Answer:
Yes, all equilateral triangles are acute.
Step-by-step explanation:
yea
hope this helps :)))
A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed are supposed to contain 300m. In fact, the contents vary according to a Normal Distribution with mean of 298 mL and a standard deviation of 3 mL. (a) What is the probability that an individual bottle contains less than 295 mL? Show your work. (b) What is the probability that the mean contents of six randomly chosen bottles is less than 295 mL? Show your work.
Answer:
0.15866 ; 0.0071627
Step-by-step explanation:
Given that:
Mean (m) = 298
Standard deviation (s) = 3
A.) P(x < 295)
Using the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (295 - 298) / 3 = - 1
p(Z < - 1) = 0.15866 ( Z probability calculator)
B.)
Z = (x - m) / s /sqrt(n)
Z = (295 - 298) / 3/sqrt(6) = −2.449489
p(Z < - 2.449) = 0.0071627 ( Z probability calculator)
Given values are:
Mean,
m = 298Standard deviation,
s = 3(a)
P(x < 295)
The standardized score will be:
→ [tex]Z = \frac{(x-m)}{s}[/tex]
By substituting the values, we get
[tex]= \frac{(295-298)}{3}[/tex]
[tex]= \frac{-3}{3}[/tex]
[tex]= -1[/tex]
Now,
By using the Z probability calculator, we get
→ [tex]p(Z< -1) = 0.15866[/tex]
(b)
The standardized score will be:
→ [tex]Z = \frac{x-m}{\frac{s}{\sqrt{n} } }[/tex]
By putting the values,
[tex]= \frac{295-298}{\frac{3}{\sqrt{6} } }[/tex]
[tex]= -2.449489[/tex]
Now,
→ [tex]p(Z < -2.449)= 0.007163[/tex]
Thus the responses above are correct.
Learn more about probability here:
https://brainly.com/question/20369155
At a bus station, buses depart at a rate of 4 every 10 minutes. At this rate, how many buses would depart in 1 hour?
Answer:
24 buses.
Step-by-step explanation:
10 minutes equals 4 buses.
There is a total of 60 minutes, so 60 ÷ 10 = 6.
Then 4 × 6 = 24 buses.
Simplify each expression.
4 x 10
Answer:
1 x 40
Step-by-step explanation:
PLEASE HELP!!!
The ratios 12:24, 15:30, and 18:36 form a pattern of equivalent ratios in the multiplication table below.
A multiplication table.
Which method can find other equivalent ratios for this pattern?
Multiply 3 and 6 by the same factor, and write the products as a ratio.
Multiply 2 and 8 by the same factor, and write the products as a ratio.
Multiply 4 and 6 by the same factor, and write the products as a ratio.
Multiply 1 and 8 by the same factor, and write the products as a ratio.
Answer:
A
Step-by-step explanation:
Trust me on this.
Can I have brainlest, also I hope you do well!
Answer:
Multiply 3 and 6 by the same factor, and write the products as a ratio.
Step-by-step explanation:
because i have dun it
Determine which of the lines, if any, are parallel or perpendicular. Explain.
Line A: 4x-3y=2
Line B: y=4/3x+2
Line C: 4y+3x=4
Work out m and c for the line:2y−4x=2
Step-by-step explanation:
General equation : y = mx + c
2y - 4x = 2
2y = 4x + 2
y = 2x + 1
Therefore m = 2 and c = 1.
A square has a side length of 2.3cm if the square is dilated by a scale factor of 3 what is the length of the new side
Answer:
[tex]New\ Side = 6.9cm[/tex]
Step-by-step explanation:
Given
[tex]Length = 2.3cm[/tex]
[tex]Scale\ Factor = 3[/tex]
Required
Determine the length of the new side
This is calculated as follows:
[tex]New\ Side = Length * Scale\ Factor[/tex]
Substitute values for Length and Scale Factor
[tex]New\ Side = 2.3cm * 3[/tex]
[tex]New\ Side = 6.9cm[/tex]
Hence, the length of the new side is 6.9cm
The number of goals scored by a soccer team varies directly as the number of shots on goal. If the lakeside bears scored 4 goals after 48 shots on goal, how many more shots on goal should the team game to score 3 more goals
Answer:4x
Step-by-step explanation:
Which transformations will change Figure A into Figure B?
rotate 180° about the origin, dilate by a scale
factor of
rotate 180° about the origin, dilate bya scale
factor of
A
reflect over the line y = , dilate bya scale
factor of
reflect over the line y = T, dilate by a scale
factor of
Answer:
the second answer should be correct
Step-by-step explanation:
:)
Answer:
second option
Step-by-step explanation:
HELP ILL GIVE BRAINLIEST
Answer:
The bottom right table
Step-by-step explanation:
The product of 3x2 and 5x4 is equivalent to...
A. 15x6
B. 15x8
C. 8x6
D. 8x8
Answer:
3*2=6. 5*4=20 and 6*20=120
now,
15*8=120
so the correct ans is 15*8
Please help... the question is in the picture
Answer:
16
Step-by-step explanation:
Which graph shows a proportional relationship between x and y?
Answer:
i think your answer would number 1 or number 4
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
Pleaseee I need help
Answer:
(48-8xy)-(3xy-10)
Step-by-step explanation:
4(x - 6)= 24
show your work
Answer:
12
Step-by-step explanation:
4(x-6)=24
4x-24=24
+24 +24
4x=48
x=12
As an estimation we are told £3 is €4. Convert £54.20 to euros.
Answer:
$40 in euros!
Step-by-step explanation:
PLEAAseeeeeeeeeeeeeeeeeeeeeee
Answer:
[tex]1.25\cdot10^{5}[/tex] [tex]or[/tex] [tex]125000[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]1)[/tex] [tex]64\cdot10^{6}[/tex] = [tex]64000000[/tex]
[tex]2 )[/tex] [tex]32\cdot10^{6}[/tex] = [tex]32000000[/tex]
[tex]3)[/tex] [tex]16\cdot10^{6}[/tex] = [tex]16000000[/tex]
[tex]4)[/tex] [tex]8\cdot10^{6}[/tex] = [tex]8000000[/tex]
[tex]5)[/tex] [tex]4\cdot10^{6}[/tex] = [tex]4000000[/tex]
[tex]6)[/tex] [tex]2\cdot10^{6}[/tex] = [tex]2000000[/tex]
[tex]7)[/tex] [tex]1\cdot10^{6}[/tex] = [tex]1000000[/tex]
[tex]8)[/tex] [tex]5\cdot10^{5}[/tex] = [tex]500000[/tex]
[tex]9)[/tex] [tex]2.5\cdot10^{5}[/tex] = [tex]250000[/tex]
[tex]10)[/tex] [tex]1.25\cdot10^{5}[/tex] = [tex]125000[/tex]
[tex]--------------------------------------------[/tex]
The way I solved this question was by dividing each scientific form by two.
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Please help!! Question is in the picture
Answer: (5,8)
Step-by-step explanation:
So this is a matter of using a system of linear equations
To start if a total of 13 people got a ticket then we know that
x+y=13
x and y being explained in the problem
then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation
40x+20y=360
If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.
now we have
x+y=13
40x+20y=360
now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like
-40(x+y=13)
40x+20y=360
Distribute the -40 to each value
giving you
-40x-40y=-520
40x+20y=360
add these together from the top down
the x's cancel leaving
-20y=-160
then isolate the y value by dividing both sides by -20
-20y/-20=-160/-20
leaving you with your y point
y=8
This is how many childrens rickets were sold now we can plug into the first linear equation
x+8=13
now easy subtration to isolate the x point
x+8-8=13-8
x=5
Finally leaving you with point (5,8)
Write the slope-intercept form of the equation that is described below.
Through (-3, 3) and perpendicular to y = 1/3x + 5
What is the equation:
Answer:
3=-3*-3+b
3=9+b
-9 on both sides
-6=b
y=-3x-6
*-3 because the opposite of 1/3 is -3*
Of 800 people who visited the zoo on Monday 65 percent were children. How many visited the zoo on Monday?
Answer:
520 are kids and 280 are adults
Step-by-step explanation:
Answer:
[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]
if 800 people visit zoo
64% were children
so = 65/100 ×800
65×8=520
no of children =280
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
Mrs. Franklin's kitchen is shaped like a rectangle. She has a scale drawing of her kitchen with dimensions 7 inches and 5 inches.
The scale of the drawing is 1/2 inch = 1 foot.
What is the perimeter of Mrs. Franklin's actual kitchen?
Answer:
48 feet
Step-by-step explanation:
7 inches = 14 feet
There are 14 halves in 7 inches.
5 inches = 10 feet
There are 10 halves in 5 inches
14+14+10+10=48
The perimeter is 48 feet
How many grams of protein will 7 servings provide?
Answer:
What does the serving consist of?
Step-by-step explanation:
Answer:
it depends on what the servings are
Step-by-step explanation:
6 yd
8 yd
What is the length of the hypotenuse?
C =
yards
Answer:
The length of the hypotenuse is 10 yards.
Step-by-step explanation:
Given that this is a right triangle, you could apply the Pythagorean Theorem to it. Although I'm not exactly sure, given as there's no indication in your question.
The Pythagorean Theorem is a^2 + b^2 = c^2, for context.
So, 6^2 + 8^2 = ?^2.
6^2 = 36
8^2 = 64
64 + 36 = 100
However, 100 isn't the side length of c, it's c squared. To "unsquare" it, you need to find the square root of it.
In this case, the square root of 100 is 10.
6^2 + 8^2 = 10^2. Makes sense, right?
36 + 64 = 100
Hope this helps.
How much greater is 54 5/100 than 50 40/1000
Answer:
4 1/100
Step-by-step explanation:
Answer:
4 1/100
Step-by-step explanation:
covert to improper fraction then subtract
David and Gino each have coins with the same total value. David has a mixture of nickels and dimes, and he has 8 more nickels than he has dimes. Gino only has nickels, and he has 20 more nickels than David.
What is the value of David's coins?
A.
$1.45
B.
$1.90
C.
$0.55
D.
$1.50
Answer:
.A
Step-by-step explanation:
Use x as dimes add more 8 nickels then he add 20 nickels and then simply the nickels which is
Answer:
$1.45 = answer
If an arithmetic sequence
begins with a 6 and the constant term is 2, what would be the
fourth term of the sequence?
plsssss help
Answer:
a₄ = 12
Step-by-step explanation:
To obtain the terms in the sequence add 2 to the previous term, that is
a₂ = a₁ + 2 = 6 + 2 = 8
a₃ = a₂ + 2 = 8 + 2 = 10
a₄ = a₃ + 2 = 10 + 2 = 12
if a pet hamster is placed on a digital scale, the scale reads 1.5. What could be
the units?
Answer:
pounds?
Step-by-step explanation:
Answer:
ounces
Step-by-step explanation:
Hamsters are quite light, so it would make sense that the answer is in ounces
Use the figure below to determine what is RU
Answer:
20
Step-by-step explanation:
8x=6x+5 (subtract 6x from both sides)
2x =5 (divide by 2 both sides)
x=2.5
8x= 8*2.5 = 20 (substitute 2.5 for x)
or 6x+5 = 6(2.5)+5 = 20 (substitute 2.5 for x)
Which side lengths form a right triangle?
Answer:
abswer is b no
Step-by-step explanation:
hope it help
What is x?
Please give an explanation too.
First answer - Brainliest
20p
Answer:
x=136°
Step-by-step explanation:
x=136° ( as it's vertical angle to 136°)