Answer:
Kindly check explanation
Step-by-step explanation:
Kilogram of flour needed to complete holiday order is atleast 175kg
Number of kilograms available = 34kg
Flour comes in bags each contain 23kg of flour
He wants to buy the smallest number of bags as possible and get the amount of flour he needs.
Let F = number of bags of flours Sergei needs to buy
F = (total number of kilograms needed - number of kilograms available) / kilograms per bag
F = (≥ 175 - 34) / 23
F = ≥ 141 / 23 = ≥ 6.1304347
Since flour is purchased per bag, the smallest number of bags he can possibly buy and still get the amount of flour he need = 7 bags
The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year, this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5 respectively. Taking the Initial cost of the electrical gadget to be GHÇp Calculate the value of p and q
Answer
p/q = 8/6
Make p the subject
p = 8q/6........equation 1
This year the price was reduced by 4
p-4/q-4 = 7/5
Cross multiple
5(p-4) = 7(q-4)
5p-20 = 7q-28
5p - 7q = -8 .......equation 2
Sub 8q/6 for p in equation 1
5(8q/6) - 7q = -8
Multiply through by 6
40q-42q=-48
-2q=-48
q=24
Sub 24 for q in equation 1
p= 8(24)/6
p= 192/6
p= 32.....
Check the answer for confirmation.
Thanks.
730,000,000 in scientific notation.
Answer:
7.3×10^8
Step-by-step explanation:
Hi
scientific notation mean the answer is of the form x *10^y
where x ∈ [1; 10[ and y ∈ Z
so 730 000 000 is 7.3 * 10^8
A tap leaks at the rate of 2cm³ per second.How long will it take the tap to fill a container of 45litres capacity.
Answer:
6 hours 15 minutes
Step-by-step explanation:
1 litre = 1000cm³
45 litres = 45000cm³
Volume = rate × time
45000 = 2 × t
t = 22500 secs
= 375 mins
BRAINLIEST PLEASE
All time values listed above are equivalent, so you only need to pick one value to write as the answer.
======================================================
Work Shown:
1 liter = 1000 cubic cm
45 liters = 45*1000 = 45000 cubic cm
The container has a capacity of 45000 cubic cm
It will take 45000/2 = 22500 seconds to fill the container since the rate is 2 cubic cm per second.
-----------------
Convert from seconds to minutes
22500 seconds = (22500)*(1 min/60 sec)
22500 seconds = (22500/60) min
22500 seconds = 375 min
-----------------
Convert to hours
375 min = (375)*(1 hr/60 min)
375 min = (375/60) hr
375 min = 6.25 hr
----------------
Converting to hours,minutes
6.25 hr = 6 hr + 0.25 hr
6.25 hr = 6 hr + (0.25*60) min
6.25 hr = 6 hr + 15 min
6.25 hr = 6 hr, 15 min
Do we ever use numbers to describe the values of a categorical variable?
Answer:
Yes
Step-by-step explanation:
Because A categorical variable can bexpressed as a number when statistical evaluation is intended, However, these numbers do not mean the same as a numerical value e.g giving numbers to waist sizes, test scores, grade level etc
Refer to the accompanying TI-83/84 Plus calculator display of a 95% confidence interval. The sample display results from using a simple random sample of the amounts of tar (in milligrams) in cigarettes that are all king size, non-filtered, non-menthol, and non-light. Express the confidence interval in the format of E.
(23.305,25.075)
mean = 23.69
n = 30
The confidence interval is__?__ + or -___?___.
Answer:
[tex]22.805 < \mu < 24.575\\[/tex]
Step-by-step explanation:
Given parameters
Z interval E = (23.305,25.075)
mean xbar = 23.69
number of samples n = 30
Required
we are to find the confidence interval for the Z interval given.
The formula for finding the confidence interval is expressed as shown below;
[tex]\overline x - E < \mu < \overline x + E[/tex] where;
xbar is the mean = 30
E is the margin of error
[tex]E = \frac{U-L}{2}[/tex]
U = upper limit = 23.305
L = lower limit = 25.075
[tex]E = \frac{25.075-23.305}{2}\\E = \frac{1.77}{2}\\E = 0.885[/tex]
The confidence interval is therefore expressed as [tex]23.69 - 0.885 < \mu < 23.69+ 0.885\\22.805 < \mu < 24.575\\[/tex]
Hence the confidence interval is expressed as [tex]22.805 < \mu < 24.575\\[/tex]
MAAM or SIR I AM FACING PROBLEM TO SOLVE THESE QUESTION WOULD YOU HELP ME WITH IT
Answer:
1. Kate travelled more by 83.87km 2. = 42.5, 85 3. a= 2570 b= 348.9 c= 0.0048 d= 0.765 4. = 15.25
Step-by-step explanation:
1. 320.25km- 236.38km = 83.87km.
2. 8.5x5= 42.5, 8.5x10 = 85.
3. a= 2570 b= 348.9 c= 0.0048 d= 0.765
4. 17.75- 2.5 = 15.25.
hope you found this helpful :)
X^2-2x-48
Factor the polynomial
Answer:
x=1
x=-6
Step-by-step explanation:
I used my ti-84 plus ce calculator and that is the answer I got
>download quadsolv
>prgm
>quadsolv
>enter the equation
>solve
Answer:
= (x + 6) (x - 8)
Step-by-step explanation:
x² - 2x - 48
break the expression into groups:
= (x² + 6x) + (-8x - 48)
= x (x + 6) - 8(x + 6)
= (x + 6) (x - 8)
The Laurier Company’s brand has a market share of 30%. Suppose that 1,000 consumers of the product are asked in a survey which brand they prefer. What is the probability that more than 32% of the respondents say they prefer the Laurier brand?
Answer:
The probability is
[tex]P(Z>1.3793 ) = 0.083901[/tex]
Step-by-step explanation:
From the question we are told that
The proportion proportion is [tex]p = 0.30[/tex]
The sample size is [tex]n = 1000[/tex]
The sample proportion [tex]\r p = 0.32[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{p (1 - p)}{ n} }[/tex]
[tex]SE = \sqrt{\frac{ 0.30 (1 - 0.30 )}{ 1000} }[/tex]
[tex]SE = 0.0145[/tex]
The probability that more than 32% of the respondents say they prefer the Laurier brand is mathematically represented as
[tex]P(X > 0.32 ) = P( \frac{X - p }{ SE} > \frac{\r p - p }{ SE} )[/tex]
Here [tex]\frac{X - p }{SE} = Z (the \ standardized \ value \ of \ X)[/tex]
[tex]P(X > 0.32 ) = P(Z>1.3793 )[/tex]
From the z -table [tex]P(X > 0.32 ) = P(Z>1.3793 ) = 0.083901[/tex]
[tex]P(Z>1.3793 ) = 0.083901[/tex]
Using the normal distribution and the central limit theorem, it is found that there is a 0.0838 = 8.38% probability that more than 32% of the respondents say they prefer the Laurier brand.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex].In this problem:
The Laurier Company’s brand has a market share of 30%, hence [tex]p = 0.3[/tex]1,000 consumers are asked, hence [tex]n = 1000[/tex].Then, the mean and the standard error are given by:
[tex]\mu = p = 0.3[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.3(0.7)}{1000}} = 0.0145[/tex]
The probability that more than 32% of the respondents say they prefer the Laurier brand is 1 subtracted by the p-value of Z when X = 0.32, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.32 - 0.3}{0.0145}[/tex]
[tex]Z = 1.38[/tex]
[tex]Z = 1.38[/tex] has a p-value of 0.9162.
1 - 0.9162 = 0.0838
0.0838 = 8.38% probability that more than 32% of the respondents say they prefer the Laurier brand.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
Solve: -3= 12x - 5(2x - 7)
X = -19
19
71 =
=-11
10
11
I= 19
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 19}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 3 = 12x - 5(2x - 7)}[/tex]
Distribute 5 through the parentheses
⇒[tex] \sf{ - 3 = 12x - 10x + 35} [/tex]
Collect like terms
⇒[tex] \sf{ - 3 = 2x + 35}[/tex]
Swap the sides of the equation
⇒[tex] \sf{2x + 35 = - 3}[/tex]
Move 45 to right hand side and change it's sign
⇒[tex] \sf{2x = - 3 - 35}[/tex]
Calculate
⇒[tex] \sf{2x = - 38}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2x}{2} = \frac{ - 38}{2} }[/tex]
Calculate
⇒[tex] \sf{x = - 19}[/tex]
Hope I helped!
Best regards!!
Which Excel function will give the p-value for overall significance if a regression has 75 observations and 5 predictors and gives an F test statistic Fcalc = 3.67?
