Answer:
$12.50
Step-by-step explanation:
(2,30*4)+3.30
9.20+3.30=12.50
What number line represents the solution for the inequality -1\2x>4
Answer:
Step-by-step explanation:
-1\2x>4
-x> 8
x < -8
The one without a shaded knob starting from -8 on the x-axis; projecting leftward.
A water faucet is turned 1/7 to the right and then 3/4 to the right again. How far is the water faucet turned?
Answer:
A water faucet is turned 1/7 to the right and then 3/4 to the right again.
=> In total, that water faucet turned 1/7 + 3/4 = 4/28 + 21/28 = 25/28 to the right.
Hope this helps!
:)
The accompanying data on x = current density (mA/cm2) and y = rate of deposition (m/min)μ appeared in a recent study.
x 20 40 60 80
y 0.24 1.20 1.71 2.22
a. Do you agree with the claim by the article’s author that "a linear relationship was obtained from the tin-lead rate of deposition as a function of current density"? (Hint: determine the coefficient of correlation and determination factors)
b. Determine the linear regression equation.
Answer:
a) [tex]r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857[/tex]
The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables
b) [tex]m=\frac{64.5}{2000}=0.03225[/tex]
Now we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425[/tex]
[tex]b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27[/tex]
So the line would be given by:
[tex]y=0.3225 x -0.27[/tex]
Step-by-step explanation:
Part a
The correlation coeffcient is given by this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
For our case we have this:
n=4 [tex] \sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501[/tex]
[tex]r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857[/tex]
The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables
Part b
[tex]m=\frac{S_{xy}}{S_{xx}}[/tex]
Where:
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]
With these we can find the sums:
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000[/tex]
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5[/tex]
And the slope would be:
[tex]m=\frac{64.5}{2000}=0.03225[/tex]
Now we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27[/tex]
So the line would be given by:
[tex]y=0.3225 x -0.27[/tex]
The president of a university claimed that the entering class this year appeared to be larger than the entering class from previous years but their mean SAT score is lower than previous years. He took a sample of 20 of this year's entering students and found that their mean SAT score is 1,501 with a standard deviation of 53. The university's record indicates that the mean SAT score for entering students from previous years is 1,520. He wants to find out if his claim is supported by the evidence at a 5% level of significance. Referring to Scenario 9-9, what is the critical value
Answer:
Step-by-step explanation:
To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level
The nul hypothesis is
[tex]H_0; \mu \geq 1520[/tex]
The alternative hypothesis is
[tex]H_0 ; \mu\leq 1520[/tex]
The test statistic is
[tex]t=\frac{\bar x- \mu}{(\frac{s}{\sqrt{n} } )}[/tex]
[tex]t= \frac{1501-1520}{(\frac{53}{\sqrt{20} } )} \\\\=-1.603[/tex]
The t - test statistics is -1.603
The t - critical value is,
The small size is small and left tail test.
Look in the column headed [tex]\alpha = 0.05[/tex] and the row headed in the t - distribution table by using degree of freedom is,
d.f = n - 1
= 20 - 1
= 19
The t - critical value is -1.729
The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance.
there is insignificance evidence ti indicate that the mean SAT score is less than 1520. The result is not statistically significant
Answer:
Critical value = -1.729
Step by Step explanation:
Given:
n = 20
X' = 1501
Standard deviation = 53
Mean, u = 1520
Level of significance, a = 0.05
The null and alternative hypotheses:
H0 : u = 1520
H1 : u < 1520
This is a lower tailed test.
Degrees of freedom, df = 20 - 1 = 19
For critical value:
[tex]t critical = - t_a, _d_f [/tex]
From t table df = 19, one tailed
[tex]t critical = -t _0._0_5, _1_9 = -1.729[/tex]
Critical value = -1.729
Decision: Reject null hypothesis H0, if test statistic Z, is less than critical value.
Test statistic Z =
[tex] Z = \frac{X' - u}{\sigma / \sqrt{n}} [/tex]
[tex] Z = \frac{1501 - 1520}{53/ \sqrt{20}}= -1.603[/tex]
Z = -1.603
For p-value:
From excel,
P(t< -1.603) = t.dist( -1.603, 19, 1)
= 0.06269
≈ 0.0627
P value = 0.0627
Since test statistic Z, -1.603, is greater than critical value, -1.729, we fail to reject the null hypothesis H0.
There is not enough statistical evidence to conclude that mean is less than 1520.
Why the US civil rights movement gain new momentum after World War ?
Answer:
The US civil rights movement gain new momentum after World War II as the rallying of blacks in Montgomery and Alabama by Rosa Parks. At the time black people were separated from white people. Whites were considered as a superior and high class while on the other side blacks were counted as a lower class.
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \cos(\theta_1)=\dfrac{3}{8}cos(θ 1 )= 8 3 cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 3, divided by, 8, end fraction . What is the value of \sin(\theta_1)sin(θ 1 )sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Answer:
(√55)/8
Step-by-step explanation:
The sine and cosine are related by ...
sin² +cos² = 1
Then the sine of the angle is ...
sin(θ₁) = √(1 -cos(θ₁)²)
sin(θ₁) = √(1 - (3/8)²) = √(55/64)
sin(θ₁) = (√55)/8
For the following problem state the objective function and the constraints. DO NOT solve:
A local group is planning to raise as much money as they can by making and selling umbrellas. They intend to make two models: the Sprinkle and the Hurricane.
The amount of cloth, metal, and wood used in making each model, the amount of each material available on a given day and the profit for each model are:
Sprinkle Hurricane Total Available
Cloth (sq yd) 1 2 500
Metal (lbs) 2 3 600
Wood (lbs) 4 7 800
Profit ($) 3 5
Answer:
If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:
[tex]P=3S+5H[/tex]
The restriction for cloth can be written as:
[tex]S+2H\leq500[/tex]
The restriction for metal can be written as:
[tex]2S+3H\leq600[/tex]
The restriction for wood can be written as:
[tex]4S+7H\leq800[/tex]
The condition for S and H to be positive is:
[tex]S, H \geq0[/tex]
Step-by-step explanation:
We have an objective function that, in this case, we want ot maximize.
This function is the Profit (P).
If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:
[tex]P=3S+5H[/tex]
We have 3 restrictions, plus the condition that both S and H are positive.
The restriction for cloth can be written as:
[tex]S+2H\leq500[/tex]
The restriction for metal can be written as:
[tex]2S+3H\leq600[/tex]
The restriction for wood can be written as:
[tex]4S+7H\leq800[/tex]
The condition for S and H to be positive is:
[tex]S, H \geq0[/tex]
Use the graph to estimate the solution of the system.
x + 2y = 5,
-x + 3y = 6
Which integers is the x-value between?
What is the x-value to the nearest tenth?
Which integers is the y-value between?
What is the y-value to the nearest tenth?
Answer:
x is between 0 and 1
x is almost 0.5
y is between 2 and 3
y is almost 0.2
Answer:
1st answer: 0 and 1
2nd answer: about 0.6
3rd answer: 2 and 3
4th answer: about 2.2
Step-by-step explanation:
I got it correct! Edge 2021:)
Convert the angle θ = 3 π 5 θ= 5 3π theta, equals, start fraction, 3, pi, divided by, 5, end fraction radians to degrees.
Answer: 3pi/5 and 5/3pi?
Step-by-step explanation:
Answer:
Step-by-step explanation:
3pi/5 * 180/pi
3/5 * 180/1
3/1 * 36
3*36
108 degrees
5/3pi * pi/180
5/3 * 1/180
1/3 * 1/36
1/108
2/9 - 2/15 as a fraction in lowest terms
If f(x)=x^3 and g(x) = 2x+7, what is g(x) when x =2
Answer:
g(2)=11
Step-by-step explanation:
We want to find g(x), or y, when x is equal to 2. We have the equation:
g(x)=2x+7
We know that x=2, so we can substitute 2 in for x.
g(2)=2(2)+7
Multiply 2 and 2 first
g(2)=4+7
Add 4 and 7
g(2)=11
Answer:
Yes 11 is the right answer
Step-by-step explanation:
Please help me ASAP !!!! Will give brainliest!!!!!!
