Answer:
Step-by-step explanation:
Work done by Kayla in 1 hour = 1/15
Work done by Jennifer in 1 hour = 1/16
Work done by both Kayla and Jennifer = [tex]\frac{1}{15}+\frac{1}{16}[/tex]
[tex]= \frac{1*16}{15*16}+\frac{1*15}{16*15}\\\\=\frac{16}{240}+\frac{15}{240}\\\\=\frac{31}{240}\\[/tex]
Hours taken by both = 240/31 = 7 23/31 hours
use inverse operations to solve the equation HELP NOW!!!
Answer:
w=18
Step-by-step explanation:
-1-2 = =3
w/-6 = -3
-6x-3 = 18
w=18
Answer:
w = 18
Step-by-step explanation:
[tex]\frac{w}{-6}+2=-1\\\frac{w}{-6}=-3\\w=18[/tex]
how far does the train travel if it is doing 65km/h during a time of 95 minutes ? give your answer in kilometers and then in meters
9514 1404 393
Answer:
102 11/12 km ≈ 102.917 km
102,916 2/3 m ≈ 102,917 m
Step-by-step explanation:
1 minute is 1/60 of an hour, so 95 minutes is 95/60 hours = 19/12 hours.
Distance is the product of speed and time, so ...
distance = (65 km/h)(19/12 h) = 1235/12 km = 102 11/12 km ≈ 102.917 km
__
Each kilometer is 1000 meters, so this distance is ...
(102.917 km) × (1000 m/km) = 102,917 m
The degree of the polynomial p(y) =(y-4)^3-y^3 is
Plz urgent
Answer:
The degree of polynomial is 2
Step-by-step explanation:
Given
[tex]p(y) = (y -4)^3 - y^3[/tex]
Required
The degree
When expanded, [tex]p(y) = (y -4)^3 - y^3[/tex] is:
[tex]p(y) =y^3-12y^2+48y-64-y^3[/tex]
Collect like terms
[tex]p(y) =-12y^2+48y-64-y^3+y^3[/tex]
[tex]p(y) =-12y^2+48y-64[/tex]
The degree of freedom is 2
What is the solution to The system of linear equations graphed below?
Answer:
(3 1/2 , -4)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
The graphs intersect at x = 3 1/2 and y = -4
(3 1/2 , -4)
PLS HELP!! need the answer asap
Answer:
x = 8
Step-by-step explanation:
Since the lines are parallel:
the given angles are alternate exterior angles and alternate exterior angles has same measures
8x = 64 divide both sides by 8
x = 8
Following a strategy of product differentiation, Westwood Corporation (W) makes a high-end kitchen range hood, KE8. W’s data for 2012 and 2013 follow on the next slide.In 2013, W produced no defective units and reduced direct materials usage per unit of KE8. Conversion costs in each year are tied to manufacturing capacity. Selling and customer service costs are related to the number of customers that the functions are designed to support. W has 23 customers (wholesalers) in 2012 and 25 customers in 2013.
Units of KE8 produced and sold 40,000 42,000
Selling Price $100 $110
Direct Materials (sq ft) 120,000 123,000
DM cost per sq ft $10 $11
Manufacturing capacity for KE 850,000units 50,000units
Conversion Costs $1,000,000 $1,100,000
CC per unit $20 $22
Selling & Customer Service capacity 30customers 29customers
Selling & Customer Service Costs$720,000 $725,000
Cost per customer$24,000 $25,000
Required:
(1) Describe elements you would expect to see in W’s BSC.
(2)Calculate the growth, price recovery and productivity components that explain the change in the 2012 to 2013 income. Can you use the worksheet to get the variances?(3) Suppose during 2013, the market size for high-end rangehoods grew 3% and all increases in market share are due to W’s product differentiation strategy. How much of the change in OI is due to the industry market size factor, cost leadership and product differentiation?
(4) How successful was the strategy implementation?
please answer thank you
Answer:
6.
sin 26=opposite/hypotenuse
sin26=22/x
x=22/sin26
x=50.19
x=50.2
Kylie saved her pennies until she had saved 50 pennies. She cashed in her pennies for nickels. How many nickels did she get when she cashed in her 50 pennies?
