Answer:
Step-by-step explanation:
Point estimate is also referred to as sample proportion, p. It is used to estimate the population proportion. The formula for determining point estimate is expressed as
p = x/n
Where
x = number of success
n = number of trials or samples
a) x = 454
n = 478
p = 454/478 = 0.9498
b) x = 741
n = 833
p = 741/833 = 0.8896
c) x = 1058
n = 1644
p = 1058/1644 = 0.6436
The proportion of people that used the internet decreased as the age group increased. Therefore, they are inversely proportional
solve the exponential function 3 to the x-5 = 9
Answer:
x = 7
Step-by-step explanation:
[tex] 3^{x - 5} = 9 [/tex]
[tex] 3^{x - 5} = 3^2 [/tex]
[tex] x - 5 = 2 [/tex]
[tex] x = 7 [/tex]
Translate into an equation: The cost of V ounces at $2 per ounce equals $56.
Answer:
V = number of ounces
56 = 2V
Step-by-step explanation:
Answer:28
Step-by-step explanation:V times 2= 56
Write an equation of a line with the given slope and y-intercept. m = 4/5 , b = 2 y = 2x + y = x – 2 y = x + 2 y = x + 2
Answer:
[tex]y = \frac{4}{5} x + 2[/tex]
Step-by-step explanation:
Put the slope value given as the coefficient of x.
It is the "m" in the formula y = mx + b
I'm not sure what the other equations in the question are there for. Maybe to change from slope-intercept form to standard form?
y = 2x +
y = x – 2 becomes y -x = -2 or x - y = 2
y = x + 2 becomes y -x = 2 or x - y = -2
Some examples of the graphs are in the attachment
In her backyard, Mary is planting rows of tomatoes. To plant a row of tomatoes, mary needs 20/13 square feet. There are 40 square feet in Mary's backyard, so how many rows of tomatoes can mary plant??
Answer:
26 rows
Step-by-step explanation:
[tex]number \: of \: rows \\ = \frac{40}{ \frac{20}{13} } \\ \\ = \frac{40 \times 13}{20} \\ \\ = 2 \times 13 \\ \\ = 26 \: [/tex]
The graph of y =ex is transformed as shown in the graph below. Which equation represents the transformed function?
Answer:
B. e^x+3
Step-by-step explanation:
Y=e^x
the graph is moving 3 units up
y= y+3
y=e^x+3
answer = y=e^x+3
Answer: B
Step-by-step explanation:
The world’s population is currently estimated at 7,125,000,000. What is this to the nearest billion? billion
Answer:
7,000,000,000
Step-by-step explanation:
since the closest number is less than 5 (1<5) you round down making the nearest billion 7
Answer:
7,000,000,000 OR 7 Billion
Step-by-step explanation:
Since the 1 is millions place and its less than 5, you need to round down meaning that 7,125,000,00 rounded to the nearest billion is 7 billion.
Translate the following argument in a standard form categorial syllogims then use venn diagram or rules for syllogim to determine whether each is valid or invalid.
All of the movies except the romantic comedies were exciting. Hence, the action films were exciting,because none of them is a romantic comedies.
Answer:
couldnt tell you
Step-by-step explanation:
jkj
Andrew plans to retire in 36 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal.
(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 36 years will exceed 11%?
(b) What is the probability that the mean return will be less than 5%?
Answer:
a) 24.82% probability that the mean annual return on common stocks over the next 36 years will exceed 11%
b) 13.57% probability that the mean return will be less than 5%
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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.
In this question:
[tex]\mu = 8.7, \sigma = 20.2, n = 36, s = \frac{20.2}{\sqrt{36}} = 3.3667[/tex]
(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 36 years will exceed 11%?
This is 1 subtracted by the pvalue of Z when X = 11.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{11 - 8.7}{3.3667}[/tex]
[tex]Z = 0.68[/tex]
[tex]Z = 0.68[/tex] has a pvalue of 0.7518
1 - 0.7518 = 0.2482
24.82% probability that the mean annual return on common stocks over the next 36 years will exceed 11%
(b) What is the probability that the mean return will be less than 5%?
This is the pvalue of Z when X = 5.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{5 - 8.7}{3.3667}[/tex]
[tex]Z = -1.1[/tex]
[tex]Z = -1.1[/tex] has a pvalue of 0.1357
13.57% probability that the mean return will be less than 5%
The function defined by w(x)=-1.17x+1260 gives the wind speed w(x)(in mph) based on the barometric pressure x (in millibars,mb). a) Approximate the wind speed for a hurricane with the barometric pressure of 900mb. b) Write a function representing the inverse of w and interpret its meaning in context. c) Approximate the barometric pressure for a hurricane with speed 90 mph.
Answer:
a) 207 mph
b) x = (1260-w)/1.17
c) 1000 mb
Step-by-step explanation:
a) Put the pressure in the equation and solve.
w(900) = -1.17(900) +1260 = 207
The wind speed for a hurricane with a pressure of 900 mb is 207 mph.
__
b) Solving for x, we have ...
w = -1.17x +1260
w -1260 = -1.17x
x = (1260 -w)/1.17 . . . . inverse function
__
c) Evaluating the inverse function for w=90 gives ...
x = (1260 -90)/1.17 = 1170/1.17 = 1000 . . . millibars
The approximate barometric pressure for a hurricane with a wind speed of 90 mph is 1000 millibars.
In ABC,if sin A=4/5 and tan A=4/3, then what I s cos A?
Researchers studied the mean egg length (in millimeters) for a particular bird population. After a random sample of eggs, they obtained a 95% confidence interval of (45,60) in millimeters. In the context of the problem, which of the following interpretations is correct, if any?
A. We are 95% sure that an egg will be between 45 mm and 60 mm in length.
B. For this particular bird population, 95% of all birds have eggs between 45 mm and 60 mm.
C. We are 95% confident that the mean length of eggs for this particular bird population is between 45 mm and 60 mm.
D. We are 95% confident that the mean length of eggs in the sample is between 45 mm and 60 mm.
E. None of the above is a correct interpretation.
Answer:
C. We are 95% confident that the mean length of eggs for this particular bird population is between 45 mm and 60 mm.
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
For 95% confidence interval, it means that we are 95% confident that the mean of the population is between the given upper and lower bounds of the confidence interval.
For the case above, the interpretation of the 95% confidence interval is that we are 95% confident that the mean length of eggs for this particular bird population is between 45 mm and 60 mm.
Show me step by step please help me I don’t know I got summer school
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Note that PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
& is the order of operation.
Also note, that you are solving for x, in all instances.
1) x + c = d
Note the equal sign, subtract c from both sides:
x + c (-c) = d (-c)
x = d - c
2) x - p = g
Note the equal sign, add p to both sides:
x - p (+p) = g (+p)
x = g + p
3) FX = S
Note the equal sign, divide F from both sides:
(FX)/F = (S)/F
X = S/F
4) 3x - q = p
Note the equal sign, first, add q to both sides:
3x - q (+q) = p (+q)
3x = p + q
Next, divide 3 from both sides. Note that when you divide 3 from the right side, you are dividing from all terms:
(3x)/3 = (p + q)/3
x = (p + q)/3
5) cx - d = 4
Note the equal sign, first, add d to both sides:
cx - d (+d) = 4 (+d)
cx = 4 + d
Next, divide c from both sides.
(cx)/c = (4 + d)/c
x = (d + 4)/c
6) FX - S = M
Isolate the variable, x. First, add S to both sides:
FX - S (+S) = M (+S)
FX = M + S
Next, divide F from both sides:
(FX)/F = (M + S)/F
X = (M + S)/F
~
Which of the following theorems verifies that HIJ MLN?
Answer:
HL (try HL, I believe that's the right answer)
Answer:
HL
Step-by-step explanation:
BRO TRUST ME
An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the following:(a) 8 objects from 19(b) 3 objects from 25(c) 2 objects from 23
Answer:
a
[tex]n= 75, 582[/tex]
b
[tex]n= 2300[/tex]
c
[tex]n = 253[/tex]
Step-by-step explanation:
Generally the size of the sample sample space is mathematically represented as
[tex]n = \left N } \atop {}} \right. C_r[/tex]
Where N is the total number of objects available and r is the number of objects to be selected
So for a, where N = 19 and r = 8
[tex]n = \left 19 } \atop {}} \right. C_8 = \frac{19 !}{(19 - 8 )! 8!}[/tex]
[tex]= \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}[/tex]
[tex]n= 75, 582[/tex]
For b Where N = 25 and r = 3
[tex]n = \left 25 } \atop {}} \right. C_3 = \frac{25 !}{(19 - 3 )! 3!}[/tex]
[tex]= \frac{25 *24 *23 *22 ! }{22 ! \ 3!}[/tex]
[tex]n= 2300[/tex]
For c Where N = 23 and r = 2
[tex]n = \left 23 } \atop {}} \right. C_2 = \frac{23 !}{(23 - 2 )! 2!}[/tex]
[tex]= \frac{23 *22 *21! }{21 ! \ 3!}[/tex]
[tex]n = 253[/tex]
According to Advertising Age, the average base salary for women working as copywriters in advertising firms is higher than the average base salary for men. The average base salary for women is $67,000 and the average base salary for men is $65,500 (Working Woman, July/August 2000). Assume salaries are normally distributed and that the standard deviation is $7000 for both men and women.
Required:
a. What is the probability of a woman receiving a salary in excess of $75,000 (to 4 decimals)?
b. What is the probability of a man receiving a salary in excess of $75,000 (to 4 decimals)?
c. What is the probability of a woman receiving a salary below $50,000 (to 4 decimals)?
d. How much would a woman have to make to have a higher salary than 99% of her male counterparts (0 decimals)?
Answer:
(a) The probability of a woman receiving a salary in excess of $75,000 is 0.1271.
(b) The probability of a man receiving a salary in excess of $75,000 is 0.0870.
(c) The probability of a woman receiving a salary below $50,000 is 0.9925.
(d) A woman would have to make a higher salary of $81,810 than 99% of her male counterparts.
Step-by-step explanation:
Let the random variable X represent the salary for women and Y represent the salary for men.
It is provided that:
[tex]X\sim N(67000, 7000^{2})\\\\Y\sim N(65500, 7000^{2})[/tex]
(a)
Compute the probability of a woman receiving a salary in excess of $75,000 as follows:
[tex]P(X>75000)=P(\frac{X-\mu_{x}}{\sigma_{x}}>\frac{75000-67000}{7000})[/tex]
[tex]=P(Z>1.14)\\\\=1-P(Z<1.14)\\\\=1-0.87286\\\\=0.12714\\\\\approx 0.1271[/tex]
Thus, the probability of a woman receiving a salary in excess of $75,000 is 0.1271.
(b)
Compute the probability of a man receiving a salary in excess of $75,000 as follows:
[tex]P(Y>75000)=P(\frac{Y-\mu_{y}}{\sigma_{y}}>\frac{75000-65500}{7000})[/tex]
[tex]=P(Z>1.36)\\\\=1-P(Z<1.36)\\\\=1-0.91309\\\\=0.08691\\\\\approx 0.0870[/tex]
Thus, the probability of a man receiving a salary in excess of $75,000 is 0.0870.
(c)
Compute the probability of a woman receiving a salary below $50,000 as follows:
[tex]P(X<50000)=P(\frac{X-\mu_{x}}{\sigma_{x}}<\frac{50000-67000}{7000})[/tex]
[tex]=P(Z>-2.43)\\\\=P(Z<2.43)\\\\=0.99245\\\\\approx 0.9925[/tex]
Thus, the probability of a woman receiving a salary below $50,000 is 0.9925.
(d)
Let a represent the salary a woman have to make to have a higher salary than 99% of her male counterparts.
Then,
[tex]P(Y\leq a)=0.99[/tex]
[tex]\Rightarrow P(Z<z)=0.99[/tex]
The z-score for this probability is:
z-score = 2.33
Compute the value of a as follows:
[tex]\frac{a-\mu_{y}}{\sigma_{y}}=2.33\\\\[/tex]
[tex]a=\mu_{y}+(2.33\times \sigma_{y})\\\\[/tex]
[tex]=65500+(2.33\times7000)\\\\=65500+16310\\\\=81810[/tex]
Thus, a woman would have to make a higher salary of $81,810 than 99% of her male counterparts.
