Answer:
From (2, 1) move up one and over four
what is 9+2 I WILL MARK BRAINIEST
Answer:
11 ! have a great dayy:) !
5 cooks, 13 waiters and 4 other staff work at a restaurant. What is the ratio of cooks to waiters to other staff?
Answer:
1:4:1.5
Step-by-step explanation:
2x - 3y = -14
5x + 9y = -2
Step-by-step explanation:
2x-3y= -14
5x+9y= -2
multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.
➡️when you multiply,it will be
10x-15y= -70
-10x-18y= 4
cancel out each x value,then you get
-15y-18y= -70+4
-33y= -66, divide each side by -33 to get the value of y
⚪️y= 2
➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x
2x-3(2)= -14
2x-6= -14
2x= -14+6
2x= -8 divide both side by 2
⚪️x= -4
so the answer is (-4,2)
) The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability to apply it in everyday life to a sample of 840 men 21 to 25 years of age. Scores range from 0 to 500; for example, someone with a score of 325 can determine the price of a meal from a menu. The mean score for these 840 young men was x⎯⎯⎯ = 272. We want to estimate the mean score μ in the population of all young men. Consider the NAEP sample as an SRS from a Normal population with standard deviation σ = 60. (a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution? (b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number? (c) What is the 95% confidence interval for the population mean score μ based on this one sample? Note: Use the 68-95-99.7 rule to find the interval.
Answer:
a) The standard deviation of this sampling distribution is 2.07.
b) The missing number is 4.14.
c) The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.
Step-by-step explanation:
To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
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.
In this question:
[tex]\mu = 272, n = 840, \sigma = 60[/tex]
(a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution?
Using the Central Limit Theorem:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{60}{\sqrt{840}} = 2.07[/tex]
The standard deviation of this sampling distribution is 2.07.
(b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number?
Within 2 standard deviations of the mean.
So, 2*2.07 = 4.14
The missing number is 4.14.
(c) What is the 95% confidence interval for the population mean score μ based on this one sample?
Within 4.14 of the mean
272 - 4.14 = 267.86
272 + 4.14 = 276.14
The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.
Can someone HELP ME please!!?
I WILL GIVE BRAINLIST IF SOMEONE ANSWAR CORRECTLY WITH EXPLINATION
Answer:
x=0,5
Step-by-step explanation:
x = 3/2 , -1
y= 4/3 , -1/3
You roll a 6-sided die.
What is P(even)?
Write your answer as a percentage.
43=0.34x+19.5
What is x
Step-by-step explanation:
43=0.34x+19.5
=> 0.34x+19.5 = 43
=> 0.34x = 43 - 19.5
= 23.5
[tex] = > x = \frac{23.5}{0.34} [/tex]
=> x = 69.117 (Ans)
You hike 165 meters up a hill that has a 17 degree angle of elevation as shown in the diagram.
Give each side and angle measure rounded to the nearest whole number.
a=
b=
m∠B=
Answer:
a.) 48m
b.) 158m
m<B.) 73 degrees
Step-by-step explanation:
Angle 1 and angle 2 are supplementary. angle 1 measures 3x and angle 2 measures 2x + 10. what does x equal?
Step-by-step explanation:
3x+2x+10=180
5x+10=180
5x=170
x=34
so the value of x is 34
The value of x is 34.
Here,
Angle 1 and angle 2 are supplementary.
And, angle 1 measures 3x and angle 2 measures 2x + 10.
We have to find the value of x.
What is Supplementary angle?
Supplementary angles are those angles that sum up to 180 degrees.
Now,
Angle 1 and angle 2 are supplementary.
⇒ ∠1 + ∠2 = 180°
And, angle 1 measures 3x and angle 2 measures 2x + 10.
⇒ 3x + 2x + 10 = 180
⇒ 5x + 10 = 180
⇒ 5x = 170
⇒ x = 34
Hence, The value of x is 34.
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x = 6y – 14
-X + 9y = 17
after substitution :
-6y + 14+ 9y = 17
= 14 + 3y = 17
by subtracting 14 :
3y = 3
by dividing over 3 :
y = 1
after substitution:
x = 6 * 1 - 14 = 6 - 14 = -8
x = -8
A chef is making chicken noodle soup. The recipe calls for 1/4 cup of celery for each bowl of soup. If the chef has 9 1/2 cups of celery, how many bowls of soup can be made?
Answer:
Step-by-step explanation:9 1/2 cups / (1/4 cups/bowl) = 19/2 cups x 4 bowls/cup = 76/2 bowls = 38 bowls. QED.
Dion builds a pattern that is represented by the equation b equals 2 F + 6 where f is the figure number of the pattern and B is the number of blocks in each figure. How many blocks are needed to make the 9th figure in the pattern?
9514 1404 393
Answer:
24
Step-by-step explanation:
Using 9 as the figure number, Dion's equation tells us there are ...
2(9) +6 = 18 +6 = 24 blocks in figure 9
Mark buys 3 2/5 pounds of apples. He uses 2/3 of the apples in a recipe. Which of the following expressions can be used to find the number of pounds of apples that Mark uses? A: 2/3 + 2/3 + 2/3 + 2/5 B: 2/3 x 17 3 x 5 C: 2/3 x 6/5 D: 2/3 x 3 + 2/3 x 2/5
Answer:
b
Step-by-step explanation:
jayfeather friend me
The area oc an isoceles triangle is 44 square centimeters. Use the equation 1/2(8h)=44 to find the height of fhe triangle.
Heather knit a scarf for each of her 4 friends. Altogether, the scarves had a
total length of 27.6 ft. If each scarf was the same length, how long was each
scarf? Correct
Answer:
6.9 feet
Step-by-step explanation:
You can get this by dividing 27.6 by 4
then can check your answer by multiplying 4 by 6.9
what is 2m + 2 =8? i have been wondering about this question alot
Answer:
Her u are asked to find the value of 'm'
We can do it by transposing values from LHS to RHS
Thus it will go like this
2m=8-2
2m=6
m=6/2
m=3
Answer:
2m=8-2
2m=6
m=6/2
m=3
Which statement is NOT true in the equation y = 9x?
The value of y is 9 times the value of x.
The equation represents an additive relationship.
The value of y is 45 when the value of x is 5.
The equation represents a multiplicative relationship.
Answer:
dhdbdudbdudbdne d ieh eue
Answer: the equation represents an addictive relationship
Step-by-step explanation:
The type of triangle is .............angled triangle
70
50
A) Acute
B) Obtuse
C) Right
Ο Α
Ов
Ос
Answer:
Step-by-step explanation:
If Alan read 204 pages in6 hours, how many pages would you expect him
to read in 11 hours?
Answer:
374 Pages
Step-by-step explanation:
First find the unit rate. 204/6=34 pages per hour.
34*11=374
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A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
How high off the ground is the top of the monument?
Please help
Answer:
65 meters
Step-by-step explanation:
The height of the monument off the ground = x + 5
Find x using Pythagorean Theorem:
x = √(61² - 11²)
x = √3,600
x = 60 meters
Height of the monument off the ground = x + 5 = 60 + 5 = 65 meters
Answer: 65
Word Problem: A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
Question: How high off the ground is the top of the monument?
X+7y=0
X+4y=8
Solve the equation
Answer:
1.x=-7y
2.x=8-4y
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mrs. Baker found 25 shells on the beach. She brought 2/5 of the shells to her
classroom. The rest of the shells she set on a bookshelf at her house. How many
shells did she bring to schoof? How many shells are at her house? (Show your work
on another sheet of paper if necessary.)
Answer:
A. 10 B. 15
Step-by-step explanation:
A. 25/1 * 2/5= 50/5
reduced it is 10
B. 25-10=15
Answer:
she brought 10 shells to her classroom and 15 shells to her house. Hope that helps!
A ramp is propped against the back of a truck. There is a 30 degree
angle between the ramp and the horizontal pavement
If the distance along the ground from the end of the ramp to the point
on the ground below the back of the truck is 9 feet, how long is the
ramp, in feet? Round your answer to the nearest whole number,
Step-by-step explanation:
hope it help:)
/////////////////////
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the ramp is equal to 10ft.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The length of the ramp is,
Cos(θ) = Base/Hypotenuse
Cos(30°) = 9ft /The length of the ramp
The length of the ramp = 9ft/Cos(30°)
Length of the ramp = 10.3923 ft ≈ 10ft
Hence, the length of the ramp is equal to 10ft.
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h(t)=(49+4.9t)(10-t) solve for t
Answer:
t = ±10
Step-by-step explanation:
after using the FOIL method you have the following:
490 + 49t - 49t - 4.9t²
middle two terms zero out
h(t)= -4.9t² + 490
if you multiply by -10 you can get perfect squares
h(t) = 49t² - 4900 which has two factors: (7t + 70)(7t - 70)
now set each factor equal to zero and solve:
7t + 70 = 0
7t = -70
t = -10
7t - 70 = 0
7t = 70
t = 10
oliver tries to cut a piece of metal 30 centimeters long the metal ends up being 29.4 centimeters long what is the percent error in this situation? , please tell me how you got the answer. Will give brainliest
Answer:
I'd say its 1.02% but don't quote me on that
Step-by-step explanation:
The percent error in the given situation is 2%. Therefore, option C is the correct answer.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Oliver tries to cut a piece of metal 30 centimeters long the metal ends up being 29.4 centimeters long.
Difference in number =30-29.4
= 0.6
Now, percent error = 0.6/29.4 ×100
= 2.04%
≈ 2%
The percent error in the given situation is 2%. Therefore, option C is the correct answer.
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At the end of a 10-year loan, $13,570 had been paid in interest. If the initial loan amount was $23,000, find the interest rate
Answer:
5.9%
Step-by-step explanation:
A publisher reports that 40% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 200 found that 31% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
[tex]p-value = 0.9953[/tex]
Step-by-step explanation:
Given
[tex]P = 40\%[/tex] --- proportion of population
[tex]n = 200[/tex] -- samples
[tex]p = 31\%[/tex] -- proportion of samples
Required
Determine the p value
First, calculate the standard deviation ([tex]\sigma[/tex])
[tex]\sigma = \sqrt{\frac{P*(1 - P)}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{40\%*(1 - 40\%)}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.40*(1 - 0.40)}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.40*0.60}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.24}{200}}[/tex]
[tex]\sigma = \sqrt{0.0012}[/tex]
[tex]\sigma = 0.0346[/tex]
Next, we calculate the z score
[tex]z = \frac{p - P}{\sigma}[/tex]
[tex]z = \frac{40\% - 31\%}{0.0346}[/tex]
[tex]z = \frac{9\%}{0.0346}[/tex]
[tex]z = \frac{0.09}{0.0346}[/tex]
[tex]z = 2.6012[/tex]
[tex]z \approx 2.60[/tex]
From the z table, the p value of [tex]z = 2.60[/tex] is: 0.9953
Hence:
[tex]p-value = 0.9953[/tex]
*) How is the sign of 18(–24)(-5)(-101)(-7) determined?
Complete the statement.
?
because there is an
number of
v
) The product is ?
negative factors.
Answer:
The first ? is positive, second ? is even.
Step-by-step explanation:
There is 4 negative factors. 4 is an even number. When there is an even amount of negative factors, the anwser is always even.
The complete statement is;
The product is Positive because there is an even number of negative factors.
Here;
The mathematical expression is,
18 (–24) (- 5) (-101) (- 7)
We have to complete the statement.
What is Product of number with negative sign?
If the number of negative factor is odd then sign of product is negative and if the number of negative factor is even then sign of product is positive.
Now,
The mathematical expression is,
18 (–24) (- 5) (-101) (- 7)
Value of 18 (–24) (- 5) (-101) (- 7) = 1,527,120
Hence, The product is Positive because there is an even number of negative factors.
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On a map, the scale is 1 inch to 400 miles. If the
trip from Corpus Christi to El Paso is 600 miles,
how far apart will those cities appear on the map
(in inches)?
Answer:
B. 1.5 inches
Step-by-step explanation:
600/400=3/2=1.5