Answer:
30
Step-by-step explanation:
The mean is equal to the number of trials times the probability.
x = (3/10) (100)
x = 30
We expect to draw a pink marble 30 times.
Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each box. At the end of the week there were 20 tins left on the shelf. The rest of the tins had been sold. Write the number of boxes of cat food that had been sold, as: (a) A mixed number (b) An improper fraction
Answer:
(a) [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Step-by-step explanation:
From the question,
Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,
5 × 15 tins of cat food were stacked onto the empty shelf.
5 × 15 = 75
Hence, 75 tins of cat food were stacked onto the empty shelf.
Also, from the question,
At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is
75 - 20 tins had been sold
75 - 20 = 55
Hence, 55 tins of cat food had been sold.
To determine the number of boxes of cat food that had been sold,
Since there are 15 tins of cat food per box, then
we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box
55 ÷ 15 = [tex]\frac{55}{15}[/tex]
Hence, [tex]\frac{55}{15}[/tex] boxes of cat food had been sold
(a) As a mixed number
[tex]\frac{55}{15} = 3\frac{2}{3}[/tex]
Hence, [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) As an improper fraction
[tex]\frac{55}{15} = \frac{11}{3}[/tex]
Hence, [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
y=-7x+6 in standard form. I’ll give brainliest. Hurry pls
Answer:
7x+y=6
Step-by-step explanation:
trust
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 26 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. A button hyperlink to the SALT program that reads: Use SALT. (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. % (b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months
Answer:
a
[tex]P(X < 24 )= 21.186\% [/tex]
b
[tex]x = 19.78 \ months[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 26 \ months[/tex]
The standard deviation is [tex]\sigma = 4 \ months[/tex]
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as
[tex]P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
[tex]P(X < 24 )= P(Z < -0.8 )[/tex]
Generally from the z-table
[tex]P(Z < -0.8) = 0.21186[/tex]
So
[tex]P(X < 24 )= 0.21186[/tex]
Converting to percentage
[tex]P(X < 24 )= 0.21186 * 100[/tex]
=> [tex]P(X < 24 )= 21.186\% [/tex]
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as
[tex]P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06[/tex]
=> [tex]P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06[/tex]
From the normal distribution table the z-score for 0.06 at the lower tail is
[tex]z = -1.555[/tex]
So
[tex]\frac{x - 26}{4} = -1.555[/tex]
=> [tex]x = 19.78 \ months[/tex]
You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?
Answer:
Your pay at the end of the these two weeks will be $1,375
Step-by-step explanation:
In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.
In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:
20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550
In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:
30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825
Then your salary at the end of these two weeks is calculated by:
Payment of the first week + Payment of the second week
$550 + $825 = $1,375
Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:
hours= number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars= number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 carsThen your salary at the end of these two weeks is calculated by:
50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375
Note that either way you get the same result.
Your pay at the end of the these two weeks will be $1,375
Look at the picture to see question plz help quickly and step by step
Answer: 16.6
Step-by-step explanation:
Identify the domain of these ordered pairs from least to greatest:
Answer:
(0,5)
Step-by-step explanation:
you are supposed to take the lowest and highest numbers of the x values and then that would be your domain
Libby bought three shirts that cost $6.79, $11.08, and $8.95. How much did all three shirts cost
Answer:
$26.82
Step-by-step explanation:
It's just simple addition really. You start with adding 6.79 and 11.08 to get 17.87 and then add 8.95 to 17.87 to get 26.82. Hope this helps.
PLZ ANSWER THE QUESTION 50 POINTS!!!!!!!
(-4,3) m=2 make this in point slope form
Answer:
y-3=2(x-(-4))
Or
y-3=2(x+4)
Step-by-step explanation:
Charlie and Kathy want to borrow $21254 to make some home improvements. Their bank will lend them the money for 9 years at an interest rate of 5.07%. How
much will they pay in interest?
Answer:
$ 9698 will be paid paid in interest. hope this helps.
Step-by-step explanation:
interest= prn/100
i= 21254x9x5.07/100
i= $ 9698.2
can somebody help me pleaseee ?? it’s due soon & im stuck .
Answer:
a. lenqth=32 , width=2
b. m∠p=100 m∠Q=50 m∠R=30
c. XY=20 YZ=12
d.m∠1=90 m∠2=90
Step-by-step explanation:
a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,
1 AND 64 (this answer is suitable but it's better to choose another
one if available for more accuracy)
2 AND 32 (this is a good answer to use)
4 AND 16 (this one already used in the question)
8 AND 8 (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)
SO we will choose 2 AND 32 for the answer and we can put them in any order we want.
b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.
I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).
c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.
d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.
HELP ASAP
Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.
Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
A restaurant charged Ms. Smith $120 for dinner,
while at dinner she met with a friend and they had a
great conversation about the 25 animals at the zoo.
When dinner was over she left a 15% tip. How much
was the tip amount?
help = brainleist
please help
Answer:
The answer is D
Step-by-step explanation:
Hope this helps
please mark as brainlist
When dividing fractions, like 1/5 divided by 3/4 what do we do?
Answer:
we cry bc math is hard JKK unless ?
but fr we can write out an equation by doing (1/5 ÷ 3/4) and then switch the sign to multiplication and we can keep the first fraction the same (in this case 1/5) and then we flip the second fraction BUT when we flip the second fraction upside-down we have to change the symbol to multiplication (1/5x4/3)
then after that all we do is multiply the denominators and numerators :)
1 x 4 = 4
_______
5 x 3 = 15
answer would be 4/15
A fraction is a way to describe a part of a whole. The result of the division of the fraction is 4/15.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The division of two fractions is carried out by multiplying the dividend fraction(Numerator) by the reciprocal of the divisor fraction(Denominator).
The divisions of the given fractions are carried out as shown below.
1/5 ÷ 3/4
[tex]=\dfrac{\dfrac{1}{5}}{\dfrac{3}{4}}\\\\\\= \dfrac{1 \times 4}{5 \times3}\\\\=\dfrac{4}{15}[/tex]
Hence, the result of the division of the fraction is 4/15.
Learn more about Fraction here:
https://brainly.com/question/1301963
#SPJ2
what is the answer to 6y * 88 = 88 * 6y
Answer:
0 or No solutions
Step-by-step explanation:
hope this helps!
can someone help me x -y =1
and can yall explain how you solved it
Answer:
x = 1 + y
Step-by-step explanation:
add y to both sides, and that is basically it
If f(x) = -2 cos x, findf(-300 º). Do not use a calculator.
Answer:
- 1
Step-by-step explanation:
Using the trigonometric identity
cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]
Given
f(x) = - 2cosx , then
f(- 300° )
= - 2cos(- 300)°
= - 2cos(300)°
= - 2cos(360 - 300)°
= - 2cos60°
= - 2 × [tex]\frac{1}{2}[/tex]
= - 1
A ferris wheel can accommodate 70 people in 20 minutes; how many people could ride the ferris wheel in 4 hours?
Proportional Question
Answer:
840
Step-by-step explanation:
if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840
The volume, V, of a certain gas varies inversely with the amount of pressure, P. placed on it. The volume of this gas is 175
cm' when 3.2 kg/cm² of pressure is placed on it. What amount of pressure must be placed on 400 cm' of this gas?
2.86 kg/cm2
1.31 kg/cm?
7.31 kg/cm2
1.40 kg/cm2
Answer:
1.3 kg/cm
Step-by-step explanation:
What is the solution to 4 x + 6 less-than-or-equal-to 18?
help
<3
Answer:
x is less-than-or-equal to 3
Step-by-step explanation:
4(3)+6 =18
Which equation in standard form has a graph that passes
through the point (-5,11) and -2.5 is the slope.
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?
Answer:
315
Step-by-step explanation:
5 x 7 = 35
280 + 35 = 315
There sth answer
Answer:7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
hope this help btw i am 12
Step-by-step explanation:
Find the distance between V (4.4) and X (5.8). Round to the nearest tenth, if necessary. about units
Answer:
V= 5 X=6
Step-by-step explanation:
what is the siope of a line that passes through the points (2, 3) and (4.-12)?
Answer:
-7.5
Step-by-step explanation:
i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.
Answer:
Hello
Step-by-step explanation:
by what i understood the awnser should be c
You need at least 30 cubic feet of sand to fill a sand box. Each box contains 2.5 cubic feet of sand. Write and solve an inequality that represents the number of bags “b” that you need to buy
Answer:
2.56 = 30
b = 12
(Sorry if I’m wrong! I speeded on it.)
Step-by-step explanation:
A 20 gallon tank is full. How many gallons are in the tank?
Answer:
20???
Step-by-step explanation:
Two different linear functions are shown below with two points given from each function Use slope-intercept form Function A has The equation of line A is or point-slope form to find the equation of each.
Linear Function A
Points : (-5, -2), (-5, 7)
Linear Function B
Points : (7, -5), (-2, -5)
Which is true about the following:
1. Function A has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
2. The equation of line A is :
A: X= -5
B: Y= -5
C: X= -2
D Y= 7
Function B has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
The equation of Line B is :
A: X= -5
B: Y= -5
C: X= -2
D: Y= 7
Answer:
This answer is option 1
Step-by-step explanation:
The awnser is No slope,x=-5,A slope of 0,and y=-5
do you guys know this by any chance
Answer:
[tex]10^{17}[/tex]
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
1+2x6+7= -13
where do i have to put the parenthesis so its correct
Answer:
you have to but it back 2 times
Step-by-step explanation:
ir is because it should be back 2 rimes