There are 5,000 nails in five boxes. The first and second boxes have 2,700 nails altogether. The second and third boxes have 2,000 nails altogether. The third and fourth boxes have 1,800 nails altogether. The fourth and fifth boxes have 1,700 nails altogether. How many nails are in each box
Purchases of both small and large boxes total:
two little boxes.
six huge boxes
Two equations must be created with the given data in order to answer the unknowns:
150X + 400Y = 2700 (the price of the boxes and the total number of nails, where X is the small boxes and Y the large boxes)
Y = 3X
Equation one is then changed to equation 2, and variable X is eliminated:
150X + 400 (3X) = 2700
150X + 1200X = 2700 1350X = 2700 X = 2700/1350 X = 2
In order to determine the number of big boxes, equation 2's value of X is finally changed:
Y = 3X
Y = 3
Y = 6
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5. Please help and snow work
Answer:
-177
Step-by-step explanation:
Plug in the values into the equation.
-q(9)^2-(-6)^2+3(-20)
-81-36-60=-177.
the temperature was 75 degrees. at noon, the temperature increased by 7. by evening the temperature decreased by 7
Answer:
75
Step-by-step explanation:
75 + 7 = 82
82 - 7 = 75
Is the power set of {2,3,4,5} a subset of the power set of {1,2,3,4,5,6}? Why or why not?
we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.
We are given a power set:
A = {1, 2, 3, 4, 5, 6}
We are also given another power set:
B = {2, 3, 4, 5}
We need to tell if B is a subset of A or not.
We can see that every element of B is a part of A as well.
So, we can say that B is a subset of A.
B ⊂ A
{2, 3, 4, 5} ⊂ {1, 2, 3, 4, 5, 6}
Therefore, we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.
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A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0: μ = 12 against H1: μ < 12, using a random sample of four specimens. (a) What is the type I error probability if the critical region is defined as x < 11.5 kilograms? (b) Find β for the case in which the true mean elongation is 11.25 kilograms. (c) Find β for the case in which the true mean is 11.5 kilograms.
The Type I error's computed value is 0.02275 and The Type II error has a computed value of 0.50 based on probability.
What is probability?
The potential or opportunity of an event happening is known as probability. The probability is equal to the variety of possible outcomes. the estimated number of outcomes that could occur.(a) Type I error probability if the critical region is defined as x < 11.5 kilograms
[tex]P(Type\ Error)=P\ xbar < 11.5\ when\ mu=12)\\\\[/tex]
[tex]=P(Z < \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z < -2)\\\\=0.02275[/tex]
The Type I error's computed value is 0.02275.
Observe that there is a 2.275% likelihood of dismissing the null hypothesis if it is true based on the Type I error probability.
(b) β for the case in which the true mean elongation is 11.25 kilograms.
[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]
[tex]=P(Z \geq \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 1)\\\\= 1-P(Z < 1)\\\\=1-0.8413\\\\=0.1587[/tex]
The Type II error's computed value is 0.1587.
Observe that there is a 15.87% possibility of refusing to disprove the null hypothesis when it is untrue based on the Type II error probability.
(c) β for the case in which the true mean is 11.5 kilograms.
[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]
[tex]=P(Z \geq \frac{11.5-11.5}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 0)\\\\= 1-P(Z < 0)\\\\=1-0.50\\\\=0.50[/tex]
The Type II error has a computed value of 0.50.
Observe that there is a 50% possibility of neglecting to disprove the null hypothesis when it is untrue based on the Type II error probability.
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What percent of 32 is 4?
A 12.5%
B 1.28%
of 32 is 4?
C 0.125%
D 8%
Answer:
A
Step-by-step explanation:
12.5% is 4 of 32. Devide 4 by 32 you get the 0125
Answer:
A 12.5%
Step-by-step explanation:
let p be the percentage that 4 represents.
[tex]32\longrightarrow 100 \%\\4 \longrightarrow \text{p} \%[/tex]
Then
[tex]p=\frac{4}{32} \times 100[/tex]
[tex]= 0.125 \times 100[/tex]
[tex]=12.5[/tex]
What is the area? 7 yd 6 yd
Answer:
Brainliest pls
Step-by-step explanation:
42sq yds
Brand Y Cola sponsors a survey of 15,559 residents of Texas to determine which brand of cola they prefer. Forty percent say they prefer Brand X, and 60 percent say they prefer Brand Y. Which of the following is the sample used for the survey ?
Answer:
6224 Brand X residents and 9335 Brand Y residents
Step-by-step explanation:
Total number of residents in the survey=15559
Residents that prefer Brand X=40%
Residents that prefer Brand Y=60%
Population sample?
Residents that prefer Brand X= 40/100 ×15559 =6223.6⇒6224 residents
Residents that prefer Brand Y= 60/100 × 15559 =9335.4⇒⇒9335 residents
Answer: B
Step-by-step explanation:
A muffin recipe calls for one 3rd cup of milk and one 4th cup of oil how much liquid is needed for the recipe?
