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3 years ago

Which expression is equivalent to 1/4 Y - 1/2? PLEASE HELP!!!

Mathematics

2 answers:

N76 [4]3 years ago

8 0

Answer:

= -1 ÷ 4 ( y - 1 ÷ 2 )

......................................

algol133 years ago

4 0

Answer:

Option 2

Step-by-step explanation:

¼Y - ½

= ¼Y - 2/4

= ¼(Y - 2)

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A marathon is a race that is 46,145 is a yards long. round to the nearest thousand

Elina [12.6K]

Answer:

46,000 yards

Step-by-step explanation:

if in the hundreds place the number is 0-499 round down

if it's 500-999 round up

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3 years ago

Evan and Dorinda make bracelets for a craft fair.

trapecia [35]

Answer:

98 bracelets

Step-by-step explanation:

Dorinda makes 50 bracelets (5*8+10=50) and Evan makes 48 (6*8=48). 48+50=98

8 0

3 years ago

Help with this question please!

vova2212 [387]

V = 120 in^3

Here is why:

The volume formula for a pyramid is:

$V=\frac{1}{3}Bh$

The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.

The area formula for a triangle is:

$A=\frac{1}{2}bh$

Plug in the numbers.

$A=\frac{1}{2}*9*10$

A = 45

Now we have found the area of B, we can plug it into the volume formula for the pyramid.

$V=\frac{1}{3}*45*8$

V = 120 in^3

7 0

3 years ago

When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 943 peas, with 717 of them hav

pshichka [43]

Using the normal approximation to the binomial distribution, it is found that:

a) 0.242 = 24.2% probability of getting 717 or more peas with red flowers.

b) Since Z < 2, 717 peas with red flowers is not significantly high.

c) Since 717 peas with red flowers is not a significantly high result, we cannot conclude that the scientist's assumption is wrong.

For each pea, there are only two possible outcomes. Either they have a red flower, or they do not. The probability of a pea having a red flower is independent of any other pea, which means that the binomial distribution is used to solve this question.

Binomial distribution:

Probability of x successes on n trials, with p probability.

Normal distribution:

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

If Z > 2, the result is considered significantly high.

If $np \geq 10$ and $n(1-p) \geq 10$ , the binomial distribution can be approximated to the normal with:

$\mu = np$

$\sigma = \sqrt{np(1-p)}$

In this problem:

943 peas, thus, $n = 943$
3/4 probability of being red, thus $p = \frac{3}{4} = 0.75$ .

Applying the approximation:

$\mu = np = 943(0.75) = 707.25$

$\sigma = \sqrt{np(1-p)} = \sqrt{943(0.75)(0.25)} = 13.297$

Item a:

Using continuity correction, this probability is $P(X \geq 717 - 0.5) = P(X \geq 716.5)$ , which is 1 subtracted by the p-value of Z when X = 716.5.