Answer:
b. 45 N
Step-by-step explanation:
The sum of the forces exerted by the two miners = 25 + 20
= 45 N
Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.
Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.
Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.
Suppose that you're paid $63.24 for 7 hours of work. What is your hourly pay rate?
Answer:
$9.03
Step-by-step explanation:
Using x for pay rate
63.24=7x Divide both sides by 7
x=9.03
prove trigonometric identity:
[tex] { \sin}^{2} + \cos ^{2} = 1[/tex]
Please show proof and explanation I really need help
from the pic above, hope it helps you
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
One number is five less than a second number. Five times the first is 2 more than 2 times the second. Find the numbers.
Battery life for a hand-held computer is normally distrituted and has a population standard deviation of 7 hours. Suppose you need to estimate a confidence interval estimate at the 95% level of confidence for the mean life of these batteries. Determine the sample size required to have a margin of error of 0.585 hours. Round up to the nearest whole number.
Answer:
A sample size of 551 is required.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of 7 hours.
This means that [tex]\sigma = 7[/tex]
Determine the sample size required to have a margin of error of 0.585 hours.
This is n for which M = 0.585. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.585 = 1.96\frac{7}{\sqrt{n}}[/tex]
[tex]0.585\sqrt{n} = 1.96*7[/tex]
[tex]\sqrt{n} = \frac{1.96*7}{0.585}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*7}{0.585})^2[/tex]
[tex]n = 550.04[/tex]
Rounding up(as for a sample of 550 the margir of error will be a bit above the desired target):
A sample size of 551 is required.
A population of 65 foxes in a wildlife preserve triples in size every 12 years. The function y = 65.3*, where x is the number of 12-year periods, models the population growth. How
many foxes will there be after 36 years?
After 36 years there will be foxes. (Type a whole number.)
Answer:
585 foxes
Step-by-step explanation:
36/12 = 3
That means there are 3 fifteen-year periods in 36 years.
So after 3 fifteen-year periods, there will be 65 × 3³ foxes
That is 75(27) foxes
585 foxes
A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.
Answer:
a=41.2
Step-by-step explanation:
a^2 + (30)^2. =51^2
a^2+900=2601
-900. -900
a^2= +\- square root 1701
a=41.243181
a=41.2
Jose and two of his friends are collecting baseball cards. Their goal is for the three of them to collect at least 100 cards in total. At the moment they have 43
cards. If they all plan to now collect the same number of cards, which inequality can Jose use to determine the minimum number of cards each person needs
to collect to reach their goal?
Answer:
3c + 43 >_ 100
Step-by-step explanation:
- 63 y^5
27y^7
- 18y^9
Take out the common factor
Answer:
[tex]Factor = 9y^5[/tex]
Step-by-step explanation:
Given
- 63 y^5 , 27y^7 and 18y^9
Required
Remove the common factor
Factorize each expression:
[tex]- 63 y^5 = -3*3*7*y*y*y*y*y[/tex]
[tex]27y^7 = 3 * 3 * y * y * y * y * y * y * y[/tex]
[tex]-18y^9 =-2 * 3 * 3 * y * y * y * y * y * y * y * y * y[/tex]
The common factor in the above expression is:
[tex]Factor = 3 * 3 * y*y*y*y*y[/tex]
[tex]Factor = 9y^5[/tex]
help please. (right now i’m just filling in for the 20 characters it’s not relevant to the question)
Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
[tex]\sqrt{b^2} = \sqrt{81}[/tex] (getting rid of the exponent by squaring both sides)
b = 9
x = 9
Rosa wants to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.