You work in a nursery with
20 children aged 3 - 5 years.
Your current room size is
415m² and does not meet
floor space requirements.
The room needs to increase
in size by 11%.
How big should the room
be?
Answer:
The room should be 460.65 [tex]m^{2}[/tex].
Step-by-step explanation:
First, you have to convert the percentage to a fraction.
11% = 0.11
Then add one to that number.
0.11 + 1 = 1.11
Multiply the number with the original room size.
415 * 1.11 = 460.65 ([tex]m^{2}[/tex])
Multiply (-1 13/14) x (1 5/9) what is the product? enter your answer in the box
Answer: -3
Step-by-step explanation:
turn mixed numbers into improper fractions, simplify, and solve- see attached
Answer:
-3
Step-by-step explanation:
to find the answer first turn both numbers into improper fractions
-1 13/14 becomes -27/14
1 5/9 becomes 14/9
now multiply them
[tex]\frac{-27}{14} * \frac{14}{9}[/tex]
you can cancel out the 14s
[tex]\frac{-27}{1} * \frac{1}{9}[/tex]
now divide 9 to the top of the first fraction and to the bottom of the second one
[tex]\frac{-3}{1} * \frac{1}{1}[/tex]
now multiply
-3/1 is your answer
that is basically -3
The posts of a hockey goal are 6 ft. apart. A player attempts to score by shooting the puck from a
point that is 19 ft from one post and 24 ft from the other post. Within what angle & must the shot be
made? Express your answer to the nearest degree.
The angle at which the shot was made should be 17.53° degrees.
Let C denote the point where the player attempts to put in a goal.
Let A and B denote the two goalposts.
We are given the posts of a hockey goal are 6 ft apart.
The distance between the player and one goalpost is 19 ft.
The distance between the player and the other goalpost is 24 ft.
Then, we have AC = 19 ft, BC = 24 ft, and AB= 6 ft.
Refer to the diagram.
Let θ be the angle made when trying to shoot the goal towards goalpost A.
Then we have tan(θ) = 6/19
⇒ θ = 17.53° degrees.
Therefore, the angle at which the shot was made should be 17.53° degrees.
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Simplify the given expression. Write your answer with positive exponents.
(x^-4/ y^3)^-7
Step-by-step explanation:
(x^-4 / y³)^-7 = x²⁸ / y^-21 = x²⁸ / 1/y²¹ = x²⁸y²¹
i need to find X i really dont feel like doing this
Answer:
x=80 degrees
Step-by-step explanation:
Since the angle is supplementary with the 100 degree angle, then the angles must equal 180 degrees.
[tex]180-100=80[/tex]
Find the slope of the line if it exists.
The slope of the line is 1.
What is slope?The slope of a line is the ratio of the amount that y increases as x increases some amount
To calculate the slope of the graph, we use the formula below.
Formula:
Slope (S) = (y₂-y₁)/(x₂-x₁)............ Equation 1From the question,
Given:
y₁ = 0y₂ = 4x₁ = -6x₂ = -2Substitute these values into equation 1
S = (4-0)/[-2-(-6)]S = 4/4S = 1Hence, the slope of the line is 1.
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Graph g(x) = |x| − 3.
The graph shows an upward opening v-shaped graph with a vertex at negative 3 comma 0, which passes through negative 4 comma 1 and negative 2 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 3 comma 0, which passes through 2 comma 1 and 4 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma 3, which passes through negative 1 comma 4 and 1 comma 4.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma negative 3, which passes through negative 1 comma negative 2 and 1 comma negative 2.
The graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
How to graph the equation of the function?The equation of the function is given as
g(x) = |x| - 3
The above function is an absolute value function.
The parent function of an absolute value function is
f(x) = |x|
This means that the function f(x) is translated to get to function g(x)
In this case, the function is f(x) is translated down by 3 units to get to function g(x)
So, the graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
See attachment for the graph of g(x)
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the converse of If a/b = c, then a = bc. geometry
We need to know what converse of a statement means to solve the problem. The converse of the given statement is, if a=bc then a/b=c.
The converse of a conditional statement is created by exchanging the condition and the result. If a statement is p--->q then the converse of the statement is q--->p. In the given question we have been given the condition as a/b=c and the result if the condition satisfies is a=bc. To find the converse of this statement we need to make the result, the condition and the condition will be the new result. So the condition for converse will be a=bc and the result if the condition satisfies will be a/b=c.
Therefore the converse of the given statement is, if a=bc then a/b=c.
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To two decimal places,
√70
must lie between ____
and _____.
Answer:
between 8.36 and 8.37
Step-by-step explanation:
[tex]\sqrt{70} =8.3666[/tex]
Hope this helps
Work out the equation of the line passing through (0, -1) and parallel to the line y = 2x + 4.
Answer:
Y=2x-1
Step-by-step explanation:
(0,-1) parallel to y=2x + 4
parallel means the slope is the same (i.e m=2)
general equation would be
y=2x+k
now (0,-1) belongs to line where x=0 and y= -1
-1 =2(0)+k
-1 = k
hence k is -1
the equation is y=2x-1
What is the distance of this line segment?
Answer:
5 studs (3^3)
(3^3) = 5
Step-by-step explanation:
How many groups of 1/8 are in 3?
Answer:
there are 24 1/8 in 3
Step-by-step explanation:
8x3=24
How many revolutions will a bicycle wheel of diameter 26 inches make as the bicycle travels a distance of 4miles?
Answer:
about 3103
Step-by-step explanation:
Camilo uses 32 ounces of filling to make empanadas de queso. He puts 8 empanadas on each of 3 trays. Write a fraction to show how many ounces of filling Camilo uses in each empanada.
Answer: The fraction that will show the number of ounces of filling Camilo uses is x = 32 ounces
Step-by-step explanation:
Calculation by using fractions method :
The number of ounces used is x = 32
The number of trays = 3
Number of empanadas on each tray = 8
Therefore, the total number of empanadas on the 3 trays
= 3×8
= 24
If x = empanadas
32 ounce = x
Therefore, the fraction that shows number of ounces of filling Camilo uses in each empanada is x = 32 ounces
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use the point and the slope to graph each line. Write the equation of each line. The line contains point (2,-2) and is perpendicular to a line with slope "-1"
Answer:
y = x - 4
Step-by-Step Explanation:
Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1 (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):y = mx + b-2 = 1(2) + b-2 = 2 + bSubtract 2 from both sides to solve for b:-2 - 2 = 2 - 2 + b-4 = bTherefore, the y-intercept (b) = -4.Hence, the equation of the perpendicular line is: y = x - 4
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as the first step in solving 3x-1=8, Stella multiplies by 1/3 on both sides. what advice would you give her about the procedure for solving equations
Answer:for solving equations your trying to get the x by itself so multiplying 1/3 on both sides doesn't eliminate 1 so that you can have 3x by itself
Step-by-step explanation:hope that helps
I cannot do this help me to this
we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.
How to identify if the triangles are similar?
Two figures are similar if the figures have the same shape, but different size.
So, one figure is a dilation/contraction of the other figure.
In this case of the triangles, two are similar if and only if all the correspondent internal angles have the same measure.
For the case of the image, the triangles:
RST and RUV
would be similar if and only if line ST and line UV are parallel, in that case we would get that the angles at S and U are equal, and the same for the angles at T and V.
In this particular case, there is no indication that ST and UV are parallel. (they may be, the may not be)
So we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.
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dam n bro uglier den a redneck on a sunday
Step-by-step explanation:
What is the slope of the line that passes through the points (2, 8) and (-3, 14)?
Answer:
-6/5
Step-by-step explanation:
(14-8)÷(-3-2) = -6/5
Mary's birthday is between June 13 and June 23. The date of her birthday is not an even number. The sum of the digits is 3. When is Mary's birthday
Answer:
Step-by-step explanation:
possible two digit numbers with sum 3 are 03,12,21,30
only 21 is between 13 and 23.
Mary's birthday is June 21.
Translate the following verbal expression into an algebraic expression.
Ten times a number plus seven times the same number.
Answer:
10x + 7(10x)
Step-by-step explanation:
X is the unknown number
Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches he makes:
Number of batches 222 333 444
Sugar (\text{kg}kgstart text, k, g, end text) 0.60.60, point, 6 0.90.90, point, 9 1.21.21, point, 2
Chika has 2.25\,\text{kg}2.25kg2, point, 25, start text, k, g, end text of sugar, and she wants to make as many batches as possible for a bake sale. She can make partial batches, and she has more than enough of the other ingredients.
How many batches can Chika make?
Proportionately, the number of batches that Chika can make with 2.25kg of sugar is 7.5.
What is proportion?Proportion is the ratio of a variable in the whole.
Proportion shows how much quantity is contained in a variable.
Proportions are represented in decimals, percentages, and fractions.
Data and Calculations:Number of Batches 2 3 4
Sugar (kg) 0.6 0.9 1.2
Proportion of sugar
per batch 0.3 0.3 0.3
Chika's sugar ingredient = 2.25 kg
The number of batches Chika can make = 7.5 (2.25/0.3)
Thus, the number of batches that Chika can make with 2.25kg of sugar is 7.5.
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A chemist is using 357 milliliters of a solution of acid and water. If 18.1% of the solution is acid, how many milliliters of acid are there? Round your
answer to the nearest tenth.
milliliters
If 18.1 percent of the solution is acid, 64.07 milliliters of acid are there.
What is a percentage?
Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.Multiplying this fraction by 100 and adding a percent sign will get the percentage. Percentage Equals 100 * numerator / denominator.As per the question,
18.1 Percent of 357 ml of solution used is acid, therefore,
=(18.1/100)*357
= 64.07 ml of acid
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