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3 years ago

13

Is p=7 a solution of the equation 4p - 5 =16

2 answers:

OLEGan [10]3 years ago

8 0

No because when you substitute the variable into the equation it doesn’t give you 16

Ann [662]3 years ago

7 0

No.

4p - 5 = 16

Isolate the variable and the constant.

4p = 21

p = 21/4

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Number sense: <br> In division, why should the remainder not be greater than the divisor?

adell [148]

Answer:because in division you should be going down, the complete opposite of multiplying,if your answer is above yuo are incorrect

6 0

3 years ago

Please helpp mee :))

aliya0001 [1]

Answer:

88%

Step-by-step explanation:

22/25 = 0.88

0.88 x 100 = 88%

5 0

3 years ago

Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)

Artemon [7]

Answer:

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

Step-by-step explanation:

Let be $A = (-3,-6)$ and $B = (12, 4)$ endpoints of segment AB and $M$ a point located 7/10 the way from A to B. Vectorially, we get this formula:

$\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}$

$\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)$

By Linear Algebra we get the location of $M$ :

$\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)$

$\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A$

$\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot \vec B$

If we know that $\vec A = (-3,-6)$ and $\vec B = (12, 4)$ , then:

$\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)$

$\vec M = \left(-\frac{9}{10},-\frac{9}{5} \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)$

$\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5} \right)$

$\vec M = \left(\frac{15}{2} ,1\right)$

The coordinates of $M$ are $x = \frac{15}{2}$ and $y = 1$ .

6 0

4 years ago

A random sample of 1000 people was taken. Four hundred fifty of the people in the sample favored Candidate A. The 95% confidence

KatRina [158]

Answer:

The 95% confidence interval would be given (0.419;0.481).

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

X=450 represent the people in the sample favored Candidate A

$\hat p=\frac{450}{1000}=0.45$ estimated proportion of people in the sample favored Candidate A

$\alpha=0.05$ represent the significance level

Confidence =0.95 or 95%

p= population proportion of people in the sample favored Candidate A

Solution to the problem

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.5=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.45 - 1.96 \sqrt{\frac{0.45(1-0.45)}{1000}}=0.419$

$0.45 + 1.96 \sqrt{\frac{0.45(1-0.45)}{1000}}=0.481$

And the 95% confidence interval would be given (0.419;0.481).

We are confident (95%) that about 41.9% to 48.1% of the people are favored Candidate A.

3 0

3 years ago

+16-(24)+(-8+6)-(-12+4)=???

cupoosta [38]

16 - (24) + (-8 + 6) - (-12 + 4) =

-8 + (-8 + 6) - (-12 + 4) =

-8 + (-2) - (-12 + 4) =

-10 - (-12 + 4) =

-10 - (-8) =

-10 + 8 =

-2

Hope this helps!

8 0

3 years ago

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