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2 years ago

What is the whole number quotient and reminder for 32÷6

Mathematics

1 answer:

77julia77 [94]2 years ago

3 0

Answer: whole number is 5 and remainder is 2

Step-by-step explanation:

six goes into 32 5 times to get 30

32-30=2

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Which expression is a factor of x² − 5x − 6?

7nadin3 [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

find the length of each isosceles right triangle when the hypotenuse is of the given measure given 8cm

Wewaii [24]

It is given that the triangle is isosceles right triangle . And in an isosceles right triangle the legs are equal . Let each leg be of x units. Now we use pythagorean identity, which is

$a^2 +b ^2=c^2$

$x^2 +x^2 = 8^2$

$2x^2 = 64$

$x^2 = 32$

$x = 4 \sqrt 2$

So the length of each leg is $4 \sqrt 2 .$

4 0

3 years ago

Which of these functions has the same graph but shifted to the left?

kogti [31]

Step-by-step explanation:

the second and the 6th options keep the same graph but shift it to the left.

the other options :

the first option changes the graph (the factor -2 stretched and flips the graph).

the third and the 5th options shift the graph up and down. but not to the left.

the 4th option shifts it to the right.

when you add a constant inside the x terms, you shift to the left.

when you subtract a constant inside the x terms, you shift to the right.

e.g. when having f(x+2), then everything, that should happen at x+2 happens already at x. 2 units earlier, and therefore a shift to the left.

in the other direction, f(x-2) makes everything that should have happened at x-2 happen finally at x. so, everything shifts 2 units to the right.

6 0

2 years ago

Rachel is 2 miles northwest of her house. If she begins walking south at a rate of 3 miles per hour, which set of parametric equ

VikaD [51]

I think the answers is B

5 0

3 years ago

In a survey of 468 registered voters, 152 of them wished to see Mayor Waffleskate lose her next election. The Waffleskate campai

wariber [46]

Answer: b. Yes

Step-by-step explanation: Confidence Interval for a population proportion is calculated as:

p ± $z\sqrt{\frac{p(1-p)}{n} }$

where

p is the sample proportion

n is sample size

z is z-score, in this case, as it is 95%, z-score=1.96

Calculating confidence interval:

$p=\frac{152}{468}$

p = 0.3248

0.3248 ± $1.96\sqrt{\frac{0.3248(0.6752)}{468} }$

0.3248 ± $1.96\sqrt{0.000468}$

0.3248 ± 0.0425

Interval: 0.2823 < μ < 0.3673

The interval means we are 95% sure the true mean is between 0.2823 and 0.3673. As the campaign claims a proportion of no more than 0.32 of the voters wants to see Mayor Waffleskate defeated and the number is in the confidence interval, the claim is supported.

4 0

3 years ago