Answer:
10
Step-by-step explanation:
5+5+5+5+5+5+5+5+5+5
Find the two square roots of 121 (write answer using the word “and” to separate them)
Answer:
11 and 11
Step-by-step explanation:
brainliest^:)
Answer:
11 i do not think there is a 2nd one unless 1
Step-by-step explanation:
The only one I could think of because It is the positive solution of the equation x to the 2nd power = 121. The number 121 is a perfect square. 1.
P
N
0
O A. m2 MOP = 62
m2 NOP= 62
B. mz MOP = 61
m 2 NOP = 61
O C. m MOP = 48
m2 NOP = 72
D. m2 MOP= 122
m2 NOP = 122
Answer:
MOP = 62
NOP = 62
Step-by-step explanation:
sorry the answer is tilted
In the triangle below, which of the following is equivalent to the tangent of
62°?
Answer:
tan62= 7/25
Step-by-step explanation:
tan = opposite/adjacent
Option A is the correct answer.
We need to find, from the given option which is equivalent to the tangent of 62°.
What is the ratio of trigonometric function tangent?The ratio of trigonometric function tangent is tanθ=Opposit/Adjacent.
Now, tan62°=24/7.
Therefore, option A is the correct answer.
To learn more about trigonometric ratios visit:
https://brainly.com/question/13724581.
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Ill give brainliest.....
Which is an asymptotic of the graph of the function y=cot [x- 2pi/3]
Answer:
B
Step-by-step explanation:
The asymptote of the function [tex]y = cot(x - \frac{2\pi}{3})[/tex] is at x = - π/3.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
We know, tan = sin/cos.
Hence 1/tan = cos/sin = cot.
So, The denominator sin can not be zero, And sin is zero on π and - π.
Given, A function [tex]y = cot(x - \frac{2\pi}{3})[/tex].
At, x = - π/3.
Therefore, [tex]y = cot(\frac{\pi}{3} - \frac{2\pi}{3})[/tex].
[tex]y = cot(-\pi)[/tex], Which is undefined.
learn more about asymptotes here :
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QUESTION 2
Find an equation of the line containing the given pair of points
(-4.0) and (-9, 3)
3 12
y = 3x-5
4 12
y = -3%-5
4. 12
- -
3 12
y=-3%-5
QUESTION 3
The normal distributions for three different SAT examinations is displayed above what can you conclude about the standard deviations of the three exams?
Comparing the standard deviations of each distribution, you have blue < red < yellow.
For any normally distributed random variable X with mean µ and standard deviation σ, we have the property that
Pr[|X - µ| ≤ σ] ≈ 68%
In other words, roughly 68% of a normal distribution lies within 1 standard deviation of the mean. This means the plot of the density of a distribution with a smaller standard deviation forms a tighter peak (like the blue curve), whereas a larger standard deviation would be indicated by a more dispersed, flattened curve (like the yellow one).
Standard form 6,000,000+900,000+80,000+9,000+500+80+2
Answer:
6.989582×10^-6
Step-by-step explanation:
6,000,000+900,000+80,000+9,000+500+80+2
=6989582
=6.989582×10^-6
The box plots represent the distances run by the players in a football match.
Team B
8.7 88 89 90 91 92 93 9.4 0.5 0.6 0.7 08 09 10.0 10.1 10.2 10.3 10.4
Distance run (km)
The players in Team A ran more consistent distances.
How do the box plots show this?
(Total 1 mark)
Answer:
Following are the response to the given question:
Step-by-step explanation:
Its scope, as well as the cross median range, could be established using the measurement for dispersal by looking at even a booth map. We simply search for the difference between the larger and lowest data value to define the range, and we make all the difference between the third quartile and first quarter for the disposing of products and services ranges.
Team A:
[tex]R=V_{max} -V_{min} \to R= 10.2 – 8.8 = 1.4 \\\\IQR = Q_3 - Q_1 = IQR = 9.09 - 9.5 = 0.4\\\\[/tex]
Team B:
[tex]R= 10.4 - 9.0 = 1.4\\\\IQR= 10.1 – 9.6 = 0.5[/tex]
Based on previous results, you see an equal range, but variation in the interquartile. Group B does have a greater confidence interval than Group A, therefore we can say it is far more consistent over group B distance. Group A is a different type.
Hurry plz what is the following prouduct?
Answer:
2nd one
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
Answer:
A
Step-by-step explanation:
Keenan is playing darts. So far, he has hit the bullseye 2 times and missed the bullseye 8 times. Considering this data, how many bullseyes would you expect Keenan to get during his next 20 tosses?
Answer:
4 times
Step-by-step explanation:
First you take the number of times and divide them by the number of times he attempted it. (2)/(8+2) or 1/5. Then you set up an inequality which would look like this. x/20=1/5 then you will cross multiply them to get this equation 5x=20. then you solve for x and you would get x=4. So you can expect him to hit four bullseyes in the next 20 attempts.
Suppose x is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is less than 9.7 is _____. a. .4931 b. 0 c. .0069 d. .9931
Answer:
c. .0069
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 22 and a standard deviation of 5.
This means that [tex]\mu = 22, \sigma = 5[/tex]
The probability that x is less than 9.7 is
This is the p-value of Z when X = 9.7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{9.7 - 22}{5}[/tex]
[tex]Z = -2.46[/tex]
[tex]Z = -2.46[/tex] has a p-value of 0.0069, and thus, the correct answer is given by option c.
Internet providers: In a survey of 961 homeowners with high-speed Internet, the average monthly cost of a high-speed Internet plan was $74.54 with standard deviation $11.08. Assume the plan costs to be approximately bell-shaped. Estimate the number of plans that cost between $52.38 and $96.7. Round to the nearest whole number. The number of plans that cost between $52.38 and $96.7 is .
Answer:
The number of plans that cost between $52.38 and $96.7 is 913.
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 $74.54, standard deviation of $11.08
Percentage of plans that cost between $52.38 and $96.7.
52.38 = 74.54 - 2*11.08
96.7 = 74.54 + 2*11.08
Within 2 standard deviations of the mean, so by the Empirical Rule, 95%.
The number of plans that cost between $52.38 and $96.7 is .
95% of 961. So
0.95*961 = 913
The number of plans that cost between $52.38 and $96.7 is 913.
Which number line represents the solutions to x + 4 = 2?
+
+
-6 -5 -4 -3 -2 -1 0
1
2 3
4
5
6
+
+
O
+N
-7 -6 -5 -4
0
1
2 3
4
5
6
+
O
O +
-7-6-5-4-3-2-1
1
2 3
4
5 6
+
+
+
+
-7 -6 -5 -4
-3 -2 -1 0
1
2
3
4 5 6 7
Answer:
A
Step-by-step explanation:
[tex]\sqrt{(x+4)^2} = 2\\(x+4)^2 = 4\\[/tex]
x + 4 = ± 2
x = -2
x = -6
Please help a homie out
Answer:
TUW=VUW
Step-by-step explanation:
Answer:
Option 3: Angle TUV = angle VUW
Step-by-step explanation:
Gabriela believes that purchasing the sound system is an essential purchase . Does that mean buying a sound system is an essential purchase for everyone ? Why or why not ? Be sure to use the terms essential " and " discretionaryin your response.
The equation of the line that passes through the point (1, 2) and is parallel to the line 3x + 4y = 12.
Answer:
Step-by-step explanation:
We first turn 3x+4y=12 into standard form:
4y=-3x+12
y=-3/4x+3
By knowing the 2nd line is parallel to the first, the slopes are the same:
y=-3/4x+b
Plugging in (5,4) into the equation:
4=-15/4+b
b=1/4
Final equation=y=-3/4+1/4.
please help! Thank you
Answer:
Step-by-step explanation:
since it is an isosceles triangle other two angles are 45 and 45 degree.
take 45 degree as reference angle
using sin rule
sin 45=opposite/hypotenuse
1/[tex]\sqrt{2[/tex]=x/[tex]\sqrt{12[/tex]
do cross multiplication
x[tex]\sqrt{2[/tex]=[tex]\sqrt{12[/tex]
x=[tex]\sqrt{12[/tex]/[tex]\sqrt{2[/tex]
x=[tex]\sqrt{3[/tex]
Graph the inequality 7≤ y -3x < 11
Answer:
1
Step-by-step explanation:
1. A rectangular prism has a width of 4 cm, a height of 8 cm and a depth of 7 cm. What is the
surface area of the prism?
Answer:
232
Step-by-step explanation:
a cylinder has height of 10 inches and a diameter of 1 1/2 inches.what is volume of the cylinder?
pls help me
Answer:
the volume is 7.85in³
HAVE A GOOD DAY
2/5 14.1/9 25/5 what is the improper fraction mixed number and common fraction
Answer:
A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.
Step-by-step explanation:
i did it before