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3 years ago

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Max and Ben both collect baseball cards. Ben has more baseball cards than Max. The number of baseball cards Max has is m, and th

e number of baseball cards Ben has is b. Together, Max and Ben have a total of 86 baseball cards. Which of the following expressions is true?
A. m+1 < b+1
B. m-5 > b-5
C. 2m > b+m
D. m/b < 0

2 answers:

Bumek [7]3 years ago

7 0

Answer:

c

Step-by-step explanation:

Temka [501]3 years ago

3 0

Answer:

A) m + 1 < b + 1

Step-by-step explanation:

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There are 10 people in a room, including you. Each person in the room must shake hands one at a time, and only that one time, wi

Romashka [77]

Answer: There are 45 handshakes will occur.

Step-by-step explanation:

Since we have given that

Number of people in a room = 10

We need to find the number of handshakes that would occur.

Number of hands in each handshake require = 2

We will apply "Combination":

So, number of possible handshakes would be

$^{10}C_2=45$

Hence, there are 45 handshakes will occur.

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3 years ago

F(x)=-2x^4+x^3+5x^2-3x-7;x=-1

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Answer:

-2

Step-by-step explanation:

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3 years ago

Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2

Dima020 [189]

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
$y = \frac{1}{3} x + 2$
and

$y = - x - 2$

We need to graph the two equations.

Let us graph

$y = \frac{1}{3} x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
$x = 0$

$\Rightarrow \: y = \frac{1}{3} (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

$(0,2)$

When
$y = 0$
we get,

$0= \frac{1}{3} x + 2$

$\Rightarrow \: - 2 = \frac{1}{3} x$

$\Rightarrow \: - 2 \times 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

$y = - x - 2$

We again find the intercepts and plot them.

When
$x = 0$

$y = - 0 - 2$

$\Rightarrow \: y = - 2$

This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

You will get good grades so don't worry much.

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4 years ago

Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measur

xenn [34]

Answer:

$t=\frac{134.36-135.25}{\sqrt{\frac{15.71^2}{11}+\frac{6.23^2}{8}}}=-0.17$

$p_v =P(t_{(17)}$

So the p value is a very high value and using any significance level for example $\alpha=0,1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis and we have enough evidence to support the claim. Since the mean for Hylite is not significantly less than the mean for Permafresh.

Step-by-step explanation:

1) Data given and notation

Hylite:[140,139, 138 , 117, 141, 102, 127, 137, 164, 142, 131]

Permafresh:[124,144,136,133,139,132,141,133]

$\bar X_{Hylite}$ represent the mean for the sample Hylite

$\bar X_{permafresh}$ represent the mean for the sample LPermafresh

$s_{Hylite}$ represent the sample standard deviation for the sample Stick

$s_{Permafresh}$ represent the sample standard deviation for the sample Liquid

$n_{Hylite}=11$ sample size for the group Hylite

$n_{Permafresh}=8$ sample size for the group Permafresh

t would represent the statistic (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for Hylite is better for Hylie:

H0: $\mu_{Hylite} \geq \mu_{Permafresh}$

H1: $\mu_{Hylite} < \mu_{Permafresh}$

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{Hylite}-\bar X_{Perm}}{\sqrt{\frac{s^2_{Hylite}}{n_{Hylite}}+\frac{s^2_{Perm.}}{n_{LPerm.}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

3) Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

$\bar X_{Hylite}=134.36$ $s_{Hylite}=15.71$

$\bar X_{Permafresh}=135.25$ $s_{Permafresh}=6.23$

And with this we can replace in formula (1) like this:

$t=\frac{134.36-135.25}{\sqrt{\frac{15.71^2}{11}+\frac{6.23^2}{8}}}=-0.17$

4) Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test. The first step is calculate the degrees of freedom, on this case:

$df=n_{Hylite}+n_{Perm}-2=11+8-2=17$

Since is a left tailed test the p value would be:

$p_v =P(t_{(17)}$

So the p value is a very high value and using any significance level for example $\alpha=0,1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis and we have enough evidence to support the claim. Since the mean for Hylite is not significantly less than the mean for Permafresh.

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3 years ago

You recently received a 5% raise. Your old paycheck was $360 and your new paycheck is $396. Is the new amount correct? If not, w

liubo4ka [24]

No the new amount is not correct because 5% of 360, is 18. So 360+18=378

8 0

3 years ago

Read 2 more answers