By rounding to 1 significant figure 542.04 × 1.88 equal to 1019.0352
is 1019.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given we have to round off 542.04×1.88 = 1019.0352.
Now rounding off to one significant digit means we should have only one digit after the decimal place and the second digit after the decimal place is 3 which is less than 5.
∴ 1019.0352 rounded off to one significant digit is 1019.
learn more about rounding off here :
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Assume the random variable x is normally distributed with mean u = 86 and standard deviation o = 5. Find the indicated probability
P(x <83)
Answer:
2
Step-by-step explanation:
A shoe store sold 30 pairs of tennis shoes in stock. One week they had a sale and sold 8/10 of the shoes. How many pairs of tennis shoes did they sell that week ? Please give me the answer and the multiplication number model !
Answer:
24
Step-by-step explanation:
simplify 8/10 into 2/5 then 2/5 of 30 is 24
1.2.
Prove the following the trigonometric identity step-by-step
1.2.1 sin theta/sin theta+cos theta=tan theta/1+tan theta
Answer:
The identity is proved below.
Step-by-step explanation:
The tangent of an angle [tex]\theta[/tex] is given by:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this question, we are given the following trigonometric identity:
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\tan{\theta}}{1+\tan{\theta}}[/tex]
Applying the tangent
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\frac{\sin{\theta}}{\cos{\theta}}}{1+\frac{\sin{\theta}}{\cos{\theta}}}[/tex]
Now, we apply the least common multiple on the denominator. So
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\frac{\sin{\theta}}{\cos{\theta}}}{\frac{\cos{\theta}+\sin{\theta}}{\cos{\theta}}}[/tex]
SImplifying the cosine:
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}}[/tex]
Which means that the identity is proved.
question 2, thanks for the help :)
Answer:
the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
Step-by-step explanation:
Given the points on the graph
(4, 4)(9, 1)Here:
(x₁, y₁) = (4, 4)
(x₂, y₂) = (9, 1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [1 - 4] / [9 - 4]
= -3 / 5
Thus, the slope of the line passing through (4, 4) and (9, 1) is:
Slope = -3/5
What is the value of x
Answer:
54
Step-by-step explanation:
Is 1/2 plus 5/12 greater than 1 or less than 1
Answer:
Less than 1
1/2=6/12
6/12+5/12=11/12
11/12<1
#CarryOnLearning
Make it brainliest ty
Write the converse of the conditional statement: broccoli is a vegetable
Answer:
A vegetable is not a broccoli
Step-by-step explanation:
To write a converse of a conditional statement you interchange the hypothesis and the conclusion.
The statement is : Broccoli is a vegetable
The hypothesis : Broccoli
The conclusion : is a vegetable
Converse : A vegetable is not a broccoli
The table shows how many slices of cake were sold during the week. Each slice of cake is equivalent to 116 of a cake. Determine if each statement is true by selecting Yes or No. Table showing the number of cake slices sold each day. Monday, eighty slices. Tuesday, one hundred twenty slices. Wednesday, one hundred slices. Thursday, one hundred forty slices. A On Monday, the restaurant made 8 cakes and will have 3 left over because −116(80)=−5. Yes No B On Tuesday, the restaurant only needed 7 cakes because −116(120)=−712. Yes No C On Wednesday, the restaurant made 7 cakes and will have 34 of a cake left over because −116(100)=−6.25. Yes No D On Thursday, the restaurant made 8 cakes and will have 34 of a cake left because −116(110)=−8.75. Yes No brainiest
Answer:
yes
no
yes
no
hope this helps
Answer:
1. Yes
2. No
3.Yes
4.No
Step-by-step explanation:
I did the test and got it right!
On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Find the area of the figure. Explain or show how you got your answer. Note: Lines that look parallel are parallel, and angles that look like right angles are right angles.
Answer:
158.2 mm^2
Step-by-step explanation:
You can think of this figure as a rectangle in which a triangle from the bottom was moved to the top.
The area of the figure is the area of the rectangle.
A = LW = 14 mm * 11.3 mm = 158.2 mm^2
Find the required weekly payment into a sinking fund needed to accumulate $35,000 in 15 years by making weekly deposits into an account at 4.25% compounded weekly
.
Answer:
$32.10
Step-by-step explanation:
The amount to be accumulated in 15 years is the future value of the sinking fund, hence, using the future value formula below, we can determine the required weekly payment as appropriate:
Future value=weekly payment*(1+r)^n-1/r
Future value=$35,000
weekly payment is the unknown
r=weekly interest rate=4.25%/52=0.08173077% ( I use 8 decimal places in order to achieve accuracy)
n=number of weekly payments in 15 years=15*52=780
35000=weekly payment*(1+0.08173077% )^780-1/0.08173077%
35000=weekly payment*(1.89125311 -1)/0.000817308
35000=weekly payment*0.89125311 /0.000817308
weekly payment=35,000*0.000817308 /0.89125311
weekly payment=$32.10
Sally earns $9.56 per hour. What is her overtime pay at time-and-a-half?
y=$1.25x + $5.00 what is the total cost of service for the month if you stream 5 videos
Answer: $11.25
Step-by-step explanation:
Answer:
$11.25
Step-by-step explanation:
I assume that x = the 5 videos streamed
5*1.25=6.25
6.25+5 =11.25
y=$11.25
Doug had a total of $75 to buy 3 pictures for his room. He paid the same amount for each picture and had $27 left over. How much money did Doug pay for each
picture?
simplify 9 (3x - 1) + 2x.
Answer:
9 (5x-1)
Step-by-step explanation:
you have to add 3x and 2x
Answer:
29x-9
Step-by-step explanation:
9(3x)-9(1)+2x
27x - 9 + 2x
27x+2x=29-
29x-9
Given that kx^2 + hx - 4 = 0 has no roots. Find the ranges of value of k
Answer:
The ranges of value of k are values larger than 0 and lower than 16.
Step-by-step explanation:
Suppose we have a second order polynomial in the following format:
[tex]ax^2 + bx + c = 0, a \neq 0[/tex]
It will have no roots if:
[tex]\Delta = b^2 - 4ac < 0[/tex]
In this question, we have that:
[tex]hx^2 + hx - 4 = 0[/tex]
So, the coefficients are:
[tex]a = h, b = h, c = -4[/tex]
Then
[tex]\Delta < 0[/tex]
[tex]b^2 - 4ac < 0[/tex]
[tex]h^2 - 16h < 0[/tex]
A quadratic function, with a positive(as is 1 in this inequality), will be negative between it's roots.
The roots are:
[tex]h^2 - 16h = 0[/tex]
[tex]h(h - 16) = 0[/tex]
So
h = 0 or h = 16.
The ranes of value of k are values larger than 0 and lower than 16.
Factor f(x)=x2−8x+16
(A) (x−4)2
(B) (x+8)2
(C) (x−8)2
(D) (x+4)2
Answer:
A
Step-by-step explanation:
(x-4)^2 = x^2 -4x -4x + (-4)*(-4)
= x^2-8x+16 as required
The average price of a gallon of gas in California is 160% the national average. If the national average is $2.60, what is the average price of a gallon of gas in California?
Answer:
4.16
Step-by-step explanation:
160%=1.6
1.6 times 2.6 =4.16
There are 946 milliliters in a quart. There are 2 pints in a quart
How many milliliters are in a pint?
Answer:
There are 473 millimeters in 1 pint.
Step-by-step explanation:
946 ml in 1 quart.
2 pints in 1 quart
hence,
946 ml in 2 pints
hence in 1 pint we have 946/2 ml
i.e. 473 ml in 1 pint.
:)
Answer:
473 milliliters
Step-by-step explanation:
If there are 946 mL in a quart and there are 2 pints in a quart, divide 946 by 2 to find how many mL are in one pint.
Here's an equation you can set up to solve the problem.
— 946 = 2x
— 946 / 2 = 2x / 2
— 473 = x
So, if we let x stand for the amount of mL in a pint, then 473 = x means there are 473 mL in a pint.
Which expression is equivalent to 21^3sqrt15 - 9^3sqrt15?
A. 12
B. 30^3sqrt15
C. 12^3sqrt5
D. 12^3sqrt15
Answer:
the answer is D.
Step-by-step explanation:
Since the square: (3√15) is common in both of them, you only focus on 21 and 9. if you subtract 9 from 21, it will give you 12. so, just add (3√15) to 12, which will give you: 12^3sqrt15
Explain why it makes sense to use a negative number to represent Kirans account balance when he owes money
Answer:
He is in debt money, therefore he has less than 0$ which means he has a negative sum
Step-by-step explanation:
Solve
12 (8 – 4) =
Q 42
o 144
102
48
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1325 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of
the two cars that week?
Answer:
The [tex]20[/tex] mile-per-gallon car consumed [tex]40[/tex] gallons, whereasThe [tex]15[/tex] mile-per-gallon car consumed [tex]35[/tex] gallons.Step-by-step explanation:
Assume that the [tex]20[/tex] mile-per-gallon car consumed all that [tex]75[/tex] gallons of fuel. How far would the cars have travelled?
[tex]20 \times 75 = 1500\; \text{miles}[/tex].
This assumption overestimated the total mileage of the two cars by [tex]1500 - 1325 = 175\; \text{miles}[/tex]. Here's why: for every gallon that the second ([tex]15[/tex] mile-per-gallon) car consumed, this assumption would overestimate the total mileage by [tex]20 - 15 = 5\; \text{miles}[/tex]. Therefore, the overestimation of [tex]175\; \text{miles}[/tex] corresponds to:
[tex]\begin{aligned} & 175\; \text{miles overestimated} \\ & \times \left(\frac{1\; \text{gallon consumed by the second car}}{5\; \text{miles overestimated}}\right)\\ &= \frac{175}{5}\; \text{gallons consumed by the second car} \\ &= 35\; \text{gallons consumed by the second car}\end{aligned}[/tex].
Therefore, the second car consumed [tex]35\; \text{gallons}[/tex]. The first car would have consumed [tex]75 - 35 = 40\; \text{gallons}[/tex].
Verify the results: [tex]40 \times 20 + 35\times 15 = 1325\; \text{miles}[/tex].
A data set has a mean of 80. The value 83 lies one standard deviation above the mean. What is the margin of error?
Answer:
3
Step-by-step explanation:
Answer:
it will be 6
Step-by-step explanation:
The standard deviation is 83 – 80 = 3. Since margin of error is two times the standard deviation, it must equal 6.
Given the sequence 14, 17, 20, 23,...
a. Find a 10*
the tenth number in the sequnce is 41.
14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, etc.
The number on top of the division house is called the quotient.
True
False
Answer:
False
Step-by-step explanation:
The number on top of the division house is called the numerator.
The quotient is the result of the numerator / denominator.
Please mark as Brainliest!!!Dan can spread mulch in 12 hours. If Jessica helps, it takes them
2 hours. Without help, how long would it take Jessica to do this job?
Answer:
uh 14
Step-by-step explanation:
i did really just add 12+2
hope it help :)
help please (multiple choice) i am confused
Answer:
Angle E
Step-by-step explanation:
7. Carolina surveyed students about their
favorite music. Her results are shown in
the table.
Favorite Music
Music Number of Students
Country
18
Rock
8
Pop
20
Hip Hop
14
Based on the data in the table, what is
the probability that a randomly selected
student prefers hip hop music?
a)
b) 1 / 1
d)
Answer:
[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
14 students prefer hip hop music
There are 18 + 8 + 20 + 14 = 62 students
So
[tex]p = \frac{14}{62} = \frac{7}{31}[/tex]
[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.
A population of plastic chairs in a factory has a weight's mean of 1.5 kg and a standard deviation of 0.1 kg . Suppose a sample of size 100 is selected and X is used to estimate u . What is the probability that the sample mean will be within +0.02 of the population mean ? ( 5 points ) B ) At 95 % confidence , how large a sample should be taken to obtain a margin of error of 0.02 for the estimation of a population proportion ? Assume that past data are not available for developing a planning value for p
Answer:
huntombros avatar
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What is the surface area of the rectangular prism?
PLSSS HELP GUYS I NEED HELP ASAP
Answer:
348 ignore this eoendndisiwjd