Answer:
[tex]\frac{x^2}{36} + \frac{y^2}{100} = 1[/tex]
Step-by-step explanation:
Required
The equation of the ellipse
This is calculated as:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
Where:
[tex]b =6[/tex] ---- height
[tex]a = 0.5 * 20 =10[/tex] --- width
So:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
[tex]\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1[/tex]
[tex]\frac{x^2}{36} + \frac{y^2}{100} = 1[/tex]
The average age of 6 men is 35 years and
the average age of four of them is 32 years.
Find the ages of the remaining two men if
one is 3 years older than the other.
Answer:
39.50
42.50
Step-by-step explanation:
Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men
Average = sum of ages / total number of men
35 = sum of ages / 6
sum of ages = 35 x6 = 210
32 = sum of ages / 4
32 x 4 = sum of ages
128
210 - 128 = 82
age of the younger man = x
age of the older man = 3 + x
x + 3 + x = 82
2x + 3 = 82
2x = 82 - 3
2x = 79
x = 79/2 = 39.5
older man = 39.5 + 3 = 42.50
Match the following research designs to the appropriate inferential statistic Group of answer choices Predictor: categorical with 4 levels; Outcome: categorical with 2 levels [ Choose ] Predictor: categorical with 2 levels; Outcome: continuous [ Choose ] Predictor: continuous; Outcome: continuous [ Choose ] Predictor: categorical with 4 levels; Outcome: continuous
Answer:
Chisquare test
t - test
Correlation
ANOVA, F ratio.
Step-by-step explanation:
The Chisquare test is suitable for testing categorical variables with factors levels more than 3.
The t test of independence is suitable for testing continous variable, however re we use the two independent sample t test.
Correlation test is used to examine the relationship between two continous variable, cannot be used for categorical variables.
Analysis of Variance is use to test categorical variables with at lead three factor levels. The F ratio allows measurement and establishing of statistical significance exists between variables.
if the height of two similar prisms have a ratio of 7:21 then the ratio of the area is.....
Answer:
1:3
Step-by-step explanation:
7:21
1:3
so , 7:21 is 1:3.
At six flags Great Adventure, the fastest rollercoaster is KingDaKa, which is 50 seconds long. In Canada's Wonderland, the rollercoaster Leviathan is 3 minutes and 20 seconds long. The duration of KingDaKa is what percent of the duration of the Leviathan?
Answer:
1 min and 20 seconds
Step-by-step explanation:
help jehejeieoeieoeoe
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{-6 + k}[/tex]
[tex]\large\textsf{If k = 18, then substitute it into the equation where k is at}[/tex]
[tex]\large\textsf{-6 + 18}[/tex]
[tex]= \boxed{\large\textsf{\bf 12}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 12 }}}\huge\checkmark[/tex]
[tex]\large\textsf{Guide}\downarrow[/tex]
[tex]\large\textsf{Negative \& negative = \boxed{\bf positive}}[/tex]
[tex]\large\textsf{Negative \& positive = \boxed{\bf negative}}[/tex]
[tex]\large\textsf{Positive \& positive = \boxed{\bf positive}}[/tex]
[tex]\large\textsf{Positive \& negative = \boxed{\bf negative}}[/tex]
[tex]\large\textsf{SOME values results in the bigger number}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What line describes the line parallel to y= -1/3x+5 ?
Answer:
C. y = -1/3 + 1
Step-by-step explanation:
Parallel equations have the same slope.
2. Simplify (2/3)^3 .
Answer:
8/27.
Step-by-step explanation:
Given expression: [tex](2/3)^3[/tex]
To correctly simplify this expression, you must first understand the role of exponents and base numbers.
The base number is the number being multiplied.
The exponent tells the base number how many times it should be multiplied by itself.
In this case, 2/3 is the base number and 3 is the exponent.
Exponential notations will always be written like this: [tex]x^n[/tex]
[tex]x-base[/tex]
[tex]n-exponent[/tex]
Now that we know the roles of the exponent and base number, we can correctly simplify this expression.
[tex](2/3)^3[/tex]
[tex]=2/3*2/3*2/3[/tex]
[tex]=8/27[/tex]
[tex]\to \ (2/3)^3=8/27[/tex]
Therefore, the value of [tex](2/3)^3[/tex] is 8/27.
Find the common difference of the arithmetic sequence -14, -5, 4, ...
Find the weighted mean
Answer:
10.1
Step-by-step explanation:
weighted mean = sum of the multiplication of frequency and value /sum of frequency
sum of frequency = 5 + 5 + 5 + 21 = 36
sum of the multiplication of frequency and value = (16 x 5) + (20 x 5) + (16 x 5) + ( 5 x 21) = 365
365/36 = 10.1
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Need help finding the value of “X”
help would be very appreciated
Answer: 1.5m/s
Step-by-step explanation:
Answer:
1.5m/s
Step-by-step explanation:
distance/time= 6 meters/4 secs=1.5meters per sec
What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!