PLEASE ANSWER AS SOON AS POSSIBLE
Answer:
$405,44
Step-by-step explanation:
First of all we have to find how much the tv cost after 15% of discount.
we can use this proportion
15 : 100 = x : 499.99
x = (15*499.99)/100 = $74.9985
then we have to subtract the initial value to the value of the discount
499.99-74.9985 = $424,9915
thanks to the card we can apply another 10%
10 : 100 = x : 424,9915
x = (424,9915 *10)/100 = $42,49915
424,9915-42,49915 = $382,49235
now we have to apply taxes
6:100 = x : 382,49235
x = $22,949541
382,49235 + 22,949541 = $405,441891
that can be rewrite as $405,44
If we want to write an equation to solve this problem we can use this
499.99 - (499.99 * 15/100) - 1/10[499.99-(499.99*15/100)] + 6/100{1/10[499.99-(499.99*15/100) = x
use division to rename each fraction given below 12/20
Answer:
[tex]Fraction = \frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Fraction = \frac{12}{20}[/tex]
Required
Rename using division
This simply means that we reduce the fraction
So, we have:
[tex]Fraction = \frac{12}{20}[/tex]
Divide by 4/4
[tex]Fraction = \frac{12/4}{20/4}[/tex]
[tex]Fraction = \frac{3}{5}[/tex]
2) As a wildlife biologist you are currently researching feral pigs in Texas and need to collect data to yield the average weight of a mature female feral pig in Texas. Which type of study is most suitable for data collection in this situation? A) experimental B) Census sampling Eliminate D) simulation
Answer:
Step-by-step explanation:
C sampling
MAJOR HELP PLSSS!!!!!
Young company expects to double their profits every year for the next 10 years. If their profits were $5000 this year, which expression represents the profits after 10 years
A.5,000x2x10
B.5,000x2^10
C.5,000^2x10
D.5,000^10
Answer:
Suppose profits were $1
At 1 yr profit = 2 (2)^1
2 yr = 4 (2)^2
3 yr = 8 (2)^3
10 yr = 1024 (2)^10
So the correct answer should be 5000 * (2)^10
The answer of 4.38 x 10^4 in ordinary notation is
4,38 * 10⁴ = 4,38 * 10 000 = 43 800
The sum of the interior angle measures of a convex polygon is 2520° . How many sides does it have?
Answer:
16
Step-by-step explanation:
number of sides = (sum of interior angles / 180) + 2
(2520 / 180) + 2 = 16 sides
15 + z = 17.04
What is Z?
Answer:
2.04
Step-by-step explanation:
To find this we have to subtract 15 from both sides.
15 + z = 17.04
-15 -15
z = 2.04
4x + 3 2x+9 solve for x
Answer:
The value of x is 28°
Step-by-step explanation:
Here, In a given figure
4x + 3° ...(1)
2x + 9° ...(2)
Now, we know that the sum of all angle is 180° on a straight line
So,
4x + 3° + 2x + 9° = 180°
6x + 12° = 180°
6x = 180° - 12°
6x = 168°
x = 168° ÷ 6
x = 28°
Thus, The value of x is 28°
FOR VERIFICATION ONLY:-4x + 3° + 2x + 9° = 180°
4(28) + 3° + 2(28) + 9° = 180°
112° + 3° + 56° + 9° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
What is the probability of picking any color balloon except for red at random to the nearest hundredth? A) 0.81 B) 0.82 0 0.83 D) 0.84
Answer:
below
Step-by-step explanation:
first count them up
17
divide it by 16 its d
The probability of picking any color balloon except for red at random is 82%.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Red balloon = 3
Blue balloon = 2
Pink balloon = 2
Green balloon = 2
Orange balloon = 2
light Blue = 1
Yellow balloon = 2
Purple balloon = 2
So, the probability of picking any color balloon except for red at random
= 13/ 16 x 100
= 81.25 %
Thus, the required percentage is 82%.
Learn more about Probability here:
https://brainly.com/question/30034780
#SPJ2
Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills
Answer:
[tex]Change = \$8[/tex]
Step-by-step explanation:
Given
[tex]Bills = $20\ bills[/tex] (4)
[tex]Shirt = \$42[/tex]
[tex]Sweater= \$30[/tex]
Required
The change
First, we determine the amount paid,
To do this, multiply the number of bills by the worth of each bill.
So, we have:
[tex]Amount = 4 * \$20[/tex]
[tex]Amount = \$80[/tex]
Next, calculate the worth if item bought
[tex]Items = \$42 + \$30[/tex]
[tex]Items = \$72[/tex]
Subtract the items from the amount to get the change.
[tex]Change = \$80 - \$72[/tex]
[tex]Change = \$8[/tex]
Mount Fuji in Japan is 3,775meters high. The Mariana of each other in Trench is 10,994 meters deep. How many Mount fujis can fit on top of each other in the trench? (GIVING BRAINLIEST)
Answer:
2.91≠3
Step-by-step explanation:
You divide the Trench by the Fuji to get the quotient or ratio. 10994÷3775 which will be 2.9123179 which you can round of if advised.
The perpendicular sides of a triangular rug measure 3 feet and 4 feet. Calculate the perimeter of the rug. a. 39 ft c. 21 ft b. 7 ft d. 12 ft Please select the best answer from the choices provided A B C D
Answer:
D
Step-by-step explanation:
In the comments tell me if you want me to explain.
Answer:
D
Step-by-step explanation:
edge2021
Pls help meee show work if you can ty
Question: Explain the Difference between an equation and an expression
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols.
An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
Answer:
y = ½x + 8
Step-by-step explanation:
The equation of the function can be written in the slope-intercept form y = mx + b.
m = slope = change in y/change in x
b = y-intercept = the value of y when x is zero
✔️From the table, when x = 0, y is 8.
Therefore,
y-intecept (b) = 8
✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):
m = (9 - 6)/(2 -(-4))
m = 3/6
m = ½
✔️Next is to plug in the values of m and b into y = mx + b.
Thus:
y = ½x + 8
please i’ve gotten two wrong and i need to pass this
Answer:5 and 92
Step-by-step explanation:
Answer:
Step-by-step explanation:
what's the answer choices ??
what is the solution to the equation 5=2/5a
Answer:
a = 25/2
Step-by-step explanation:
5 = (2/5)*a // - (2/5)*a
5-((2/5)*a) = 0
(-2/5)*a+5 = 0
5-2/5*a = 0 // - 5
-2/5*a = -5 // : -2/5
a = -5/(-2/5)
a = 25/2
a = 25/2
2. The weights of 14 students are as follows (in lbs.)
90, 100, 85, 110, 112, 120, 94, 87, 88, 103, 99, 90, 90, 88
a. Find all 3 measures of center for the following data set.
b. Create a dot plot by making a number line with an
appropriate scale (It does not need to start at O and go
up one by one)
c. Find the MAD and IQR of this data set.
d. Create a box plot and identify the minimum, Q1, Q2, Q3, and
maximum
Answer:
mad- 8.9796
iqr- 15
q1- 88
q2- 92
q3- 103
minimum- 85
maximum- 120
Step-by-step explanation:
the explanation is the picture **sorry i couldn't help with the dot plot**
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?
A. 5 years.
B. 7 years.
C. 9 years.
D. 11 years.
Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling method. The marketing department of a widget manufacturer collected potential consumer preference data regarding a proposed widget upgrade. Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget. The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets. At a .10 level of significance, was the threshold probably met
Answer:
Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.
Step-by-step explanation:
The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.
This means that at the null hypothesis we test if the proportion is at least 60%, that is:
[tex]H_{0}: p \geq 0.6[/tex]
And the alternate hypothesis is:
[tex]H_{a}: p < 0.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that:
[tex]\mu = 0.6[/tex]
[tex]\sigma = \sqrt{0.6*0.4}[/tex]
Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.
This means that [tex]n = 575, X = \frac{338}{575} = 0.5878[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}[/tex]
[tex]z = -0.6[/tex]
Pvalue of the test and decision:
We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.
Looking at the z-table, z = -0.6 has a pvalue of 0.2743.
Since 0.2743 > 0.1, the threshold probably was met.