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3 years ago

15

Emily Cara and Kristy want to equally share a pack of gum. there are 10 pieces of gum in the pack. how many sticks of gum will e

ach person get

2 answers:

pochemuha3 years ago

8 0

Answer:

3 1/3

Step-by-step explanation:

10/3 = 3.33333333333333

3*3=9

10-9 =1

1/3 = 1/3

ElenaW [278]3 years ago

5 0

3 and 1/3 pieces of gum each

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3 years ago

Write the equation of a line with a slope of 3 and a y-intercept of 1

slega [8]

Answer:

y=3x+1

Step-by-step explanation:

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3 years ago

It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?

IRINA_888 [86]

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3 years ago

Solve the equation 2x^2+8x-1=o by completing the square. Give your answer to 2 decimal places

VMariaS [17]

Answer:

$\boxed{\sf \ \ \ x=-4.12 \ or \ x=0.12 \ \ \ }$

Step-by-step explanation:

Hello,

step 1 - we divide all terms by 2

$2x^2+8x-1=0 x^2+4x-\dfrac{1}{2}=0$

step 2 - we complete the square

we can notice that

$x^2+4x=(x+2)^2-4$

so

$2x^2+8x-1=0 x^2+4x-\dfrac{1}{2}=0(x+2)^2-4-\dfrac{1}{2}=0\\$

step 3 - we move the constant term to the right of the equation

$(x+2)^2-4-\dfrac{1}{2}=0\\\\ (x+2)^2=4+\dfrac{1}{2}=\dfrac{8+1}{2}=\dfrac{9}{2}$

step 4 - we take the square root on both sides of the equation

$x+2=\sqrt{\dfrac{9}{2}}$

or

$x+2=-\sqrt{\dfrac{9}{2}}$

step 5 - we subtract 2 from both sides

$x+2=\sqrt{\dfrac{9}{2}} x=\dfrac{3}{\sqrt{2}}-2=0.12132...$

or

$x+2=-\sqrt{\dfrac{9}{2}} x=-\dfrac{3}{\sqrt{2}}-2=-4.12132...$

so the solutions are 0.12 and -4.12

hope this helps

7 0

3 years ago

A set of data values is normally distributed with a mean of 90 and a standard deviation of 4. Give the standard score and approx

vampirchik [111]

Answer:

Standard score of -0.25.

A data value of 89 is approximately in the 40th percentile.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 90, \sigma = 4$

Give the standard score and approximate percentile for a data value of 89.

Z when X = 89

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{89 - 90}{4}$

$Z = -0.25$

$Z = -0.25$ has a pvalue of 0.4013.

So a data value of 89 is approximately in the 40th percentile.

4 0

3 years ago