Answer:
4
Step-by-step explanation:
2×2=4
6÷2=3
1×2=2
8÷2=4
3×2=6
?÷2=2
2×2=4
Answer:
4
Step-by-step explanation:
2×2=4
6÷2=3
1×2=2
8÷2=4
3×2=6
?÷2=2
answer:
?=2×2
=4
A hotel installs dual-flush toilets to help conserve water. The new toilets use 1.6 gallons for one full flush and 0.9 gallons for one partial flush. Measurements show that in the first week there were 1,190 full flushes and 3,150 partial flushes. How many gallons of water were saved for the week compared to a week in which all the flushes were full flushes?
The sound level of a jet plane is approximately 140 dB. The intensity of the sound of a jet plane is approximately
.
Answer:
280 DB
Step-by-step explanation:
If the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB
What is sound level?Sound level is the intensity to measure the sound. Decibels are used to quantify sound levels.
The sound level of a jet plane is expressed according to the expression given:
β = 10log(I/I0)
Given the following parameters
β = 140dB
I0 = 10^-12 W/m²
For required Intensity "I" Substitute:-
140 =10log(I/10^-12)
14 = log(I/10^-12)
10^14 = I/10^-12
I = 10^14 * 10^-12
I = 10^2
I = 100dB
Hence if the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB
learn more intensity of sound here:
brainly.com/question/9367064
#SPJ2
Find the sum of 6/7 + [-1/7] as a integer or fraction.
Answer:
5/7
Step-by-step explanation:
6/7 + [-1/7]
Since the denominators are the same, add the numerators
6+-1 = 5
Put this over the common denominator
5/7
Not sure how I can solve this problem or where to start. Please Help!
The triangle on the left side has two legs of length 4 m and 6 m. It's a right triangle, so the hypotenuse has length √((4 m)² + (6 m)²) = 2√13 m. Only the 4 m leg and the hypotenuse count towards the shape's overall perimeter.
The rectangular part contributes 9 m from the top side and 9 m from the bottom one, thus a total of 18 m.
The half-circle has diameter 6 m (indicated by the dashed line, same as the height of the triangle on the left). A full circle with diameter d has circumference πd ; a half-circle with the same diameter would then contirubte πd/2, or in this case, 3π m.
So, the total perimeter of the shape is
(4 m + 2√13 m) + 18 m + 3π m ≈ 38.6 m
Given that 2x – 9y = 11
Find y when x = 7
=
Give your answer as a fraction in its simplest form.
PLEASE HELP IM DESPERATE
Answer:
y = 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
2x - 9y = 11
x = 7
Step 2: Evaluate
Substitute in x: 2(7) - 9y = 11Multiply: 14 - 9y = 11[Subtraction Property of Equality] Subtract 14 on both sides: -9y = -3[Division Property of Equality] Divide -9 on both sides: y = 1/3200 reduced by twice my age is 20 years of age
Answer:
90 years
Step-by-step explanation:
Equation =
200 - 2x = 20
2x = 200 - 20
2x = 180
x = 180 / 2
x = 90
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which ratio is less than 15/24? Help!!! (´༎ຶོρ༎ຶོ`)
Answer:
1/2
Step-by-step explanation:
You can try converting 1/2 to another fraction with the same denominator as 15/24. This fraction is 12/24. As you can see, 12/24 is less than 15/24.
Answer:
option A
Step-by-step explanation:
To find ratio less than the given ratio we will convert the denominator of each fraction to 24 and then compare
Given ratio is : [tex]\frac{15}{24}[/tex]
Given options
[tex]\frac{1}{2} = \frac{1 \times 12 }{2 \times12} = \frac{12}{24}[/tex]
[tex]\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}[/tex]
[tex]\frac{19}{24}[/tex]
[tex]\frac{6}{8} = \frac{6 \times 3}{8 \times 3} =\frac{18}{24}[/tex]
Now arrange in the ascending order , just check the numerator values.
[tex]\frac{12}{24} < \frac{15}{24} < \frac{18}{24} < \frac{19}{24} < \frac{21}{24}[/tex]
Therefore
: [tex]\frac{12}{24} = \frac{1}{2}\ is \ the\ ratio\ less\ than\ \frac{15}{24}[/tex]
Time
1 point
2
You scored the following grades on your first three math tests: 71.78, 81. You only have one test remaining. What is the highest possible test average
you can get?
Answer:
82.5.
Step-by-step explanation:
That would be the average if you scored 100 on your last test.
This is (71+78+81+100)/ 4
= 82.5
Lines a, b, c, and d intersect as shown. What is z
Answer:
Step-by-step explanation:
What should be subtracted from the product of
3/7 and 2/5 to get -4/35?
[tex]\implies {\pink {\boxed {\boxed {\purple {\sf { \: x = \frac{2}{7}}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Let [tex]x[/tex] be the unknown number.
