9514 1404 393
Answer:
A: less than 2 hoursB: 2 to 5 hoursC: more than 5 hoursStep-by-step explanation:
The attached graph shows the various company costs for x number of hours. The graph nearest the x-axis represents the lowest cost.
We can see that cost is lowest using Company A for 2 hours or less, and Company C for 5 hours or more. For times between those, Company B has the lowest charges.
Of course, the equation for charges in each case is the sum of the service fee and the product of hourly charge and number of hours (x).
__
I find the graphing calculator to be the most efficient tool for solving these. The alternative is to compare the equations pairwise to see which gives lower rates. With a little practice, you learn that the "break even hours" will be the difference in service fees divided by the difference in hourly cost.
For example A will cost the same as B when the $20 service fee and the $10/hour cost difference are the same: for 2 hours. A and C will cost the same when the $45 service fee and the $15/hour cost difference are the same, after 3 hours. B and C will cost the same when the $25 difference in service fees and the $5/hour cost difference are the same, after 5 hours.
So B is cheaper above 2 hours, and C is cheaper than that above 5 hours. With no service fee, A is cheaper for small numbers of hours (<2).
A group consists of 5 men and 8 women. 4 people are selected to attend a conference.
a. In how many ways can 4 people be selected from this group of 13?
b. In how many ways can 4 women be selected from the 8 women?
c. Find the probability that the selected group will consist of all women.
a. The number of ways to select 4 people from the group of 13 is ___.
b. The number of ways to select 4 women from the group of 8 women is ___.
c. The probability is ___.
(Type an integer or a simplified fraction.)
Answer:
in four (4) ways 4 people can be selected
1. A set is said to be a singleton set,ig
a) n (A)=1
b) n (A)=0
In the Spring of 2021 the statistics course did a survey of the average number of parking tickets students received by gender. Which has been shared below. Based on the data below which statement would be the best null hypothesis?
Gender # of hours
male 6
female 8
female 8
male 3
female 7
female 5
male 3
male 2
female 9
female 7
female 2
female 3
male 9
female 0
female 2
male 4
male 9
female 12
female 15
female 3
female 6
male 7
female 3
female 8
male 3
male 6
female 7
female 8
Answer:
There is no difference between the two groups.
Step-by-step explanation:
The test hypothesis (null and alternative) are usually employed in evaluating if there is a statistical significance in a claim about the mean, standard deviation or variance of a sample and it's population parameter.
When comparing two independent variables, The null hypothesis usually establish that there is no difference between the mean value of samples, while the alternative hypothesis is the opposite.
The data given shows values for two independent groups ; Male and Female.
The null hypothesis will be:
H0 : There is no difference between the two groups.
H0 : μ1 - μ2 = 0
If the price of a stapler increase from Rs 50 to Rs 54, find the percentage increase?
Find the product: 12 x 3/5 =
Answer:
12 x 3/5 = 7 1/5
Step-by-step explanation:
12 x 3/5
Add 1 below 12 as a denominator to make it an improper fraction
= 12/1 x 3/5
Multiply numerators from both fractions as long as the denominators:
12 x 3 = 36
1 x 5 = 5
12/1 x 3/5 = 36/5
36/5 SIMPLIFIED IS 7 1/5
Hope this helps!
Answer:
36/5 = 7.2 = 7 1/5
Step-by-step explanation:
12 x 3/5
Change 12 into fraction form to make it easier.
12/1 x 3/5
Now multiply the numerators and the denominators.
12 x 3 = 36
1 x 5 = 5
12/1 x 3/5 = 36/5
If you don't want the answer as an improper fraction, 36/5 = 7.2 which is also equal to 7 1/5
Given f (t )equals 3 minus 2 t squared. Find and simplify fraction numerator f (2 plus h )minus f (2 )over denominator h end fraction.
Answer:
ushshdbs the 7th century there where the gall bladder and merchants Bank Ltd bank in the 7th
Complete the statement. A critical value is _____________. Choose the correct answer below. A. A critical value is how far away our sample statistic can be from the true population parameter with a certain level of confidence. B. A critical value is the probability of obtaining a sample statistic like the one obtained from the sample or something more unusual if the null hypothesis is true. C. A critical value is the number of standard errors (or standard deviations) to move from the mean of a sampling distribution to correspond to a specified level of confidence. D. A critical value is the value that best estimates a population parameter.
Answer:
A. A critical value is how far away our sample statistic can be from the true population parameter with a certain level of confidence.
Step-by-step explanation:
Test of a hypothesis:
When we are testing a hypothesis, we have a null hypothesis and an alternative hypothesis, and the conclusion depends on the test statistic, given by:
[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.
The test statistic measures the number of standard errors that we have to move away from the sample mean, and the critical value is how much we can be far from the population parameter with a certain level of confidence, that is, before a certain value we do not reject the null hypothesis, after the value we reject, and this value is the critical value, and thus the correct answer is given by option a.
What is the length of the line?
WILL GIVE BRAINLIEST!!
Answer:
18
Step-by-step explanation:
6^2 plus 3^2 = 324, square root 324 =18
Answer:
[tex]\sqrt{45}[/tex]
Step-by-step explanation:
The line represents the hypotenuse of a right triangle with legs 6 and 3. For any right triangle, the Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.
Therefore, we have:
[tex]6^2+3^2=c^2,\\c^2=36+9,\\c=\boxed{\sqrt{45}}[/tex]
Turn 1 1/5 to improper fraction
Answer:
6/5
Explanation:
Step 1
Multiply the denominator by the whole number
5 × 1 = 5
Step 2
Add the answer from Step 1 to the numerator
5 + 1 = 6
Step 3
Write answer from Step 2 over the denominator
6/5I hope this answer helps you out! Brainliest would be appreciated.Given f (x) = 4x-3, g(x) = x^3 +2x
Find (f-g) (4)
Answer:
[tex](f-g)(4) = -59[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=4x-3\text{ and } g(x) = x^3 +2x[/tex]
And we want to find the value of:
[tex](f-g)(4)[/tex]
Recall that this is equivalent to:
[tex](f-g)(4) = f(4) - g(4)[/tex]
Find f(4):
[tex]f(4) = 4(4)-3 = 13[/tex]
And find g(4):
[tex]g(4) = (4)^3 + 2(4) =72[/tex]
Substitute:
[tex](f-g)(4) = (13)-(72)[/tex]
And subtract. Hence:
[tex](f-g)(4) = -59[/tex]
Step-by-step explanation:
I love this question!
So there are a couple different ways of solving this. You feel free to ignore whichever one makes less sense.
Subtracting First
The first option is taking f(x) and g(x) and subtracting them, then introducing the number.
The calculation:
f(x) - g(x)
Substitute.
4x - 3 - (x^3 + 2x)
Multiply out the negative.
4x - 3 - x^3 - 2x
Rewrite.
-x^3 + 4x - 2x - 3
Simplify.
-x^3 + 2x - 3
Then, replace x with 4.
-(4)^3 + 2(4) - 3
Simplify.
-64 + 8 - 3
Add.
-59
Making x = 4 first
Here, we'll do what's on the tin. Find f(4) and g(4), then subtract them.
f(x) = 4x - 3
f(4) = 4(4) - 3
f(4) = 16 - 3
f(4) = 13
Then find g(4):
g(x) = x^3 + 2x
g(4) = (4)^3 + 2(4)
g(4) = 64 + 8
g(4) = 72
Then, subtract these two:
f(4) - g(4) = 13 - 72
f(4) - g(4) = -59
Answer:
Either way, the answer is -59
A police officer investigating a car accident finds a skid mark of 115 ft in length.
How fast was the car going when the driver hit the brakes?
Round your answer to the nearest mile per hour.
mph
Answer:
Speed of car = 49 mph (Approx.)
Step-by-step explanation:
Given:
Length of skid marked = 115 ft
Formula for skid mark = S = √21d
Where d = Length of skid marked
Find:
Speed of car
Computation:
Speed of car = √21d
Speed of car = √21(115)
Speed of car = √2,415
Speed of car = 49.1426
Speed of car = 49 mph (Approx.)
PLEASE HELP
2/3x =10
Show your work in details if you can, I have a hard time understanding this.
[tex]\\ \sf\longmapsto \dfrac{2}{3}x=10[/tex]
[tex]\\ \sf\longmapsto \dfrac{2x}{3}=10[/tex]
[tex]\\ \sf\longmapsto 2x=3(10)[/tex]
[tex]\\ \sf\longmapsto 2x=30[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
[tex] \begin{cases}\large\bf{\red{ \implies}} \tt \frac{2}{3} x \: = \: 10 \\ \\ \large\bf{\red{ \implies}} \tt \frac{2x}{3} \: = \: 10 \\ \\ \large\bf{\red{ \implies}} \tt 2x \: = \: 3 \: \times \: 10 \\ \\ \large\bf{\red{ \implies}} \tt 2x \: = \: 30 \\ \\ \large\bf{\red{ \implies}} \tt \: x \: = \:\frac{ \cancel{30} \: \: ^{15} }{ \cancel{2}} \\ \\ \large\bf{\red{ \implies}} \tt \: x \: = \: 15 \end{cases}[/tex]
A noted psychic was tested for extrasensory perception. The psychic was presented with 200 cards face down and asked to determine if each card were one of five symbols: a star, a cross, a circle, a square, or three wavy lines. The psychic was correct in 50 cases. Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial. Assume the 200 trials can be treated as a simple random sample from the population of all guesses the psychic would make in his lifetime. How large a sample n would you need to estimate p with a margin of error of 0.01 with 95% confidence? Use the hypothesized value p = 0.20 as the value for p*.
Answer:
r3jehejn wbbwbwbbwmwkwkwjwjwhhejehehehhe
Help me! Thanks!!!!!!
Answer:
there are infinite solutions
Step-by-step explanation:
if you add y-3 to both sides of the first equation, you will see that it is equal to the second equation, so they are the same line. Therefore, there are infinite solutions to this system
6x=1/2(2X +7)
Solve for x
Answer:
Step-by-step explanation:
6x=1/2(2x +7) Multiply both sides by 2
2*6x = 1/2(2x + 7)*2
12x = 2x + 7 Subtract 2x from sides
12x-2x =2x-2x+7
10x = 7 Divide by 10
x = 7/10
x = 0.7
Let's check it
6(0.7) = 4.2
1/2 (2*0.7 + 7)
1/2 (1.4 + 7)
1/2 ( 8.4)
4.2
Both sides check. The answer must be x = 0.7
ILL GIVE BRAINLIEST
Combine like terms.
4x – 7y + 2x – 4 = [ ? ]x + [ ]y + [ ]
Answer:
[6x] + [-7y] + [-4]
Step-by-step explanation:
There are only two like terms in this expression "4x" and "2x." Since they are like terms we can combine them by adding the coefficients and keeping the variable attached. Therefore we can combine 4x and 2x into 6x. Since there are no more like terms, this expression can be simplified to 6x - 7y - 4.
a bus carry 53 passengar on a trif. how many passenger can 9 such carry if each dose 2 trif
Answer:
954 passengers
Step-by-step explanation:
(Assuming I read the question correctly)
1 bus can carry in 1 trip = 53 passengers
1 bus can carry in 2 trips : 106 passsengers
9 busses can carry in 2 trips = 106 x 9 = 954
Answred by Gauthmath
I have a final for summer schoollll due midnight and it’s 10:23!!!!!!!!!!!!
Find the value of x on this triangle
Answer:
x = 35
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + 12^2 = (x+2)^2
FOIL
x^2+144=x^2+4x+4
Subtract x^2 from each side
144= 4x+4
Subtract 4 from each side
140 = 4x
Divide by 4
35 =x
A contractor is purchasing some stone tiles for a new patio. Each cost $3 and he wants to spend less than $1200. The size of each tile is 1 square foot. Write an inequality that represents the number of tiles he can purchase with a $1200 limit, and then figure out how large the stone patio can be.
Answer:
4 0 0 s q. ft.Step-by-step explanation:
3x≤1200; 400 sq. ft.A life insurance company wants to estimate its annual payouts. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 4 years. By what age have 80% of the plan participants passed away?
Answer:
By 71 years of age 80% of the plan participants have passed away.
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 68 years and a standard deviation of 4 years.
This means that [tex]\mu = 68, \sigma = 4[/tex]
By what age have 80% of the plan participants passed away?
By the 80th percentile of ages, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 68}{4}[/tex]
[tex]X - 68 = 4*0.84[/tex]
[tex]X = 71[/tex]
By 71 years of age 80% of the plan participants have passed away.
write the number 16, 107, 320 in expanded
form.
398383i4irujidifififif
The two countries with the highest cocoa production are the
Ivory Coast and Ghana. The Ivory Coast produces three times the amount of cocoa
produced in Ghana. (Source: International Cocoa Organization) Express the
amount of cocoa produced in the Ivory Coast in terms of the amount of cocoa produced in Ghana.
Answer:
38 percent of the Cocoa is produced in the ivory coast, with thousands being produced in Ghana, so Ghana is the main production rate of the cocoa, with the ivory coast producing less than half.
Step-by-step explanation:
What must be true about the discriminant of this quadratic equation for the mentioned values of k? Assume p>0.
value of the discriminant k > 0
Options:
B^2 - 4ac= 0
B^2 - 4ac is greater than 0
B^2 - 4ac is less than 0
Answer:
Step-by-step explanation:b
No real roots. Roots will have imaginary numbers. This means the quadratic is either always above the axis, or always below.
One real root. The graph touches the x -axis in one place. →
Two real roots. The graph crosses the x -axis twice.
Hello people can you please help me on this I've been stuck on it for like 30 minuets now
Answer:
Step 1: Complete the first equation
0.01 is a hundredth, therefore if we have 1.86 then we have 186 hundredths.
Step 2: Complete the second equation
1.86 / 2 = 0.93
0.01 is a hundredth, therefore if we have 0.93 then we have 93 hundredths.
Step 3: Complete the third equation
1.86 / 2 = 0.93
Find two numbers nearest to 8888888 which are exactly divisible by 2915 explain step by step
List the sides of the triangle in order from largest to smallest.
Find the second partial derivatives of the following functions
a) z = 3x^2 − 4xy + 15y^2
b) z = 4xe^y
c) z = 6xln(y)
(a) z = 3x ² - 4xy + 15y ²
has first-order partial derivatives
∂z/∂x = 6x - 4y
∂z/∂y = -4x + 30y
and thus second-order partial derivatives
∂²z/∂x ² = 6
∂²z/∂x∂y = -4
∂²z/∂y∂x = -4
∂²z/∂y ² = 30
where ∂²z/∂x∂y = ∂/∂x [∂z/∂y] and ∂²z/∂y∂x = ∂/∂y [∂z/∂x].
(b) z = 4x eʸ
∂z/∂x = 4eʸ
∂z/∂y = 4x eʸ
∂²z/∂x ² = 0
∂²z/∂x∂y = 4eʸ
∂²z/∂y∂x = 4eʸ
∂²z/∂y ² = 4x eʸ
(c) z = 6x ln(y)
∂z/∂x = 6 ln(y)
∂z/∂y = 6x/y
∂²z/∂x ² = 0
∂²z/∂x∂y = 6/y
∂²z/∂y∂x = 6/y
∂²z/∂y ² = -6x/y ²
Find the equation of the line that is parallel to f(x) and goes through point (-1,7).
Answer:
y=(3/7)*x+52/7
Step-by-step explanation:
The slope of the line will be (3/7). The equation of line will be y=(3/7)*x+52/7
Roulette is a casino game that involves spinning a ball on a wheel that is marked numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on a green space
Answer:
1/19
Step-by-step explanation:
There are a total of 36+2 = 38 spaces
2 are green
P(green) = green / total
= 2/38
=1/19
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