Step-by-step explanation:
If a boy student was picked, the probability that they passed is 0.25 * 0.4 = 0.1.
If a girl student was picked, the probability that they passed is 0.75 * 0.25 = 0.1875.
Total probability = (0.1 + 0.1875) * 100% = 28.75%.
16 liters to quarts (dry measure)
Answer:
16 litres =14.53 US qt dryStep-by-step explanation:
Please mark my answer as a brainliest. ❤❤❤Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?
Answer:
17 years
Step-by-step explanation:
The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
__
Solving for t, we find ...
A/P = (1 +r/n)^(nt) . . . . . . divide by P
log(A/P) = nt·log(1 +r/n) . . . . take logarithms
t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t
For the given values, the time required is ...
t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353
It would take about 17 years for the account value to reach $1740.
_____
Additional comment
The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.
2.3a+3.5b-1.8a-2.7b simplify. Show work.
Answer:
a = -1.6b
Step-by-step explanation:
Simplifying
2.3a + -1.8a + 3.5b + -2.7b = 0
Combine like terms: 2.3a + -1.8a = 0.5a
0.5a + 3.5b + -2.7b = 0
Combine like terms: 3.5b + -2.7b = 0.8b
0.5a + 0.8b = 0
Solving
0.5a + 0.8b = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-0.8b' to each side of the equation.
0.5a + 0.8b + -0.8b = 0 + -0.8b
Combine like terms: 0.8b + -0.8b = 0.0
0.5a + 0.0 = 0 + -0.8b
0.5a = 0 + -0.8b
Remove the zero:
0.5a = -0.8b
Divide each side by '0.5'.
a = -1.6b
1. Which equation does not match the diagram? A. 6 +3x= 30
B. 3(x+6) = 30
C. 3x = 30- 6
D. 30 = 3x + 6
Answer:
B
Step-by-step explanation:
The solution is Option B.
The equation which does not satisfy the relation is 3 ( x + 6 ) = 30
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of x in the diagram be = 3
So , the total number of x = 3x
The sum of the values in the box = 30
So , the equation will be
6 + x + x + x = 30
On simplifying the equation , we get
6 + 3x = 30 be equation (1)
a)
6 + 3x = 30
The equation satisfies
b)
3 ( x + 6 ) = 30
On simplifying the equation , we get
3x + 18 = 30
The equation does not satisfy
c)
3x = 30 - 6
Adding 6 on both sides of the equation , we get
3x + 6 = 30
The equation satisfies
d)
30 = 3x + 6
The equation satisfies
Hence , the equation which does not satisfy the relation is 3 ( x + 6 ) = 30
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ5
Which value is equivalent to the expression 4^5
Answer:
20
Step-by-step explanation:
Convert Repeating Decimal to Fraction
Convert the repeating decimal to a rational number.
ITEM BANK: Move to Bottom
4936/990
530/900
4311/9900
8099/990
674/990
0.4354 drag and din answer har
0.58 drag and drop wether
0.680 - drag and drop shower bord
4.985 - drag and drop antworten
8.180ding and dan wel
Step-by-step explanation:
0.345454...... = 4311/9900
0.5888..... = 530/900
0.68080..... = 674/990
4.98585..... = 4936/990
8.18080...... = 8099/990
Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.
Answer:
-2
Step-by-step explanation:
ur welcome
-1
Step-By step Explanation:
Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.
Answer:
342
Step-by-step explanation:
50+4x=y
x=73
3x+15/2 <30
Please help fast by the way the whole equation 3x+15 is over 2.
Answer:
x < 15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
4. If 100.0g of nitrogen gas (N2) is reacted with 100.0g of hydrogen gas (H2) to form NH3. What are the limiting and excess reactants?
Hint: Convert grams to moles for each reactant and then convert to moles of NH3. You need your balanced equation from answer 1 to determine the mole relationship between each reactant and the product NH3. Use the periodic table to determine the molar mass of all chemical formulas. Fill in the “?” blanks below to show your work.
Balanced equation: 1N2 (g) + 3H2(g) 2NH3(g)
Molar mass of H2 = g/mol
100.0"g " "H" _2×(1"mol " "H" _2)/( ? "g " "H" _2 )×(" ? mol N" "H" _3)/(" ? mol " "H" _2 )= ? "mol N" "H" _3
Molar Mass of N2 = g/mol
100.0"g " "N" _2×(1"mol " "N" _2)/(" ? g " "N" _2 )×(" ? mole N" "H" _3)/(" ? mol " "N" _2 )= ? "mol N" "H" _3
A. What is the excess reactant? Hint: it is the reactant above that makes the most amount of product
B. What is the limiting reactant? Hint: it is the reactant above that makes the least amount of product
C. What is the theoretical yield of ammonia of the reaction?
Molar mass of NH3 = g/mol
100.0"g " "N" _2×(1"mol " "N" _2)/( ? "g " "N" _2 )×( ? "mol N" "H" _3)/( ? "mol " "N" _2 )×(" ? g N" "H" _3)/( 1 "mol N" "H" _3 )= ? "g N" "H" _3
Nitrogen (N) has a molar mass of about 14.007 g/mol, so you have
100.0 g N₂ = (100.0 g) • (1/28.014 mol/g) ≈ 3.570 mol N₂
Hydrogen (H) has a molar mass of about 1.008 g/mol, so
100.0 g H₂ = (100.0 g) • (1/2.016 mol/g) ≈ 49.60 mol H₂
In the balanced reaction, 1 mole of N₂ reacts with 3 moles of H₂ to make 2 moles of NH₃. We have
3.570 • 3 ≈ 10.71
so the reaction would use up all 3.570 mol N₂ and 10.71 mol H₂ to produce about 7.139 mol NH₃.
(A) H₂ is the excess reactant. There is an excess of 49.60 - 10.71 ≈ 38.89 mol H₂.
(B) N₂ is the limiting reactant. All of the N₂ gets consumed in the reaction.
(C) NH₃ has a molar mass of (14.007 + 3 • 1.008) g/mol = 17.031 g/mol. This reaction would theoretically yield about 7.139 mol NH₃, or
7.139 mol NH₃ = (7.139 mol) • (17.031 g/mol) ≈ 121.6 g NH₃
Emily has $110 in a savings account this year. She plans on depositing $10 into the savings account each following year. How much money will Emily have in the account after 9 years?
Answer:
.........................
Answer:
200
Step-by-step explanation:
she started with 110 dollars. then u multiple 10 and 9 for the years to come and and the total u had at the beginning giving u 200
Please help!! I have trouble in math and will give points and thanks for this!!
Answer:
-5
Step-by-step explanation:
You can count backwards from -1.
-1, -2, -3, -4, and then -5 is the blue dot.
The left side of 0 is the negative side. The right side is the positive side.
Hope this helps!
Answer:
-5
Step-by-step explanation:
If you're going backward on the number line then you are in the negative zone because of -1
Expand and simplify
3(x + 5) + 2(x + 4)
Answer:
5x + 23
Step-by-step explanation:
3 ( x+5) + 2 ( x+4 )
3x+15+2x+8
3x+2x+8+15
5x+23
Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy?
Can someone help please
Answer:sorry i cant
Step-by-step explanation:
I NEED HELP ASAP PLZ
first one
Step-by-step explanation:
Answer:
1/2 is the answer
Step-by-step explanation:
Simplify.
12 + 15 : 3x6 - 4
Answer:
Step-by-step explanation:
Divide the numbers
12+153⋅6−412+153⋅x6−412+315⋅x6−412+56−412+5x6−4 12+5x6−4
one third of a number x is equal to 8
Answer:
ok
Step-by-step explanation:
When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?
