Answer:
x = 20
Step-by-step explanation:
x + 2x + 6x = 9x / 180
x=20
triangles = 180
angle 1 = ?
angle 2 = 160?
angle 3 = 20
Evaluate 8-m/n+p^2 when m=8,n=2,p=7
Answer:
\(0\)
Step-by-step explanation:
\( \frac{8 - m}{n + p {}^{2} } = \frac{8 - 8}{2 + 49} = \frac{0}{51} = 0\)
What two categories account for more than half of the federal budget and make it difficult for the government to change spending levels significantly
Answer: mandatory and discretionary.
x/y * 26 = 65
quick!!!
Step-by-step explanation:
x/y×26=65
26x/y/26=65/26
x/y=65÷26
x/y=2.5
Find the value of c ÷ 6 when c = 42.
Answer:
7
Step-by-step explanation:
42/6=7
Answer:
7.
Step-by-step explanation:
Two customers took out loans from a bank.
∙ Henry took out a 4-year loan for $5,000 and paid 4.2% annual simple interest. ∙ Ingrid took out a 6-year loan for $5,000 and paid 3.9% annual simple interest.
What is the difference between the amounts of interest Henry and Ingrid paid for their loans?
Answer: 330
Step-by-step explanation:
.
Joel borrowed $18,000 for 6 years at simple interest to purchase a vehicle. If Joel repaid a total of $20,953.80, at what rate did he borrow the money?
Enter the percent with the percent symbol. If the percent is not a whole value, enter it as a decimal where the last digit is not zero and there is a zero before the decimal point for values less than 1. For example, if the answer is .35%, 0.35% should be entered. Round the percent to the nearest thousandth of a percent if needed.
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20953.80\\ P=\textit{original amount deposited}\dotfill & \$18000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases} \\\\\\ 20953.80=18000[1+(\frac{r}{100})(6)]\implies \cfrac{20953.80}{18000}=1+\cfrac{6r}{100}\)
\(\cfrac{20953.80}{18000}=\cfrac{100+6r}{100}\implies \cfrac{2095380}{18000}=100+6r\implies \cfrac{11641}{100}=100+6r \\\\\\ \cfrac{11641}{100}-100=6r\implies \cfrac{1641}{100}=6r\implies \cfrac{1641}{600}=r \\\\\\ \cfrac{547}{200}=r\implies \stackrel{\%}{2.735} = r\)
A student is taking a multiple-choice test in which each question has four possible answers. She knows the answers to 5 of the questions, can narrow the choices to 2 in 3 cases, and does not know anything about 2 of the questions. What is the probability that she will correctly answer A) 10, b) 9, c) 8 d) 7, e) 6, and f) 5 questions?
Do not need to answer every part if they are worked the EXACT same way.
the probability that she will correctly answer
A) 10 questions = 0
b) 9 questions = 0.00003
c) 8 questions = 0.00039
d) 7 questions =0.00309
e) 6 questions = 0.01622
f) 5 questions = 0.0584
Here the total number of question is 5+3+2= 10, and every question has four possible answers, for this problem, we will be using the binomial distribution, the formula is :
\(C_{n,k}\)\(p^{k}\)\(q^{n-k}\) ,here C is the combination, p is the probability of success and q is the probability of having the success
for the given situation :
the p = 1/ 4 whereas, q=3/4
here n =10
now for different values of k which is the number of successes, we substitute the know values in the formula, and we get
P(k=10) = 0
P(k=9) = 0.00003
P(k=8) = 0.00039
(P=7)= 0.00309
(P=6)=0.01622
(P=5)= 0.0584
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write an explicit formula for a subscript n, the nth term of the sequence 8, 11, 14,...
please please help
The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
here,
The Sequences 8, 11, 14,...
first term a = 8
common difference = 11 - 8 = 3
Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3
Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
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To conduct a test of hypothesis with a small sample, we make an assumption that?
To conduct a test of hypothesis with a small sample, we make an assumption that the population is normally distributed .
What is normal distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
The normal distribution appears as a "bell curve" on a graph.
A probability bell curve is more properly described as the normal distribution.The mean and standard deviation of a normal distribution are 0 and 1, respectively. It has a kurtosis of 3 and zero skew.Not all symmetrical distributions are normal, but all normal distributions are symmetrical.Natural occurrences frequently resemble the usual distribution.To know more about normal distribution........
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The finance charge on Lauren’s credit card bill last month was
$13.50. Her APR is 18%. What was her average daily balance?
Answer:
$900
Step-by-step explanation:
You want to know Lauren's average daily balance if she was charged a $13.50 finance charge on a card with an APR of 18%.
Finance chargeThe finance charge is the product of the monthly interest rate and the average daily balance. The monthly rate is 1/12 of the annual rate. This tells us ...
finance charge = ADB × 18%/12
$13.50 = ADB × 0.015
ADB = $13.50/0.015 = $900
Lauren's average daily balance was $900.
<95141404393>
69468403075295555033768038758X78684821900000057636843904983756930
Answer:
5.4661089e+63
Step-by-step explanation:
Which of the following is NOT valid for proving that triangles are congruent? (A) AAA, (B) ASA (C) SAS, (D) HL
Answer:
A) AAA
Step-by-step explanation:
This proved similarity, but not necessarily congruency. If the angles are the same in a triangle, they could be smaller and larger versions of themselves. They will have the same shape, but not necessary the same size. The side lengths will be proportional. If the scale factor between the two triangles is 1 , then the triangles would be congruent, but they could have any scale factor greater or less than 1 too.
What are the measurements of an acute isosceles triangle?
An isosceles acute triangle is a triangle with at least two equal angles and three angles that are all less than 90 degrees. 50°, 50°, and 80° are three examples of the angles that make up an isosceles acute triangle.
Every triangle has 180 degrees. An isosceles triangle has one vertex angle and two congruent base angles. Thus the vertex angle is 38 and the base angle is 71 and their sum is 109.
The triangles 45/45/90 are always isosceles. This indicates that two of the triangle's legs are congruent. Which two sides of the figure are congruent is shown. The Pythagorean Theorem can be used to determine the hypotenuse's length from this point.
This is an isosceles right triangle. The other triangle is named a 30-60-90 triangle, where the angles in the triangle are 30 degrees, 60 degrees, and 90 degrees.
Therefore,
An isosceles acute triangle is a triangle with at least two equal angles and three angles that are all less than 90 degrees. 50°, 50°, and 80° are three examples of the angles that make up an isosceles acute triangle.
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7. Which type of function best models the data in the table? Use the differences or ratios:
X. Y
-1 2.5
0 5
1 10
2 20
3 40
The function best models the data in the table is y=2.5x+5.
From the given table, the coordinate points are (-1, 2.5) and (0, 5).
Here, slope (m) = (5-2.5)/(0+1)
m = 2.5
Substitute m=2.5 and (x, y)=(0, 5) in y=mx+c, we get
5=2.5(0)+c
c=5
So, the equation is y=2.5x+5
Therefore, the function best models the data in the table is y=2.5x+5.
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What is the surface area of a rectangular prism that has a length of 18 inches, a width of 1 foot, and a height of 14 inches?
252 in. 2
3,024 in. 2
1,272 in. 2
568 in. 2
Answer:
C
Step-by-step explanation:
Givens
L = 18 inches
W = 1 foot = 12 inches
H = 14 inches
Surface Area = 2 * L*w + 2*L * h + 2*w*h
Surface Area = 2 * 18*12 +2*18*14 + 2*12*14 all in linear inches
Surface Area = 432 + 504 + 336 all in square inches
Surface Area = 1272 in^2
A company sells widgets. The amount of profit y made by the company is related to the selling price of each widgets x by the given equation. Using this equation find out the maximum amount of profit the company can make to the nearest dollar. Y=-x^2+64x-292
Answer:
The maximum amount of profit is 32
Step-by-step explanation:
Given
\(y=-x^2+64x-292\)
Required
Determine the maximum profit
This is calculated by calculating the maximum of the function.
A quadratic function is of the form
\(y = ax^2 + bx + c\)
and its maximum is:
\(Max = \frac{-b}{2a}\)
So: \(y=-x^2+64x-292\)
We have that
\(a = -1\)
\(b = 64\)
\(c = -292\)
\(Max = \frac{-b}{2a}\)
\(Max = \frac{-64}{2 * -1}\)
\(Max = \frac{-64}{-2}\)
\(Max = 32\)
Hence, the maximum amount of profit is 32
Answer:
732
Step-by-step explanation:
Formula: -b/2a
-64/2(-1)
-64/-2= 32
Then you substitute x for your answer
-(32)^2+64(32)-292
-1024+2048-292= 732
You can also go on demos and type in the equation. The answer will be the Y value on the vertex (top of the parabola)
What is the value of x to the nearest tenth?A.25.7B.43.2C.88.8D.89.7
Two hot air balloons are traveling along the same path away from the town, beginning from different locations at the same time. Henry's balloon begins 25 miles from the town and is 37 miles from the town after 2 hours. The distance of Tasha's balloon from the town is represented by the function y= 7x + 15
Which ballon was farther from the town at the beginning, and which traveled more quickly?
A. Henry's balloon was farther from the town at the beginning, but Tasha's balloon traveled more quickly.
B. Henry's balloon was farther from the town at the beginning, and it traveled more quickly.
C. Tasha's ballon was farther from the town at the beginning, but Henry's balloon traveled more quickly.
D. Tasha's balloon was farther from the town at the beginning, but it traveled more quickly.
Please help!!
Answer:
A
Step-by-step explanation:
what is the reciprocal of 5/2
Answer:
2/5
Step-by-step explanation:
f(x) = 3x − 2, find ƒ(-5)
Answer:
-17
Step-by-step explanation:
PLUG IN THE VALUE -5 IN THE PLACE OF X IN THE EQUATION
\(f( - 5) = 3( - 5) - 2 \\ = - 15 - 2 \\ f( -5 )= - 17\)
ATTACHED IS THE SOLUTION
Let us suppose that some article investigated the probability of corrosion of steel reinforcement in concrete structures. It is estimated that the probability of corrosion is 0. 16 under specific values of half-cell potential and concrete resistivity. The risk of corrosion in five independent grids of a building with these values of half-cell potential and concrete resistivity. Let the random variable X denote number of grids with corrosion in this building.
Calculate the mean and variance for the random variable X
The mean for the random variable X is 0.8 and The variance for the random variable X is 0.672.
In this case, we have a binomial distribution with n=5 trials and a success probability of p=0.16 for each trial (the probability of corrosion).
The following formula gives the mean or expected value of the binomial distribution:
μ = np
Putting the given values, we get:
μ = 5 × 0.16 = 0.8
Therefore, the mean for the random variable X is 0.8.
The variance of the binomial distribution is given by the formula:
\(\sigma^2\) = np(1-p)
Putting the given values, we get:
\(\sigma^2\) = 5 × 0.16 × (1-0.16) = 0.672
Hence, the variance for the random variable X is 0.672.
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HELP WHAT IS THE VALUE OF TAN A
Answer: 4 / 3
Step-by-step explanation:
Soh Cah Toa
In this case, we'll use Toa
Tangent = Opposite / Adjacent
Tan A = 40 (opposite) / 30 (adjacent)
Tan A = 40 / 30 = 4 / 3 (simplified)
How do u solve this and what are the answers
Answer:
7) 7<x<17
8 2.1<x<4.1
9) 0<x<54
10) 7.9<x<35.9
Step-by-step explanation:
you solve by finding the smallest side lengrh which will be the longer length- the shorter, as if the triangle were extremely tiny and all the sides were touching but the third would only be able to be as short as the difference, then for the maximum length as if the triangle were stretches out as much as possible, you add together the lengths because that's the furthest the third could stretch out, remember they will always be less then or greater then, never equal too as well, they can't reach that length other wise it would just be a line
The question is in the screenshot:
sin(30°) = ½
Sin(30°) have the value of √1/2 which gives ½
6. Mr. Lee ordered 45 points of milk for the fourth - grade party. There are 96 fourth graders and each is supposed to get 1 cup of milk.
a. Did Mr. Lee order the correct amount of milk?
b. if so, explain why you think he is correct. if not, how many pints of milk should he have ordered? ------------
7. Daphne and Jordan made jam to sell at the market. Their jam is sold in pint - size jars. They made 137 quarts but only sold 59 quarts. How many pint - size jars are left? --------
8. james had a 3-quart water bottle. Eileen bought 1-gallon jug. whose container holds more cups? ------ How many more? ------- cups
please, please help, will give brainliest if correct. by the way this is 4th grade math.
Answer:
6. (a) No Mr Lee did not order the correct amount of milk.
(b)Mr Lee should have ordered for 48 pints of milk.
7. 156 pints sized jars
8. Eilleen's gallon can hold more cups that James's 3 quart water bottle.It can hold 4 more cups
Step-by-step explanation:
6. There are 96 fourth graders and each is supposed to get 1 cup of milk.
Hence, the number of cups of milk for all the fourth graders at the party is
96 × 1 cup of milk = 96 cups of milk.
Mr. Lee ordered 45 pints of milk for the fourth - grade party.
We have the conversion rate:
1 cup = 0.5 pints
Hence
1 cup = 0.5 pints
96 cups of milk = x
Cross Multiply
1 cup × x = 96 cups of milk × 0.5 pints
x = 96 cups of milk × 0.5 pints/1 cup
x = 48 cups of milk
a. Did Mr. Lee order the correct amount of milk?
No Mr Lee did not order the correct amount of milk.
b. if so, explain why you think he is correct. if not, how many pints of milk should he have ordered?
Mr Lee should have ordered for 48 pints of milk.
7. Daphne and Jordan made jam to sell at the market. Their jam is sold in pint - size jars.
They made 137 quarts but only sold 59 quarts.
The amount of quarts left is calculated as: 137 quarts - 59 quarts
= 78 quarts
We have conversion rate of
1 quart = 2 pints
The number of pint - size jars that are left is calculated as:
1 quart = 2 pints
78 quarts = x
Cross Multiply
1 quart × x = 78 quarts × 2 pints
x = 78 quarts × 2 pints/1 quart
x = 156 pints
The number of pint - size jars that are left 156 pints
8.
For James
James had a 3-quart water bottle.
1 quart = 4 cups
3 quarts = x
Cross Multiply
1 quart × x = 3 quarts × 4 cups
x = 3 quarts × 4 cups/1 quart
x = 12 cups
Hence, James 3 quart water bottle can hold 12 cups
For Eileen
Eileen bought 1-gallon jug.
1 gallon = 16 cups
Hence, Eileen's gallon can hold 16 cups
The difference between both containers is:
16 cups - 12 cups = 4 cups
Therefore, Eileen's gallon can hold more cups that James's 3 quart water bottle
It can hold 4 more cups
Which of the following equations is equivalent to 6(3p – 2) = 20?
18p – 2 = 20
18p – 12 = 20
9p – 8 = 20
9p – 4 = 20
Answer:
18p - 12 = 20
Step-by-step explanation:
=> 6(3p – 2) = 20
=> 6x3p – 6x2 = 20
=> 18p - 12 = 20
Answer:
18p -12 = 20
Step-by-step explanation:
6(3p – 2) = 20
Distribute
6*3p - 6*2 =20
18p -12 = 20
Help me please asap!!
Answer:
67
Step-by-step explanation:
180 - (53 + 60) = 67
What is $1.52 in cents?
Answer:
152 cents
hope this helps
have a good day :)
Step-by-step explanation:
100 cents make a dollar. $1.52 would equal 152 cents.
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Leah keeps ducks and buffalo in their farm and there are 35 animals with a total if 90 legs. How many ducks and buffalo are there?
Helpp pleaseee