Answer:
the probability is 0.0202
Step-by-step explanation:
The computation is shown below:
Given that
The Average life span = 17 hours
Standard deviation = 0.8 hours
Sample = 30 batteries
Sample mean = 16.7 hours
Now based on the above information
The probability is
[tex]P (\bar x \leq 16.7) = P (\frac{\bar x - \mu}{(\frac{\sigma }{\sqrt{n} } )} \leq (\frac{16.7 - \mu}{(\frac{\sigma }{\sqrt{n} } )}\\\\= P(z\leq \frac{16.7-17}{\frac{0.8}{\sqrt{30} } } )\\\\= P(\leq -2.05)\\\\= 0.0202[/tex]
Hence, the probability is 0.0202
look at the figure. i’ll give you brainlest!!!
Answer:
u already got it cos x = 8f
Step-by-step explanation:
Find the volume of the following figures with the given dimension
Answer:
[tex]V=192\ in^3[/tex]
Step-by-step explanation:
Given that,
The area of base, A = 24 in²
The height of the pyramid, h = 8 in
We need to find the volume of the following figure.
The volume of pyramid is given by :
[tex]V=A\times h[/tex]
Substitute all the values,
[tex]V=24\times 8\\\\=192\ in^3[/tex]
So, the volume of the pyramid is equal to [tex]192\ in^3[/tex].
Write 9/5 as a decimal number.
Answer:
1.8
Step-by-step explanation:
you have to divide 9 from 5 to get 1.8
Answer:
Decimal 1.8
Percentage 180%
Step-by-step explanation:
GIVING EVERYTHING IF CORRECT. NO MORE LINKS.
I think the answer is C
Four groups of some amount equals 52 in a algebraic equation
Answer:
where's the full question
Step-by-step explanation:
Pls help me with this
A triangular prism is shown.
What is the surface area of the triangular
prism?
Answer:
Area= 840
Step-by-step explanation:
Area= (20x13)x2+(10x12x1/2)x2+10x20
=520+120+200
=840
Area=Two area of the triangle [13x20] + Two area of the rectangle + Under area (rectangle)- [10x20]Can someone please help me I will mark u brilliant
Answer:
The volume is : 63
Step-by-step explanation:
Volume = Length x width x height
The volume for this rectangular prism is : 8 x 2 1/4 x 3 1/2 which equals 63
Answer:
C, 63 cm cubed
Step-by-step explanation:
To the the volume of a rectangular prism you do this equation: l x w x h = v
fill in the measurements:
8 x 2.25 x 3.5 = 63
CAN SOMEONE LLEASE HELP ME IM SO LOST!!
Answer: 1324 in^2
Step-by-step explanation:
Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
German Test
Step-by-step explanation:
Find common denominator:
34/50=68/100
14/20=70/100
Therefore, Abeer did better on the German test as 14/20>34/50
Is the following number, rational, irrational, or nonreal?
Answer:
Rational
√36
=6
plz mark me as brainliest
Answer: Rational
Step-by-step explanation:
= /36
= 6
Can you give me a thank you?
01:09:23
What is the radius of this circle if the circumference is 18 cm?
0
3 cm
9 cm
18 cm
36 cm
Answer:
The formula for circumference of a circle is
2pi,R.
In which R= radius. Then we Insert 18 in for the circumstances.
so, 18=2πr
then solving for r
18=2
÷. ÷
2. 2
R = 9,,
Write the slope-intercept equation of this line.
when the answers are
A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3
Answer:
[tex]y=-\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Hi there!
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope
The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.
In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.
Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:
[tex]y=-\frac{1}{2} x+b[/tex]
2) Determine the y-intercept
In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:
[tex]y=-\frac{1}{2} x-3[/tex]
I hope this helps!
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
angle klj and angle poq :)
Step-by-step explanation:
A long history of testing water samples in a certain lake has shown that the level of a certain pollutant is approximately normally
distributed with standard deviation 4.5 mg/L. What is the minimum number of samples required to estimate today's level to within 0.4
mg/L with 95% confidence? (Don't forget to round Zc to two decimal places!)
Answer:
The minimum number of samples required is 487.
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].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
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.
Standard deviation 4.5 mg/L.
This means that [tex]\sigma = 4.5[/tex]
What is the minimum number of samples required to estimate today's level to within 0.4 mg/L with 95% confidence?
This is n for which M = 0.4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.4 = 1.96\frac{4.5}{\sqrt{n}}[/tex]
[tex]0.4\sqrt{n} = 1.96*4.5[/tex]
[tex]\sqrt{n} = \frac{1.96*4.5}{0.4}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*4.5}{0.4})^2[/tex]
[tex]n = 486.2[/tex]
Rounding up
The minimum number of samples required is 487.
how can i solve this problem if its congruent or not
9514 1404 393
Answer:
∆BCR ≅ ∆BAR
x = 6
Step-by-step explanation:
For congruence, define point R where the altitude line meets segment AC.
The diagram shows you AR ≅ RC. You know BR ≅ BR by the reflexive property, and you know that ∠BRC ≅ ∠BRA = 90°. You can therefore claim ...
∆BCR ≅ ∆BAR . . . . by the SAS congruence postulate
__
To solve for x, you don't need to show congruence of the right triangles. You only need to realize that the markings on segment AC show the left half is the same length (x) as the right half. The Pythagorean theorem is used to find x.
x² +8² = 10²
x² = 100 -64 = 36
x = √36 = 6
The length of x is 6 units.
_____
As you can see here, an altitude that is a median divides the isosceles triangle into two congruent right triangles. (That altitude also bisects angle B.)
You may recognize that the side ratios in the right triangle are 8:10 = 4:5. The missing side completes the Pythagorean triple 3:4:5, so is 2·3 = 6 = x.
Flight 101, headed straight north, climbed to 30,000 feet and started its cruising speed of 360 mph 10 miles south of the point directly above our location. Flight 222, headed straight west, already cruising at 30,000 feet at 300 mph, was 5 miles east of the point above us at that time. Clearly, the paths of the planes intersect directly above us. Do they collide? Parametrize the linear paths and give the times when they are at the intersection point. By how many seconds do they miss each other?
Answer:
The answer is "40 second".
Step-by-step explanation:
Flight 101 headed north straight, ascended to a speed of 30,000 feet, and began a 360 mph cruising speed 10 kilometers from the point above our place. Flight 222, heading right west, was at the same time five miles east of the above-used spot already at 30 000 feet at 300 mph.
[tex]flight\ 101: x=0;\\\\y-10 +360 t\\\\10=360 t\\\\t=\frac{1}{36} \ hrs\\\\flight\ 222: x=5-300t\\\\ y=0\\\\5=300 t\\\\t=\frac{1}{60} \ hr\\\\[/tex]
Their [tex]\frac{1}{36}-\frac{1}{60}=\frac{1}{90}\ hr=40[/tex]seconds are missing each other.
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
the correct answer is first graph because melting decreases by straight lines and goes down and the one you choose is not correct because you are not gonna have melting stops for a while (✿ ♡‿♡)
Jimmy pays 30% of his salary to tax before all other deductions. Jimmy fortnightly gross salary is 2,500. what is Jimmy's fortnightly net salary after tax?
Answer:
1750
Step-by-step explanation:
So first we have to find out how much tax he pays which is 30% of 2,500=750. now we know how much tax he pays, we can subtract it from his salary: 2500-750=1750
The new floor in the school cafeteria is
going to be constructed of square tiles that
are either gray or white and in the pattern
that appears below. What is the ratio of
Answer:
Step-by-step explanation:
18 tiles and 10 shaded in
Angie is creating a stained glass windowpane that will be 5 inches by 6 inches. To make the
rectangular windowpane, Angie fuses together two triangles of colored glass. What is the
perimeter of one triangle? If necessary, round to the nearest tenth.
inches
Answer:
The perimeter of a triangle is equal to 18.81 inches.
Step-by-step explanation:
Since Angie is creating a stained glass windowpane that will be 5 inches by 6 inches, and to make the rectangular windowpane, she fuses together two triangles of colored glass, to determine what is the perimeter of one triangle the following calculation must be performed, taking into account that the Pythagorean theorem must be applied:
5 ^ 2 + 6 ^ 2 = X ^ 2
25 + 36 = X ^ 2
√61 = X
7.81 = X
5 + 6 + 7.81 = X
11 + 7.81 = X
18.81 = X
Therefore, the perimeter of a triangle is equal to 18.81 inches.
Solve the inequality for w.
4+4ws-16
Simplify your answer as much as possible.
Answer:
The answer is 4ws - 12
Step-by-step explanation:
1) Collect like terms.
[tex]4ws + (4 - 16)[/tex]
2) Simplify.
[tex]4ws - 12[/tex]
therefor, the answer is 4ws - 12.
CAN YOU GUYS HELP ME FOR #10
Answer:
31
Step-by-step explanation:
Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym A and Gym B be the same for members?
4. Joe likes sports. He has 4 soccer medals, 1 tennis medal, 3 swimming medals and 5
football medals.
What is the ratio of Joe’s soccer medals to swimming medals?
A. 4 to 1
B. 1 to 3
C. 3 to 5
D. 4 to 3
E. 1 to 12
Answer:
4:3
Step-by-step explanation:
He has 4 Soccer Medals, 3 Swimming Medals
So it would be 4:3
can you guys help me pls
Answer
A
Step-by-step explanation:
So in the diagrams we see there is 2/3 shaded into a 12 cutted square. So we multiply 4x3 to get 12. So now we have to turn the 3 into 12.
so
[tex]\frac{2}3}[/tex] x[tex]\frac{4}{4}[/tex] =[tex]\frac{8}{12}[/tex]
Since we multiplied 4 on the bottom we have to multiply 4 on the top.
sorry im not good at explaining but if you need me to re explain ill work on it. :)
please help. im stuck on this one
Answer:
B
Step-by-step explanation:
Substitute the coordinates of the point into the left side of the equation and if the value obtained equals the right side then it is a solution.
A (- 4, 4 )
- 3(- 4) - 4 = 12 - 4 = 8 ≠ 6 ← not a solution
B (- 3, 3 )
- 3(- 3) - 3 = 9 - 3 = 6 ← this is a solution
The result is B
The length of one edge of a cube is 3 units. What is the volume of this cube in cubic units
Answer:
27 cubic units
Step-by-step explanation:
A cube has equal dimensions. So the volume is 3units × 3units × 3units or 27cubic units
Which statement can be used to find X
Answer:
it's letter D. cos 16⁰=²¹--x
can someone plz help no links plz