Answer:
68% of the population will have a height between 64 and 72 inches
Step-by-step explanation:
According to the Empirical Rule, 68% of the population will have a height within the range of 1 standard deviation of the mean. This means that the range of possible heights for 68% of the population is between 68-4(1)=64 inches and 68+4(1)=72 inches
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Answer:
for A plug in those numbers on the right and on the left start with 1 and move up(for example 1,2,3,4,5...)
For b the answer is 2.5x²−4.5x+1.
Step-by-step explanation:
What is the measure of angle of 1?
Answer:
m<1 = 118
Step-by-step explanation:
The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that
(28) + (90) = m<1
Remember, a box around an angle signifies that its measure is (90) degrees.
Solve this problem by performing the operation,
118 = m<1
What is the value of x?
Answer:
98 degrees
Step-by-step explanation:
first find angle G
53 + 45 + G = 180
subtract 45 and 53 from both sides
G = 82
angle g is supplementary (add up to 180) to x
x +82 = 180
subtract 82 from both sides
x = 98
Answer:
x = 98°
Step-by-step explanation:
There are 180° in a triangle, and 180° on a line.
180° - 53° - 45° = 82°
180° - 82° = 98°
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Answer:
507 cubic m
Step-by-step explanation:
V = l · w · h
V = 13 × 13 × 3
V = 507
In most residence, the largest bedroom is considered the Masters Bedroom. Which bedroom would be considered the Masters Bedroom based on area? * bed room 2 bedroom 1
Answer:
Bedroom 2 will be considered as the Master bedroom.
Step-by-step explanation:
Area of bedroom 1 = Area of room 1 - Area of the closet 1
Area of the room 1 = Length × Width
= (2.5 + 1.4) × (4.3+0.6)
= 3.9 × 4.9
= 19.11 m²
Area of closet 1 = 1.5 × 0.6
= 0.90 m²
Area of bedroom 1 = 19.11 - 0.90
= 18.21 m²
Area of bedroom 2 = Area of room 2 - (Area of bathroom + Area of Hall)
Area of room 2 = (3 + 3.1) × (2.5 + 2.4)
= 6.1 × 4.9
= 29.89 m²
Area of bathroom = 3 × 2.5
= 7.5 m²
Area of Hall = 1.2 × 2.4
= 2.88 m²
Area of bedroom 2 = 29.89 - (7.5 + 2.88)
= 29.89 - 10.38
= 19.51 m²
Since, area of bedroom 2 is greater than bedroom 1.
Therefore, Bedroom 2 will be considered as the Master bedroom.
a. Show the sampling distribution of p, the proportion of groceries thrown out by your sample respondents.b. What is the probability that your survey will provide a sample proportion within 6.03 of the population proportion
Answer:
The corresponding p - value will be is < 0.00001 which is less than 0.05
Step-by-step explanation:
Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014
For the probability that the survey will provide a sample proportion within 6.03 of the population proportion
we will find the z statistic
z= p^-p/√p(1-p)/n
But √p(1-p)/n= 0.014 and p^-p= 6.03
Putting the values
z= 6.03/0.014= 430.71
The corresponding p - value will be is < 0.00001 which is less than 0.05
Solve. *25 points*
1/2 divided by 2/3 =?
Answer:
The answer is 3/4
Step-by-step explanation:
When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.
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The data set gives heights, in inches, of a group of students.
71 60 72 70 60 63 64 68 59
Create a stem display for this data.
Answer:
5 | 9
6 | 0 0 3 4 8
7 | 0 1 2
Step-by-step explanation:
The stems (to the left of the vertical line) are the first digits of the data, the leaves (to the right of the line) are the second digits)
7 | 0 1 2 represents the data 70, 71, 72
9 - (4/9+1/3)
Write and solve a word problem for the expression
Answer:
9 pizzas total were bought for a party. Maya ate 1/3 of a pizza. John ate 4/9 of the same pizza. How much pizza is left?
Answer: 74/9 or 8.2
Step-by-step explanation:
first add 4/9 and 1/3 since it's in parenthesis
4/9+1/3
they need to have the same denominator, use the LCM (which is 9)
multiply 1/3 by 3 to achieve the LCM
4/9+3/9
add together numerators
7/9
subtract 7/9 from 9
9/1-7/9
get 9 to achieve the LCM (which is 9 again)
multiply 9/1 by 9
81/9 minus 7/9= 74/9
2) Zack ran 6 miles this weekend. How many feet did Zack run over the weekend?
Answer:
zach ran 31680 feet over the weekend.
Step-by-step explanation:
1 mile = 5280, so 6 x 5280 = 31680
Solve for n: 8n = 56
n=1/7
n = 7
n = 48
n = 64
n= 448
Answer:
The answer is number 7
Step-by-step explanation:
56÷8=7
n= 7
A custodian plans to repaint some classroom bookcases. She has 5 1/4 gallons of paint. All of the bookcases are the same size and each requires 3/4 gallons of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
Answer:
7 bookcases
Step-by-step explanation:
Find how many bookcases the custodian can repaint by dividing 5.25 by 0.75:
5.25/0.75
= 7
So, the custodian will be able to repaint 7 bookcases
7. If the total number of books checked out of the library at your high school is 14,400 and the student population
is about 2400. How many books on average does each student have?
Solve y=f(x) for x. Then find the input when the output is – 3.
f(x) = 1/2x-3
x=
The input is
when the output is -3.
Given:
[tex]y=f(x)[/tex]
[tex]f(x)=\dfrac{1}{2}x-3[/tex]
To find:
The input when the output is – 3.
Solution:
We have,
[tex]f(x)=\dfrac{1}{2}x-3[/tex]
Substituting [tex]f(x)=y[/tex], we get
[tex]y=\dfrac{1}{2}x-3[/tex] ...(i)
We need to find the input when the output is – 3. It means, we have to find the value of x when [tex]y=-3[/tex].
Putting [tex]y=-3[/tex] in (i), we get
[tex]-3=\dfrac{1}{2}x-3[/tex]
[tex]-3+3=\dfrac{1}{2}x[/tex]
[tex]0=\dfrac{1}{2}x[/tex]
Multiply both sides by 2.
[tex]0=x[/tex]
Therefore, the input is 0 when the output is -3.
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Answer:
are you realy a tutor?
Step-by-step explanation:
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Answer:
[tex]-\frac{\sqrt{21}}{2}[/tex]
Step-by-step explanation:
ASTC (I use a sentence to memorize: All Students Take Calculus):
Q1 - All functions are positive
Q2 - Sine is positive (Cosecant is positive as well) (all others negative)
Q3 - Tangent is positive (Cotangent is positive as well) (all others negative)
Q4 - Cosine is positive (Secant is positive as well) (all others negative)
Applying ASTC:
Secant is negative, so it can't be in quadrant 1, and quadrant 4.
Quadrant 2 - Sine and Quadrant 3 - Tangent are left.
Cosecant is positive so it can't be in quadrant 3.
Therefore, angle x is in Quadrant 2 or QII
Secant is hypotenuse / adjacent
5 = hypotenuse (hypotenuse is never a negative number)
-2 = adjacent
use pythagorean theorem to solve for opposite (bc tan = opp / adj)
[tex](-2)^2+o^2=5^2;4+o^2=25;o^2=21;o=\sqrt{21}[/tex]
tanx = [tex]\frac{\sqrt{21}}{-2}=-\frac{\sqrt{21}}{2}[/tex]
Four classmates collect data by conducting a poll. They ask students chosen at random how many states they have visited . Gabriel interviews 72 students. Morgan interviews 36 students. . Elle interviews 12 students. • Connor interviews 41 students, Whose results are probably the most trustworthy? O A. Morgan's B. Gabriel's C. Elle's D. Connor's
Answer:
B: Gabriel's
Step-by-step explanation:
what percent of the population has an IQ score between 115 and 130?
