Solution :
It is given that the Precision Scientific Instrument company Manufactures thermometers that provide readings at 0 degree Celsius for the freezing point of water.
A quality control analyst examines the thermometers which provide readings in the bottom of 4%.
Using the standard normal table, we get
P(z < z) = 4%
P(z < z) = 0.04
See the probability of 0.04 in the standard normal corresponding to the z-value is = -1.75
Therefore,
P(z < -1.75) = 0.04
z = -1.75
So the temperature reading that separates the bottom of 4% from the other thermometers is - 1.75°C
Therefore correct option is (D). -1.75
I WILL MARK BRAINLIEST! A parabola opening up or down has vertex (0,3) and passes through (4,7). Write its equation in vertex form.
Ok...so we have this........
y = ax2 + 4 ....... and we need to find "a"
So we have
-1 = a(-10)2 + 4
-5 = a (100)
(-1/20) = a ....... So we have ..........
y = (-1/20)(x- 0)2 + 4 or just (-1/20)x2 + 4
Note that this parabola opens downward...That makes sense since the vertex is above the x axis and the parabola passes through a point below the x axis.
Hope This Helped!
I couldn't copy paste the equation on here, so i attached it in pictures.
20% of ______ is 120
Answer:600
Step-by-step explanation:
Answer:
20
___ x X = 120
100
x100 x 100
20x = 120
divide by 20 on both sides.
x = 6
Someone help and plz make sure it’s right will mark brainiest if it is :)
Answer:
45°
Step-by-step explanation:
sinθ = 24/34
take the inverse sine of 24/34:
[tex]sin^{-1}(24/34)[/tex] = 44.9° ≈ 45°
please help with this question?!
Answer:
120 yd²
Step-by-step explanation:
The solid has 5 faces.
Bottom: rectangle 6 yd by 3 yd
Left: rectangle 8 yd by 3 yd
Right: rectangle 10 yd by 3 yd
Front & Back: 2 triangles 6 yd base and 8 yd height
area = 6 * 3 + 8 * 3 + 10 * 3 + 6 * 8
area = 72 + 48
area = 120
Answer: 120 yd²
The Slow Ball Challenge: There will be 9 pitches, each at 60 mph. Diego estimates that he will hit each individual pitch 95% of the time. If Diego can hit all 9 pitches, he will win a total of $45; otherwise he will lose $10. The Fast Ball Challenge: There will be 4 pitches, each at 90 mph. Diego estimates that he will hit each individual pitch 60% of the time. If Diego can hit all 4 pitches, he will win a total of $80; otherwise he will lose $20. Show Proof of which challenge he should play and why?
Answer:
He should play the Slow Ball Challenge
Step-by-step explanation:
The number of pitches = 9 pitches
The speed of the 9 pitches = 60 mph
The percentage of the time Diego estimates he can each pitch = 95%
P = 0.95
The amount Diego will win if he can hit all 9 pitches = $45
The amount he will loose = $10
The Fast Ball challenge
The number of pitches = 4 pitches
The speed of the 4 pitches = 90 mph
The percentage of the time Diego estimates he can each pitch = 60%
The amount Diego will win if he can hit all 4 pitches = 60 %
The amount he will loose = $20
For the Slow Ball challenge, we have;
The probability that he hits all 9 pitches and wins the $45, is given by the binomial probability distribution as follows;
P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ
Therefore, we get;
P(X) = ₉C₉ · P⁹ ·(1 - P)⁹⁻⁹ = 1 × 0.95⁹ ≈ 0.63025
The probability that he losses the $45 = 1 - P(X) ≈ 1 - 0.63 = 0.36975
The expected value = 0.63025 × 45 - 0.36975 × 10 ≈ 24.66375
The expected value ≈ 24.66375
For the Fast Ball challenge, we have;
The probability that he hits all 4 pitches and wins the $80, is given by the binomial probability distribution as follows;
P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ
Therefore, we get;
P(X) = ₄C₄ · P⁴ ·(1 - P)⁴⁻⁴ = 1 × 0.6⁴ ≈ 0.1296
The probability that he losses the $80 stake = 1 - P(X) ≈ 1 - 0.1296 = 0.8704
The expected value = 0.1296 × 80 - 0.8704 × 20 ≈ -7.04
The expected value ≈ -7.04.
Given that the expected value for the Fast Ball Challenge is lesser than the expected value for the Slow Ball Challenge, Diego should play the Slow Ball Challenge.
Find m
160
260
50
80
In the diagram below, BC = QR = x, AC = PR = y, and triangle PQR is a right
triangle. Use the drop-down menus to complete the proof that if the equation
22 + y2 = z2 is true of the side lengths in triangle ABC, then triangle ABC must be a right
triangle.
P
y у
y
B
R
х
Q
x2 + y2 = 22
Triangle PQR is a right triangle
Click the arrows to cho
from each menu.
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to
Applying the Pythagorean theorem, we have ΔPQR ≅ ΔABC. then we would have: ∠ACB = ∠PRQ = 90°
What is the Pythagroean Theorem?The pythagorean theorem states that the square of the longest side (hypotenuse) of a right triangle is always equal to the sum of the squares of the other two sides (legs) of the right triangle.
Since we know that ΔPQR is a right triangle, then:
x² + y² = PQ²
We are also given that x² + y² = z², so by substitution, we have:
z² = PQ², which makes both triangles have corresponding congruent sides. Therefore, ΔPQR ≅ ΔABC.
