Answer:
A. 48
Step-by-step explanation:
Due to the law of large numbers, as sample size increases, proximity to the true mean increases for the sample mean.
Help with this question!Please
Answer:
x = 14 for the first one, x = 60 for the second one
Step-by-step explanation:
Step-by-step explanation:
We know the measure of a straight line is 180° . So that ,
> 5x - 10 + 120 = 180
> 5x = 60 + 10
> 5x = 70
> x = 70/5
> x = 14
Solution 2 :-
> x + 50 + 70 = 180
> x = 180 - 120
> x = 60
A sign is 6 feet long and 4 feet high. Part of it is a red rectangle that is 3 feet by 2 feet. What percent of the sign is red
Answer:
25%
Step-by-step explanation:
Given data
Dimension of sign
Length= 6ft
Width= 4 ft
Area= Length* Width
Area= 6*4
Area= 24 ft^2
Dimension of Red part
Lenght= 3ft
Width= 2 ft
Area of Red part
Area= 3*2
Area= 6 ft^2
Hence the percentage that is the red part is
=6/24*100
=0.25*100
=25%
Use Pythagorean Theorem to determine if the three
given sides create a right triangle.
15 m, 8 m, 17 m
Show your work
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
8²+15²=17²
64+225=289
289=289 YES, it is a right triangle
8
4
A gold bar is similar in shape to a rectangular prism. A gold bar is
7 1
approximately 7 in.x3 in.x1 in. If the value of gold is $1,214 per ounce,
about how much is one gold bar worth? Use the formula w 11.15n, where w
is the weight in ounces and n=volume in cubic inches, to find the weight in
ounces. Explain how you found your answer.
Answer:
[tex]Worth = \$284258.1[/tex]
Step-by-step explanation:
Given
[tex]Dimension: 7in\ * 3in\ * 1in[/tex]
[tex]Value = \$1214/oz[/tex] ---- value of Gold
Required
The worth of 1 gold bar
First, calculate the volume (n) of the gold bar
[tex]n = 7in * 3in * 1in[/tex]
[tex]n = 21in^3[/tex]
Next, calculate the weight of the gold bar using:
[tex]w = 11.15n[/tex]
[tex]w = 11.15 * 21[/tex]
[tex]w = 234.15oz[/tex]
Multiply the value of Gold by the weight of the gold bar to get the worth of the gold bar.
[tex]Worth =Value * w[/tex]
This gives:
[tex]Worth = \$1214/oz * 234.15oz[/tex]
[tex]Worth = \$1214 * 234.15[/tex]
[tex]Worth = \$284258.1[/tex]
Isa makes a goal to drink 56 cups of water
Answer:
Good for her!
Step-by-step explanation:
Answer:
Ok she dark 56 cup witch is Equal to 56x1
Step-by-step explanation:
HELP! can anyone help? I’m pretty stuck and the answer isn’t 2,700.. I’ll give Brainly please :(
Suppose that there were a positive correlation between the variables u and v. If v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?
Answer:
The correct answer is 48, given by option c.
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
Positive correlation means that the variables are directly proportional, and thus, we apply cross multiplication.
If v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?
24 - 10
x - 20
Applying cross multiplication:
[tex]10x = 24*20[/tex]
Simplifying both sides by 10:
[tex]x = 24*2 = 48[/tex]
The correct answer is 48, given by option c.
There are 14 fish in the fish tank. Five-sevenths of
them are goldfish. How many goldfish are in the
tank?
Answer:
10
Step-by-step explanation:
Math grade 9, can anyone solve it
Answer:
a) Acceleration = 2.4 m per seconds²
b) Distance traveled = 132 m
Step-by-step explanation:
a). Acceleration of an object is defined by the equation,
v = u + at
Here, v = Final speed
u = Initial speed
a = Acceleration
t = Duration Or time
From the graph attached,
Between t = 0 and t = 5 seconds,
v = 12 meter per second
u = 0
t = 5 seconds
B substituting values in the equation,
12 = 0 + a(5)
a = [tex]\frac{12}{5}[/tex]
a = 2.4 m per seconds²
b). Equation representing distance traveled by an object,
v² = u² + 2as
Here, v = Final speed
u = Initial speed
a = Acceleration
s = Distance traveled
By substituting these values in the given equation,
1). Between t = 0 to t = 5 seconds,
(12)² = 0 + 2(2.4)s
s = [tex]\frac{144}{4.8}[/tex]
s = 30 m
2). Between t = 5 to t = 12 sec
Car moved with a constant speed (Acceleration = 0)
Distance traveled = Speed × Time
= 12 × 7
= 84 m
3). Acceleration of the car between t = 12 sec to t = 15 sec
By substituting the values in the equation,
v = u - at
0 = 12 - a(3)
a = 4 meter per seconds²
Distance traveled in this duration,
v² = u² - 2as
0 = (12)² - 2(4)s
144 = 8s
s = [tex]\frac{144}{8}[/tex]
s = 18 m
Therefore, total distance covered by the car = 30 + 84 + 18
= 132 meters
3. The electric current, C, in amperes, in a circuit varies directly as the voltage, V. When 12 volts are
applied, the current is 4 amperes. What is the voltage with the current is 6 amperes?
A 20 volts
B. 18 volts
C.16 volts
D. 8 volts
Choose an appropriate data display for the situation. Write the CAPITAL letter of your choice.
No repeats.
A. bar graph
_5.) the profits of a company over a year
B.circle graph
C. scatter plot
_6.) a person's income based on age
D. line graph
E. pictograph
7.) percent of student athletes in each sport
8.) the numbers and types of different species of fish at an aquarium
Answer:
LINE GRAPH : the profits of a company over a year
SCATTER PLOT : a person's income based on age
CIRCLE GRAPH : percent of student athletes in each sport
BAR GRAPH: the numbers and types ofdifferent species of fish at an aquarium
Step-by-step explanation:
The scatter plot are useful when trying to create a graphical relationship between two measured variables, like the camparison or relationship between age and income.
Line graph is used to monitor changes in a certain variable over time. Observing the fluctuation or variation in income over a certain period.
The circle graph represents the segmentation of a whole into groups or categories with each segment representing a proportion or percentage of the whole.
The bar graph also useful for categorization using vertical bars.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
80
Step-by-step explanation:
18^2 + 80^2 = 82
324 + 160 = c^2
Answer:
80 cm
Step-by-step explanation:
To solve this problem, you can use the pythagorean theorem which is a^2 + b^2 = c^2. We are given that a = 18, and c as the hypotenuse equals to 82. We can plug these numbers into the theorem:
18^2 + b^2 = 82^2
324 + b^2 = 6724
b^2 = 6400
b = 80 cm
witch sides are perpendicular??
Answer:
B
Step-by-step explanation:
jeff volunteers his time by working at an animal shelter. each year he works for total of 240 hours. so far this year, he has worked 97 hours . which equation will solve for how many more hours (h) jeff will volunteer for?
Answer:
h=240-97
Step-by-step explanation:
Q1. In a fruit cocktail, for every 30 ml
of orange juice you need 20 ml of
apple juice and 50 ml of coconut milk.
What proportion of the cocktail is
orange juice? Give your answer as a
fraction in its simplest form.
Answer:
3/10
Step-by-step explanation:
[tex] \frac{30}{30 + 20 + 50} = \frac{3}{10} [/tex]
A collection of 30 gems, all of which are identical in appearance, are supposedto be genuine diamonds, but actually contain 8 worthless stones. The genuine diamonds arevalued at $1200 each. Two gems are selected.
(a) Let X denote the total actual value of the gems selected. Find the probability distribution function for X.
(b) Find E(X).
Answer:
Step-by-step explanation:
From the given information:
There are 30 collections of gems, of which 8 are worthless;
Thus, the number of the genuine diamonds = 30 - 8 = 22.
Let X = random variable;
X consider the value as 0 (for 2 worthless stone selection),
X = 1200(1 worthless stone & 1 genuine stone)
X = 2400 (2 genuine stones selected)
However, the numbers of ways of selecting and chosen Gems can be estimated as:
[tex](^n_r) = (^{30}_2) \\ \\ \implies \dfrac{30!}{2!(30-2)!} \\ \\ \implies \dfrac{30!}{2!(28)!} \\ \\ \implies \dfrac{30*29*28!}{2!(28)!} \\ \\ \implies \dfrac{30*29}{2*1} \\ \\ \implies 435[/tex]
Thus;
[tex]Pr (X = 0) = \dfrac{(^8_2)}{435}[/tex]
[tex]Pr (X = 0) = \dfrac{\dfrac{8!}{2!(8-2)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7*6!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7}{2*1}}{435} \\ \\ Pr (X = 0) = 0.0644[/tex]
[tex]P(X =1200) = \dfrac{(^{8}_{1})(^{22}_{1})}{435}[/tex]
[tex]P(X =1200) = \dfrac{ \dfrac{8!}{1!(8-1)!}) ( \dfrac{22!}{1!(22-1)!}) }{435}[/tex]
[tex]P(X =1200) = \dfrac{ (8) ( 22) }{435}[/tex]
[tex]P(X =1200) =0.4046[/tex]
[tex]Pr (X = 2400) = \dfrac{(^{22}_2)}{435}[/tex]
[tex]Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(22-2)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(20)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22*21*20!}{2!(20)!}}{435} \\ \\ Pr (X =2400) = \dfrac{\dfrac{22*21}{2*1}}{435} \\ \\ Pr (X = 2400) = 0.5310[/tex]
To find E(X):
E(X) = (0 × 0.0644) + (1200 × 0.4046) + (2400 × 0.5310)
E(X) = 0 + 485.52 + 1274.4
E(X) = 1759.92
What ratio/s are equivalent to the following ratio: 6:8
a 3:4 b 12:16. с 18:24 d 30:40
Answer:
a. 3/4
Step-by-step explanation:
6:8
=6/8
=3/4
Hope it Helps
What's the area of the shape?
Answer:
Area = 80 yd²
Step-by-step explanation:
=> First make a common base:
Common base = (Base 1 + Base 2) / 2
Common base = (14 + 18) / 2
Common base = 32 / 2
Common base = 16
=> Now multiply the common base by the height to find the area:
Area of the figure = Common Base * Height of the figure
A = 16 * 5
A = 80
Hope this helps!
What coordinates will remain the same? What coordinates will change to the opposite between the pre-- and post-image?
Answer:
Y values will stay the same
Step-by-step explanation:
Reflecting over the Y axis will alter the distance left and right but not up and down. so only Y remains unchanged
Karen traveled 480 miles in 6 hours. She then increased her speed by 20 miles. How long did it take her to travel the next 560 miles?
Answer:
Step-by-step explanation:
480 divided by 6 is 80, so she was initially traveling at 80 mph.
She then increased her speed by 20 mph, therefore making it 100 mph. (Someone arrest her already.)
560 divided by 100 is 5.6 hours.
0.1 of an hour is 6 minutes.
0.6 of an hour is therefore 36 minutes.
Your answer is 5 hours and 36 minutes.
Are 2x + 8 and 2 (x + 4)+ 4 equivalent expressions? *
Answer:
currently no
Why?
Step-by-step explanation:
Look at their differences and when you try to answer them they have different answers. :-)
HOPE IT HELPS
(FROM CROSS)
a triangles angles measures 87 degrees 32 degrees and 61 degrees. What type of triangle is this?
Answer:
Scalene
Step-by-step explanation:
Answer: Acute scalene triangle
A triangle with uneven degrees on all sides is known as a scalene triangle. Since none of the degrees are above 90, this triangle can also be described as acute.
find the area. the figure is not drawn to scale.
Answer:
131.5
Step-by-step explanation:
To find the area of the rectangle, we multiply the base and the height.
In this case, the base is 8 and the height is 13 I think. ( Your picture cuts it off very poorly)
8 x 13 = 104
Now, we need to find the area of the triangle. It is the same equation as the rectangle but we divide the result by 2.
11 * 5 = 55
55/2 = 27.5
27.5 + 104 = 131.5
If it's wrong, it's probably because of the picture. I can't tell what the height is of the rectangle, because it's certainly not 3.
Can you please find mJPK?
Answer:66.5
Step-by-step explanation:
Let θ represent ∠MLK
Arc length (s) = radius (r) · θ (theta must be in radians)
Step-by-step explanation:
3. What is the area of the triangle below?
1
Use A
-bh.
8 in.
17 in.
C 136 in?
A 35 in?
B 68 in?
Answer:
B 68 in I think
Step-by-step explanation:
hope this helpd
I need help for my hw asap!! Help pls!!! Thank you
Answer:
1. S.A. = 4350 cm²
2. S.A. = 864 cm²
3. S.A. = 240 cm²
4. S.A. = 224 m²
5. S.A. = 301.6 in.²
6. S.A. = 6,082.1 cm²
7. S.A. = 923.6 in.²
Step-by-step explanation:
1. Surface area of the rectangular prism = 2(LW + LH + WH)
L = 45 cm
W = 25 cm
H = 15 cm
S.A. = 2(45*25 + 45*15 + 25*15)
S.A. = 4350 m²
2. Surface area of the cube = 6a²
a = 12 cm
S.A. = 6(12²)
S.A. = 864 cm²
3. Surface area of triangular prism = bh + (s1 + s2 + s3)*H
b = 4 cm
h = 6 cm
s1 = 4 cm
s2 = 7 cm
s3 = 7 cm
H = 12 cm
Plug in the values
S.A. = 4*6 + (4 + 7 + 7)*12
S.A. = 24 + (18)*12
S.A. = 24 + 216
S.A. = 240 cm²
4. Surface area of the square based pyramid = area of the square base + 4(area of 1 triangular face)
S.A. = (8*8) + 4[(8*10)/2]
S.A. = 64 + 4(40)
S.A. = 64 + 160
S.A. = 224 cm²
5. Surface area of the cone = πrl + πr²
r = 6 in.
l = 10 in.
S.A. = π*6*10 + π*r²
S.A. = 60π + 36π
S.A. = 301.592895
S.A. = 301.6 in.² (nearest tenth)
6. Surface area of the sphere = 4πr²
r = 22 cm
S.A. = 4*π*22²
S.A. = 1,936π
S.A. = 6,082.1 cm² (nearest tenth)
7. Surface area of the cylinder = 2πrh + 2πr²
r = 7 in.
h = 14 in.
S.A. = 2*π*7*14 + 2*π*7²
S.A. = 923.6 in.² (nearest tenth)
Which value can be added to the set below without changing its mean?
{4, 10, 14, 18, 22, 22}
Answer:
Zero (0)
Step-by-step explanation:
Because 0 is a number and it doesn't change anything
I don't know if I'm right I guessed so I could be wrong
Plz help me well mark brainliest!..
9514 1404 393
Answer:
(a) (-3/4, 1/2)
Step-by-step explanation:
There are 4 grid lines between 0 and 1 in each direction, so each grid line represents 1/4 unit. Two of them is 1/2 unit; 3 of them is 3/4 unit. The x-dimension is listed first in the ordered pair.
Point S has coordinates (-3/4, 1/2).
Hector has 7/8 of a pound of leftover Halloween candy. He plans on giving it away to his friends. If he plans on giving each person 1/16 of a pound, how many people can he give to? Show your work.
Answer: 14
Step-by-step explanation:
1/16x = 7/8
x = 7/8*16/1 = 14
He can sell his candy
Give away to people.
The height above the ground of a passenger on a Ferris wheel t minutes after the ride begins is modeled by the differentiable function H, where H(t) is measured in meters. Which of the following is an interpretation of the statement H'(7.5) = 15.708?
(A) The Ferris wheel is turning at a rate of 15,708 meters per minute when the passenger is 7.5 meters above the ground.
(B) The Ferris wheel is turning at a rate of 15.708 meters per minute 7.5 minutes after the ride begins.
(C) The passenger's height above the ground is increasing by 15.708 meters per minute when the passenger is 7.5 meters above the ground.
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
(E) The passenger is 15.708 meters above the ground 7.5 minutes after the ride begins.
Answer:
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
Step-by-step explanation:
Here, H(t) is the height after the t minutes of time.
Given :
H'(7.5) = 15.708 meters / minute
H'(t) = [tex]$\frac{d(H(t))}{dt}$[/tex]
= rate of change of the height
So, here, H'(t) = rate of change of height
Therefore, H'(7.5) = 15.708 meters / minute
It shows that the passenger's height is increasing at rate 15.708 meters per minute at time t = 7.5 minutes after the ride begins.