Answer:
retirement plan deduction of $41.50. 19.725 divided by 2.5. 6.8 x 78.9. 593.84 divided by 1.3.
Step-by-step explanation:
Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is ituntil your cost is the same as Plan A's?
Answer:
7.8 months but you can round it to 8 months
Step-by-step explanation:
Find the unknown number 3m = 0.27
Answer: 0.09
Step-by-step explanation:
Divide 0.27 by 3
M=.09
Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram.
Answer/Step-by-step explanation:
As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.
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Choose the number equal to:
2/3÷(-3).
A) -2
B)-2/9
C)2/9
D)2
Answer:
B) -2/9
Step-by-step explanation:
2/3 ÷ -3 = 2/3 * 1/-3
2*1 / -3*3
2/-9
-2/9
Do the following conditions make a unique triangle, more than one triangle or no triangle possible
Answer:
No triangle possible
Step-by-step explanation:
The one side is to short to make a triangle
(3х — у = 2
(x+2y = 3
if someone can help me with solving with system of elimination please that would be amazing
Answer:
x=1 y=1
Step-by-step explanation:
You want to chose either x or y to cancel out of both equations. I chose y, so I multiplied the entire equation of 3x-y=2 by 2 to get 6x-2y=4
6x-2y=4
x+2y=3
The -2y and 2y cancel each other out, the 6x and x can be added, and the 4 and 3 can be added.
7x=7
x=1
Now that we know x=1, plug in x to one of the original equation.
1+2y=3
2y=2
y=1
Geologists recorded the duration (in seconds) of over 500 recent eruptions of the Old Faithful geyser in
Yellowstone National Park. Here's a histogram showing the distribution of their data:
= 210
0.26
0.22
0.18
0.15
Relative frequency
0.11
0.07
0.04
0.00
75
300
150 225
Duration (seconds)
Suppose that we were to take random samples of 30 eruptions from this population and calculate į as the
sample mean duration of the eruptions in each sample.
Which graph shows the most reasonable approximation of the sampling distribution of ?
Answer: C (A unimodal histogram, and the dotted line lands at 210)
Step-by-step explanation:
Khan Academy - “The sample size is reasonably large (n = 30 _> 30), so the sampling distribution of x will be approximately normal even though the population isn’t.”
solve the system of linear equations by elimination. 6x-4y=18 3x+2y=-3
Answer:
y = -3
x = 1
Step-by-step explanation:
6x-4y=18
3x+2y=-3, so 3x = -2y - 3, then x = (-2y - 3)/3
substitute for x:
6((-2y - 3)/3) - 4y = 18
2(-2y - 3) - 4y = 18
-4y - 6 - 4y = 18
-8y - 6 = 18
-8y = 24
y = -3
x = (-2(-3) -3)/3 = 1
I need assistance if anyone would be so kind.
In ΔQRS, s = 2.3 inches, ∠S=51° and ∠Q=44°. Find the area of ΔQRS, to the nearest 10th of an square inch.
Answer:
Area of ΔQRS = 2.3 square inches
Step-by-step explanation:
From the given information,
<S + <Q + <R = [tex]180^{o}[/tex]
51 + 44 + <R = [tex]180^{o}[/tex]
95 + <R = [tex]180^{o}[/tex]
<R = [tex]180^{o}[/tex] - 95
= [tex]85^{o}[/tex]
<R = [tex]85^{o}[/tex]
Applying the Sine rule, we have;
[tex]\frac{q}{SinQ}[/tex] = [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]
Using [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]
[tex]\frac{r}{Sin 85}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]
r = [tex]\frac{2.3*Sin85}{sin51}[/tex]
= 2.9483
r = 2.9 inches
Also, [tex]\frac{q}{SinQ}[/tex] = [tex]\frac{s}{SinS}[/tex]
[tex]\frac{q}{Sin44}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]
q = [tex]\frac{2.3*Sin44}{Sin51}[/tex]
= 2.0559
q = 2.0 inches
From Herons formula,
Area of a triangle = [tex]\sqrt{s(s-q)(s-r)(s-s)}[/tex]
s = [tex]\frac{2.3 + 2.0 + 2.9}{2}[/tex]
= 3.6
Area of ΔQRS = [tex]\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}[/tex]
= 2.2895
Area of ΔQRS = 2.3 square inches
Answer:
2.4
Step-by-step explanation:
800:2 in the simplest form
Answer:
400:1
Step-by-step explanation:
800:2
800/2:2/2
400:1
Which is more 4 inches or 1 foot
Answer: 1 foot
Step-by-step explanation:
because 1 foot is equivalent to 12 inches
Brainliest for both correct answers
Answer:
Question 1: A
Question 2: D
Step-by-step explanation:
I hope it helps
convert 320% to an equivalent decimal.
Answer:
Answer is 3.2
Step-by-step explanation: you can take any percent and divide it by 100. So in this example you would divide 320/100 and it will give you 3.2
c. Translate the follom
4.) 51 - (x+5)
5.) 3(7-8)
Step-by-step explanation:
1. 51-x-5
= 46-x Answer
2. 21-24
= -3 Answer
5th grade math. correct answer will be marked brainliest
Answer:
8
Step-by-step explanation:
4/5 of 10 is 8
4/5*10
Answer:
zack has 8 stamps.
Step-by-step explanation:
total stamps: 10
fifths: 10 divided by 5 = 2
so each part is worth 2 stamps.
so now : 2 x 4 = 8
therefore 8 is answer.
im not wrong
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now mark me brainlist please.
hope it helps.
Theresa buys 62 stickers. She gives 6 stickers to her little sister. Theresa then splits the remaining stickers evenly across 8 pages of her album. How many stickers does Theresa put on each page?
Answer:
7 stickers on each page.
Step-by-step explanation:
We start with 62 stickers.
Then we give 6 to the little sister, so we subtract 6 from 62.
62-6=56
Then we divide the remaining 56 stickers evenly across 8 pages.
56/8=7
7 stickers on each page.
Jessica is making a cake. The recipe calls for 2 3/4 cups of flour. She only has a measuring cup that holds 1/4 cup. Explain how she can use the measuring cup that holds 1/4 cup to measure 2 3/4 cups of flour.
Answer: Jessica can use her measuring cup 11 times.
(hope this helps!)
The article " Inconsistent Health Perceptions for US Women and Men with Diabetes" presents results of a survey of adults with diabetes. The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6. The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2. Find a 99% confidence interval for the difference between the mean weights.
Answer:
The 99% confidence level (-0.741, -0.659).
Step-by-step explanation:
The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6.
The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2.
Find a 99% confidence interval for the difference between the mean weights..
The formula for 99% Confidence Interval for difference between the mean weights =
μ is the population mean, and σ is the population standard deviation.
μ1 - μ2 ± z × √σ²1/n1 + σ²2/n2
The z score for 99% confidence interval = 2.576
30.4 - 31.1 ± 2.576 × √0.6²/1559 + 0.2²/1924
-0.7 ± 2.576 × √0.36/1559 + 0.04/1924
-0.7 ± 2.576 × √0.0002309173 + 0.00002079
-0.7 ± 2.576 ×√0.0002517073
-0.7 ± 2.576 × 0.015865286
-0.7 ± 0.04086897674
Hence, the 99% Confidence Interval is
-0.7 - 0.04086897674
= -0.74086897674
≈ -0.741
-0.7 + 0.04086897674
=-0.65913102326
≈ -0.659
Therefore, the 99% confidence level (-0.741, -0.659).
Which number has the least value?
A 7.078
B 7.708
C 7.807
D 7.007
Answer: D
Step-by-step explanation: It has the least value in the hundredths and thousandths place, so it is D.
guys help asap plsss!
Given:
The triangle ABC rotated 270 degrees clockwise.
The rule of rotation is
[tex](x,y)\to (-y,x)[/tex]
To find:
The coordinates of point B after the given rotation.
Solution:
From the given graph, it is clear that the coordinates of point B are (4,4).
The given rule of rotation is:
[tex](x,y)\to (-y,x)[/tex]
Using this rule, we get
[tex]B(4,4)\to B'(-4,4)[/tex]
The coordinates of point B after the given rotation are (-4,4).
Therefore, the correct option is C.
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with mean 376 minutes and standard deviation 67 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with mean 520 minutes and standard deviation 110 minutes. A researcher records the minutes of activity for an SRS of 7 mildly obese people and an SRS of 7 lean people.
A) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes?
B) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?
Answer:
a) 0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes
b) 0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mildly obese:
Mean 376 minutes and standard deviation 67 minutes, which means that [tex]\mu = 376, \sigma = 67[/tex]
Sample of 6
This means that [tex]n = 6, s = \frac{67}{\sqrt{6}} = 27.35[/tex]
Lean
Mean 520 minutes and standard deviation 110 minutes, which means that [tex]\mu = 520, \sigma = 110[/tex]
Sample of 6
[tex]n = 6, s = \frac{110}{\sqrt{6}} = 44.91[/tex]
A) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes?
This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for mildly obese people. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{420 - 376}{27.35}[/tex]
[tex]Z = 1.61[/tex]
[tex]Z = 1.61[/tex] has a pvalue of 0.9463
1 - 0.9463 = 0.0537
0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes.
B) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?
This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for lean people. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{420 - 520}{44.91}[/tex]
[tex]Z = -2.23[/tex]
[tex]Z = -2.23[/tex] has a pvalue of 0.0129
1 - 0.0129 = 0.9871
0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes
Suppose that sand is falling to form a circular cone whose radius and height are the same, as in the picture. Suppose that twenty cubic meters of sand falls every minute, so that the volume of the cone of sand is increasing at the rate of 20 m3/min. When the cone of sand is ten meters high, what is the at which the height of the cone is increasing (in meters per minute)
A wheelchair ramp is being built for entrance to a portable classroom. If the ramp has a slope of
1/12 and has a horizontal length of 5 m, what is its height to the nearest tenth of a metre?
a1.1 m
c. 0.4 m
b. 0.8 m
d. 0.3 m
Answer: A
Step-by-step explanation: Because you multiple 5m by 1/12?
If the ramp has a slope of [tex]\frac{1}{12}[/tex] and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be [tex]0.4 \ m[/tex] .
What is slope ?Numerical measure of a line's inclination relative to the horizontal. The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
i.e. Slope [tex]m = \frac{\text{rise}}{\text{Length}}= \frac{H}{L}[/tex]
We have,
The ramp has a slope of [tex]\frac{1}{12}[/tex],
Horizontal length of [tex]5m[/tex]
Height of ramp [tex]=x[/tex]
So,
Slope [tex]=\frac{H}{L} = \frac{1}{12}[/tex]
[tex]\frac{H}{5} =\frac{1}{12}[/tex]
[tex]H=\frac{5}{12}[/tex]
[tex]H=0.4 \ m[/tex]
So, the Height of the ramp is [tex]0.4 \ m[/tex] .
Hence, we can say that if the ramp has a slope of [tex]\frac{1}{12}[/tex] and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be [tex]0.4 \ m[/tex] .
To know more about slope click here
https://brainly.com/question/1905613
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what does any order grouping mean when adding expressions
Which properties are used?
Answer:
To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)
6 times 10 to the power of -10 Normal numbers
Answer:
0.0000000006
Step-by-step explanation:
6* 10^-10= 0.0000000006
basically think of it as moving the decimal back 10 times.
40 pts!
Find the area of the purple sector of the circle with a given radius of 5 units.
Use pi = 3.14 and round to the nearest hundredth.
Answer:
13.08
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = 3.14 * 5^2
A =3.14 *25
A =78.5
The angle of the purple sector is 60 degrees
A full circle is 360 degrees
The fraction of the circle that is purple is 60/360 = 1/6
Multiply the area of the circle by 1/6
1/6* 78.5 =13.0833333
Rounding to the nearest hundredth
13.08
Answer:
given
radius [r]=5units
area of purple sector :=60/360×πr²=1/6×π×5²=13.08unit squared
4.09434456 rounded to the nearest thousand
Answer:
4.094
Step-by-step explanation:
in our thousandths spot is the 4 4.094, in our ten-thousandths spot is the 3 4.0943, so we do not add one, so our final answer is 4.094