Answer:
8.1 g
Step-by-step explanation:
405 g ÷ 50 = 405 ÷ (100/2) = 405 × 2/100 = 810/100 = 8.1
8.1 g
painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach?
Answer:
this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. . so 8^2 + b^2 = 24^2
b^2 = 512, so b = sqrt(512) = 22.6
The number of coupons x used by a customer in a grocery store is a random variable with the probability density function f(x) = 4x + 3 27 , [0, 3] Find the expected number of coupons a customer will use.
Applying the integral formula, it is found that the expected number of coupons a customer will use is of 1.83.
The probability density function is given by:
[tex]f(x) = \frac{4x + 3}{27}, [0,3][/tex]
The integral formula for the expected value is:
[tex]E(x) = \int_0^3 xf(x) dx[/tex]
Hence, applying the formula for f(x) given in this problem, the expected number of coupons a customer will use is:
[tex]E(x) = \int_0^3 \frac{4x^2}{27} + \frac{x}{9} dx[/tex]
[tex]E(x) = \frac{4x^3}{81} + \frac{x^2}{18}|_{x = 0}^{x = 3}[/tex]
[tex]E(x) = 1.83[/tex]
The expected number of coupons a customer will use is of 1.83.
A similar problem, which also involves the calculation of the expected value via integral, is given at https://brainly.com/question/14263236
Hello help help please help help
Answer:
[tex]8x + 6 > 38 \\ 8x > 38 - 6 \\ 8x > 32 \\ x > \frac{32}{8} \\ \color{yellow} \boxed{x > 4}[/tex]
Write the ratio in simplest form. 10 seconds to 5 min
Answer:
10:5
Step-by-step explanation:
The simplest form of the ratio 10 seconds to 5 min will be;
⇒ 1 : 30
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio is,
⇒ 10 seconds to 5 minutes.
Now,
Since, The ratio of two numbers has always same units.
So, We change 5 minutes into seconds as;
Since, 1 minutes = 60 seconds
Hence, 5 minutes = 5 x 60 seconds
= 300 seconds
Thus, The ratio becomes,
⇒ 10 seconds to 300 seconds
⇒ 10 : 300
⇒ 10 / 300
⇒ 1 / 30
⇒ 1 : 30
Thus, The simplest form of the ratio 10 seconds to 5 min will be;
⇒ 1 : 30
Learn more about the ratio visit:
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An antique has a price tag of $275. The sales tax rate for the county is 8.2%. How much sales tax will be due?
Answer:
$22.55
Step-by-step explanation:
To find the tax due divide 8.2% by 100 to convert it into a decimal which equals to .082 . Next multiply 275 by .082 which gives you $22.55.
If an item that originally cost $20 is increased to $27, what is the percentage of increase in the item?
Answer:
135%
Step-by-step explanation:
Answer:
35% increase
Step-by-step explanation:
27-20=7
7/20=0.35
100 POINTS HELP ASAP NOW!!!!!!
Find the value of x in each case.
9514 1404 393
Answer:
x = 22.5°
Step-by-step explanation:
The interior angle at E is (180 -4x), the supplement of the exterior angle there, 4x. The sum of angles 2x and (180-4x) will be equal to 6x, because alternate interior angles at transversal BE are congruent:
2x +(180 -4x) = 6x
180 = 8x . . . . . . . add 2x and simplify
22.5 = x . . . . . . . divide by 8
The value of x is 22.5°.
The Shah family uses up 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1 Gallon per 6 days
Step-by-step explanation:
1/2 *2 = 1
3*2 =6
Answer:
1/6 Gallons of Milk per Day
Step-by-step explanation:
1/2 / 3 = 1/6
(3)a train travel 252 km in 42 hours. what amount of time will it take to complete a journey of 350km. (4) calculate the cost of 15 article at $1.95 each cost. (5) if 25 article cost 43.75 how much does each cost. (6) A car travel 240km on 20 liter of petrol. how many liters of petrol is needed to travel 600km
Answer:
(3)
Distance the train can travel=252km
Distance the train can travel in 1 hour=252÷42=6km
The time needed to cover 350km= 350÷6=58.4 hours.
(4)
The cost of 1 articles=$1.95
The cost of 15 articles= 15(1.95)=$29.25
(5)
Cost of 25 articles= 43.75
Cost of 1 article= 43.75/25=1.75
(6)
Liters of petrol needed when a car travels 240km=20litre
liters of petrol needed when a car travels 600km= 20/240 x600
20/24x60
20/4x10
5x10=50liter
A definition of a statistical question is given below.
Statistical question:
Any question whose answer could involve working with more than one data value.
In each situation below, determine whether the question is a statistical question.
Answer:
I dont know
Step-by-step explanation:
i inserted a picture of the question could you please make it short.
Answer
B) 6²
E) 36
Step-by-step explanation:
[tex]6^{7}[/tex] / [tex]6^5[/tex] = 6^(7-5) = 6²
6² = 36
The table below represents which equation?
Answer:
the third answer is correct
Step-by-step explanation:
the starting point is 2 and it goes up by 3
Tell whether the ordered pair (−5, −4) is a solution of the system
Step-by-step explanation:
3x - y = -11
(-15) + 4 is 11 hence RHS = LHS
Which inequality is true when the value of d is 14?
−d−9>−1.5
−d−9<1.5
−d−9>1.5
d−9<−1.5
Answer:
-d - 9 < 1.5
Step-by-step explanation:
In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.
[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\[/tex]
-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.
[tex]-(14)-9<1.5?\\-14-9<1.5?\\-23<1.5?[/tex]
Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.
[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?[/tex]
Nope! -23 is not greater than 1.5. Let's try the last one.
[tex]14-9<-1.5?\\5<-1.5?[/tex]
And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.
−d−9<1.5 inequality is true when the value of d is 14.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
We have to check the inequality which is true for d when it is 14.
−d−9>−1.5
-14-9>-1.5
-23>-1.5
The first option is false.
−d−9<1.5
-23<-1.5
So the inequality −d−9<1.5 is true for d=14.
−d−9>1.5
-23>1.5
The inequality is false.
d−9<−1.5
14-9<-1.5
5<-1.5
The inequality is false.
Hence, −d−9<1.5 inequality is true when the value of d is 14.
To learn more on Inequality click:
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4 boys weighed themselves in different pairs and alone. The weights of the pairs were 110kg, 112 kg, 113kg, 118kg, 121 kg, and the weight of one pair was lost. The total weight of the 4 boys was 230kg. What was the lost weight?
Answer:
116
Step-by-step explanation:
you can use variables
a+b=110
a+c=112
a+d=113
b+c=118
b+d=121
add up the weights and you get 574 kg (you need to find c+d)
3a+3b+2c+2d=574
a+b+c+d = 230 as given then you multiply by 3 so you can cancel out 3a and 3b and subtract 690-574 because we multiplied by 3
you are left with c+d=116
Hi, someone else asked this question and I know that the answer is 6, but don’t know why. Could someone explain this for me, please? If you can make me understand I’ll give you brainliest…
Answer:
6
Step-by-step explanation:
I'm not exactly sure, but since 6 is the only number missing from this pattern, wouldn't it make sense for the answer to be 6?
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box.
Please answer completely
Answer:
58.95
Step-by-step explanation:
I took the quiz using K-12, and this is what I got!
Sorry If I am late to answer!
Use elimination to solve.
3y-6x=7
-4y-3x=9
Answer:
x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
Step 1: Multiply Equation 2 by -2:
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
Step 2: Add "8y + 6x = -18" to Equation 1:8y + 6x = -18
+ 3y - 6x = 7
11y = -11
Step 3: Divide both sides by 11 to solve for y:[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]
y = -1
Step 4: Substitute y = -1 into Equation 2 to solve for x:-4(-1) - 3x = 9
4 - 3x = 9
Step 5: Subtract 4 from both sides:4 - 4 - 3x = 9 - 4
- 3x = 5
Step 6: Divide both sides by -3 to solve for x:[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]
[tex]x = - \frac{5}{3}[/tex]
Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.
63% to fraction
[tex] \frac{63}{?100} [/tex]
Follow the steps mentioned below to write 0.63 as a fraction.
Step 1: Determine the number of digits after the decimal point in the decimal number. Here, there are 2 digits after the decimal point.
Step 2: Remove the decimal point and write the number by the power of 10 which is equal to the number of digits after the decimal point. So, here we will divide 63 by 102
Step 3: Express the fraction in simplified form.
So, 0.63 as a fraction is,
0.63 = 63/100
(9 + 31 + 5)[(7 x 5) x 4]
Answer:
The answer to your question is (7.5.4
Which of these angle pairs are congruent because they are corresponding
angles?
A. 2 and 4
B. 2 and 3
C. 2 and 5
D. 2 and 6
SUBMIT
Answer: it’s 2 and 6
Step-by-step explanation:
1.6 ACSF L5 SC Number: Simple and Compound Interest
Sandra plans to retire and can receive a lump sum of $26,376 from her pension provider.
2
She decides to invest of the lump sum for 8 years and use the rest for travelling.
3
Her bank account pays 4.99% compound interest per annum.
How much interest will Sandra receive from this investment after 8 years?
Round your answer to the nearest thousand dollars.
$
Answer:
$12,000
Step-by-step explanation:
[tex]p(({1 + i})^{n} - 1)[/tex]
[tex]26376( ({1 +.0499 })^{8} - 1) \\ = 12000[/tex]
What is the answer for 14.05 x 7
Answer:
98.35
there that is the answer
Find the surface area S of the following cylinder. Enter the exact answer using π
let's notice that that cylinder has a height of 16 whilst a radius of 8, thus
[tex]\textit{surface area of a cylinder}\\ SA = 2\pi r(h+r)\qquad \begin{cases} h= \stackrel{height}{16}\\ r = \stackrel{radius}{8} \end{cases}\implies SA = 2\pi (8)(16+8) \\\\\\ SA = 16\pi (24)\implies \boxed{SA = 384\pi }[/tex]
There are about 3 × 1020 gallons of salt water on the earth, while there are about 6 × 1018 gallons of fresh water. About how many times the amount of fresh water is the amount of salt water? 200 times the amount 500 times the amount 2 times the amount 50 times the amount
Answer C
Step-by-step explanation:
Brainiest for answer as always
Answer:
X=33
Step-by-step explanation:
Hope this helps!!!
After buying supplies ruby had $32 left over she spent $4 on notebooks $18 on a backpack and $30 on a new calculator how much money did ruby start with write an equattion to show your work
Answer:
$84
Ruby started with $84 before purchasing the school supplies.
Step-by-step explanation:
$32 + $4 + $18 + $30 = $84
1 out of 5 apple were rotten . If 284 were edible, how many apples were harvested?
Answer:
200 apple yet to go byhfhhf
plz help with this will mark as brinliest
Answer:
it’s c
Step-by-step explanation:
you found a recipe which calls for 1/2 pound of chicken per person, if 4 pounds of chicken costs $8, what is the cost per person for the recipe you are using?
9514 1404 393
Answer:
$1 per person
Step-by-step explanation:
The per-person cost (x) can be found from the proportion ...
x/(0.5 lb) = $8/(4 lb)
Multiplying by 0.5 gives ...
x = (0.5 lb) × ($8 /(4 lb)) = $1 . . . . . . units of lb cancel
The cost per person will be $1.
