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motikmotik
3 years ago
8

Question in the picture!

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Ksju [112]3 years ago
4 0

Answer:

The answer is D 2 9/10

Step-by-step explanation:

Convert the Mixed numbers into improper fractions

then find the LCD (lowest common denominator) and  combine

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Write a word problem involving fractions for which you would use the work backward strategy and addition to solve. Include solut
Delicious77 [7]
Mrs. Annie went to a store, spent half of her money and then $10 more. She went to a second store, spent half of her remaining money and then $10 more. But she then had no money left. How much money did she have to begin with when she went to the first store?
Answer: $60
7 0
3 years ago
In recent commercials Toyota claimed that 80% of its vehicles sold in the past 20 years are still on the road. You work for an a
Anvisha [2.4K]

Answer:

Step-by-step explanation:

We have to perform one sample proportion test. To do so we have to proceed through following steps.

(1) We have to collect data about vehicle sales in last 20 years.

(2) Using random number table or random number generator or otherwise we have to select sample of vehicles from the list of sale. In this step, we have to keep an eye on the fact that sample is to be selected from all years (all of 20). Using stratified random sampling by dividing vehicles sold over different years is an effective way to do so. That means, we may divide vehicles sold into 20 homogeneous strata over 20 years and select sample from each strata.

(3) After selecting sample of vehicles we have to communicate to corresponding vehicle owners to gather information about that particular vehicle.

(4) We have to note number of vehicles which are still on the road.

Suppose, we have selected  n vehicles as sample and after communicating we found that \tiny r of those are still on the road.

We have to test for null hypothesis H_0:p=0.80

against the alternative hypothesis H_1 \neq 0.80

Our test statistic is given

z=\frac{\hat p - p_0}{\sqrt{p_0(1-p_0)/n} }

here,

\hat p =\frac{r}{n}

p_0 =0.80

z=\frac{r/n-0.80\sqrt{n} }{0.40} \\\\=2.5(\frac{r}{n} -0.8)\sqrt{n}

We then calculate corresponding p-value.

We reject our null hypothesis if \text{p-value} , level of significance.

According to our obtained p-value and level of significance we proceed to certain conclusion.

8 0
3 years ago
A parabola can be drawn given a focus of (5, -3) and a directrix of y=1. Write the equation of the parabola in any form.
Anna71 [15]

Answer:

(x²-10x+33)/(-8) = y

Step-by-step explanation:

The distance between any point on a parabola from both its focus and directrix are the same.

Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,

\sqrt{(x-5)^2+(y-(-3))^2}is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.

Equating the two equations given, we have

\sqrt{(x-5)^2+(y-(-3))^2} = |y-1|

square both sides to get

(x-5)²+(y+3)²=(y-1)²

expand the y components

(x-5)² + y²+6y+9 = y²-2y+1

subtract y²+6y+9 from both sides

(x-5)² = -8y - 8

expand the x components

x²-10x+25 = -8y - 8

add 8 to both sides to isolate the -8y

x²-10x+33 = -8y

divide both sides by -8 to isolate y

(x²-10x+33)/(-8) = y

6 0
2 years ago
If f(x)=4x^2+1 and g(x)=x^2-5 find(f+g)(x)
Zepler [3.9K]

Answer:

\large\boxed{(f+g)(x)=5x^2+6}

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6

6 0
3 years ago
laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent d
ycow [4]

Answer:

18.75%

Step-by-step explanation:

Green beans = 160 pounds

Amount sold in 1 hour = 10 pounds

Amount sold in 3 hours = 3x10= 30 pounds

Decrease in 3 hours = 30 pounds

% decrease = (30/160) x 100

=300/16

=75/4

=18.75%

7 0
3 years ago
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