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1 year ago

Solve the inequality -3x<54

Mathematics

1 answer:

kifflom [539]1 year ago

6 0

Answer:

x<-18

Step-by-step explanation:

you divide -3 by both sides.

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How do you simplify fractions in the easiest way

MArishka [77]

Answer:

Divide them by numbers they have in common.

Step-by-step explanation:

8 0

2 years ago

Which table shows the correct methods used to justify the solution steps?

EleoNora [17]

Answer:

x = 8

Step-by-step explanation:

Step 1 : Simplify the equation

3(x-5) + 7x = 65

3x - 15 + 7x = 65

Step 2 : Make x the subject

3x + 7x = 65 + 15

10x = 80

x = 80/10

x = 8

8 0

2 years ago

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A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A

Fittoniya [83]

Answer: C

Step-by-step explanation:

Given:

Sample size (n) = 50

x = 12

$\widehat{\mathbf{p}}=\frac{\mathbf{x}}{n}=\frac{12}{50}=0.24$

Confidence level = 90%

α = 1 − 0.90 = 0.10

α/2 = 0.05

$\text { Critical value }\left(z_{c}\right)=z_{\frac{\alpha}{2}}=z_{0.05}=1.6449$

(from standard normal table)

90% Confidence interval is,

$\begin{aligned}&\text { Confidence interval }=\widehat{\mathbf{p}} \pm z_{c} \times \sqrt{\frac{\hat{\mathbf{p}}(1-\hat{\mathbf{p}})}{n}} \\&\text { C. I }=0.24 \pm 1.6449 \times \sqrt{\frac{0.24(1-0.24)}{50}} \\&\text { C. I }=0.24 \pm 1.65 \times \sqrt{\frac{0.24(1-0.24)}{50}}\left\end{aligned}$

Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C

6 0

2 years ago

Kevin works as a cook. He earns $1,628.14 every 8 weeks. About how much does Kevin earn per week? A About $250.00 per week B Abo

Dovator [93]

You have to divide but it is hard I estimate about1068

4 0

2 years ago

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Find the height of the triangle 10 points!

Scorpion4ik [409]

By the 6 trigonometric ratios in a right triangle

(sine, cosine, tangent, cotangent, secant, cosecant)

we have the following:

$\displaystyle{ sin20^o= \frac{opposite \ side}{hypothenuse}= \frac{x}{10}$

So, $x=10\cdot sin20^o$

sin20° must be given, or can be found using a calculator:

Using the calculator of our pc: Calculator- view:Scientific- press 20 then sin button, we find : sin20°=0.342

$x=10\cdot sin20^o=10\cdot0.342=3.42$

Answer: A)3.4

4 0

3 years ago

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