Answer: -7/5
Step-by-step explanation:
-4(1/5)⋅(1/3)
Convert -4(1/5) to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
− (4 +1/5) ⋅(1/3)
Add 4 and 1/5
-21/5 ⋅ 1/3
Cancel the common factor of 3.
Move the leading negative in − 21 /5 into the numerator.
−21/5 ⋅ 1/3
Factor 3 out of −21.
3 (−7)/5 ⋅ 3 /1
Cancel the common factor.
Rewrite the expression.
−7 /5
Answer:
- 1 2/5
Step-by-step explanation:
make -4 1/5 and improper fraction which would be -21/5x1/3 then u multiply across and ur answer is -21/15. Then you havw to change it to a mixed number and you would get 1 6/15. This number can be simplified by 3 so it would be - 1 2/5
is 369/100 greater than 849/100
9514 1404 393
Answer:
no
Step-by-step explanation:
When fractions have the same denominator, you can compare the numerators.
369 < 849
369/100 is not greater than 849/100
__
Here, you can convert these to decimal numbers and do the comparison in the usual way:
3.69 < 8.49
The most-significant digits are in the same number place (units), and they are different. The number with the smaller most-significant digit is smaller.
Answer:
no
Step-by-step explanation:
369/100=3.69
849/100=8.49
3.69<8.49
Can someone help me with this?
Answer:
A=10 cm
B=5 cm
Area of square = 25 cm
Step-by-step explanation:
Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25
slope of the line (-3,-6) and (4,1)
Answer:
- 5 / 7
Step-by-step explanation:
1 - 6 = - 5
4 - - 3 = 7
What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?
A. (X-2)^2 = 4(y+5)
B. (Y+4)^2 = 4(x-2)
C. (X+2)^2 = 1/4(y+4)
D. (X-2)^2 = -1/4(y+5)
Answer:
A. (X-2)^2 = 4(y+5)
Step-by-step explanation:
Equation of parabola: (x-2)² = 4(y+5)
Thus option A is correct.
Given:
Focus at (2, -4) and a Directrix of y = -6
Here,
Let us suppose that there is a point (x, y) on the parabola.
Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²
Its distance from directrix y = -6 is |y + 6|
Therefore, the equation will be:
√(x - 2)² + (y + 4)² = |y + 6|
Squaring on both the sides,
(x - 2)² + (y + 4)² = (y + 6)²
x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36
(x-2)² = 4(y+5)
Therefore option A is correct.
Know more about parabola,
https://brainly.com/question/29203572
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4. Calculate the expected value for the spinner at right?
(3pts)
8
1200
24
6
Answer: The expected value is 12.44
Step-by-step explanation:
The expected value can be calculated as:
EV = ∑xₙ*pₙ
Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:
x₁ = 8
x₂ = 6
x₃ = 24
And pₙ is the probability of the n-th event.
For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).
First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:
p₁ = 90°/360° = 0.25
For outcome = 24, we have an angle of 120°, then the probability for this event is:
p₃ = (120°/360°) = 0.33
And the angle for the third arc must be such that:
90° + 120° + A = 360°
then:
A = 360° - 90° - 120° = 150°
Then the probability for the outcome = 6 is:
p₂ = (150°/360°) = 0.42
Now we can find the expected value as:
EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44
Simplify:-8у – (х- 4x) +3y
Answer:
=3x−5y
Step-by-step explanation:
Answer: =3x−5y
Step-by-step explanation:
Part A
The data in the line plots show the number of hours volunteers work each week for two different organizations. Find the measures of center and variability of the two sets of data.
Part B
What conclusions can you draw from the two sets of data? Select all that apply
A. Volunteers in organization B spend more time volunteering than volunteers in organization A
B. The median of organization A's data and organization B's data is the same
C. The range of organization B's data is greater than the range of organization A's data
D. The mean and the median of organization A's data are the same
E. The mean and the median of organization B's data are the same
Answer:
line plots do you mean number line, cos no pic is attached
7. How many terms are in the expression?
7q+6q + 2 .
(1 Point)
Answer:
3 terms
Step-by-step explanation:
Hi there!
Terms are constants or variables in an algebraic expression separated by plus and minus signs.
With this information, that means that 7q is a term, 6q is a term, and 2 is a term.
Without simplifying the expression, there are 3 terms.
I hope this helped!
Help please............
Answer:
-15 < -9 and |-9| < |-15| (the third one) is true.
Step-by-step explanation:
-15 is smaller than -9.
The absolute bars cancel out the negative sign.
9 is smaller than 15.
Which expression is equivalent to
42 + 3 x 4?
A 52 + 3
B 3x 4+43
C 3² +7+4
D 26 - 2 + 6
Answer:
A. 52+3
Step-by-step explanation:
52+3= 42 + 3 x 4 I hope this helps
Reflection over the x axis ;vertical shift down 7 units
How are the hypotenuse and legs of a right triangle related?
Answer:
The sum of the legs is equal to the hypotenuse.
Step-by-step explanation:
I hope that this helps u..
Answer:
The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).
5 time 6 is 30 but what is 5 time 123456789
Answer:
617283945?
Step-by-step explanation:
Answer:
617283945
Step-by-step explanation:
Simple: Use a Calculator
Then: Add an Answer
Find the value of x. Then find the measure of each labeled angle.
there is more i need to take more pictures of it
Will mark brainliest!!! Solve for x and round to the nearest tenth
Hi...
Co's 15=x/33...
Cos 15=0.96...
X=31.68
solve for c
c+d=15
3c+2d=36
Need help RIGHT NOW will mark brainliest
Multiply the top by -2 and just cross elimination the rest. Hope this helps.
Mikhael wanted to rewrite the conversion factor "1 yard ≈ 0.914 meter" to create a conversion factor to convert meters to yards. Complete the explanation to tell how Mikhael should finish his conversion. If necessary, round to three decimal places.
(select)
1 yard by 0.914 m gives the rate of yards per meter. So 1 meter ≈
yards.
plz need help
Answer:
[tex]1\ meter = 1.094\ yard[/tex]
Step-by-step explanation:
Given
[tex]1\ yard = 0.914\ meter[/tex]
Required
Create a convert meter to yard expression
[tex]1\ yard = 0.914\ meter[/tex]
Divide both sides by 0.914
[tex]\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}[/tex]
[tex]\frac{1\ yard}{0.914} = 1\ meter[/tex]
[tex]1.09409190372\ yard = 1\ meter[/tex]
[tex]1\ meter = 1.09409190372\ yard[/tex]
[tex]1\ meter = 1.094\ yard[/tex] --- approximated
Answer:
Step-by-step explanation:
Find the value of this expression if x=-9.
Answer:
if x = -9
then, (-9)×(-9) + 3
= 81 +3
= 84
(-9) + 6
= -3
so, ans is = 84/(-3)
= (-84)/3
A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)
Answer:
a) p*n = 46 and q*n = 454 data is enough for inference
b) CI = ( 0,099 ; 0,141)
c) CI we will find with 90% of confidence the value of p in that interval
d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education
Step-by-step explanation:
Information from A state´s Department of Education is:
p₀ = 12 % p₀ = 0,12
The State University sample:
Sample size n = 500
Sample proportion 46 out of 500
p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908
Both p*n = 46 and q*n = 454
a) Are big enough to approximate the binomial distribution to normal distribution
b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need
α/2 = 0,10/2 α/2 = 0,05
z(c) = - 1,64 ( from z-table)
MOE = z(c)*√(p*q)/n
MOE = 1,64 * √ ( 0,092*0,908)/500
MOE = 1,64 *√0,08353/500
MOE = 1,64 * 0,0129
MOE = 0,021
Then CI = 90 % is:
CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )
CI = ( 0,099 ; 0,141)
We have with 90 % of confidence for finding the value of p in the interval
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
we have for α = 0,1 z(c) = - 2,32 from z table
And z(s) = ( p - p₀ ) / √ (p*q)/n
z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500
z(s) = - 0,028 / 0,0129
z(s) = - 2,17
Comparing z(s) and z(c) we see that
|z(s)| < |z(c)|
So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education
what is 1/2 x 60 and what is 3/10 x 1,000
1/2 x 60 = 30 3/10 x 1000 = 300
cancel the common factor of 2 simpplify the expression
Answer:
1/2 x 60= 30 and 3/10 x 1,000= 3,000
Step-by-step explanation:
Fu times Amusement Park charges a $7 admission fee plus $1.75 per ride.
Julie goes to the amusement Park with $12.25. How many rides can she go?
1. 7
2. 3
3. 86
4. 2
Answer:
3 rides
Step-by-step explanation:
12.25 minus 7 equals 5.25.
5.25 divided by 1.75 equals 3 rides.
In conclusion it is 3 rides or option two.
Which graph is the graph of y-2=4(x+5)
Answer:
The answer is C
Answer:
A
Step-by-step explanation:
y=4(x+5)+2
y=4x+20+2
y=4x+22
The Y-intercept is going to be 22, so we can already eliminate D and C. and so the difference between A and B is that B is a negative line and A is not. And since the slope is not negative in the equation, B cannot be the answer, so A is the answer.
The inverse of F(x) is a function.
Answer:
Step-by-step explanation:
the word inverse refers to the opposite of another operation.
The inverse of the function f is denoted by f -1.
If you found my answer useful then mark me brainliest.
John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?
Answer:
900
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
(1,10), (18.-10) slope
Answer:
I think the slope is -20/17 hope this helps
An AutoCAD drawing has a scale of 3/4 inches to 2 ft. If a piece of a bridge measures 15 feet, how long is that piece in the AutoCAD printout?
11.25 inches
5.625 inches
22.5 inche
51 inches
Please I really need this for tonight
Answer:
B) 5.625 inches
Step-by-step explanation:
Can someone help me with this question?
Answer:it is A
Step-by-step explanation:
Emily bought 12 oranges from store to make orange juice. The total cost was $15. How much did each orange cost?
Answer: 1.25
Step-by-step explanation:
hope this helps !!
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Provide your answer below:
Answer:
Step-by-step explanation:
lets have one side =a
P=3a+a+(17+a)=52
P=5a+17=52
5a=52-17
5a=35
a=7
second side=21
third side=24