Using the corresponding parts of the congruent triangles, we can conclude that: ∠ACB = ∠PRQ = 90°.
Learn more about the Pythagorean theorem on:
https://brainly.com/question/343682
#SPJ2
Find m<1, m<2, and m<3
Answer:
<1 = 113
<2 = 67
<3 = 113
Step-by-step explanation:
m<2 = 67 (because of vertical angles)
<1 + 67 = 180
<1 = 113
<1 = <3 because of vertical angles
Please help asap I need this
Answer:
y= x+4
y=–4–2x
Step-by-step explanation:
using the formula (x–x1)/(x1–x2)= (y–y1)/(y1–y2)
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
2,827.43
Step-by-step explanation:
Can you guys help me find the area of this shape. I've literally tried everything and got it wrong.
Answer:
110 square centimeters.
Step-by-step explanation:
The area for a trapezoid can be figured out with the equation (a + b)h/2.
(9 * 5) + (9 + 4)10/2 {Work inside the parentheses first.}
45 + (13)10/2 {Divide 10 by 2 to get 5.}
45 + 13(5) {Multiply 13 by 5 to get 65.}
45 + 65 {Add 45 & 65 to get 110.}
110 square centimeters.
The area of the figure is 110 square centimeters.
What is the PE of an object that is 15kg that is 5.0 M above the ground?
Answer:
735 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 15 × 9.8 × 5
We have the final answer as
735 JHope this helps you
When rounding to the nearest hundred thousand, the weight of a blue whale was rounded to 500,000 pounds. What is the least the blue whale could actually weigh?
Answer:
450,000 pounds
Step-by-step explanation:
to round off to the nearest hundred thousand, look at thousand figure - If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
to be rounded off to 500,000, it means that the thousand figure has to be between 50,000 - 99,000
the least figure would thus be 450,000
from edgunuity please help asap! image attached above
When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms
Answer:
https://www.sketchywebsite.net/
Step-by-step explanation:
Helpppp asapppp I’ll give you a lot of points
Answer:
[tex]x = \frac{5a-2} {7+5a}\\[/tex]
Step-by-step explanation:
Given the expressions
[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]
Substitute 2 into 1
[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]
Given the figure below, find the values of x and z.
Answer:
x = 9
z = 71
Hope this helps!
In the year 1900, the total number of metric tons of copper purchased in the world was 495,000. Each year since 1990,
the total number of metric tons of copper production has increased on average by 3.25%. Which function models the
total number of metric tons produced, y, for x years since 1990?
А
c(2) = 495.000,20.9675
cc() = 495, 000(1.0325)*
B.
C(2) = 495,000...1.0325
D
c(2) = 495,000(0.9675)
Step-by-step explanation:
Here is the answer to your question.
surface area of a rectangular prism with length 11 meters, width 5 meters, and height 14 meters
Answer:
Step-by-step explanation:11
Identify the variable expression that is not a polynomial.
O A. 3 - 2
O B. 13
O C. y + 23
O D. x3
Answer:
the correct answer is d. x^3
hey HELP PLEASE BRAINLIEST
The orange highlighted answer is right bc in order to get the number of centimeters in a foot youd multiply the 2.54*12 and then multiply that by 2 to get number of centimeters in two feet
hope it helps :)
Can somebody help me??
Jerry has four jackets in his closet. Without looking, he reached into his closet, pulled out a jacket, and then put it back in the closet. What is the probability that Jerry will randomly select the same jacket a second time?
Answer:
1%
Step-by-step explanation:
.
What is tip would you give to your waiter if your bill was $56.50 and the tip is 20% of the bill
$11.30
Step-by-step explanation:
First, convert the 20% to an actual number that can be used in a calculation.
For percents, this is always done by simply dividing the percent (in this case 20%) by 100%.
So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.
Second, you need to find out what 20% of your $56.50 meal cost is. This is always done by multiplying 0.20 by $56.50, or
0.20 x $56.50 = $11.30
So, the amount of tip you are going to leave is $11.30.
This makes the total cost of your meal (to write on your charge slip or other payment)
$56.50 + $11.30 = $67.80.
9/2 - 23/9=? plss help
Answer:
35/ 18
(Decimal: 1.944444)
Step-by-step explanation:
Answer
Step-by-step explanation:35/18
Is a trapezoid always a square?
Answer:
No
Step-by-step explanation:
A trapezoid is never a square. A trapezoid only has one pair of parallel lines and a square has two.
60 children were asked to chose their favourite vegetable from 5 options. Work out the number of children who chose each vegetable .
Answer:
carrots and cauliflower: 6
peas: 12
cabbage, sweetcorn: 18
Step-by-step explanation:
10 percent is 1/10, which is 6/60. Multiplied by two it's 12/60. Multiplied by 3 is 18/60.
HELP ASAP
What is the 10th term in the geometric sequence below?
−4, 12, −36, 108, ...
a)-236196
b)-78732
c)236196
d) 78732
Answer:
78732
Step-by-step explanation:
Which event is unlikely, but not impossible?
A- Spinning a spinner split into 16 equal sections labeled 1-16 and landing on 3
B- Rolling a dice and landing on an odd number
C- Flipping a coin and landing on tails
D- Pulling a white marble out of a bag that contains 4 white marbles and 2 red marbles
Answer:
A.
Step-by-step explanation:
A triangle has two 12centimeter sides
. What are the possible lengths of third side?
Answer:
Step-by-step explanation:
if the two sides are 12, the third will have to be shorter so it could be:
( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 )
good luck!can you choose me brainliest? :D
