A group of 59 randomly selected students have a mean score of 29.5 with a standard
deviation of 5.2 on a placement test. What is the 90% confidence interval for the mean
score, ", of all students taking the test?
Answer:
[tex]29.5-1.671\frac{5.2}{\sqrt{59}}=28.37[/tex]
[tex]29.5+1.671\frac{5.2}{\sqrt{59}}=30.63[/tex]
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
Step-by-step explanation:
Information given
[tex]\bar X = 29.5[/tex] represent the sample mean
[tex]\mu[/tex] population mean
s= 5.2 represent the sample standard deviation
n=59 represent the sample size
Confidence interval
The confidence interval for the true mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
The degrees of freedom are given by:
[tex]df=n-1=59-1=58[/tex]
The Confidence interval is 0.90 or 90%, the significance is [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and the critical value is [tex]t_{\alpha/2}=1.671[/tex]
Now we have everything in order to replace into formula (1):
[tex]29.5-1.671\frac{5.2}{\sqrt{59}}=28.37[/tex]
[tex]29.5+1.671\frac{5.2}{\sqrt{59}}=30.63[/tex]
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
write the remainder as a decimal for 9317 ÷ 95
Answer:
98.0736
Step-by-step explanation:
Solve x :
[tex]{(3 {x}^{2} - 8x + 5)}^{x + 1} = 1[/tex]
We want this expression to fall in one of the two cases:
[tex]\alpha ^ 0 = 1 = 1^\beta[/tex]
So, if the exponent is zero, the base can assume any value, because everything (expect zero) to the power of zero is one.
Similarly, if the base is 1, the exponent can be any number, becuase 1 raised to any exponent is still one.
If we are looking for the "zero exponent" strategy, we simply have to impose
[tex]x+1=0\iff x=-1[/tex]
In this case, the expression becomes [tex]16^0=1[/tex], so we avoided the [tex]0^0[/tex] case and we're good.
If we are looking for the "base equals one" strategy, we must impose
[tex]3x^2-8x+5 = 1 \iff 3x^2-8x+4=0 \iff x=\dfrac{2}{3}\lor x=2[/tex]
Answer:
x = -1, ⅔, 2
Step-by-step explanation:
3x² - 8x + 5
3x² - 3x - 5x + 5
3x(x - 1) - 5(x - 1)
(3x - 5)(x - 1)
[3x² - 8x + 5]^(x+1) = 1
The ourput is 1 when:
1) The power is 0
x + 1 = 0
x = -1
2) base is 1
3x² - 8x + 5 = 1
3x² - 8x + 4 = 0
3x² - 6x - 2x + 4 = 0
3x(x - 2) - 2(x - 2) = 0
(3x - 2)(x - 2) = 0
x = 2 , ⅔
Therefore, 3 solutions
x = -1, ⅔ , 2
What quadrants is csc less than 0.
Answer:
Quadrant 2
Step-by-step explanation:
Write a recursive formula for the perimeter of the
nth figure.
an = an- 1 + 6 where a = 4
an = n2 where ay = 1
an = an- 1 + 9 where a1 = 4
DONE
Answer:
Option A
Step-by-step explanation:
So in other words, an = an-1 + 6 where a1 = 4. Correct on Ed 2020!
Answer:
A
Step-by-step explanation:
Use simple interest to find the ending balance.
$53,300 at 4.7% for
3 3/4 years URGENT I will give you brainliest
Answer:
The ending balance would be:
EB = Money x (1 + rate)^year
= 53300 x (1 + 4.7/100)^(3.75) = 63318.01
Hope this helps!
:)
Answer:
$62,694.125
Step-by-step explanation:
Interest = 53300 × (4.7/100) × 3.75
Interest = 9394.135
Balance = 53300 + 9394.135
= $62,694.125
Anyone know what part B is?
The Exterior Angle Theorem states that basically ∠ACB and ∠ACD are supplementary, meaning they should equal 180 when added together. Since you know one side of the whole angle is 35, simply do 180-35, which equals 145°.
Which is a quantitative variable A) political party of voter
B) grade level for high school students
C) votes counted for each candidate in an election
D) names of candidates in an election
Answer:
The answer is C
Step-by-step explanation:
The data to represent average test scores for a class of 16 students includes an outlier value of 91. If the outlier is included, then the mean is 80. Which statement is always true about the new data when the outlier is removed?
The median would decrease.
The median would increase.
The mean would decrease.
The mean would increase.
Answer:
c the mean would decrease
Step-by-step explanation:
Answer:
C) The mean would decrease!!
In a class of 20 students, 60% are girls. How many students are girls?
Answer:
12
Step-by-step explanation:
Take the number of students and multiply by the percent
20 * 60 %
Put in decimal form
20 *.60
12
There are 12 girls
Answer: 12 Students are girls.
60% of 20 students is 12. Which means the 12 students in the class are girls.
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length in inches. There are markings from 10 to 13 on each line at intervals of one. For the top line there are 4 dots above the first mark, 4 dots above the second mark, and 2 dots above the third mark. For the bottom line there are 2 dots above the second mark, 3 dots above the third mark, and 5 dots above the fourth mark.
Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?
A. Group B, because five children have a forearm length longer than 12 inches.
B. Group B, because a child in the group has the least forearm length of 10 inches.
C. Group A, because no child in the group has a forearm length longer than 12 inches.
D. Group A, because four children in the group have the least forearm length of 10 inches.
Answer:
The corect answer is : Group A because 4 children have a forarm length longer than 12 inches.
Step-by-step explanation:
I did the test and got it right! :D
Answer:
D. Group A, because four children in the group have the least forearm length of 10 inches.
Step-by-step explanation:
It can be seen that more children in group B have forearm length more than 12 inches and there are no children who have forearm length greater than 12 inches in group A. So, based on the visual inspection of the dot plots, group A, appears to have longer average forearm length.In order to verify the claim let us find the meanMean of Group A
[tex]\dfrac{10\times 4+11\times 4+12\times 2}{10}=10.8\ \text{inches}[/tex]
Mean of Group B
[tex]\dfrac{11\times 2+12\times 3+13\times 5}{10}=12.3\ \text{inches}[/tex]
So, group A has shorter average forearm length.
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What is the area of the following parallelogram in square centimeters?
396 cm2
360 cm2
3.6 cm2
3.96 cm2
Answer:
3.6 cm²
Step-by-step explanation:
18 mm = 1.8 cm
A = 2cm×1.8cm = 3.6 cm²
Your answer would be the third option, 3.6 cm².
The equation for the area of a parallelogram is the same for the area of a rectangle, which is base multiplied by perpendicular height. Because all of the answers are given in cm², we should convert all lengths in mm to cm.
This means that 18mm because 1.8cm (by dividing by 10).
Now we just do 1.8 × 2 = 3.6cm²
I hope this helps!
To get from his house to the lecture hall at school, Lin walked west 651 feet. After class, he walked northeast 910 feet to the gym. Finally, he walked 615 feet back to his house from the gym.
Answer:
the right answer is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
what is the median 3 2 -9 9 -3 -4 -1
Answer:
the median is -1
-9 -4 -3 (-1) 2 3 9
stay safe and have a good day
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⊕ΘΞΠΤ⊕
∵∴∵∴∵∴∵∴∵
Answer:
-1
Step-by-step explanation:
First put the numbers in order from smallest to largest
-9 -4 -3 -1 2 3 9
The median is the middle number
The middle number is -1
Find the parallelogram below. Use the formula: A = b x h.
Answer:A = b x h
Step-by-step explanation:
I can't see the problem but i can give help u have to follow the formuls
5 in
Q
2 in
R
PQ =
Using Pythagorean theorem
By applying Pythagorean's theorem to right-angled triangle PQR, the length of segment PQ is equal to [tex]\sqrt{29}[/tex] units.
In Mathematics and Geometry, Pythagorean theorem is an Euclidean postulate that can be modeled or represented by the following mathematical equation:
[tex]c^2=a^2+b^2[/tex]
Where:
a is the opposite side of a right-angled triangle.b is the adjacent side of a right-angled triangle.c is the hypotenuse of a right-angled triangle.By applying Pythagorean's theorem to right-angled triangle PQR, the length of segment PQ can be calculated as follows;
[tex]PQ^2=QR^2+PR^2\\\\PQ^2=2^2+5^2\\\\PQ^2=4 + 25\\\\PQ=\sqrt{29}[/tex]units.
How much concentrated 12 M sulfuric acid should be added to prepare a 250 mL of 1.5 m solution?
3.Can we multiply a 2x3 matrix by a 3x2 matrix? If yes, what dimensions will the product matrix AB have ?
Answer:
Yes, the dimensions will be 2x2
Step-by-step explanation:
When multiplying matrices you have AxB by CxD. You can only multiply matrices if the inner number is the same.
Ex. 2x3 by 3x2 or QxD by DxW
The dimensions of the result will depend on the outer numbers.
Ex. 2x3 by 3x2 has a 2x2 result or QxD by DxW has a QxW result
Yes, you can multiply a 2x3 matrix by a 3x2 matrix. The result will be a 2x2 matrix because the number of rows in the first matrix and the number of columns in the second matrix define the dimensions of the product matrix.
Explanation:Yes, it is possible to multiply a 2x3 matrix by a 3x2 matrix. When multiplying matrices, the number of columns in the first matrix must be the same as the number of rows in the second matrix. Therefore, in this case, where we have a 2x3 matrix and a 3x2 matrix, the 3 columns in the first matrix and the 3 rows in the second matrix make multiplication possible.
The resulting product from the multiplication of these two matrices will be a new matrix whose dimensions are determined by the number of rows in the first matrix and the number of columns in the second matrix. In this case, as the first matrix has 2 rows and the second matrix has 2 columns, the resulting matrix will have dimensions of 2x2.
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PLEASE HELP I NEED THE ANSWER ASAP
Jason wrote a computer program that randomly generate one of the letters of his name. He runs the program three times. What is the probability that it generates either a J or an N all 3 times?
Answer:
0.064
Step-by-step explanation:
(2/5) * (2/5) * (2/5)
= 0.064
Hope this is helpful!!! :)
The probability that it generates either a J or an N all 3 times would be 0.064.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Jason wrote a computer program that randomly generate one of the letters of his name. He runs the program three times.
The probability that it generates either a J or an N all 3 times
[tex](2/5) \times (2/5) \times (2/5)\\\\8/125\\\\0.064[/tex]
Thus, the answer is 0.064.
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a drum have a diameter of 22 in and a 16 in deep find the volume of this drum
≈ 6079 in³
Step-by-step explanation:drum = cylinder
d = 2r => r = d/2 = 22in/2 = 11 in
h = 16 in
V = π·r²·h
= 3.14·(11in)²·16in
= 3.14·121in²·16in
= 6079, 04 in³
≈ 6079 in³
What is the volume of this rectangular pyramid?
3 yd
5 yd
5 yd
cubic yards
Which statement is true about this question -4(2p+5)+8p=-11
A. The equation has one solution, p=2
B. The equation has one solution, p=-2
C. The equation has no solution
D. The equation has infinetly many solutions
Option C. The equation has no solution is correct.
Which statement is true about this question -4(2p+5)+8p=-11
What is equation?
Equation is the relationship between variable and represented as is example of polynomial equation.
Since,
The equation terminated while simplifying
-8p-20+8p=-11
-20≠-11
Thus the given equation has no solution at any point.
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In the figure, which angle has the same measure as Z2?
A. 21
B. 23
C. 24
D. 25
Answer:
I think it is D
Step-by-step explanation:
Find the value of r in the following diagram.
The value of r is 3.75 from the diagram.
We have to find the value of r which is a radius.
ABC is a right angle triangle in the circle.
