Answer:
There are 10 integers between the given values
Step-by-step explanation:
We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:
[tex]\sqrt{37} \approx6.0827[/tex]
then this point is located in between the integers 6 and 7 on the x-axis.
[tex]5\,\sqrt{11} \approx 16.58[/tex]
therefore, it is located between the integers 16 and 17 on the number line.
Then between [tex]\sqrt{37}[/tex], and [tex]5\,\sqrt{11}[/tex], we have the following integers:
7, 8, 9, 10, 11, 12, 13, 14, 15, 16.
That is 10 integers
Identify the measure of arc AB.
1. arc AB = 70°
2. arc AB = 60°
3. arc AB = 80°
4. arc AB = 50°
Answer:
4
Step-by-step explanation:
A and B meet at G which is 50 moving up the degree ould still stay 50
Ms. Eskew's class had a class average of 77 % on their Math test. How would this be written as a ratio? A. 23:100 B. 77:100 C. 54:100 D. 100:77
Answer:
answer is B. 77 percent means 77/100
Have a great day
Step-by-step explanation:
brainliest please!!!!
)) Devon jarred 15 liters of jam after 3 days. How much jam did Devon jar if she spent 4 days
making jam? Assume the relationship is directly proportional.
Answer:
20 liters
Explanation:
To find out how much jam Devon would jar if she spent four days making jam, we must first find out how much jam she makes in one day. In order to do that, we must divide how many liters of jam she makes in three days by the amount of days it took her to make it (three days).
15 liters ÷ 3 days = 5 liters per day
So, Devon jars 5 liters of jam per day.
Now that we found out how much jam she makes in a day, let's find out how much jam she makes in four days. To do that, we must multiply the amount of jam she makes in a day by four days.
5 liters × 4 days = 20 liters
Therefore, Devon will jar 20 liters of jam if she spends four days making jam.
Answer:
on ixl its 48.
Step-by-step explanation:
c) A shopkeeper made a loss of Rs 20 when he sold a bag at 20% discount. If he had sold it at 10% discount, he would have gained 8%. Find the marked price of the bag.
help!!
Answer: Marked price Rs. 600
Step-by-step explanation:
Let M be the marked price
1) When shop keeper sold at 20% discount, ie. SP = 0.8M
CP - SP = 20
CP = 20 + SP
CP = 20 + 0.8M
2) When shopkeeper sells at 8% discount, he makes a profit of 10%
SP = 0.9M/1.08
Equating 1 and 2, we get
20 + 0.8M = 0.9M/1.08
21.6 + 0.864M = 0.9M
0.036 M = 21.6
M = 21.6 / 0 036
M = 600
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[tex]\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid } [/tex]
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[tex]\Large\fbox{\color{purple}{QUESTION}}[/tex]
A shopkeeper made a loss of Rs 20 when he sold a bag at 20% discount. If he had sold it at 10% discount, he would have gained 8%. Find the marked price of the bag.
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[tex]\Large\fbox{\color{purple}{ SOLUTION }}[/tex]
let M, S and C be the mark price, selling price & cost price respectively.
1) when shopkeeper sells at 20% discount then he suffers a loss of rupees 20 then we have :-
[tex]s = ( 1 - \frac{20}{100} ) \times m = 0.8m \\ \\ and \: c - s = 20[/tex]
C = 20 + 0.8 m ------------- eq 1
2) when shopkeeper sells at 20% discount then he makes a profit of 8% then we have
[tex]s = ( 1 - \frac{10}{100} ) \times m = 0.9m \\ \\ and \\ \\ s = ( 1 + \frac{8}{100} ) \times c = \: \frac{0.9m}{1.08} [/tex]
since the cost price of bag doesn't change and equating 1 and 2 we get
[tex]20 + 0.8m = \frac{0.9m}{1.08} \\ \\ 21.6 + 0.864m \: = 0.9m \\ \\ 0.036m \: = 21.6 \\ \\ m \: = 600[/tex]
hence ur answer is rupees 600━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\bf\Large\red{ THANKS \: FOR \: YOUR}[/tex]
[tex]\bf\Large\red{ QUESTION \: HOPE \: IT } [/tex]
[tex]\bf\Large\red{ HELPS }[/tex]
[tex]\Large\mathcal\green{FOLLOW \: ME} [/tex]
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Factor this expression completely, then place the factors in the proper location on the grid. a^3y + 1
plz help i don't understand what it wants me to do its make up work and i haven't been taught how to do it also its algebra 2
Answer:
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\[/tex]
Step-by-step explanation:
We are to factorize the expression [tex]a^{3y} + 1[/tex] completely. To do this, we will apply the expression below;
The expression can be rewritten as [tex]a^{3y} + 1^{3}[/tex]
To factorize the expression, we need to first factorize [tex](a^{y}+1 )^{3}[/tex] first
[tex](a^{y}+1 )^{3} =(a^{y}+1 )(a^{y}+1 )^{2}\\= (a^{y}+1 )((a^y)^{2} } + 2a^{y} +1)\\= (a^y)^{3} +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y+1\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +2(a^y)^{2}+a^y+( a^y)^{2}+2a^y\\(a^{y}+1 )^{3} = ((a^y)^{3} + 1) +3(a^y)^{2}+3a^y\\[/tex]
The we will make [tex]a^{3y} + 1^{3}[/tex] the subject of the formula as shown;
[tex](a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\(a^y)^{3} + 1^{3} = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex](a^y)^{3} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - (3(a^y)^{2}+3a^y)\\\\[/tex]
[tex]a^{3y} + 1 = (a^{y}+1 )^{3} - 3a^y(a^{y}+1)\\\\[/tex]
This last result gives the expansion of the expression
Determine whether each function is even, odd, or neither.
f(x) = (x2-9
DONE
g(x) = |x-31
DONE
x2-1
DONE
g(x) = x + x2
DONE
Answer:
a) f(x) = x² -9
function is an even function
b) g(x) = |x -3|
function is an even function
c) f(x)= x / x²-1
function is odd function
d) g(x) = x + x²
Given function is not an even not odd function
This function is neither even or odd
Step-by-step explanation:
Explanation:-
a) Given f(x) = x² -9
Even function
If f(-x) = f(x) , then the function is even function.
f(-x) = (-x)² -9
= x² -9
= f(x)
f(-x) = f(x)
∴ Given function is an even function
b)
Given g(x) = |x -3|
Even function
If g(-x) = g(x) , then the function is even function.
g(-x) = |-(x-3)|
= |x-3|
g(-x) = g(x)
∴ Given function is an even function
c)
odd function
If f(-x) =- f(x) , then the function is odd function.
f(-x) = [tex]f(-x) = \frac{-x}{(-x)^{2}+1 } = \frac{-x}{x^{2}+1 } = - f(x)[/tex]
= -f(x)
f(-x) = -f(x)
∴ Given function is odd function
d)
If g(-x) = g(x) , then the function is even function.
g(x) = x + x²
g(-x) = -x + (-x)²
= - (x - x²)
This is not either even or odd function
∴ Given function is neither function
a) f(x) = x² -9
function is an even function
b) g(x) = |x -3|
function is an even function
c) f(x)= x / x²-1
function is odd function
d) g(x) = x + x²
Given function is not an even not odd function
This function is neither even or odd
Here, we have,
a) Given f(x) = x² -9
Even function
If f(-x) = f(x) , then the function is even function.
f(-x) = (-x)² -9
= x² -9
= f(x)
f(-x) = f(x)
∴ Given function is an even function
b)
Given g(x) = |x -3|
Even function
If g(-x) = g(x) , then the function is even function.
g(-x) = |-(x-3)|
= |x-3|
g(-x) = g(x)
∴ Given function is an even function
c)
odd function
If f(-x) =- f(x) , then the function is odd function.
f(-x) = -x/(-x)²-1
= -f(x)
f(-x) = -f(x)
∴ Given function is odd function
d)
If g(-x) = g(x) , then the function is even function.
g(x) = x + x²
g(-x) = -x + (-x)²
= - (x - x²)
This is not either even or odd function
∴ Given function is neither function.
To learn more on function click:
brainly.com/question/21145944
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I NEED HELP PLEASE
Select the correct answer.
Which set of coordinates satisfies the equations x-2y= -1 and 2x + 3y= 12?
Answer:
(3,2)
Step-by-step explanation:
The solution that satisfies both equations is where the two lines intersects.
The two graphs intersect at x=3 and y =2
Factor completely x3 + 8x2 – 3x – 24
O(x-8)(x2 - 3)
O (X + 8)(x2 + 3)
O (x-8)(x2 + 3)
O (X + 8)(x2 – 3)
Answer:
Option d is the answer
(X + 8)(x2 – 3)
Step-by-step explanation:
x3 + 8x2 – 3x – 24
= (X + 8)(x2 – 3)
Check all the options by expansion
(a)
(x-8)(x2 - 3)
=x3-3x-8x2+24
(b)
(X + 8)(x2 + 3)
=X3+3x+8x2-24
(c)
(x-8)(x2 + 3)
=X3+3x-8x2-24
(d)
(X + 8)(x2 – 3)
=X3-3x+8x2-24
to graph x[tex]\geq[/tex] 2 place a(n) blank on a number line at and shade to the blank
Answer:
See below
Step-by-step explanation:
Attached below is the graph of [tex]x\geq 2[/tex]. Since x=2 is a vertical line, everything shaded are the x values larger or equal to 2. Hope this helps!
The 8th grade sells popcorn after school.
The 2-cup container is $0.89, the 24-cup
container is $1.10, and the 32-cup
container is $1.75. Which is the best buy?
Answer:
I would say the 2-cup container is the best buy.
Step-by-step explanation:
Value for money and 2 cups are enough.
For what values (cases) of the variables the expression does not exist: a/2x−4
Answer:
x=2
Step-by-step explanation:
Given the expression: [tex]\dfrac{a}{2x-4}[/tex]
The expression is undefined or "does not exist" when the value of the denominator equals zero.
Therefore, set the denominator of the function equals to zero to find the values at which it does not exist.
2x-4=0
2x=4
x=2
Therefore, at x=2, the function is undefined.
Which equation describes a parabola that opens up or down and whose
vertex is at the point (h, v)?
A. y==(x-)2 + h
B. x= aly-v2-h
c. x= aty- h2 + v
D. y = a(x - 1)2 + v
PLEASE HELP ASAP
Answer:
c i took th test
Step-by-step explanation:
9
Question 4 (5 points)
Evaluate the expression: 230 - 151 + 180 + (43 - 12).
A) 46
OB) -44
C) 18
D) 57
Answer:
230 - 151 + 180 + (43 - 12) = 290
Step-by-step explanation:
Use PEMDAS.
Evaluate the expression in the parentheses:
230 - 151 + 180 + (43 - 12)
43 - 12 = 31
230 - 151 + 180 + 31
Add and Subtract From Left to Right:
230 - 151 + 180 + 31
79 + 180 + 31
259 + 31
290
None of the given options are correct.
Answer:
18
Step-by-step explanation:
Evaluate the expression: 23^(0) - 15^(1) + 18^(0) + (43 - 12) = 18
Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0 A. (x − 5)2 = 36 B. (x − 10)2 = 21 C. (x − 10)2 = 36 D. (x − 5)2 = 21
Answer:
A. (x - 5)² = 36
Step-by-step explanation:
Step 1: Isolate x
x² - 10x = 11
Step 2: Complete the Square
x² - 10x + 25 = 11 + 25
(x - 5)² = 36
And we have our answer!
(x^4)^2 perform the indicated operation
Answer:
[tex]x^8[/tex]
Step-by-step explanation:
Since you are doing [tex]x^4[/tex] squared, you have to multiply the exponents.
4 * 2 = 8
[tex]x^8[/tex]
Answer:
[tex]x^8[/tex]
Step-by-step explanation:
[tex](x^4)^2[/tex]
Apply the law of exponents, where:
[tex](x^a)^b=x^{ab}[/tex]
[tex](x^4)^2=x^{4 \times 2}=x^8[/tex]
solve for x, x+3y=-3
Answer:
x=-3y-3
Step-by-step explanation:
x+3y=-3
x=-3y-3
Answer:
x= -3y-3
Step-by-step explanation:
x+3y= -3
Subtract 3y from both sides
x= -3y-3
what is the mean? i need the answer immediately.
Answer:
Mean = 203.167
Step-by-step explanation:
Mean = [tex]\frac{sum of observations}{total no. of observations}[/tex]
Mean = [tex]\frac{153+230+354+38+180+264}{6}[/tex]
Mean = [tex]\frac{1219}{6}[/tex]
Mean = 203.167
find the x-intercepts for the parabola defined by this equation
Answer:
Your x-intercepts are (1, 0) and (5, 0)
Step-by-step explanation:
Factor out the expression:
[tex]y =x^{2} -6x +5[/tex] factors out to [tex]y = (x-1) * (x-5)[/tex]
Because this factored out form is now in intercept form, we can solve that the two intercepts are (1, 0) and (5, 0).
Answer:
The coordinates are (5 ,0) and (1 ,0)
Answer is given below with explanations.
Step-by-step explanation:
[tex]to \: find \: the \: x \: intercepts \: of \: the \: parabola \: \\ defined \: by \: {x}^{2} - 6x + 5 = y \\ let \: y = 0 \\ then \\ {x}^{2} - 6x + 5 =0 \\ by \: factorization \\ (x - 5)(x - 1) = 0 \\ x - 5 = 0 \: \: (or )\: x - 1 = 0 \\ x = 5 \: \: ( or) \: x = 1[/tex]
We want ti express the intercepts as two ordered pairs (y = 0)
Then the coordinates are (5 ,0) and (1 ,0)
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Math I NEED HELP LOOK AT THE IMAGE ALGEBRA IS KILLING ME
Answer:
Based on the given information in the problem, 18 is found to be 75% of 24.
Step-by-step explanation:
In order to solve this problem, we must first know what we are being asked to do. In the problem, we are asked to find what percent of 24 is 18. We can find this percentage by dividing. We will divide 24 by 18.
18 ÷ 24 = 0.75
Now, we multiply this number by 100 to get the percent.
0.75 × 100 = 75
So, 18 is 75% of 24.
Answer:
the correct answer would be 75%
analyze the diagram below and answer the question that follows.
Answer:
Option (3)
Step-by-step explanation:
To prove ΔMTD ≅ ΔLGS,
Statements Reasons
1). Segment TM ≅ GL 1). Given
2). Segment MD ≅ LS 2). Given
3). Segment TD ≅ GS 3). Additional information required
4). ΔMTD ≅ ΔLGS 4). SSS property
For SSS property corresponding sides of the given triangles must be congruent.
Therefore, additional information required is segment GS ≅ TD
Option (3). will be the answer.
HELPP!!! 30 POINTS!!! WILL MARK BRAINLYIST!! Step 1: Written Response (30 points) Using complete sentences, compare the fat content of the three restaurants above. Make sure to talk about skewedness, measures of center, and measures of spread. Also, make a recommendation for which restaurant you think is the "healthiest". Make sure to defend your recommendation using mathematical terms that you've learned in this unit.
Answer:
median a= 65 b= 75 c=68
This shows the median of each fat content of each restaurant showing that restaurant c is closer to that of 'restaurant a ' than a is to 'restaurant b' and near to 1/7 lower than that of restaurant b which shows they are all highly skewed with each other upon their graph.
The measures of spread start with 55 to 72 for 'restaurant a' where the upper and lower quartiles are 70-60 showing a distribution 10-17 into the whisker plot.
Compared to restaurant b which shows a measure of spread start with 65 to 90 for 'restaurant b' where the upper and lower quartiles are 85 - 68 into the whisker plot and show a spread of 3 in the left exterior and 5 spread in the right exterior to the upper quartile. So in comparison to restaurant a that restaurant b has a greater spread in the interquartile range = 15 where restaurant a =10.
For the outer quartile the comparison to restaurant a is twice as small meaning restaurant a is greater by over double and shown as 53 <a < 60 which when showing both outer quartiles we can use the amounts being 7 and 70<a<72 = 2
and show closed dots on equality line number line separately showing a<-7 and a>2 for each outer exterior quartile. For restaurant b this shows opposite similar equalities 65<b< 68 = b>-3 and 82<b<89 = b>7
So the differences are smaller for b for left side by 4 and larger for b by 5 up on the right side.
We compare both to restaurant c and find c = 60<c<61 = c>-1 and 70<c<71 = c>1 so the differences are that the outer quartile for c through the other quartiles = -2> c < -6 . This shows how smaller c is compared to a and b outer quartiles). We can also prove that while the outer quartiles are much more smaller for c than a and b we cna prove that c actually has an inner quartile more similar to c and closer distribution of b as the median is more closer for a and c where b has a greater output for median as restaurant b has the higher fat content and greater distribution within the inner quartiles over all.
Summary findings Restaurant c outer quartile is moderately skewed as they show -1 -0.5 on the left side and 1-0.5 on the right side. Restaurant a has a closer median inner quartile to c and closer distribution of inner distribution of c. It's output outer quartile distribiution is a distribution that is higher than b but a smaller inner quartile compared to b, when this happens then the distribution spread shows less range and fewer products to account for.
So i think restaurant b has the higher fat content to its menu.
Where restaurant a must be the healthiest as it holds the lowest range and larger gap is such range for healthier food.ie) when compared to the others.
Meanings of what we are asked.
In a box and whisker plot: the ends of the box are the upper and lower quartiles, so the box spans the interquartile range. the median is marked by a vertical line inside the box. the whiskers are the two lines outside the box that extend to the highest and lowest observations.
Skewness refers to distortion or asymmetry in a symmetrical bell curve, or normal distribution, in a set of data. If the curve is shifted to the left or to the right, it is said to be skewed. Skewness can be quantified as a representation of the extent to which a given distribution varies from a normal distribution.
As a general rule of thumb:
If skewness is less than -1 or greater than 1, the distribution is highly skewed.
If skewness is between -1 and -0.5 or between 0.5 and 1, the distribution is moderately skewed.
If skewness is between -0.5 and 0.5, the distribution is approximately symmetric.
Step-by-step explanation:
I hope this helps u have a nice day ✌❤☘A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 16 adults are randomly selected,
find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight
correction?
The probability that no more than 1 of the 16 adults require eyesight correction is
(Round to three decimal places as needed.)
Answer:
P (X≤1) = 0.000
Step-by-step explanation:
Data given:
p = 79% = 0.79
q = 1 - 0.79 = 0.21
n = 16
P (no more than 1 in 16 adults) = P (X≤1)
P (X≤1) = P (X=0) + P (X=1)
We can find the probability by using binomial functions:
[tex]P=\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}[/tex]
P(X=0):P(X=0) = (16! / 0!(16-0)!) · 0.79⁰ · 0.21¹⁶
Use calculator to solve:
P(X=0) = 0.000000000798
P(X=1):P(X=1) = (16! / 1!(16-1)!) · 0.79¹ · 0.21¹⁵
Use calculator to solve:
P(X=1) = 0.000000034506
P(X≤1)P (X≤1) = P (X=0) + P (X=1)
P (X≤1) = 0.000000000798 + 0.000000034506
P (X≤1) = 0.00000003530
P (X≤1) = 0.000
As 1 is a very low number, its probability is very small
WILL MARK BRAINLIEST! Solve number 6.
Answer:
Complementary angles are angles that add up to 90°. Supplementary angles add up to 180°.
Therefore, it's really easy to simply subtract the values that are less than 90 from 90 to receive the complement for those angles, but if it is above 90, subtract the number from 180. Therefore, your answers are as follows:
1. 54° and 144°
Complement: 90 - 36 = 54
Supplement: 180 - 36 = 144
2. 85° and 175°
Complement: 90 - 5 = 85
Supplement: 180 - 5 = 175
3. 20° and 110°
Complement: 90 - 70 = 20
Supplement: 180 - 70 = 110
4. 61° and 151°
Complement: 90 - 29 = 61
Supplement: 180 - 29 = 151
5. 40.8° and 130.8°
Complement: 90 - 49.2 = 40.8
Supplement: 180 - 49.2 = 130.8
6. 12°
Complement: 90 - 168 = -78 (negative angles do not work)
Supplement: 180 - 168 = 12
7. 79° and 169°
Complement: 90 - 11 = 79
Supplement: 180 - 11 = 169
8. 90 - 2x and 180 - 2x
Complement: 2x + (something) = 90 → 90 - 2x
Supplement: 180 - 2x
Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x squared y Superscript 10 Baseline EndFraction? Assume x not-equals 0, y not-equals 0. StartFraction 5 Over x Superscript 12 Baseline y Superscript 30 Baseline EndFraction StartFraction 1 Over 5 x Superscript 8 Baseline y Superscript 13 Baseline EndFraction StartFraction 5 Over x Superscript 4 Baseline y Superscript 7 Baseline EndFraction StartFraction y Superscript 7 Baseline Over 5 x Superscript 4 Baseline EndFraction
Answer:
The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFractionStep-by-step explanation:
Given the expression [tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }[/tex]for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.
[tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\[/tex]
The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction
Answer:
It’s b
Step-by-step explanation:
The measure of b is..
Answer:
b =21
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2 + b^2 = 29^1
400 + b^2 =841
Subtract 400 from each side
b^2 = 441
Take the square root of each side
sqrt(b^2) = sqrt(441)
b =21
Answer:
b = 21
Step-by-step explanation:
Ok so solving this is actually really simple.
We need to use the Pythageorum Theorum formula which is [tex]a^2+b^2=c^2[/tex].
So we already know the c and b which are 29 and 20 and we are trying to find b or a in the formula so.
We have to plug the numbers 29 and 20 into the formula and do the steps which is to sqaure them. So 29 and 20 squared are 841 and 400.
So we have to plug those numbers into the formula and it looks like this now [tex]a^2+400=841[/tex]. So now we have to get a squared alone and to do tha we subtract 400 from 841 which is 441. So now to find a we have to find the square root of a and 441 which is a and 21 so b is 21.
Please answer this Question ASAP
Answer:
The answers are B, D, and E.
Step-by-step explanation:
Just look at the X coordinates, match them up with the Y, and there you go.
;)
Make m the subject of the formula
check the photo and if u feel I made any mistakes pls do let me know
The measure of angle 3 is 42°
What is the measure of angle 1 in degrees
Answer:
48 degrees
Step-by-step explanation:
Angle 2 is a right angle.
Right angles are 90 degrees.
A line is 180 degrees.
Angle 1, 5, and 2 form a line.
180-90=90
That means that Angles 1 and 5 add up to 90 degrees.
We know that Angle 3 is 42 degrees.
Angle 3 and 5 are Vertical angles.
Vertical angles are always congruent.
This means that Angle 5 is also 42 degrees.
As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)
42+x=90
Subtract 42 from both sides.
x=48
m<1=48
Answer:
It is 48 degrees because I took the test
Step-by-step explanation:
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 55 and 63? Round your
answer to the nearest tenth of a percent.
A. 55.9%
B. 53.9%
C. 56.9%
D. 54.9%
Answer: 55.9% appex
Step-by-step explanation:
The probability that a data value is between 55 and 63 is 54.7%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We can use the standard normal distribution to solve this problem by standardizing the values of 55 and 63:
z1 = (55 - 62) / 4 = -1.75
z2 = (63 - 62) / 4 = 0.25
Using a standard normal distribution table (or a calculator), we can find the area under the curve between z1 and z2:
P(-1.75 < z < 0.25) = 0.5466
Rounding to the nearest tenth of a percent, we get:
0.5466 ≈ 54.7%
Therefore,
The probability that a data value is between 55 and 63 is 54.7%.
Learn more about probability here:
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Given g(x) = 2x + 5, find g(1)
Answer:
g(1) =7
Step-by-step explanation:
g(x) = 2x + 5
Let x=1
g(1) = 2(1) +5
= 2+5
=7
Answer:
g(1) = 7
Step-by-step explanation:
g(x) = 2x + 5
Put x as 1 and evaluate.
g(1) = 2(1) + 5
Multiply 2 and 1.
g(1) = 2 + 5
Add 2 and 5.
g(1) = 7