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3 years ago

A man has a total of 200 apples divided evenly among 5 boxes. How many apples are in each box?

Mathematics

1 answer:

nadezda [96]3 years ago

4 0

Step-by-step explanation:

Number of apples = A

Number of boxes = B

Amount of apples in each box

$=\frac{A}{B}\\=\frac{200}{5}\\= 40$

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the middle School golf team is selling golf balls to raise $850 for new equipment they sell golf balls for $2 each a case has 24

aniked [119]

Answer:

The number of cases of golf ball that team needed to raise money for equipment is 3 .

Step-by-step explanation:

Given as :

The amount needed for new equipment = $850

The cost of each golf ball = $2

The number of packs of golf ball in each case = 24

The number of golf ball in each pack = 6

Let The number of cases of golf ball team needed to raise money for equipment = n cases

Now, According to question

∵ 1 pack has 6 balls

so, 24 pack has 6 × 24

i.e 24 packs has 144 balls

So, The number of balls in each case` = 144 balls

<u>Again</u>

∵ cost of 1 ball = $2

So, cost of 144 balls = $2 × 144

i.e cost of 144 balls in each case = $288

<u>Again</u>

∵ The amount needed for new equipment = $850

So, The number of cases of golf ball team needed to raise money for equipment = $\dfrac{amount needed for new equipmen}{cost of 144 balls in each case }$

Or, n = $\dfrac{850}{288}$

∴ n = 2.9 ≈ 3

So, The number of cases of golf ball that team needed to raise money for equipment = n = 3

Hence, The number of cases of golf ball that team needed to raise money for equipment is 3 . Answer

3 0

3 years ago

I accidentally pressed A

pav-90 [236]

Answer:

D 46x²+ 67x -16

Step-by-step explanation:

adding like terms

R1(x) + R2(x) = 16x²+52x-27 + 30x² + 15x + 11

total = 46x²+ 67x -16

6 0

3 years ago

Derivative of -3x^2+4x

RideAnS [48]

-6x + 4

Looking at the first term we know it's the power times the base to the power of to the original minus one.
(-3x×2)^(2-1) = -6x
Then the second term would just be the leading coefficient 4.

7 0

3 years ago

PLS HELP the FIRST PERSON TO ANSWER CORRECTLY I WILL MARK BRAINLIEST

Morgarella [4.7K]

Answer:

A. Zero

Step-by-step explanation:

12x+8=12x+8 - collecting like terms.

12x-12x=8-8

0=0

Hope it helps <3.

7 0

3 years ago

In a random sample of males, it was found that 28 write with their left hands and 210 do not. In a random sample of females, it

Drupady [299]

Answer:

a) Null hypothesis: $p_{M} \geq p_{W}$

Alternative hypothesis: $p_{M} < p_{W}$

b) $z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271$

c) $p_v =P(Z$

d) If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant lower than the proportion of female that write with their left hand

Step-by-step explanation:

1) Data given and notation

$X_{M}=28$ represent the number of men that write with their left hand

$X_{W}=62$ represent the number of women that write with their left hand

$n_{M}=210+28=238$ sample of male selected

$n_{W}=62+435=497$ sample of female selected

$p_{M}=\frac{28}{238}=0.118$ represent the proportion of men that write with their left hand

$p_{W}=\frac{62}{497}=0.125$ represent the proportion of women that write with their left hand

$\alpha=0.05$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the rate of left-handedness among males is less than that among females , the system of hypothesis would be:

Null hypothesis: $p_{M} \geq p_{W}$

Alternative hypothesis: $p_{M} < p_{W}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}$ (1)

Where $\hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{28+62}{238+497}=0.122$

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271$

4) Statistical decision

We have a significance level provided $\alpha=0.05$ , and now we can calculate the p value for this test.

Since is a one left side test the p value would be:

$p_v =P(Z$

If we compare the p value and the significance level given $\alpha=0.05, 0,1,0.15$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant loer than the proportion of female that write with their left hand .

6 0

3 years ago