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3 years ago

Which statement is true about the difference 2 square root of 7 − square root of 26?

Mathematics

1 answer:

lora16 [44]3 years ago

7 0

2√7 - √26 ≈ 5.29150262213... - 5.09901951359...

... ≈ 0.19248310854...

The result is an irrational number not described by any of your answer selections.

None of the statements is true.

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What is the slope intercept from for 16x+9y=40

Doss [256]

Answer:

$y = (- \frac{16}{9})x + \frac{40}{9}$ is the slope intercept form for 16x+9y=40

Step-by-step explanation:

Here, the given equation is 16 x + 9 y = 40

Now, the slope intercept form of an equation is y = mx + c,

here m = slope of the equation, b = y - intercept

So, now 16x + 9y = 40 on simplification gives

9y = 40 - 16x

or $y = \frac{40 - 16x}{9} = \frac{40}{9} - \frac{16x}{9}$

or, $y = (- \frac{16}{9})x + \frac{40}{9}$ is the slope intercept form of the given equation.

Here, m = (-16/9) and y- intercept = 40/9

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3 years ago

Lynna [10]

Answer:

Step-by-step explanation:

greatest spread for the middle 50% of data refers to the IQR, or interquartile range

A) IQR = 5

B) IQR = 5

C) IQR = 7

D) IQR = 6

6 0

3 years ago

Please help! It’s due soon!

o-na [289]

vertex (1,-1) axis of symmetry is x=1, domain all real numbers (i think neg ys) range y is less equal than -1, y increases as x less 0 bug IMO x decreases

3 0

3 years ago

What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean

Elena-2011 [213]

Answer:

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

Step-by-step explanation:

The following information is missing:

The standard deviation of population is 100.

We are given the following information in the question:

Population mean, μ = 502

Standard Deviation, σ = 100

Sample size, n = 90

Standard error =

$\dfrac{\sigma}{\sqrt{n}} = \dfrac{100}{\sqrt{90}} = 10.54$

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(test score within 10 points)

$P(492 \leq x \leq 512) \\\\= P(\displaystyle\frac{492 - 502}{10.54} \leq z \leq \displaystyle\frac{512-502}{10.54}) \\\\= P(-0.9487 \leq z \leq 0.9487)\\= P(z \leq 0.9487) - P(z < -0.9487)\\= 0.829 -0.171 = 0.658 = 65.8\%$

$P(492 \leq x \leq 512) = 65.8\%$

0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.

7 0

3 years ago

7^16/7^12=7^-18/? what is the missing denominator

creativ13 [48]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\$

$\bf \cfrac{7^{16}}{7^{12}}=\cfrac{7^{-18}}{x}\implies x\cdot 7^{16}=7^{12}\cdot 7^{-18}\implies x\cdot 7^{16}=7^{12-18}
\\\\\\
x\cdot 7^{16}=7^{-6}\implies x=\cfrac{7^{-6}}{7^{16}}\implies x=\cfrac{7^{-6}\cdot 7^{-16}}{1}\implies x=7^{-6-16}
\\\\\\
\boxed{x=7^{-22}}\implies x=\cfrac{1}{7^{22}}$

4 0

3 years ago