The number of books sold over the course of the four-day book fair were 190, 100, 272, and 74. Assume that samples of size 2 are randomly selected with replacement from this population of four values. Identify the probability of each sample, and describe the sampling distribution of the sample means.
Answer:
the answer is below
Step-by-step explanation:
We have the total number of possible samples = 4 * 4 = 16 (As 4 choices for each value)
in addition we have to as all sample occur with equal probability, probability of each sample = 1/16, below is samling distribution of mean
x1 x2 probabilityP(x1,x2) sample mean
190 190 1/16 190
190 100 1/16 145
190 272 1/16 231
190 74 1/16 132
100 190 1/16 145
100 100 1/16 100
100 272 1/16 186
100 74 1/16 87
272 190 1/16 231
272 100 1/16 186
272 272 1/16 272
272 74 1/16 173
74 190 1/16 132
74 100 1/16 87
74 272 1/16 173
74 74 1/16 74
Summarizing above with adding duplicate values
sample mean probability
74 1/16
87 1/8
100 1/16
132 1/8
145 1/8
173 1/8
186 1/8
190 1/16
231 1/8
272 1/16
I don't know what to do.
Answer:
True.
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We can simply plug in the 3 variables to see if it forms a Pythagorean Triple:
6² + 13² = 14.32²
36 + 169 = 205.062
205 = 205 (rounded), so True.
Pls help me help me pls guys
Answer:
C
Step-by-step explanation:
[tex]-5x-49\geq 113[/tex]
[tex]-5x\geq 162[/tex]
[tex]x\leq -32.4[/tex]
(Multiplying or dividing by a negative flips the sign).
You wish to take out a $200,000 mortgage. The yearly interest rate on the loan is 4% compounded monthly, and the loan is for 30 years. Calculate the total interest paid on the mortgage. Give your answer in dollars to the nearest dollar. Do not include commas or the dollar sign in your answer.
Answer:
$143,739
Step-by-step explanation:
We must apply the formula for P0 and solve for d, that is,
P0=d(1−(1+rk)−Nk(rk).
We have P0=$200,000,r=0.04,k=12,N=30, so substituting in the numbers into the formula gives
$200,000=d(1−(1+0.0412)−30⋅12)(0.0412),
that is,
$200,000=209.4612d⟹d=$954.83.
So our monthly repayments are d=$954.83. To calculate the total interest paid, we find out the entire amount that's paid and subtract the principal. The total amount paid is
Total Paid=$954.83×12×30=$343,738.80
and therefore the total amount of interest paid is
Total Interest=$343,738.80−$200,000=$143,738.80,
which is $143,739 to the nearest dollar.
The interest paid is 2912683 dollars.
What is compound interest ?Compound interest is calculated for the principle taken as well as previous interest paid.
According to the given question Principle amount (P) taken from the bank is 2000000 dollars.
The yearly interest rate (r) compounded monthly is 4%.
Time in years (n) is 30.
We know, in the case of compound interest compounded yearly is
A = P(1 + r/100)ⁿ.
So, Amount compounded monthly will be
A = P[ 1 + (r/12)/100]¹²ⁿ.
A = 2000000[ 1 + (4/12)/100]¹²ˣ³⁰.
A = 2000000[ 1 + 0.003]³⁶⁰.
A = 2000000[ 1.003]³⁰⁰.
A = 2000000(2.456).
A = 4912583.
∴ The total interest paid on the mortgage is (4912683 - 2000000) = 2912683.
earn more about compound interest here :
https://brainly.com/question/14295570
#SPJ2
An appliance dealer sells three different models of upright freezers having 13.5, 15.9, and 19.1 cubic feet of storage. Let X = the amount of storage space purchased by the next customer to buy a freezer. Suppose that X has pmf:
Answer:
a) E(X) = 16.09 ft³
E(X²) = 262.22 ft⁶
Var(X) = 3.27 ft⁶
b) E(22X) = 354 dollars
c) Var(22X) = 1,581 dollars
d) E(X - 0.01X²) = 13.470 ft³
Step-by-step explanation:
The complete Correct Question is presented in the attached image to this solution.
a) Compute E(X), E(X2), and V(X).
The expected value of a probability distribution is given as
E(X) = Σxᵢpᵢ
xᵢ = Each variable in the distribution
pᵢ = Probability of each distribution
Σxᵢpᵢ = (13.5×0.20) + (15.9×0.59) + (19.1×0.21)
= 2.70 + 9.381 + 4.011
= 16.092 = 16.09 ft³
E(X²) = Σxᵢ²pᵢ
Σxᵢ²pᵢ = (13.5²×0.20) + (15.9²×0.59) + (19.1²×0.21)
= 36.45 + 149.1579 + 76.6101
= 262.218 = 262.22 ft⁶
Var(X) = Σxᵢ²pᵢ - μ²
where μ = E(X) = 16.092
Σxᵢ²pᵢ = E(X²) = 262.218
Var(X) = 262.218 - 16.092²
= 3.265536 = 3.27 ft⁶
b) E(22X) = 22E(X) = 22 × 16.092 = 354.024 = 354 dollars to the nearest whole number.
c) Var(22X) = 22² × Var(X) = 22² × 3.265536 = 1,580.519424 = 1,581 dollars
d) E(X - 0.01X²) = E(X) - 0.01E(X²)
= 16.092 - (0.01×262.218)
= 16.0926- 2.62218
= 13.46982 = 13.470 ft³
Hope this helps!!!
Using the graph below, select all statements that are true.
Answer:
b and E and c
Step-by-step explanation:
A is false because some elements have the same image like 2.3 and 2.2 , 2.5 ...B is true because the image of an integer remains the same using the greatest integer function. So C is true E is trueg When a customer places an online order with Amazon, a computerized accounting information system (AIS) automatically checks to see if the customer has exceeded his or her credit limit. Past records indicate that the probability of customers exceeding their credit limit is 0.05. On a given day, 20 customers place orders. Assume that the number of customers that the AIS detects as having exceeded their credit limit is distributed as a binomial random variable. What is the probability that at least two of the customers exceed their limit
Answer:
The probability that at least two of the customers exceed their limit is 0.2642.
Step-by-step explanation:
We are given that Past records indicate that the probability of customers exceeding their credit limit is 0.05.
On a given day, 20 customers place orders.
Let X = the number of customers who exceed their credit limit
The above situation can be represented through binomial distribution;
[tex]P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......[/tex]
where, n = number of trials (samples) taken = 20 customers
r = number of success = at least two
p = probability of success which in our question is the probability
of customers exceeding their credit limit, i.e; 0.05.
So, X ~ Binom(n = 20, p = 0.05)
Now, the probability that at least two of the customers exceed their limit is given by = P(X [tex]\geq[/tex] 2)
P(X [tex]\geq[/tex] 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)
= [tex]1- \binom{20}{0}\times 0.05^{0} \times (1-0.05)^{20-0}- \binom{20}{1}\times 0.05^{1} \times (1-0.05)^{20-1}[/tex]
= [tex]1- (1 \times 1 \times 0.95^{20})- (20 \times 0.05^{1} \times 0.95^{19})[/tex]
= 0.2642
How does a concave mirror form an image?
Answer:
in front of it
Can anyone please explain? Need some help :)
A regular hexagon is inscribed in a circle with a diameter of 12 units. Find the area of the hexagon. Round your answer to the nearest tenth. (there's no picture included)
Answer:
93.5 square units
Step-by-step explanation:
Diameter of the Circle = 12 Units
Therefore:
Radius of the Circle = 12/2 =6 Units
Since the hexagon is regular, it consists of 6 equilateral triangles of side length 6 units.
Area of the Hexagon = 6 X Area of one equilateral triangle
Area of an equilateral triangle of side length s = [tex]\dfrac{\sqrt{3} }{4}s^2[/tex]
Side Length, s=6 Units
[tex]\text{Therefore, the area of one equilateral triangle =}\dfrac{\sqrt{3} }{4}\times 6^2\\\\=9\sqrt{3} $ square units[/tex]
Area of the Hexagon
[tex]= 6 X 9\sqrt{3} \\=93.5$ square units (to the nearest tenth)[/tex]
A postal service will accept a package if its length plus its girth is not more than 96 inches. Find the dimensions and volume of the largest package with a square end that can be mailed.
Answer:
Dimension - 16in by 16in by 32inVolume - 8,192in³Step-by-step explanation:
Let the length and width of the rectangular package be x and y respectively. Since end of the package is a square, the perimeter of the package will be expressed as P = 4x+y and the volume will be expressed as V = x²y
If a postal service will accept a package if its length plus its girth is not more than 96 inches, then the perimeter is equivalent to 96 inches.
96 = 4x+y
y = 96-4x
Substituting the value of x into the formula for calculating the volume, we will have;
V(x) = x²(96-4x)
V(x) = 96x²-4x³
To get the dimensions and volume of the largest package, we will find V'(x) and equate it to zero.
V'(x) = 192x-12x²
192x-12x² = 0
Factoring out x;
x(192-12x) = 0
x = 0 and 192-12x = 0
12x = 192
x = 192/12
x = 16
This shows that we have a maximum value at x = 16 and minimum at x = 0
To get y, we will substitute x = 16 into the expression y = 96-4x
y = 96-4(16)
y = 96-64
y = 32
- The dimensions of the largest package is therefore 16in by 16in by 32in
- Volume of largest package = x²y = 16²*18 = 8,192in³
Solve for x and then find the measure of
Answer:
150°Step-by-step explanation:
<A and <B are alternate interior angles.
So, <A = <B
plugging the values
[tex]8x - 10 = 3x + 90[/tex]
Move variable to L.H.S and change it's sign.
Similarly, Move constant to R.H.S and change it's sign
[tex]8x - 3x = 90 + 10[/tex]
Collect like terms
[tex]5x = 90 + 10[/tex]
Calculate the sum
[tex]5x = 100[/tex]
Divide both sides of the equation by 5
[tex] \frac{5x}{5} = \frac{100}{5} [/tex]
Calculate
[tex]x = 20[/tex]
Now, Let's find the measure of <B
[tex] < b = 3x + 90[/tex]
Plugging the value of X
[tex] = 3 \times 20 + 90[/tex]
Calculate the product
[tex] = 60 + 90[/tex]
Calculate the sum
[tex] =150[/tex]
Hope this helps...
Best regards!!
What is the amount of oil for a sports car? 5 gallons, 5 quarts or 5 cups
Answer:
Option A.
Step-by-step explanation:
We need to find the amount of oil for a sports car.
We know that,
1 quart = 4 cups
1 gallon = 4 quarts = 16 cups
Since, quart and cup are small units and they are not sufficient for a sports car because sports car needs more oil, therefore the amount of oil for a sports car is 5 gallons.
Therefore, the correct option is A.
What is the surface area of this regular pyramid? A. 230 in2 B. 304 in2 C. 480 in2 D. 544 in2
Answer:
B: 304in^2
Step-by-step explanation:
One triangle face: (8)(15) ÷ 2 = 60
Four triangle faces: 60 x 4 = 240
Bottom Face: (8)(8) = 64
Total Surface Area: Four triangle faces + Bottom Face
Total Surface Area: 240 + 64
Total Surface Area: 304in^2
2(x + 25) HELPPPPP MEEEEE
Answer:
2x+50
Step-by-step explanation:
Distributive property: 2(x)+2(25)
Simplify: 2x+50
Answer: 2x + 50
Step-by-step explanation: In this problem, the 2 distributes through the parenthses, multiplying by each of the terms inside.
So we have 2(x) + 2(25) which simplifies to 2x + 50.
Type 11/5 in the simplest form
Answer:
[tex]2\frac{1}{5}[/tex]
Step-by-step explanation:
11 ÷ 5 = 2 R 1 → [tex]2\frac{1}{5}[/tex]
Hope this helps! :)