Answer:
0.0062
Step-by-step explanation:
Given that:
Mean (μ) = 72 inches, Standard deviation (σ) = 1.2 inches.
The z score is a measure in statistics is used to determine by how many standard deviation the raw score is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean, the z score is negative.
The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
For Clydesdale is greater than 75 inches tall, x = 75 inches, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{75-72}{1.2} =2.5[/tex]
The probability that a Clydesdale is greater than 75 inches tall = P(X > 75) = P(Z > 2.5) = 1 - P(Z < 2.5) = 1 - 0.9938 = 0.0062 = 0.62%
The probability that a Clydesdale is greater than 75 inches tall is 0.62%
Consider the functions. F(x)=(x+1)2-4 and g(x)=-4|x+1| which statement compares the range of the functions?
Answer:
The fourthStep-by-step explanation:
Vertex of f is (-1, -4) so its range is limited to y≥-4
|x+1| is always ≥0 therefore -|x+1| is always ≤0 {4 is insignificant to this - slope doesn't mean in range} so its range is limited to y≤0
Answer:
D
Step-by-step explanation:
i just took the test
Factor 1
Which expression is the factored form of
x2 - 7x + 10?
+x
-X
42
-
+
0 (x+3)(x + 4)
o (x - 3)(x - 4)
(x-2)(x - 5)
(x + 2)(x + 5)
ON
-
+
+
-X
Factor
+
+
-
+
+
LY
+
+
-
+
+
Reset
Intro
ODNO
Answer:
(x - 2)(x - 5)Step-by-step explanation:
[tex]x^2 - 7x + 10=\\\\=x^2 - 5x -2x + 10=\\\\=x(x-5)-2(x-5)=\\\\=(x-5)(x-2)[/tex]
Answer:
[tex]\boxed{(x-2)(x-5)}[/tex]
Step-by-step explanation:
=> [tex]x^2-7x+10[/tex]
Using mid-term break formula
=> [tex]x^2-5x-2x+10[/tex]
=> x(x-5)-2(x-5)
Taking (x-5) as common
=> (x-2)(x-5)
what is the value of "c" by completing the square. x^2 - 14x +
Answer:
[tex]\large\boxed{\sf \ \ 49 \ \ }[/tex]
Step-by-step explanation:
Hello,
we need to get the discriminant = 0 meaning
[tex]\Delta = b^2-4ac = 0\\\\<=>14^2-4c=0\\\\<=>c=\dfrac{196}{4}=49[/tex]
And then the square is
[tex]x^2-2\cdot 7\cdot x+7^2=(x-7)^2[/tex]
Hope this helps
plzzzzz help meeee 10points!
Write as an algebraic expression: 6 less than the product of 4 and a number
Hi there! I know I'm a little late but, hopefully this helps!
-------------------------------------------------------------------------------------------------------------
"6 less than the product of 4 and a number" means:
4 × n - 6
PLEASE HELP!! ASAP
The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid. Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid? Answer choices: 9/16 or 16/9
At a central train station, there are 4 different train routes with trains that leave every 6 minutes, 10 minutes, 12 minutes, and 15 minutes. If each train can hold up to 200 passengers, what is the maximum number of passengers who can leave the station on a train in one hour?
Answer:
5,000 passengers
Step-by-step explanation:
1. Find out how many trains leave each hour.
6 min – 60/6 = 10 x 200 passengers = 2000
10 min – 60/10 = 6 x 200 passengers = 1200
12 min – 60/12 = 5 x 200 passengers = 1000
15 min – 60/15 = 4 x 200 passengers = 800
2. Add it all up.
2000 + 1200 + 1000 + 800 = 5000 passengers
Answer:
5000
Step-by-step explanation:
6 minute train leaves 10 times
10 x 200 = 2000 passengers
10 minute train leaves 6 times
6x200 = 1200
12 minute train leaves 5 times
5x200 =1000
15 minute train leaves 4 times
4x200 =800
2000+1200+1000+800=5000
assuming more than 1 train can be at the station at once
Multiply. √3 ⋅ √5 ⋅ √7 Enter your answer, in radical form, in the box.
Answer: square 105
Step-by-step explanation: Confirming answer
A radical expression is an expression containing a square root, mostly a square root.
The value of √3.√5.√7 in radical form is √105.
What is a radical expression?A radical expression is an expression containing a square root, mostly a square root.
We have,
√3.√5.√7
We can multiply the numbers together.
= √(3 x 5 x 7 )
= √(15 x 7)
= √105
Thus the value of √3.√5.√7 in radical form is √105.
Learn more about radical form here:
https://brainly.com/question/27272065
#SPJ2
Max is trying to prove to his friend that two reflections, one across the x-axis and another across the y-axis, will not result in a reflection across the line y = x for a pre-image in quadrant II. His friend Josiah is trying to prove that a reflection across the x-axis followed by a reflection across the y-axis will result in a reflection across the line y = x for a pre-image in quadrant II. Which student is correct, and which statements below will help him prove his conjecture? Check all that apply.
Max is correct.
Josiah is correct.
If one reflects a figure across the x-axis from quadrant II, the image will end up in quadrant III.
If one reflects a figure across the y-axis from quadrant III, the image will end up in quadrant IV.
A figure that is reflected from quadrant II to quadrant IV will be reflected across the line y = x.
If one reflects a figure across the x-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, –y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (–x, y).
Taking the result from the first reflection (x, –y) and applying the second mapping rule will result in (–x, –y), not (y, x), which reflecting across the line y = x should give.
Answer:
The correct option is;
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).
Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give
Step-by-step explanation:
We have that for reflection across the x-axis, (x, y) → (x, -y)
For reflection across the y-axis, (x, y) → (-x, y)
Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;
For reflection across the y-axis, (x, -y) → (-x, -y)
For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)
Answer:
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).
If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).
Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give
Step-by-step explanation:
List some typical benefits an employee might receive on top of their wage?
Answer:
paid vacation
paid medical
401k
This a math question plz help asap with correct answer and explanation will give brainiest
Answer:
Hey there!
This is an isosceles triangle, so if one angle is 44 degrees, (2 times 22), then the remaining angles add to 136 degrees.
136/2=68, so each of the angles are 68 degrees.
Hope this helps :)
Answer:
C = 68
Step-by-step explanation:
Y = 22
Then A = 2y = 2*22 = 44
We know that A + B + C = 180
And B = C since the base angles of an isosceles triangle are the same
44 + C+C = 180
44+2C = 180
2C = 180-44
2C =136
C = 68
Which is a qualitative graph? On a coordinate plane, a line with positive slope goes through points (negative 1, 0) and (0, 3). On a coordinate plane, points are at (0, 2), (1, 3), (2, 2.5), (3, 3), (4, 4), and (4.5, 5). A graph has time on the x-axis and height on the y-axis. The graph increases to point A, increases to point B, and then decreases to point C. A graph has time on the x-axis and height on the y-axis. Segment A increases, segment B is increases, and segment C decreases.
Answer:
(-1,0), (0,3) and (2,2.25)
Step-by-step explanation:
The qualitative graph is as follows:
A(-1,0) ------> B(0,3) ------> C(2,2.25)
Hence, slope = (2.25 - 0)/(2 - (-1)) = 2.25/3
∴ slope = 0.75
Except for the option graph on a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), all the graph is qualitative. Options B, C, and D are correct.
What is a qualitative graph?The kind of graph that shows the quality curve such as decreasing and increasing events, is called a qualitative graph or curve.
Here,
1. On a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), since this graph does not represent any data as well as also constantly increasing between two points so it is not a qualitative graph.
Similarly,
Graphs B, C, and D have an increasing and decreasing order, so all are qualitative graphs.
Thus, except for graph A all the graphs are qualitative graphs.
Learn more about qualitative graphs here:
https://brainly.com/question/21981889
#SPJ6
please help with this, 20p
Answer:
about 325
Step-by-step explanation:
On average, the mileage is about 21.7 miles per gallon, so 15 gallons would be good for about 325 miles.
If we look at the table for fills that total 15 gallons, we see the first and last total 330 miles, and the 3rd and 4th total 314 miles. So, we expect somewhere between these values, on average.
A formal average adds the miles driven and divides by the total of gallons used. That result is shown below. While we might estimate that we could drive 325 miles on 15 gallons, we have found that our mileage actually varies.
In a recent study, volunteers who had 8 hours of sleep were three times more likely to correctly on a math test than were sleep-deprived participants.
1) Identify the sample used in the study.
A) The sample is the math questions in the study.
B) The sample is the responses of the volunteers in the study.
C) The sample is the amount of sleep the volunteers got in the study.
D) The sample is the sleep-deprived participants in the study.
2) What is the sample's population?
A) The population is the collection of all the math questions from the math test.
B) The population is the collection of the responses of all individuals who completed the math test.
C) The population is the collection of all the individuals who completed the math test.
3) Which part of the study represents the descriptive branch of statistics?
1) Identify the sample used in the study: B) The sample is the responses of the volunteers in the study
2) What is the sample's population: B) The population is collected of the response of all individuals who completed the math test
3) Which part of the study represents the descriptive branch of statistics:
individuals who are not sleep deprived will be more likely to answer math questions correctly than individuals who are sleep deprived.
hope i helpd
-lvr
Simplify each expression.
1) 3(8Z² - 52 - 7)
2) 8d(2d-4)
6) 6(5x - 4)
7) 6q- 4
Answer:
1) 24Z^2 - 177.
2) 16d^2 - 32d.
6) 30x - 24.
7) 6q - 4.
Step-by-step explanation:
1) 3(8Z^2 - 52 - 7)
= 3(8Z^2 - 59)
= 24Z^2 - 177
2) 8d(2d - 4)
= (8d * 2d) - (8d * 4)
= 16d^2 - 32d
6) 6(5x - 4)
= (6 * 5x) - (6 * 4)
= 30x - 24
7) Already simplified. 6q - 4.
Hope this helps!
The base of a regular pyramid is a hexagon.
Answer this please :(
Answer:
Part A: check B, E and F.
Part B: check E and G.
Step-by-step explanation:
The equation [tex]y = a(x - b)^2 + c[/tex] is the equation of a parabola written in the vertex form, where the vertex will be (b, c).
So, if the vertex is (2, -1), we have that b = 2 and c = -1
To find the c value, we use the information that the y-intercept is 3, so we have the point (0, 3). Using x = 0 and y = 3, we have:
[tex]3 = a(0 - 2)^2 - 1[/tex]
[tex]3 = 4a - 1[/tex]
[tex]4a = 4[/tex]
[tex]a = 1[/tex]
So we have a = 1, b = 2 and c = -1.
Part A: check B, E and F.
To find the x-intercepts, we need to find the values of x where y = 0:
[tex]0 = (x - 2)^2 - 1[/tex]
[tex]x^2 - 4x + 4 - 1 = 0[/tex]
[tex]x^2 - 4x + 3 = 0[/tex]
Solving using Bhaskara's formula (a = 1, b = -4 and c = 3), we have:
[tex]\Delta = b^2 - 4ac = 16 - 12 = 4[/tex]
[tex]x_1 = (-b + \sqrt{\Delta})/2a = (4 + 2)/2 = 3[/tex]
[tex]x_2 = (-b - \sqrt{\Delta})/2a = (4 - 2)/2 = 1[/tex]
So the x-intercepts are 1 and 3
Part B: check E and G.
In training for a distance cycling event, Milicent bikes 23 miles to the park. Then, she bikes 42 miles to the beach before cycling 29 miles from the beach back to her house. How many total miles does Millicent cycling her bike? Give the numeric value only, without units.
Answer:
94
Step-by-step explanation:
Add the three distances.
23 + 42 + 29 = 94
94 miles
[tex]\text{We need to get the total miles Milicent cycled}\\\\\text{To do this, we would add up all the distances she travelled}\\\\\text{Add:}\\\\23+42+29=94\\\\\boxed{\text{94 miles}}[/tex]
pls answer asap i need this answer quick plus the full explanation #7
Please help!! Don't anwser if you dont know it :) Brainliest for right anwser
Answer:
D. The graph of g(x) is horizontal stretched by a factor of 3.
Step-by-step explanation:
Multiplying x by 1/3 stretches the graph horizontally by a factor of 3.
Answer:i think its d too
Step-by-step explanation:
Please Help Asap!!! Will give brainiest if answered correctly with explanation.
Answer:
HL and SAS
which agrees with the third option listed among your options
Step-by-step explanation:
Notice that you have two triangles (see attached image) which have a common side (marked in blue), sides YW and YZ (marked in green) congruent, and the angle in between also congruent.
Therefore we have two postulates than can be applied to prove that the triangles YWX and YXZ are congruent:
HL postulate : "congruent hypotenuse and a corresponding congruent leg " that corresponds to hypotenuses YW and YZ, and congruent leg which is the common segment YX.
and:
SAS postulate: "two sides and the included angle" which corresponds to sides YW, YX, and angle WYX on one triangle, and sides YX, YZ, and angle XYZ in the other triangle
please help !!!!!!!!
Answer:
x=3 y=11
Step-by-step explanation:
2x+3=9
2x=6
x=3
y-4=7
y=11
20 POINTS AND WILL GIVE THE BRAINLIEST!!! Jack's favorite sports drink comes in a 20-ounce bottle. The manufacturer of the sports drink requires a tolerance of 0.4 ounce. This means that as long as the bottle is within 0.4 ounce of 20 ounces, the bottle can be sent to stores to be sold.
sold. Write an absolute value inequality describes the acceptable weight, w, of a 20-ounce bottle of sports drink
Answer:
[tex]|w-20|\leq 0.4[/tex]
Step-by-step explanation:
The manufacturer requires that the weight differs from 20 oz in at most 0.4 oz, therefore we can write this difference (which can be either above or below 20 oz, to be smaller than or equal to 0.4 oz.
The weight can be:
1) smaller than or equal to 20 oz + 0.4 oz: [tex]w\leq 20+0.4[/tex] then [tex]w-20\leq 0.4[/tex]
2) larger than or equal to 20 oz - 0.4 oz: [tex]20-0.4\leq w[/tex] then [tex]-0.4\leq w-20[/tex]
and which combined, can be written as a double inequality;
[tex]-0.4 \leq w-20\leq 0.4[/tex]
This double condition can also be written using the absolute value symbol as: [tex]|w-20|\leq 0.4[/tex]
Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step?
Answer:
He should use the negative 1 unit tile.
Step-by-step explanation:
He should do this because in this equation you wish to isolate the variable on one side, and it would be better to first take away any constants. Afterwards, the variable would be next.
Answer: It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.\
Explanation: that's what i put and i got it right
PLZZZZZ MARK ME BRAINIEST
Please help
Factorise completely 36ab - 18b+6a-3
Answer:
[tex]3(6b-1)(2a-1)[/tex]
Step-by-step explanation:
[tex]36ab-18b+6a-3\\18b(2a-1)+3(2a-1)[/tex]
Taking (2a-1) as common
[tex](18b+3)(2a-1)[/tex]
=> [tex]3(6b-1)(2a-1)[/tex]
Answer:
[tex]3(6b+1)(2a-1)[/tex]
Step-by-step explanation:
[tex]36ab - 18b+6a-3[/tex]
Factor the two groups.
[tex]18b(2a-1)+3(2a-1)[/tex]
Take 2a - 1 common.
[tex](18b+3)(2a-1)[/tex]
Factor 18b + 3.
[tex]3(6b+1)(2a-1)[/tex]
Please help fast! 25 points and brainliest!! Let f(x) = 36x5 − 44x4 − 28x3 and g(x) = 4x2. Find f of x over g of x
Answer:
fx/gx=10
Step-by-step explanation:
fx= (36x5)-(44x4)-(28x3)
fx=80
gx= 4x2
gx=8
To work out fx/gx:
fx/gx=80/8
fx/gx=10
This is the graph of y = sin(x). Does anyone know the second part?
Answer:
The resulting graph is [tex]y = 5\cdot \sin x[/tex].
Step-by-step explanation:
The resulting function is of the form:
[tex]y = A\cdot \sin x + k[/tex]
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]A[/tex] - Amplitude, dimensionless.
[tex]k[/tex] - Midpoint value, dimensionless.
The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: [tex]A > 0[/tex]. According to the graph, the function is bounded between 5 ([tex]y_{max}[/tex]) and -5 ([tex]y_{min}[/tex]), and the midpoint value ([tex]k[/tex]) is 0. The amplitude is determined by the following calculation:
[tex]A = \frac{y_{max}-y_{min}}{2}[/tex]
If [tex]y_{min} = -5[/tex] and [tex]y_{max} = 5[/tex], then:
[tex]A = 5[/tex]
The resulting graph is [tex]y = 5\cdot \sin x[/tex].
Answers for whole assignment:
(starting after this question)
2) graph 2
3) Minimum: -4
Maximum: 4
Amplitude: 4
zeros: 2nd and 3rd option
4) 2nd graph
5) range of y = sin(x)?
1st one
range of y = 3sin(x)?
2nd one
range of y = –3sin(x)?
2nd one
range of y = –3sin(x) – 2?
3rd one
6) graph 1
7) graph 3
8) amplitude = 2
midline y = 4
3rd option
9) 2nd option
10) The graph of y = –2sin(x) – 1 is the graph of the parent function stretched vertically by a factor of 2, reflected over the x-axis, and shifted 1 unit down. The maximum of the parent function is 1, the minimum is –1, and the amplitude is 1. The maximum of y = –2sin(x) – 1 is 1, the minimum is –3, and the amplitude is 2.
Simplify: 14 - 2+ 8 = 2 *3
helppp meeee
Answer:
20=6?
Step-by-step explanation:
14-2+8=2*3
14-2+8=6
12+8=6
20=6?
Answer:
These to equations aren't equivalent.
Step-by-step explanation:
14-2+8=2*3
12+8=6
20=6
Hope this helps ;) ❤❤❤
Which of the following is a key property of the quadratic parent function?
Answer: B
Step-by-step explanation:
Quadratic parent function is y=x^2 which means the vertex is the origin because if you input 0 into the function you will get an output of zero. (0,0) is the origin which is where the graph intersect.
Given: DF and DE are midsegments of ∆ABC Prove: DE= 1/2 AC (PLEASE HELP)
Answer:
The correct answer is D because we proved that the triangles ΔDBE and ΔADF are congruent so that means that DE = segment A F because of CPCTC.
Answer:
The correct answer is D because we proved that the triangles ΔDBE and ΔADF are congruent so that means that DE = segment A F because of CPCTC.
Step-by-step explanation:
Plot and connect the points A(-4, -1), B(6, -1), C(6, 4), D(-4, 4), and find the area of the rectangle it forms.
Answer:
50 square units
Step-by-step explanation:
When graphed you have a width of 5 and a length of 10 so multiply them together to get 50
Answer:
Step-by-step explanation:
I have this question too. I think it is 45. sorry if its incorrect