Please Answer the image below.
Answer:
I think it’s the first and fourth
Step-by-step explanation:
Hope this helps!!!!
what is 4n + 3(n-5) + 2
Answer: 7n−13
Step-by-step explanation:
Please help me I’m really stuck
Answer: 3/20.
Step-by-step explanation: Yellow is mentioned three times in the table, so the numerator would be three and the denominator would be 20 since Danielle recorded 20 draws in the table.
What is the volume of the pyramid?
A solid oblique pyramid has an equilateral triangle as a base
with an edge length of 4/3 cm and an area of 12/3 cm.
O 12/3 cm3
16/3 cm
24/3 cm3
32/3 cm3
Answer:
16/9 cm³Step-by-step explanation:
Volume of a triangular pyramid = 1/3 * Base area * height
Given the Base area = area of the equilateral triangle = 12/3 cm
Height of the pyramid = length of its edge = 4/3 cm
Substituting this values in the formula we have;
V = 1/3 * 12/3 * 4/3
V = 48/27
V = 16/9 cm³
The volume of the given triangular pyramid is; B: 16/3 cm²
What is the Volume of the Pyramid?
Formula for volume of a triangular pyramid is;
V = ¹/₃ * Base area * height
We are given;
Base area = area of the equilateral triangle = 12 cm²
Height of the pyramid = length of its edge = 4/3 cm
Thus;
V = ¹/₃ * 12 * (4/3)
V = 16/3 cm³
Read more about Volume of Pyramid at; https://brainly.com/question/16203922
Complete the following, and you'll be made brainliest if it is correct!
a) 3/5 = ?/20?
find out what should go where the question mark is for both questions.
b) ?/6 = 25/30
Answer:
a) 12
b)5
Step-by-step explanation:
Answer:
(a) 12
(b) 5
Step-by-step explanation:
(a) 3/5 = (3×4)/(5×4) = 12/20
(b) (5×5)/(5×6) = 25/30
there are 300 staff members this year. this is 25% lower than last years number of staff members. what was last years number of staff members?
Answer:
400
Step-by-step explanation:
75/100 = 300/x
75x = 30000
x = 400
What’s the correct answer for this?
Answer:
2 is the answer according to me
4 number lines. Graph A goes from 95 to 100. An open circle is at 98 and everything to the right is shaded. Graph B goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the right is shaded. Graph C goes from negative 100 to negative 95. An open circle is at negative 98 and everything to the left is shaded. Graph D goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the left is shaded.
Which graph is the solution to the inequality?
y - 13 > -85
13 < -85 + y
y + 13 < -85
Answer:
B A C
Step-by-step explanation:
It is what it is
Answer:
4 number lines. Graph A goes from 95 to 100. An open circle is at 98 and everything to the right is shaded. Graph B goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the right is shaded. Graph C goes from negative 100 to negative 95. An open circle is at negative 98 and everything to the left is shaded. Graph D goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the left is shaded.
Which graph is the solution to the inequality?
y - 13 > -85
✔ B13 < -85 + y
✔ Ay + 13 < -85
✔ CStep-by-step explanation: edgunity!
hope this helps! :)
How do you solve 8^2
To solve 8^2 , we have to multiply 8 with itself , this means = 8 × 8 = 64 . Thus, our answer = 8²= 64.
This also known as square of a number as we multiply it with itself .
help need to bring my grade up!!
Why do you find the volume of a rectangular or triangular prism.
Answer: Multiply the length, the width, and the height.
You can multiply them in any order to get the same different result. The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W
Step-by-step explanation:
Solve by factoring: X^2-3x-18=0
Answer:
[tex]x=-3\\x=6[/tex]
Step-by-step explanation:
We begin with [tex]x^2-3x-18=0[/tex]
To factor this, we need to look for two things:
Two numbers that add together to get [tex]-3[/tex] and two numbers that multiply together to get [tex]-18[/tex].
One method to find the answer is to write out each of the solutions to the multiplication and then check the sum of each of those digits:
The numbers that multiply together to get [tex]-18[/tex] are:
1 and -18
-1 and 18
2 and -9
-2 and 9
3 and -6
-3 and 6
Now, we can add each of these pairs of digits together to find which one gives us an answer of [tex]-3[/tex]
[tex]1+(-18)=-17\\\\-1+18=17\\\\2+(-9)=-7\\\\-2+9=7\\\\3+(-6)=-3\\\\-3+6=3[/tex]
From this, we can see that 3 and -6 gave us the result of -3. This means that these are the two factors.
To get our answer from this, we need to put our answer in the form of [tex](x+a)(x+b)=0[/tex]
This gives us the factored form of [tex](x+3)(x-6)=0[/tex]
To solve this equation, we must make either parenthesis equal to zero. This means that our solutions will be
[tex]x=-3\\x=6[/tex]
By factoring, the solutions to the quadratic equation x² - 3x - 18 = 0 are x = 6 and x = -3.
How to Solve an Equation by Factorization?To solve the quadratic equation x² - 3x - 18 = 0 by factoring, we need to find two binomials that, when multiplied, result in zero. The quadratic equation generally follows the format ax² + bx + c = 0, where a, b, and c are constants.
Here's the step-by-step process for factoring the given equation:
Step 1: Begin with the equation x² - 3x - 18 = 0.
Step 2: Identify two numbers whose product is -18 (the constant term) and whose sum is -3 (the coefficient of the x-term).
We find that the two numbers are -6 and +3 because:
-6 * 3 = -18 (the product of the two numbers is -18)
-6 + 3 = -3 (the sum of the two numbers is -3)
Step 3: Rewrite the middle term (-3x) using -6x and +3x:
x² - 6x + 3x - 18 = 0.
Step 4: Group the terms and factor them by pairs:
(x² - 6x) + (3x - 18) = 0.
Step 5: Factor out the greatest common factor from each group:
x(x - 6) + 3(x - 6) = 0.
Step 6: Notice that both terms have a common factor of (x - 6). Factor it out:
(x - 6)(x + 3) = 0.
Step 7: Apply the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero:
Setting each factor to zero and solving for x:
x - 6 = 0 --> x = 6
x + 3 = 0 --> x = -3
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Let s be the solid obtained by rotating the region shown in the figure about the y-axis (Assume a = 5 and b = 2)
Sketch a typical approximating shell.
What are its circumference c and height h?
c(x) =
h(x) =
Use shells to find the volume V of S.
V =
Answer:
see attached for a figurec(x) = 2πxh(x) = 5x(x -2)^2V = 32π/3Step-by-step explanation:
The volume is the summation of the volumes of the shells. The volume of a shell is its circumference ...
c(x) = 2πx
multiplied by its height ...
h(x) = 5x(x -2)^2
and its thickness, dx.
That summation is the integral ...
[tex]\displaystyle V=\int^2_0 {2\pi x(5x)(x-2)^2} \, dx=10\pi\int^2_0 {(x^2-2x)^2} \, dx=10\pi\left(\dfrac{2^5}{5}-\dfrac{4(2^4)}{4}+\dfrac{4(2^3)}{3}\right)\\\\\boxed{V=\dfrac{32\pi}{3}}[/tex]
The circumference of the shell is c(x) = 2πx
The height of the shell is [tex]h(x) = 5x(x-2)^{2}[/tex]
The required volume of the shell is [tex]\frac{32\pi}{3}[/tex].
Given that,
S be the solid obtained by rotating the region,
Where, a = 5 and b =2
We have to determine ,
What are its circumference c and height h.
According to the question,
The volume is the summation of the volumes of the shells. The volume of a shell is its circumference ,c(x) = 2πx
And the height of the shell.
[tex]h(x) = 5x(x-2)^{2}[/tex]
The volume of the shell is given by,[tex]V = \int (circumference) \ )(height )\ . dx\\\\[/tex]
Where dx thickness of the shell.
Substitute the value in the equation,
[tex]v = \int\limits^2_0 {2\pi x .(5x) (x-2)^{2} }\, dx\\\\v = \int\limits^2_0 {10\pi x^{2} (x-2)^{^{2}} \ d x\\\\\\v =10\pi \int\limits^2_0 {x^{2}.(x^2+4-4x)} \, dx \\\\V = 10\pi \int\limits^2_0( {x^{4} + 4x^{2} - 4x^{3}) \, dx[/tex]
[tex]v = 10\pi \ [ \dfrac{x^{5}}{5} + \dfrac{4x^{3}}{3} - x^{4}]^{2}_0\\\\v = 10\pi [ \dfrac{2^{5}}{5} + \dfrac{4.2^{3}}{3} - 2^{4} - \dfrac{0^{5}}{5} -\dfrac{4.0^{3}}{3} + 0^{4}]}\\\\v = 10\pi \ [ \dfrac{32}{5} + \dfrac{32}{3} - 16 -0-0+0]\\\\v = 10\pi [\dfrac{96+160-240}{15}]\\\\v = 10\pi [\dfrac{16}{15}]\\\\v = \dfrac{32\pi }{3}[/tex]
Hence, The required volume of the shell is [tex]\dfrac{32\pi}{3}[/tex].
To know more about Integration click the link given below.
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Y to the 15 over y to the x is equal to y to the 7th. Find the missing exponent.
Answer:
8
Step-by-step explanation:
to divide exponentials, subtract the exponents
15-x=7
x=8
Solve for r.
27r = 783
Answer:29
Step-by-step explanation:
27r=783
divide both sides by 27
27r÷27=783÷27
r=29
Answer:
[tex]r = 29[/tex]
Step-by-step explanation:
[tex]27r = 783 \\ \frac{27r}{27} = \frac{783}{27} \\ r = 29[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
1- An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces (oz), what is the weight in pounds, in the case of wooden pencils?
Answer:
Total weight in lb = 10 lb
The weight of wooden pencils is 10 pounds.
Step-by-step explanation:
We are given that an office supply company is shipping a case of wooden pencils to a store.
There are 64 boxes of pencils in the case.
The weight each box of pencils is 2.5 ounces (oz)
We are asked to find the weight of wooden pencils in pounds.
Step 1: Find the total weight of pencils in ounces
Since there are 64 pencils and each pencil weighs 2.5 ounces,
Total weight in oz = 64×2.5
Total weight in oz = 160 oz
Step 2: Convert the total weight of pencils into pounds
We know that 1 pound has 16 ounces so we have to divide the total weight of the pencils by 16 to get the weight in pounds
Total weight in lb = 160/16
Total weight in lb = 10 lb
Therefore, the weight of wooden pencils is 10 pounds.
A car manufacturer has a failure rate in their oil gasket of 2%. What is the probability that , of 1200 cars built, 50 will develop a failure in the gasket?
Answer:
4%
Step-by-step explanation:
Get 14 points, Plz help me with this question, and give the right answer cause it's important
Answer:
D
Step-by-step explanation:
Assume an exponential function has a starting value of 16 and a decay rate of 0.52%. Write an equation to model the situation.
Answer:
[tex]A(t)=16(0.99948)^t[/tex]
Step-by-step explanation:
The exponential function is modeled using the equation:
[tex]A(t)=A_o(1\pm r)^t[/tex]
Where the plus sign indicates growth and the negative sign indicates exponential decay.
r=Decay/Growth constantt=time[tex]A_0[/tex] is the starting value.For an exponential function has a starting value of 16 and a decay rate of 0.52%.
[tex]A_0=16\\r=0.052\%=0.00052[/tex]
This gives:
[tex]A(t)=16(1- 0.00052)^t\\A(t)=16(0.99948)^t[/tex]
The function that models this situation is:
[tex]A(t)=16(0.99948)^t[/tex]
What is the answer to 4 times 1/2
Answer: your answer is 2
Step-by-step explanation: