11 coommon factor of

Answers

Answer 1

Answer: 1? Isn’t it like a prime number

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Find the slope of the line that contains the points:
(-6, 3) and (-4, 5).

Answers

Answer:

slope m=1

Step-by-step explanation:

m=y2-y1/x2-x1

m=5-3/-4-(-6)

m=5-3/-4+6

m=2/2

m=1

For #7 Find the measure of each numbered angle in the rectangle?

Answers

Answer:

1= 29

2= 61

3= 90

4= 29

5= 90

Step-by-step explanation:

A rectangle has 4 - 90 degree angles. This means angles 3 and 5 are 90. This means the other angle will be split into two parts that add together to 90. If one is 61 then the other is 29. This is angle 4. This means angle 2 is 61 and angle 1 is 29 because rectangles have parallel sides.

A cryptarithm is a math puzzle in which the digits in a simple equation are replaced with letters. Each digit is represented by only one letter, and each letter represents a different digit. So, for example, we might represent 51+50 = 101 as AB + AC = BCB. In the cryptarithm SEND + MORE = MONEY, what digit does the letter Y represent?

Answers

Answer:

$\large \boxed{\sf \begin{aligned}9567&\n+1085&\n----&-\n10652&\n\end{aligned}}$

Step-by-step explanation:

Hello, let's do it step by step and see what we can find.

$\begin{aligned}\text{ SEND}&\n+\text{ MORE}&\n-----&-\n\text{ MONEY}&\n\end{aligned}$

We assume that M is different from 0, otherwise we could find several different solutions I would think.

It means that S + M is greater than 10, otherwise the number of digit of the result would have been 4 and not 5.

The only possible number for M is then 1. M = 1

$\begin{aligned}\text{ SEND}&\n+\text{ \boxed{1}ORE}&\n-----&-\n\text{ \boxed{1}ONEY}&\n\end{aligned}$

But then, S can only by 9, otherwise S + 1 < 10. S = 9

S + 1 = 10 + O if there is no carry over, so S = 9 + O

1 + S + 1 = 10 + O if there is a carry, so S = 8 + O

So O = 0 or O = 1. Wait !? M is already equal to 1 so O must be 0

E cannot be equal to N so 1 + E = N, meaning that there must be a carry over from column second from the right.

and E < 9 as we know that there is no carry over from column 3 from the right.

N + R = 10 + E => 1 + E + R = 10 + E => R = 9, impossible, as S=9

or 1 + N + R = 10 + E => 1 + 1 + E + R = 10 + E => R = 8

And there is a carry over from the column 1 from the right, so:

Y cannot be 0 or 1, as already used so D + E > 11

8 and 9 are already taken so we could have 7 + 5 = 12, 7 + 6 = 13 and that's it.

It means that E is 7 or D is 7.

If E is 7 then E+1=9=N, impossible, so D = 7

Then, E is 5 or 6

if E = 6 E + 1 = N = 7, impossible, so E = 5 and N = 6.

And 7 + 5 = 12 so Y = 2.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so he changed his dough to a newer product. Using the old dough, there were 6 complaints out of 385 pizzas. With the new dough, there were 16 complaints out of 340 pizzas. Let p 1 be the proportion of customer complaints with the old dough and p 2 be the proportion of customer complaints with the new dough. State the competing hypotheses to determine if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough g

Answers

Answer:

$z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)((1)/(385)+(1)/(340))}}=-2.469$

Now we can calculate the p value with this probability:

$p_v =P(Z<-2.469)= 0.0068$

Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.

Step-by-step explanation:

Information provided

$X_(1)=6$ represent the complaints with the old dough

$X_(2)=16$ represent the complaints with the new dough

$n_(1)=385$ sample 1 selected

$n_(2)=340$ sample 2 selected

$p_(1)=(6)/(385)=0.0156$ represent the proportion of complaints with the old dough

$p_(2)=(16)/(340)=0.0471$ represent the proportion of complaints with the new dough

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value

Hypothesis to test

We want to verify if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough, the system of hypothesis would be:

Null hypothesis: $p_(1) \geq p_(2)$

Alternative hypothesis: $p_(1) < p_(2)$

The statitsic is given by:

$z=\frac{p_(1)-p_(2)}{\sqrt{\hat p (1-\hat p)((1)/(n_(1))+(1)/(n_(2)))}}$ (1)

Where $\hat p=(X_(1)+X_(2))/(n_(1)+n_(2))=(6+16)/(385+340)=0.0303$

Replacing the info provided we got:

$z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)((1)/(385)+(1)/(340))}}=-2.469$

Now we can calculate the p value with this probability:

$p_v =P(Z<-2.469)= 0.0068$

As a quality control manager for her distributing company, Zoe has 875.23 pounds of apples where she found 143.875 pounds of apples were rotten. How many pounds of fresh apples does she have? show your work.

Answers

Answer:

731.355

Step-by-step explanation:

875.230 - 143.875 = 731.355

apples rotten fresh

A projectile if fired from ground level with an initial velocity of 35 m/s at an angle of 35° with the horizontal. How long will it take for the projectile to reach the ground?

Answers

Answer:

about 4.097 seconds

Step-by-step explanation:

The vertical velocity is ...

(35 m/s)sin(35°) ≈ 20.075 m/s

When the projectile reaches the level from which it was launched (ground level), its final velocity will be the opposite of its initial velocity. Thus, the change in velocity is ...

-20.075 -(20.075) = -40.150 . . . . m/s

The acceleration is provided by gravity, which is -9.8 m/s², so the time required is ...

t = Δv/a = (-40.150 m/s)/(9.8 m/s²) ≈ 4.097 s

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An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed: _____mph Direction:______ ° If the airplane had encountered no wind at all, it would have reached its final destination in two hours along its original course. Assuming the pilot never corrected his course and that the wind continues to blow at the given speed and direction, how far from its final destination is the airplane after two hours of flying under the given conditions?____ miles