Step-by-step explanation:
As we know corresponding angles are equal so
6x - 100° = 2x + 4° < being corresponding angles>
6x - 2x = 100 ° + 4°
4x = 104°
x = 104° / 4
x = 26°
Hope it will help :)❤
an emergency room nurse believes the number of upper respiratory infections is on the rise. the emergency room nurse would like to test the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases. using the computed test statistic of 2.50 and the critical value of 2.33, is there enough evidence for the emergency room nurse to reject the null hypothesis?
To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.
In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.
Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.
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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.
Explanation:Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.
It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.
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Two neighbors in a rural area want to know the distance between their homes in miles. What should the neighbors use as a conversion factor to convert this distance to miles ?
Answer:
1 foot = 0.000189394 miles
Step-by-step explanation:
The two neighbors in the rural community could measure the distance between their homes first in feet. So that the value in feet can now be converted to miles by multiplying it by 0.000189394.
Since,
1 foot = 0.000189394 miles
Let us assume that the distance between the two houses is 500 feet, then;
1 foot = 0.000189394 miles
500 feet = x miles
x = 500 x 0.000189394
= 0.094697
So that for the considered example, the distance is approximately 0.095 miles.
Thus, the required conversion factor is;
1 foot = 0.000189394 miles
Calculate the average rate of change for the function
\(slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2(x-2)^2+1\qquad \begin{cases} x_1=-2\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-2)}{4-(-2)} \\\\\\ \cfrac{[2(4-2)^2+1]~~ - ~~[2(-2-2)^2+1]}{4+2}\implies \cfrac{[9]~~ - ~~[33]}{6}\implies \cfrac{-24}{6}\implies -4\)
evaluate the expression m + p for m = 9 and p =7
Answer:
16
Step-by-step explanation:
Step 1: Write out expression
m + p
Step 2: Define variables
m = 9
p = 7
Step 3: Plug in variables
9 + 7
Step 4: Evaluate
16
consider the results of a poll where 48% of 331 americans who decide to not go to college do so because they cannot afford it. calculate a 90% confidence interval for the proportion of americans who decide to not go to college because they cannot afford it.
The 90% confidence interval for the proportion of Americans who decide not to go to college because they cannot afford it can be calculated using a statistical formula. The formula for a confidence interval is: CI = p ± zsqrt((p(1-p))/n)
Where CI is the confidence interval, p is the proportion of interest (in this case, 0.48 or 48%), and z is the critical value from the standard normal distribution for the desired level of confidence (in this case, 1.645 for 90% confidence), sqrt is the square root function, and n is the sample size (in this case, 331).
Plugging in the values, we get:
CI = 0.48 ± 1.645sqrt((0.48(1-0.48))/331)
CI = 0.48 ± 0.062
Thus, the 90% confidence interval for the proportion of Americans who decide not to go to college because they cannot afford it is (0.418, 0.542). This means that we can be 90% confident that the true proportion of Americans who decide not to go to college because they cannot afford it falls between 41.8% and 54.2%.
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12 nights camp accommodation costs #6720. What will be the cost of a)7 nights number b)4 nights
EXPLANATION :
The cost of a 12 nights camp accommodation is 6720.
We need to divide the cost by 12 to get the cost per day.
\(6720\div12=560\)Now, we are asked to find the cost of 7 nights and 4 nights.
We just need to multiply the daily rate by the number of nights.
a. 7 nights :
7 x 560 = 3920
b. 4 nights :
4 x 560 = 2240
ANSWER :
a. 3920
b. 2240
find the derivative of the function g(x) = (x^2 - x +
1)^10.(tanx)^3.
The derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).
To find the derivative of the given function g(x), we can apply the product rule and the chain rule. Let's break down the function into its constituent parts: f(x) = (x² - x + 1\()^1^0\) and h(x) = (tan(x))³.
Using the product rule, the derivative of g(x) can be calculated as g'(x) = f'(x) * h(x) + f(x) * h'(x).
First, let's find f'(x). We have f(x) = (x² - x + 1\()^1^0\), which is a composite function. Applying the chain rule, f'(x) = 10(x² - x + 1\()^9\) * (2x - 1).
Next, let's determine h'(x). We have h(x) = (tan(x))³. Applying the chain rule, h'(x) = 3(tan(x))² * sec²(x).
Now, we substitute these derivatives back into the product rule formula:
g'(x) = f'(x) * h(x) + f(x) * h'(x)
= 10(x² - x + 1)² * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\)* (tan(x))² * sec²(x).
In summary, the derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).
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Gregory forms two different numbers with the digits 1, 2, 3, 4, 5, and 6. Both numbers have 3 digits, and each digit is used only once. If he adds these two numbers, what is the greatest sum Gregory can get?
When Gregory adds these two numbers, the greatest sum Gregory can get will be 975.
What is the number that will be gotten?From the information, Gregory forms two different numbers with the digits 1, 2, 3, 4, 5, and 6. Both numbers have 3 digits, and each digit is used only once. If he adds these two numbers, what is the greatest sum Gregory can get?
The greatest 3-digit number that can be formed with the digits 1, 2, 3, 4, 5, and 6 is 654 and the smallest is 123. If Gregory forms these two numbers, the sum of these numbers is 654 + 321 = 975, which is the greatest sum he can get.
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Answer:975
Step-by-step explanation:
uyygu
48 > 6x
plz help me need fo a test
Answer:
6*7 or anything lower so 6, 5, 4, 3, 2, and 1 and these would mean that 48>6x any of those numbers would make it true
Step-by-step explanation:
Answer:
The inequality for x is x<8
There you go
Step-by-step explanation:
equation of the circle centered at the origin and passing through the point equation of the circle centered at the origin and passing through the point (-4,0)
The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).
Equation of a circle
A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.
We know that,
Equation of the circle passing through the origin is given by:-
\(x^2+y^2=r^2\)
Where,
r is the radius of the circle, and
(x,y) are the coordinates of each point of the circle.
Hence, we can write,
The radius of the circle will be :-
\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)
Hence, r = 4 units.
Hence, the equation of the circle is given by:-
\(x^2+y^2=16\)
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Under her cell phone plan, Jocelyn pays a flat cost of $35 per month and $5 per gigabyte. She wants to keep her bill under $55 per month. Use the drop-down menu below to write an inequality representing gg, the number of gigabytes she can use while staying within her budget.
how do we solve this
Reese is selling lemonade at the parade. He gets to keep 10% of the money he collects. A large lemonade is $5.00 and a small lemonade is $2.00.
step by step PLease
Answer:
well the way I got taught was
do the $5.00/10=.50cents thats ten percent of the profet for one large drink
and for $2.00/10=.20cents thats ten percent of the profet for one small drink
hope this helps you
Step-by-step explanation:
Answer:
$0.70 is how much he keeps
Step-by-step explanation:
Calculate the value of x for the figure below
Answer:
x= 5
Step-by-step explanation:
image attached.
hope it helps!
Solving quadratic equations using the quadratic formula.
Answer:
what is there supposed to be a picture
Answer:
Down Here ↓↓↓
Step-by-step explanation:
Hello!
Standard Form of a Quadratic: \(ax^2 + bx +c\)
Quadratic Formula: \(x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}\)
To solve a quadratic using the quadratic formula, you have to plug values in for "a", "b", and "c" into the quadratic equation. Let's go over an example question.
Question: \(2x^2 +4x+2\)
Solution:
Determine the values of "a", "b", and "c".
a = 2b = 4c = 2Plug it into the quadratic equation to solve.
Solve:
\(x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}\)\(x = \frac{-(4) \pm\sqrt{(4)^2-4(2)(2)}}{2(2)}\)\(x = \frac{-4 \pm\sqrt{16 - 16}}{4}\)\(x = \frac{-4 \pm\sqrt{0}}{4}\)\(x = \frac{-4}{4}\)\(x = -1\)The value of x is -1.
Guys I need help : How do we find square of any number Ex.121.... for grade 5 and 6 ez method plis
Answer:
\(hey \: its \: easy\)
(1) Square of 5 = 5 × 5 = 25
(2) Square of 10 = 10 × 10 = 100
(3) Square of 16 = 16 × 16 = 256
(4) Square of 25 = 25 × 25 = 625
(5) Square of 110 = 110 × 110 = 12100
like this you can also find it
hope it helps
pls mark as brainliest
Answer:
Step-by-step explanation:
You have to figure out what has to multiply by itself to get to that number.
So for example, 121. The square root is more than 10 because 10 times 10 equals 100. It's less than 15 because 15 times 15 is a little over 200. If you have your multiplication tables memorized, you'd know that 11 multiplied by itself is 121. Therefore, the square root to 121 is 11. Hope this helps! (:
What is the slope of the line?
Answer:
m= 4/3
Step-by-step explanation:
what is the answer (−10/12) x5/7
The answer of the expression (-10 / 12) × ( 5 / 7) is -0.595.
Given,
The expression = (-10 / 12) × (5 / 7)
We have to solve this using arithmetic operations
Arithmetic operations:
Arithmetic is the fundamental study of numbers in mathematics. The four fundamental operations in mathematics are addition, subtraction, multiplication, and division, but exponentiation and the extraction of roots are also included.
Solve:
(-10 / 12) × (5 / 7)
- 0.833333333 × 0.714285714
= -0.595238095
≈ -0.595
That is, the answer of the expression (-10 / 12) × (5 / 7) is -0.595
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Solve the Proportion: 3/8 = x/12
x = 9/2
Get variable on one side of equation and solve"
x/12 = 3/8
x = (3/8)(12)
x = 9/2
!!!30 POINTS AND BRAINLIEST!!!PLEASE HELP ASAP!!!THIS IS MY 5th TIME POSTING IT!!!!
Given the following data points, calculate the curve of best fit. Show all steps.
(Look at image)
Answer:
where is the image
Step-by-step explanation:
Answer:
y = -30.17x + 14.49.
Step-by-step explanation:
I inserted a picture to show my work sorry for my handwriting, also sorry i took so long
to calculate a percent increase, the portion is the missing element. True or false?
False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.
The formula for calculating a percent increase is:
Percent Increase = (Final Value - Initial Value) / Initial Value * 100
In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.
By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.
Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.
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PLEASE SOMEONE HELP ME
Step-by-step explanation:
I guess that means winning a level gives the player twice as many points as for winning the previous level.
if that is the real meaning here, then we have
l1 = 10
l2 = 2×l1 = 2×10 = 20
l3 = 2×l2 = 2×2×l1 = 2×2×10 = 4×10 = 40
ln = 2×ln-1 = l1 × 2^(n-1) = 10 × 2^(n-1)
therefore,
l5 = 10 × 2⁴ = 10 × 16 = 160
12+7n=n-6 what is the value of n
Answer:
n = -3
Step-by-step explanation:
12 + 7n = -6
(subtract n from both sides)
12 + 6n = -6
(subtract 12 from both sides)
6n = -18
(divide both sides by 6)
n = - (18)/(6) (don't mind the parentheses)
n = -3
PROBLEM SOLVING You are flying in a hot air balloon about 1.2 miles above the ground. Find the measure of the arc that
represents the part of Earth you can see. Round your answer to the nearest tenth. (The radius of Earth is about 4000 miles)
4001.2 mi
Z
W
Y
4000 mi
Not drawn to scale
The arc measures about __
The arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.
How to Solve the Arc Degree?To discover the degree of the arc that represents the portion of Earth you'll be able to see from the hot air balloon, you'll be able utilize the concept of trigonometry.
To begin with, we got to discover the point shaped at the center of the Soil by drawing lines from the center of the Soil to the two endpoints of the circular segment. This point will be the central point of the bend.
The tallness of the hot discuss swell over the ground shapes a right triangle with the span of the Soil as the hypotenuse and the vertical separate from the center of the Soil to the beat of the hot discuss swell as the inverse side. The radius of the Soil is around 4000 miles, and the stature of the swell is 1.2 miles.
Utilizing trigonometry, able to calculate the point θ (in radians) utilizing the equation:
θ = arcsin(opposite / hypotenuse)
θ = arcsin(1.2 / 4000)
θ ≈ 0.000286478 radians
To discover the degree of the circular segment in degrees, we will change over the point from radians to degrees:
Arc measure (in degrees) = θ * (180 / π)
Arc measure ≈ 0.000286478 * (180 / π)
Arc measure ≈ 0.0164 degrees
Adjusted to the closest tenth, the arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.
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19) Consider The Model Yi=B0+B1Xi+B2Ziui, If You Know The Variance Of Ui Is Σi2=Σ2zi2 How Would You Estimate The Regression?
To estimate the regression in the given model Yi = B0 + B1Xi + B2Ziui, where the variance of Ui is Σi^2 = Σ(zi^2), you can use the method of weighted least squares (WLS). The weights for each observation can be determined by the inverse of the variance of Ui, that is, wi = 1/zi^2.
In the given model, Yi = B0 + B1Xi + B2Ziui, the error term Ui is assumed to have a constant variance, given by Σi^2 = Σ(zi^2), where zi represents the individual values of Z.
To estimate the regression coefficients B0, B1, and B2, you can use the weighted least squares (WLS) method. WLS is an extension of the ordinary least squares (OLS) method that accounts for heteroscedasticity in the error term.
In WLS, you assign weights to each observation based on the inverse of its variance. In this case, the weight for each observation i would be wi = 1/zi^2, where zi^2 represents the variance of Ui for that particular observation.
By assigning higher weights to observations with smaller variance, WLS gives more importance to those observations that are more precise and have smaller errors. This weighting scheme helps in obtaining more efficient and unbiased estimates of the regression coefficients.
Once you have calculated the weights for each observation, you can use the WLS method to estimate the regression coefficients B0, B1, and B2 by minimizing the weighted sum of squared residuals. This involves finding the values of B0, B1, and B2 that minimize the expression Σ[wi * (Yi - B0 - B1Xi - B2Ziui)^2].
By using the weights derived from the inverse of the variance of Ui, WLS allows you to estimate the regression in the presence of heteroscedasticity, leading to more accurate and robust results.
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I need a mediate help picture include
Answer:
○D. 21,34 branches would be there on the next two level of that tree.
Which transformations could be performed to show that ΔABC is similar to ΔA'B'C'? *
1 point
Captionless Image
a reflection over the y-axis, then a dilation by a scale factor of 1.5
a reflection over the y-axis, then a dilation by a scale factor of 2/3
a 180° rotation about the origin, then a dilation by a scale factor of 1.5
a 180° rotation about the origin, then a dilation by a scale factor of 2/3
Answer:
a reflection over the y-axis, then a dilation by a scale factor of 1.5
Step-by-step explanation:
im smart
Students who complete 45 minutes of I-Ready earn 45 points.
Students who complete 60 minutes of I-Ready earn 60 points.
Is this a proportional relationship?
Answer:
Yes
Step-by-step explanation:
We can see if this is a proportional relationship by dividing even though just looking at it we know it is.
\(45 /div 45=1\) and \(60 /div 60=1\)
Both scenarios have a 1:1 proportion/ratio.
amanda correctly answered 48 of the 60 math questions on a math exam what percent of questions did she answer correctly
Answer:
no proplem the answer is 60 with 48 is the compirng of the gsss
Step-by-step explanation:
Answer:
get smart
Step-by-step explanation:
dont come here again
Identify the correct steps involved in proving p q and (PA) (p ) are logically equivalent. (Check all that apply.) points Check All That Apply Skipped O The first statement p q is true if and only if p and q have the same truth value. eBook Hint O The first statement p q is true if p and q have different truth values. Print O If both p and q are true, ( p a) is true and (p a) is false. This implies that the second statement (p Ad) v (p a ) is true. References O If both p and q are false, then (PAC) is false and (PA ) is true. This again implies that the second statement (PAC) v (p a ) is true. O If both p and q are false, then (PAC) is false and (PA ) is true. This again implies that the second statement (paq) (PA ) is false. O If p is true and q is false, then (PA) is false and (PA ) is true. This again implies that the second statement (paq) (PA ) is false. O Thus, p q and (paq) (p^-) have same truth value; hence, they are logically equivalent.
The correct steps involved in proving p q and (PA) (p ) are logically equivalent are:
The first statement p q is true if and only if p and q have the same truth value.
Thus, if p is true and q is false, then p q is false.
The statement (PA) (p ) is true if and only if both (PA) and p have the same truth value.
If both (PA) and p are true, then (PA) (p ) is true.
If either (PA) or p is false, then (PA) (p ) is false.
Therefore, p q and (PA) (p ) have the same truth value, and hence they are logically equivalent.
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Susie typically runs 5 miles in 1 hour. how far would she run in 30 minutes?
Answer:
2.5 miles
Step-by-step explanation:
you would divide 5 by 2 because it's splitting the time
and that would get you 2.5
hope that helped :)