Answer: $5.096 or $5.10 (nearest cent)
Step-by-step explanation:
first u find 20%of one slice pizza
which is ²⁰/¹⁰⁰ × 3.64 = 0.728
then u multiply 0.728 by 7 = $5.096
Statements True or False 4.086<5.0254.086<5.025 True False 6.37=6.3706.37=6.370 True False 11.716<11.70811.716<11.708 True False 64.28>64.28164.28>64.281 True False 3,756.082<3,756.8023,756.082<3,756.802 True False
Answer:
4.086 < 5.025 true
6.37 = 6.370 true
64.28 > 64.281 false
11.716 < 11.708 false
64.28 > 64.281 false
3,756.082 < 3,756.802 true
Step-by-step explanation:
First, let's define how the symbols work.
a < b means that a is strictly smaller than b
a > b means that a is strictly greater than b
Also, for rounding up or down:
Suppose that we want to round to the second decimal after the decimal point.
Then, we need to look at the third one, if it is 5 or larger, we round up.
if it smaller than 5, we round down.
We need to see if each statement is true or not.
a) 4.086 < 5.025
This is true, the number 5.025 is larger than 4.086 (you only need to see at the units digit) So this statement is true.
b) 6.37 = 6.370
Because the third digit is equal to zero, we can round down the right number to 6.37, then the equality is true.
c) 11.716 < 11.708
11.716 is actually larger than 11.708, so this statement is false
d) 64.28 > 64.281
We have that:
64.28 + 0.001 = 64.281
Then 64.281 is larger than 64.28, so this statement is false.
e) 3,756.082 < 3,756.802
By looking at the numbers after the decimal point, we can see that the right number is larger than the left one, then the statement is true.
Help jkdkdodjdjdjjsidjdkdkdjnddijdkdjsidjdndkxjkdodjdkdkdkdk it had to be 20 characters long
Answer:
part 1. -1 1/2
part 2. On letter A
Explanation:
D=0
B=-1
C=-1/2
-1 + -1/2= -1 1/2
Answer:
-1 1/2
Step-by-step explanation:
B is -1
C is -1/2
D is 0
-1 + (-1/2) = -1 1/2
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 and a standard deviation of $290. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Answer:
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes 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 [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of $2,275 and a standard deviation of $290.
This means that [tex]\mu = 2275, \sigma = 290[/tex]
Sample of 65:
This means that [tex]n = 65, s = \frac{290}{\sqrt{65}}[/tex]
Finding the mean to be at least $2,095 per month
This is 1 subtracted by the p-value of Z when X = 2095. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a p-value of 0.
1 - 0 = 1
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. 72 ÷ 8 − 2 × ( 3 + 1 ) ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 )
72 / 8 - 2 x 3 + 1 equals 1
(72 / 8) - 2 x 3 + 1 equals 4
72 / (8 - 2) x 3 + 1 equals 37
72 / (8 - 2) x (3 + 1) equals 48
Following Add-On Contains the content I think your doing:
The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The expressions are given below:
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
Simplify the expression, then we have
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4
1, 2, 37, 48
More about the ascending order link is given below.
https://brainly.com/question/320500
#SPJ2
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.14 for π
Answer:
401.92
Step-by-step explanation:
[tex]volume=\pi r^{2} h[/tex]
3.14 x (4x4) x 8 = 401.92
15 points please help me solve for x
Answer:
82' is the write answer
and like the answer and follow me
Answer:
[tex]x = 73.74[/tex]°.
Step-by-step explanation:
In order to find the angle measure of [tex]x[/tex], you can use the trigonometric function sine to calculate the value of it. Sine is a trigonometric function used in right triangles to solve for the sides and angles, it states that the sine of an angle is equal to the side opposite to it divided by the hypotenuse. In this case, [tex]sin(x)=\frac{48}{50}[/tex]. If you want to isolate the variable [tex]x[/tex] on one side to calculate its value, take the [tex]sin^{-1}[/tex] or arcsine of both sides. [tex]arcsin(sin(x))=arcsin(\frac{48}{50})[/tex] ⇒ [tex]x = arcsin(\frac{48}{50})[/tex] ⇒ [tex]x[/tex] ≈ 73.74°, so that would be the correct answer.
Write an equation of a line with slope -4 and y- intercept of 0
Answer:
y=-4x
Step-by-step explanation:
Find the missing side lengths. Leave your answers as radicals in simplest form.
Sep by step explanation pls
Answer:
[tex]a =22[/tex]
[tex]b = 11[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find a and b
Using cosine formula, we have:
[tex]\cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]
So, we have:
[tex]\cos (30) = \frac{11\sqrt 3}{a}[/tex]
Make a the subject
[tex]a = \frac{11\sqrt 3}{\cos (30)}[/tex]
[tex]\cos(30) = \frac{\sqrt 3}{2}[/tex]
So, we have:
[tex]a = \frac{11\sqrt 3}{\frac{\sqrt 3}{2}}[/tex]
Rewrite as:
[tex]a = 11\sqrt 3 \div \frac{\sqrt 3}{2}[/tex]
This gives:
[tex]a = 11\sqrt 3 * \frac{2}{\sqrt 3}[/tex]
[tex]a = 11 * 2[/tex]
[tex]a =22[/tex]
To solve for b, we use Pythagoras theorem
[tex]a^2 = b^2 + (11\sqrt 3)^2[/tex]
[tex]22^2 = b^2 + (11\sqrt 3)^2[/tex]
[tex]484 = b^2 + 363[/tex]
Collect like terms
[tex]b^2 = 484 - 363[/tex]
[tex]b^2 = 121[/tex]
Take positive square roots
[tex]b = \sqrt {121[/tex]
[tex]b = 11[/tex]
Select the correct answer from each drop-down menu.
40
45
50
55
60
65
70
75 80
85
For this data set, the best measure of center is the
and its value is
Sarah earns $340 per week and spends 20% of her earnings on transportation. How much does Sarah spend on transportation every week?
Answer:
$68
Step-by-step explanation:
=> 20% 0f 340
=> (20/100) * 340
=> (1/5) * 340
=> (340/5) = 68
Sarah spends $68 dollar on transportation.
Thenks and mark me brainliest :)
A classroom has a perimeter of 62.25m. What is the absolute error of the perimeter?
0.005m
Step-by-step explanation:Measuring properties of a given entity is always prone to error and hence leads to inaccuracy in the resulting measurement. One of such errors is the absolute error.
Absolute error is the difference between the actual/exact value and measured value.
The classroom has been measured to have a perimeter of 62.25m. This shows that it is accurate to 0.01 of a meter. This means that the actual measurement of the classroom could either be 0.005m more or less than the measured value.
In other words, the actual value of the classroom is
62.25 ± 0.005 m
This difference of 0.005 m gives the absolute error.
What is the radius of a hemisphere with a volume of 19160 ft', to the nearest tenth
of a foot?
Interest charged when you miss a payment is called _____. A. accrued interest B. late interest C. past due interest D. late payment interest
Answer:
A
Step-by-step explanation:
Answer:
its d , Late payment interest
Step-by-step explanation:
A guard in a 20m tall watchtower spots a vehicle at an angle of depression oi 25
How far horizontally from the tower is the vehicle, to one decimal place? (
Answer:
Solution given:
height[p]=20m
angle of depression [a]=25°
base[b]=?
we have
Tan a=p/b
tan 25=20/b
b=20/tan25
b=42.89 or 43
the tower is 43m far from the vehicle .
Four office desks that are 4 1/8 feet long are to be placed together on a wall that is 16 5/8 feet long. Will they fit on the wall?
Pleaseee helppp!!! (Im looking for the x)
Answer:
[tex]2x + 15 + x = 171 \\ 3x = 171 - 15 \\ 3x = 156 \\ \frac{3x}{3} = \frac{156}{3} \\ x = 52[/tex]
Step-by-step explanation:
i hope this is helpful
When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level. Required:
a. Write a differential equation that expresses the rate of change in the radiation level in terms of the radiation level.
b. Suppose that when the reactor is first shut down, the radiation level is 3 × 1017 units. After 60 s the level has dropped to 5.6 × 1013 units. Write the particular equation.
c. Sketch the graph of radiation level versus time.
d. It is safe to enter the reactor compartment
when the radiation level has dropped to
7 × 10–3 units. Will it be safe to enter the reactor compartment 5 min after the reactor has been shut down? Justify your answer.
Answer:
hold on ill edit this once i get answer!! <3
Step-by-step explanation:
In general, categorical data ___but do not___
O A. classify; measure
O B. measure; classify
O C. value; measure
O D. none of the above
Answer:
The answer is A Lma/o
Step-by-step explanation:
Asap: Write an equation to represent this hanger:
5x + 2 = 17
where x = 3
i hope this may be helpful
PLEASE HELP
Which line is a linear model for the data?
THIS ISNT MY ANSWER
Answer:
The upper left
Step-by-step explanation:
Evaluate the following expression when a = 5.
4a2 + a-3
What is the quotient?
Answer:
4 x 10^12
Step-by-step explanation:
Just subtracte the power since it is division
8- (-4)=12
if someone could please answer this question and explain how to solve it that would be so helpful.
Answer:
x=4
Step-by-step explanation:
x=4
Step-by-step explanation:
first subtract 4 from both sides of the equation 2x+4-4=12-4
simplify 2x=8
divide both sides of the equation by the same term
2x=8
2 2
cancel the terms that are in the numerator and denominator then decide the numbers
x=4
5. Which statement is NOT TRUE about the function: y = -3x + 14 a. The Slope = -3 and the y-intercept = 14 b. A solution to this equation is (-1, 11) C. The equation is a Linear function d. The graph of the function passes through (4, 2)
Answer:
B
Step-by-step explanation:
Given that 3x - 8y = 28
Find y when x = 9
Give your answer as a fraction in its simplest form
Answer:
y = -1/8
Step-by-step explanation:
substitute 9 in for x in the equation
3(9) - 8y = 28
27 - 8y = 28
-27 from both sides to get
-8y = 1
divide both sides by -8
y = -1/8
The Unit Circle
What is cos 180°?
a. 0
b. 1
c. -1
d. 1/2
Please select the best answer from the choices provided
Answer:
C. -1
Step-by-step explanation:
I calculated it logically
Answer:
-1
Step-by-step explanation:
cos = opp/hyp
At 180º
adj = -1
hyp = 1
Cos 180 = -1/1 = -1
10=z+6 plsss solve !!!!
Answer:
z=4
Step-by-step explanation:
10=z+6
10-6=z
z=4
Answer:
z = 4
Step-by-step explanation:
10 = z + 6
z = 10 - 6 = 4
I need some more letters to post
What is the volume of this shape to the nearest tenth
A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base. The base needs to be stronger than the sides, so it costs more. The base costs $9 per f t 2 , while the sides only cost $6 per f t 2 . We wish to find the dimensions of the box that minimize the cost of material used.
Answer:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
Step-by-step explanation:
Given
[tex]Volume = 128ft^3[/tex]
[tex]L = 2W[/tex]
[tex]Base\ Cost = \$9/ft^2[/tex]
[tex]Sides\ Cost = \$6/ft^2[/tex]
Required
The dimension that minimizes the cost
The volume is:
[tex]Volume = LWH[/tex]
This gives:
[tex]128 = LWH[/tex]
Substitute [tex]L = 2W[/tex]
[tex]128 = 2W * WH[/tex]
[tex]128 = 2W^2H[/tex]
Make H the subject
[tex]H = \frac{128}{2W^2}[/tex]
[tex]H = \frac{64}{W^2}[/tex]
The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:
[tex]A = LW + 2(WH + LH)[/tex]
The cost is:
[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12H(W + L)[/tex]
Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]
[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]
[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]
[tex]Cost =18W^2 + \frac{2304}{W}[/tex]
To minimize the cost, we differentiate
[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]
Then set to 0
[tex]2*18W + -1 * 2304W^{-2} =0[/tex]
[tex]36W - 2304W^{-2} =0[/tex]
Rewrite as:
[tex]36W = 2304W^{-2}[/tex]
Divide both sides by W
[tex]36 = 2304W^{-3}[/tex]
Rewrite as:
[tex]36 = \frac{2304}{W^3}[/tex]
Solve for [tex]W^3[/tex]
[tex]W^3 = \frac{2304}{36}[/tex]
[tex]W^3 = 64[/tex]
Take cube roots
[tex]W = 4[/tex]
Recall that:
[tex]L = 2W[/tex]
[tex]L = 2 * 4[/tex]
[tex]L = 8[/tex]
[tex]H = \frac{64}{W^2}[/tex]
[tex]H = \frac{64}{4^2}[/tex]
[tex]H = \frac{64}{16}[/tex]
[tex]H = 4[/tex]
Hence, the dimension that minimizes the cost is:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
How to convert the following amounts to a mixed fraction 150/49
Answer:
[tex]3\frac{3}{49}[/tex]
Step-by-step explanation:
This one is pretty simple. 50 fits into 150 perfectly 3 times. If we take one out of the denominator, we must add one to the numerator after every whole number being taken out of the fraction and put in the ones spot.
Answer:
You have to find how many times 49 can fit into 150 and then that number is the whole and the remaining will be the numerator and 49 will stay as the denominator.
Step-by-step explanation: