Sue has taken four exams so far in her History course. Her scores are 84.0, 78.2, 93, and 87.5. What is the average of these scores?
Answer: 85.7
Step-by-step explanation:
The set of all numbers greater than 2
When you calculate (In) 7, you would be finding the
value of which of the following expressions?
O log10 7
O log, 10
O log, e
O log 7
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
what is logarithm?In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).
When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).
As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
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clara weighed six pieces of chicken on the scales.if each piece weighed 0.8kg, how much did all the chicken weigh together?
Answer:
The answer is 4.8 kg. Just do 6 x 0.8
What are the three angle measures in the triangle shown below
Can someone help me with this question?
Answer:
2/6 or 1/3
Step-by-step explanation:
To find probability, we have to look at the favorable outcome (the outcome we're looking for - in this case, rolling greater than a 4) divided by the total outcomes (the total possible outcomes - in this case, 6).
There are 6 sides on a dice, as laid out in the question. How many numbers on a dice are greater than 4? Well, 5 and 6, of course. These are only two sides of the dice, so our probability would be 2/6, or simplified, 1/3, and that's our answer.
If you'd like a more in-depth explanation, please let me know and I'd be happy to help. :)
Yuhhhhhhhhhhhhhhhh I need help
Answer:
JUST DO 3.142 X 10
ANSWER: 31.42 IN
Step-by-step explanation:
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
How is adding 21.39 + 21.59 like adding 2139 + 2159?
Answer:
It would be the same numbers just without a decimal.
Step-by-step explanation:
21.39 + 21.59=42.89
2139 + 2159=4289
You just have to figure out where the decimal will go.
Nanuk has a savings account which
gathers compound interest each year.
He opened the account with a deposit of
£2000.
After 4 years there is £2545.10 in the
account.
Work out the annual interest rate of the
savings account.
Give your answer as a percentage to 1
dp
The rate of interest compounded annually is 6.4 %.
What is compound interest?Compound interest is the interest we earn on both principle and interest.
Nanuk in his savings account had 2000 euros which became 2545.10 in 4 years compounded annually.
Here, Amount(A) = 2545.10, Principle(P) = 2000, Time in years(n) = 4 and we have determine the rate of interest which is r.
We know, For compound interest A = P( 1 + r/100)ⁿ which is,
\((\frac{A}{P})^\frac{1}{n}\) \(= ( 1 + \frac{r}{100})\).
\((\frac{A}{P})^\frac{1}{n} - 1 = \frac{r}{100}\).
\((\frac{2545.1}{2000})^\frac{1}{4} - 1 = \frac{r}{100}\).
\((1.28)^\frac{1}{4} - 1 = \frac{r}{100}\).
\(1.064 - 1 = \frac{r}{100}\).
\(0.064 = \frac{r}{100}\).
\(r = 6.4\).
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A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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PLEASE HELP ASAP?!!!!!!
Answer:
It is 15!
Step-by-step explanation:
Therefore the answer is x=15 :)
If
R
=
{
x
|
x
>
0
}
and
S
=
{
x
|
x
<
3
}
, what is the number of integers in
R
∩
S
?
A. Zero
B. Two
C. Three
D. Four
As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.
In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.
The intersection of two sets contains only the elements that are present in both sets. In this case,
R ∩ S = {x | x > 0 and x < 3}
The integers that are present in this set are 1 and 2.
Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
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5 cm
6 cm
13 cm
Help me find the area of this please
The area should be 47.5 CM.
Answer:
Step-by-step explanation:
The figure you see here is a trapezoid.
Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm
A bond is worth $100 and grows in value by 4 percent each year. Assuming this bond compounds quarterly, what is the value of the bond after 5 years?
Responses
$121.67
$122.02
$122.67
$120.00
Answer:it will be D
Step-by-step explanation: because $100 + 4%=$100.4
Find the surface area
of the figure below:
19 cm
30 cm.
The surface area of the figure is approximately 997.5π cm².
We have,
The figure has two shapes:
Cone and a semicircle
Now,
The surface area of a cone:
= πr (r + l)
where r is the radius of the base and l is the slant height.
Given that
r = 15 cm and l = 19 cm, we can substitute these values into the formula:
= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)
The surface area of a semicircle:
= (πr²) / 2
Given that r = 15 cm, we can substitute this value into the formula:
= (π(15)²) / 2
= 112.5π cm² (rounded to one decimal place)
The surface area of the figure:
To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:
Now,
Total surface area
= 885π + 112.5π
= 997.5π cm² (rounded to one decimal place)
Therefore,
The surface area of the figure is approximately 997.5π cm².
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Which graph represents the given equation? A. A parabola declines through (negative 1, 4), (negative 1, 3), (0, 2) and (1 point 5, negative 4 point 5) and rises through (2, negative 4), (3, 0) and (4, 6) on the x y coordinate plane. B. A parabola declines through (negative 4, 5), (negative 3 point 5, 2), (negative 3, 0) and (negative 1 point 5, negative 4 point 5) and rises through (0, negative 2), (1, 3) and (1, 4) on the x y coordinate plane. C. A parabola declines through (negative 2 point 3, 5), (negative 2, 2) and (negative 0 point 5, negative 3 point 1) and rises through (0, negative 2), (1, 4) and (1, 5) on the x y coordinate plane. D. A parabola declines through (negative 1, 5), (negative 0 point 5, 2), (0, negative 2) and (0 point 5, negative 3 point 1) and increases through (2, 2), (2 point 5, 5) on the x y coordinate plane.
The graph of the quadratic function y = 1.5x² + 4x - 2 is given by the image shown at the end of the answer.
How to obtain the graph of a quadratic function?To obtain the graph of a quadratic function, these three features have to be obtained from the function's definition:
The x-intercepts, which are the roots of the function.The y-intercept, which is the value of y when the function crosses the y-axis.The vertex, which is the turning point of the function.The function for this problem is defined as follows:
y = 1.5x² + 4x - 2.
Hence the numeric values of the coefficients are listed as follows:
a = 1.5, b = 4, c = -2.
Inserting these coefficients into a calculator, the x-intercepts of the function are given as follows:
x = -3.09 -> hence the function passes through point (-3.09, 0).x = 0.43 -> hence the function passes through point (0.43, 0).The y-intercept of the function is given by coefficient c = -2, hence the function also passes through point (0, -2).
The x-coordinate of the vertex is given as follows:
x = -b/2a = -4/3 = -1.33.
Hence the y-coordinate of the vertex is of:
y = 1.5(-1.33)² + 4(-1.33) - 2 = -4.67.
Missing InformationThe problem asks for the graph of the following function:
y = 1.5x² + 4x - 2.
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Suppose that IQ scores have a bell-shaped distribution with a mean of 97 and a standard deviation of 17. Using the empirical rule, what percentage of IQ scores are between 46 and 148
Answer:
99.7% of IQ scores are between 46 and 148.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 97, standard deviation of 17.
What percentage of IQ scores are between 46 and 148?
97 - 3*17 = 46
97 + 3*17 = 148
Within 3 standard deviations of the mean, so:
99.7% of IQ scores are between 46 and 148.
What is the probability that a customer ordered a cold drink given that he or she ordered a large?
Answer:
19
Step-by-step explanation:
The probability that a customer ordered a cold drink given that he or she ordered a large is 32%.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
P(Small | Cold) = n(Small and Cold)/n(Cold)
From the table:
P(Small | Cold) = 8/(8 + 12 + 5)
P(Small | Cold) = 0.32
or
P(Small | Cold) = 32%
Thus, the probability that a customer ordered a cold drink given that he or she ordered a large is 32%.
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Given that cosθ=817 and sinθ=−1517 . What is the value of tanθ?
Answer:
tan∅ = -1517/817
Step-by-step explanation:
tan∅ = sin∅/cos∅
Answer:
Step-by-step explanation:
²³√∛·×÷±≈≠≤≥βα∞∨∧∉∈⇔,⇒≅≡ΔπФω↑↓∵∴↔→←⇵∀⊅⊄⊇⊆⊃⊂∑∫⇆⇄⇅°∠∡⊥∪∩∅¬⊕║∦∝㏑㏒∞
What do all of these symbols stand for?
Answer:
Mathematical symbols used for different calculations?
Two families attended a baseball game. The first family bought 5 bags of popcorn and 6 souvenir cups, which totaled $65. The second family bought 10 bags of popcorn and 4 souvenir cups, which totaled $90. How much did one bag of popcorn cost?
$4
$5
$6
$7
One bag of popcorn costs $7.
The question asks for the cost of one bag of popcorn based on the given information. Let's solve this step by step:
1. We are given that the first family bought 5 bags of popcorn and 6 souvenir cups for a total of $65.
2. The second family bought 10 bags of popcorn and 4 souvenir cups for a total of $90.
To find the cost of one bag of popcorn, we can set up a system of equations:
Let's say the cost of one bag of popcorn is x dollars and the cost of one souvenir cup is y dollars.
From the first family's purchase:
5x + 6y = 65
From the second family's purchase:
10x + 4y = 90
To solve this system of equations, we can use the method of substitution or elimination.
Let's use the method of elimination:
Multiply the first equation by 2 and the second equation by 3 to make the coefficients of x equal:
10x + 12y = 130
30x + 12y = 270
Now, subtract the second equation from the first equation:
(10x + 12y) - (30x + 12y) = 130 - 270
-20x = -140
x = -140 / -20
x = 7
Please let me know if you need further assistance!
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Solve the following differential equations:
The general solution to the differential equation based on the information is y(x) = (1/2) x^4 e^(-3x) + C e^(-3x)
How to explain the equationBased on the information, dy/dx + 3y = 2x³ e^(-3x)
The integrating factor is e^(∫3 dx) = e^(3x),
e^(3x) dy/dx + 3e^(3x) y = 2x^3 e^(3x - 3x)
d/dx (e^(3x) y) = 2x^3
e^(3x) y = ∫2x^3 dx = (1/2)x^4 + C
C is an arbitrary constant of integration.
y = (1/2) x^4 e^(-3x) + C e^(-3x)
The equation will be y(x) = (1/2) x^4 e^(-3x) + C e^(-3x)
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A total of $48,000 is invested in two municipal bonds that pay 4.25% and 5.75% simple interest. The investor wants an annual interest income of $2400 from the investments. What amount should be invested in the 4.25% bond
Find the product and simplify completely. 1 5/8 2 /3/5 MH Enter the number that goes in the green box. Enter
The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.
To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.
We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.
Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$
To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$
Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.
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which of the sentences are true? 77.28 is less than 77.25, 32.641 is greater than 32.645, 67.492 is greater than 67.692, or 91.631 is less than 91.681?
Answer:
1- true
2- false
3- false
4- true
Answer:
91.631 is less than 91.681
Step-by-step explanation:
approximately:
91.631= 91.6
91.681= 91.7
3). The ages of ten students randomly chosen from HND Secretryship and Management evening
session class are as follows: 19, 26, 27, 17, 38, 26, 25, 20, 33, 19.
i.
ii.
Compute the average age
The standard deviation of the ages.
The probability that a student who attends the first session also attends the second session is 1/3
Evaluating the probability
We can approach this problem by using conditional probability.
Let's use the notation "S1" to represent the event that a student attends the first session, and "S2" to represent the event that a student attends the second session.
Then we can use the formula for conditional probability:
P(S2 | S1) = P(S1 and S2) / P(S1)
We know that P(S1) = 0.6, since 60% of students attend the first session. We also know that P(S1 and S2) = 0.2, since 20% of students attend both sessions.
So we can plug in these values and solve for P(S2 | S1):
P(S2 | S1) = 0.2 / 0.6
P(S2 | S1) = 1/3
Therefore, the probability that a student who attends is 1/3 or approximately 0.333.
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complete question:
In a cooking class 20% of
the students attend two
sessions. 60% of students
attend the first session of
cooking class. What is the
probability that a student that
attends the first session also
attends the second session?
Solve for b
-3(6b + 4) = 2(-5b+10)
b=
Answer:
b = -4
Step-by-step explanation:
-3(6b + 4) = 2(-5b + 10)
-18b - 12 = -10b + 20
(-18b + 10b) - 12 = (-10b + 10b) + 20
-8b - 12 = 20
-8b (- 12 + 12) = 20 + 12
-8b = 32
-8b/-8 = 32/-8
b = -4
Answer:
x
Step-by-step explanation:
Can you help me here is the inage
Answer:
150x=y
Step-by-step explanation:
2x150=300
4x150=600
6x150=900
8x150=1200
The circle graph shows the result of a survey. In what way is this graph misleading? Explain.
Step-by-step explanation:
because the total sum of each percent is 90%
and it must be 100% as it is a full circle
blank + 3.7 = 1
what is the blank
Answer:
-2.7
Step-by-step explanation:
really dude