Answer:
The volume of the cube is 0.171 cubic inches.
Step-by-step explanation:
The volume of a cube given by :
[tex]V=s^3[/tex]
Where
s is the length of one of the sides.
We need to find the volume of the sugar cube if its side is 5/9 inches per side.
So,
[tex]V=(\dfrac{5}{9})^3\\\\V=0.171\ inches^3[/tex]
So, the volume of the cube is 0.171 cubic inches.
Decreased by 0% is 800 ?
Find the negative reciprocal of the slope of the orginal line. Undefined
Answer:
800
Step-by-step explanation:
100%-0%=100%
100% is also equal to the number 1.
We now have 1x=800
Simplify that and get 800
What is the following product? Assume d>0 3vd•3vd•3vd
Answer:
A. d
Step-by-step explanation:
If you find the 3rd square root or whatever its called, and multiply it by itself again 3 times, You end up with d again.
I can’t remember how to solve this?
Answer:
Step-by-step explanation:
[tex]\frac{(5.27+x)}{2} =-4.51[/tex],[tex]\frac{8.21+y}{2} = 1.37[/tex]
(3.75,-5.47)
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!!
Answer:
78.93 yan ats yung sagot hula ko
Answer:
it is 78.93 yun
hope this will help you
Which ordered pair makes both inequalities true?
AN
3
NO
y> -2x + 3
Ysx-2
ist -3 -2 -1
Answer:
(3, 0)
Step-by-step explanation:
Given the inequality y > -2x + 3 and y ≤ x - 2
The graph of the inequalities are plotted using the geogebra graphing online calculator.
The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.
All the ordered pair points given in the question are also labelled in the graph.
From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.
Which choice is equivalent to(√6)( √8). How do you solve
A. 4√6
B. 4√3
C. 16√3
D. 3√16
Answer:
B
Step-by-step explanation:
(6)^1/2 × (8)^1/2
6^1/2 × 2 (2)^1/2
4 (3)^1/2
Write the slope intercept form of the equation of each line.
1) The line through the point (4,2) and parallel to y+ -3/4x-5
Answer:
[tex]y = -\frac{3}{4}x + 5[/tex]
Step-by-step explanation:
Given equation y = -3/4x - 5
Step 1 : Find slope.
Since the lines are parallel to each other, the slopes are same.
[tex]therefore, m = \frac{-3}{4}[/tex]
Step 2 : Find the equation of the line.
[tex]( y - y_1) = m ( x - x_ 1) \ \ \ where \ x_ 1 = 4 \ and \ y_ 1 = 2[/tex]
[tex]( y - 2 ) = -\frac{3}{4}( x - 4)\\\\y - 2 = -\frac{3}{4}x + 3\\\\y = -\frac{3}{4}x + 3 + 2\\\\y = -\frac{3}{4}x + 5[/tex]
Which ratios are less than 8 to 10? Check all that apply.
6/20
3:5
50/100
13:15
9514 1404 393
Answer:
6/20, 3:5, 50/100 are all less than 8/10
Step-by-step explanation:
It can help to give all the ratios a common denominator. (We'll use 100, and fudge the last one a bit.)
8/10 = 80/100 . . . . our reference value
__
6/20 = 30/100 . . . less than 8/10
3/5 = 60/100 . . . . less than 8/10
50/100 . . . . . . . . . less than 8/10
13/15 ≈ 86.7/100 . . . more than 8/10
1. 650 - 700 - 800 = ?
2. 25 - 45 + 23 =?
carry on learning
Answer:
- 850
3
Step-by-step explanation:
650 - 700 - 800
650 - 1500
- 850
25 - 45 + 23
- 20 + 23
3
Simplify -|-5 + 2|
someone help quick
Answer:
-3
Step-by-step explanation:
24
4
3+
2+
2
1
-3
-
-1
1
1
2
3
4
-1+
-2 +
-3+
4
What is the slope of the line?
Answer:
1.5/2
Step-by-step explanation:
slope formula = y2-y1/ x2 - x1
point one (2,0)
point 2 (0, 1.5)
you dont really need to subtract anything because the intercepts, so the slope is 1.5/2
(slope or m = 1.5 - 0 / 2 - 0 )
x intercept = value of x when y is 0
y intercept = value of y when x is 0
Insert a digit in place of each “…” to make numbers that are divisible by 6 if it
is possible:
4…6
?
Answer: Either 2, 5, or 8
This means the number 426 is divisible by 6. So are 456 and 486
===============================================================
Explanation:
A number is divisible by 6 if both of the following are true
The number is divisible by 2The number is divisible by 3This is simply because 6 = 2*3. So if 6 is a factor of a number, then 2 and 3 must be factors.