Answer:
There is no other way you can expand the brackets
Step-by-step explanation:
Christopher has breakfast at a cafe and the cost of his meal is $36.00 Because of the service, he wants to leave a 10% , percent tip.
the answer is 39.60
solve the equations 7(x+4)=21
iready
Step-by-step explanation:
[tex]\bullet\hookrightarrow\sf 7 (x+4)=21 [/tex]
[tex]\bullet\Rrightarrow\sf 7x+28=21 [/tex]
[tex]\bullet\rightarrowtail\sf 7x=21-28 [/tex]
[tex]\bullet\twoheadrightarrow\sf 7x=-7 [/tex]
[tex]\bullet\looparrowright\sf x=\dfrac{-7}{7}[/tex]
[tex]\bullet\rightharpoonup\sf x=-1 [/tex]
how many men have a waist measurement of more than 85cm
Answer:
29
Step-by-step explanation:
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 8 ounces are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with a variance of 0.03 ounces squared. Is there evidence that the machine should be stopped and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of significance in the analysis should be 99%.
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis is:
[tex]H_o: \mu = 8[/tex]
The alternative hypothesis is:
[tex]H_1 : \mu \ne 8[/tex]
The sample size n = 35
Sample mean = 7.91
variance = 0.03
Standard deviation = [tex]\sqrt{0.03} = 0.173[/tex]
The t-test statistics is computed as:
[tex]t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}[/tex]
[tex]t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}[/tex]
t = - 3.0741
Degree of freedom:
df = n - 1
df = 35 - 1
df = 34
Level of significance = 1 - C.I
= 1 - 0.99
= 0.01
The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:
[tex]t_{critical} = -2.728 \ and \ 2.728[/tex]
Decision rule: To reject [tex]H_o[/tex] if [tex]t< -2.728 \ or \ t > 2.728[/tex]
As [tex]t_{statistics}[/tex] fails the rejection region, we reject [tex]H_o[/tex]
Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.
You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.
There is enough evidence that the machine should be stopped and production wait for repairs.
Given information about taken sample are:Sample mean [tex] \overline{x} = 7.91[/tex]Sample size n = 35Sample standard deviation [tex]s = \sqrt{variance} = \sqrt{0.03} = 0.1732[/tex]Confidence should be of 99%.Let the population mean be denoted by [tex]\mu[/tex]
Forming hypotheses:Null hypothesis: [tex]\mu = 8[/tex] (that is, machine needs no repair and working fine)
Alternate hypothesis: [tex]\mu \neq 8[/tex] (that is, machine is not dispensing right amount and need repairs)
Using t test:
[tex]t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821[/tex]
Degree of freedom = sample size - 1 = 34
Level of significance = [tex]\alpha = 1 -0.99 = 0.01[/tex]
From t tables we have:
[tex]t_{critical} = t_{0.01} = \pm 0.278[/tex] (two tailed test) (at 34 degree of freedom)
Since obtained value of t -0.30821 is less than the minimum value of range [tex](-0.278, 0.278)[/tex], thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.
Thus, there is enough evidence that the machine should be stopped and production wait for repairs.
Learn more about testing of hypothesis for single mean here:
https://brainly.com/question/25316952
2x^2-20x+100 quadratic formula
Answer:10
Step-by-step explanation:
Y=^2+5x-7 find the vertex
Answer:
-5/2-39/2
Step-by-step explanation:
Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?
Answer:
95%is the answer
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
We can use the balancing method to do this.. first what is the total below 90?
The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?
The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%
Now we use the balancing method to get from 5-10.
Using the balancing method we get 95%
There are 95 students at an
assembly. They are sitting in rows
and there are 7 students in each
row. How many rows will be needed
to seat all the students?
Answer:
about 14 chairs
Step-by-step explanation:
All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14
The original cost of a sofa was $600. If it was discounted 40% and sales tax is 8%, what is the final cost of the sofa
Answer:
$312
Step-by-step explanation:
10% of $600 is $60
So $60*4=$240
$600-$240=$360
1%=$6
So $6*8=$48
$360-$48=$312
Evaluate: 12 divided by y+9d if y = 5 and d = 7
Answer:
0.25
12/5+(7x5)
Step-by-step explanation:
12/5+(7x5)
12/5+35
12/40
The area of a square shaped park measures 16900 square feet. How many feet of fencing would be needed to enclose that park?
Answer:
520 feet
Step-by-step explanation:
The area=16900
Area formula=b^2
b^2=16900
square root of 16900=130
130*4=520