Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Distribution = Normal
Mean(m) = 66
Standard deviation (σ) = 3 inches
A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66
B.) % horses with height between 60 and 72
Using the relation :
X = 60 ; 72
Z = (x - mean) σ
Z = (60 - 66) / 3
Z = - 6/3
Z = - 2
P(Z < - 2) = 0.0228 (using table)
Z = (72 - 66) / 3
Z = 6/3
Z = 2
P(Z < 2) = 0.9772 (using table)
P(score being between 60 and 72):
0.9772 - 0.0228= 0.9544
C) number of samples = 25
Height less than 63 inches :
PLZ ANSWER THIS QUICK! THANK U!!
X=−2 x=−1 x=1 6(0.5x−1.5)+2x=−9−(x+6) x = − 2 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = − 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) 4(0.5x−2)+3x=−14−(x+6) x = − 2 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = − 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) 8(0.5x−3)+4x=−9−(x+6)
Given:
Three equations are
[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]
[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]
[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]
Three solutions are [tex]x=-2,x=-1,x=1[/tex].
To find:
The solution of each equation from the given solutions.
Solution:
We have,
[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]
Using distributive property, we get
[tex]3x-9+2x=-9-x-6[/tex]
[tex]5x-9=-15-x[/tex]
Isolate variable terms.
[tex]5x+x=-15+9[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6.
[tex]x=-1[/tex]
Similarly,
[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]
[tex]2x-8+3x=-14-x-6[/tex]
[tex]5x-8=-20-x[/tex]
[tex]5x+x=-20+8[/tex]
[tex]6x=-12[/tex]
[tex]x=-2[/tex]
Now,
[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]
[tex]4x-24+4x=-9-x-6[/tex]
[tex]8x-24=-15-x[/tex]
[tex]8x+x=-15+24[/tex]
[tex]9x=9[/tex]
[tex]x=1[/tex]
Therefore, the solutions of given equations [tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex], [tex]4(0.5x-2)+3x=-14-(x+6)[/tex] and [tex]8(0.5x-3)+4x=-9-(x+6)[/tex] are x=-1, x=-2 and x=1 respectively.
What is the value of x in the following equation? 5(x + 3) = 30x
Answer:
x= 3/5
Step-by-step explanation:
5(x+3)=30x
5x+15=30x
-5x -5x
15=25x
x= 3/5
Answer:
3/5
Step-by-step explanation:
5(x+3)= 30x [
or,
(5×x)+(5×3)= 30x
or,
5x+15= 30x
or,
5x+15-5x= 30x-5x [The result or root of the equation remains same . if we multiply, divide, add or subtract any . number from each side of the equation]
or,
15= 25x
or,
15/25= x
or,
3/5= x
So, the value of x is 3/5
Solve the following system algebraically. Show all of your work. (5 points)
y = x + 3
3x + y = 19
Answer:x=4 and y=7
Step-by-step explanation:
of your division problem by the divisor and compare the result with the dividend. If they are equal, your division was correct. SAMPLE PROBLEM 1: Divide 564 by 47, and check your result with multiplication. your quotient.
La respuesta de tu división es exact
Step-by-step explanation:
Tu división es de 564/47 el consciente es: 12 ahora multiplicamos 47*12 = 564
What is the awnser??????? I need help!!!!!!
Answer:
upside down so i might be wrong but the ratio is 3/2
Step-by-step explanation:
3:2 milk to ice cream
other ratios would be
6:4 9:6 12:4 15:5
(the question is slightly confusing but I think this is what they are asking for. )
If is between 4 and 5, then x is _____. greater than 2 and less than 3 greater than 4 and less than 5 greater than 8 and less than 10 greater than 16 and less than 25
Answer:
between 4 and 5, also 4<5
=>4<x<5
=>greater than 4 and less than 5
Answer:
I think its 6
Step-by-step explanation:
If 4 less than 5 then 6 is Greater than 3.
So 6 is the blank
Hope this helps
please help thank you!!!
Answer:
s = 11.7 ft
Step-by-step explanation:
The bedroom is square, and the area A is equal to 137 ft^2.
Since the area formula for a square is A = s^2, s = √A.
Here, s = √137 ft, or s = 11.7 ft (to the nearest tenth of a ft)
A pentagon has two exterior angles that measure (3x)°, two exterior angles that measure (2x+22)°, and an exterior angle that measures (x+41)°. If all of these angles have different vertices, what is the measure of the smallest exterior angle? 25°25 degrees 66°66 degrees 75°75 degrees 72°
Answer:
2(3x)+2(2x+22)+x+41=360°
Step-by-step explanation:
Sum of exterior angles of any polygon is 360°.
So if we add up all five exterior angles of the pentagon, we have
Which one?
A. B. C. or D?
The graph below shows line segment XY. What is the slope of the line segment MN? ANSWER CHOICES:
A. -2
B. -1/2
C. 1/2
D. 2
Answer:
D. 2
Step-by-step explanation:
The rise is +2. The run is +1. Slope = (rise/run) = (+2/+1) = 2
A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a graph of all the data collected by the rain gauge over a 24-hour period. a. Would that graph be a discrete graph or a continuous graph? Explain your reasoning. b. b. Describe the general shape of the graph assuming it rained at a rate of 0.1 inch per hour for the entire 24-hour period. c. c. Describe the general shape of the graph assuming it rained 0.1 inch per hour for 6 hours, stopped raining for 6 hours, and then rained 0.2 inch for 12 hours.
Answer:
a. A continuous graph
b. a straight line graph with a gentle positive slope
c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line
Step-by-step explanation:
a. A continuous graph
Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous
b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;
i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches
c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;
i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)
ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line
iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight line with a gentle positive slope of 0.2.
Pam rented a bike from Jim's bike shop. Jim charges a rental fee of $6 and then $3 per hour
to rent the bike. If Pam paid $27, for how many hours did she rent the bike?
Answer:
7 hours
Step by step instructions:
$3 x 7 hours = $21
$21 + $6 = $27
what is addition property
Answer:
When we add two or more whole numbers, their sum is the same regardless of the order of the addends. The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order. When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
Step-by-step explanation:
there
There are four mathematical properties which involve addition. The properties are the commutative, associative, identity and distributive properties.
Commutative Property: When two numbers are added, the sum is the same regardless of the order of the addends.
For example 4 + 2 = 2 + 4
To remember the commutative property, it might be helpful to think about the word commute which means to switch places between home and work (or home and school). In the example above, you can see the 4 and the 2 commuting or switching places.
Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
For example (2 + 3) + 4 = 2 + (3 + 4)
To remember the associative property, it might be helpful to think about the word associate, which as a verb means to interact with a group (maybe you associate with a certain group of friends!). The parentheses are grouping operators, that is, they form groups of numbers and operations. You can see in the example above, the 3 can associate with either the 2 or the 4, but the value of each side is still a total of 9.
Identity Property: The sum of any number and zero is the original number.
For example 5 + 0 = 5.
To remember the identity property, it might be helpful to think of it as a question and answer: What number can I add so that the value is not changed? Zero. In the example above, the 5 gets to keep its identity because adding zero does not change its value.
Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.
For example 4 * (6 + 3) = 4*6 + 4*3
The distributive property is the only property that combines multiplication and addition. That makes it very important!
can someone PLEASE answer this
the correct answer is the last one. hope this helped
Answer:
y = 3x+1
Step-by-step explanation:
Slope:
Change in y = 6
Change in x = 2
6/2=3
Y intercept:
when x is 0 y is 1, so the y intercept is 1
therefore the answer is y = 3x+1
Which of the following is the correct equation for this function?
Answer:it’s D
Step-by-step explanation: put the equation into standard form and plugged it into my graphing calculator.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the distributive property to factor the expression.
2
k
+
10
Answer:
Step-by-step explanation:
2k+10 | Both terms share the common factor two, so you can take it out (divide both terms by 2)
2(k+5) | Now if you use the Distributive Property to double check, you get 2k+ 10 again
The rhombus QRST is made of two congruent isosceles triangles. Given angle QRS = 34, what is the measure of angle S?
Answer:
146
Step-by-step explanation:
Since we know that this is a rhombus, we know that opposite angles must be equal to each other. This means that angle QTS is equal to angle QRS. Therefore angle QTS also equals 34.
Now, we also know that all the interior angles in a quadrilateral add up to 360. We can subtract 360-34-34=292.
Now we know that the remaining two angles S and Q need to add up to 292. We also know that they are equal because they are opposite angles. Therefore, we can solve the equation 292÷2=146. Each of these angles is 146. So the measure of angle S is 146.
The measure angle of S is 146 .
A rhombus is a special case of the parallelogram and is a quadrilateral with four equal sides. In a rhombus, the opposite sides are parallel and the opposite angles are equal. Also, all the sides of the rhombus are equal in length and the diagonals bisect each other at right angles. The rhombus is also known as a diamond.
By symmetry ;
This means that m∠QTS is equal to m∠QRS. Therefore ∠QTS is also equals 34.
We also know that The common property for all the above four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees.
Now we know that the remaining two angles S and Q need to add up to 292.
= 360 -34 -34= 292
We also know that they are equal because they are opposite angles.
Therefore, we can solve the equation,
[tex]\frac{sum of two opposite angle}{2}[/tex] = [tex]\frac{292}{2}[/tex] = 146
Each of these angles is 146.
So the measure of angle S is 146.
For the more information about properties of rhombus click the link given below.
https://brainly.com/question/4115340
Does this graph show the set of all solutions for 7x +2y = -14?
Answer:
yes
Step-by-step explanation:
y= -7/2x -7
Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is half-way between negative 1 and 0. Point C is half-way between 0 and 1. Point D is half-way between 1 and 2.
Answer:
Points B and C
Step-by-step explanation:
Based on the information provided I have made a visual representation of the number line in the attached picture. Each of these points has a numerical value associated with it. Which would be the following ...
Point A = -2 ... since it is one position left of -1 which is -2 since each mark is a difference of 1 and to the left is a negative value.Point B = -0.5 ... since half-way between -1 and 0 is half of -1 which is -0.5Point C = 0.5 ...since half-way between 0 and 1 is basically half of 1 which is 0.5Point D = 1.5 ... since half-way between 1 and 2 is exactly that 1.5Therefore based on the numerical value of these points the two that are opposites are point B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is a positive, thus opposites.
Answer:
Sample Response: Change the improper fraction to the mixed number 21
2
. There are two complete wholes and a half left over. Plot 21
2
on the number line halfway between 2 and 3, or Point D.
Step-by-step explanation:
Which point lies on the graph of the function shown below y=-x^2+5x-3
A.(1,4)
B.(0,3)
C.(2,3)
D.(-2,2)
Answer:
C: (2,3)
Step-by-step explanation:
to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you
1-2x + 10 1 +12 = 4 *
Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1. (2 points) 8 more than half the difference of 2 and 1, and then subtract 6 Add 8 to half the difference of 6 and 2, then subtract 1 The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1 1 less than half of 6 plus the sum of 8 and 2
Answer:
Add 8 to half the difference of 6 and 2, then subtract 1
Step-by-step explanation:
8 + fraction 1 over 2 x (6 − 2) − 1.
The above is expressed mathematically as:
8 + 1/2(6 - 2) - 1
Therefore, the statement that describes this expression from the options given correctly is :
Add 8 to half the difference of 6 and 2, then subtract 1
Answer:
Add 8 to half the difference of 6 and 2, then subtract 1
Step-by-step explanation:
8 + fraction 1 over 2 x (6 − 2) − 1.
The above is expressed mathematically as:
8 + 1/2(6 - 2) - 1
Therefore, the statement that describes this expression from the options given correctly is :
Add 8 to half the difference of 6 and 2, then subtract 1
Erica and 4 friends are going out for pizza for dinner. They split one pizza and 5 small drinks. The pizza costs $13.00. They spend a total of $20.50. Find the cost of one small drink. Define the variable, write and solve an equation, and answer the question.
to find the cost of a small drink, you might want to:
subtract the decimalstotal cost : $20.50
cost of pizza :$13.00.
cost of one small drink : total cost - cost of pizza
: $20.50 - $13.00.
: 20.50
- 13.00
: 07. 50
: $ 7.50
6. Find the slope between:
(4, -3) and (8, -3)
Answer:
0
Step-by-step explanation:
Click through the graphs and select the one that best represents someone driving away from their house and having to stop for a stoplight at the corner.
Answer:
Its the last one
Step-by-step explanation:
I just did it and it was right
The graphs which represents someone driving away from their house and having to stop for a stoplight at the corner is graph (IV)
What is graph?A graph is a line straight or curved that shows relation between two quantities out of which one varies as a result of change in other.
To make it clear let us consider we have two variables x and y where,
y=2x
The variable that is made to alter or change is called the independent variable. Here in our case x is an independent variable. Another variable that varies as a result of the change in the independent variable is called the dependent variable.
Here y is the dependent variable whose value changes with change in the value of x.
As, from the situation someone driving away from their house then the distance will increase which is shown as the rising line of the graph.
Now, stop for a stoplight at the corner then to stop the car the speed should be decrease which tends to zero which is shown by the down line in the graph.
Hence, the graphs which represents someone driving away from their house and having to stop for a stoplight at the corner is graph (IV)
Learn more about graph here:
https://brainly.com/question/17267403
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Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?
Answer:
The average decrease each year is 60 because 300 divided by 5 is 60.
HOPE THIS HELPS
Solve the proportion 9/x = 18/5
Answer:
22.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Cross multiply:
9 * 5 = x * 18
Simplifying
9 * 5 = x * 18
Multiply 9 * 5
45 = x * 18
Reorder the terms for easier multiplication:
45 = 18x
Solving
45 = 18x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-18x' to each side of the equation.
45 + -18x = 18x + -18x
Combine like terms: 18x + -18x = 0
45 + -18x = 0
Add '-45' to each side of the equation.
45 + -45 + -18x = 0 + -45
Combine like terms: 45 + -45 = 0
0 + -18x = 0 + -45
-18x = 0 + -45
Combine like terms: 0 + -45 = -45
-18x = -45
Divide each side by '-18'.
x = 2.5
Simplifying
x = 2.5
Directions
Which one of the following describes the best estimate for 15+ 13?
Answer:
30
Step-by-step explanation:
15 - 20
13 - 10
20+10=30
Is y=3x^2+1 a linear or nonlinear equation?
Answer:
nonlinear
Step-by-step explanation:
because the axis is located below so its all gucci
Answer:
Nonlinear
Step-by-step explanation:
It's actually a parabola because it has a squared value.
Hope that helps and have a great day!