1 minus StartFraction 9 over 16 EndFraction
This is the same as writing 1 - 9/16
======================================================
Explanation:
9/16 is the fraction 9 over 16
It is a shorthand way of saying 9 squares are shaded out of 16 total.
When writing 1 - 9/16 or 1 - (9/16), this represents the number of white squares that aren't shaded blue.
------------
This is what happens when you simplify the expression
1 - 9/16
16/16 - 9/16
(16-9)/16
7/16
This shows that there are 7 white squares.
------------
Or if you want, you can think of it like this:
16 squares total, 9 are blue
16-9 = 7 squares are white
7/16 is the fraction of squares that aren't shaded blue.
The distribution of the number of words in text messages between employees at a large company is skewed right with a mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages is selected, what is the probability the sample mean is more than 10 words?
0.0210
0.2454
0.3724
0.9790
Using the normal distribution and the central limit theorem, the probability the sample mean is more than 10 words is of 0.0210.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, the parameters are given as follows:
[tex]\mu = 8.6, \sigma = 4.3, n = 39, s = \frac{4.3}{\sqrt{39}} = 0.6885[/tex]
The probability that the sample mean is more than 10 words is one subtracted by the p-value of Z when X = 10, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{10 - 8.6}{0.6885}[/tex]
Z = 2.03.
Z = 2.03 has a p-value of 0.979.
1 - 0.979 = 0.021.
The probability the sample mean is more than 10 words is of 0.0210.
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Please see image its a math problem please help!!!!
Answer:
y = (x + 3)² - 9
Step-by-step explanation:
Parabolic Equation (with vertex) :
y = a(x - h)² + k(h, k) = (-3, -9)y = (x + 3)² - 9please how do i do this?
Answer:
4
Step-by-step explanation:
The figure can be split into 2 triangles, the larger one is the whole figure with base 18 and height 9. while the other small triangle has base 8 and height h. Since they are both right angled triangles with a shared angle, they are similar.
With similar triangles, we get the ratio of base : height = 8 : 8+10 = h : 9
Hence, 8 : 18 can be simplified to 4 : 9, which is also equal to h : 9. From here, we get h = 4.
Answer:
4
Step-by-step explanation:
The figure can be split into 2 triangles, the larger one is the whole figure with base 18 and height 9. while the other small triangle has base 8 and height h. Since they are both right angled triangles with a shared angle, they are similar.
Fatima wants to find the value of sine theta, given cotangent theta = four-sevenths. which identity would be best for fatima to use?
By using trigonometric relations, we will find that:
sin(θ) = (√33)/7 = √(33/49)
How to find the value of the sine?Remember that for a right triangle, we have the relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse).
Here we know that:
cos(θ) = 4/7
Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.
opposite cathetus = √(7^2 - 4^2) = √33
Then we can write:
sin(θ) = (√33)/7 = √(33/49)
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Answer:
The answer is D.
Step-by-step explanation:
Edge 2022
Enlarge the triangle by scale factor -3 with centre (3, 3)
Answer:
... There isnt answer choices...
Answer:
the new points/coordinates would be (3,0) and (3,-3) and (-3,-3)
Step-by-step explanation:
this is because you use column vectors and draw a cross at the centre of enlargement then find out how many spaces you need to go right and up for each of the coordinates. then times that by -3 and use your answers to go left and down from the centre (3,3)
help I don't know what to put on it
Answer:
377.2 cm³
Step-by-step explanation:
Applied Formula :
Volume (cylinder) = πr²h
============================================================
Given :
⇒ r = 3.1 cm
⇒ h = 12.5 cm
=============================================================
Solving :
⇒ V = 3.14 x 3.1 x 3.1 x 12.5
⇒ V = 9.734 x 38.75
⇒ V = 377.2 cm³ (nearest tenth)
Volume
V=πr²h
π(3.1)²(12.5)3.14(3.1)²(12.5)377.2cm³Done!
1.) Prove that PAT is an isosceles triangle.
2.) State The Coordinates of R so that quadrilateral PART is a parallelogram.
( The image of the Question Is Given )
First one to answer with the correct answer gets marked
The triangle PAT is an isosceles triangle because the side lengths PA and AT are congruent
How to prove that the triangle is an isosceles triangle?The points are given as:
P = (1,6)
A = (4,5)
T = (5,2)
Calculate the distance between both points as follows:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]PA = \sqrt{(1 -4)^2 + (6-5)^2}[/tex]
[tex]PA = \sqrt{10}[/tex]
[tex]PT = \sqrt{(1 -5)^2 + (6-2)^2}[/tex]
[tex]PT = \sqrt{32}[/tex]
[tex]AT = \sqrt{(4 -5)^2 + (5-2)^2}[/tex]
[tex]AT = \sqrt{10}[/tex]
Because the side lengths PA and AT are congruent, i.e. √10, then the triangle is an isosceles triangle
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What is area of the figure?
Answer:
88
Step-by-step explanation:
HURRY UP 10 MIN LEFT (100 points)!!!!!!!!!!!
Which of the following words is not a translation for "=?"
equals
similar
is
equal to
Answer:
similar
Step-by-step explanation:
Answer:
Similar
Step-by-step explanation:
For similarity or congruence we use ~ symbol not equal to
Is equal to also denote to =Equals is generally=#80 will give brainliest to the best answer !!
Answer:
x = -2/7
Step-by-step explanation:
The excluded values of the given expression are all the values of x that will make the denominator (7x + 2) = 0. This is because you cannot divide by 0...at least in algebra.
1. 7x + 2 = 0
7x = -2
x = -2/7
Therefore, x = -2/7 is the excluded value.
Answer:
3rd option
Step-by-step explanation:
[tex]\frac{14x}{7x+2}[/tex]
the denominator cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the value that x cannot be.
7x + 2 = 0 ( subtract 2 from both sides )
7x = - 2 ( divide both sides by 7 )
x = - [tex]\frac{2}{7}[/tex] ← excluded value
Which graph has a slope of 1/3?
Answer: the one on the bottom left
Step-by-step explanation:
A train left a station at noon going at 40 mph. A second train left at 3 pm going in thte same direction at 6o mph. At what time iwll the second train catch up with the first
Answer:
9PM
Step-by-step explanation:
3pm - 40x3=120 Miles Travelled (Noon Train)
3pm - 60x0=0 Miles Travelled (3pm Train)
4pm - 40x4=160 Miles Travelled (Noon Train)
4pm - 60x1=60 Miles Travelled (3pm Train)
5pm - 40x5=200 Miles Travelled (Noon Train)
5pm - 60x2=120 Miles Travelled (3pm Train)
6pm - 40x6=240 Miles Travelled (Noon Train)
6pm - 60x3=180 Miles Travelled (3pm Train)
7pm - 40x7= 280 Miles Travelled (Noon Train)
7pm - 60x4=240 Miles Travelled (3pm Train)
8pm - 40x8 = 320 Miles Travelled (Noon Train)
8pm - 60x5=300 Miles Travelled (3pm Train)
9pm - 40x9 = 360 Miles Travelled (Noon Train)
9pm - 60x6= 360 Miles Travelled (3pm Train)
Use the graph to find the cost of 6 show tickets.
Cost of Show Tickets
110
100
90
80
70
60
50
40
30
20
10
0
1 2 3 4 5 6 7 8 9 10 11
Number of tickets
A. The cost of 6 show tickets is $50.
B. The cost of 6 show tickets is $5.
O C. The cost of 6 show tickets is $30.
O D. The cost of 6 show tickets is $6.
Cost ($)
C. The cost of 6 show tickets is $30.
bottom of graph represents number of tickets, look for 6 then go up till you hit the dot now go to the other side of the graph ( costs) and see which number the line hit which is 30
The volume of Earth is approximately 1 x 10^12 cubic kilometers. The volume of Mercury is approximately 6 x 10^10 cubic kilometers. About how many times bigger is Earth’s volume than Mercury’s?
Answer:
Volume of the Earth is about 16.67 times bigger than Mercury's volume.
Step-by-step explanation:
Given:
[tex]V_E = 1 \times 10^{12} \text{ km}^3\\V_M = 6 \times 10^{10} \text{ km}^3[/tex]
[tex]V_E[/tex] is the volume of the Earth and [tex]V_M[/tex] is the volume of the Mercury.
Divide volume of the Earth with the volume of Mercury.
[tex]\frac{V_E}{V_M} = \frac{1 \times 10^{12} \text{ km}^3}{6 \times 10^{10} \text{ km}^3} = \frac{1 \times 10^{2}}{6} = \frac{100}{6} = \frac{50}{3} \approx 16.67[/tex]
Volume of the Earth is about 16.67 times bigger than Mercury's volume.
In a poll of Mr. Briggs’s math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school. Explain why this is not a valid conclusion and suggest a way to gather better data to determine what subject is most popular.
This is not a valid conclusion because the data was not randomly collected from various classes in the school but from a particular class.
Collection of data for a research workThe collection of data for a research work should be done in such a way as to include a good number of the test subjects.
The sampling methods that can be used to gather better data include the following:
Random sampling,Cluster sampling, andSystematic sampling methods.These methods will ensure that a good number of the test subjects are included in the research work in order to form a valid conclusion.
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What is sum of the geometric series?
Answer:
Sn=a1(1−rn)1−r,r≠1 C.
Please help with my math!!!!!
By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.
How to determine the line equation by knowing its slope and a point
According to analytical geometry, we could know the equation of the line by means of the point-slope equation:
y - y₁ = m · (x - x₁) (1)
Where:
x - Independent variabley - Dependent variable(x₁, y₁) - Known pointm - SlopeIf we know that m = -1/3 and (x₁, y₁) = (-3, -3), then the line equation is:
y + 3 = -(1/3) · (x + 3)
y + 3 = -x/3 -1
y = -x/3 - 4
Lastly we proceed to graph the function by a graphing tool (i. e. Desmos).
By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.
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What percentage of the large circle does the small circle take up?
Please please help
Answer:
25 percent.
Step-by-step explanation:
To begin we want to find the area of the small circle. That would be pi(r)^2 or 9pi after plugging in the 3 for the radius. We can only assume that the large circle is double the radius of the smaller circle so it would be 6. Plug 6 in and get 36pi for the area of that circle. 9pi/36pi will equal 0.25 and that will be your percentage. I hope this helped.
Simplify
[tex]\sqrt{25-10\sqrt{3} +3}[/tex]
Answer:
The given equation is expansion of (a-b)²= a²-2ab+b²
[tex]\sqrt{25-10\sqrt{3} +3} \\ \sqrt{ {(5 - \sqrt{3})}^{2} } \\ (5 - \sqrt{3})[/tex]
I swear this always stress me out can someone help me
The approximate perimeter of the given shape is; 33.70cm.
What is the approximate perimeter of the shape?It follows Fromm the task content that the perimeter of the shape can be determined by determining the length of the curved surface and the the other three outer surfaces as follows;
Curves surface = 3.14 × (10/2) = 15.70cmThe perimeter of thee other three sides is; 4 + 4 + 10 = 18cmThe perimeter of the shape is therefore; 18 + 15.70 = 33.70cm.
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The price of a train ticket costs of an initial fee of $5 plus a fee of $2.75 per stop. Julia has $21 and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket
Let S represent the number of stops that Julia buys
Which inequality describes the scenario and What is the largest number of stops that Julia can afford?
Answer:
Julia can afford 5 stops including the initial fee
Step-by-step explanation:
Initial Fee = $5
Rate per stop = $2.75
Amount = $21
$21 - $5 ÷ $2.75 = 5 with remainder
Which of the following is considered a biased estimator?
variance
proportion
median
mean
Answer:
Variance
Step-by-step explanation:
Biased estimators ar ethe values in which the calculated value is less than the estimated values .
For statistics sector this word is used.
Mean and medians are standards and unbiased estimators .
Option A
In between: variance, proportion, median and mean, variance is considered a biased estimator.
What is a biased estimator?An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.
Because they are centered on parameters, the sample percentage (p) and sample mean (x) are both unbiased estimators.
When the population is normal, the sample median is a fair estimate of the population median. It is untrue that the sample median is a fair estimator of the population median for a broad population, nevertheless. When the population is not symmetric, the sample mean is a biased estimator of the population median.
A biased estimate of the population variance is the sample variance.
Therefore, a biased estimator is variance.
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Given the function g(x) = x2 + 10x + 20, determine the average rate of change of
the function over the interval -9 < x < 0.
A function assigns the values. The average rate of change for the given function g(x) is 1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The average rate of change of a function is given by the formula,
Average rate of change, = [f(b)-f(a)]/(b-a), [a,b]
Where a is the lower limit and b is the upper limit.
Given the upper limit for the function is 0, therefore, the value of a is 0, similarly, the value of b is -9. Thus,
a = 0
g(a) = 0²+10(0)+20 = 20
b = -9
g(b) = (-9)²+10(-9)+20 = 11
The average rate of change for the function g(x), can be written as,
[tex]\text{Average rate of change}= \dfrac{g(-9)-g(0)}{-9-0}=\dfrac{11-20}{-9} = 1[/tex]
Hence, the average rate of change for the given function g(x) is 1.
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[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
Direction:Find the volume of each solid figure below.
correct answer=brainles
nice answer=rate 5 star
explanation=heart
incorrect=report
no explanation=report
Explanation:
Volume of rectangular prism: Length * Width * Height
Solve:
1)
Volume: 9 * 9 * 9 = 9³ = 729 cm³
2)
Volume: 7 * 3 * 2 = 42 m³
3)
Volume: 7 * 7 * 7 = 7³ = 343 cm³
come up with a scenario that models an inverse variation situation provide at least four data pairs for the situation
Best examples
Boyles law
P is inversely proportional to VP1V1=P2VCurrent with resistance
I1R1=I2R2Resistance with length of wire
R1l1=R2l2Pressure with area
P1A1=P2A2How much money will you have in 8 years if you invest $4000 at 2% compounded quarterly
Answer:
If you invest $4000 at 2% compounded quarterly you will make 4,694$.
Step-by-step explanation:
Answer:
$4686.64
Step-by-step explanation:
here is the function 4000(1+0.02)^8
PLEASE HURRY!!
Side A B is parallel to Side D E in the map below.
Triangle A B C. Side A B is 15 feet and side B C is 9 feet. Triangle C D E. Side C D is 6 feet and side D E is x feet.
Which proportion solves for the distance between D and E?
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction
Let's apply BPT theorem(Not necessary we can apply common ratios and similarities)
AB/BC=CE/DEPut values
15/9=6/xOption B
Let's solve it out
15x=54x=54)15x=18/5x=3.6I need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.
Answer:
490.1 in^3
Step-by-step explanation:
In order to find the volume of a cylinder, you would multiply the area of the base b the height, so a cylinder with base [tex]26 \pi in^{2}[/tex] and height 6 in would be [tex]26\pi \times 6[/tex]
This multiplies to 490.08845396 when put in a calculator, and rounded to the nearest tenth, the answer is 490.1 in^3
what is the least common denominator in 6/x = 4/x-8 + 1
a) x-8
b) x^2-8
c) 8x
d) x(x-8)
Answer:
d) x(x-8)
Step-by-step explanation:
Both of the denominators in the problem have to be in the common denominator. It needs the x because of the 6/x and it also needs to have x-8 because of the right side of the equation.
Answer:
d x(x - 8).
Step-by-step explanation:
That would be x * (x - 8)
2. The diameter of sphere is 10 cm. Find the volume.
3. Juice is sold in aluminum cans that measure 7 inches in height and 4 inches in diameter. How many cubic inches of juice are contained in a full can?
4. The square pyramid has a volume of
297 cm3. The area of the base is 81 cm2. What is the height?
5. A glass is 10 cm deep and 8 cm wide. How much liquid can the glass hold?
6. A glass pyramid has a height of 6 inches. Its rectangular base has a length of 4 inches and a width of 2.5 inches. Find the volume of the glass.
7. A cylinder made of quartz has a volume of 5.8 cm3. If the radius is 2 cm, find the height.
8. Find the volume of a cone with a diameter of 10 meters and a height of 5.1 meters.
9. What is the volume of a sphere with a diameter of 18 ft?
10. Find the volume of a pyramid with a rectangular base measuring 6 cm by 4 cm and height 11 cm.
answer pls
The volume of the sphere will be V = 1570.79 cubic cm.
What is volume?The Volume of the sphere is the amount of quantity, which is obtained in the 3-dimensional space. A sphere is a circular ball type three dimensional object.
Given that:-
The diameter of the sphere is 10 cmThe volume of the sphere will be calculated as:-
V = 4 π r³
V = 4 x π x ( 5)³
V = 1570.79 cubic cm
Therefore the volume of the sphere will be V = 1570.79 cubic cm.
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