There were 55 questions in the test.
Answer:
55
Step-by-step explanation:
What name is given to an angle that
measures 150°?
Answer:
Obtuse
Step-by-step explanation:
Since 150°>90°, it is an obtuse angle
The volumes of two bodies are measured to be
V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³. Calculate sum and difference in
volumes with error limits.
Answer:
Sum of volumes = (16.6 ± 0.03) cm³
Difference of volumes = (3.8 ± 0.03) cm³
Step-by-step explanation:
Solution
V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³.
∆V = ± (∆V₁ + ∆V₂)
= ± (0.02 + 0.01) cm³
= ± 0.03 cm³
V₁ + V₂ = (10.2 + 6.4) cm³ = 16.6 cm³ and
V₁ - V₂ = (10.2 - 6.4) cm³ = 3.8 cm³
Hence, sum of volumes = (16.6 ± 0.03) cm³
and difference of volumes = (3.8 ± 0.03) cm³
-TheUnknownScientist
Step-by-step explanation:
sum = (16.6 ± 0.03) cm³
difference = (3.8 ± 0.03) cm³
A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 10% of scores B: Scores below the top 10% and above the bottom 58% C: Scores below the top 42% and above the bottom 20% D: Scores below the top 80% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 67.3 and a standard deviation of 7.3. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Answer:
The numerical limits for a D grade are 58(lower limit) and 61(upper limit).
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Scores on the test are normally distributed with a mean of 67.3 and a standard deviation of 7.3.
This means that [tex]\mu = 67.3, \sigma = 7.3[/tex]
D: Scores below the top 80% and above the bottom 9%
This means that lower bound is the 9th percentile and the upper bound is the 100 - 80 = 20th percentile.
9th percentile:
This is X when Z has a pvalue of 0.09. So X when Z = -1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.34 = \frac{X - 67.3}{7.3}[/tex]
[tex]X - 67.3 = -1.34*7.3[/tex]
[tex]X = 57.52[/tex]
Rounding to the nearest whole number, 58.
20th percentile:
This is X when Z has a pvalue of 0.2. So X when Z = -0.84
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 67.3}{7.3}[/tex]
[tex]X - 67.3 = -0.84*7.3[/tex]
[tex]X = 61.17[/tex]
Rounding to the nearest whole number, 61.
The numerical limits for a D grade are 58(lower limit) and 61(upper limit).
What is the missing value in the table?
answer;
C.21 you have to subtract each number.
Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?
hi
price all taxes included is : 9.99 + 0.03*9.99 ≈ 10.29
So change is : 11 - 10.29 = 0.71
Answer:
acualy you would divide 9.99 by 3
A group of Americans participated in a study that involved taking their temperatures during exercise in extreme heat. The participants had a mean body temperature of 104^{\circ} \text{F}104 ∘ F104, degrees, start text, F, end text and a standard deviation of 2^{\circ} \text{F}2 ∘ F2, degrees, start text, F, end text. Doctors analyzing the results prefer to work in degrees Celsius, so they convert the data by applying the formula below to each data point: ^{\circ}\text{C}=\dfrac59(^{\circ}\text{F}-32) ∘ C= 9 5 ( ∘ F−32)degrees, start text, C, end text, equals, start fraction, 5, divided by, 9, end fraction, left parenthesis, degrees, start text, F, end text, minus, 32, right parenthesis If each temperature is converted to degrees Celsius, what will be the mean and standard deviation of the distribution of new temperatures?
Answer:
the mean is 40 degrees celcius
standar deviaton is 1.11 degrees Celsius
Step-by-step explanation
khan academy
The temperature values of the participants in celcius are :
Mean = 40°CStandard deviation = - 16.67°CInformation about body temperature :
Mean = 104°F
Standard deviation = 2°F
To convert to Celsius temperature :
°C = 5/9(°F - 32)
To temperature values in °C :
Mean temperature :
°C = 5/9(104 - 32)
°C = 40°C
Standard deviation of temperature :
°C = 5/9(2 - 32)
°C = - 16.67°C
Hence, the temperature values in Celcius are : 40°C and - 16.67°C
Learn more : https://brainly.com/question/18112348
what is BD?
please help i can’t fail another test
Answer:
C. 8
Step-by-step explanation:
BD is the altitude of the right triangle.
Apply the altitude theorem of a triangle to find BD. Based on the theorem, thus:
h = √(xy)
Where,
h = BD
x = 16
y = 4
Plug in the values
BD = √(16*4)
BD = √64
BD = 8
Kane's Furniture Store advertised a table at a 13% discount. The original selling price was $113, and the sale price was $100. Was the sale price consistent with the
ad? Explain
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. No, the sale price was higher than it should have been
(Round to the nearest cent) __
B. No, the sale price was 5 lower than it should have been
(Round to the nearest cent.)__
C. Yes, the sale price was consistent with the ad, because it represents a 13% discount.
Answer:
A
Step-by-step explanation:
100%=$113 what about 87( 100-13)(113×85)÷100ans is 98.31 which should be the sale price but the sale price is 100 it is $16.90 higherPLEASE HELP AGAIN. IM TIMES
Answer:
u didnt put any questions
Step-by-step explanation:
Is the relation shown in the table a function?
Yes
No
Answer:
Yes
Hehe......
Answer: Yes
Step-by-step explanation:
Given points B (-9,5), L (5, 13), U (8,-4), and E(-1,-6).
A) Find the component form of vector BE.
B) Find the component form of vector UL.
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Holly has4/6quart of potato salad. She gives2/6
quart to a friend,
How much potato salad does she have left?
Answer:
Hi! The answer to your question is [tex]1/3[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Stay Safe!!!
Hope this helps!!
- Brooklynn Deka
A student paid 256.37 in school fees how much has he paid to the nearest hundred
Answer:
300
Step-by-step explanation:
256.37 5 and 6 is high enoughh to boost that 2 up to a 3
Answer:
uhhh 256.37 is rounded to the nearest hundreth
Unless you mean hundred thwn it would be 300
Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.
f(x) = -2x2 + 32x - 126
Answer:
MAX: (8, 2)
too lazy to write out the solution, sorry.
Answer:
this is what i got -2(x-9)(-7) hope it helps
Step-by-step explanation:
An expression is shown.
14a + 7 + 5b + 2a + 10b
What are the coefficient(s) of the expression?
Group of answer choices
14, 7, 5, 2, 10
14a, 5b, 2a, 10b
14, 5, 2, 10
a, b
7
Answer:
C
Step-by-step explanation:
:)
The table shows the results of a class survey about pets. Suppose 53 students were surveyed. About how many students have one pet? Justify your answer. (I really need an answer now! Please answer as soon as you can )
Help PleSssssssssssssssssssssssssssssssszsss
Answer:
I think the answer is 5 because on the top it says 5 miles is about 8km but I'm not positive
32 / (-4) . 3 - (-1)
Answer:
-32
Explanation:
32/ -4 = -8
3 - -1 = 3+1 = 4
-8x4 = -32
John shared 3 cookies with 4 friends. What fraction of a cookie did each friend receive?
Answer:
3/4 of a cookie
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle with a semicircle removed
from it. Round to the nearest tenths place.
Answer:
69.9 sq units
Step-by-step explanation:
find area of entire rectangle then subtract out area of semi-circle
(14 x 6) - (3²π ÷ 2)
84 - 14.1 = 69.9
69.9
Step-by-step explanation:
Find the volume and show work.
Help Pls
Its a math question, see attachments
Answer:
1) A) 25%
2) B) 16%
3) A) 93%
Step-by-step explanation:
1)
0.25 = 25%
2)
More than 3 means, 4 and 5
0.12 + 0.04 = 0.16 = 16%
3)
x ≥ 1
So that means 1+ days (everything except 0)
0.25 + 0.18 + 0.34 + 0.12 + 0.04
0.93 = 93%
33 Triangle RST is similar to triangle RWW.
10 mm
d mm
5 mm
18 mm
What is the value of din millimeters?
A 27 mm
В
12 mm
C 9 mm
D
13 mm
Answer:
27
Step-by-step explanation:
Answer:
what the other fella put 27
Step-by-step explanation:
X
Help me please, find the length of x and y from 34. It is a 45 45 90 triangle.
Answer: X and y are about 24.04
Step-by-step explanation:
for a 45 45 90 triangle [tex]C=a\sqrt{2}[/tex]
[tex]34=a\sqrt{2}[/tex]
[tex]34^{2} =2a^{2}[/tex]
[tex]1156=2a^{2} \\578=a^{2} \\24.04=a[/tex]
HELP ME PLEASE ASAP
Answer:
33
Step-by-step explanation:
angles on a straight line sum up to 180°
104+x+x+10=180
114+2x=180
2x=180-114
2x=66
x=33
Answer:
C. 33
Step-by-step explanation:
So we have 180 degree line here, so lets take 104 and add the 10 from the expression inside the parenthesis on the other angle. We add 43 to 114 and get 147. We can then add 147+33 and get 180 which is equivalent to the angle.
The length and width of a rectangle are 19.2 cm and 12.4cm respectively. Find the angle between a diagonal and the shorter side of the rectangle.
9514 1404 393
Answer:
57.1°
Step-by-step explanation:
The sides of the rectangle are adjacent and opposite the angle, so the measure is ...
α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°
The angle between the diagonal and the short side is about 57.1°.
g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent. What is the probability that at least one of the births results in a defect
Answer:
0.1426 = 14.26% probability that at least one of the births results in a defect.
Step-by-step explanation:
For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).
This means that [tex]p = \frac{1}{33}[/tex]
A local hospital randomly selects five births.
This means that [tex]n = 5[/tex]
What is the probability that at least one of the births results in a defect?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426[/tex]
0.1426 = 14.26% probability that at least one of the births results in a defect.
Is 7/20 equal to 0.35
Answer:
yes it is
Step-by-step explanation:
pick the correct inequality
Answer:
d
Step-by-step explanation:
the answer is d because it's a closed circle
find the derivative of 1/x^4/3
Answer:
[tex]\displaystyle \frac{dy}{dx} = \frac{-4}{3x^5}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{\frac{1}{x^4}}{3}[/tex]
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx} \bigg[ \frac{1}{x^4} \bigg][/tex]Rewrite: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-4}][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{3}(-4x^{-5})[/tex]Simplify: [tex]\displaystyle y' = \frac{-4}{3x^5}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation