Answer:
0.6826
Step-by-step explanation:
The high temperatures for days in January are Normally distributed with a mean of 38 degrees Fahrenheit and a standard deviation of 5 degrees . How many days in January will have temperatures between 33 degrees Fahrenheit and 43 degrees Fahrenheit ? Round your answer to two decimal places.
Solution:
The z score is a score used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean,s=raw\ score \ and\ \sigma=standard\ deviation\\\\Given\ that\ \mu=38^oF,\sigma=5^oF\\\\For\ x=33^oF\\\\z=\frac{x-\mu}{\sigma}=\frac{33-38}{5}= -1\\\\For\ x=43^oF\\\\z=\frac{x-\mu}{\sigma}=\frac{43-38}{5}= 1\\\\[/tex]
From the normal distribution table, P(33 < x < 43) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826
what is 9 x 34 and explain
Answer:
306. If you multiply 30 and 9 you will get 270, and if you add 4 * 9, which is 36, you will get 306.
Step-by-step explanation:
I hope that helped you out! :)
The Multiplication of 7 and 2 results to 14.
What is Multiplication?
The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
We have to multiply 9 x 34.
So, we can split the number 34 as (30 + 4) then
First, 9 x 30 = 270
and, 9 x 4 = 36
Now, add the values
9 x 34
= 270 + 36
= 306
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Connor drove 340 miles on 8 gallons of gas. How many miles did his car travel per gallon of gas?
Answer: He drove 42 miles per gallon and remainder 4.
Step-by-step explanation:
What is the value of the element at h32 ? H=⎡⎣⎢615−152923−4752⎤⎦⎥ 23 9 2 75
Answer:
I just got this right...hopefully this helps :)
Step-by-step explanation:
What is equivalent to 7/8 and don't write 14/16
7/8 is equivalent to 56/64
1. A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight
in water and ate half its weight in food. Which equation can be used to find t, the
combined weight of the water and the food, In ounces, that the hummingbird had on this
day?
O
t - W + 8
2
O
t-w + 8 +
NI
O
t =8w+
2
w
t2w+
8
CLEAR ALL
Answer:
t = 8w + w/2
Step-by-step explanation:
Given that :
Weight of bird = w
Amount of water consumed = 8*w = 8w
Amount of food ate = 0.5*w = 1/2w
Hence, the combined weight of water and food (t) consumed by the humming bird :
t = amount of water consumed + amount of food ate
t = 8w + w/2
What is 2x - 3 for x = 4.
Answer:
Step-by-step explanation:
2x - 3
2(4) - 3
8 - 3
5
Which lists ALL the factors of 100?
1, 2, 4, 25, 50, 100
1, 2, 4, 5, 6, 10, 25, 50, 100
1, 2, 4, 5, 10, 20, 25, 50, 100
1, 2, 5, 10, 20, 50, 100
Answer:
the third one
List 3
Step-by-step explanation:
1*100=100
2*50=100
4*25=100
5*20=100
10*10=100
HELP PLEASE!
I don’t understand polynomial expressions!
Answer:
A: 2x^3 + 3x - 5
Step-by-step explanation:
All of the others have fractions in places where they aren't allowed to.
Answer:
A: 2x^3 + 3x - 5
Step-by-step explanation:
4. Is the point on the line, yes or no, show all work for full marks.
a) Line: y = 5x -8
Point (1,-3)
b) Line: y = -3x+1
(T2 each)
Point(-2,-7)
someone help!!!
