Answer:
3x
Step-by-step explanation:
What is the critical value t* which satisfies the condition that the t distribution with 14 degrees of freedom has probability 0.35 to the right of t*
Answer:
[tex]t_{0.35,14}= 0.3933306[/tex]
Step-by-step explanation:
From the question we are told that:
Degree of freedom [tex]df=14[/tex]
Significance Level [tex]\alpha=0.35[/tex]
Generally the expression for critical value t is mathematically given by
[tex]t_{\alpha,df}[/tex]
[tex]t_{0.35,14}[/tex]
Therefore From Students T Value Table
[tex]t_{0.35,14}= 0.3933306[/tex]
[tex]T-Value (right-tailed): 0.3933306[/tex]
What is 7 divided by 8360 in long division
Answer: 8.373205741626794e-4
Step-by-step explanation: Thant is what i got on my calculator
Answer:
1194 R2
Step-by-step explanation:
7 | 8360
7 (1000)
_______
1360
7 (100)
_______
660
63 (90)
_______
30
28 (4)
_______________
2 | 1194
assume the graph of a function of the form y=asin(k(x+b)) is given below. which of the following are possible values for a, k, and b?
Answer:
a=4, k=2, and b= -pi/4
Step-by-step explanation:
<3
What is the vertex of x2 + 8x + 12?
Answer:
(-4,-4)
YW :))
Or you could of just looked it up cause thats what I did!!
Which figure is a triangular prism?
Answer:
B
Step-by-step explanation:
A triangular prism is described as a triangle stretched on the third dimension, so the bottom of it will be a square or a rectangle. Two of the sides will also be squares or rectangles. B is the only option that applies to BOTH of these requirements.
Answer:
B
hope it helped !!
plzzzzzz help for a brainly
What is the constant of proportionality in the table shown below?
Answer:
3/4.
Step-by-step explanation:
I just know. I studied constant of proportionality for a loooong time! if its wrong tell me.
At a candy store, Brooke bought 1
pound of jelly beans and 6 pounds
of gummy worms for $42
Meanwhile, Ken bought 5 pounds
of jelly beans and 4 pounds of
gummy worms for $54. How
much does one pound of jelly
beans and one pound of gummy
worms candy cost?
Answer:
One pound of jelly beans and one pound of gummy worms candy cost $6 each
Step-by-step explanation:
Given
Let
[tex]J \to[/tex] Jelly Beans
[tex]G \to[/tex] Gummy worms
So, we have:
Brook
[tex]J + 6G = 42[/tex]
Ken
[tex]5J + 4G = 54[/tex]
Make J the subject in the first equation
[tex]J + 6G = 42[/tex]
[tex]J = 42 - 6G[/tex]
Substitute [tex]J = 42 - 6G[/tex] in [tex]5J + 4G = 54[/tex]
[tex]5*[42 - 6G] + 4G = 54[/tex]
Open bracket
[tex]210 - 30G + 4G = 54[/tex]
[tex]210 -26G = 54[/tex]
Collect like terms
[tex]-26G = 54 - 210\\[/tex]
[tex]-26G = -156[/tex]
Divide both sides by -26
[tex]G = 6[/tex]
Substitute [tex]G = 6[/tex] in [tex]J = 42 - 6G[/tex]
[tex]J = 42 - 6*6[/tex]
[tex]J = 42-36[/tex]
[tex]J = 6[/tex]
In the figure below, triangle RPQ is similar to triangle RTS.
Triangle R P Q. Side P R is 42 and side P Q is x. Triangle S R T. Side S T is 36 and side R T is 28.
What is the distance between P and Q?
24
42
50
54
answer D.
Answer:
the correct answer must be 54, but your problem description was not clear defining what corner (letter) of what triangle corresponds to what corner (letter) of the other. but by deduction of what it cannot be, 54 remains.
Step-by-step explanation:
the most likely problem interpretation :
is 42 (of RPQ) the longer or shorter side (compared to 36 and 28 of STR) ?
since the triangle are similar, their angles must be the same, and the side lengths of both triangles must have a constant factor in their relation to each other.
first assumption : 42 is the longer side of RPQ.
then the solution could only be 24 (the only solution option smaller than 42). then 42 must be of the same relation to 36, as 24 is to 28. which is wrong, because 42 is bigger than 36, but 24 is smaller than 28.
so, second assumption, 42 is the shorter side of RPQ.
then 42 is in the same relation to 28, as x is to 36.
so, 42/28 = x/36.
