Write this number in standard notation.
4.702 x 10
Answers
Answer:
47.02
Step-by-step explanation:
Since the exponent of the scientific notation is positive, move the decimal point 1 places to the right.
47.02
Answer:
0.0004702
Step-by-step explanation:
Related Questions
18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B
Answers
Step-by-step explanation:
tan0=opp/adj
where opposite =3,adjacent =x,=70
tan 70=3/x
2.7474=3/x
2.7474x=3
divide both sides by 2.7474
x=3/2.7474
x=1.0919
x=1.10 to 1 d.p
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
co
5
H
The mapping diagram above|
Set B
✓in
-2
3
O
7
શ function since
where there
Answers
Answer:
It is not a function
Step-by-step explanation:
A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.
Here, element "1" has two images 3 and 7. Therefore it's not a function.
The table below shows how much Joe earns, y, after working x hours. Joe’s Earnings Hours worked Money earned 4 $30 10 $75 12 $90 22 $165 The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
Answers
Answer:
c
Step-by-step explanation:
100% on edge
evaluate cos(sin^-1 x0)
Answers
Answer:
Pull terms out from under the radical, assuming positive real numbers.
0
Step-by-step explanation:
What is the distance from (3 1/2, 5) to (3) 1/2 -12)?
Answers
Answer:
These 2 points on a graph are 17 units apart.
Step-by-step explanation:
Y Coordinate is the same for both points, all you need to know is the change in X coordinates.
Mark what answer it is
Answers
2/29
the i is imaginary
A graphing calculator is recommended.
Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 10%, test the hypothesis that the three formulas produce the same mean weight gain. (Let 1 = Linda's rats, 2 = Tuan's rats and 3 = Javier's rats.)
Weights of Student Lab Rats
Linda's rats Tuan's rats Javier's rats
46.3 49.8 53.3
42.3 42.7 43.1
44.1 41.8 40.2
48.7 48.9 47.7
40.8 46.5 51.5Enter an exact number as an integer, fraction, or decimal.
df(num) =
Enter an exact number as an integer, fraction, or decimal.
df(denom) =
State the distribution to use for the test.
A. F2, 12
B. F12, 2
C. F14, 2
D. F14, 12
E. F2, 14
What is the test statistic? (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)
Explain what the p-value means for this problem.
A. If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.
B. If H0 is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.
C. If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.
D. If H0 is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.
Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write appropriate conclusions.
(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =
(ii) Decision:
reject the null hypothesisdo not reject the null hypothesis
(iii) Reason for decision:
Since α < p-value, we do not reject the null hypothesis.
Since α > p-value, we reject the null hypothesis.
Since α < p-value, we reject the null hypothesis.
Since α > p-value, we do not reject the null hypothesis.
(iv) Conclusion:
There is sufficient evidence to conclude that there is a difference among the different nutritional formulas for rats with respect to weight gain.
There is not sufficient evidence to conclude that there is a difference among the different nutritional formulas for rats with respect to weight gain.
Answers
The graph representation of the given distribution is attached below.
The term graph in math refers the visual representation of the collection of data that has the x and y coordinate values.
Here we have given that Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams and we need to find the graphical representation of the distribution.
Here by using the values in the foregoing ANOVA table are quickly produced by the calculator, including the test statistic and the p-value of the test calculator shows :
=> F=0.66853555
=> p = 0.530548
And the FACTOR df =2 and SS=23.212
=> MS = 11.606
Here the ERROR df = 12
=> SS=208.324
=> MS = 17.36
Here by using the f distribution for the test of three different means.
Then the value of the test statistic (F-value) is 0.668 and the p -value for the test is 0.5301
When we plot the graph for the distribution then we get he graph like the following.
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Draw two identical rectangle 1 into 5 equal parts the other rectangle into 8 equal parts labeled a unit fraction and shade one equal part in each rectangle use your rectangle to explain why 1/5 is bigger than 1/8
Answers
Answer:
1/5 is bigger than 1/8
Step-by-step explanation:
First put them as decimals
1/5 = 0.2
1/8 = 0.125
0.2 > 0.125
Find the value of x. DO NOT POST ANY FILES.
Answers
Answer:
9
Step-by-step explanation:
12^2+x^2=(x+6)^2
144+x^2=x^2+12x+36
12x=108
x=9
If the length and width of a rectangle are
each halved, by what percent is the area decreased?
30 POINTS!
Answers
Answer:
75%
Step-by-step explanation:
Let us being by constructing a rectangle. The length is x, and the width is y. The area is xy units squared.
Now, let's divide that by two. X is now x/2, and y is now y/2. The area is now xy/4.
We have xy as the original area, and xy/4 as the new area. The /4 indicates that the new rectangle is a fourth of what it was before, meaning it is only 25 percent as much.
Therefore, it had decreased 75perdent
What is 4 & 1/2+1/8? *
Answers
Answer:
4 5/8
Step-by-step explanation:
Rewriting our equation with parts separated
=4+12+18
Solving the fraction parts
12+18=?
Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.
LCD = 8
48+18=58
Combining the whole and fraction parts
4+58=458
The U.S. Bureau of Labor Statistics is a government agency that collects information about jobs in the U.S. In 2014, the Bureau reported that police officers had a median yearly salary of $52,936.
Calculate the average hourly wage for police officers. Round to the nearest cent. Assume that police officers generally work 40 hours a week. There are 52 weeks in the year.
Answer = $ per hour
Answers
Answer:25.45
Step-by-step explanation:
52936/1 year x 1 year/52 weeks x 1 week/40hours
I need help finding the angle of measure angle 1 m<2 and m<3 “M<1” angle measure
Answers
Given:
Given that a figure.
Required:
To find the
\(\begin{gathered} \angle1 \\ \angle2 \\ \angle3 \end{gathered}\)Explanation:
Now consider the first triangle in the given figure.
We know that the total angle sum in triangle is 180 degree.
Consider the unknown angle in triangle as x.
Consider the unknown anlge in t
Therefore,
\(\begin{gathered} 70\degree+55\degree+x=180\degree \\ 125\degree+x=180\degree \\ x=180\degree-125\degree \\ x=55\degree \end{gathered}\)The angle of straight line is 180.
Therefore
Lena won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 7 rings, 1 camera, and 1 headset.
(a) Find the odd against Lena winning a headset.
(b) Find the odds in favor of Lena winning a headset
Answers
Answer:
(b) Find the odds in favor of Lena winning a headset
Step-by-step explanation:
Please help if u get these all right i will mark brainliest
Answers
1.
5x+2+3x
8x+2
2.
3+17x+8
11+17x
3.
19+6x+2x
19+8x
4.
4x+5^2+5x+10^2
4x+25+5x+100
9x+125
5.
5x+18+13y+12x+8y
17x+18+21y
It wasn’t specified in regard to how, it should be solved. So I just simplified them all.
find the slope of the line that passes through the points (1,4) and (5,9). Simplify your answer completely, if possible.
Answers
Answer:
\(\displaystyle m=\frac{5}{4}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (1, 4)
Point (5, 9)
Step 2: Identify
(1, 4) → x₁ = 1, y₁ = 4
(5, 9) → x₂ = 5, y₂ = 9
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: \(\displaystyle m=\frac{9-4}{5-1}\)[Slope] Subtract: \(\displaystyle m=\frac{5}{4}\)Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
your answer is 46
Step-by-step explanation:
i did maths lol
mark me brainliest
Write an equation in standard form for the line that passes through the given points.
(2, 7) and (−5, 2)
nothing but the answer and explanation
Answers
Answer:
7y = 5x + 39
Step-by-step explanation:
x1 = 2, y1 = 7, x2 = –5, y2 = 2
m = y2 – y1 / x2 – x1
m = 2 – 7/ –5 – 2
m = –5 / –7
m = 5/7
(2,7)
y – y1 = m(x – x1)
y – 7 = 5/7(x – 2)
y – 7 = 5x/7 – 10/7
multiply both sides by 7
7y – 49 = 5x – 10
7y = 5x – 10 + 49
7y = 5x + 39
pls rate as brainliest if i deserve it
What combination of transformations is shown below
Answers
Answer:
rotation ,then reflection
HELP ME OUT PLS!!!!
The graph shows the distance traveled by 4 runners and the time it took for their race. Which colored line on the graph represents the slowest runner?
blue
yellow
green
red
Answers
Answer:
the awnser would be blue because it has the longest time it took to run the same amount of distance as the other players
The Blue color line shows the slowest runner.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
Given:
We have the Four lines in the Graph.
Now, the slowest runner will be shown by that line which takes most of the time and covered little distance or which has higher slope.
and, the Fastest runner will be shown by that line which takes least of the time and covered large distance or which has lower slope.
Here in Graph Blue line has Higher slope which shows the slowest Runner and Red line has lower slope which shows the fastest Runner.
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Patrick biked 27 miles last week. He biked 9 miles more than Ibrain. The equation m + 9 = 27 gives the number of miles m that Ibrain biked last week. Which is the solution of the equation?
Answers
Answer:
Step-by-step explanation:
We can solve the equation m + 9 = 27 by subtracting 9 from both sides to isolate m:
m + 9 - 9 = 27 - 9
m = 18
Therefore, Ibrain biked 18 miles last week.
Q1 - Similar shapes and area
Work out the missing area in each pair of similar shapes.
Answers
The answer for the first shape would be 24cm^2.
The answer for the second shape would be 20cm^2.
The answer for the third shape would be 30cm^2. "30".
What are Shapes?
A shape in geometry can be characterized as an object's form, outline, outer border, or outer surface.
Every object we notice in the world has a form. The objects we see around us may be broken down into several fundamental forms, such as the two-dimensional square, rectangle, and oval, or the three-dimensional rectangular prism, cylinder, and sphere few types of Shape.Shapes establish an object's perimeter and may be distinguished in a variety of ways depending on their characteristics. In a Shape a border that is created by merging the curves, points, and line segments surrounds these forms. The name of each form depends on the structure. Circle, square, rectangle, triangle, and other simple forms are few types of Shape.The first shape seems to be scaling up. From 3cm to 12cm. So for this you need to multiply. Using the formula that I gave you last time.
3cm times ___ = 12cm. 4 fits in there,
therefore 6cm^2 times 4 = 24cm^2.
The answer for the first one would be 24cm^2. "24" in the blank.
The second shape seems to be scaling down. From 16cm to 8cm. So for this you need to divide.
16cm divided by ___ = 8cm. 2 fits in there,
therefore 40cm^2 divided 2 = 20cm^2.
The answer for the second one would be 20cm^2. "20" in the blank.
The third shape seems to be scaling up.
From 3cm to 4.5cm.
So for this you need to multiply. 3cm times ___ = 4.5cm.
Now since we're dealing with decimals, not whole numbers this time you can't really use guess and check as efficiently. So you do the opposite operation, which in this case the opposite of multiplication is division.
You take 3cm (the original shape's number) and divide it into 4.5cm. So 4.5cm divided by 3cm = 1.5. 1.5 fits in there,
therefore 20cm^2 times 1.5 = 30cm^2.
The answer for the third one would be 30cm^2. "30" in the blank.
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Im giving brainliest to someone who can answer this question properly.
Answers
Answer: A
Step-by-step explanation: rotation because it rotated when it went to the other quadrant and it also was reflection
Suppose you take out a 45-year $150,000 mortgage with an APR of 6%. You make payments for 3 years (36 monthly payments) and then consider refinancing the original loan. The new loan would
have a term of 15 years, have an APR of 5.1%, and be in the amount of the unpaid balance on the original loan. (The amount you borrow on the new loan would be used to pay off the balance on the
original loan.) The administrative cost of taking out the second loan would be $1900. Use the information to complete parts (a) through (e) below.
a. What are the monthly payments on the original loan?
(Bound to the nearest cent as needed.)
Answers
The monthly payments on the original loan are $899.33.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To find the monthly payments on the original loan, we can use the formula for the monthly payment of an amortized loan:
M = P (r/12)(1 + r/12)ⁿ/ ((1 + r/12)ⁿ - 1)
where M is monthly payment, P is principal, r is monthly interest rate, n is total number of payments
For the original loan, P = $150,000, r = 0.06/12 = 0.005, and n = 45 years x 12 months/year = 540 months.
Substituting these values into the formula, we get:
M = 150,000(0.005)(1 + 0.005)⁵⁴⁰ / ((1 + 0.005)⁵⁴⁰- 1)
= 899.33
Therefore, the monthly payments on the original loan are $899.33.
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find the probability that a randomly selected point within the circle falls in the red shaded area 106
Answers
Answer:
0.29
Step-by-step explanation:
Knowing that the shaded angle is 106 degrees, and a circle's angle total is 360 degrees, we will know what fraction of the circle is shaded by dividing the shaded region's angle by the angle of an entire circle:
106/360 = 0.29
The fraction of the circle that is shaded is also the probability that a randomly selected point within the circle falls in the shaded region since we just divided the desired outcome by all of the possible outcomes.
A football field has the shape of a rectangle with dimensions of 300 feet long and 160 feet wide. If a fan was to run diagonally from one end zone to the opposite end zone, how far would she run to the nearest foot? Enter only the number.
Answers
Explanation:
In order to find the length of the diagonal of a rectangle you need to cut the rectangle in diagonal then you have 2 right triangle:
We can take one right triangle to work with:
We can use Pythagorean’s theorem to find the hypotenuse of the right triangle (also the diagonal of the rectangle):
a^2 + b^2 = c^2
300^2 + 160^2 = c^2
90000 + 25600 = c^2
115600 = c^2
Sqrt 115600 = c
340 = c
Where c is the hypotenuse of the right triangle and also the diagonal of the rectangle
Answer:
340 feet
Step-by-step explanation:
we use Pythagora
d² = l² + w²
d = √300ft)² + 160ft)²
= √90000ft² + 25600ft²
= √115600ft²
= √(2⁴ₓ5²ₓ17²)ft²
= √(2²ₓ5ₓ17)ftₓ(2²ₓ5ₓ17)ft
= √340ftₓ340ft
= 340 feet
Natalie is selling fruit at the Saturday market. She has a
otal of 48 pears that she wants to sell. She makes bags of
pears and sells them for $5 per bag. In which equation
oes b represent the number of bags of pears?
Answers
If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:
b = total_number_of_pears / pears_per_bag
In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.
Given that Natalie has a total of 48 pears, we can substitute the value into the equation:
b = 48 / pears_per_bag
Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.
Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:
b = 48 / 4
Simplifying the equation gives:
b = 12
So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.
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10 points
The range is the difference between the greatest and least number in a
data set. What is the range of the given data set? Data Set: 33, 18, 15. 35.18*
Answers
Answer:
20.18
Step-by-step explanation:
Greatest number= 35.18
Least number=15
Difference between the twain=20.18
Answer:
The range is 2.18.
Step-by-step explanation:
35.18 - 33 = 2.18
To find the distance AB across a river, a distance BC=290 is laid off on one side of the river. It is found that B=117degrees and C=24degrees. Find AB.
Answers
The value of distance AB is 187.5 units
What is sine rule?Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.
sine rule can be expressed as;
a/sinA = b/sinB = c/sinC
The opposite side to angle A is BC
the opposite side to angle C is AB
therefore;
A = 180-( 117 +24)
A = 180- 141
A = 39°
290/sin 39 = x/ sin24
xsin39 = 290 × sin24
0.629x = 117.95
x = 117.95/0.629
x = 187.5
therefore the distance AB is 187.5
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The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Answers
Answer:
The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:
standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7
To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:
z = (37.4 - 40) / (8 / 7) = -1.225
Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.
give thanks, your welcome <3
Step-by-step explanation: