a bowl contains 4 yellow marbles, 5 red marbles, 1 blue marbles, and 3 green marbles. find the probabilityof the given outcome
Answer:
bowl of colorful marbels
Step-by-step explanation:
bowl+marbels
In how many ways 50 people can handshake with each other?
Answer:
My estimate think it 1225
Step-by-step explanation:
49 / 2 * (49 + 1) = 1225
10a^2b^0 for a=–3, b=–8
Answer:
90Step-by-step explanation:
Substitute a = -3 and b = -8 to the expression 10a²b⁰:
10(-3)²(-8)⁰ = 10(9)(1) = 90
a⁰ = 1 for any real number
Answer:
90
Step-by-step explanation:
10a^2b^0
Let a=–3, b=–8
10 (-3)^2 ( -8)^0
10 * 9 *1
90
Write each prime factorization using exponents.
1. 2×2×2×7
2. 2×3×3
3. 7×7×7×7
Last week, Tanya had $43 in her checking
account. She deposited $50 and wrote a check
for $92. How much money is left in her account?
Answer:
She would have $1 left in her account.
Step-by-step explanation:
43 + 50 = 93
93 - 92 = 1
Hope this helps..?
Answer:
$1
Step-by-step explanation:
We start off with $43.
Tanya deposits $50 to her account.
50+43=93.
She has $93 now.
She writes a check for $92.
93-92=1.
Man, Tanya is broke no cap.
Drove 260 km using 12 liters of gas at this rate how many liters of gas would he need to drive 286km
Answer:
We calculate the amount of gas used per km and multiply it by 286
Step-by-step explanation:
If we drive for 260km and use 12 litres of gas that means that we use
[tex]\frac{12}{260}[/tex] litres per km.
Now we multiply it by 286:
[tex]\frac{12}{260} *286 = \frac{858}{65} = 13.2[/tex]
So, the answer is 13.2 litres.
Solve the following 3x + 7 = 2x + 13 over 3
Answer:
3x+7=2x+13 over 3
3 (3x )+3 (7)=2x +13 over 3×3
9x+21=2x +13
9x- 2x=13-21
7x=-8
x=8/7
Step-by-step explanation:
Step 1:Multiply both sides by the denominator
Step 3:Group like terms
Step 5: Divide both sides to find for x
A table marked at ₹ 15,000 is available for ₹ 14,400. Find the discount given and the discount percentage.
Answer: ₹ 600 and 15% discount rate i believe
Step-by-step explanation:
g Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.
Complete question is;
In a recent poll of female college students, 70% stated that they plan to graduate with a STEM degree. A math teacher at ODU decides to randomly sample 15 female college students. Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.
Answer:
σ = 1.77
Step-by-step explanation:
We are told that 70% stated that they plan to graduate with a STEM degree.
This means that probability of success is; p = 70% = 0.7
A sample of 15 female college students were randomly selected, this means that number of trials is;
n = 15
Now,in binomial distribution formula for standard deviation is;
σ = √(np(1 - p))
Plugging in the relevant values, we have;
σ = √(15 × 0.7 × (1 - 0.7))
σ = √(15 × 0.7 × 0.3)
σ = √3.15
σ ≈ 1.77
2x2 + x + 5 = 0 i don’t know how to do this please help
9514 1404 393
Answer:
x = -0.25+√2.4375i or -0.25-√2.4375i
Step-by-step explanation:
The quadratic formula works for this. The quadratic equation ...
ax² +bx +c = 0
has solutions given by the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Your equation ...
2x² +x +5 = 0
has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...
[tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]
The decimal equivalents are ...
x = -0.25+√2.4375i or -0.25-√2.4375i . . . . . . the 'i' is outside the radical
A bakery offers a sale of 3.50 for 6 muffins what’s is the price per dozen
Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p
Complete Question
Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.
Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.
Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p
Answer:
The statements that are true regarding Valerie's situation:
A: p + 0.5b + 2d < 10
C: d < 2b
D: b > 3p
Step-by-step explanation:
Lets represent
The number of protein bars as p.
The number of bananas as b.
The number of sports drinks that Valerie buys as d.
From the question:
We are told
Protein bars are $1
Bananas are $0.50
Sports drinks are $2.
She will spend no more than twice as much on sports drinks as bananas
d ≤ 2b = d < 2b
At least three times as much on bananas as protein bars.
b ≥ 3p = b > 3p
We are also told that:
Valerie has $10 to spend.
Hence:
$1 × p + $0.50 × b + $2 × d < $10
= p + 0.5b + 2d < 10
Therefore, the statements that are true regarding Valerie's situation:
A: p + 0.5b + 2d < 10
C: d < 2b
D: b > 3p
Simplest form of 14/63
Answer:
2/9
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
Am gonna give branliest!!!
Given that BD is an angle bisector
Solve for m
Answer:
24 degrees
Step-by-step explanation:
since BD is an angle bisector, the given numbers are equal to each other
this means that you can write the equation as: 6x = x + 20
subtract x from both sides to move the variable to one side, this leaves you with: 5x = 20
then divide both sides by 5 to find x: x = 4
now substitute this into the value given for angle ABD: 6(4)
this gives you 24 degrees
The country of Honduras has a population of 8.2 million. There were 7,172 homicide deaths there in 2014.
Express the deaths per capita as a decimal rounded to 6 decimal places.
Express the deaths per capita in Scientific Notation.
Type your answer as though you were typing it into your calculator--either with "E" or "x10^" notation-- no spaces in your answer!
The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the
Answer:
a)Express the death per capita as a decimal rounded to 6 decimal places
0.000875 death per capita
b) Express the death per capita in Scientific notation
8.75 × 10^-4 death per capita
c) 279883 deaths
Step-by-step explanation:
a) Express the death per capita as a decimal rounded to 6 decimal places
The formula for Death Per capita is given as
Number of deaths/ Total population
Measurement : 7172 homicide deaths
Total population : 8.2 millon= 8,200,000
Death per capita = 7172/8200000
Death per capita = 0.00087463414 death per capita.
Approximately to 6 decimal places
= 0.000875 death per capita.
b) Express the death per capita in Scientific notation
The death per capita = 0.000875
In Scientific notation = 8.75 × 10^-4 death per capita
c) The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the United States due to homicides? Round to the nearest person.
Measurement : 7172 homicide deaths
Total population : 8.2 millon= 8,200,000
The United States has a population of about 320 million
Death per capita in Honduras : Death per capita in United States
7172/8200000 : x/320,000,000
7172/8,200,000 = x/320,000,000
Cross Multiply
7172 × 320,000,000 = 8,200,000 × x
x = 7172 × 320,000,000/8,200,000
x = 279882.926829 deaths
Approximately to the nearest person = 279883 deaths
Jeannine puts 10% of her paycheck into a savings account. If she makes $500 each week,
how much does she put in her savings account each week?
Answer:
$50
Step-by-step explanation:
The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School.
Grade Teachers Students
6 1 25
7 2 50
8 3 75
Which teacher-to-student ratio maintains the proportional relationship described in the table?
Teachers Students
5 125
Teachers Students
4 120
Teachers Students
4 100
Teachers Students
6 130
Teachers Students
7 125
Answer:
no one and i am doing time pass and
6 130 will be a right answer
whe it is rong i am sorry
Answer:
6 teachers, and 130 student's
Step-by-step explanation:
1 5/16 divided by 7/12
NEED HELP ASAP Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberries less than Ann and Ben together, what is the total number of strawberries the three of them ate?
Answer:
170Step-by-step explanation:
given:
Ann, Ben, and Cindy were eating strawberries.
The ratio of the numbers of berries they ate is 5:5:7.
If Cindy ate 30 strawberries less than Ann and Ben together,
find:
what is the total number of strawberries the three of them ate?
solution:
add the ratios 5 + 5 + 7 = 17
since Cindy ate 30, less than Ann and Ben together so, the equation is
7x = 5x + 5x - 30
7x - 10x = -30
x = 30/3
x = 10
ann 5 x 10 = 50
ben 5 x 10 = 50
cindy 7 x 10 = 70
total = 170
==============================================
Explanation:
A = number Ann ate
B = number Ben ate
C = number Cindy ate
Let x be some positive whole number
Since A,B,C is in the ratio 5:5:7, this means
A = 5x
B = 5x
C = 7x
Note how A:B:C = 5x:5x:7x = 5:5:7. We divide all parts by x to simplify the ratio.
-------------------
Cindy ate 30 strawberries less than Ann and Ben, so
C = A+B-30
C = 5x+5x-30
C = 10x-30
Earlier in the last section we had C = 7x, and now we found C = 10x-30
Since we're talking about the same C value, we can equate and solve
C = 7x
10x-30 = 7x ... replace C with 10x-30
10x-7x = 30
3x = 30
x = 30/3
x = 10
------------------
With this x value, we now know that...
A = 5x = 5*10 = 50
B = 5x = 5*10 = 50
C = 7x = 7*10 = 70
Cindy's count (70) is 30 less than Ann and Ben's combined count (50+50 = 100), so that helps confirm the answer.
Further confirmation comes from 50:50:70 reducing to 5:5:7 when you divide all parts by the GCF 10.
--------------------
The last step is to add the values of A, B and C.