Answer:
a) yes
The point ( 1,-3) lie on the given line y = 5x-8
b) No
The point ( -2,-7) does not lie on the given line y = -3 x +1
Step-by-step explanation:
Step(i):-
a) Given line y = 5 x - 8 ...(i)
Point ( 1, -3 )
substitute ( 1,-3 ) in equation (i)
-3 = 5(1) - 8
-3 = 5 -8
-3 = -3
∴ The point ( 1,-3) lie on the given line y = 5x-8
b)
Given line y = -3 x +1 ...(i)
Point ( -2, -7 )
substitute (-2, -7 ) in equation (i)
-7 = -3(-2) +1
-7 ≠ 7
The point ( -2,-7) does not lie on the given line y = -3 x +1
3х - 7 = 41
x = -2 - 21
Answer:-20=41
Step-by-step explanation:
3(-2-21)-7=41
N is a multiple of 5
A = N + 1
B = N – 1
Prove, using algebra, that A2 – B2 is always a multiple of 20
Answer:
Proved
[tex]A^2 - B^2 = 20, 40,60,80...[/tex]
Step-by-step explanation:
Given
[tex]A = N + 1[/tex]
[tex]B = N - 1[/tex]
Required
Prove that [tex]A\² - B\²[/tex] is a multiple of 20
First, we need to evaluate [tex]A\² - B\²[/tex]
Start by applying difference of two squares
[tex]A\² - B\² = (A + B)(A - B)[/tex]
Substitute values for A and B
[tex]A\² - B\²= (N + 1 + N - 1)(N + 1 -(N-1))[/tex]
[tex]A\² - B\² = (N + 1 + N - 1)(N + 1 - N + 1)[/tex]
Collect Like Terms
[tex]A\² - B\² = (N + N+ 1 - 1)(N - N + 1+ 1)[/tex]
[tex]A\² - B\² = (2N)(2)[/tex]
[tex]A\² - B\² = 2N*2[/tex]
[tex]A\² - B\² = 4N[/tex]
Since, N is a multiple of 5, then the possible values of N are:
[tex]N = 5, 10, 15, 20...[/tex]
For each of these values, the possible values of [tex]A^2 - B^2[/tex] are
[tex]A^2 - B^2 = 4N: 4 * 5, 4*10,4*15,4*20...[/tex]
[tex]A^2 - B^2 = 20, 40,60,80...[/tex]
The above shows that [tex]A^2 - B^2[/tex] is a multiple of 20
steps on how to simplify the following:
32/(-4)*3-(-1)
Are the two triangles congruent
Answer:
the answer is B
Step-by-step explanation:
different sides are marked
Answer:
c.
Step-by-step explanation:
even though that the 2 cides are not congruent to each other, it must be asking for the perimeter of the triangle. we don't know if it is congruent because we do not know the length of the last side.
Can anyone help me with this thank you :))
Answer:17
Step-by-step explanation:
5w + 2
5(3) + 2
15 + 2
17
Helpppppp pleaseeeee
What is the slope-intercept form of the equation of a line with a slope of 2 and a y-intercept of -7?
Answer:
y=2x-7
Step-by-step explanation:
slope-intercept form y=mx+b
m= slope
b- y-intercept
#1 Factors Which of these numbers is a factor of 49? a. 9 b. 7 C. 6 d. 5
Answer = b. 7
THANK YOU FOR LISTENING TO MY TED TALK
Evaluate: (4x¹⁴)(8x¹¹) *
Answer:
32x^25
Step-by-step explanation:
4x^14*8x^11
3. (7.4D) If the original quantity is 20 and the new
quantity is 25, what is the percent change
Answer:
25% increase
Step-by-step explanation:
[tex]\frac{(v_{2}- v_{1}) }{|v_{1}| }x100[/tex]
[tex]\frac{25-20}{|20|}x100[/tex]
=[tex]\frac{5}{20}x100[/tex]
=0.25×100
=25% change
=25% increase
Helpppppp meeee please and thank you
Answer:
-1/3
Step-by-step explanation:
What is the slope of the line?
Hey there!
the slope of the line is [tex]3[/tex]
Slope is [tex]\frac{rise}{run}[/tex], meaning that the slope is [tex]\frac{3}{1}[/tex] or [tex]3[/tex]
Hope it helps and have a great day!
A phone company offers two monthly plans. Plan A costs $14 plus an additional $0.15 for each minute of calls. Plan B costs $25 plus an additional $0.13 for each minute of calls.
A certain statistic will be used as an unbiased estimator of a parameter. Let R represent the sampling distribution of the estimator for samples of size 35, and let S represent the sampling distribution of the estimator for samples of size 15. Which of the following must be true about R and S?
a. The expected values of R and S will be equal, and the variability of R will be less than the variability of S.
b. The expected values of R and S will be equal, and the variability of R will be equal to the variability of S.
c. The expected values of R and S will be equal, and the variability of R will be greater than the variability of S.
d. The expected value of R will be greater than the expected value of S, and the variability of R will be greater than the variability of S.
e. The expected value of R will be greater than the expected value of S, and the variability of R will be less than the variability of S.
Answer:
c. The expected values of R and S will be equal, and the variability of R will be greater than the variability of S.
Step-by-step explanation:
This is Central Limit Theorem concept in which independent variables are added and form a normal distribution. The random sample of n sample size is selected which calculates normally distributed mean and variance. The expected value of samples distributor will be higher than the sample distribution.
Using the Central Limit Theorem, it is found that the correct option is:
a. The expected values of R and S will be equal, and the variability of R will be less than the variability of S.Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation, measuring variability, of [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. Hence, a higher sample size leads to less variability.In this problem:
The samples are taken from the same population, hence they have the same expected value.Due to the higher sample size, R has less variability.Hence, option A is correct.To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/25581475
5. 40% of Sam's collection of 64 cars is new. How many cars are new?
Known:
Unknown:
Equation:
6. 90 out of 20 students liked pizza. What percent of students cid
not like pizza?
Known:
Unknown:
Equation:
Answer:
5. 40% of Sam's collection of 64 cars is new. How many cars are new?
Known: Number of cars.
Unknown: How many cars are new.
Equation: 64*0.4=x x=24.
6. 90 out of 20 students liked pizza. What percent of students did
not like pizza?
Known: number of students
Unknown: percent of students did not like pizza.
Equation: 90*20/20 = 90.
90>20 so 0% did not like pizza.
a triangle has two angles with measures of 40 degrees and 60 degrees. What is the measure of the third angle?
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees.
Let the third angle be x.
Add all the quantities and subtract the answer from 180.
So: 180= 40+60+x
180-100=x
80=x
standard form two thousand, fifty seven and eighteen hundredths
Answer:
2,057.18
Step-by-step explanation:
plz help me with this math problem
Answer:
[tex]a = 9in[/tex]
Step-by-step explanation:
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
[tex]a = \sqrt{ {10.6}^{2} - {5.6}^{2} } [/tex]
[tex]a = \sqrt{112.36 - 31.36} [/tex]
[tex]a = \sqrt{81} [/tex]
[tex]a = 9in[/tex]
Determine the measure of ∠Q, rounded to the nearest tenth of a degree.
Question 9 options:
A)
22.8°
B)
73.5°
C)
36.1°
D)
66.0°
In the given triangle the measure of ∠Q is (B) 73.5°.
What is a triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.So, let's use the Sine rule in the calculation as follows:
q/sin q = r/sin r15/sin q = 12/sin 50.1 (Cross multiply)12 × sin q = 15 × sin 50.1 (divide both sides by 12)sin q = 15 sin 50.1/12q = sin⁻¹(15 sin 50.1/12) ≈ 73.5° (Rounded off)Therefore, in the given triangle the measure of ∠Q is (B) 73.5°.
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Jack buys a pool with 400 gallons, and it take 8 hours to fill. How many gallons were poured per hour?
Answer:
50 gallons
Step-by-step explanation:
400/8 = 50
Answer:
50 gallons were poured per hour
Step-by-step explanation:
hope this helps
Solve for q. q/18=5 q=
Answer:
q =90
Step-by-step explanation:
q/18=5
Multiply each side by 18
q/18 * 18=5* 18
q =90
Answer:
q = 90
Step-by-step explanation:
Multiply each side by 18:
q = 90
