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dimaraw [331]
2 years ago
8

X + 8(y + 4) − (5y − x)

Mathematics
2 answers:
Anna11 [10]2 years ago
5 0

Answer:

2x+3y+32

Step-by-step explanation:

Gnom [1K]2 years ago
4 0

Answer: the answer is

Step-by-step explanation:

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Anton [14]

Answer:

8.77777777778

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Please please help please ASAP
Vedmedyk [2.9K]

Answer:

VT = 50√3 , PT = 50

Step-by-step explanation:

Given

PV = 100

With reference angle 60°

hypotenuse (h) = 100

perpendicular (p) = ?

Now

Sin 60° = p/h

√3 / 2 = p / 100

p = √3 * 100 / 2

p = 50√3

Also

With reference angle 30°

hypotenuse (h) = 100

perpendicular (p) = ?

sin 30° = p/h

1/2 = p / 100

p = 100 / 2

p = 50

Hope it will help :)

8 0
3 years ago
Which of the following expressions represents 24C12?
lana [24]
24C12=\frac{24!}{12!12!}
8 0
3 years ago
Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 5% in interest and the other pa
blagie [28]

a = amount invested at 5%

b = amount invested at 2%

now, we know the total invested by Mr Wilson was 20000, so whatever "a" and "b" might be, we know that a + b = 20000.

a + b = 20000\implies b = 20000-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{5\% of a}}{\left( \cfrac{5}{100} \right)a}\implies 0.05a~\hfill \stackrel{\textit{2\% of b}}{\left( \cfrac{2}{100} \right)a}\implies \begin{array}{llll} 0.02b\\\\ \stackrel{substituting}{0.02(20000-a)} \end{array}

now, we know the total of earned interest is 550 bucks, so then

0.05a~~ + ~~0.02(20000-a)~~ = ~~550\implies 0.05a+400-0.02a=550 \\\\\\ 0.03a+400=550\implies 0.03a=150\implies a=\cfrac{150}{0.03}\implies a=5000 \\\\\\ ~\hspace{24em}\stackrel{20000~~ - ~~5000}{b=15000}

5 0
1 year ago
To test if the mean IQ of employees in an organization is greater than 100, a sample of 30 employees is taken and the value of t
ivolga24 [154]

Answer:

p_v =P(t_{(29)}>1.42)=0.0831  

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

Step-by-step explanation:

Information given

We want to verify if he mean IQ of employees in an organization is greater than 100 , the system of hypothesis would be:  

Null hypothesis:\mu \leq 100  

Alternative hypothesis:\mu > 100  

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

The statistic calculated for this case  t_{calc}= 1.42

The degrees of freedom are given by:

df=n-1=30-1=29  

Now we can find the p value using tha laternative hypothesis and we got:

p_v =P(t_{(29)}>1.42)=0.0831  

For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

5 0
3 years ago
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