A+B+C = 50+50+70
A+B+C = 100+70
A+B+C = 170
---------------------
Side note: since A+B+C = 5x+5x+7x = 17x, this means that the final answer is a multiple of 17.
Darren and Carl each go for a morning jog before work. Darren's jogging pace
is represented by the equation y = 5x where y is the number of miles he jogs
and x is the number of hours he jogs. Carl's pace is given by the graph.
35
28
Distance (miles)
21
14
2
3
5
Time (hours)
Choose the statement that correctly compares their unit rates.
O A. Carl's unit rate is equal to Darren's unit rate.
O B. Carl's unit rate is 2 fewer miles per hour than Darren's unit rate.
O C. Carl's unit rate is 1 more mile per hour than Darren's unit rate.
D. Carl's unit rate is 2 more miles per hour than Darren's unit rate.
Answer: d
Step-by-step explanation:
Answer:
D. Carl's unit rate is 2 more miles per hour than Darren's unit rate.
Step-by-step explanation:
Select the values that correctly complete the problem. a = b = c = d = e =
Answer: 2/3 = b/ac = d/e
Step-by-step explanation:
This is all I got if I got it right. Is this one of your answers?
Answer:
a= 2
b=4
c=3
d=2
e=3
Step-by-step explanation:
i hope this helps.
How long does it take for the baseball to reach its maximum height? (2)
b. What was the initial height of the ball? (2)
form A : h(t)= -16t^2 + 96t +7
form b: -16(t-3)^2 +151
help please
Answer: ha no way have the same question
Step-by-step explanation:
Make 3 1/2 cakes in 20 minutes how many cakes can you make in two hours
Answer:
17
Step-by-step explanation:
3 1/2+3 1/2=5 which is 40 min
5=40mins
5+3 1/2=81/2
1 hour=8 1/12
8 1/2+8 1/2= 17
17 in two hours
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviation of 0.64°F. Using the empirical rule, find each approximate porcent
a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?
b. What is the approximate percentage of healthy adults with body temperatures between 97 71°F and 98.99°F?
a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F
(Type an integer or a decimal. Do not round)
Answer:
a) 99.97%
b) 65%
Step-by-step explanation:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Mean of 98.35°F and a standard deviation of 0.64°F.
a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?
μ - 3σ
98.35 - 3(0.64)
= 96.43°F
μ + 3σ.
98.35 + 3(0.64)
= 100.27°F
The approximate percentage of healthy adults with body temperatures is 99.97%
b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?
within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
μ - σ
98.35 - (0.64)
= 97.71°F
μ + σ.
98.35 + (0.64)
= 98.99°F
Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%
What’s 1.2983 rounded to the nearest hundredth
Answer:
1.30 :)
All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !
Hope this helped !!!
Step-by-step explanation:
I need help with this
Answer: B. 8 x 10^3
Step-by-step explanation:
b. 8 x 10³
hope this helps
A company manufactures and sells x VCRs per month. If the cost and revenue equations are C(x) = 200 + 2x, R(x) = 20x − (x^2/50) , use differentials to estimate the change, ∆P, in profit when the production is increased from 100 to 101.
Answer:
ΔP = 14
Step-by-step explanation:
Given
[tex]C(x) = 200 + 2x[/tex]
[tex]R(x) = 20x - \frac{x^2}{50}[/tex]
Required
Determine the change in profit
First, we need to determine the profit
[tex]P(x) = R(x) - C(x)[/tex]
[tex]P(x) = 20x - \frac{x^2}{50} - 200 - 2x[/tex]
Collect Like Terms
[tex]P(x) = - \frac{x^2}{50} + 20x - 2x- 200[/tex]
[tex]P(x) = - \frac{x^2}{50} + 18x- 200[/tex]
Differentiate wrt x
[tex]P'(x) = -\frac{x}{25} + 18[/tex]
When Profit increases from 100 to 101, the change becomes
ΔP [tex]= -\frac{x}{25} + 18[/tex]Δx
Δx[tex]= (x_2 - x_1)[/tex]
Where
[tex]x_2 = 101[/tex]
[tex]x_1 = x = 100[/tex]
So, the expression: ΔP [tex]= -\frac{x}{25} + 18[/tex]Δx becomes
ΔP [tex]= (-\frac{x}{25} + 18)(x_2 - x_1)[/tex]
ΔP [tex]= (-\frac{100}{25} + 18)(101 - 100)[/tex]
ΔP [tex]= (-4+ 18)(1)[/tex]
ΔP [tex]= (14)(1)[/tex]
ΔP = 14
a horizontal line , such as y=4, has a slope of what
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero and a vertical line has an undefined slope
escribe el número igaul a 5 decenas y 13 unidades
Answer:
63
Step-by-step explanation: