Answer:
The 95% confidence interval for the population mean is between $140.89 and $159.11
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample. So
[tex]M = 1.96\frac{36}{\sqrt{60}} = 9.11[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is $150 - $9.11 = $140.89
The upper end of the interval is the sample mean added to M. So it is $150 + $9.11 = $159.11
The 95% confidence interval for the population mean is between $140.89 and $159.11
2s + 4 = 20
s = what
someone help
me plsss
Answer:
from what i can see it looks like answer B: 2
I WILL GIVE BRAINLIEST IF YOU PLEASE CAN GIVE ME THE RIGHT ANSWER
Answer:
D please give brainliest
Step-by-step explanation:
[tex]5x^{2} + x-7=[/tex]
Equation: [tex]5x^2+x-7[/tex]
Since there aren't any like terms and it can't be factored, your answer would be:
[tex]5x^2+x-7[/tex]
Hope this answer helped you!
I'm not too good at Math PLZ HELP...
What is the rule for the function that is graphed?
• y = 2x
• y = 3x + 2
• y = 2x + 2
• y = x – 2
Answer:
I am not fully sure, but I believe y=3x+2 as for on the x axis it is on -1 and going up 2 times and one to the right it will give you the y axis part which is 2 and you nade 3 moves so it is 3x for the moves and 2 for y.
Answer:
y = 2x + 2
Step-by-step explanation:
i did the exact same question on an assignment and got it right!:)
Find the image of (-3,5) reflected across the x-axis
Answer:
(-3,-5)
Step-by-step explanation:
Just flip the points over the X-Axis.
If the plane climbed 242 more feet at an angle of 2° degrees. How much further did the plane travel to reach its maximum height in miles (b)?
Answer:
244
Step-by-step explanation:
solve for x: -30=5(x+1)
Answer:
x= -7
Step-by-step explanation:
30 divided by 5 = 6 and -7+1 - 6 -6x5=-30
Answer:
x=-7
Step-by-step explanation:
-30=5(x+1)
-30/5= x+1
-6=x+1
-6-1=x
-7=x
x=-7
Students at three elementary schools collected a total of 29,294 cans of food to donate to a local food bank. Students at Johnson Elementary collected 9,987 cans of food, while students at Lincoln Elementary School collected 12,462 cans of food. How many cans of food did students at Richardson Elementary School collect
Answer:
6,845 cans
Step-by-step explanation:
Total of 29,294 cans of food to donate to a local food bank
Students at Johnson Elementary collected 9,987 cans of food
Students at Lincoln Elementary School collected 12,462 cans of food.
Total number of food can collected =
Food cans at Johnson Elementary + Food cans at Lincoln Elementary +
Food cans at Richardson Elementary
The Food cans collected at Richardson Elementary = Total food cans - (Food cans at Johnson Elementary + Food cans at Lincoln Elementary )
= 29,294 cans - (9,987 + 12,462) cans
= 29,294 cans - 22,449 cans
= 6,845 cans
Therefore, the cans of food that the students at Richardson Elementary School collected is 6,845 cans
3. Which equation can be represented by the graph shown below?
Answer:
y = -1/3x + 12/5
Step-by-step explanation:
Can you help me please ?:)
the awnser is 14.8 i think. Step-by-step explanation:
Factor a2 - 24a + 144.
Answer:
Step-by-step explanation:
sum = -24
Product = 144
Factors = (-12) , (-12)
a² - 24a +144 = a² - 12a -12a + (-12) *(-12)
= a(a - 12) -12(a -12)
= (a -12)(a-12)
Answer:
It's C
Step-by-step explanation:
(a-12)(a-12)
a(a-12)-12(a-12)
a²-12a-12a+144
a²-24a+144
2(n+5)= -2 pls help this urgent pls
Answer:
-120 = N
Step-by-step explanation:
Find the unit rate. 123 miles in 3 hours
Remember, you are figuring out how many miles will be traveled in 1 hour.
Answer: _____ miles in 1 hour OR ____ miles per hour OR ____ mph
Answer:
41 mph ...............
Find the perimeter of this semi-circle with diameter,
d
= 32cm.
Give your answer as an expression in terms of
π
.
Answer:
let the
radius = diameter/2= 32/2= 16cm
now
perimeter of semi circle = 1/2×22/7×r
= 1/2×22/7×16
= 25.14cm
hence perimeter of semi circle is 25 .14cm
Which linear equation is modeled by the graph?
A)-2x-3y=15
B)2x-3y=-15
C)2x+3y=-15
D)2x-3y=15
The answer is option A. If you observe the graph carefully...you can observe that the slope is positive and the y-intercept is -5. But it doesn't match with any in the option. That means you have to simplify every equation. For that move the X values to the right hand side then move the coefficient of y to the right hand side...that should give you the solution. This will take time and one shouldn't spend time in mcq. To save your time....just play around with signs. You can get the solution directly. we can observe that the slope is positive and if we move the positive X values then we will be getting negative slope...which ain't meeting the condition....thus we have to move the negative X to the right hand side to have positive slope...thus option a is correct.
If the value of 3/4 divided by x Is the whole number which number is the value of x?
A whole number is a number that has no fractional representation.
Let's test all the options for the value of x.
When dividing a fraction by another fraction, the divisor will be in its reciprocal form.
1. 3/4 × 2/3
= 6/12 = 1/2
1/2 isn't a whole number.
2. 3/4 × 2/1
= 6/4 = 3/2
3/2 isn't a whole number.
3. 3/4 × 6/1
= 18/4 = 9/2
9/2 isn't a whole number.
4. 3/4 × 8/1
= 24/4 = 6
6 is a whole number.
Hence the answer is 1/8.
Hope it helps. :)
Estimate.
15 = 2.57 ~
Answer:...............................
Answer:
5.83
Step-by-step explanation:
WILL GIVE BRAINLIEST PLS HELP ME, A rectangle has the dimensions 2.9 x 2.3. If I want a rectangle that has the area
9 times the size of the original rectangle, what will be my new dimensions?
New dimensions:
the largest metric prefix that is ordinarily used is tera, while the smallest prefix is pico. How much larger is a teramtere
Answer:
A terameter is 10²⁴ times larger than a picometer.
Step-by-step explanation:
Here is the complete question:
The largest metric prefix that is ordinarily used is tera, while the smallest prefix is pico. how much larger is a terameter than a picometer.
Step-by-step explanation:
1 tera = 10¹² and
1 pico = 10⁻¹²
To determine how much larger a terameter is than a picometer, we will divide the value of 1 terameter by the value of 1 picometer.
1 terameter = 10¹² meters and
1 picometer = 10⁻¹² meters
1 terameter / 1 picometer = 10¹² / 10⁻¹²
= 10¹²⁻⁽⁻¹²⁾
= 10¹²⁺¹²
= 10²⁴
Hence, a terameter is 10²⁴ times larger than a picometer.
On a horizontal number line, -6 is located to the
left
of -4. So, -6 is
than -4.
Answer:
less than -4
Step-by-step explanation:
Please Help me Asap i really need you help
I will give brainliest
Answer:
A. 32
Step-by-step explanation:
measure the 32 line then put the measurement on to of the 32 line the same way
hope this helps and feel free to give brainiest
Answer:
its a 32 trust
Step-by-step explanation:
please help me please please
Answer:
y=-1/2x-4
Step-by-step explanation:
divide other side by 2
y=-1/2x-8/2
y=-1/2x-4 this is slope-intercept form which is y=mx+b
The range of f(x) = [xl is y 2 0. If a < 0 for g(x) = a[x], what is the range of function g?
A ysa
B. y < 0
C. y20
D. ys 0
Answer:5
Step-by-step explanation:
The range of the function g(x) = a[x], where a < 0, is y ≤ 0.
What is the greatest integer function?The function f(x) = [x], where [x] represents the greatest integer less than or equal to x, has a range of y ≤ 0. This means that the output of the function f(x) can be any number less than or equal to zero, including negative integers, zero, and non-negative fractions.
Consider the function g(x) = a[x], where a is a negative constant. When we multiply the input x by a the output of the function is also multiplied by a. Since a is negative, the sign of the output is flipped. Moreover, the output is an integer, as [x] is an integer for all x.
Here, the range of the function g(x) = a[x] is y ≤ 0.
This means that the output of the function g(x) can be any negative integer, zero, or any non-positive fraction, as these are the numbers that are less than or equal to zero.
Thus, the range of the function g(x) = a[x], where a < 0, is y ≤ 0.
To learn more about the greatest integer function here:
https://brainly.com/question/12597124
#SPJ7
Bob opened a savings account with $115. He now saves$35 a month(x). Write an equation representing how much money (y) Bob has in his savings account.
Answer:
y=115+35x
Step-by-step explanation:
Which of the following geometric objects has a
measurable length?
Answer:
A. Line segment
Step-by-step explanation:
A line segment is measurable because it goes from point A to point B. So thus, answer A is correct.
Hope this helps!!
Write the value of f(-3).
f(x) = -x2 + 3x - 11
Answer:
The exact value is -3f
Step-by-step explanation:
Write an equation of a sphere with center ( 0 , 8 , 0 ) (0,8,0) , and with the sphere tangent to the plane with equation x
Answer:
[tex]\mathbf{ x^2 + (y-8)^2 +(z)^2 = 32}[/tex]
Step-by-step explanation:
Given that:
The center of the sphere = (0,8,0)
[tex]The \ equation \ of \ the \ tangent \ plane \ is:[/tex]
= x - y = 0
x = y
However, the radius of the sphere is equal to the perpendicular distance of the plane from the center.
As such, the radius [tex]r = \Big | \dfrac{ax_1 +by_1+cz_1}{\sqrt{a^2 + b^2 +c^2}} \Big |[/tex]
[tex]r = \Big | \dfrac{1*0 +(-1)*8+0*0}{\sqrt{1^2 + (-1)^2 +0^2}} \Big |[/tex]
[tex]r = \Big | \dfrac{-8}{\sqrt{2}} \Big |[/tex]
[tex]r = \dfrac{8}{\sqrt{2}}[/tex]
[tex]r = \dfrac{4 \times 2}{\sqrt{2}}[/tex]
[tex]r = 4\sqrt{2}[/tex] units
Thus, the equation of the sphere [tex]r^2 = (x -x_1)^2 +(y-y_1)^2 +(z -z_1)^2[/tex]
[tex]\mathbf{\implies x^2 + (y-8)^2 +(z)^2 = 32}[/tex]
What is 20 increased by 50%
Answer:
30.00
Step-by-step explanation:
20 Increased By 50% Is 30.00
Answer:
30
Step-by-step explanation:
20 divided by 2 = 10 + 20 = 30
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Biologist tagged 700 rabbits in Bryer Lake National Park. At a later date, they found 6 tagged rabbits in a sample of 1800. Estimate
the total number of rabbits in Bryer Lake National Park.
Answer:
210000 rabbitsStep-by-step explanation:
Ratio of tagged to non-tagged is:
6 : 1800 = 1 : 300This is 300 non-tagged per 1 tagged
Since there are 700 tagged rabbits, the estimated number is:
700*300 = 210000