Answer:
you would add a /1 under the 7 so it would be 7/1
Step-by-step explanation:
Answer:
84/12
Step-by-step explanation:
since 7 is a whole, you need to make it a improper fraction so its easier to subtract. We need to do this by making sure the denominator stays the same which is 12.Then do 7x12. you get 84, so 84/12. Then its easier to solve.
What number is equivalent to 9 1/2?
Answer:
the answer is going to be 2/4
Tamela's school day is 6 hours. Yesterday, she had a doctor appointment and she missed 1/6 of her school day. How many school hours did she miss
during her doctor appointment? Express your answer in simplest form.
Answer:
1 hour
Step-by-step explanation:
Equation: 6 hours × 1/6 hours = 1 hour
If there are 6 hours and Tamela missed 1/6, that means she missed 1 hour of school.
If x=3. what is y=?
Y=
X: -3 0 3 6
Y: -5 -4 -3 -3
Answer:
Step-by-step explanation:
y = -3
HELP IM STRUGGLING I DONT WANNA FAIL THIS SCHOOL YEAR
Answer:
507 cubic m
Step-by-step explanation:
V = l · w · h
V = 13 × 13 × 3
V = 507
Pls answer this quickly. I need at atleast 70%
The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.
How to find the equation of a line?The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.
Therefore, let's represent the line with yellow point in slope intercept form.
Hence,
y = mx + b
where
m = slopeb = y-interceptTherefore, using (0, 2) and (6, 9).
m = 9 - 2 / 6 - 0
m = 7 / 6
Hence, let's find the y-intercept
y = 7 / 6 x + b
2 = 7 / 6(0) + b
b = 2
Therefore,
y = 7 / 6 x + 2.
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maya needs 54 cubic feet of soil for her garden. she already has 4.5 cubic feet of soil. Each bag contains 1.5 cubic feet of soil. How many bags of soil should maya purchase?
Answer:
33 bags
Step-by-step explanation:
she has 4.5 ft³
she needs 54 ft³
she must get an additional
54 ft³ - 4.5 ft³ = 49.5 ft³
each bag has 1.5 ft³
(49.5 ft³)/(1.5 ft³) = 33
Answer: 33 bags
DO THE MATH: Skipper has a credit card account that charges 19% APR using 31
day billing periods. On the first day of the billing period, Skipper buys marine-grade
rope for $933 on the credit card. No other purchases are made. Skipper pays off the
purchase on day 31 at the end of the billing period. What is Skipper's finance
charge? Round your answer to the nearest penny.
Purchase
Day Description
1
Marine-grade rope
Payment
4
Amount
$933.00
Day Amount
31 $933.00
The table below will help you calculate the finance charge.
Skipper's finance charge at the end of the billing period is given as follows:
$14.77.
How to obtain the finance charge?The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.
The amount of interest accrued after t years, using simple interest, is given as follows:
I(t) = Prt.
The parameters for the equation are given as follows:
P is the principal.r is the interest rate, as a decimal.t is the time, in years.Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:
P = 933, r = 0.19, t = 1/12.
Hence the finance charge for Skipper's purchase is calculated as follows:
I = 933 x 0.19 x 1/12 = $14.77.
(rounding to the nearest penny = nearest cent).
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The scatterplot above displays the relationship between the amount of food hippopotamuses eat per day and their age. Describe and explain any associations and data features on the scatterplot. Then, use the variables on the graph to interpret the relationship that is shown.
The scatter plot shows a [positive linear] association.
How to determine the association of the scatterplotFrom the question, we have the following parameters that can be used in our computation:
The image of the scatter plot
On the scatter plot, we can see that
The points appear to be on a straight line
Also, we can see that
As the x values increases the y values increases
This represents a positive linear association.
Hence, the association is a positive linear association.
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Determine whether the dimensions of each rectangle described of Taylor's first rectangle.
Select Yes or No for each set of dimensions.
Length: 6 in.; Width: 3 / 4 in.
Length: 1 / 2 in.; Width: 4 in.
Length: 1 / 8 in.; Width: 9 in
Length: 3 in: Width: 5 / 8 in.
Step-by-step explanation:
yes
no
yes
yes
that is the correct answer
Help with fractions of a whole number
Answer:
22 tickets
Step-by-step explanation:
I assume you're asking about question 2
To find a fraction of a whole number you divide by the bottom number and multiply by the top number. If 2/3 are kids tickets then 1/3 are adult tickets so you divide by 3 and multiply by 1
\(66 \div 3 = 22 \times 1 = 22\)
Ms.Wiz spent 58 dollars on a pair of jeans at old navy.A week later,the store ran a sale and all jeans were 35% off.if she had waited a week,how much would she had paid for the jeans
Answer:
$37.70
Step-by-step explanation:
56*.65
pls mark brainliest
Answers please I need it done ASAP
Answer:
1) 11^42. [. ( a^b)^c is a^bc]
2) 5^5. [a^b/a^c= a^(b-c)
3) 14^24
4) 3^10
Hunter measured the middle school and made a scale drawing. The scale he used was 1 inch : 10 feet. The gym is 7 inches wide in the drawing. How wide is the actual gym?
Answer:
70 ft
Step-by-step explanation:
You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.
Scale factorEach inch represents 10 feet, so 7 inches will represent ...
7 × 10 ft = 70 ft
The gym is 70 ft wide.
__
Additional comment
You can also write and solve an equation that shows the measures are proportional:
actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)
Multiplying both sides of this proportion by 7 in, we have ...
gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft
what is the measurement of angle C?
Answer: 26 degrees.
Step-by-step explanation: If I'm doing the math correctly, you are trying to make all the angles add up to 180 degrees. All you have to do is subtract the two angle measures from 180 to get the answer you need:
180 - 120 - 34 = 26
Therefore, your answer is 26 degrees.
Have a great day! :)
The ratio of Mary's saving to Janet's savings in January was 7:4. When Mary's saving was decreased by 40% in February and Janet's savings increased by half as much, their total savings in February became $2040. How much was Janet's savings in January?
Janet's savings in January is $800
What is word problem?A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.
Represent Mary's savings by x and Janet's savings by y
7/4 = x/y
40/100 × x = 40x/100 = 2x/5
New savings for Mary =
x -2x/5 = 5x - 2x)/5 = 3x/5
50/100 × y = y/2
New savings for Janet =
y + y/2 = 3y/2
3y/2 + 3x/5 = 2040
15y + 6x = 20400
7y = 4x
y = 4/7x
Substitute (4/7)x for y
15( 4/7) x + 6x = 20400
(60/7 )x + 6x = 20400
60x + 42x = 142800
102x = 142800
x = 142800/102
x = $ 1400
y = 4/7 × 1400
y = $800
Therefore, the savings for Janet in January is $800.
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to compare the average weight gain of pigs fed two different rations, nine pairs of pigs were used. the pigs in each pair were littermates. a coin toss was used to decide which pig in each pair got ration a and which got ration b.
A. Paired t-test should be used in this scenario since the pigs in each pair are littermates and the two rations are being tested on the same subjects. Paired t-test is used to compare the means of two related samples.
Describe Paired t-test?The paired t-test is a statistical test used to compare the means of two related samples or groups. It is also known as the paired samples t-test or dependent samples t-test.
The paired t-test is used when the data in the two samples are related or paired in some way, such as when the samples are taken from the same subjects before and after an intervention or treatment. The paired t-test calculates the difference between the paired observations and tests whether this difference is significantly different from zero.
The steps involved in performing a paired t-test include:
Calculate the difference between the paired observations.Calculate the mean and standard deviation of the differences.Calculate the t-value using the formula: t = (mean difference) / (standard deviation of differences / square root of sample size).Determine the degrees of freedom (df) using the formula: df = n - 1, where n is the number of pairs.Determine the critical t-value from a t-distribution table using the chosen level of significance (usually 0.05).Compare the calculated t-value with the critical t-value. If the calculated t-value is greater than the critical t-value, then the difference between the means is considered statistically significant.
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Find the midpoint of the segment below and enter its coordinates as anordered pair. If necessary, express coordinates as fractions, using the slashmark ( ) for the fraction bar.
To find the coodinates of the midpoint (x,y) we use the following formula:
\(\begin{gathered} x=\frac{x_1+x_2}{2} \\ y=\frac{y_1+y_2}{2} \end{gathered}\)Susbtituting
\(\begin{gathered} x_1=-4 \\ x_2=4 \\ y_1=6 \\ y_2=-2 \end{gathered}\)we get:
\(\begin{gathered} x=0 \\ y=2 \end{gathered}\)Finally, the coordinates of the midpoint are (0,2).
Let f(x) = x ^ 2 + 5 and g(x) = sqrt(x - 5) Find the rules for (fg)(x) (gf)(x)
Answer:
To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.
(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x
(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|
Therefore, the rules for (fg)(x) and (gf)(x) are:
(fg)(x) = x
(gf)(x) = |x|
Step-by-step explanation:
A company was hired to build a tunnel through a mountain. The company started at the south end of the mountain and completed only five hundred eighty five feet of the required seven thousand, six hundred five feet before going bankrupt. A different company was hired to complete the job, but th
ey decided to use two crews. Crew A would start where the other company left off at the southern end, while Crew B would start at the northern end and dig towards the other crew. Crew A was able to dig fifty eight feet of the tunnel per week. Crew B, which was larger, was able to dig fifty nine feet of the tunnel per week.
Let's denote crew A's work per week as A and crew B's work per week as B.
We are given that A = 58 ft per week and B = 59 ft per week.
We have to calculate how many weeks it will take both crews to complete the tunnel.
585 feet have already been dug from the south end. So, the total tunnel length that needs to be dug is 7605 - 585 = 7020.
Now, let's assume that both the crews continue to work at their respective rate of A = 58 ft/week and B = 59 ft/week.
Therefore, total tunnel length that needs to be dug in weeks = (7020 ft) / (A + B)
= (7020 ft) / (58 ft/week + 59 ft/week)
= 120.20 weeks
Hence, it will take a total of 120.20 weeks for both crews to complete the tunnel.
"A waiter believes the distribution of his tips has a model that is slightly skewed to the left​, with a mean of ​$10.60 and a standard deviation of ​$6.60. He usually waits on about 50 parties over a weekend of work. ​a) Estimate the probability that he will earn at least ​$600. ​b) How much does he earn on the best 1​% of such​ weekends?"
Answer:
(a) 0.0668
(b) $638.74
Step-by-step explanation:
Let X denote the tips earned by a waiter.
It is provided that X follows a left-skewed distribution with mean, μ = $10.60 and standard deviation, σ = $6.60.
It is also provided that, the waiter usually waits on about n = 50 parties over a weekend of work.
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.
Then, the mean of the distribution of the sum of values of X is given by,
\(\mu_{S}=n\mu\\\)
And the standard deviation of the distribution of the sum of values of X is given by,
\(\sigma_{S}=\sqrt{n}\sigma\)
As the sample size is large, i.e. n = 50 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of total tips by the normal distribution.
The mean and standard deviation are:
\(\mu_{S}=50\times 10.60=530\\\\\sigma_{S}=\sqrt{50}\times 6.60=46.67\)
(a)
Compute the probability that he will earn at least $600 as follows:
\(P(S\geq 600)=P(\frac{S-\mu_{S}}{\sigma_{S}}\geq \frac{600-530}{46.67})\\\\=P(Z>1.50)\\\\=1-P(Z<1.50)\\\\=1-0.93319\\\\=0.06681\\\\\approx 0.0668\)
Thus, the probability that he will earn at least $600 is 0.0668.
(b)
Let x represents his earnings on the best 1% of such weekends.
That is, P (X < x) = 0.99.
⇒ P (Z < z) = 0.99
The corresponding z-score is, 2.33.
Compute the value of x as follows:
\(z=\frac{S-\mu_{S}}{\sigma_{S}}\\\\2.33=\frac{x-530}{46.67}\\\\x=530+(2.33\times 46.67)\\\\x=638.7411\\\\x\approx 638.74\)
Thus, on the best 1% of such weekends the waiter earned $638.74.
A national businessman magazine reports that the mean age of retirement for women executives is 61.0. A women’s rights organization believes that this value does not accurately depict the current trend in retirement. to test this the group pulled a simple random sample of 95 recently retired will make executives and found that they have a mean age of retirement at 61.5 and the standard deviation is 2.5 years. is there is sufficient evidence of support the organization belief at the a=0.05 significance level?
P-value >= 0.05 and adequate evidence supporting the organization's opinion at the a=0.05 significance level prevent the null hypothesis from being rejected.
What is null hypothesis ?A common statistical theory called the null hypothesis asserts that there is no statistical relationship or significance between two sets of observed data and measured events for a given single observed variable.
The alternative and null hypotheses are listed below. μ = 61
61 Alternative Hypothesis
Rejection Area
For = 0.05, this test has two tails.
Z has a critical value between -1.96 and 1.96.
Reject H0 thus if z -1.96 or z > 1.96
The test statistic is z = (xbar - mu)/(sigma/sqrt(n)) z = (61.5 - 61)/(2.5/sqrt(95)) z = 1.95.
P-value P-value for the method is 0.0512.
Failure to reject the null hypothesis because P-value >= 0.05.
Approach to the Rejection Zone
Failure to reject the null hypothesis because the test statistic z is within the crucial value range.
P-value >= 0.05 and adequate evidence supporting the organization's opinion at the a=0.05 significance level prevent the null hypothesis from being rejected.
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I need help with this
Answer:
the top 23% of students receive public recognition...assuming a normal distribution how many standard deviations above the mean must a student have to score to get recognize
Which function is best represented by the graph?
Answer:This would be option letter C
Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N
Answer:
D
Step-by-step explanation:
f(x)= -x^2+4
Draw graph of -x^2 and shift it 4 units above
Two trains leave Evas station 70 minutes apart. Train X leaves first at 1:15 pm and heads west at a speed of 106 km/h. Train Y leaves later and travels directly north at a speed of 128 km/h.
a) How far apart are these trains (along a hypotenuse) at 4:05 pm?
b) If Train Y has an unplanned stop that lasts 24 minutes, how far apart should these two trains be at 5:50 pm?
c) If both trains turn around and head back to Evas station, with Train X travelling at a new average speed of 142 km/h, which one will arrive first? Show your work and explain your thinking.
Train X is 374.39 km far apart from train Y (along the hypotenuse) at 4:05 pm and 627.009 km far apart (along the hypotenuse) at 5:50 pm.
Define hypotenuseIt goes without saying that the side opposite the right angle is the hypotenuse of a right triangle. This side of a right triangle is the longest.
given: Train X travels at a speed = 106 km/h
Train X started moving on 1:15
Train Y travels at a speed = 124 km/h
Train Y started moving on 2:25 pm
a) Time taken by train X = 2 h 15 min = 2.83 h
Speed = 106 km/h
Distance = speed * time
Distance = 106 * 2.83
Distance travelled by train X towards west is 299.98 km.
Time taken by train Y = 1 h 45 min = 1.75 h
Speed = 128 km
Distance = speed * time
Distance = 128 * 1.75
Distance travelled by train Y towards north is 224 km.
By using Pythagoras theorem,
(299.98)² + (224)² = hypotenuse²
89988 + 50176 = hypotenuse²
Hypotenuse = 140164 = 374.39
Therefore, distance between train X and train Y at 4:05 pm along hypotenuse is 374.39 km.
b) Time taken by train X = 1 h 45 min = 1.75 h
Speed = 106 km/h
Distance = speed * time
Distance = 106 * 1.75
Distance travelled by train X is 185.5 km.
Total distance travelled by X = 299.98 + 185.5 = 485.48 km
Time taken by train Y = 1 h 21 min = 1.35 h
Speed = 128 km
Distance = speed * time
Distance = 128 * 1.35
Distance travelled by train Y is 172.8 km
Total distance travelled by Y = 224 + 172.8 = 396.8 km
By using Pythagoras theorem,
(485.48)² + (396.8)² = hyopotenuse²
235690.84 + 157450.24 = hypotenuse²
393141.08 = hypotenuse²
Hypotenuse = 627.009
Distance between train X and train Y at 5:50pm is 627.009 km.
c) Distance of train X from Evas station = 485.48km
Speed = 142 km/h
Time taken = distance / speed
Time taken = 485.48 / 142
Time taken by train X to reach station is 3.42 h
Distance of train Y from Evas station = 396.8 km
Speed = 128 km/h
Time taken = distance / speed
Time taken = 396.8 / 128
Time taken by train Y to reach station is 3.1 h
Therefore, train Y will arrive station first.
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ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST (also please show how you got answer)
only giving brainlyest for correct answer
The slope of the line is 125.
The slope in the context represent the change in price with respect to the sizes of the houses.
The line won't pass through the point (5, 650)
How to find the slope of a line?The slope of a line is the change in y with respect to change in x.
Therefore,
slope = m = y₂ - y₁ / x₂ - x₁
using (0, 0)(2, 250)
m = 250 - 0 / 2 - 0
m = 250 / 2
Therefore,
m = 125
The slope simply implies the change in price with respect to the change in sizes of the houses.
Using the slope intercept equation we can know if the line passes through (5, 650).
Therefore,
y = 125x + 0
625 = 125(5)
Therefore, the line won't pass through the point (5, 650).
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Solve....3(x+3)=-4x+30
Answer:
x=3
Step-by-step explanation:
Hey there!
In order to solve this equation, we must first distribute the 3
3x + 9 = -4x + 30
Now we combine like terms
7x = 21
Then we divide both sides by 7 to get x by itself
x = 21/7
x = 3
Answer: x=3
Step-by-step explanation:
To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.
3(x+3)=-4x+30 [distribute]
3x+9=-4x+30 [add both sides by 4x]
7x+9=30 [subtract both sides by 9]
7x=21 [divide both sides by 7]
x=3
Therefore, we get x=3.
Solve the given initial-value problem.
y''' − 2y'' + y' = 2 − 24ex + 40e5x, y(0) =
1
2
, y'(0) =
5
2
, y''(0) = −
11
2
the values for the first 3 derivatives derivatives of y are 1/2, 5/2, -11/2 respectively
The given differential equation:
y''' − 2y'' + y' = 2 − 24ex + 40e5x,
y(0) = 1/2, y'(0) = 5/2, y''(0) = −11/2
Therefore, the next solution is 13/2
Differential Equation:
In mathematics, a differential equation is an equation relating one or more unknown functions to their derivatives. In applications, functions usually represent physical quantities, derivatives represent rates of change, and differential equations define the relationship between them. These relationships are common.
Now,
Given differential equation is
y''' - 2y'' +y' = 2- 24eˣ +40e⁵ˣ ------------ (1)
Auxiliary equation is m³ - 2m² +2m = 0
Now,
m(m² - 2m +2) = 0
⇒ m(m-1)² = 0
Therefore, m = 0,1,1
Therefore,
\(y_{c} = c_{1}+ c_{2} e^{x} + c_{2}x e^{x}\)
Now, we have to find the particular solution by method of undetermined coefficient.
\(y'_{y} = a + b(x^{2} e^{x} +2xe^{x} ) +5ce^{x}\)
⇒ \(y''_{p} = a + bx^{2} e^{x} +2bxe^{x} +5ce^{x}\)
⇒ \(y''_{p} = b(x^{2} e^{x} +2xe^{x}) + 2b(ex^{x}+ e^{x} +25ce^{x}\)
⇒ \(y'''_{p} = bx^{2} e^{x} +6bxe^{x} +6be^{x} +125ce^{5x}\)
Putting these values in differential equation (1), we get:
y'''(0) = 13/2
Complete Question:
Solve the given initial-value problem. y''' ? 2y'' + y' = 2 ? 24ex + 40e5x, y(0) = 1 2 , y'(0) = 5/ 2 , y''(0) = ? 13/ 2
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Which expression is equivalent to 9(-3f - 1) - 2f?
Answer:
-29f-9
Step-by-step explanation:
express the recuring decimal 0.004 as a fraction. (simplified fraction) (only the 4 is recurring)
Answer:
1/250
Step-by-step explanation:
Convert the following Celsius degrees to Fahrenheit.
a. 35° C
b. 500° C
c. 10° C
d. 55° C