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Goshia [24]
3 years ago
11

formula">

Have a happy holiday!
Mathematics
2 answers:
AnnyKZ [126]3 years ago
4 0

Answer: X=11

thank you!!! happy holidays!! :}

dybincka [34]3 years ago
3 0

Answer:  x=11

Step-by-step explanation:  3x+42=75

Step 1: Subtract 42 from both sides.

3x+42−42=75−42

3x=33

Step 2: Divide both sides by 3.

3x

3

=

33

3

x=11

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Use elimination to solve each system below.
aliina [53]

Answer:

System 1 : {3,0};  System 2 : {6,-2}

Step-by-step explanation:

2x + 3y = 6

-2x - y = -6

2y = 0

y = 0

-2x = -6

x = 3

system 2

2x + 3y = 6

2x + 2y = 8

y = -2

2x -4 = 8

2x = 12

x = 6

6 0
2 years ago
Approximately how much more quickly (in mph) does a pilot traveling 400 mph and rising at an angle of 30o gain altitude versus a
REY [17]
We can find the height of the altitude by the ratio of sin. See my attachment.
sin of angle = side in front of the angle / hypotenuse
sin x = height/distance

If the two pilot is rising in an hour, then the first distance is 400 miles, the second distance is 300 miles.

Find the height of first pilot
height/distance = sin x 
height/400 = sin 30°
height = sin 30° × 400
height = 1/2 × 400
height = 200

Find the height of second pilot
height/distance = sin x 
height/300 = sin 40°
height = sin 40° × 300
height = 0.642 × 300
height = 192

So the first pilot traveling 400 mph with 30° is more quickly to reach high altitude than the second pilot traveling 300 mph with 40°

3 0
3 years ago
In a study of the accuracy of fast food drive-through orders, McDonald’s had 33 orders that were not accurate among 362 orders o
melomori [17]

Answer:

A. We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B. Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

C. z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D. z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

E. Fail to the reject the null hypothesis

F. So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.  

Step-by-step explanation:

Data given and notation

n=362 represent the random sample taken

X=33 represent the number of orders not accurate

\hat p=\frac{33}{363}=0.0912 estimated proportion of orders not accurate

p_o=0.10 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

A: Write the claim as a mathematical statement involving the population proportion p

We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B: State the null (H0) and alternative (H1) hypotheses

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

C: Find the test statistic

Since we have all the info required we can replace in formula (1) like this:  

z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D: Find the critical value(s)

Since is a bilateral test we have two critical values. We need to look on the normal standard distribution a quantile that accumulates 0.025 of the area on each tail. And for this case we have:

z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

P value

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z  

E: Would you Reject or Fail to Reject the null (H0) hypothesis.

Fail to the reject the null hypothesis

F: Write the conclusion of the test.

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.  

6 0
3 years ago
Please help me asap with this question
Luden [163]

Answer:

(-2a, -2b)

Step-by-step explanation:

Using the midpoint formula, the coordinates of E are \left(\frac{-3a-a}{2}, \frac{b-5b}{2} \right)=(-2a, -2b).

7 0
1 year ago
I need the function for the volume of the box for number 1
rjkz [21]

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

3 0
2 years ago
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