Answer:
At 90% confidence interval, the estimate of the mean breaking weight is (770.45, 778.15)
Step-by-step explanation:
Given that:
sample size n =43
sample mean x = 774.3
standard deviation = 15.4
confidence interval = 90%
At C.I of 90% , the level of significance ∝ = 1 - C.I
the level of significance ∝ = 1 - 0.90
the level of significance ∝ = 0.10
The critical value for z at this level of significance is [tex]z_{\alpha/2} = z_{0.10/2}[/tex]
[tex]z_{0.05}[/tex] = 1.64
The margin of error can be computed as follows:
Margin of error = [tex]\mathtt{z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{\sqrt{43}}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times \dfrac{15.4}{6.5574}}[/tex]
Margin of error = [tex]\mathtt{1.64 \times2.3485}[/tex]
Margin of error = 3.8515
The mean breaking weight for the 90% confidence interval is = [tex]\mathtt{\overline x \pm E < \mu }[/tex]
= [tex]\mathtt{\overline x - E < \mu < \overline x + E}[/tex]
= ( 774.3 - 3.8515 < μ < 774.3 + 3.8515 )
= (770.4485, 778.1515)
[tex]\simeq[/tex] (770.45, 778.15)
What is the sum of the three solutions (find the values for x, y, and z, then add the answers)? 2x + 3y − z = 5 x − 3y + 2z = −6 3x + y − 4z = −8 Show All Work !!
Answer:
x + y + z = 4
Step-by-step explanation:
Give equations are,
2x + 3y - z = 5 --------(1)
x - 3y + 2z = -6 --------(2)
3x + y - 4z = -8 --------(3)
By adding equations (1) and (2),
(2x + 3y - z) + (x - 3y + 2z) = 5 - 6
3x + z = -1 -------(4)
By multiplying equation (3) by 3, then by adding to equation (2)
(9x + 3y - 12z) + (x - 3y + 2z) = -24 - 6
10x - 10z = -30
x - z = -3 --------- (5)
By adding equation (4) and (5),
(3x + z) + (x - z) = -1 - 3
4x = -4
x = -1
From equation (5),
-1 - z = -3
z = 2
From equation (1),
2(-1) + 3y - 2 = 5
-2 + 3y - 2 = 5
3y = 5 + 4
y = 3
Therefore, x + y + z = -1 + 3 + 2
x + y + z = 4
WILL GIVE BRAINLIEST
intercept is the length from origin to intersection point of respective axis,
it intersects x axis at -7.5 and y is 0 so x intercept is (-7.5,0)
and similarly, y intercept is (0,5.5)
Answer:
(- 7.5, 0 ) and (0, 5.5 )
Step-by-step explanation:
The x- intercept is the value of x on the x- axis where the line crosses.
Here the line crosses the x- axis at - 7.5 , thus the coordinates of x- intercept
(- 7.5, 0 )
The y- intercept is the value of y on the y- axis where the line crosses.
Here the line crosses the y- axis at 5.5 thus the coordinates of the y- intercept
(0, 5.5 )
the work in an office takes 180 hours to complete every work
each person in the office works for 35 hours a week
what is the smallest number of people needed to complete the work?
Answer:
Minimum People required = 5
Step-by-step explanation:
Total hours required to complete the work every week = 150 hrs.
Number of hours worked per week by one person = 32 hr
∴ Number of people required to complete the work per week = Total number of hrs to complete the work ÷ No of hrs work per person
∴ Number of people = 150 ÷ 32
∴ Number of people = 4.6875
This is the minimum number of people. But no of people cannot be a fraction.
Thus, rounding the number to next integer.
∴ Smallest number of people needed to complete the work = 5
n/8 = (-7) help please
Answer:
n = -56
Step-by-step explanation:
n/8 = (-7)
Multiply each side by 8
n/8* 8 = (-7)*8
n = -56
Answer:
[tex]n=-56[/tex]
Step-by-step explanation:
We can use algebra and simplify the equation until we have n isolated.
[tex]\frac{n}{8} = -7\\\frac{n}{8}\cdot8 = -7\cdot8\\\\n=-56[/tex]
Hope this helped!
match each polynomial with its degree
degree 1
degree 2
degree 3
degree 4
a.8x^2+7+1/2x^3-3 (1/2 is a fraction)
b.3x^2-2x+4
c.(x^2)^2+(x+4)^2
d.5x+5
Answer:
d
b
a
c
Step-by-step explanation:
degree 1 - 5x+5 - d.
degree 2- 3x^2-2x+4- b.
degree 3 - 1/2x^3+8x^2-3- a.
degree 4 - x^4+(x+4)^2- c
Write down inequalities,that are satisfied by these sets of integers between -10 and 10
1,2,3,4,5,6,7,8,9,10
-3,-4,-5,-6,-7,-8,-9,-10
9,10
-10
Answer:
Below
Step-by-step explanation:
Notice that x is between 10 and -10 but takes only the values that are integers.
The inequalities:
● we can write an inequality that includes all these values.
● -10 《 x 《 10
This is a possible inequality
Multiply both sides by 2 and you will get a new one:
● -20 《 2x 《 20
You can multiply it by any number to generate a new inequality.
Or you can add or substract any number.
m∠QPSm, is a straight angle m∠RPS=6x+11 m∠QPR=7x+143 ;Find RPS
Answer:
23
Step-by-step explanation:
6x + 11 + 7x + 143 = 180
13x + 154 = 180
13x = 26
x = 2
m<RPS = 6(2) + 11 = 23
What’s up guys, pls help 19b)
Thanks
Answer:
90°
Step-by-step explanation:
As given in the figure:
[tex]AC \perp CE\\
\therefore m\angle ACE = 90\degree \\ [/tex]
A group of friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves
Complete question:
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.
Answer:
The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill
The solution x=60 represents the total food bill
Step-by-step explanation:
Given the following :
Total amount spent = $76
Amount paid as tip = $16
Number of friends = 8
Total Cost of lunch consists of:
Actual Cost of food + amount of tip
Let actual cost of food = x
Total cost of lunch is thus :
x + $16 = $76
If the friends are to each the bill equally:
Then:
Divide both sides by 8:
(1/8)* (x + 16) = 76/8
Therefore,
(x + 16) / 8 = 76/8
x + 16 = 76 / 8
(x + 16)/8 = 9.5
x + 16 = 9.5 * 8
x + 16 = 76
x = 76 - 16
x = 60
Answer:
A
and
C
Step-by-step explanation:
Please Help Me With This I Will Mark Brainliest If You Are Correct!!!!!!!!!!! Determine the intervals on which the function is increasing, decreasing, and constant. A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. A). Increasing x 0 B). Increasing x > 0; Decreasing x 3 D). Increasing x > 3; Decreasing x < 3
Answer:
Increasing x> 3
Decreasing x< 3
Step-by-step explanation:
If you imagine drawing a tangent line (a line which touches a curve or shape at one point) at some point on the graph, you can see if a curve is increasing or decreasing at that point; and on the whole interval.
Doing this I find that the curve is decreasing on x< 3 and increases on x> 3
u and v are position vectors with terminal points at (-8, 5) and (-3, -12), respectively. Find the terminal point of u + v
(-11, -7)
(-11, 7)
(-5, -7)
(5, -17)
Answer:
(-11,-7)
Step-by-step explanation:
U V
(-8,5) + (-3,-12)
(-8 - 3) , (5 - 12)
-11 , -7
(-11,7)
Answer:
(-11,-7)
Step-by-step explanation:
u = (-8, 5)
v = (-3, -12)
u+v = ( -8+-3, 5+-12)
= (-11,-7)
I need help pls and I will give a 5 star rating and a big thank you comrades.
Answer:
Option (C) : y = 6 / 11
Step-by-step explanation:
To find Horizontal Asymptote of the function, you need to see degree of of numerator and denominator.
Since, the degrees of the numerator and denominator are the same,
Horizontal Asymptote = leading coefficient of the numerator divided byleading coefficient of the denominator
Therefore,
Horizontal Asymptote = 6 / 11
What is the following product? StartRoot 12 EndRoot times StartRoot 18 EndRoot StartRoot 30 EndRoot
Answer:
[tex] 6\sqrt{6} [/tex]
Step-by-step explanation:
[tex] \sqrt{12}\sqrt{18} = [/tex]
[tex] = \sqrt{12 \cdot 18} [/tex]
[tex] = \sqrt{4 \cdot 3 \cdot 9 \cdot 2} [/tex]
[tex] = \sqrt{36 \cdot 6} [/tex]
[tex] = \sqrt{36}\sqrt{6} [/tex]
[tex] = 6\sqrt{6} [/tex]
Following are the step by step solutions to the given expression:
Given:
[tex]\to \sqrt{12} \times \sqrt{18} \sqrt{30}[/tex]
To find:
solve=?
Solution:
[tex]\to \sqrt{12} \times \sqrt{18} \sqrt{30}[/tex]
[tex]\to \sqrt{2\times 2 \times 3} \times \sqrt{2\times 3 \times 3} \sqrt{2 \times 3 \times 5} \\\\ [/tex]
[tex]\to 2\sqrt{3} \times 3\sqrt{2} \sqrt{2 \times 3 \times 5} \\\\ \to 6\times \sqrt{3} \times \sqrt{2} \sqrt{2\times 3 \times 5} \\\\ \to 6\times \sqrt{3} \times \sqrt{2} \times \sqrt{2}\times \sqrt{3} \times \sqrt{5} \\\\ \to 6 \times 3 \times 2 \times \sqrt{5} \\\\ \to 36 \sqrt{5}[/tex]
Therefore, the final answer is "[tex]36\sqrt{5}[/tex]"
Learn more:
brainly.com/question/24050871
7. Consider a topograph with values 1,7,-2 as in the margin (pictured).
Fill in the ?s to satisfy the arithmetic progression rule
Answer:
see below
Step-by-step explanation:
The "arithmetic progression rule" requires the numbers on either side of an edge make an arithmetic progression with the numbers at either end.
If we label the variables 'a', 'b', 'c' clockwise from top, then the rule means we have ...
2a -b +2c = 1
2a +2b -c = 7
-a +2b +2c = -2
Solution
Adding twice the second equation to each of the other two gives ...
2(2a +2b -c) +(2a -b +2c) = 2(7) +(1)
6a +3b = 15 . . . . [eq4]
and
2(2a +2b -c) +(-a +2b +2c) = 2(7) +(-2)
3a +6b = 12 . . . . [eq5]
Subtracting [eq5] from twice [eq4] we have ...
2(6a +3b) -(3a +6b) = 2(15) -(12)
9a = 18
a = 2
From [eq4], we can find b:
b = (15 -6a)/3 = 5 -2a = 5 -2(2) = 1
From [eq2] we can find c:
c = 2(a+b) -7 = 2(2+1) -7 = -1
These values are shown on the diagram below.
help with this you guys i know im asking to many questions and sorry because im going to keep asking them.
D is your answer please like this answer
with a tax rate of 0.0200, a tax bill of 1050 corresponds to an assessed valuation of
Answer:
$52,500
Step-by-step explanation:
1050/0.0200=52500
Answer:
B. 52,500
Step-by-step explanation:
he blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 65.2 and 429.4
Answer:
The approximate percentage of women with platelet counts within 3 standard deviations of the mean is 99.7%.
Step-by-step explanation:
We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7.
Let X = the blood platelet counts of a group of women
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 247.3
[tex]\sigma[/tex] = standard deviation = 60.7
Now, according to the empirical rule;
68% of the data values lie within one standard deviation of the mean.95% of the data values lie within two standard deviations of the mean.99.7% of the data values lie within three standard deviations of the mean.Since it is stated that we have to calculate the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 65.2 and 429.4, i.e;
z-score for 65.2 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{65.2-247.3}{60.7}[/tex] = -3
z-score for 429.4 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{429.4-247.3}{60.7}[/tex] = 3
So, it means that the approximate percentage of women with platelet counts within 3 standard deviations of the mean is 99.7%.
Gary is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below:
A triangle ABC is shown. D is a point on side AB and E is a point on side AC. Points D and E are joined using a straight line.
He starts with the assumption that segment DE is parallel to segment BC.
Which inequality will he use to contradict the assumption?
Answer:
That Ratios aren't equal.
Step-by-step explanation:
Given: DE is || to BC.
So in order to make this false then we have to say that the sides aren't proprtional, making it not possible to get the ratios equal.
(See the Triangle proprtionality theorem or the triangle midsegment theorem)
Answer:
4:10 ≠ 6:14
Step-by-step explanation:
bc i said so
What is the degree of the monomial 5x^4? A. Degree 20 B. Degree 5 C. Degree 9 D. Degree 4
Answer:
Solution : Degree 4
Step-by-step explanation:
We only have one variable in this case, x. Therefore we can take the degree of this variable to be our solution, 4. As you can see x^4 will have a degree of 4, as that is the exponent present.
plz help me. how many solutions
Answer:
no solutions
Step-by-step explanation:
2y = 4x+6
y = 2x+6
Divide the first equation by 2
y = 2x+3
These are parallel lines ( same slope) but different y intercepts
They will never intersect, so they have no solutions
Answer:
B No solutions
Step-by-step explanation:
2y = 4x + 6 first equatión
y = 2x + 6 second equation
from the first equation
y = (4x+6)/2
y = 4x/2 + 6/2
y = 2x + 3 third equation
matching second equatión and third equation
2x + 6 = 2x + 3
2x - 2x = 3 - 6
0 ≠ -3
then:
Β No solutions
What is the exponential form of log9 5 = y
Answer:
y = 0.732
Step-by-step explanation:
log3²(5) = y
(1/2) × log3(5) = y
y = (1/2) × log3(5)
y = 0.732487
y = 0.732 ( 3 sig.fig )
The tee for the sixth hole on a golf course is 400 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
181.8yd
Step-by-step explanation:
Simplify the following expression.
Answer:
3x+11y-3
Step-by-step explanation:
Hey! So here is what you do to solve the problem-
Combine like terms:
(x) 5x-2x=3x
(y) 3y+8y=11y
(#) 7-10 =-3
So....
3x+11y-3 is your answer!
Hope this helps!:)
What is m
Round the answer to the nearest whole number.
O 30°
O 35°
O 55°
O 60°
Answer:
30
Step-by-step explanation:
fufyfuf7fjcjcufuy7fufucyyxyvkbuvufudydy shut up
Jermiah answer 90% of the questions on his test correctly. There are 40 questions on the test
Answer:
36 answered correctly
Step-by-step explanation:
Hey there!
Well 90% of 40 is 36.
This is true because 90% as a fraction not simplified is 36/40 and when we do,
36 ÷ 40 we get .9.
And we move the decimal places 2 times to the right in .9 and we get 90%.
Hope this helps :)
Answer:
36
Step-by-step explanation:
If the sphere shown above has a radius of 17 units, then what is the approximate volume of the sphere?
A.
385.33 cubic units
B.
4,913 cubic units
C.
6,550.67 cubic units
D.
3,275.34 cubic units
Answer:
20582.195 unitsStep-by-step explanation:
This problem is on the mensuration of solids.
A sphere is a solid shape.
Given data
radius of sphere = 17 units
The volume of a sphere can be expressed as below
[tex]volume = \frac{4}{3}\pi r^3[/tex]
Substituting our data into the expression we have
[tex]volume = \frac{4}{3}*3.142*17^3[/tex]
[tex]volume = \frac{4}{3}*3.142*4913\\\\volume = \frac{61746.584}{3}= 20582.195[/tex]
The volume of the sphere is given as
20582.195 units
Find the value of x in the figure below.
A. 25
B. 35
C. 45
D. 65
Answer:x=45
Step-by-step explanation:
FACTOR THIS EXPRESSION -385y LOOK AT THE SCREENSHOT THANKS AND BRAINLIST IF CORRECT PLEASE HELP
Answer:
-1*5*7*11*y
Step-by-step explanation:
This is the prime factorization of 385y times -1.
Solve: 5x2 + 25x = 0
Answer:
x = -0.4
x = -(2/5)
Answer:
x = ± √5
Step-by-step explanation:
Please indicate exponentiation by using the symbol " ^ ":
5x^2 + 25x = 0
Divide all three terms by 5. We get:
x^2 + 5 = 0, or x^2 = -5
Then x = ± √5
pls find the answer for question 2
Answer:
c
Step-by-step explanation:
x³ - y³ ← is a difference of cubes and factors as
x³ - y³ = (x - y)(x² + xy + y²)
Given
[tex]\frac{x}{y}[/tex] + [tex]\frac{y}{x}[/tex] = - 1
Multiply through by xy to clear the fractions
x² + y² = - xy ← substitute into second factor of expansion
x³ - y³ = (x - y)(- xy + xy) = (x - y) × 0 = 0 → c
Answer:
The answer is C. 0
Step-by-step explanation:
since
[tex] \frac{x}{y} + \frac{y}{x } = - 1[/tex]
we multiply both sides by xy to cancel their denominators and multiply -1 by xy
so we have
[tex]xy( \frac{x}{y}) + xy( \frac{x}{y} ) = xy \times - 1[/tex]
we get our answer as
[tex] {x}^{2} + {y}^{2} = - xy[/tex]
we were given the difference of cubes that is
[tex] {x}^{3} - {y}^{3} [/tex]
which is =
[tex](x - y)( {x}^{2} + xy + {y}^{2} )[/tex]
so since,
[tex] {x}^{2} + {y}^{2} = - xy[/tex]
we substitute,
[tex](x - y)( - xy + xy) = (x - y)(0) = 0[/tex]
