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Vinvika [58]
3 years ago
6

Rewrite in simplest terms: (9x+5)-(-2x+10)(9x+5)−(−2x+10)

Mathematics
1 answer:
Blababa [14]3 years ago
3 0

\implies {\blue {\boxed {\boxed {\purple {\sf {  18 {x}^{2}  - 69x - 55}}}}}}

\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}

= (9x + 5) - ( - 2 x+ 10)(9x + 5) - ( - 2x + 10)

= (9x + 5)  + 2x (9x + 5) - 10(9x + 5) - ( - 2x + 10)

= 9x + 5 + 18 {x}^{2} + 10  x- 90x - 50 + 2x - 10

Collect the like terms.

= 18 {x}^{2}   + (9x   + 10x- 90x + 2x) + (5  - 50 - 10)

= 18 {x}^{2}   + (21x - 90x) +(5 - 60)

= 18 {x}^{2}  - 69x - 55

<h3>\boxed{    Note:}</h3>

\sf\pink{PEMDAS\: rule.}

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}

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HELP!! joels apartment building is 42 ft tall and casts a shadow of 20ft. If Joel is 6 ft tall, how long is his shadow
zhenek [66]

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows create 2 similar right-angled triangles.

that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.

so,

42 × f = 6

f = 6/42 = 1/7

the length of Joel's shadow is then

20 × f = 20 × 1/7 = 2.857142857... ft

5 0
3 years ago
A random sample of 150recent donations at a certain
gtnhenbr [62]

Answer:

Null hypothesis:p\geq 0.4  

Alternative hypothesis:p < 0.4  

z=\frac{0.3 -0.4}{\sqrt{\frac{0.4(1-0.4)}{150}}}=-2.5  

p_v =2*P(Z  

If we compare the p value obtained and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that the true proportion is not significantly lower than 0.4 or 40% at 1% of significance.  

Step-by-step explanation:

1) Data given and notation  

n=150 represent the random sample taken

X=45 represent the people with type A blood

\hat p=\frac{45}{150}=0.3 estimated proportion of people with type A blood

p_o=0.4 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of people type A blood is less than 0.4:  

Null hypothesis:p\geq 0.4  

Alternative hypothesis:p < 0.4  

When we conduct a proportion test we need to use the z statisitc, 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.

3) Calculate the statistic  

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

z=\frac{0.3 -0.4}{\sqrt{\frac{0.4(1-0.4)}{150}}}=-2.5  

4) Statistical decision  

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=0.01. 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  

If we compare the p value obtained and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that the true proportion is not significantly lower than 0.4 or 40% at 1% of significance.  

7 0
3 years ago
a local newspaper assigns a rating between 1 and 10 to every book and movie it reviews. Victor gathered data about five titles w
Nookie1986 [14]

The points that represent this data are shown in the image attached below.

<h3>What is a scatter plot?</h3>

A scatter plot is a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

Based on the information provided in table above, the points that represent this data are shown in the image attached below.

Read more on scatterplot here: brainly.com/question/6592115

#SPJ1

3 0
2 years ago
Participant A did 120 jumping jacks in 10 minutes. Participant B did
Dovator [93]

Answer:

Participant A

Step-by-step explanation:

Rate: jumping jacks per minute

Rate of A: 120jjs / 10mins = 12 jumping jacks per minute

Rate of B: 140jjs / 14mins = 10 jumping jacks per minute

7 0
3 years ago
**BRAINLY** HELP NEEDED ASAP
forsale [732]

Step-by-step explanation:

increase in Tyler's pay = 16 - 14 = 2

% increase in Tyler's pay = 2/14 × 100 = 14.3%

Increase in Allies' pay = 18 - 16 = 2

% increase in Allies'pay = 2/16 × 100 = 12.5%

hence the right option is:

3).The percent increase Tyler's pay rate is greater than Allies'.

Increase in Martin's pay = 15.00 - 13.50 = 1.50

% increase in Martin's pay = 1.50/13.50 = 11.1%

7 0
3 years ago
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