Answer:
[tex] 0.094781123 - 4.032* 0.027926367 =-0.0178180[/tex]
[tex] 0.094781123 + 4.032* 0.027926367 =-0.2073802[/tex]
Step-by-step explanation:
For this case we have the following output:
Predictor Coeff St. Dev t Ratio p-Value
Constant 7.85671094 1.316226455 5.969118 0.001889
Music Video Views 0.094781123 0.027926367 3.393965 0.019378
For this case the slope of the regression we have:
[tex] \hat b = 0.094781123[/tex]
We assume that the standard error is:
[tex] SE_b = 0.027926367[/tex]
The confidence interval would be given by:
[tex] \hat b \pm t_{n-2} SE_b[/tex]
The degrees of freedom are given by:
[tex] df= 7-2=5[/tex]
And the critical value using a significance level of [tex]\alpha=0.01[/tex] is:
[tex] t_{\alpha/2} = 4.032[/tex]
And replacing we got;
[tex] 0.094781123 - 4.032* 0.027926367 =-0.0178180[/tex]
[tex] 0.094781123 + 4.032* 0.027926367 =-0.2073802[/tex]
Find the value of x for which line a is parallel to line b. 34 32 68 56
Answer
value of x is 34 degrees
Step-by-step explanation:
Find the distance from the point (1, 4) to the line y = 1/3x – 3. A) 2(square root) 10 units B) 4 units C) 4(square root) 2 units D) 20 units
Answer:
Distance between line and point =
4√5 -3/2√10
Step-by-step explanation:
Distance between the line is
= √ ((9-0)²+(0+1)²)
= √ (89+1)
= √90
= 3√10
Half of the line = 3/2√10
Distance of one side of the line and the point.
= √((9-1)²+(0-4)²)
= √((8)²+(-4)²)
=√64+16
= √80
= 4√5
Distance between line and point =
4√5 -3/2√10
Answer: 2 square root 10 units
Step-by-step explanation: A
A box contains 99 green marbles and 1212 white marbles. If the first marble chosen was a green marble, what is the probability of choosing, without replacement, a white marble? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
0.9252Step-by-step explanation:
Adding the two together 1212 + (99 - 1)
1310
1212/1310 = 606/655
Decimal: 0.9252
I'm always happy to help :)
Let f be the function that determines the area of a circle (in square cm) that has a radius of r cm. That is, f ( r ) represents the area of a circle (in square cm) that has a radius of r cm.Use function notation to complete the following tasks
a. Represent the area (in square cm) of a circle whose radius is 4 cm.
b. Represent how much the area (in square cm) of a circle increases by when its radius increases from 10.9 to 10.91 cm.
Answer:
(a)f(4) square cm.
(b)f(10.91)-f(10.9) Square centimeter.
Step-by-step explanation:
f(r)=the area of a circle (in square cm) that has a radius of r cm.
(a)Area (in square cm) of a circle whose radius is 4 cm.
Since r=4cm
Area of the circle = f(4) square cm.
(b) When the radius of the increases from 10.9 to 10.91 cm.
Area of the circle with a radius of 10.91 = f(10.91) square cm.Area of the circle with a radius of 10.9 = f(10.9) square cm.Change in the Area = f(10.91)-f(10.9) Square centimeter.
Jose can assemble 12 car parts in 40 minutes. How many minutes
would be needed to assemble 9 parts7
Answer:
12/40=0.3
0.3 car parts per minute
9 / 0.3 = 30 minutes
30 minutes for 9 parts
Hope this helps
Step-by-step explanation:
Jose required 30 minutes to assemble 9 parts.
Jose assemble 12 car parts in 40 minutes. Time consumed by jose to assemble 9 parts to be calculated.
In mathematics it deals with numbers of operations according to the statements.
Here,
40 minute = 12 parts
40/12 = 1 part
Time to assemble 9 parts: = 40/12 x 9
= 10/3 x 9
= 30
Thus, Jose required 30 minutes to assemble 9 parts.
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the equation of straight line passing through the point (2,3)&perpendicular to the line 4x-3y=10 is
Answer:
4y = -3x +18
Step-by-step explanation:
Let's get the gradient from this line equation first.
4x-3y=10
4x-10=3y
Y= 4/3x -10/3
The gradient is 4/3.
For a line perpendicular to another line.
M*M'= -1
M= -/(4/3)
M = -3/4
So the gradient to be used is -3/4
Formula for solving is
(Y-y1)/(x-x1)= M
X1= 2
Y1= 3
M = -3/4
(Y-y1)/(x-x1)= M
(Y-3)/(x-2)= -3/4
4(y-3)= -3(x-2)
4y -12 = -3x +6
4y = -3x +18
Given: AD≅ BC and AD ║ BC Prove: ABCD is a parallelogram. Assemble the proof by bragging tiles to the statements and reasons column.
Answer:
Step-by-step explanation:
A parallelogram is a quadrilateral with congruent opposite sides and pair of opposite angles.
Given: parallelogram ABCD
AD≅ BC
AD ║ BC
Thus;
<ABC + DAB = [tex]180^{o}[/tex] (supplementary angle property)
ΔABD = ΔCBD (each diagonal divides a parallelogram into two congruent triangles)
<ABC = <ADC (both pairs of opposite angles are congruent)
<DAB = <BCD (both pairs of opposite angles are congruent)
AB ≅ CD (opposite sides are congruent)
AB ║ DC (pair of opposite sides are parallel)
Therefore, the quadrilateral ABCD is a parallelogram.
Which of the following number lines represents the solution to x-5>-2
Answer:
see below
Step-by-step explanation:
x-5 > -2
Add 5 to each side
x-5+5 > -2+5
x > 3
open circle at 3 line going to the right
Answer:
x>3
Step-by-step explanation:
x-5>-2
x>3
A nighttime cold medicine’s label indicates the presence of 600 mg of acetaminophen in each fluid ounce of the drug. The FDA randomly selects 65 1-ounce samples and finds the mean content is 595 mg with a standard deviation of 20 mg. Is there evidence that the label is incorrect? Use a= .05.
Answer:
[tex]t=\frac{595-600}{\frac{20}{\sqrt{65}}}=-2.016[/tex]
The degrees of freedom are given by:
[tex]df=n-1=65-1=64[/tex]
The p value would be given by:
[tex]p_v =2*P(t_{(64)}<-2.016)=0.048[/tex]
And for this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mena is different from 600 mg
Step-by-step explanation:
Information given
[tex]\bar X=595[/tex] represent the sample mean
[tex]s=20[/tex] represent the sample standard deviation
[tex]n=65[/tex] sample size
[tex]\mu_o =600[/tex] represent the value to verify
[tex]\alpha=0.05[/tex] represent the significance level
t would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to test if the true mean is different from 600 mg, the system of hypothesis would be:
Null hypothesis:[tex]\mu = 600[/tex]
Alternative hypothesis:[tex]\mu \neq 600[/tex]
The statistic would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info we got:
[tex]t=\frac{595-600}{\frac{20}{\sqrt{65}}}=-2.016[/tex]
The degrees of freedom are given by:
[tex]df=n-1=65-1=64[/tex]
The p value would be given by:
[tex]p_v =2*P(t_{(64)}<-2.016)=0.048[/tex]
And for this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mena is different from 600 mg
Pls and thank u i need help
Answer: see table below
Step-by-step explanation:
Simply add the digit on the left to the digit on the top
1, 2 --> 1 + 2 = 3
3, 4 --> 3 + 4 = 7
4, 2 --> 4 + 2 = 6
6, 6 --> 6 + 6 = 12
[tex]\begin{array}{c|c|c|c}&\underline{\quad 2\quad }&\underline{\quad 4\quad }&\underline{\quad 6\quad }\\\underline{\quad 1 \quad}&\bold{\underline{\quad 3\quad}}&\underline{\quad 5\quad}&\underline{\quad 7\quad}\\\underline{\quad 2 \quad}&\underline{\quad 4\quad }&\underline{\quad 6\quad }&\underline{\quad 8\quad}\\\underline{\quad 3 \quad}&\underline{\quad 5\quad }&\bold{\underline{\quad 7\quad}}&\underline{\quad 9\quad}\\\end{array}[/tex]
[tex]\begin{array}{c|c|c|c}{\underline{\quad 4 \quad}&\bold{\underline{\quad 6\quad }}&\underline{\quad 8\quad }&\underline{\quad 10\quad }\\\underline{\quad 5 \quad}&\underline{\quad 7\quad}&\underline{\quad 9\quad}&\underline{\quad 11\quad}\\\underline{\quad 6 \quad}&\underline{\quad 8\quad }&\underline{\quad 10\quad }&\bold{\underline{\quad 12\quad}}\\\end{array}[/tex]
What is the conjugate?
2x2 + √3
Answer: 2x²-√3
Step-by-step explanation:
Another way to say the conjugate is the opposite. All you have to do is to change the sign in the binomial, which is 2x²+√3. When you change the sign, it becomes 2x²-√3.
Which expression are equivalent to 4m-2+(-8m)
Answer:
combine 4m -8m to get -4m
[tex] - 4m - 2[/tex]
Answer:
− 4m-2
Step-by-step explanation:
Three kinds of tickets were sold for a concert. Child tickets are $6, adult tickets are $12, and student tickets are $8. A total of 204 tickets were sold, bringing in a total of $2,008. If 4 more adult tickets were sold than the total number of student and child tickets combined, how many student tickets were sold? Type in your numerical answer only; do not type any words or letters with your answer.
Answer:
The number of children's tickets sold =12The number of adult's tickets sold =100The number of student's tickets sold =92Step-by-step explanation:
Let the number of children's tickets sold =c
Let the number of adult's tickets sold =a
Let the number of student's tickets sold =s
A total of 204 tickets were sold, therefore: c+a+s=204
Child tickets are $6, adult tickets are $12, and student tickets are $8.
Total revenue =$2,008
Therefore:
6c+12a+8s-2008
We are also told that 4 more adult tickets were sold than the total number of student and child tickets combined.
c+s=a+4
We then solve the resulting system of equation.
c+a+s=2046c+12a+8s=2008c+s=a+4Substituting c+s=a+4 into the first equation
c+a+s=204
a+4+a=204
2a=204-4
2a=200
a=100
Substitute a=100 into the second and third equation
6c+12(100)+8s=2008
6c+8s=2008-1200
6c+8s=808
From the third equation
c+s=100+4
c=104-s
Substitute c=104-s into 6c+8s=808
6(104-s)+8s=808
624-6s+8s=808
2s=808-624
2s=184
s=92
Since c=104-s
c=104-92
c=12
Therefore:
The number of children's tickets sold =12The number of adult's tickets sold =100The number of student's tickets sold =92Can someone help me please
Answer:
Option (2)
Step-by-step explanation:
The given table represents the relation between the velocity and the time for an object is falling under the gravity.
Change in velocity with respect to time is directly proportional so the change is linear.
Acceleration due to gravity of this object is defined by the slope of the line joining the ordered pairs given in the table.
Let the two points lying on the line are (0, 0) and (1, 9.8)
Slope of the line passing through two points = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
= [tex]\frac{9.8-0}{1-0}[/tex]
= 9.8 [tex]\frac{m}{s^{2} }[/tex]
Option (2) will be the answer.
A stock lost 7 1/8 points on Monday and then another 1 5/8 points on Tuesday. On Wednesday, it gained 13 points. What was the net gain or loss of the stock for these three days?
Answer:
It was gained 4 1/4 points.
Step-by-step explanation:
- 7 1/8 - 1 5/8 + 13 = - 8 6/8 + 13 = - 8 3/4 + 13 = - 8 - 3/4 + 12 + 4/4 = 4 1/4
Someone please help ASAP
Answer:
[tex]\boxed{\sf \ \ \ k = 1 \ \ \ }[/tex]
Step-by-step explanation:
hello,
saying that p-1 is a factor of [tex]p^4+p^2-p-k[/tex]
means that 1 is a root of this expression, so it comes
1+1-1-k=0
<=> 1-k=0
<=> k = 1
Which table shows the correct methods used to justify the solution steps?
3 (x minus 5) + 7 x = 65
A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries division property of equality, combine like terms, distributive property, addition property of equality.
A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries distributive property, combine like terms, addition property of equality, division property of equality.
A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries distributive property, addition property of equality, combine like terms division property of equality.
A 2-column table with 4 rows. Column 1 is labeled Solution step with entries 3 x minus 15 + 7 x = 65, 10 x minus 15 = 65, 10 x = 80, x = 8. Column 2 is labeled Method to Justify with entries division property of equality, combine like terms, addition property of equality, distributive property.
Answer:
B.
Step-by-step explanation:
The correct table that shows the justified solution steps is the second table.
The correct option is B.
The correct table that shows the justified solution steps is:
A 2-column table with 4 rows.
Column 1: Solution step
3x - 15 + 7x = 65
10x - 15 = 65
10x = 80
x = 8
Column 2: Method to Justify
Distributive property
Combine like terms
Addition property of equality
Division property of equality
In this table, the solution steps are correctly listed in the first column, showing the step-by-step process of solving the equation. The methods to justify each step are accurately provided in the second column, demonstrating the mathematical properties used at each stage.
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In rhombus MNOP, mMNO = 24. What is the measure of PMO
1(3√2)2=2n what is n? this might be hard to do but I need help asap!! ty
Answer:
[tex]n=3\sqrt{2}[/tex]
Step-by-step explanation:
[tex]2n=1\times \left(3\sqrt{2}\right)\times \:2[/tex]
[tex]2n=2 \times 3\sqrt{2}[/tex]
[tex]2n=6\sqrt{2}[/tex]
[tex]\frac{2n}{2}=\frac{6\sqrt{2}}{2}[/tex]
[tex]n=3\sqrt{2}[/tex]
Answer:
n = 3√2
Step-by-step explanation:
=> [tex]1(3\sqrt{2} )2 = 2n\\6\sqrt{2} = 2n\\[/tex]
Dividing both sides by 2, we'll get
=> [tex]\frac{6\sqrt{2} }{2} = \frac{2n}{2}[/tex]
So,
=> n = [tex]3\sqrt{2}[/tex]
What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b Negative a squared b and negative 6 a Negative a squared b and 5 a squared b 6 a b and 5 a squared b 6 a b and negative 6 a
Answer:
The like terms are: [tex]a^{2}b,\ ab,\ \teaxt{and}\ a[/tex]
Step-by-step explanation:
The expression is:
[tex]-a^{2}b+6ab-8+5a^{2}b-6a-b-a^{2}b-6a-a^{2}b+5a^{2}b+6ab+5a^{2}b+6ab-6a[/tex]
Collect the like terms as follows:
[tex]-a^{2}b+6ab-8+5a^{2}b-6a-b-a^{2}b-6a-a^{2}b+5a^{2}b+6ab+5a^{2}b+6ab-6a[/tex]
[tex]=(-a^{2}b+5a^{2}b-a^{2}b-a^{2}b+5a^{2}b+5a^{2}b)+(6ab+6ab+6ab)-(6a-6a-6a)-b-8[/tex]
[tex]=12a^{2}b+18ab+18a-b-8[/tex]
Thus, the final expression is [tex]12a^{2}b+18ab+18a-b-8[/tex]
The like terms are: [tex]a^{2}b,\ ab,\ \teaxt{and}\ a[/tex].
Answer:
The CORRECT answer is B
Step-by-step explanation:
The heights of 10 year old children has a normal probability distribution with mean of 54.6 inches and standard deviation of 5.7 inches. What is the approximate probability that a randomly selected 10-year old child will be more than 51.75 inches tall? Group of answer choices 0.69 0.31 0.62 0.67 0.93
Answer:
a) 0.69
The probability that a randomly selected 10-year old child will be more than 51.75 inches tall
P(X>51.75 ) = 0.6915
Step-by-step explanation:
Step(i):-
Given mean of the Population = 54.6 inches
Given standard deviation of the Population = 5.7 inches
Let 'X' be the random variable of normal distribution
Let 'X' = 51.75 inches
[tex]Z = \frac{x-mean}{S.D} = \frac{51.75-54.6}{5.7} = -0.5[/tex]
Step(ii):-
The probability that a randomly selected 10-year old child will be more than 51.75 inches tall
P(X>51.75 ) = P(Z>-0.5)
= 1 - P( Z < -0.5)
= 1 - (0.5 - A(-0.5))
= 1 -0.5 + A(-0.5)
= 0.5 + A(0.5) (∵A(-0.5)= A(0.5)
= 0.5 +0.1915
= 0.6915
Conclusion:-
The probability that a randomly selected 10-year old child will be more than 51.75 inches tall
P(X>51.75 ) = 0.6915
This is algebra solving linear equations
P+7/20=19/20
Answer:
P = [tex]\frac{19}{7}[/tex] or the decimal answer is 2.71
Step-by-step explanation:
Given a = 4 and b= -2, evaluate -Ib-al.
-2
-6
6
Phil has $20,000, part of which he invests at 8% interest and the rest at 6%. If the total income from the two investments was $1460, how much did he invest at 6%?
Answer: 7000
Step-by-step explanation:
Let the amount invested in 8% account be P1 and the amount invested in 6% account be P2
. If the total amount invested is $20,000 then:
P1+P2=20,000. (Eq. 1)
The interest earned in one year from the 8% account is:
I1=0.08P1
and the interest earned in one year from the 6% account is:
I2=0.06P2
If the total interest earned is $1460, then:
I1+I2=1460
0.08P1+0.06P2=1460
(Eq. 2) From Eq. 1 :
P1=20000−P2
Substituting this into Eq. 2:
0.08 (20000−P2) + 0.06P2 = 1460
1600 − 0.08P2 + 0.06P2 = 1460
0.02P2 = 140
P2 = 140 / 0.02
P2 = 7000
Hence, he invested $7000 at the rate of 6%.
A cylinder has radius R = 3.7 and height H = 5.6 both measured in inches. What is the volume of this cylinder measured in cm3? (Hint: The volume of a cylinder is given by V=\pi R^2HV = π R 2 H.)
Answer:
The volume is [tex]3946.17cm^3[/tex]Step-by-step explanation:
We need to convert the radius and the height to cm first
1 cm = 0.393701 in
r (cm)= 3.7 in
[tex]h(cm)= \frac{3.7}{0.393701}= 9.398 cm[/tex]
1 cm = 0.393701 in
h (cm)= 5.6 in
[tex]h(cm)= \frac{5.6}{0.393701}= 14.22 cm[/tex]
The formula the volume of cylinder is
[tex]volume= \pi r^2h\\\\volume= 3.142*9.398^2*14.22\\volume=3946.17cm^3[/tex]
In a genetics experiment on peas, one sample of offspring contained 450 green peas and 371 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of three fourths that was expected?
Answer:
P(G) = 0.55
the probability of getting an offspring pea that is green. Is 0.55.
Is the result reasonably close to the value of three fourths that was expected?
No
Expected P(G)= three fourths = 3/4 = 0.75
Estimated P(G) = 0.55
Estimated P(G) is not reasonably close to 0.75
Step-by-step explanation:
Given;
Number of green peas offspring
G = 450
Number of yellow peas offspring
Y = 371
Total number of peas offspring
T = 450+371 = 821
the probability of getting an offspring pea that is green is;
P(G) = Number of green peas offspring/Total number of peas offspring
P(G) = G/T
Substituting the values;
P(G) = 450/821
P(G) = 0.548112058465
P(G) = 0.55
the probability of getting an offspring pea that is green. Is 0.55.
Is the result reasonably close to the value of three fourths that was expected?
No
Expected P(G)= three fourths = 3/4 = 0.75
Estimated P(G) = 0.55
Estimated P(G) is not reasonably close to 0.75
What is the solution to the linear function? 2/3x - 1/2 = 1/3 + 5/6x
Answer:
x = -5
Step-by-step explanation:
You are often told to start a problem like this by clearing fractions. Multiply the equation by the least common denominator of the fractions. Here, that value is 6.
4x -3 = 2 +5x . . . . multiply the equation by 6
-5 = x . . . . . . . . . . . add -2-4x to both sides
The solution is x = -5.
_____
If you're comfortable with arithmetic using fractions, you can "cut to the chase." Subtract 2/3x+1/3 from both sides:
(2/3x -1/2) -(2/3x +1/3) = (1/3 +5/6x) -(2/3x +1/3)
-1/2 -1/3 = 5/6x -2/3x . . . . simplify a little
-5/6 = 1/6x . . . . . . . . . . . . .simplify more
-5 = x . . . . . . multiply by 6
The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 6 mm. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth. A cylinder and 2 half spheres. All have a radius of 6 millimeters. The cylinder has a height of 12 millimeters. Recall the formulas V = B h and V = four-thirds pi r cubed 527.52 cubic millimeters 1,431.84 cubic millimeters 2,034.72 cubic millimeters 2,260.80 cubic millimeters
Answer:
The Last One
Step-by-step explanation:
I used a special calculator plus, I did this already lol. Trust me <3
The required volume of the composite figure is 2260.80 cubic millimeters.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
here,
The volume of the composite figure is given as
Volume = Volume of cylinder + Volume of a sphere
= πr²h + 4/3πr³
= π [6²*12 + 4/3*6³ ]
= 2260.80 cubic millimeters.
Thus, the required volume of the composite figure is 2260.80 cubic millimeters.
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The mean age of 5 people in a room is 40 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?
Answer:
[tex]\boxed{\sf \ \ \ age = 16 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
as the mean age of 5 people is 40
it means that the sum of the 5 ages is 40*5=200
now a person enters the room, let's note x his age
the new mean is
[tex]\dfrac{200+x}{6}=36[/tex]
[tex]<=>200+x=6*36=216\\<=> x = 216-200=16\\[/tex]
So the age of the new person is 16
hope this helps
Rogelio paints watercolors. He got a $100 gift card to the art supply store and wants to use it to buy 12 inch by 16 inch canvases. Each canvas costs $10.99. What is the maximum number of canvases he can buy with his gift card
Answer:
9 canvases
Step-by-step explanation:
To find the number of canvases Rogelio can buy, we just need to divide the value of the gift card by the value of each canvas. Then, if the result is decimal, we round down, because if we round up we will not have enough money to buy them all.
So we have that:
Number of canvases = 100 / 10.99
Number of canvases = 9.099
Rounding down, we can buy 9 canvases