Answer:
x=20
Step-by-step explanation:
multiply both sides of the equation by 2
x=20
Answer:
20
Step-by-step explanation:
20 divided by 2 is equal to 10
Just multiply 2 by 10 to get the answer
When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the probability that the next game Noah bowls, his score will be between 135 and 167, to the nearest thousandth?
Answer:
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
Step-by-step explanation:
Given that:
Mean = μ = 150
SD = σ = 12
Let x1 be the first data point and x2 the second data point
We have to find the z-scores for both data points
x1 = 135
x2 = 167
So,
[tex]z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25[/tex]
And
[tex]z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}[/tex]
We have to find area to the left of both points then their difference to find the probability.
So,
Area to the left of z1 = 0.1056
Area to the left of z2 = 0.9207
Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151
Hence,
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
System of linear equations:
X+ Y= 2000
10x + 20y = 35000
Can someone explain in words how they would solve this?
Answer:
x= 500 y= 1500
Step-by-step explanation:
Isolate x or y in the first equation
Isolating for x would be x= -y+2000
Substitute X=-y+2000 into equation 10x+20y=35000
10(-y+2000)+20y=35000
Exapnd the equation above and you should get y=1500
Same steps for finding x by isloating for y
Evaluate the expression. (5²+17)÷7
Answer:
6
Step-by-step explanation:
5x5=25
then add 17, 25+17=42
then divide by 7, 47÷7=6
The mean per capita income is 21,604 dollars per annum with a standard deviation of 727 dollars per annum. What is the probability that the sample mean would differ from the true mean by less than 36 dollars if a sample of 193 persons is randomly selected
Answer:
The probability that the sample mean would differ from the true mean by less than 36 dollars is 0.7549.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is:
[tex]\mu=21604\\\sigma=727\\n=193[/tex]
As the sample size is large, i.e. n = 193 > 30 the central limit theorem can be used to approximate the sampling distribution of sample mean per capita income.
Compute the probability that the sample mean would differ from the true mean by less than 36 dollars as follows:
[tex]P(\bar X-\mu<36)=P(\frac{\bar X-\mu}{\sigma_{\bar x}}<\frac{36}{727/\sqrt{193}})\\\\=P(Z<0.69)\\\\=0.7549[/tex]
Thus, the probability that the sample mean would differ from the true mean by less than 36 dollars is 0.7549.
Caitlin drew a scale drawing of the community park in her town. The actual park is 48 feet long. Caitlin's scale drawing is 12 inches long. What scale did Caitlin use to draw the park? 4 inches equal 1 foot 1 inch equals 14 foot 4 inches equal 4 feet 1 inch equals 4 feet
Answer:
The answer is D
Step-by-step explanation:
I took the test and it was 1 inch equals 4 feet :)
The scale is 1 inch equals 4 feet.
what is Scale factor?When both the original dimensions and the new dimensions are known, the scale factor may be determined. When employing the scale factor, there are two terms that must be understood. When a figure's size is increased, we refer to this as scaling up, and when its size is decreased, we refer to this as scaling down.
Given:
Actual length if park = 48 feet
and, Scale drawing length= 12 inch
So, scale be choose be
= 48/ 12
= 4
Hence, the scale is 1 inch equals 4 feet.
Learn more about scale factor here:
https://brainly.com/question/22312172
#SPJ5
Calculate the producers' surplus (in dollars) for the supply equation at the indicated unit price
p.
(Round your answer to the nearest cent.)
p = 7 + 2q1⁄3; p = 20
Answer:
Step-by-step explanation:
Given the equation of the unit price expressed as;
p = 7 + 2q1⁄3, we are to find the value of q when p = 20
20 = 7 + 2q1⁄3
20-7 = 2q/3
13 = 2q/3
Cross multiply
13 * 3 = 2q
39 = 2q
q = 39/2
q = $19.5
Hence the producer surplus is 1950 cents
the circumference of a circle is about 53.38 cm. The radius of the circle is 8.5 cm. Which expression best represents the value of pi?
Answer:
Step-by-step explanation:
Circumference of a circle is expressed as;
C = 2πr
r is the radius of the circle
Given
C = 53.38cm
radius r = 8.5cm
Substitute into the formula to get π
From the formula;
π = C/2r
π = 53.38/2(8.5)
π = 53.38/17
π = 3.14cm
The value of pi is 3.14 cm
Answer:
It's C
Step-by-step explanation:
PLEASE SOMEONE GIVE ME ANSWERS
Answer:
i think its E
Step-by-step explanation:
if you don't know the answer don't write but my page and if you know that answer doing that right any random stuff
Answer:
It would be 993 with a remainder of 6
Step-by-step explanation:
993 x 7 = 6951
6957 - 6951 = 6 remainder
Hoped this helps
Answer:
993 ; Remainder: 6
Step-by-step explanation:
Calculator
The table shows the temperature (y) at different altitudes (x). This is a linear relationship. Find the y−intercept for this relationship.
its just the number under 0 of ur table
Hi please do this answer and please show the (steps) on how you got it. ❤️
Sin Qua Corporation is a company listed on the stock exchange and issues corporate bonds. Which statement is most likely true?
A.
Investors can buy the bonds directly from the government.
B.
Investors will have to pay tax on the interest income received from the bonds.
C.
The bond pays a quarterly dividend at a specified percentage of the investment.
D.
The bond’s price is linked to the company stock price.
E.
The bond’s maturity date is determined by the company’s creditworthiness.
Answer:
B. Investors will have to pay tax on the interest income received from the bonds.
Explanation:
Interest earned from corporate bonds and capital gained through corporate bond transactions is taxable income. The interest earned from a corporate bond is subject to taxation by both the federal and state governments.
The government will not sell sin Qua corporation bonds as it is a public company. Bonds do not pay interest quarterly but rather semi-annually or annually. Again, the maturity of the bond is determined at the time they are issued. Creditworthiness will only affect the bond price but not its maturity period.
Investors will have to pay tax on the interest income received from the bonds is thus the correct statement.
Express in slope form please
Pi times 2444.57 divided by 344.5=?
Answer:
I think 22.2814177
Step-by-step explanation:
I used 3.14 that's what my teachers tell me to use sorry if it's wrong
Answer: 22.2927232313
Step-by-step explanation: *Pi = 3.14159265359
*3.14159265359 x 2444.57 = 7,679.84315319
*7,679.84315319 ÷ 344.5 = 22.2927232313
Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)
3x2-2x+1
I need help on it Asap
Answer:
why have so many tabs lol
Step-by-step explanation:
Which diagram best shows how fraction bars can be used to evaluate ?
Step-by-step explanation:
There is no fraction bars
Jill has $7.85 in dimes and quarters. She has 12 more
quarters than dimes. Write a system of equations that
could represents the situation if D represents the
number of dimes and Q the number of quarters?
she has $7.85 in quarters and dimes
quarters = 25c
dimes = 10c
she has 12 more
so, we know she has AT LEAST 12 quarters
25 x 12 = 300 = $3.00
but we also know its not possible for her to have more dimes quarters
( im not rlly sure what to do, bc you havent given me multiple choices, but i hope this helps )
Given the similar figures below, find the value of x. For your answer, ONLY TYPE IN THE NUMBER. show work
Answer:
[tex] x = 17.5 [/tex]
Step-by-step explanation:
Since the two triangles are similar, their corresponding side lengths would be proportional. Therefore:
[tex] \frac{28}{16} = \frac{x}{10} [/tex]
Cross multiply
[tex] x*16 = 10*28 [/tex]
[tex] 16x = 280 [/tex]
Divide both sides by 16
[tex] x = \frac{280}{16} [/tex]
[tex] x = 17.5 [/tex]
11/10=n/14 Please solve this will give brainliest for the correct answer
[tex]\text{ Hi there! =)}[/tex]
[tex]\large\boxed{n = 15.4}[/tex]
[tex]\frac{11}{10} =\frac{n}{14} \\\\\text{ Cross multiply to solve for n:}\\\\11 * 14 = 10 * n\\\\154 = 10n\\\\n = 15.4[/tex]
please answer as fast as possible see the image below
Answer:
145
Step-by-step explanation:
Find the perimeter of the base
5*4=20
Find the surface area of the base
5*5=25
T.S.A.=[tex]\frac{1}{2}[/tex](20)(6)+25 = 145
Answer:
85 ft²Step-by-step explanation:
surface area of a square pyramid
= Area of base + 1/2 base perimeter * slant height
= (5 x 5) + (1/2 x (5x4) x 6)
= 25 + 60
= 85 ft²
Can we predict how fast a tennis player can hit a serve from the playerâs height? The following computer output and scatterplot describe the regression of fastest serve speed (in kilometers per hour) and the height (in meters) of 21 current male professional tennis players.
a. Describe the relationship between height and fastest serve speed for these tennis players.
b. Write the equation of the least-squares regression line. Define any variables used.
c. Interpret the value "R-sq = 27.7%".
d. What is the slope of the least-squares regression line? Interpret this value.
e. Predict the fastest serve of a professional tennis player whose is 1.7 meters tall. Comment on the reliability of this prediction.
f. What is the value of the correlation between height and fastest serve speed? Interpret this value.
g. Calculate the residual for the player that is 2.06 meters tall and has a fastest serve speed of 230 km/hr. Interpret this value.
Complete question :
The computer output and scatter plot output pertaining to the question can be found in the attached picture.
Answer:
Kindly check explanation
Step-by-step explanation:
A.) Relationship between height and fastest serve speed :
According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²
R = √27.7%
R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed
B.)
Equation of least square regression line :
From the computer output and scatter plot above :
Recall :
y = mx + c
y =predicted variable (s fastest serve)
m= slope
x = predictor variable (height)
c = intercept
y = 84.98x + 68.81
C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables
D.) fastest serve of tennis player with height 1.7m
y = 84.98x + 68.81
y = 84.98(1.7) + 68.81
y = 213.276km/hr
E.)
R = √27.7%
R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed
F.)
Height = 2.06m = x
y = 84.98(2.06) + 68.81
y = 243.8688 km/hr
Residual = Actual - predicted
Actual = 230 ; predicted = 243.8688
Residual = 230 - 243.8688
Residual = −13.8688
Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr
PLEASE READ PHOTO thank u
Answer:8
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. A city water tank holds 20 gallons of water. A technician empties 25% of the tank. How many more gallons of water must be removed from the tank so that it has 2/5 of the water that it started with? The technician must remove _____ more gallons of water for the tank to have 2/5 of the water that it started with.
Answer:
the answer is seven:7
Step-by-step explanation:
i got it right
Answer:
7
Step-by-step explanation:
I took the test before
Please help me 15 points
Answer:
1 Solution
Step-by-step explanation:
A basketball team played six games. In those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and won by 9. What is the mean amount by which the team won or lost over the six games?
Answer:
2
Step-by-step explanation:
Match the following.
1. fractions that may be expressed differently, but still have the same value
mixed
number
2. consists of an integer and a proper fraction
denominator
3. a fraction with a numerator that is larger than or equal to the denominator
proper fraction
4. the bottom part of a fraction; represents the whole
equivalent fractions
5. the top part of a fraction; represents part of the whole
improper fraction
6. a fraction with a numerator that is less than the denominator
numerator
Answers:
the answers are...
1.) equivalent fractions
2.) mixed number
3.) improper fraction
4.) denominator
5.) numerator
6.) proper fraction
look at the screenshot!!
hope this helps :)
Answer:
1. Fractions that may be expressed differently, but still have the same value
→Equivalent fractions
2. Consists of an integer and a proper fraction
→Mixed number
3. A fraction with a numerator that is larger than or equal to the denominator
→Improper fraction
4. The bottom part of a fraction; represents the whole
→Denominator
5. The top part of a fraction; represents part of the whole
→Numerator
6. A fraction with a numerator that is less than the denominator
→Proper fraction
John has earned a 77, 76, and 84 on his first three projects of the semester. If he hopes to have an B quiz average (80 or above), what is the lowest score John can make on his fourth and final project?
Step-by-step explanation:
John has earned a 77, 76, and 84 on his first three projects of the semester.
He hopes to have an B quiz average (80 or above).
We need to find the lowest score John can make on his fourth and final project. Let the score is x.
Average = sum of numbers/total numbers
[tex]80=\dfrac{77+76+84+x}{4}\\\\320=237+x\\\\x=83[/tex]
So, he must score 83 or more on his fourth project so as to make average 80 re above.
A city in Virginia averages 12 inches von
each year in 2016, the amount or
was 140996 the average, How many ches
of rain fall that years
A.52.4
B.56.2
C.58.8
D.54.8
HELP PLEASE!
A local little league has a total of 80 players, of whom 20% are left-handed. How many
left-handed players are there?
Answer:
There are 16 left-handed players.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made?
Answer:
The artifact was made approximately 13,306 years ago
Step-by-step explanation:
The half-life of Carbon-14 = 5730 years
The formula for radioactive decay is given by the equation:
[tex]N=N_0 e^{- \lambda t}\\where:\\N = Number\ of\ particles\ at\ time\ t\\N_0= Number\ of\ particles\ at\ time\ t_0\\\lambda = decay\ constant = \frac{In}{t_{1/2}} ; t_{1/2} = half-life\\t = time\ in\ years[/tex]
The amount of Carbon-14 left = 20% = 20/100 = 0.2
[tex]\therefore \frac{N}{N_0} = 20 \% = 0.2[/tex]
[tex]N=N_0 e^{- \lambda t}\\\\dividing\ both\ sides\ by\ N_0\\\frac{N}{N_0} = e^{- \lambda t}\\0.2 = e^{- \lambda t}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.2 = Ine^{- \lambda t}\\In0.2 = -\lambda \times t\\but\ \lambda = \frac{In2}{t_{1/2}} \\\therefore In0.2 = -\lambda \times t\\\\= In0.2 = - \frac{In2}{t_{1/2}} \times t\\where\ t_{1/2} = 5730\ years\\-1.6094 = - \frac{0.6931}{5730} \times t\\-1.6094 = - 0.00012095 \times t\\t = \frac{-1.6094}{-0.00012095} \\t = 13,306.32[/tex]
t ≈ 13,306 years