Answer:
68% of the individuals in the population have an IQ between 85 and 115. 95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.
Step-by-step explanation:
Write sin 53° in terms of cosine.
Answer:
cos(37°)
Step-by-step explanation:
sin(53°) = cos(90° - 53°)
sin(53°) = cos(37°)
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Answer:
57 i think
Step-by-step explanation:
The time it takes Jamal to make pancakes is based on
the number of pancakes he makes. The time in minutes
can be found using the function 3p + 15 where p
represents the number of pancakes he makes. If Jamal spent 141 minutes making pancakes this morning, then how many pancakes did he make?
determine the discount between the point(-4,2) and the line 4y=3×+6
Answer:
d = 14/5
Step-by-step explanation:
The point (-4,2) means that;
At x = -4, y = 2
Now general form of a linear equation is;
Ax + By + C = 0
We are given;
4y = 3x + 6
Rearranging to the form of a linear equation gives;
3x - 4y + 6 = 0
Thus, A = 3, B = -4 and C = 6
Thus, at point (-4,2), distance between them is;
d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)
d = -14/5
We will take the absolute value.
Thus; d = 14/5
At Jefferson Middle School,
3/5
of the students play a sport. Of those students,
1/3
play soccer. What equation can be used to find what fraction of the students play soccer?
1
3
+
3
5
1
3
÷
3
5
1
3
×
3
5
Answer:
[tex]\frac{1}{3}[/tex] times [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Please help asap i give you all my points!
Answer:
it dropped 9% from last year
Question 11
A card game is being played and the 5 of spades and 10 of clubs are drawn. In order to win the
hand, the next card must be higher than the highest card already on the table. Assuming the
game is played with a single deck, what is the chance that the next card drawn will win the
hand? (An ace has a value of 1.)
A.3%
B.12%
I
C.24%
D.25%
Answer:
24%
Step-by-step explanation:
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The probability of drawing a card that could win the hand and actually winning the hand is 12%.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
There are 50 cards left in the deck after the 5 of spades and 10 of clubs are drawn since there are 4 suits with 13 cards each, and 2 of those cards have already been drawn.
Out of the remaining 50 cards, there are 16 cards that could win the hand: the 9 remaining cards higher than the 10 of clubs in any suit, and the 6 remaining cards in the spade suit (since the 5 of spades is already on the table).
Therefore, the probability of drawing a card that could win the hand is 16/50, which simplifies to 8/25. This is approximately 0.32 or 32%.
However, we need to subtract the probability of drawing the 5 of clubs, 10 of spades, or any of the 8 remaining cards that would not win the hand.
The probability of drawing one of these cards is 10/50, which simplifies to 1/5 or 20%.
The probability of drawing a card that could win the hand and actually winning the hand is:
(16/50) x (1/5)
= 0.32 - 0.2
= 0.12 or 12%.
Thus,
The probability of drawing a card that could win the hand and actually winning the hand is 12%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Factor the quadratic:
2x^2-7x+3
The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the nearest hundredth.
Answer:
235
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 9*12.5=112.5
rec 2: (13.5-5.5)*(19.5-9-7)=28
rec 3:7*13.5=94.5
Then:
112.5+28+94.5=235
Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box? Enter your answer in the box.
*I will give you 48 POINTS AND BRAIN-LEST*
The width of a rectangle measures (4d – 8) centimeters, and its length measures
(7d – 3) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
Answer:
(22d-22) cm
Step-by-step explanation:
perimeter= 2×(4d-8+7d-3)
= 2× (11d-11)
(22d - 22) cm
Answer:
(22d-22)cm
Step-by-step explanation:
Perimeter = 2 x (width + Length)
= 2 x [(4d – 8) + (7d – 3)]
= 2 x (11d-11)
= (22d-22)cm
find the measure of angles
Answer:
∠1 & ∠3 = 68°
∠2 & ∠4 = 112°
Step-by-step explanation:
180 degrees is the total sum of the angles in a triangle.
180 - 68 = 112