Answer:
18 1/5
Step-by-step explanation:
Hey there!
Well to multiply them let's make them improper.
13/3 * 21/5
13*21 = 273
3*5 = 15
273/15
Simplified
18 1/5
Hope this helps :)
Answer:
[tex]\huge\boxed{4\dfrac{1}{3}\times4\dfrac{1}{5}=18\dfrac{1}{5}}[/tex]
Step-by-step explanation:
[tex]4\dfrac{1}{3}\times4\dfrac{1}{5}\\\\\bold{STEP\ 1}\\\text{convert the mixed numbers to the improper fractions}\\\\4\dfrac{1}{3}=\dfrac{4\times3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\4\dfrac{1}{5}=\dfrac{4\times5+1}{5}=\dfrac{20+1}{5}=\dfrac{21}{5}\\\\\bold{STEP\ 2}\\\text{simplify fractions}\\\\4\dfrac{1}{3}\times4\dfrac{1}{5}=\dfrac{13}{3}\times\dfrac{21}{5}=\dfrac{13}{1}\times\dfrac{7}{5}\\\\\bold{STEP\ 3}\\\text{multiply numerators and denominators}\\\\=\dfrac{13\times7}{1\times5}=\dfrac{91}{5}[/tex]
[tex]\bold{STEP 4}\\\text{convert the improper fraction to the mixed number}\\\\=\dfrac{91}{5}=\dfrac{90+1}{5}=\dfrac{90}{5}+\dfrac{1}{5}=18\dfrac{1}{5}[/tex]
3 is what percentage of 12?
Answer:
25%
Step-by-step explanation:
First you have the fraction of 3/12 and need to turn it into a decimal. So to do that you divide 3 by 12 = 0.25. So your percent is 25%
For the claim that is given symbolically below, determine whether it is part of a left-tailed, right-tailed, or two-tailed hypothesis test.
p > 0.50
a. a right-tailed hypothesis test
b. a two-tailed hypothesis test
c. impossible to determine from the information given
d. a left-tailed hypothesis test
Answer:
Option A a right tailed hypothesis test
Step-by-step explanation:
A claim given symbolically is most of the time derived from the alternative hypothesis usually tested against the null hypothesis.
A symbolic claim with the option of a less than indicates a left tailed test, while one with the option of greatest than indicate a right tail test and one with the option of both (not equal to; either less or greater) indicates a two tailed test.
In this case study, the sample proportion for the claim was greater than 0.50 thus, the test is a right tailed hypothesis test
greater than (−3) but less than or equal to 3
Answer:
-2,-1,0,1,2,3
You just have to choose the numbers in between -3 to 3
Hope it helped ;)
Simplify the expression.(4+2i)-(1-i)
ANSWER :
6i - (1-i)
Step - by - step explanation:
( 4 + 2i ) - ( 1 - i )
( 4 + 2 × i) - ( 1 - i )
( 6× i ) - ( 1 - i )
= 6i- (1-i)
Hope this helps and pls mark as brainliest :)
What is the measure of <A in the triangle below?
Answer:
62
Step-by-step explanation:
180-116 makes us find out that angle C is 64, thus to find out the inner angles you gotta do 64+ (2x+4)+(3x-13)=180
You follow this operation, find out x and perform 3(25)-13, which ends up giving you 62
Answer:
62°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is not sharing a common side
2x + 4 + 3x - 13 = 116° add like terms
5x - 9 = 116°
5x = 125° divide both sides by 5
x = 25 and angle A is 3x - 13 so 3×25 - 13 = 62°
let x = the amoun of raw sugar in tons a procesing plant is a sugar refinery process in one day . suppose x can be model as exponetial distribution with mean of 4 ton per day . The amount of raw sugar (x) has
Answer:
The answer is below
Step-by-step explanation:
A sugar refinery has three processing plants, all receiving raw sugar in bulk. The amount of raw sugar (in tons) that one plant can process in one day can be modelled using an exponential distribution with mean of 4 tons for each of three plants. If each plant operates independently,a.Find the probability that any given plant processes more than 5 tons of raw sugar on a given day.b.Find the probability that exactly two of the three plants process more than 5 tons of raw sugar on a given day.c.How much raw sugar should be stocked for the plant each day so that the chance of running out of the raw sugar is only 0.05?
Answer: The mean (μ) of the plants is 4 tons. The probability density function of an exponential distribution is given by:
[tex]f(x)=\lambda e^{-\lambda x}\\But\ \lambda= 1/\mu=1/4 = 0.25\\Therefore:\\f(x)=0.25e^{-0.25x}\\[/tex]
a) P(x > 5) = [tex]\int\limits^\infty_5 {f(x)} \, dx =\int\limits^\infty_5 {0.25e^{-0.25x}} \, dx =-e^{-0.25x}|^\infty_5=e^{-1.25}=0.2865[/tex]
b) Probability that exactly two of the three plants process more than 5 tons of raw sugar on a given day can be solved when considered as a binomial.
That is P(2 of the three plant use more than five tons) = C(3,2) × [P(x > 5)]² × (1-P(x > 5)) = 3(0.2865²)(1-0.2865) = 0.1757
c) Let b be the amount of raw sugar should be stocked for the plant each day.
P(x > a) = [tex]\int\limits^\infty_a {f(x)} \, dx =\int\limits^\infty_a {0.25e^{-0.25x}} \, dx =-e^{-0.25x}|^\infty_a=e^{-0.25a}[/tex]
But P(x > a) = 0.05
Therefore:
[tex]e^{-0.25a}=0.05\\ln[e^{-0.25a}]=ln(0.05)\\-0.25a=-2.9957\\a=11.98[/tex]
a ≅ 12
Could someone answer the question with the photo linked below? Then explain how to solve it?
Answer:
b = sqrt(57)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + b^2 = 11^2
64+ b^2 = 121
Subtract 64
b^2 = 121-64
b^2 =57
Take the square root of each side
b = sqrt(57)
1/3(6x+12) -2(x-7) = 19 plz help
Answer:
6/3x= 2x
12/3=4
-2x
14
2x +4 -2x +14= 18
Answer:
No solution for x
Step-by-step explanation:
1/3(6x + 12) - 2 (x - 7) = 191/3×6x + 1/3×12 - 2x +14 =192x + 4 - 2x = 19 -144 = 5,it is Impossible so x= ∅, no solution for x
Which is the graph of f(x) = 3/7?
Answer:
Rewrite the function as an equation. y= 3/7 Use the slope-intercept form to find the slope and y-intercept. Slope: 0 Y-intercept: 3/7 Hope this can help
Step-by-step explanation:
Alex started a new social media account,which he used to post pictures of cute animals. On the first day he only had 8 followers.a However his account became popular very quickly and the numbers of the followers tripled everyday. Identify how many followers he had in the 5th day.
Answer:
648 followers
Step-by-step explanation:
Let first day=a1
Tripled followers everyday
Second day=a2=a1×3
Third day=a3=a2*3
Fourth day=a4=a3*3
Fifth day=a5=a4*3
a=8 followers
a2=a1×3
=3*8
=24 followers
a3=a2*3
=24*3
=72 followers
a4=a3*3
=72*3
=216 followers
a5=a4*3
=216*3
=648 followers
On the fifth day, Alex will have a total of 648 followers on his new social media account.
Answer:
624
Step-by-step explanation:
648 i used a calculator
what is the value of A when we rewrite 4^31x as A^x
Answer:
.
Step-by-step explanation:
The value of A is A = 4³¹
What are Exponents?Exponents are the base raised by power, it is written in the superscript of a number.
The expression is
[tex]\rm 4^{31x}\\[/tex]
To write in form Aˣ
A will be obtained by comparing the expressions
Aˣ = [tex]\rm 4^{31x}\\[/tex]
A = 4³¹
Therefore, the value of A is A = 4³¹.
To know more about Exponents
https://brainly.com/question/5497425
#SPJ2
Please help. I’ll mark you as brainliest if correct!
Answer:
y=10000 at rate 0.12 or 12%
x=8500 at rate 0.14 0r 14 %
Step-by-step explanation:
x+y=18500 ⇒ x=18500-y
0.14x+0.12y=2390 ( solve by substitution)
0.14(18500-y)+0.12y=2390
2590-0.14y+0.12y=2390
-0.02y=2390-2590
-0.02y=-200
y=-200/0.02
y=10000 at rate 0.12
x=18500-y
x=18500-10000=8500
x=8500 at rate 0.14
check : 0.14(8500)+0.12(10000)=2390 ( correct)
Answer:
Amount invested at 14% = 8500
Amount invested at 12% = 10000
Step-by-step explanation:
Assume money was invested for one year.
18500 at 14% = 18500*0.14 = 2590
18500 at 12% = 18500*0.12 = 2220
actual interest earned = 2390
Let
x = ratio of money invested at 14%
1-x = ratio of money invested at 12%
Then
18500*x * 0.14 + 18500 * (1-x)*0.12 = 2390
0.14x - 0.12x = 2390/18500-0.12
0.02x = 0.1291892-0.12 = 0.0091892
x = 0.0091892/0.02 = 0.4594595
Amount invested in 14% = 18500 * x = 8500
Amount invested in 12% = 18500 * (1-x) = 10000
I have 25% off coupon that I would like to apply to this purchase.” Since the sticker price is $93.78,the actual cost to you will be what after discount applied”.
Answer:
$70.33
Step-by-step explanation:
sticker price = $93.78
discount coupon in percentage = 25%
Thus, discount will be 25% of sticker price
discount amount = 25% of $93.78 = 25/100 * $93.78 = $23.45
Thus, amount paid = sticker price - discount amount = $93.78-$23.45
amount paid = $70.33
actual cost to you will be what after discount applied is $70.33
g The average salary in this city is $45,600. Is the average different for single people? 53 randomly selected single people who were surveyed had an average salary of $46,356 and a standard deviation of $15,930. What can be concluded at the α α = 0.05 level of significance?
Answer:
Step-by-step explanation:
The average salary in this city is $45,600.
Using the formula
z score = x - u /(sd/√n)
Where x is 46,356, u is 45,600 sd is 15,930 and n is 53.
z = 46,356 - 45600 / (15930/√53)
z = 756/(15930/7.2801)
z = 756/(2188.1568)
z = 0.3455
To draw a conclusion, we have to determine the p value, at 0.05 level of significance for a two tailed test, the p value is 0.7297. The p value is higher than the significance level, thus we will fail to reject the null and can conclude that there is not enough statistical evidence to prove that the average is any different for single people.
Heights of women (in inches) are approximately N(64.5,2.5) distributed. Compute the probability that the average height of 25 randomly selected women will be bigger than 66 inches.
Answer:
the probability that the average height of 25 randomly selected women will be bigger than 66 inches is 0.0013
Step-by-step explanation:
From the summary of the given statistical dataset
The mean and standard deviation for the sampling distribution of sample mean of 25 randomly selected women can be calculated as follows:
[tex]\mu_{\overline x} = \mu _x[/tex] = 64.5
[tex]\sigma_{\overline x }= \dfrac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_{\overline x }= \dfrac{2.5}{\sqrt {25}}[/tex]
[tex]\sigma_{\overline x }= \dfrac{2.5}{5}[/tex]
[tex]\sigma_{\overline x }[/tex] = 0.5
Thus X [tex]\sim[/tex] N (64.5,0.5)
Therefore, the probability that the average height of 25 randomly selected women will be bigger than 66 inches is:
[tex]P(\overline X > 66) = P ( \dfrac{\overline X - \mu_\overline x}{\sigma \overline x }>\dfrac{66 - 64.5}{0.5} })[/tex]
[tex]P(\overline X > 66) = P ( Z>\dfrac{66 - 64.5}{0.5} })[/tex]
[tex]P(\overline X > 66) = P ( Z>\dfrac{1.5}{0.5} })[/tex]
[tex]P(\overline X > 66) = P ( Z>3 })[/tex]
[tex]P(\overline X > 66) = 1- P ( Z<3 })[/tex]
[tex]P(\overline X > 66) = 1- 0.9987[/tex]
[tex]P(\overline X > 66) =0.0013[/tex]
the probability that the average height of 25 randomly selected women will be bigger than 66 inches is 0.0013
A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Does hypnotism appear to be effective in reducing pain? (Table attached) In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the difference in the measurements on a pain scale before and after hypnosis. What is the test statistic for this hypothesis test?
Answer:
Step-by-step explanation:
Corresponding measurements on a pain scale before and after hypnosis form matched pairs.
The data for the test are the differences between the measurements on a pain scale before and after hypnosis.
μd = the measurements on a pain scale before hypnosis minus the measurements on a pain scale after hypnosis
Before after diff
6.3 6.5 - 0.2
4 2.5 1.5
9.2 7.7 1.5
9.3 8.4 0.9
11.3 8.6 2.7
Sample mean, xd
= (- 0.2 + 1.5 + 1.5 + 0.9 + 2.7)/5 = 1.28
xd = 1.28
Standard deviation = √(summation(x - mean)²/n
n = 5
Summation(x - mean)² = (- 0.2 - 1.28)^2 + (1.5 - 1.28)^2 + (1.5 - 1.28)^2 + (0.9 - 1.28)^2 + (2.7 - 1.28)^2 = 4.448
Standard deviation = √(4.448/5
sd = 0.94
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 5 - 1 = 4
The formula for determining the test statistic is
t = (xd - μd)/(sd/√n)
t = (1.28 - 0)/(0.94/√5)
t = 3.04
The test statistic for the hypothesis test is 3.04
The amount of time (t) in minutes it takes to make a coffee at Starbucks is related to (n) the number of coffees they purchase. The equation is t =2n-3. How long does it take if a customer buys 5 coffees ?
Answer:
7 minutesStep-by-step explanation:
Given the expression for time
[tex]t =2n-3[/tex]
say a customer buys 5 coffees, hence n=5
substituting n=5 into the function time it takes to prepare a coffee we have the time it will take to prepare 5 coffees
[tex]t= 2(5)-3\\t=10-3\\t=7[/tex]
Hence it will take 7 minutes to prepare 5 coffees
A rectangular parking lot has an area of 7/10 km 2.The width is 1/3 km 2 .What is the length of the parking lot written as a improper fraction ,in kilometers
Answer:
[tex]\dfrac{21}{10}\text{ km}[/tex].
Step-by-step explanation:
It is given that,
Area of rectangular plot [tex]=\dfrac{7}{10}\text{ km}^2[/tex]
Width of rectangular plot [tex]=\dfrac{1}{3}\text{ km}[/tex]
We need to find the length of the parking lot.
We know that,
[tex]\text{Area of rectangle}=length\times width[/tex]
[tex]\dfrac{7}{10}=length\times \dfrac{1}{3}[/tex]
[tex]\dfrac{7\times 3}{10}=length[/tex]
[tex]length=\dfrac{21}{10}[/tex]
Therefore, length of the parking lot is [tex]\dfrac{21}{10}\text{ km}[/tex].
The sides of a number cube have the numbers 9, 3, 5, 3, 7, and 9. If the cube is thrown once, what is the probability of rolling a number less than 10?
Fraction:
Decimal:
Percentage:
Likelihood of the event happening:
Write these numbers in standard form 0.000 05
Answer:
5x 10 ^-5
Step-by-step explanation:
UHM that would be
NaN × [tex]10^{0}[/tex]
I hope this helps!
so my reasoning... Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10.
In the last year, the population of Japan had a decay rate of 0.17% and decreased to 127,484,450. If this rate continues, what will be the population in 7 more years? Round your answer to the nearest whole number.
Answer:
125975100 the population in 7 years
Step-by-step explanation:
the population in 7 more years : 127,484450(1-0.0017)^7=125975100.1919 close to 125975100
Answer: 125,976,376 IN 7 YEARS
Step-by-step explanation:
A=127,484,450
R=-0.0017/YEAR
T=7/YEARS
[tex]A=127,484,450E ^{-0.0017.7}[/tex]a=125,976,375.88a=125,976,376 in 7yearsHELP ASAP PLEASEEEEE C is the center of the circle. Find the length of DGE A. s= 161 over 18 pie B. s= 343 over 35 pie C. s= 343 over 18 pie D. s= 343 over 9 pie
Answer:
C. [tex] \frac{343}{18} pie [/tex]
Step-by-step explanation:
Given a circle of:
Radius (r) = 14
Measure of minor arc = 115°
We are required to find the length of DGE = length of major arc.
Length of arc is given as 2πr(θ/360)
Measure of the major arc DGE (θ) = 360 - 115 = 245°
Length of major arc DGE = [tex] 2*pie*14*\frac{245}{360} [/tex]
[tex] = 28*pie*\frac{49}{72} [/tex]
[tex] = \frac{28*49}{72} pie [/tex]
[tex] = \frac{7*49}{18} pie [/tex]
[tex] = \frac{343}{18} pie [/tex]
Length of arc DGE =
[tex] \frac{343}{18} pie [/tex]
*4.
What is the value of (-ab)(a) when a = -2 and b = 3?
(A)
-12
(B) -6
(C)
(D) 12
Answer:
(D) 12
Step-by-step explanation:
Plug in the given values into the expression. a = -2 b = -3
(-ab)(a)
[-(-2)(-3)](-2)
(-6)(-2)
12
The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2. What is the lateral area of the smaller cylinder? 17.1π mm2 33.6π mm2 60π mm2 84π mm2
Answer:
84π mm^2
Step-by-step explanation:
formula for circumference is 2πr where r is the radius of circle
Given,The circumference of the base of a cylinder is 24π mm
Thus,
2πr= 24π mm
=> r = 24π mm/2π = 12 mm
________________________________________
A similar cylinder has a base with circumference of 60π mm.
radius for this cylinder will be
2πr= 60π mm
r = 60π mm/2π = 30mm
______________________________________________
Given
The lateral area of the larger cylinder is 210π mm2
lateral area of cylinder is given by 2πrl
where l is the length of cylinder
thus,
r for larger cylinder = 30mm
2π*30*l = 210π mm^2
=> l = 210π mm^2/2π*30 = 3.5 mm
___________________________________________
the lateral area of the smaller cylinder
r = 12 mm
l = 3.5 mm as both larger and smaller cylinder are same
2πrl = 2π*12*3.5 mm^2 = 84π mm^2 answer
Answer:
33.6pi mm2 is the correct answer
edge 2021
Step-by-step explanation:
The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2.
What is the lateral area of the smaller cylinder?
17.1π mm2
33.6π mm2
60π mm2
84π mm2
If (5^4)m=5^12 What is the value of M
Answer:
Step-by-step explanation:
Easy way to solve
5^4 = 625.
5^12=244140625.
Thus, 625m=244140625.
Divide both sides by 625/
m=390625, or 5^8.
Better way to solve
When dividing by exponents [tex]x^{4}/x^{2} =x^{4-2}=x^2[/tex]
Thus, simply do 12-4=8 to know that m=5^8.
Hope it helps <3
Answer:
5⁸Step-by-step explanation:
(5⁴)m = 5¹²
Divide both sides by 5⁴
((5⁴)m)/5⁴ = 5¹²/5⁴
m = 5⁸
What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3 . A.x - 3y - 7 = 0 B.x - 3y + 7 = 0 C.3x - y - 7 = 0
Answer:
The answer is option A
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
Equation of the line using point (1 , - 2) and slope 1/3 is
y + 2 = 1/3( x - 1)
Multiply through by 3
That's
3y + 6 = x - 1
Simplify
x - 3y - 1 - 6 = 0
We have the final answer as
x - 3y - 7 = 0Hope this helps you
6th grade math, help me pleasee:)
Answer:
8 pounds
Step-by-step explanation:
2 x 3 = 6 tb of chili powder in pot 2
find pounds per tablespoon: 48 / 6 = 8 pounds
Answer:
1/2 pound per tablespoon
Step-by-step explanation:
Jaden sure does like his chili!
In the first and second pot, he uses 3 pounds worth of ground beef, which means, 12 ounces of something is a pound. And because Jaden had used 3 times the amount of chili powder in the second pot, he used 6 tablespoons worth of powder. 3 pounds divided by 6 equals 1/2.
What is x when: 2/x = 5/9
Answer: 3.6
Step-by-step explanation:
2/x=5/9
Multiply(x)
2=5/9x
Divide by 5/9
x=3.6
Hope it helps <3
Combine the like terms to create an equivalent expression
-k-(-8k)
Answer:
-k+8k=7k is the solution
Write each ratio as a fraction in simplest form.
a) 9 miles to 15 miles
b) 6 1/3 ounces to 9 1/2 ounces