We find the value of r by using pythagoras theorem.
r²+9²=(6+r)²
r²+9²=36+12r+r²
9²=36+12r
81=36+12r
Subtract 36 from both sides:
81-36=12r
45=12r
Divide both sides by 12:
r=45/12
r=3.75
Hence, the value of r is 3.75.
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Write an equation that is perpendicular to y=4x- 10 and goes through the point (4,2)
Answer:
y = (-1/4)x + 3
Step-by-step explanation:
The slope of our equation is 4, so to find the slope of the perpendicular equation, we have that:
m1 * m2 = -1
Where m1 is the slope of the first equation and m2 is the slope of the perpendicular equation.
So, we have that:
4 * m2 = -1
m2 = -1/4
So the second equation is y = (-1/4)x + b
If the second equation goes through the point (4,2), for x = 4 we have y = 2, then:
2 = (-1/4)*4 + b
2 = -1 + b
b = 3
So the perpendicular equation is:
y = (-1/4)x + 3
A circle has the equation x2−12x+27=−y2+8y.
What is the equation of the circle in standard form, the location of its center, and the length of its radius?
The equation of the circle is (x−6)2+(y−4)2=25; the center is at (6,4), and the radius is 5 units.
The equation of the circle is (x−6)2+(y−4)2=5; the center is at (6,4), and the radius is 5–√ units.
The equation of the circle is (x−6)2+(y−4)2=5; the center is at (−6,−4), and the radius is 5–√ units.
The equation of the circle is (x−6)2+(y−4)2=25; the center is at (−6,−4), and the radius is 5 units.
Answer:
It's the first option.
Step-by-step explanation:
x^2 - 12x + 27 = - y^2 + 8y
x^2 - 12x + y^2 - 8y = -27 Completing the squares:
(x - 6)^2 - 36 + (y - 4)^2 - 16 = -27
(x - 6)^2 + (y - 4)^2 = -27 + 36 + 16
(x- 6)^2 + (y - 4)^2 = 25 is the standard equation.
The center is at (6, 4) and the radius is 5 units.
Answer:
first option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² - 12x + 27 = - y² + 8y ( subtract - y² + 8y from both sides )
x² - 12x + y² - 8y + 27 = 0 ( subtract 27 from both sides )
x² - 12x + y² - 8y = - 27
Using the method of completing the square on both the x and y terms
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 4)y + 16 = - 27 + 36 + 16
(x - 6)² + (y - 4)² = 25 ← in standard form
with centre = (6, 4 ) and r² = 25 ⇒ r = [tex]\sqrt{25}[/tex] = 5 → first option
The baker made 27 pies. Nine of the pies were cherry pies and the rest were pumpkin pies. The baker placed the pumpkin pies in rows of 3 pies each. How many rows of pumpkin pies did the baker make?
27-9=18. The baker made 18 pumpkin pies.
To prove our answer,,
18 divided by 3 is 6, so it is possible to place them in rows by three.
Your confirmed answer is 18.
I hope this helps!
Brainliest?
Describe what pie is and explain how it Is used in finding the circumference of a circle
Answer:
Step-by-step explanation:
Pi is the ratio of a circle's circumference to its diameter.
The circumference = π * the diameter of the circle (Pi multiplied by the diameter of the circle)
Hope this helps!
The Cole family owns an above-ground circular swimming pool that has walls made of aluminum. Find the length (l) of aluminum surrounding the pool as shown if the radius is 15 feet. (use π=3.14 )
Answer:
The length of aluminium surrounding the pool is 94.20 ft.
Step-by-step explanation:
The picture represents the circular swimming pool that has walls of aluminium surround it.
The circumference of a circle is the distance around a circle. It is the curved line that goes round the circle. The question wants us to find the circumference of the aluminium surrounding the circular pool.
circumference of a circle = 2πr
circumference of a circle = 2 × 3.14 × 15
circumference of a circle = 30 × 3.14
circumference of a circle = 94.2 ft
The length of aluminium surrounding the pool is 94.20 ft.
Match the correct translation with the given transformation.
Answer:
please explain the questions