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2 years ago

What is the value of x? X 35 85 Write your answer in the box.

Mathematics

1 answer:

SashulF [63]2 years ago

7 0

Answer:

-15

Step-by-step explanation:

since there's a difference of 50 between 35 and 85, there'll be a difference of 50 between X and 35 too.

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Trig please help

enot [183]

Answer:

One

Step-by-step explanation:

9/sin(34) = 6/sinC

sinC = 0.372795269

C = 21.9, 158.1

Since 158.1 + 34 = 192.1 > 180

It will not form a triangle

So,

Only one triangle with angle 21.9° at C

5 0

3 years ago

Evaluate the given expression 9P6

iogann1982 [59]

Answer:

60480

Step-by-step explanation:

$nPr=\frac{n!}{\left(n-r\right)!}\\\\nPr=\frac{9!}{\left(9-6\right)!}=nPr=\frac{9!}{\left3\right!}=\frac{9*8*7*6*5*4*3*2*1}{3*2*1}=60480$

8 0

3 years ago

In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval

Vikki [24]

Answer: 0.49 ± 0.0237

Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:

$p_{hat}$ ± z. $\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }$

$p_{hat}$ is the proportion:

$p_{hat}$ = $\frac{1455}{2957}$

$p_{hat}$ = 0.49

For a 99% confidence interval, z = 2.576:

0.49 ± 2.576. $\sqrt{\frac{0.49(1-0.49)}{2957} }$

0.49 ± 2.576. $\sqrt{\frac{0.49*0.51}{2957} }$

0.49 ± 2.576.(0.0092)

0.49 ± 0.0237

For a <u>99% confidence interval</u>, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237

7 0

3 years ago

Find the equation of the line that is parallel to the given line and passes through the given point

Sati [7]

Answer:

$\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}$

$\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}$

$x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1$

$\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4$

5 0

3 years ago

Nico had 31/2 yards of fabric. He used 2/3 yard to make a pillow cover and 1/3 yard to make a scarf. How much fabric does Nico h

Mila [183]

Answer:

Nico has 2 1/2 yards left

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers