Answer:
The mean will increase, and the median will stay the same.
Step-by-step explanation:
We know that the mean of scores is the average value of the scores of the score obtained by 4 friends.
i.e. it is the ratio of sum of scores of 4 friends to the total number of person i.e. 4.
Hence, if the score of any of the person will increase then the mean will also increase
( Since, the denominator remains the same and the numerator is increasing so , the resultant value will increase )
Also, we know that the median of the score lie between the data set, i.e. the change in the score of the last score won't affect the median :
Since, here we have 4 data points and the median lie between the 2nd and 3rd data point so change in the 4th data point won't affect the median.
Hence, increasing Adam's high score affect the mean and median as:
Mean will increase and Median remains the same.
Find the measure of angle x in the figure below: A.) 35° B.) 48° C.) 69° D.) 78°
Answer:
B
Step-by-step explanation:
From supplementary angles, y = 180 - 52 - 59 = 69. From sum of angles in a triangle, x = 180 - 63 - 69 = 48.
Answer:
x = 48
Step-by-step explanation:
First find y
52+y+59 = 180 since they from a straight line
y = 180-59-52
y = 69
Then we know the angles of a triangle add to 180
x+y+63 = 180
x+69+63 = 180
x = 180-69-63
x =48
An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 steps per day (and 65% of Americans are overweight). A group of health-conscious employees of a large health care system volunteered to wear pedometers for a month to record their steps. It was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps. At = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day?
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.
Standard deviationGiven that it was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps, to determine if at = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day the following calculation must be made:
5430 = 100600 = X600 x 100 / 5430 = X60000 / 5430 = X11.04 = XTherefore, since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.
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What is the volume of the prism below?
A. 288 units3
B. 144 units3
C. 180 units3
D. 56 units3
The volume of the given figure is 288 cubic units.
Given a prism with the base dimension of 8×12 units and the height of 3 units.
From the general formula of the volume of the prism,
The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h,
where, B is the area of the base and h is the height of the prism. = l × w × h,
where l, w, and h are the length, width, and height of the rectangular prism.
In our case,
l = 12
w =8
h =3
Volume of the prism = 12 *8 * 3
Volume of the prism = 288
Therefore, the volume of the prism will be 288 cubic units.
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Find the slope of a line passing through the points (5,-5) and (7,3)
Answer:
The slope of the line passing through the points (5, -5) and (7,3) is 4 . Use the slope formula to find the slope.
justify,All functions are relations,but not all relations are functions
Answer: yes this statement is true All functions are relations,but not all relations are functions.
Step-by-step explanation:
Its true because if you think of it like this
a function is a output and like the inner circle
and relations is the outer circle.
Hope this helps :)
PleAse please help urgent❤️❤️❤️❤️
Answer:
2.5 hours30 minutes10 kmStep-by-step explanation:
1. The end time on the graph is 150 minutes. That is ...
(150 min)(1 h)/(60 min) = (150/60) h = 2.5 h
It took Bella 2.5 hours to reach the grocery store.
__
2. Bella is stopped at the places in the curve where the vertical coordinates are not changing. That is, where the graph is horizontal. The total time that the graph is horizontal is 10 min + 20 min = 30 min.
Bella was on the phone for 30 minutes.
__
3. Bella walked 5 km in the first 50 minutes, 2 km (toward home) in the next 20 minutes, and 3 km in the last 60 minutes before she got to the grocery store. Her total distance was ...
5 km + 2k + 3 km = 10 km
Bella traveled a total of 10 km.
Triangle P Q R is shown. The length of P Q is 20 and the length of P R is 12. Angle Q P R is 68 degrees and angle P Q R is 36 degrees. Trigonometric area formula: Area = One-half a b sine (C) What is the area of triangle PQR? Round to the nearest tenth of a square unit.
Answer:
112.3 square unitsStep-by-step explanation:
Find the sketch of the triangle attached.
Area of the triangle = [tex]\frac{1}{2}|PQ| |PR| sinQPR[/tex]
Given PQ = 20, PR = 12 and ∠QPR = 68°
Area of the triangle = 1/2 * 20 * 12 * sin68°
Area of the triangle = 120sin68°
Area of the triangle = 112.26 square units
Area of the triangle ≈ 112.3 square units (to the nearest tenth of a square unit)
Answer:
111.3
Step-by-step explanation:
can someone explain too??
Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
prime factorising 50 inside root,
[tex]\sqrt{50}[/tex]=[tex]\sqrt{5*5*2}[/tex]
5*5 is a perfect square
So root of 5*5(or 25) is 5.
Hence 5 comes outside and 2 remains in bracket.
=5[tex]\sqrt{2}[/tex]
Which transformation gives the same result as a rotation of 180° around the origin followed by a reflection over the y-axis? A. a rotation of 270 degrees around the origin B.A reflection over the x axis C.a reflection over the y axis D.a potion of 90 degrees around the origin
Answer:
The answer should be C
Step-by-step explanation:
Because if you do a reflection over the y-axis you would get the same thing
The two triangles in the diagram are similar. There are two possible values of x. Work out each of these values. State ALL of your workings out.
Answer:
X = 2
Step-by-step explanation:
Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.
Therefore, [tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]
By substituting the measures of the sides in the expression,
[tex]\frac{(x+10)}{10}=\frac{(15+3)}{15}[/tex]
15(x + 10) = 180
x + 10 = 12
x = 12 - 10
x = 2
Therefore, for the given similar triangles value of x = 2
Which expression is equivalent to (5x to the Power of 3)(4x to the power of 3)
20x to the power Of 6
320 to the Power of 6
500x to the Power of 6
8000 to the power of 6
Thank you in advice
Answer:
20x^6
Step-by-step explanation:
20x^6
(5x^3)(4x^3)
On a normally distributed anxiety test with mean 48 and standard deviation 4, approximately what anxiety test score would put someone in the top 5 percent?
Answer:
54.56
Step-by-step explanation:
Given:
Mean, u = 48
Standard deviation, [tex] \sigma[/tex] = 4
Test score = 5%
Required:
Find the raw score, X.
Having a test score of 5% means the Zscore has to correspond to 95%, ie, 1 - 0.05 = 0.95.
Thus, [tex] Z_0_._9_5 = 1.64[/tex]
To get X, use the formula:
[tex] mu + z * \sigma [/tex]
= 48 + (4 * 1.64)
= 48 + 6.56
= 54.56
The anxiety test score that would put someone in the top 5% is 54.56
Find the total surface area of this cuboid
Answer:
Total Surface Area =
148cm²
Explanation:
in the picture
The total surface area of cuboid is 158 cm².
What is the total surface area of cuboid?
The surface area of a cuboid is the total area of all of the faces of a cuboid.
If, the length (l), width (w), and height (h) of the cuboid
then, use the formula: surface area (SA)=2lw+2lh+2hw.
Here, given that,
l = 6cm
w = 4cm
h = 5cm
So, required total SA = 2( 24+30+20)
=158 cm²
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If HK is an altitude of triangle HIJ, IKH = (4x + 50)º, HIK = 43, and KI = x - 7, find Kl.
Plz help now plz
[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Yummy Cookies just opened a brand new cookie bakery. The baker wants to increase the number of cookies he makes and sells each month. So far, the carrot cake cookie has been the best seller. In January, the baker made 14 of these cookies. In February, the baker doubled the January order, and took 5 cookies home to his family. The baker left the rest of the carrot cake cookies at the bakery to be sold. Every cookie left at the bakery sold. If this pattern continues, how many cookies will the baker sell in March and April?
Answer:
Number of cookies sold in March= 46
Number of cookies sold in April= 92
Step-by-step explanation:
Number of cookies made in Feb= 2×14= 28
Number of cookies sold in Feb= 28-5= 23
Number of cookies sold in March= 2× number of cookies sold in Feb
Number of cookies sold in March= 2× 23= 46
Number of cookies sold in April= 46×2= 92
Find EF, Im having trouble with this
Answer:
EF = 6
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(4+2x) * 4 = (5+x) * 5
Distribute
16+8x = 25+5x
Subtract 5x
16+3x = 25
Subtract 16
3x = 25-16
3x = 9
Divide by 3
x = 9/3
x=3
We want EF
EF = 2x = 2*3 = 6
HELP!!! Please solve the problem and give me the answer!!!
Answer:
answer A
Step-by-step explanation:
Hello,
[tex](fog)(x)=f(g(x))=f(2x-1)=3(2x-1)+14=6x-3+14=6x+11[/tex]
so the correct answer is A.
hope this helps
Answer:
A. 6x + 11.
Step-by-step explanation:
(f o g)(x)
We replace the x in f(c) by g(x) and simplify:
= 3(2x - 1) + 14
= 6x - 3 + 14
= 6x + 11.
can someone help me out
This can be shortened to "x intercepts are -1 and -11" since in every case, the y value is always 0 for any x intercept. There's no need to state the y coordinate since it's always 0.
We find this by solving (x+1)(x+11) = 0 for x using the zero product property
(x+1)(x+11) = 0
x+1 = 0 or x+11 = 0
x = -1 or x = -11
=================================
The y intercept is (0,11).This is the result of computing y = (0)^2+12(0)+11. Due to how easy it is to work with 0, we basically just erase the (0)^2+12(0) portion and we're left with 11 as our y intercept. This means you can erase the x^2+12x portion of the original equation to get the same result.
Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade? The number of glasses of lemonade, g, that Betty needs to sell to make a profit, p, if the setup cost her $50 is given by the function p(g) = .
Answer:
p = g - 50
Step-by-step explanation:
profit = income - expenses
income = 1 * g = g
expenses = $50
p = g - 50
If g = 50, then
p = 50 - 50 = 0
If she sells 50 glasses of lemonade, she breaks even. That means she makes no profit, but also she loses nothing.
If she sells more than 50 glasses, then she makes a profit.
Answer:
50 is the answer
Step-by-step explanation:
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 4/17 cups from the first orange, 3/10 cups from the second orange, 9/20cups from the third orange, 3/11 cups from the fourth orange, and 7/15 cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate
Answer:
He needs 0.275 cups of orange juice to reach his estimates
Step-by-step explanation:
Patel estimates he needs 2 cups of orange juice for his family . He squeezed fresh juice from 5 different oranges and got the following quantities measured in cups.
4/17 cups, 3/10 cups , 9/20 cups, 3/11 cups and 7/15 cups.
Adding them together we will know the amount he got. Therefore,
4/17 + 3/10 + 9/20 + 3/11 + 7/15
(40 + 51)/170 + 9/20 + 3/11 + 7/15
91/170 + 9/20 + (45 + 77)/165
(1820 + 1530)/3400 + 122/165
3350/3400 + 122/165
0.98529411764 + 0.73939393939
1.72468805703
Patel got approximately 1.725 cups of orange juice . He will require 2 - 1.725 = 0.275 cups of orange juice to reach his estimates.
1/2 cup of orange juice
Find the solutions to x^2=27 A x= +/- 9 √3 B x= +/- 3 √9 C x= +/- 3 √3 D x= +/- 9 √2 FIRST TO ANSWER CORRECTLY GETS BRAINLIEST :-)
Answer:
The answer is C.
Step-by-step explanation:
You have to square both sides :
[tex] {x}^{2} = 27[/tex]
[tex]x = ± \sqrt{27} [/tex]
Then, you have to simplify it :
[tex]x = ± \sqrt{9 \times 3} [/tex]
[tex]x = ±( \sqrt{9} \times \sqrt{3} )[/tex]
[tex]x = ±( 3 \times \sqrt{3} )[/tex]
[tex]x = ±3 \sqrt{3} [/tex]
Answer:
Option C) x = ±[tex]3\sqrt{3}[/tex]
Step-by-step explanation:
=> [tex]x^2 = 27[/tex]
Taking sqrt on both sides
=> x = ±[tex]\sqrt{27}[/tex]
=> x = ±[tex]\sqrt{3 * 3*3}[/tex]
=> x = ±[tex]3\sqrt{3}[/tex]
Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1/5. What are the dimensions of the model bed she built?
A,) 0.8 ft × 0.1 ft
B.) 0.4 ft × 0.5 ft
C.) 0.8 ft × 1 ft
D.) 0.04 ft × 0.05 ft
Answer: C. 0.8 ft x 1 ft
Step-by-step explanation:
The scale factor of 1/5 means you multiply
the dimensions by 1/5
4 * 1/5 = 0.8
5 * 1/5 = 1
Answer:
C. 0.8 ft x 1 ft
Step-by-step explanation:
Which one doesn't belong, and why? Please explain!! please help!
Answer:
The answer is y = -4x + 5 because this line is the only line that has a negative slope. We know because the other lines have slopes of 4, 1/4 and 4.
Find the values of a and b such that
x^2 + 3x + 4 = (x + a)^2 + b
URGENT!
*silly answers will be reported
Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:
[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]
Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.
It means that we have two equations:
[tex]3x=2ax\\4=a^2+b[/tex]
So, using the first equation and solving for a, we get:
[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]
Finally, replacing the value of a in the second equation and solving for b, we get:
[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]
Anyone know the answer to this?
188 is the answer of questions
Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?
Answer:
9 feet
Step-by-step explanation:
Answer:
The Width of the garden will be 9 feet.
Step-by-step explanation:
Given:
Manny has wood =48 feet
Length of the garden = 15 feet
The equation which can be used. (2l + 2w) = 48
We need to find the width of the garden.
Solution :
Now Length of the garden is given we will substitute in the given equation to find the width.
(2l + 2w) = 48
2 x 15 + 2w = 48
30 + 2w = 48
Now Using Subtraction property we will subtract both side by 30 we get;
30 + 2w -30 = 48 -30
2w = 18
Now Using Division Property we will divide both side by 2 we get;
2w = 18
/2
w = 9
Answer:
Answer is A: 9 feet
I really need help!! I don't get this could someone help me?
Answer:
Side a is 35/5=7 inches long
Side b is 30/5=6 inches long
Side c is 15/5=3 inches long
The transformation from the function f (x)=3x to the function f(x)=3x+4 indicates
Answer:
Moving 4 to the right on the x axis
Step-by-step explanation:
HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!
Answer:
x = 3
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
10x + 2 is an exterior angle of the triangle, thus
10x + 2 = 2x + 1 + 25
10x + 2 = 2x + 26 ( subtract 2x from both sides )
8x + 2 = 26 ( subtract 2 from both sides )
8x = 24 ( divide both sides by 8 )
x = 3
Given the directrix of y = -1 and focus of (0, 3), which is the equation of the parabola?
Answer:
[tex]y=\dfrac{1}{8}x^2+1[/tex]
Step-by-step explanation:
Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:
[tex]y=\dfrac{1}{8}x^2+1[/tex]
Hope this helps!
Answer:
y = one eighth x^2 + 1
Step-by-step explanation:
i took the test and got it right