=> 42/7 = x/9
=> 6 = x/9
=> 6*9 = x = 54
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings a.bove 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 100°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.
A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the reading that separates the bottom 4% from the others.
a) -1.89°
b) -1.63°
c) -1.75°
d) -1.48°
Answer:
c) -1.75°
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 0, standard deviation of 1:
This means that [tex]\mu = 0, \sigma = 1[/tex]
Find the reading that separates the bottom 4% from the others.
This is the 4th percentile, which is X when Z has a p-value of 0.04, so X when Z = -1.75.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.75 = \frac{X - 0}{1}[/tex]
[tex]X = -1.75*1[/tex]
[tex]X = -1.75[/tex]
The correct answer is given by option c.
Find the mean, median, and range of the following set of numbers: 23,25,27,21,24,27
Answer:
Mean = 24.5
Median = 24.5
Mode = 27
Step-by-step explanation:
0.125,0.25,0.5,1 sequence
Answer:
1,2,4,8,16,32
Step-by-step explanation:
power of two sequence
Help plz:)))I’ll mark u Brainliest
Answer:
4/5
Step-by-step explanation:
Given :
A right angled triangle with sides 24 , 3 and 40 .And we need to find the value of sinZ .
We know that , sine is the ratio of perpendicular and Hypotenuse. So that ,
[tex]:\implies[/tex] sinZ = p/h
[tex]:\implies[/tex] sin Z = 32/40
[tex]:\implies[/tex] sin Z = 4/5
Hence the renquired answer is 4/5.
Consider the solid S described below. The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the x-axis are squares. Find the volume V of this solid.
Answer:
Volume = [tex]\frac{64}{3}[/tex]
Step-by-step explanation:
Given - Consider the solid S described below. The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the x-axis are squares.
To find - Find the volume V of this solid.
Solution -
Given that,
The equation of the line with both x-intercept and y-intercept as 4 is -
[tex]\frac{x}{4} + \frac{y}{4} = 1[/tex]
⇒x + y = 4
⇒y = 4 - x
Now,
Volume = [tex]\int\limits^a_b {A(x)} \, dx[/tex]
where
A(x) is the area of general cross-section.
It is given that,
Cross-sections perpendicular to the x-axis are squares.
So,
A(x) = (4 - x)²
As solid lies between x = 0 and x = 4
So,
The Volume becomes
Volume = [tex]\int\limits^4_0 {(4 - x)^{2} } \, dx[/tex]
= [tex]\int\limits^4_0 {[(4)^{2} + (x)^{2} - 8x] } \, dx[/tex]
= [tex]\int\limits^4_0 {[16 + x^{2} - 8x] } \, dx[/tex]
= [tex]{[16 x + \frac{x^{3}}{3} - \frac{8x^{2} }{2} ] } ^4_0[/tex]
= [tex]{[16(4 - 0) + \frac{4^{3}}{3} - \frac{0^{3}}{3} - 4 [4^{2} - 0^{2}] ] }[/tex]
= [tex]{[16(4) + \frac{64}{3} - 0 - 4 [16 - 0] ] }[/tex]
= [tex]{[64 + \frac{64}{3} - 64 ] }[/tex]
= [tex]\frac{64}{3}[/tex]
⇒Volume = [tex]\frac{64}{3}[/tex]
I WILL GIVE BRAINLIEST + LIKE + 5 STARS if you answer this short easy algebra question!!!!!!
Answer: 11pi/6, choice c
Step-by-step explanation:
Answer can be found on a unit circle. We had to memorize it in my class.
A computer company wants to determine the proportion of defective computer chips from a day's production. A
quality control specialist takes a random sample of 100 chips from the day's production and determines that there
are 12 defective chips. Assuming all conditions are met, he constructs a 95% confidence interval for the true
proportion of defective chips from a day's production. What are the calculations for this interval?
