If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
Given,
The average of x and y = 11
We know average = Sum of the terms / Number of terms
Then, the equation will become
[tex]\frac{x+y}{2}=11[/tex]
x+y =11×2
x+y =22
Average of x, y and z = 5
[tex]\frac{x+y+z}{3}=5[/tex]
x+y+z = 5×3
x+y+z =15
Substitute the value of x+y
22+z=15
z =15-22
x = -7
Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
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There are 900 boys and 300 girls at eqinisweni secondary school. martha claims that 25% of the learners are girls. verify her claim by means of calculations
Martha's claim that the 25% of the learners are girls, is correct.
In this question,
There are 900 boys and 300 girls at Eqinisweni secondary school.
Martha claims that 25% of the learners are girls.
We need to verify her claim by means of calculations.
Based on the given conditions, we formulate:
300 / (900 + 300)
We simplify above expression.
= 300 / 1200
= 1/4 ..................(Cross out the common factor)
Now multiply a number 25 to both the numerator and the denominator:
= (1 × 25)/(4 × 25)
= 25/200
Now we rewrite a fraction with denominator equals 100 to a percentage: 25%
This means, Martha's claim that the 25% of the learners are girls, is correct.
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A football team must move the ball forward at least 10 yards from its starting point to make a first down if the team has 2 losses of 2 yards each and a gain of 12 yards does the tean make a first touchdown justify your answer
No ,the team will not make the first down.
The definition of a yard is an outdoor area of a house or other building. An example of a yard is the lawn in front of your house; a front yard. An example of a yard is the area around a train repair center where trains are stored; a rail yard.
the first of a series of usually four downs in which a football team must net a 10-yard gain to retain possession of the ball.
If the team with the ball can pick up one yard or more on the third-down play, then they will be given a first down, which means they get to start all over with a new set of four downs. A team can continue moving the football down the field as long as they continue to pick up first downs.
we have been given that -
the ball forward at least 10 yards from its starting point to make a first down if the team has 2 losses of 2 yards each and a gain of 12 yards
Here are the integers that are represented by the scenario.
-2 + -2 = -4
-4 + 12 =8 yard gain.
There are 2 yards less of the first down.
Hence, the team will not make the first down.
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Given y = x^2 - 4, what is the value of y when x = -5?
Answer:
21
Step-by-step explanation:
y = [tex]x^{2}[/tex] -4 Substitute in -5 for x
y = [tex](5)^{2}[/tex] - 4
y = 25 - 4
y = 21
Answer:
y = 21
Step-by-step explanation:
Plug in -5 into the equation
(-5)² - 4
25 - 4 = 21
Write this sentence as an inequality
Answer:
8b+2=3
Step-by-step explanation:
8b+2 have to addition
cosec4A-1/cot4a=1+2tan2a
Answer:
See image for answer.
What's 960 divided by 40?
Answer:
24
Step-by-step explanation:
960/40 =
To make it simpler you could divide 10 by both digits to simplify them (as in fractions).
960/10 = 96
40/10=4
Now your have 96/4
Again this can be simplified by dividing both by 2
96/2 = 48
4/2 = 4
48/2
48 is definitely a multiple of 2, so dividing this your answer is 24
The expression 960 divided by 40 is 24.
We have,
Expression:
960 divided by 40
This can be written as,
960 ÷ 40
40 ) 960 (24
80
160
160
0
The quotient is 24 and the remainder is 0.
Thus,
The expression 960 divided by 40 is 24.
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Please help with problem 27
Answer:
Step-by-step explanation:
I have a tip for you have you ever used the website Desmos graphing calculatr if you havnt i can help you a lot thats how i passed that class
tep 2 of 3: find the standard error of the sampling distribution to be used in constructing the confidence interval. round your answer to two decimal places.
Lower = 61.655811
Upper = 0.3441888
What is sampling distribution ?The probability distribution of a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution. The frequency distribution of a variety of possible outcomes for a population statistic makes up the sampling distribution of a specific population. A population is the total group from which a statistical sample is taken in statistics. An complete collection of individuals, things, occasions, medical visits, or measures can all be referred to as a population. Thus, a population may be defined as an overall observation of persons that have been categorized according to a common characteristic.
=2.11(126)
=15(D28)
Lower = 61.655811
Upper = 0.3441888
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if a deli offers 10 fillings, 9 types of bread, and 6 condiments, and each sandwich consists of a filling, a type of bread, and a condiment, how many different sandwiches can the sandwich shop create?
540 and 5760 sandwiches can the sandwich shop create
10 fillings, 9 bread, 6 condiments
= 10 possibilities × 9 possibilities × 6 possibilities
=540
10 fillings, 9 bread, 6 condiments
= 10 possibilities × 9 possibilities × 64 possibilities
=5760
sandwich can have any no.of condiments,
let say A,B,C are condiment then possibilities are
A,B,C,AB,BC,AC,ABC , no condiment
i.e, [tex]2^{6}[/tex] = 64 possibilities.
What do you mean by possibilities?A likelihood that something will or won't occur or exist: the condition or reality of being possible There is a chance of rain today. A potential event or object that might exist It's possible that life exists on other worlds. More about potential from Merriam-Webster.
An example of a probability that you will attend a party is if there is a 50/50 chance that you might do so. The green dress is an example of a potential option you may select from when given the choice between wearing a red dress or a green dress.
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An artist used 6 tubes of red paint, 2 tubes of yellow paint, 13 tubes of white paint, and 9 tubes of blue paint for a mural. what is the ratio of blue paint tubes to all the tubes of paint used?
The ratio of blue paint to all tubes of paint = 3:10
Number of tubes of red paint = 6 tubes
Number of tubes of yellow paint = 2 tubes
Number of tubes of white paint = 13 tubes
Number of tubes of blue paint = 9 tubes
Total no. of paint tubes = 6 red tubes + 2 yellow tubes+ 13 white tubes + 9 blue tubes = 30 tubes of paint
We use the following formula to find the required ratio:
The ratio of blue paint tubes to all tubes of paint = Number of blue paint tubes: Number of all tubes = 9:30 or 3:10
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|60| ___ |-60| = < >
Answer:
It is equal
Step-by-step explanation:
60 and -60 cancel each other out so the answer is equal.
Answer: |60|=|-60|
Step-by-step explanation:
|-60| would turn into 60 and |60| would remain 60 so they are equals
if there are ten marbles in a bag (those marbles being two yellow, three pink, and five blue) and two are randomly drawn, what is the probability of drawing two yellow marbles if the first one isn't put back before the second draw?
please help T^T
The probability of drawing two yellow marbles if the first one isn't put back before the second draw will be 1/45.
How to calculate the probability?Number of yellow marbles = 2
Number of pick marbles = 3
Number of blue marbles = 5
Total number = 10
The probability of drawing two yellow marbles if the first one isn't put back before the second draw will be:
= 2/10 × 1/9
= 2/90
= 1/45
The probability is 1/45.
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30. Which of the following choices shows the slope-intercept form of the equation below?
31. Which of the following choices shows the standard form of the equation below?
The equation of the lines in slope intercept form and standard form is y = -2x + 10 and 2y+3x = 10
Equation of a line in slope intercept formThe equation of a line in point slope form is y = mx + b.
Given the equation below:
y-7 =-5/2(x+4)
2(y-7) = -5(x+4)
2y-14 = -4x - 20
2y = -4x-20+40
2y = -4x + 20
y = -2x + 10
For the equation;
y = -3/2 x + 5
Multiply through by 2
2y = -3x + 2(5)
2y = -3x + 10
2y+3x = 10
Hence the equation of the lines in slope intercept form and standard form is y = -2x + 10 and 2y+3x = 10
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a trapezoid was transformed on a coordinate grid using the rule (x, y) → (–x, y). which of the following describes this transformation?
reflect over x axis transformation represents this rule (x, y) → (–x, y).
How to find the type of transformation?Make a coordinate plot using squared paper.
An illustration.
take the coordinate points (2,3) and (-3,-2)
They are reflected in the x-axis.
The results that you should get are as follows.
(2,-3) and (-3,2)
The y-coordinate is the opposite of the original position, while the x-coordinate is unchanged.
This can be described generally as (x, y) → (–x, y).
When a point is reflected across the X-axis, its X-coordinate stays constant. On the other hand, the Y-coordinate is altered to the opposite sign.
The point (x,y) is therefore reflected across the X-axis as (x,-y).It is known as a reflect over x axis transformation.
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can i please have help
Answer:
Side 3 = 5cm
Step-by-step explanation:
135/9=15
15/3=5
Which formulas have been correctly rearranged to solve for radius? check all that apply. r = startfraction g times m subscript central baseline over v superscript 2 baseline endfraction. r = startfraction f subscript c baseline times m over v superscript 2 baseline endfraction. r = startfraction a subscript c baseline over v superscript 2 baseline endfraction r = startfraction v t over 2 pi endfraction r = startfraction a subscript c baseline times t over pi endfraction
r = \frac{GM}{v^{2} } formulas have been correctly rearranged to solve for radius.
What is circular motion ?
An object moving in a circular motion is defined as rotating while doing so. There are two types of circular motion: uniform and non-uniform. While the angular rate of rotation and speed are constant during uniform circular motion, they are not during non-uniform motion.The problem is asking to find the radius of the orbit of a satellite around a planet, given the orbital speed of the satellite.
For a satellite in orbit around a planet, the gravitational force provides the required centripetal force to keep it in circular motion, therefore we can write:
[tex]\frac{GMm}{r^{2} } = m\frac{v^{2} }{r}[/tex]
where
G is the gravitational constant
M is the mass of the planet
m is the mass of the satellite
r is the radius of the orbit
v is the speed of the satellite
Re-arranging the equation, we find
[tex]\frac{GM}{r} = v^{2}[/tex]
[tex]r = \frac{GM}{v^{2} }[/tex]
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Answer: a and d
Step-by-step explanation: edge 2022
which function is not continuous? a. your altitude as a function of time while flying from reno to dallas. c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls. b. time of travel from miami to pensacola as a function of driving speed. d. area of a circle as a function of radius. please select the best answer from the choices provided a b c d
The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
We know that a function that does not have discontinuities in the values that means any changes in value.
We have been given four statements.
a. your altitude as a function of time while flying from reno to Dallas.
c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
b. time of travel from Miami to Pensacola as a function of driving speed.
d. area of a circle as a function of radius.
We need to find a function which is not continuous.
The function which is not continuous is the statement C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
Because the number of these balls is discreet, not continuous (meaning that there cannot be 2.3 balls).
Therefore, The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
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Select the correct answer from each drop-down menu. what is the end behavior of function h? as x approaches negative infinity, approaches . as x approaches positive infinity, approaches .
Because the variable has an even power, we will see that:
As x approaches -∞, h(x) approaches -∞
As x approaches ∞, h(x) approaches -∞.
Here we have h(x) = -4x^2 + 11
Notice that the variable is squared, this means that the sign does not matter, the outcome of:
-4x^2 will always be negative. So in both ends (when x tends to infinity and negative infinity), we will have the same end behavior.
When we take that limit, -4x^2 will just tend to negative infinity, then in both cases, the function tends to negative infinity.
So we have:
As x approaches negative infinity, h(x) approaches negative infinity.
As x approaches positive infinity, h(x) approaches negative infinity.
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Find the area of ABCD with vertices A(-2, 6), B(4, 6), C(5, 4), and D(-1,-4).
The area of ABCD is
___ square units.
The area of the quadrilateral ABCD is equal to 12 square units.
How to determine the area of the parallelogram
In this question we find a parallelogram, of which a pair of parallel sides is parallel to the x-axis. The area of the parallelogram is equal to the product of its base and its height. The quadrillateral ABCD has a base of 6 units and the height is 2, and the area of the quadrillateral is equal to:
A = 6 · 2
A = 12
The area of the quadrilateral ABCD is equal to 12 square units.
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round each decimal to the nearest whole number 10.76
Answer:
11
Step-by-step explanation:
Answer: 11
Step-by-step explanation: Hope this helps:)
Triangle ABC lies on the coordinate plane with the vertices A(7,6), B(-3,5) and C(-6,1).
The triangle is transformed using the rule (x, y) --> (x+4, 3y) to create triangle A'B'C'.
What are the coordinates of B'?
The transformation, the coordinates of point B' become (1, 15).
The transformation rule (x, y) → (x + 4, 3y) involves shifting the x-coordinate by 4 units to the right and stretching the y-coordinate by a factor of 3. To find the coordinates of B' after applying this rule, we take the coordinates of point B(-3, 5):
x-coordinate of B' = x-coordinate of B + 4 = -3 + 4 = 1.
y-coordinate of B' = y-coordinate of B * 3 = 5 * 3 = 15.
Therefore, after the transformation, the coordinates of point B' become (1, 15). This means that B' is located 4 units to the right of B along the x-axis and its y-coordinate is three times that of B. The transformation has shifted and stretched the original triangle, resulting in a new position for point B'.
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Solve for X
I need help please
Answer:
x = 24.5
Step-by-step explanation:
First find angle G: 90 degrees
Then do 90 degrees minus 41: 49 degrees
Find 49 = 2x - 8
Do 49 + 8: 57
57/2 = x
X = 24.5
what is the product?
(3a²b^4)(-8ab³)
Answer:
-24a^3b^7
Step-by-step explanation:
Answer:
[tex]-24a^3b^7[/tex]
Step-by-step explanation:
Hello!
We can simplify by multiplying and expanding the expression. Then, multiply with the same variables.
Simplify[tex](3a^2b^4)(-8ab^3)[/tex][tex](3)(a^2)(b^4)(-8)(a)(b^3)[/tex][tex](3)(-8)(a^2)(a)(b^4)(b^3)[/tex][tex]-24a^3b^7[/tex]The simplified expression is [tex]-24a^3b^7[/tex].
Rewrite the equation 4 = -6x + 3y + 3x in slope intercept form. (y = mx + b)
a.) y = 4/3 x +1
b.) y = x + 4/3
c.) y = -x + 4/3
d.) y = - 4/3 x + 1
Answer:
the answer will be
b.)
4 = -6x+3y+3x
4 = -3x+3y
3y = 3x+4
y. = x+4/3
A MATCHBOX HOLDS 48 MATCHES.HOW MANY MATCHBOXES ARE NEED TO HOLD 1104 MATCHES?
Answer:
23
Step-by-step explanation:
1104/48 = 23 boxes
auto pistons at wenming chung's plant in shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. from sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: day mean bold x overbar (mm) range r (mm) 1 156.9 4.4 2 155.2 4.4 3 155.6 4.1 4 155.5 5.2 5 154.6 4.3 part 2 a) what is the value of x double overbar ? x double overbar equalsenter your response here mm (round your response to two decimal places).
The value of the x double bar (mean) of the given data is 155.16mm.
What is mean?
The mean (average) of a records set is observed with the aid of using including all numbers withinside the records set after which dividing with the aid of using the quantity of values withinside the set. The median is the center price while a records set is ordered from least to greatest. The mode is the quantity that takes place most customarily in a records set. Created with the aid of using Sal Khan
X bar = sum of all means / numbers of means
X bar = (156.9 + 153.2+153.6+155.5+156.6) / 5
X bar = 775.8 / 5
X Bar = 155.16mm
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Are they símilar? Yes or no
Answer:
yes
Step-by-step explanation: Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
The area of the top face of a cube is 9 square centimeters. use 9 of these cubes to make a rectangular prism. What is the volume of the rectagular prism
The volume of the rectangular prism is 243 cm³
given that
The top face of the cube has an area of 9 cm²
since All the faces of the cube are squares
therefore The top face is a square
∵ Area of any square = L² , where L is the length of the side of
the square
∵ Area of the top face is 9 cm²
∴ L² = 9 ⇒ take √ for both sides
∴ L = 3 cm
∵ The volume of any cube = L³
∵ L = 3 cm
∴ The volume of the cube = (3)³ = 27 cm³
- We will use 9 cubes to make a rectangle prism
∴ The volume of the rectangle prism is equal to the volume of
the 9 cubes
∴ The volume of the prism = 9 × volume of a cube
∵ The volume of the cube is 27 cm³
∴ The volume of the prism = 9 × 27 = 243 cm³
* The volume of the rectangular prism is 243 cm³
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The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y. Simplify completely.
x = -4, y = 6
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=-4\\ y=6 \end{cases} \\\\\\ 6=k(-4)\implies \cfrac{6}{-4}=k\implies -\cfrac{3}{2}=k~\hfill \boxed{y=-\cfrac{3}{2}x}[/tex]
20 points How do you write four x cubed and also two x squared with numbers? asap please
Answer:
this should be the answer 4x^3 & 2x^2