Step-by-step explanation:
The key rule is: to round up the number one digit to the left has to be the number 5 or more, else it rounds down.
23.827 rounds up because the 8 is more than 5.
1.218 rounds down because 2 is less than 5.
24-1= 23
In a survey 125 people, 90 people liked orange juice or grape juice. There are 62 people who like orange juice and 43 people who like grape juice. What is the probability that a randomly selected person likes both juices?
Answer:
0.12 = 12% probability that a randomly selected person likes both juices.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We solve this question treating these events as Venn probabilities.
I am going to say that.
Event A: Like orange juice.
Event B: Like grape juice.
In a survey 125 people, 90 people liked orange juice or grape juice.
This means that:
[tex]P(A \cup B) = \frac{90}{125}[/tex]
62 people who like orange juice and 43 people who like grape juice.
This means that:
[tex]P(A) = \frac{62}{125}, P(B) = \frac{43}{125}[/tex]
What is the probability that a randomly selected person likes both juices?
This is [tex]P(A \cap B)[/tex], which is given by:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex].
With the values in this problem:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = \frac{62}{125} + \frac{43}{125} - \frac{90}{125} = \frac{62 + 43 - 90}{125} = \frac{15}{125} = 0.12[/tex]
0.12 = 12% probability that a randomly selected person likes both juices.
Distribute
-3/7 (21x - 7)
Answer:
-9x+3
Step-by-step explanation:
See the steps below:)
Write the number 9.9 x 10-5 in standard form.
PLEASE HELP ASAP
What is the approximate value of sin e when cose = -0.8 is
A.-1.67
B.-0.6
C.0.6
D.1.67
Which of the following is NOT TRUE about graphing a quadratic equation: ax2 + bx + c
The "b" value is the x-coordinate of the vertex.
The graph is called a parabola and either opens up or down.
The x-intercepts can be found by factoring and using the zero product property.
The "C" term is the y-intercept of the graph.
Answer:
The "b" value is the x-coordinate of the vertex. - NOT TRUE
Step-by-step explanation:
The "b" value is the x-coordinate of the vertex. - NOT TRUE
The x-coordinate of the vertex is -b/(2a)
a number b divided by 3 is 6 less than a number c
Answer:
b/3 = c - 6
Step-by-step explanation:
A number b divided by 3 is 6 less than a number c
b/3 = c - 6
conducted an experiment with orange, purple and blue colored lights to grow spinach. During their experiment, they conducted a chi-square analysis. Their chi-square sum was 0.85. If their sum is less than the probability value, then their data fits their experiment to reject the null. If their sum is greater than the probability value to, then their data does not fit their experiment to accept the null. What was the conclusion of the data results for their experiment
Answer:
There is not enough evidence to reject the null hypothesis.
Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.
Step-by-step explanation:
There are 3 colors so degrees of freedom = 3-1 = 2
The chi square value = 0.85
The p value for chi square =0.85 for 2 degrees of freedom for the left tailed test to be 0.34623 for 0.1,0.05 and 0.01 significance level.
There is not enough evidence to reject the null hypothesis.
The p value for chi square =0.85 for 2 degrees of freedom for the right tailed test to be 0.65377 for 0.1,0.05 and 0.01 significance level.
There is not enough evidence to reject the null hypothesis.
Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.
Ashley's purchasing school uniforms for children if the cost of the uniforms is $136.50 if there is 8% sale tax in the community how much sales tax in dollars will she pay?
Answer:
10.92
Step-by-step explanation:
136.5*(8/100)that is tax
Answer:10.92
Step-by-step explanation:
Help i dont know how to do this type of questions
Answer:
x = 28°
y = 23°
Step-by-step explanation:
5y - 4 + 3y = 180
solve for y
8y = 184
y = 23
3y and 2x + 13 are equal
solve for x now that we know y is 23.
3(23) = 2x + 13
69 = 2x + 13
56 = 2x
28 = x
Answer:
y=23 x=28
Step-by-step explanation:
5y-4 + 3y =180⁰
8y-4=180
8y=184
y=23
3y=2x+13
69=2x+13
-13 -13
56=2x
28=x
Hope this is helpful. good luck
Help!!!!!!!!!!! !!!!!
Answer:
D. 3900π
Step-by-step explanation:
volume = 1/3 πr²h ... r = 30, h = 13
v = 1/3 * 30² * 13 * π = 3900π
A right circular cone is a radius 5 inches and height 8 inch
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
The given values are :
height (h) = 8 in radius (r) = 5 inWe know,
[tex] \large\boxed{ \mathrm{slant \: \: height} = \sqrt{h {}^{2} + r {}^{2} } }[/tex]
[tex]l = \sqrt{ {h}^{2} + r {}^{2} } [/tex][tex]l = \sqrt{8 {}^{2} + {5}^{2} } [/tex][tex]l = \sqrt{64 + 25} [/tex][tex]l = \sqrt{89}[/tex]Now,
[tex] \large \boxed{\mathrm{lateral \: \: surface \: \:a rea } = \mathrm{\pi rl}}[/tex]
[tex]\pi \times 5 \times \sqrt{89} [/tex][tex] \mathrm{5\pi \sqrt{89 } \: \: in {}^{2} }[/tex]Therefore the correct answer is :
D. 5π√89 in²
_________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
The lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches
How to calculate the lateral area of the cone?The formula for calculating the lateral area of the cone is expressed as:
V = 1/3πr²h
where:
r is the radiush is the heightGiven the following
r = 5in
h = 8n
Substitute
L = πrl
L = 5π(√8^2+5^2)
L = 5π(√89)
Hence the lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches
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The unit rate of fragance a is $ , and the unit rate of fragrance b is $
Answer:
Table
Bottles Price($)
3 78
6 156
9 234
From that you can find the unit price: 78 / 3 = 156 / 6 = 234 / 9 = 26.
That means that the unit rate of this fragance is $26.
If you call x the number of bottles the equation is
Price = unit rate * number of bottles = 26x.
Now compare this information with that on your graph to compare the unit rates.
This can help you fo find the unit rate in from your grpah: the unit rate is the slope of the line =
[change in y-coordinate] / [change in the x-coordinate]
Step-by-step explanation:
Answer:
3 and 78
Step-by-step explanation:
Problem 1
A right isosceles triangle has legs 6 meters long each. Find the length of the
hypotenuse to the nearest tenth of a meter.
Draw a picture
Solve the problem. Show your work!
Answer:
The hypotenuse measures 8.48 meters.
Step-by-step explanation:
Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:
6 ^ 2 + 6 ^ 2 = X ^ 2
36 + 36 = X ^ 2
√ 72 = X
8.48 = X
Therefore, the hypotenuse measures 8.48 meters.
answer this please .
Answer:
[tex] \frac{3}{5}x + 2 = \frac{2}{3} x[/tex]
[tex]2 = \frac{2}{3} x - \frac{3}{5} x[/tex]
[tex]2 = \frac{10}{15} x - \frac{9}{15} x[/tex]
[tex]2 = \frac{1}{15} x[/tex]
[tex]x = 2 \times 15[/tex]
[tex]x = 30[/tex]
Your answer is x=30
If you are helped with my answer pls tag me brianliest I really want it....... Plzz
THANK YOU......
Lucy and Alicia planned to sell 128 glasses (cups) of lemonade,
How many gallons of lemonade would they need to make?
Lucy and Alicia should be planning to make 8 gallongs of lemonade.
If this helps, please mark brainliest!
Have a wonderful day!
What are the distance between the pair of points E(-5,4) and F(6, 4)
Answer:
The distance is 11 units.
Step-by-step explanation:
First you look at the difference between the x values and then you look at the distance between the y values. Since the x values here are -5, and 6 then you count the distance between -5 and 6. This would be 11 since 6 is 6 units away from 0 and -5 is 5 units away from 0. Since the y values are the same then the distance will just be the distance between the x values.
I want to purchase a pair of sneakers for the summer. Champs and Footlocker
are selling the same pair of sneakers, but with different promotions. Champs
is offering a 25% off coupon and charging a tax of 8%. Footlocker is offering a
20% off coupon, but is not charging any tax.
If the sneakers have an original price of $80, where should I buy them
from if I want to spend the least amount of money?
Answer:
Champs is 64.8, Footlocker is 64. Footlocker is selling them for cheaper. You would go to Footlocker, as it's .8 off.
I can't seem to figure this out
Answer:
c. 4
Step-by-step explanation:
tan (30)/1 = x/7 *cross multiply*
x = 7 (tan(30))
x = 4.04
x = 4
DO NOW
1)_Write an equation that represents the
line whose slope is 5 and has a (-2,4) on
the line.
Answer:
y=5x+14
Step-by-step explanation:
Plug this into the equation y-y1=m(x-x1) where m is the slope. y1 is equal to 4, x1 is equal to -2, and m is equal to 5. This will make the equation y-4=5(x--2). This is equal to y-4=5(x+2). Use the distributive property to get y-4=5(x)+5(2). Simplify to get y-4=5x+10. We want to isolate y so we have to add 4 to both sides. This will be equal to y=5x+10+4. Combine like terms to get y=5x+14. Therefore, the equation is y=5x+14.
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The measure of an angle is 32.3°. What is the measure of its complementary angle?
Answer:
57.8 degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees so you take 32.3 and figure what plus 32.3 equals 90
Find the length of the arc in terms of pi A 144° 10 AB = [?]
Answer:
arc AB = 144°/360° x 2π x 10
= 2/5 × 20π = 8π
The graph of f(x) = x2 + x - 6 is shown below.
What are the solutions to f(x) = x2 + x - 6 PLEASE HELPPP
Answer:
the solutions of a function are the points where for some value of x the function becomes zero
thus the solns for this graph would be
-3 , 2that's option 1.
Find the midpoint of the segment with endpoints of (3.5, 2.2) and (1.5, -4.8)
and enter its coordinates as an ordered pair. If necessary, express
coordinates as decimals.
Answer:
(2.5, -1.3)
Step-by-step explanation:
x = (3.5 + 1.5) / 2
x = 5/2
x = 2.5
y = (2.2 - 4.8) / 2
y = -2.6/2
y = -1.3
(2.5, -1.3)
What the correct answer
Answer:
I probably think it's A..
Adil ran 5 rounds of a square ground of side 70 m. Find the total distance
he ran.
Answer as soon as possible my answer is 350
Answer:
Step-by-step explanation:
Calculate perimeter first
70 x 4 = 280
1 lap is 280m
Adil ran 5 laps so:
5 x 280m = 1400m
A bag of marbles only has red and blue marbles. The bag has a ratio of blue marbles to red marbles of 3:5, and there are 24 blue marbles in the bag. What is the total number of marbles in the bag?
Answer:
64 marbles
Step-by-step explanation:
24 ÷ 3 = 88 × 5 = 40 (40 total red marbles)40 + 24 = 64The solution is, 24 is the total number of marbles in the bag.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
given that,
A bag of marbles only has red and blue marbles.
The bag has a ratio of blue marbles to red marbles of 3:5,
and there are 24 blue marbles in the bag.
we have to find the total number of marbles in the bag.
let, there are x red marbles .
we have,
blue marbles : red marbles = 3:5
so, we get,
blue marbles : red marbles = 24 : x
i.e. 3:5 = 24 : x
so, x = 24 * 5 / 3
or, x = 8*5
or, x = 40
so, there are 24 red marbles .
so, total = 24 + 40 = 64
Hence, The solution is, 24 is the total number of marbles in the bag.
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Question 3
1 pts
Suri has 6 chapters to read over 4 days. How
many chapters will she need to read each day?
02.
0 1 1/2
O 3/4
O 1 1/4
what is the surface area in square inches of the prism
Answer: the answer is 25
Step-by-step explanation:
What is the quotient of (2m4 +21m3 + 35m2 – 37m +45) = (2m + 7)?
Answer:
3rd option is the answer
Step-by-step explanation:
hope u understand
2(b+14) = -7 (1 - b) solve
Answer:
Step-by-step explanation:
2(b+14)=-7(1-b)
2b+28=-7+7b
28+7=7b-2b
35=5b
35/5=b
7=b