12 +1.65)
12(1-12)
100
O 12 +1.964
12(1-12)
100
0.0.12 +1.65
0.12(1-0.12)
100
0.12(1 -0.12)
O 0.12 +1.967
100
Answer:
0.12 ± 1.96 * √(0.12(0.88) / 100)
Step-by-step explanation:
Confidence interval :
Phat ± Zcritical * √(phat(1 -phat) / n)
Phat = 12/100 = 0.12
1 - phat = 0.88
Zcritical at 95% = 1.96
Hence, we have :
0.12 ± 1.96 * √(0.12(0.88) / 100)
0.12 ± 1.96 * 0.0324961
0.12 ± 0.0636924
Lower boundary = (0.12 - 0.0636924) = 0.0563
Upper boundary = 0.12 + 0.0636924 = 0.1837
The calculations for 95% confidence interval for this case is given as: [tex]CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}[/tex]
How to find the confidence interval for proportion with large sample ?For large enough sample( size > 30), let the population proportion of a quantity be denoted by random variable [tex]p[/tex]
Then, we get:
[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]
where
[tex]\hat{p}[/tex] = estimated(mean value) proportion of that quantity
and n = size of sample drawn.
It is visible that as we increase the value of n, the standard deviation decreases, therefore, forcing the values of population proportion to be closer to the estimated proportion.
Margin of error is the distance between the mean and one of the end point of the confidence interval(assuming its equal on both the sides of the mean). The margin of error with level of significance [tex]\alpha[/tex] is calculated as:
[tex]MOE = Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
where [tex]Z_{\alpha/2}[/tex] is the critical value of the test statistic for level of significance [tex]\alpha[/tex]
The confidence interval is then calculated as:
[tex]CI = \hat{p} \pm MOE[/tex]
For the considered case,
the confidence interval is to be found for 95% confidence, therefore,
level of significance = 100% - 95% = 5% = 0.05
At this level of significance, the critical value of test statistic Z is 1.96The sample size given is n = 100The estimated proportion of defective chips estimated from sample is:
[tex]\hat{p}[/tex] = Fraction of defective chips to total chips = 12/100 = 0.12Thus, we get the confidence interval for this case as:
[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}[/tex]
Thus, the calculations for 95% confidence interval for this case is given as: [tex]CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}[/tex]
Learn more about confidence interval for sample proportion here:
https://brainly.com/question/16427118
The Sine Function
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Plot the data on a scatter plot., Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.0001.
a. y = 67.577 sin(0.500 x - 1.959) + 20.077
b. y = 20.077 sin(0.500 x - 1.959) + 67.577
c. y = 20.077 sin (1.959 x - 0.500) + 67.577
d. y = 20.077 sin (67.577 x -1.959) + 0.500
Please select the best answer from the choices provided
Answer:
B. y = 20.077 sin(0.500 x - 1.959) + 67.577
Step-by-step explanation:
I calculated logically
Find the zeros
[tex]x^3+8x^2-20x+48[/tex]
Answer:
Graph each side of the equation. The solution is the x-value of the point of intersection.
x≈−10.37392996
Step-by-step explanation:
Solve the following expression when
b = 12
10 + b + b
Answer:
34
Step-by-step explanation:
Plug in 12 in place of b
10+b+b
10+12+12
34
Complete the dilation centered at point G with a scale factor of 2.
Answer:
G=(-4,5)
G=(2*-4,2*5)
G=(-8,10)
Step-by-step explanation:
Daniel measures the growth of his tomato plant and records the results in the table.
What was the average rate of growth during this time period for his plant to thenearest tenth?
Answer:
1.2
Step-by-step explanation: it just is
What is the solution to the equation 1 over 2 multiplied by n equals 7?
Answer:
n=14
Step-by-step explanation:
multiply both sides by two to get rid of 1/2 and you find n=14
Answer:
14
Step-by-step explanation:
A car manufacturer advertises that its new sports car has a turning radius of only 16 feet. The front tires are 4.5 feet apart. The path of the inside and outside tires is shown in the diagram. Compare the distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle.
Answer:
Solution given:
radius of small circle[r]=16-4.5ft=11.5ft
radius of large circle[R]=16ft
nowcircumference of small circle=2πr=2*3.14*11.5=72.22ft
circumference of large circle=2πR=2*3.14*16=100.48ft
distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle
=[tex]\frac{100.48}{72.22}=\frac{32}{23}[/tex]
ratio is 32:23.
NEED HELP WHATS THE LOCATION
Answer:
-9, 5
Step-by-step explanation:
Round the number 246.13687 to the nearest thousandth
Answer:
246.137
Step-by-step explanation:
246.13687 ≈ 246.137 (rounded to the nearest thousandth)
1) Solve for Side A.
2) Solve for Angle B.
Answer:
solution given;
let
AB=a
AC=b=30ft
AB=c=20ft
<A=115°
By using Cosine rule.
a²=b²+c²-2bc cos angle
a²=30²+20²-2*30*20 Cos 115°
a²=1807.1419
a=√[1807.1419]
a=42.51
Side A is 42.51ft.
Again
Cos B=[tex] \frac{a²+c²-b²}{2ac} [/tex]
Cos B=[tex] \frac{42.51²+20²-30²}{2*42.51*20} [/tex]
Cos B=0.7687
<B=Cos -¹(0.7687)
<B=39.46°
Angle B is 39.46
___________________________________
To find [tex] \tt{\overline{A}}[/tex]Given that:[tex]\quad\quad\quad\quad\tt{ \angle{A = 115° }}[/tex]
Using cosine rule:[tex] \tt{\overline{A}²=b²+c²-2bc \cos( \angle{a}) }[/tex]
[tex] \tt{\overline{A}²=(30)²+(20)²-2(30)(20) \cos( \angle{115°}) }[/tex]
[tex] \tt{\overline{A}²=900+400-2(600) \cos( \angle{115°}) }[/tex]
[tex] \tt{\overline{A}²=1300-1200 \cos( \angle{115°}) }[/tex]
[tex] \tt{\overline{A} ²=1807.1419}[/tex]
[tex] \tt{\overline{A}= \sqrt{ 1807.1419}}[/tex]
[tex] \pink {\boxed{ \tt{ \overline{A}=42.51}}}[/tex]
Now, to find [tex]\tt{ \angle{B}}[/tex][tex] \tt{ cos\;B = \frac{ {a}^{2} + {c}^{2} - {b}^{2} }{2ac} }[/tex]
[tex] \tt{ cos\:B = \frac{ {42.51}^{2} + {20}^{2} - {30}^{2} }{2(42.51)(20)} }[/tex]
[tex] \tt{ cos\:B = 0.7687}[/tex]
[tex] \tt{ \angle{B} = { \cos}^{ - 1} (0.7687)}[/tex]
[tex]\pink{\boxed{\tt{ \angle{B} = {39.46°}}}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
A manufacturer of flashlight batteries took a sample of 130 batteries from a day's production and used them continuously until they were drained. The number of hours until failure were recorded. Given below is the boxplot of the number of hours it took to drain each of the 130 batteries. The distribution of the number of hours is
Answer:
Left skewed
Step-by-step explanation:
The distribution displayed in the boxplot Given is negatively skewed, hence, a left tail skweness. Skewness can be determined in a box plot, if the line of the median cuts or divides the box into unequal halves, such that sides relative to the median are longer Than each other. If the longer side is to the left of the median, we have left skewness; to the right we have right skewness. If the sides are equal, then the distribution is symmetric.
For the scenario above, the longwr side is to the left of the median, hence we have left skewness.
Which of the following statements is INCORRECT?
please help me this assignment is overdue
Answer:
B. DE = 58
Step-by-step explanation:
The base angles (<F and <E) of the ∆DEF are congruent/equal. This means that ∆DEF is an isosceles triangle.
This implies that, the two sides (DF and DE) that are opposite to the base angles are congruent/equal.
DE = 40 (given) => option B is INCORRECT
Therefore:
8x - 24 = 40
Solve for x
8x - 24 + 24 = 40 + 24
8x = 64
8x/8 = 64/8
x = 8 (option C is CORRECT)
Let's find DF and FE:
DF = 8x - 24
Plug in the value of x
DF = 8(8) - 24
DF = 64 - 24
DF = 40 (Option D is CORRECT)
FE = 6x + 10
FE = 6(8) + 10
FE = 48 + 10
FE = 58 (Option A is CORRECT)
The only incorrect statement is:
B. DE = 58
write down the value of the 6 in the number 2693
Answer:
6 hundred
Step-by-step explanation:
the value of 6 in 2693 is 6 hundred as :-
TH. H. T. O
2. 6. 9. 3
6 comes under the hundred's value
plzzz mark me as brainliest
Answer:
6 hundred
Step-by-step explanation:
tama po yan im suree lab yow
Solve for y
y/3=5
confused
Answer: y = 15
Step-by-step explanation: 5*3 = 15 All you have to do is reverse the equation. 15/3 = 5.
Answer:
y = 15
Step-by-step explanation:
y/3 = 5
Multiply both sides by 3
y = 15
