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3 years ago

Pleaseeeeee helpppppppp i will mark brainlest

Mathematics

2 answers:

OlgaM077 [116]3 years ago

8 0

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180°. Therefore,

x - 11 + 48 + 90 = 180

x + 127 = 180

x = 53°

RideAnS [48]3 years ago

8 0

Answer:

x = 53

Step-by-step explanation:

Using the information that angles in a triangle add up to 180°, we can set up and equation to find the value of x

⇒ Use the information that angles in a triangle add up to 180°, form an equation

→ x - 11 + 48 + 90 = 180

⇒ Simplify

→ x + 127 = 180

⇒ Minus 127 from both sides to isolate x

→ x = 53

We can substitute the value of x back into x - 11 + 48 + 90 = 180 to see if our value of x is correct, if we end up on 180 on both sides then the value of x is correct

→ x - 11 + 48 + 90 = 180

⇒ Substitute in the value of x

→ 53 - 11 + 48 + 90 = 180

⇒ Simplify

→ 180 = 180

This means that x = 53 is correct

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3 years ago

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likoan [24]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

Please help asap I will give brainliest!

Nonamiya [84]

Answer:

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Step-by-step explanation:

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2 years ago

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A lab is testing the amount of a certain active chemical compound in a particular drug that has been recently developed. The man

Mazyrski [523]

Answer:

The 95% confidence interval is "87.94, 91.86".

Step-by-step explanation:

The given values are:

Sample batches,

n = 25

Sample mean concentration,

$\bar{x}$ = 89.9 mg

Amount of chemical,

σ = 5

α = 0.05

The critical value from Z table will be:

= $Z(\frac{\alpha}{2} )$

= $Z(\frac{0.05}{2} )$

= $1.96$

Now,

The confidence interval will be:

= $\bar{x} \pm Z(\frac{\alpha}{2} )\times \frac{\sigma}{\sqrt{n} }$

On substituting the values, we get

= $89.9 \pm Z(\frac{0.05}{2})\times \frac{5}{\sqrt{25}}$

= $89.9 \pm Z(\frac{0.05}{2})\times \frac{5}{5}$

= $89.9 \pm1.96\times 1$

Lower limit will be:

= $89.9 -1.96\times 1$

= $87.94$

Upper limit will be:

= $89.9 +1.96\times 1$

= $91.86$

7 0

3 years ago

y varies jointly as x and z. y equals 80y=80 when x equals 5x=5 and z equals 4z=4. Find y when x equals 4x=4 and z equals 6z=6.

Lubov Fominskaja [6]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{\underline{y} varies jointly as \underline{x} and \underline{z}}\implies y=kxz
\\\\\\
\textit{we also know that }
\begin{cases}
y=80\\
x=5\\
z=4
\end{cases}\implies 80=k(5)(4)\implies 80=20k
\\\\\\
\cfrac{80}{20}=k\implies 4=k\qquad thus\qquad \boxed{y=4xz}\\\\
-------------------------------\\\\ if~\begin{cases}
x=4\\
z=6
\end{cases}~\textit{what is \underline{y}?}\qquad y=4(4)(6)$

7 0

3 years ago