As per the question, we have
[tex] \: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35} [/tex]
➺[tex] \: \frac{6}{35} - x = \frac{ - 4}{35} [/tex]
➺[tex] \: - x = \frac{ - 4}{35} - \frac{6}{35} [/tex]
➺[tex] \: - x = \frac{ - 4 - 6}{35} [/tex]
➺[tex] \: - x = \frac{ - 10}{35} [/tex]
➺[tex] \: x = \frac{2}{7} [/tex]
Therefore, [tex] \frac{2}{7} [/tex] should be subtracted from the product of [tex] \frac{3}{7} [/tex] and [tex] \frac{2}{5} [/tex] to get [tex]\frac{ - 4}{35} [/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify}}{\orange{:}}}}}[/tex]
[tex] \: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35} [/tex]
➼[tex] \: ( \frac{6}{35} ) - \frac{2}{7} = \frac{ - 4}{35} [/tex]
➼[tex] \: \frac{6}{35} - \frac{2 \times 5}{7 \times 5} = \frac{ - 4}{35} [/tex]
➼[tex] \: \frac{6 - 10}{35} = \frac{ - 4}{35} [/tex]
➼[tex] \: \frac{ - 4}{35} = \frac{ - 4}{35} [/tex]
➼[tex] \: L.H.S.=R. H. S[/tex]
[tex]\sf\purple{Hence\:verified. }[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}[/tex]
The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM. If 188 sixth graders are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM
Answer:
0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM.
This means that [tex]\mu = 84, \sigma = 15[/tex]
Sample of 188
This means that [tex]n = 188, s = \frac{15}{\sqrt{188}}[/tex]
What is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM?
Greater than 84 + 1.46 = 85.46 or less than 84 - 1.46 = 82.54. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.
Probability is is less than 82.54.
P-value of Z when X = 82.54. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{82.54 - 84}{\frac{15}{\sqrt{188}}}[/tex]
[tex]Z = -1.33[/tex]
[tex]Z = -1.33[/tex] has a p-value of 0.0918
2*0.0918 = 0.1836
0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM
I don’t know how to figure out how many roots is has
Answer:
1) 3 roots
2) 2 roots
3) 4 roots
Answer:
first one has 3 roots
second one has 2 roots
third one has zero roots
Four decreased by the product of a number and 7 is equal to 11
Answer:
See image below:)
Step-by-step explanation:
Answer:
[tex]y=2\frac{1}{7}[/tex]
Step-by-step explanation:
(y · 7) - 4 = 11
7y - 4 = 11
7y - 4 + 4 = 11 + 4
7y = 15
7y ÷ 7 = 15 ÷ 7
[tex]y=2\frac{1}{7}[/tex]
Answer the following.
What is the perimeter of the shape shown on the
right?
Use u = 3.14 and round your answer to 1 decimal
place
1 cm
Answer:
13.1 cm
Step-by-step explanation:
5+5=10
1/2x2π1=3.14
10+3.14=13.14
What should be done to solve the following equation x-9=13
Answer and Step-by-step explanation:
To find x, we need to add 9 to both sides of the equation.
x = 22 <-- This is the answer.
#teamtrees #PAW (Plant And Water)
Answer:
X=22
Step-by-step explanation:
X-9=13
X=13+9
X=22
Sam scored an 82% on her test. She answered 27 questions correctly. How many questions were on the test? Round to the nearest whole number
Answer:
33
Step-by-step explanation:
82%-27
1%-0.3292
100%-33(nearest whole number)
The question is shown clearly in the photo below. Please explain step by step.
Answer:
pls can u tell which grade are you
Answer:
J
Step-by-step explanation:
x+1/x3-x=x+1/x2
=1/x
1/x2-x=1/x
PLEASE HELP !!!!! ASAP PLEASE !!!! IM BEGGING LOL !!!!
Step-by-step explanation:
Hey there!
From the given figure;
Angle ABE = 90°.
And angle ABC= [(3x+7)° + (5x+11)°].
Now, Angle ABE + Angle ABC= 180° [Being linear pair].
or, 90° + (3x+7)° + (5x+11)°= 180°
or, (3x+7)° + (5x+11)°= 90°
or, 8x + 18° =90°
or, 8x = 90°-18°
or, X = 9°
Therefore, X= 9°.
Now,
Angle DBC = (5*9+11)°
= 56°
Therefore, the measure of angle DBC is 56°.
Hope it helps!
[tex]\huge\bold{To\:find:}[/tex]
✎ The measure of ∠ DBC.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:measure\:of\:∠DBC\:is\:56°. }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Since it is right-angle,
[tex]Sum \: of \: angles \: = 90° \\ ⇢ (3x + 7)° + (5x + 11) ° = 90° \\ ⇢3x° + 7° + 5x° + 11° = 90° \\combining \: the \: like \: terms, \: we \: have \\ ⇢3x° + 5x° + 7° + 11° = 90° \\ ⇢8x° = 90° - 18° \\ ⇢8x° = 72° \\ ⇢x° = \frac{72°}{8} \\ ⇢x° = 9°[/tex]
Substituting the value of [tex]x°[/tex] in ∠ DBC, we have
[tex](5x + 11) °\\ = 5 \times 9° + 11 °\\ = 45° + 11° \\ = 56°[/tex]
[tex]\sf\blue{Therefore,\:the\:measure\:of\:∠DBC\:is\:56°.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex](3x + 7) ° + (5x + 11)° = 90° \\ \: ➡ \: (3 \times 9 + 7)° + (5 \times 9 + 11)° = 90° \\ ➡ \: 34° + 56° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]