Answer:
112
Step-by-step explanation:
672/6 = 112
Answer:
112
Step-by-step explanation:
672 divided by 6 is 112. There are 112 eggs in each box.
Gerda discovers that the lifetime of light bulbs is normally distributed with mean 1000 hours and standard deviation 100 hours. if gerda buys 50 bulbs, how many of them are expected to last less than 800 hours? give your answer correct to the nearest integer.
Carl makes $10.25 per hour, h, plus a daily bonus of $25. Which equation represents his total earnings, t, each day?
Answer:
10.25 × h + 25= t
Step-by-step explanation:
he gets 10.25 for every hour, so you do 10.25 × h, than for his extra bonus of 25 dollars a day, you add 25. than t shows the final earnings
If point a is at (-1,2) and point b is at (11,-7), what is length of line ab?
Answer:
15
Step-by-step explanation:
Distance formula: [tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
Plug in (-1,2) and (11, -7):
[tex]d=\sqrt{(11-(-1)^{2}+(-7-2)^{2} } = d=\sqrt{(12)^{2}+(-9)^{2} }=\sqrt{144+81} = \sqrt{225} = 15[/tex]
Damian created a table to record how many flavors of Candy Whizz candies he has in his jar.
Flavor of Candy Frequency
Chocolate
51
Fudge
40
Orange
14
Vanilla
20
Damian randomly pulls a piece of candy from the jar and then puts it back in the jar. If he does this 50 times, how many times is a vanilla-flavored candy expected to be pulled
from the jar?
Options:
04
16
20
08
The number of times Damian would pick a vanilla-flavored candy from the jar is 8 times.
How many times would Damian pick a vanilla-flavored candy?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The number of times Damian would pick a vanilla-flavored candy = number of vanilla flavored candy / total number of candies
20 / 125 = 0.16
0.16 x 50 = 8 times
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10% of the 200 athletes at a lacrosse tournament have yellow jerseys. How many athletes have yellow jerseys?
Answer:
20 athletes
Step-by-step explanation:
If h(x) = 5 x and k (x) = startfraction 1 over x endfraction, which expression is equivalent to (k circle h) (x)? startfraction (5 x) over x endfraction startfraction 1 over (5 x) endfraction 5 (startfraction 1 over x endfraction) 5 (5 x)
The composition of the two given functions is:
(k°h)(x) = 1/5x
How to get the composition of the functions?
Here we have the functions h(x) = 5x and k(x) = 1/x.
We want to get (k°h)(x), which is equal to:
k(h(x))
Then we have:
k(h(x)) = 1/h(x)
Replacing h(x) we get:
k(h(x)) = 1/h(x) = 1/(5x)
So the composition is just one over 5x.
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Evaluate for f(-2)
f(x) = 3/2x - 4
Answer:
f(-2) = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given function.
[tex]\displaystyle f(x) = \frac{3}{2}x - 4[/tex]
Step 2: Find f(-2)
[Function] Substitute in x:∴ the function when x = -2 is equal to -7.
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---
Topic: Algebra I
3Your new mobile phone costs £360.
The probability you leave it on the bus is 0.1.
The probability someone will hand it in to lost property and you will recover it
is 0.4.
The cost of insurance to cover the loss of the phone is £30.
Should you pay for this control measure?
List any assumptions that you make
Assuming you have to pay 30 pounds for somebody handing it in to lost property, you'll have a 0.5 probability that you'll have to pay the 30 pounds if you lose the phone.
Also assuming there are no other ways to lose your phone, you have a 0.5 probability (50% chance?) to lose your phone.
Also assuming the "control measure" is the insurance and you won't have to pay a larger amount, you'll probably be better off paying the 30 pounds instead of the larger amount because you have such a high chance of losing your phone.
I apologize if I misunderstood the question.
What is the value of x innthe equation 1.5(x+4)-3=4.5(x-2)
[tex]~~~~~~1.5(x+4)-3 = 4.5(x-2)\\\\\implies 15(x+4) -30 =45(x-2)~~~~~~~~;[\text{Multiply both sides by 10]}\\\\\implies 3(x+4)-6=9(x-2)~~~~~~~~~~;[\text{Divide both sides by 5]}\\\\\implies 3x+12-6=9x-18\\\\\implies 3x+6=9x-18\\\\\implies 9x-3x = 18+6\\\\\implies 6x = 24\\\\\implies x = \dfrac{24}6\\\\\implies x =4[/tex]
• A bag contains 5 orange, 3 yellow, and 5 black marbles. What are the odds of picking an orange marble?
Answer:
The odds will be 5/13.
Step-by-step explanation:
There are 13 marbles total in this situation. 5 orange, 3 yellow and 5 black (5+3+5) will give us 13 as our overall total. Now, because we have 5 orange marbles available, we'll write this as a 5/13 odds/ chance of picking an orange marbles because it is how many orange marbles are present over how many marbles there are total.
Also! You can't simplify this any further, thus you'd have 5/13 odds.
Maria and Bridgette both belong to the same public pool and attend swim classes with a coach. Maria pays $105 for her season pass and 6 swim classes. Bridgette pays $135 for her season pass and 9 swim classes. What is an equation for the cost of a season pass and swim classes as a function of the number of swim classes attended? Explain what each variable represents and identify the initial value and the rate of change. Show your work.
Answer:
T = 10s + 45Step-by-step explanation:
Since both Maria and Bridgette belong to the same public pool they pay same rate for season pass and each class.
Let the season pass be y and swim class cost be x.
Then according to given we have the following equations
y + 6x = 105y + 9x = 135Solve the system by elimination, subtract the equations
y + 9x - y - 6x = 135 - 1053x = 30x = 10Find y
y + 6*10 = 105y = 105 - 60y = 45The initial value is 45 and rate of change is 10.
The equation for the total cost would be
T = 10s + 45, where T - total cost, s - number of swim classesin order to make a specific shade of green paint a panter mixes 1 1/2 quarts of blue paint 2 cups of green paint and 1/2 gallion of white paint how much of each collor is needed to make 100 cups of this shade of green paint
Answer:
37.5 cups of blue
12.5 cups of green
50 cups of white
Billy has 10 bouncy balls. His brother has 30 bouncy balls. He washed 10 of his and 10 of his brother. How many bouncy balls do they have left?
Answer:
20
Step-by-step explanation:
10 + 30 = 40
40 - 10 = 30
30 - 10 = 20
answer is 20
Answer:
20 bouncy Balls!
Step-by-step explanation:
10+30 - 20 = 20
What’s the area formula, of 48m
Answer:
The area formula of a circle is [tex]A=\pi* r^2[/tex] where r is the radius and in this case our r is 48 m. So we would just plug in 48 m into r which would get squared and then multiplied by pi to give us [tex]7,238.23\ m[/tex].
Hope this helps! Let me know if you have any questions
Answer:
[tex]\pi[/tex]r²
Step-by-step explanation: Youre welcome :)The spinner is divided into 8 equal-sized sections. enter the probability of the arrow landing on a section labeled 4 on the first spin
Answer: 1/8
Step-by-step explanation:
Tanisha owns a small business selling bagels. She knows that in the last week 61 customers paid cash, 5 customers used a debit card, and 45 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash as a decimal to the nearest hundredth.
Answer:
The probability as a decimal to the nearest hundredth is 0.550.55.
Step-by-step explanation:
61 cash, 5 debit card, and 45 credit card.
\color{steelblue}{61}+5+45=
61+5+45=
\,\,\color{indianred}{111}
111
There were a toal of 111 customers. 61 paid with cash.
Probability the next customer will pay with cash:
\frac{\color{steelblue}{61}}{\color{indianred}{111}}=
111
61
=
\,\,0.549549...
0.549549...
\approx
≈
\,\,0.55
0.55
Round to the nearest hundreth
The probability that the next customer will pay with cash is 0.55.
What is the formula for probability?Probability is the ratio of the number of favorable events divided by the total outcome.
We have, given that, Tanisha owns a small business selling bagels. She knows that in the last week 61 customers paid cash, 5 customers used a debit card, and 45 customers used a credit card.
The total number of payments is,
61+45+5=111.
We have to find the probability that the next customer will pay with cash as a decimal to the nearest hundredth.
The number of the favorable outcome for the customer will pay with cash is 61, and the total number of outcomes is 111.
Therefore, the probability is,
P(A)=61/111
P(A)=0.5495.
Therefore, the probability of the nearest hundredth is 0.55.
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help will give brainliest
Answer:
0.7°
Step-by-step explanation:
From the figure:
CF = 4000.2 miles, CE = 4000.01 miles
so FT = √CF² - CT², TE = √CE² - CT²
so FT = 40 miles, TE = 8.94 miles
so ½ × 4000.2 × 4000.01
xsin angle FCE = ½ × 4000 × 140 + 8.94
so sin angle FCE = 0.0122
so angle FCE = 0.7°
so m SB = 0.7°
HOPE THIS HELPS AND HAVE A NICE DAY <3
The image is the question
Answer:
6h^2 - 19h + 15
Find two numbers that their sum is -19 and their product is 90.
Hence, the numbers will be -9 and -10
6h^2 - 9h - 10h + 15
3h(2h - 3) -5(2h - 3)
(2h - 3)(3h - 5)
what is the initial value of the linear relationship of -2, 3
math help questions
After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.
After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.
And so on. After t years, the investment would have a value of [tex]\$800 \times 1.07^t[/tex].
We want the find the number of years n such that
[tex]\$856 \times 1.07^n = \$1400[/tex]
Solve for n :
[tex]856 \times 1.07 ^n = 1400[/tex]
[tex]1.07^n = \dfrac74[/tex]
[tex]\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)[/tex]
[tex]n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)[/tex]
[tex]n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}[/tex]
Answer:
25 years
Step-by-step explanation:
total = before × percent ( in decimal ) × time
1400 = 800 × 0.07 × t
1400 = 56 × t
1400 ÷ 56 = 25
t = 25
Hope this was helpful!
Of the last 15 people at a carnival booth, 6 won a prize. what is the experimental probability that the next person at the booth will win a prize?
Answer:
40% or 2/5
Step-by-step explanation:
won = 6
total no. of people = 15
probability of winning = 6/15 = 2/5
2/5*100
=40%
Roberta grows pea plants, some in shade and some in sun. she picks 8 plants of each type at random and
records the heights.
shade plant heights (in.) 7 12 7 10 8 12 8 8
sun plant heights (in.) 19 24 21 22 23 19 20 20
express the difference in the means as a multiple of their ranges.
the difference in the means is times the ranges.
The product of two consecutive integers is 72. the equation x(x 1) = 72 represents the situation, where x represents the smaller integer. which equation can be factored and solved for the smaller integer? x2 x – 72 = 0 x2 x 72 = 0 x2 2x – 72 = 0 x2 2x 72 = 0
The equation that can be factored and solved for the samller integer is x² + x - 72 = 0
How to form an equation?The product of two consecutive integers is 72. The equation that represents the situation is as follows:
x(x + 1) = 72
where
x = smaller numberTherefore,
x(x + 1) = 72
x² + x = 72
x² + x - 72 = 0
Therefore, the equation that can be factored and solved for the samller integer is x² + x - 72 = 0
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PLEASE HELP ME I NEED ANSWERS
Two boats leave the same marina. One heads north, and the other heads east. After some time, the northbound boat has traveled 16 miles. If the two boats are 20 miles apart, how far has the eastbound boat traveled?
Answer:
4 Miles
Step-by-step explanation:
Simple, if the boat heading North has traveled 16 miles then the boat heading East has only traveled 4 miles.
Write the product using exponents.
Answer:
3^4
Step-by-step explanation:
because I took the test
8 3/4 - 5 2/3 what is the answer
Answer:
3 1/12
Step-by-step explanation:
Pls helppp!
9 years ago, when Miko celebrated her birthday with her family, the ratio of the age of Miko to Miko's sister was 5 : 7. This year, the ratio of the age of Miko to Miko's sister is 4 : 5. How old is Miko now?
In a right-angled triangle, the sum of the squares of the three sides is 72. What is the length of the hypotenuse?
Answer:
The hypotenuse has a length of 6
Step-by-step explanation:
Remark
The first step is to create the 2 equations needed to solve this problem.
Then substitute one into the other.
Equations
c^2 + a^2 + b^2 = 72
c^2 = a^2 + b^2
Solution
c^2 + a^2 + b^2 = 72 The sum of the sides each squared of a right triangle = 72
c^2 = a^2 + b^2 The pythagorean theorem says the hypotenuse of the right triangle = the sum of the squares of two smaller sides. You can substitute the hypotenuse squared into the top equation for a^2 + b^2
c^2 + c^2 = 72
2c^2 = 72
c^2 = 36
c = 6. minus 6 is meaningless
If 10^2y = 25, then 10^-y equals:
(a) -1/5
(b) 1/625
(c) 1/50
(d) 1/25
(e) 1/5
[tex]10 ^{2y} = 25[/tex]
to find:[tex] {10}^{y} = .......[/tex]
solution:[tex]10 ^{2y} = 25[/tex]
[tex] (10y {)}^{2} = {5}^{2} [/tex]
[tex]10y = 5[/tex]
[tex] \frac{1}{ {10}^{y} } = \frac{1}{5} [/tex]
[tex] {10}^{ - y} = \frac{1}{5} [/tex]
therefore, the correct answer is option E.
the correct option is option e.
hope this helps you
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