Answer:
The excel function that will gibe the p-valur for overall significance of a regression has 75 observations and 5 predictors and gives an F test statistic FCal = 3.67 is given below:
F.DIST.RT(3.67,5.69)
Two hoses are filling a pool the first hose fills at a rate of x gallons per minute the second hose fills at a rate of 15 gallons per minute less than the first hose.
Answer:
B. (0, 5]∪(15,30] only (15,30] contains viable rates for the hoses.
Step-by-step explanation:
The question is incomplete. Find the complete question in the comment section.
For us to meet the pool maintenance company's schedule, the pool needs to fill at a combined
rate of at least 10 gallons per minute. If the inequality represents the combined rates of the hoses is 1/x+1/x-15≥10 we are to find all solutions to the inequality and identifies which interval(s) contain viable filling rates for the hoses. On simplifying the equation;
[tex]\frac{1}{x} + \frac{1}{x-15} \geq \frac{1}{10}\\\\ find\ the \ LCM \ of \ the function \ on \ the \ LHS\\\\\frac{x-15+x}{x(x-15)} \geq \frac{1}{10}\\\\\frac{2x-15}{x(x-15)} \geq \frac{1}{10}\\\\10(2x-15)\geq x(x-15)\\\\20x-150\geq x^2-15x\\\\collect \ like \ terms\\-x^2+20x+15x - 150\geq 0\\[/tex]
[tex]-x^2+35x-150 \geq 0\\\\multipply \ through \ by \ minus\\x^2-35x+150 \leq 0\\\\(x^2-5x)-(30x+150) \leq 0\\\\x(x-5)-30(x-5) \leq 0\\\\[/tex]
[tex](x-5)(x-30) \leq 0\\\\x-5 \leq 0 and x - 30 \leq 0\\\\x \leq 5 \ and \ x \leq 30[/tex]
The interval contains all viable rate are values of x that are less than 30. The range of interval is (0, 5]∪(15,30]. Since the pool needs to fill at a combined rate of at least 10 gallons per minute for the pool to meet the company's schedule, this means that the range of value of gallon must be more than 10, hence (15, 30] is the interval that contains the viable rates for the hoses.
For this item, any answers that are not whole numbers should be entered as a decimal, rounded to the tenths place. In the figure below, line AB, line CD, and line EF intersect at point Q. Line AB is perpendicular to line CD. Complete the following equations.
x =
m∠CQF =
m∠AQE =
Answer:
[tex] x = 10 [/tex]
m<CQF = 32°
m<AQE = 32°
Step-by-step explanation:
m<CQB = m<CQA = 90° (right angle)
m<CQB = m<CQF + m<FQB
m<CQF = 3x + 2
m<FQB = 58°
Therefore,
[tex] 90 = 3x + 2 + 58 [/tex]
Solve for x:
[tex] 90 = 3x + 60 [/tex]
[tex] 90 - 60 = 3x + 60 - 60 [/tex]
[tex] 30 = 3x [/tex]
[tex] \frac{30}{3} = \frac{3x}{3} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
m<CQF = 3x + 2
Plug in the value of x to find m<CQF
m<CQF = 3(10) + 2 = 30 + 2
m<CQF = 32°
m<CQF and m<AQE are vertical opposite angles, therefore, they are congruent.
Thus,
m<AQE = 32°
Answer:
x = 10
m∠CQF = 32
m∠AQE = 58
Step-by-step explanation:
The distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds can be modeled by the graph below. Which equation is represented in the graph below? On a coordinate plane, a curve crosses the y-axis at (0, negative 5). It increases to (1, 5) and then decreases to (2, negative 5). 5 cycles are shown.
The travel of the spring is it’s amplitude, which is a cosine function.
The lowest y value is -5
Multiply that by cosine of pi x time
The formula is d = -5cos(pi t)
The equation d = -5cos(πt) modeled the distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
The distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t.
We know the cosine equation for distance d:
d = acos(bt+c) + d
From the graph: a = -5, b = π
Assume the phase and vertical shift are zero.
c = 0 and d = 0
Plug all values in the function, the equation becomes:
d = -5cos(πt)
Thus, the equation d = -5cos(πt) modeled the distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds.
Learn more about trigonometry here:
brainly.com/question/26719838
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A student is growing two plants for a science experiment. Each plant was a different height at the start of the experiment. Plant A was given only water and plant B was given water and food. The system of equations show how the heights of the plants, y, in inches have change over x weeks. Plant A: y = 8 + ½ x Plant B: y = 4 + (5/4) x
Answer:
A: 12.5 per week B= 12.75
Step-by-step explanation:
1/2 times 7 (days in a week) is 3.5. So A is 8+3.5=12.5. 7 times 5/4 is 8.75. So B is 4+8.75=12.75
A kayaker moves 32 meters northward, then 6 meters
southward, and finally 16 meters northward.
For this motion, what is the distance moved?
Answer:
distance moved by kayaker is 54m
The cafeteria sells each apple at one price and each banana at another price. For 5 apples and 3 bananas Dan pays $5.70. For 3 apples and 5 bananas Chris pays $4.70. The price of one apple is how much more then the price of one banana, in cents?
Answer:
50
Step-by-step explanation:
a = # of apples
b = # of bananas
5a + 3b = 570
3a + 5b = 470
Solve with substitution or elimination. To solve by elimination, multiply the first equation by 5 and the second equation by 3.
25a + 15b = 2850
9a + 15b = 1410
Subtract:
16a = 1440
a = 90
Plug into either equation to find b.
5(90) + 3b = 570
450 + 3b = 570
3b = 120
b = 40
So apples are 90 cents, and bananas are 40 cents. Therefore, apples are 50 cents more than bananas.
Given: A = {(2, 3), (5, 1), (-3, -2), (0, 3)} What is the range of A?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 2 \: , \: 1 \: , \: 3 \: }}}}}[/tex]
Step-by-step explanation:
Given,
A = { ( 2 , 3 ) , ( 5 , 1 ) , ( -3 , -2 ) , ( 0 , 3 )
To find : Range
Range are set of all y - co-odinates.
So, Range = { - 2 , 1 , 3 }
Hope I helped!
Best regards!!
Answer:
(-2,1,3)
Step-by-step explanation:
ODY 2022
Suppose that a defined population is all men who are 50 or younger, and a survey is being conducted. Which of these is an example of selection bias? A. Excluding men over 50 from the selection process of the survey B. Including men under 30 in the selection process of the survey C. Excluding men under 30 from the selection process of the survey
Answer: C
Step-by-step explanation:
Excluding men under 30 from the selection process of the survey makes it bias because all mean 50 or younger are supposed to be included.
If s(x) = x - 7 and t(x) = 4x2 – x + 3, which expression is equivalent to
to (t•s )(x)?
Answer:
(t•s )(x) = 4x^3 - 29x^2 + 10x - 21
Step-by-step explanation:
(t•s )(x) is the product of functions s and t:
(t•s )(x) = ( 4x^2 - x + 3)(x - 7). Applying the Distributive Property of Multiplication, we get:
(t•s )(x) = 4x^3 - 28x^2 - x^2 + 7x + 3x - 21
which needs to be simplified by combining like terms:
(t•s )(x) = 4x^3 - 29x^2 + 10x - 21
What is a square matrix
Answer:
A square matrix is a matrix with the same number of rows and columns.
Step-by-step explanation:
In mathematics, a square matrix is a matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order. Any two square matrices of the same order can be added and multiplied. Square matrices are often used to represent simple linear transformations, such as shearing or rotation.
A race car is traveling at a constant speed of 150 miles per hour. How many feet does it travel in 5seconds
Answer:
1100 ft
Step-by-step explanation:
1 mile per hour is equivalent to 22 ft in 15 seconds, so we can convert the speed to distance using ...
distance = speed × time
distance = (150 mi/h) (22/15 ft/s)/(1 mi/h) (5 s) = (150·22·5)/15 ft = 1100 ft
The car travels 1100 feet in 5 seconds.
(c) Find the exact values of s and t.
Answer:
u have to use cos san and tan?
i think sorry if im wrong
Step-by-step explanation:
Ingredients for 16 brownies:
2/3 cup butter, 5 ounces unsweetened chocolate, 1 and 1/2 cups sugar, 2 teaspoons vanilla, 2 eggs, 1 cup
How much of each ingredient is needed to make 12 brownies?
Answer:
1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, 3/2 eggs, and 3/4 cups flour.
Step-by-step explanation:
There are several ways to solve this, I like using proportions.
(You could also find 3/4 of every ingredient since 12 is 3/4s of 16)
We can do this by temporarily naming the amount of each ingredient a variable, and then using the proportion to find the variable.
Note that in a given proportion such as:
a/b=c/d
will always equal
a*d=b*c
This is known as cross multiplying.
For each ingredient I'm going to set up the following proportion:
[tex]\frac{amount of given ingredient in 16 brownies}{16 (number of brownies)} = \frac{variable (amount of given ingredient in 12 brownies}{12 (new number of brownies)}[/tex]
Now we can start setting up proportions for every ingredient.
Butter:
(2/3)/16=b/12
(2/3)(12)=16b
8=16b
b=1/2
Chocolate:
5/16=c/12
60=16c
c=60/16
c=15/4
Sugar:
(3/2)/16=s/12
(3/2)(12)=16s
18=16s
s=18/16
s=9/8
Vanilla:
2/16=v/12
24=16v
v=24/16
v=3/2
Eggs:
2/16=e/12
24=16e
e=3/2
Flour:
1/16=f/12
12=16f
f=3/4
Therefore, the ingredients for 12 brownies would be:
1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, 3/2 eggs, and 3/4 cups flour.
Refer to Exercise probabilities. Find the following probabilities.
a. Two heads
b. One head
c. At least one head
d. At least two heads
Required:
Draw a probability tree to describe the flipping of three fair coins.
Answer:
Step-by-step explanation:
Probability is defined as the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
probability = n{E}/n{S}
n(E) is the total number of events
n{S} is the total number of sample space.
For a coin that is tossed 3times, the possible outcome are:
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
The total number of sample space is n(S) = 2³ = 8
n{S} = 8
a) probability of getting two heads.
Events E = {HHH, HHT, HTH, THH}
n(E) = 4
Pr(getting two heads) = 4/8 = 1/2
b) probability of getting one head.
Events E = {HTT, THT, TTH}
n(E) = 3
Pr(getting one head) = 3/8
c) probability of getting at least one head means probability of getting 1 head and more but not less than a head.
Events E = {HHH, HHT, HTH, HTT, THH, THT, TTH}
n(E) = 7
Pr(getting at least one head) = 7/8
d) probability of getting at least two heads means probability of getting 2 head and more but not less than 2 head.
Events E = {HHH, HHT, HTH, THH}
n(E) = 4
Pr(getting at least two head) = 4/8 = 1/2
Find the tree diagram in the attachment below.
I screenshot the question.
Answer:
17 34
24 58
31 89
38 127
45 172
52 224
59 283
62 345
69 414
76 490
83 573
Step-by-step explanation:
Filling up the chart, you will get 227 at the 15 score mark. (You can just continuously add)
Then at the final answer you add the results to total pushups you get 573.
There is a faster way to do this using a formula, but probably will go over your head.
Identify the slope and line intercept for y = 3x + 1
Answer:
Intercept - 1
Slope - 3
Step-by-step explanation:
in y=mx+b
m is the slope and b is the y intercept
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 46 and a standard deviation of 3. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 43 and 49
Answer:
P( 43 ≤ X ≤ 49) = 0.9545
Step-by-step explanation:
We are given mean of 46 and a standard deviation of 3
We want to find the percentage of daily phone calls numbering between 43 and 49. This can be written as;
P( 43 ≤ X ≤ 49)
Using the z-formula, we have;
z = (x - μ)/s
This transforms to;
P((43 - 46)/3)) ≤ Z ≤ ((49 - 46)/3))
This gives;
P(-2) ≤ Z ≤ P(2)
From z - table attached, P(-2) = 0.02275 and P(2) = 0.97725
Thus;
P( 43 ≤ X ≤ 49) = 0.97725 - 0.02275
P( 43 ≤ X ≤ 49) = 0.9545
The surface area of a cube is 96 cm2. What is The volume of the cube in cm3
Answer:
64
Explination:
4 is the length of one side because 96/6(the ammount of faces)=16 and the square root of 16 is 4 and since the area of a cube is one side^3 this is the answer
Remember to mark brainliest
Which measurement is closet to the total surface area of the triangular prism in square centimeters?
Answer:
Step-by-step explanation:
mxcm w dhvhhhvhhjjjbvgvhn jnjjhvghcghyjbvcchgvukchgcgvmbmhc
Marlene is given 7 feet of fabric to design a dress. She uses 6 feet of fabric. How much fabric is left?
Answer:
Amount of fabric left = 1 ft
Step-by-step explanation:
Given:
Amount of fabric Marlene had = 7 ft
Amount of fabric Marlene used = 6 ft
Find:
Amount of fabric left
Computation:
Amount of fabric left = Amount of fabric Marlene had - Amount of fabric Marlene used
Amount of fabric left = 7 ft - 6 ft
Amount of fabric left = 1 ft