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Simplify plzzzzzz 6(12m+12b-2b)

Slav-nsk [51]

How to get answer by Mimiwhatsup:

6(12m+12b−2b)

=(6)(12m+12b+−2b)

=(6)(12m)+(6)(12b)+(6)(−2b)

=72m+72b−12b

=60b+72m

6 0

2 years ago

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Question 26 pleaseee

LuckyWell [14K]

Answer:

The inequality is $55+10x\leq 105$

The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.

Step-by-step explanation:

Given: Cost of first hour rent of jet ski is $55

Cost of each additional 15 minutes of jet ski is $10

Jeremy can spend no more than $105

Assuming the number of additional 15-minutes increment be "x"

Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.

Lets put up an expression for total spending of Jeremy.

$\$55+ \$ 10\times x$

We also know that Jeremy can not spend more than $105

∴ Putting up the total spending of Jeremy in an inequality.

$\$ 55+\$10x\leq \$ 105$

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,

⇒ $\$ 55+\$10x\leq \$105$

Subtracting both side by 55

⇒ $\$ 10x\leq \$50$

Dividing both side by 10

⇒ $x\leq \frac{50}{10}$

∴ $x\leq 5$

Therefore, Jeremy can rent for $60\ minutes + 5\times 15\\= 60\ minutes + 75= 135\ minutes$

Jeremy can rent maximum of 135 minutes.

5 0

2 years ago

A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports

hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

$t = 3.054$

4

The p-value is $p-value = P(Z > 3.054) = 0.0011291$

5

The conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 51$

The first sample mean is $\mu_1 = 36$

The second sample size is $n_2 = 41$

The second sample size is $\mu_2 = 25$

The first standard deviation is $\sigma _1 = 21.4 \ g$

The second standard deviation is $\sigma _2 = 12.8 \ g$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu_1 = \mu_ 2$

The alternative hypothesis is $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }$

=> $t = \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51} + \frac{ 12.8^2}{41} } }$

=> $t = 3.054$

The p-value is mathematically represented as

$p-value = P(Z > 3.054)$

Generally from the z table

$P(Z > 3.054) = 0.0011291$

=> $p-value = P(Z > 3.054) = 0.0011291$

From the values obtained we see that $p-value < \alpha$ so the null hypothesis is rejected

Thus the conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0

2 years ago

The diagram shows a right-angled triangle.

Otrada [13]

Answer:

h ≈ 9.9 cm

Step-by-step explanation:

By applying tangent rule for the given angle in the given right triangle,

tan(51°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(51°) = $\frac{h}{8}$

h = 8 × tan(51°)

h = 9.879

h ≈ 9.9 cm

Therefore, measure of side 'h' is 9.9 cm.

3 0

2 years ago

Two squares are drawn. the smaller square has an area of 256 square meters. the areas of the two squares have a ratio of 4:9.wha

alisha [4.7K]

<span>A scale factor is the ratio of two similar geometric figures of their corresponding sides. The scale factor is calculated by locating the corresponding sides on each figure. We do as follows:

256/x = 4/9
x = 576 m^2

side length = 24 m

Hope this answers the question. Have a nice day. </span>

3 0

3 years ago

Read 2 more answers