Answer: 1/2 and 2/3
Step-by-step explanation:
what is x +4z-5-3x, when x=2 and z=3x?
Answer:
15
Step-by-step explanation:
x=2,z=6
2+6(4)-5-3(2)
2+24-5-6
26-11
15
x = 2 & z = 3x
Solution : - ⇒x + 4z - 5 - 3x⇒(2) + 4(6) - 5 - 3(2)⇒2 + 24 - 5 - 6⇒26 - 11⇒15A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution : X~Exp (0.2)
Find the quartile 3. Round to the nearest tenth.
Answer:
The quartile 3 is 0.3
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
X~Exp (0.2)
This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]
Find the quartile 3.
The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]
Since
[tex]P(X > x) = e^{-\mu x}[/tex]
[tex]e^{-5x} = 0.25[/tex]
[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]
[tex]-5x = \ln{0.25}[/tex]
[tex]x = -\frac{\ln{0.25}}{5}[/tex]
[tex]x = 0.277[/tex]
Rounding to the nearest tenth, the quartile 3 is 0.3.
Are these equivalent the the expression on the top right
Answer:
No
Yes
No
Yes
(choice 3 is a no)
Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wooden docks and piers, they are now being studied to determine whether the enzyme they secrete will allow us to turn inedible wood and plant waste into biofuel.1 A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72. Give a best estimate for the length of gribbles, a margin of error for this estimate (with 95% confidence), and a 95% confidence interval.
Answer:
The best estimate for the length of gribbles is of 3.1 mm.
The margin of error for this estimate, with 95% confidence, is of 0.2 mm.
The 95% confidence interval is between 2.9 mm and 3.3 mm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
Best estimate for the length of gribbles
The best estimate is the sample mean, that is 3.1 mm.
Margin of error:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{0.72}{\sqrt{50}} = 0.2[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for this estimate, with 95% confidence, is of 0.2 mm.
Confidence interval:
The lower end of the interval is the sample mean subtracted by M. So it is 3.1 mm - 0.2 mm = 2.9 mm
The upper end of the interval is the sample mean added to M. So it is 3.1 mm + 0.2 mm = 3.3 mm
The 95% confidence interval is between 2.9 mm and 3.3 mm.
Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS WILL GIVE BRAINLIST
Answer:
square root of 338 or 18.38
Step-by-step explanation:
since a² and b² are equal, you would do 13² plus 13² then add those and you end up with 338. then you find the square root of 338 which is 18.38477631, or 18.38
I need help it says to use 3.14 PI
Answer:
Step-by-step explanation:
[tex]\text{We have a rectangle of 100 by 50 and half a circle with a radius of 25.}\\ \\ A=100(50)+3.14(25^2)\\ \\ A\approx 6962.5\ m^2[/tex]
Mendel formulated the law of independent assortment as his second law of inheritance. It involvestwo genes independently segregated during reproduction, each independently determining one aspectof the phenotype. In one experiment, Mendel crossed pea plants producing yellow, round seeds withpea plants producing green, wrinkled seeds. The first generation resulted in only plants producingyellow, round seeds. Self-crossing of the F1 yielded the following phenotypes in F2:
Phenotype Yellow Round Yellow Wrinkled Green Round Green wrinkled Counts 315 101 108 32 Assuming two independent genes, each with dominant allele and a recessive allele, we would like to find a 9:3:3:1 phenotype ratio.
a. What are the null and alternative hypotheses for chi-square goodness-of-fit test?
b. What are the expected counts under the null hypothesis?
c. Calculate the value of the chi-square test statistic.
d. Do the data agree with Mendel’s second law of genetic inheritance?
e. Compare your results by chisq.test in R to perform the test?
Step-by-step explanation:
total = 315+101+108+32 = 556
total ratio = 9+3+3+1 = 16
1.
h0 : data follows ratio 9:3:3:1
h1: data does not follow ratio 9:3:3:1
2. expected counts under h0
Ei = expected count, i = 1,2,3,4
count 315
ratio = 9
Ei = 9*556/16
= 312.75
count 101
ratio = 3
Ei = 3*556/16
= 104.25
count 1o8
Ei 3 x 556/16
= 104.25
count 32
= 1*556/16
= 34.75
total = 312.75+104.25+104.25+34.75 = 556
c. value of chi² test stat
a. Oi = 315
Ei = 312.75
X² = (315-312.75)²/312.75
= 0.01618705
b. (101-104.25)²/104.25
x² = 0.101318944
c. (108-104.25)²/104.25
= 0.134892086
d. (32-34.75)²/34.75
= 0.217625859
Chi² test stat = 0.01618705+0.101318944+0.134892086+0.217625859
= 0.470023981
n = 4
df = 4-1 = 3
test stat = 0.4700
critical x² = 7.814736
p value = 0.9254
α < pvalue
0.05<0.9254
we therefore fail to reject the h0. we conclude that it follows 9:3:3:1
d. yes it agrees with this law
please help me
( - 3 ) ( a + x ) , if a + 8, x = - 10
Answer:
6
Step-by-step explanation:
-3 x (8 + [-10]) =
-3 x (8 - 10) =
-3 x -2 =
6
HOpe that helps!
Answer: 6
Step-by-step explanation:
finding the answer from an equation
replace the values of x and a in the equation:
(-3) * ( 8 + -10)
= (-3) * (-2)
recall :
(-) * (-) = +
hence -3 * -2
= 6
Hope this helps. Can u pls give me brainliest
Find the volume.
# 1
Answer:
50 m
Step-by-step explanation:
Formula:
V = lwh
V = (5)(4)(5/2)
V = 20 (5/2)
V = 50
A trail is 2 miles long. There is a marker every 1/8 mile. How many markers are there?
Answer:
16
Step-by-step explanation:
Number of Markers =
[tex]2 \div \frac{1}{8} \\ = 2 \times 8 \\ = 16[/tex]
write the equation of the given line in slope intercept form (2,3) (8,6)
Answer:
y = 1/2x + 2
Step-by-step explanation:
slope:
6 - 3 / 8 - 2 = 3 / 6 = 1/2
start by putting it in point slope form and then simplify it to slope intercept form:
y - 3 = 1/2(x - 2)
y - 3 = 1/2x - 1
y = 1/2x + 2
Factor the polynomial completely.
4x3 – 12x2 + 7x – 21
4x2(x – 3) + 7(x – 3)
Which is the completely factored polynomial?
4x2(x + 4)
3x2(x – 3)
(4x2 – 7)(x + 3)
(4x2 + 7)(x – 3)
Answer:
2x(2x2 -6x) + (7x - 21)
Step-by-step explanation:
4x3 - 12x2 + 7x -21
Which expression represents the number 142000 in Scientific Notation ?
Answer: 1.42 x 10^5
Step-by-step explanation:
Scientific Notation usually express in the form of [tex]c* 10x^{n}[/tex], where c is between 1 and 9.
142000
= 1.42 x 10^5
Can someone help me plzzzz with this math question!!!!!! “Buy one, get one free” special at T-Mobile for an iPhone 12. The cost is $1150. Calculate what you are actually paying for each item since you are getting two for one price. What is the sale price of each phone?
Answer:
$575
Step-by-step explanation
1150/2 = 575
Answer:
$1150
Step-by-step explanation:
because it is a buy one (for sale price), get one free
Divide (x2 + 8x + 1) ÷ (x – 4) using synthetic division.
Answer:
I'm sorry i cant help you rn, download symbolab or math solver, I'm sure you will find your answer g
The variable y varies directly as x. When x = 20, y = 12. What is the value of y when x = 15?
A. 7
B. 9
C. 18
D. 25
The value of y when x = 15 is 9
VariationIf the variable y varies directly as x, this is expressed as;
y = kx
where k is the constant of proportionality
If x = 20 when y = 12, then;
k = y/x
k = 12/20
If x = 15, then the value of y is;
y = 12/20*15
y = 9
Hence the value of y when x = 15 is 9
Learn more on variation here: https://brainly.com/question/6499629
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I need the scale factor of this please, its due today:)
Answer: The scale factor is 3:1 because if you look at the T Point to T', it has a space of 3. Pardon for any mistakes. Good Luck!
Step-by-step explanation:
Find the mean, median, mode, and range of the following data set.
15, 12, 19, 15, 16, 13, 15.
Mean:
Median:
Mode:
Range:
12 13 15 15 15 16 19
mean: 15
median: 15
mode: 15
range: 7
Answer:
12, 13, 15, 15, 15, 16, 19
Step-by-step explanation:
Mean: 15
Median: 15
Mode: 15
Range: 7
Help plssss hhbbbbbbbbbhnjjjjjjjjjbhddccgbbbhh
Answer:
It's a, 2^x + 3
Step-by-step explanation:
If you look at the y-intercept, you can see that there was a vertical shift upwards by 3 (y intercept moved from y = 1 to y = 4).
If you're studying for the SAT, it'll be good to study the transformation rules, including horizontal stretches/shifts. They always seem to throw one or two questions about those on there.
The Environmental Protection Agency (EPA) uses a measure called the Pollutant Standards Index (PSI) to measure air quality in a city. A PSI reading over 100 indicates a day when the air quality is considered unhealthy. The measurements represent the number of days in 1995 that the PSI was over 100 for metropolitan areas in the U.S. Midwest. Summary statistics are provided.
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14
Required:
Draw the boxplot for this data we found no extreme outliers.
Answer:
Please find attached the Box Plot Created with Microsoft Excel
The outliers are 11, and 14
Step-by-step explanation:
The given data is presented as follows;
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14
From the data, we have;
The first quartile, Q₁ = 1
The second quartile, (The median) Q₂ = 2.5
The third quartile, Q₃ = 4.75
Therefore, the interquartile range, IQR = Q₃ - Q₁ = 4.75 - 1 = 3.75
Therefore, the values above Q₃ + 1.5 × IQR are outliers
Q₃ + 1.5 × IQR = 4.75 + 1.5 × 3.75 = 10.375
Therefore, 11, and 14 are outliers
The boxplot created with Microsoft Excel is attached
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches.
Answer:
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches
Step-by-step explanation:
pls complete your question
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches
The area of triangle is 29.081 inch²
What is area of triangle?Heron's formula was first given by Heron of Alexandria. It is used to find the area of different types of triangles like equilateral, isosceles, and scalene triangles or quadrilaterals. We can use heron's formula to find the area of triangles when the sides of the triangle are given. We use the semi-perimeter of the triangle and the side lengths to find the area of the triangle using heron's formula.
Area of triangle ABC = √s(s-a)(s-b)(s-c),
where s = Perimeter/2 = (a + b + c)/2
Given:
<B= 56, a= 10 inch, b= 6 inch
Now,
b²= 10² +7² -2* 7* 10* cos 56
b² = 100+ 49 -78.187
b²= 70.712
b= 8.41 inch
Now, semi- perimeter= (10+ 8.41+ 7)/2
= 12.705
Using heron's formula
=√s(s-a)(s-b)(s-c)
=√12.705(12.705-10)(12.705-8.41)(12.705-7)
=√842.094
=29.018 inch²
Learn more about heron's formula here:
https://brainly.com/question/15188806
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The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 1.00 millimeters. Enter your answer in accordance to the item a) of the question statement (b) What thickness is exceeded by 90% of the flanges
Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that [tex]a = 0.95, b = 1.05[/tex]
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.
[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]
0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:
[tex]P(X > x) = 0.9[/tex]
So
[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]
[tex]1.05 - x = 0.9*0.1[/tex]
[tex]x = 1.05 - 0.9*0.1[/tex]
[tex]x = 0.96[/tex]
A thickness of 0.96 millimeters is exceeded by 90% of the flanges
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
bir bidonun 2/7 si dolu iken içinde 4 litre su bulunuyor bidon kaç litre su alır
Answer:
The canister hold water = 14 litres
Step-by-step explanation:
Given - While 2/7 of a canister is full, it has 4 litre water in it.
To find - How many litres of water does the canister hold?
Proof -
Given that,
When is canister is [tex]\frac{2}{7}[/tex] full , Total water = 4 litre
⇒If the canister is full , Total water = 4×[tex]\frac{7}{2}[/tex] litre
= 2 × 7 = 14 litres
⇒The canister hold water = 14 litres
Consider this right triangle.
o
13
M
N
12
Select the ratio equivalent to tan(O).
Answer:
5/13
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
work out 4/5 - 1/5
work out 9/11 +5/11
work out 3/4 + 1/8
Answer:
4/5-1/5=6.0
9/11+5/11=1.27
3/4+1/8=0.875
Math Which expressions represent 9 divided by the sum of 1 and 2? Check all that are true. 09/(1+2) 9+1+2 I (9 - 1) + 2 (1 + 2) = 9 09+ (1 + 2)
Answer: 9/(1+2)
Hope it helps :)
. On a playground, there are 25
children, either riding on seesaws,
two per seesaw, or swinging on tire
swings, three per swing. If the total
number of seesaws and swings
combined is 9, what is the maximum
number of tire swings on the
playground?
A. 1
B. 2
C. 7
D. 8
Can someone help me out with this problem
Answer:
Step-by-step explanation:
One angle of an isosceles triangle measures 76º. Which other angles could be in that
isosceles triangle? Choose all that apply.
Answer:
52 or 28
Step-by-step explanation:
An isosceles has 2 congruent angles.
There are 2 possibilities:
A) There are two 76-deg angles and one angle of a different measure.
76 + 76 + x = 180
x = 28
B) There are two congruent angles, and 76 is the non-congruent angle.
x + x + 76 = 180
2x = 104
x = 52
Answer: 52 or 28