't see any graphs.
NOTE the x axis scale change on my submission.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
What is a polynomial function?A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.
This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.
In this polynomial:
Root -3 has an even multiplicity of 2 so it only touches and does not cross through.
Root 0 has an odd multiplicity of 1 so crosses through.
Root 1 has an odd multiplicity of 1 so crosses through.
Root 3 has an even multiplicity of 3 so it only touches and does not cross through.
Knowing this, only the first and second graphs are possible answers.
Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
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Logan is birdwatching at the coast. He records each bird he sees. herons 2 egrets 7 vultures 2 gulls 3 Considering this data, how many of the next 20 birds Logan sees would you expect to be egrets?
Answer: 10
Step-by-step explanation: First, write the experimental probability as a fraction in simplest form.
P(egret)
=
egrets
total
=
7
2+7+2+3
=
7
14
=
1
2
The experimental probability is
1
2
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1
2
=
n
20
1
2
(220)
=
n
20
(220) Multiply both sides by (220)
120
= 2n Simplify
20
= 2n Simplify
10
= n Divide both sides by 2
You would expect to see 10 egrets out of the next 20 birds.
The solution is, : 10 out of the next 20 birds Logan sees would you expect to be egrets.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
First, write the experimental probability as a fraction in simplest form.
P(egret)=egrets
total
=7
2+7+2+3=
7/14=1/2
The experimental probability is
1/2
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1/2=n20
1/2
(220)=n20
(220) Multiply both sides by (220)
120 = 2n Simplify
20 = 2n Simplify
10 = n [Divide both sides by 2]
You would expect to see 10 egrets out of the next 20 birds.
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What is the area of the figure? A 80 square inches 88 square inches C. 96 square inches D. 120 square inches
Answer:
88
Step-by-step explanation:
A crate is being lifted into a truck. If it is moved with a 2470 N force and 3650 J of work is done, then how far is the crate being lifted?
Answer:
3650
Step-by-step explanation:
Yes im doingbthis foe pointa
What is the value of z?
No links please!!
9514 1404 393
Answer:
z = 14.4
Step-by-step explanation:
The angle bisector divides the sides proportionally.
z/12 = 6/5 . . . . . . . . . write a proportion*
z = 12(6/5) = 72/5 . . . . . multiply by 12
z = 14.4
_____
* We consider the proportion easier to solve if the unknown is in the numerator. Then the solution is found by multiplying the equation by that denominator.
What shape has A pair of lines that form a right angle
Help I need fast school is almost out ill give brainliest
Answer:
11
Step-by-step explanation:
a^2 + 3b / c - 2d
put the numbers in the equation
3^2 + 3 x 8 / 2 - 2 x 5
pedmas
3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5
9 + 12 - 10
left to right
9 + 12 = 21
21 - 10 = 11
Answer:
the correct answer is 11
+ (3x8)/2 - (2x5)
9+ - 10
9+12-10=11
Step-by-step explanation:
I really need help please!!
How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x
Answer:
The graph of g(x) is the graph of f(x) moved down 4 units.
Step-by-step explanation:
Subtracting a function by a constant:
Subtracting a function by a constant x is the same as moving the function down x units.
In this question:
[tex]f(x) = 2^x[/tex]
[tex]g(x) = 2^x - 4[/tex]
Thus, the graph of g(x) is the graph of f(x) moved down 4 units.
Write a quadratic function h whose zeros are 1 and 4
Answer:
x² - 5x + 4
Step-by-step explanation:
work backwards from knowing zeros to writing factors, then use foil method
(x - 1)(x - 4)
x² - 4x - 1x + 4
x² - 5x + 4
In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." What is the discount? What is the sale price of the case of soda?
Solve the simultaneous equation
2x-3y =8 x+3y=14
Use elimination method....
Answer:
x = 22/3 y = 20/9
Step-by-step explanation:
2x-3y =8 x+3y=14
Add the two equations together to eliminate y
2x-3y =8
x+3y=14
-------------
3x +0y = 22
Divide each side by 3
3x/3 = 22/3
x = 22/3
Then take the second equation and multiply by -2 and add to eliminate x
2x-3y =8
-2x-6y=-28
----------------------
-9y = -20
Divide by -9
-9y/-9 = -20/-9
y = 20/9
x = 22/3 y = 20/9
A florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10 . She sells each bouquet of orchid for $25 and each rose bouquet for $30 . She earns $390 . If she sell four times as many orchid bouquets as rose bouquets. How many flowers does she sell all together?
Answer:
The florist sold 270 flowers.
Step-by-step explanation:
Since a florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10, and she sells each bouquet of orchid for $ 25 and each rose bouquet for $ 30, and she earns $ 390, if she sell four times as many orchid bouquets as rose bouquets, to determine how many flowers does she sell all together, the following calculation must be performed:
4 x 25 + 1 x 30 = 130
8 x 25 + 2 x 30 = 260
12 x 25 + 3 x 30 = 390
12 x 20 + 3 x 10 = X
240 + 30 = X
270 = X
Therefore, the florist sold 270 flowers.
HELLO CAN SOMEONE HELP ME PLOT THIS POINT? TY :)
It would be at (7,5)