To have 2 be a factor, the units digit must be in the set {0,2,4,6,8} which is the case here (the units digit is 6 in this case). Therefore we know the number is a multiple of 2 regardless of what the other digits are. To have 3 be a factor, the digits must add up to a multiple of 3. Through trial and error, we see that 0 doesn't work because 4+0+6 = 10 which is not a multiple of 3. Same goes for 4+1+6 = 11, but 4+2+6 = 12 is a multiple of 3.Therefore, 426 is a multiple of 6
Increment that middle digit 2 by 3 and we jump from 426 to 456. Those three digits add to a multiple of 3 as well (4+5+6 = 15). Following that line of logic, we go from 456 to 486 as the last possible three digit number that has these conditions of having 4 first and 6 last, and the number is a multiple of 6.
-------------------------------
In short,
The numbers 426 and 456 and 486 are all multiples of 6 since they are multiples of 2 and 3 at the same time.
So we could replace that middle digit with either 2, 5 or 8.
If gasoline costs $ 4.01 per gallon when you pay with a credit card, but $ 0.05 per gallon less if you pay with cash, how much do you save by filling up a 13 -gallon tank and paying for it with cash?
Answer:
$0.65
Step-by-step explanation:
You can just do 0.05 * 13 to find the difference between the two prices.
Find the indicated side of the
right triangle.
45
у
9
45
х
x = [?]
Enter
Answer:
9
Step-by-step explanation:
An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight and some were overweight, but most of them had satisfactory weight.
Weight % of Total Underweight 2.5 Satisfactory 90.0 Overweight 7.5a) What is the probability of selecting and finding that all three bags are overweight?b) What is the probability of selecting and finding that all three bags are satisfactory?
Answer:
a) 0.000016 = 0.0016% probability of selecting and finding that all three bags are overweight.
b) 0.729 = 72.9% probability of selecting and finding that all three bags are satisfactory
Step-by-step explanation:
The condition of the bags in the sample is independent of the other bags, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a) What is the probability of selecting and finding that all three bags are overweight?
2.5% are overweight, which means that [tex]p = 0.025[/tex]
3 bags means that [tex]n = 3[/tex]
This probability is P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.025)^{3}.(0.975)^{0} = 0.000016[/tex]
0.000016 = 0.0016% probability of selecting and finding that all three bags are overweight.
b) What is the probability of selecting and finding that all three bags are satisfactory?
90% are satisfactory, which means that [tex]p = 0.9[/tex]
3 bags means that [tex]n = 3[/tex]
This probability is P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.9)^{3}.(0.1)^{0} = 0.729[/tex]
0.729 = 72.9% probability of selecting and finding that all three bags are satisfactory
URGENT PLEASE I NEED HELP
Answer:
1. <1 and <2 are congruent
Step-by-step explanation:
✔️Statement 1 is NOT TRUE:
Rationale: with the information given, we cannot determine the measure of each of the angles.
✔️Statement 2 is TRUE:
Rationale: complementary angles add up to 90°. The sum of both angles equals 90°
✔️Statement 3 is TRUE:
Rationale: the red little box indicates a right angle
✔️Statement 4 is TRUE:
Rationale: adjacent angles share a common side. Both angles share a common side, so they are adjacent to each other.
Please help! Rewrite the function
Answer:
The answer is below
Step-by-step explanation:
A function is used to show the relationship between two or more variables. This variables are known as the input variables and output variables.
The input variables are variables which do not depend on other variables while the output variables are variables that depends on other variables.
Given that g(x) = 12x / (x-5); rewriting in the form g(x) = [a/(x-h)] + k, gives:
[tex]g(x)=\frac{60}{x-5}+12[/tex]
The graph of g(x) was plotted using online geogebra graphing calculator. The graph is attached.
Determine how much simple interest you would earn on the following investment:
$13,400 invested at a 6 1/2% interest rate for 4 years.
Answer: $3,484 (I hope this is the correct way to do it)
Step-by-step explanation:
The formula is: [tex]SI=\frac{PRT}{100}[/tex]
SI = simple interest P = principal amount = $13,400 R = interest rate (in percentage) = [tex]6\frac{1}{2}[/tex]% = 6.5% T = time duration (in years) = 4 years[tex]SI=\frac{13400*6.5*4}{100} =\frac{13400*26}{100} =\frac{348400}{100} =3484[/tex]
If you want to find the total amount, add the principle amount and the interest.
The strength of one's immune system can be evaluated in several ways. One of the most popular methods involves measuring the concentration of adenosine triphosphate (ATP) in the blood. In women, the mean blood ATP level is 390 ng/mL, and the standard deviation is 115 ng/mL. It has been hypothesized that women with Major Depressive Disorder (MDD) have decreased immune function. A recent study found that a random sample of 30 women with MDD had an average blood ATP level of 355 ng/mL. Using a one-sample z test, what is the p-value of this result? (HINT: This involves a one-tailed hypothesis test).
Answer:
Hence the value of p is 0.04746.
Step-by-step explanation:
The test statistic is
[tex]Z=(\bar x-\mu)/(s/vn)\\\\=(355-390)/(115/ \sqrt(30))\\\\=-1.667[/tex]
The p-value= P(Z<-1.67) =0.04746. (from standard distribution table)
Therefore p-value =0.04746.
Which expression is equivalent to -28xy + 35y?
o 7y(-4xy + 5y)
O 7x{-4x+ 5y)
o 7xl-4y+54)
O 7y(-4x+5)
Answer:
[tex]-28xy+35y[/tex]
[tex]GCF ~is~ 7y[/tex]
[tex]=7y(-4+5)[/tex]
The equivalent expression: [tex]7y(-4x+5)[/tex]
-------------------------
hope it helps...
have a great day!!
i need help solving this .
Answer:b
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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37. Two numbers are such that their
difference, their sum and their
product are in the ratio 1:7: 24.
Find the product of the
number.
Answer:
8 and 6
Step-by-step explanation:
Two numbers are such that their difference, their sum, and their product are to
each other as 1:7:24. Their product must equal what number?
:
Two numbers a & b
Let x = the multiplier
:
a - b = 1x
a + b = 7x
a * b = 24x
:
Add the 1st two equations
a - b = x
a + b = 7x
2a = 8x
a = 4x
or
x = .25a
:
a * b = 24x
Replace 24x; a = 4x therefore:
a * b = 6a
b = 6
;
Using the 1st equation
a - b = 1x
Replace b with 6 and x with .25a
a - 6 = .25a
a - .25a = 6
.75a = 6
a =
a = 8
:
Find the multiplier
a - b = x
8 - 6 = 2
:
Check this
a - b = 2 (1*2)
a + b = 14; (7*2)
a * b = 48: (24*2)
:
The numbers are 8 and 6; their products = 48
Suppose Z has a normal distribution with a mean of 10.0 and a standard deviation of 5.0 what is the P(2.0
Answer:
.0548
Step-by-step explanation:
(2-10)/5= -1.6
go to a ztable and get .0548
A sample of 25 one-year-old girls had a mean weight of 24.1 pounds with a standard deviation of pounds. Assume that the population of weights is normally distributed. A pediatrician claims that the standard deviation of the weights of one-year-old girls is less than pounds. Do the data provide convincing evidence that the pediatrician's claim is true
Answer:
Paedtricians claim isn't true.
Step-by-step explanation:
The hypothesis :
H0 : σ = 7
H0 : σ > 7
The test statistic ; χ² :
χ² = [(n - 1) * s²] ÷ σ²
n = 25 ; s = 4.3, σ = 7
χ² = [(25 - 1) * 4.3²] ÷ 7²
χ² = [(24 * 4.3²] ÷ 49
χ² = 443.76 / 49
χ² = 9.056
At α = 0.01 ; critical value = 42.980
Since critical value > test statistic, we fail to reject the null, H0.
During a party, Eli loses a bet and is forced to drink a bottle of lemon juice. Not long thereafter, he begins complaining of having difficulty breathing, and his friends take him to the local emergency room. His blood pH is 7.28. What does this mean
Answer:
It means acidosis.
Step-by-step explanation:
When the pH level of the human blood is less than 7.35, the condition is known as acidosis.
When the pH level of the human blood is more than 7.45, the condition is known as alkalosis.
The organs which help to regulate the pH of human body is lungs.
Lungs remove the carbon di oxide through breathing or respiration.
Cross out three digits in the number 51489704 so that the resulting number is divisible by 45. What number is left?
The factors of 45 are 9 and 5.
A number divisible by 45 needs to be divisible by both 9 and 5.
For a number to be divisible by 9 the sum of the digits must also be divisible by 9 and the number needs to end with either a 0 or a 5 to be divisible by 5.
This means the number needs to end with the 0 so cross out the last number (4)
Now find a sum of 5 remaining numbers divisible by 9.
5 + 1 + 4 + 8 + 0 = 18 which is divisible by 9
Cross out 9,7 and the last number 4 to get the number: 51480
What is 233,193 rounded to the nearest thousand
Is the distance a baseball travels in the air after being hit a discrete random variable, a continuous random variable, or not a random variable?
Answer: a continuous random variable
Step-by-step explanation:
Can you count the distance it traveled? You can't, so it couldn't be discrete because you can count discrete variables.
Can you measure the distance it traveled? You sure can, that makes it a continuous random variable.
Do you know the exact distance it's going to travel? You won't, therefore it's a random variable since you don't know the value beforehand.
arrange the following in descending order - 5, 0, -15, 2.5, 2.05
Answer:
2.5, 2.05, 0, -5, -15
Step-by-step explanation:
for negative numbers the bigger is worth less
A motel in New Orleans charges $90 per day for double occupancy and $80 per day for single occupancy during off-season. If 80 rooms are occupied for a total of $6,930, how many rooms of each kind are occupied?
double occupancy room=x
single occupancy room=y
x + y = 80,
90x + 80y = 6930
x=53
y=27