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2 years ago

8

Joe has 4 less than 7 times as many shirts as Mark. Together, Joe and Mark have 140 shirts. How many shirts does Joe have? How m

any shirts docs Mark have?

1 answer:

lara [203]2 years ago

5 0

Answer:

Mark has 18 shirts

Given that together they have 140 shirts.

x + 7x - 4 = 140

8x = 140 + 4

8x = 144

x = 144/8

x = 18

Joe has 122 shirts

7x - 4

7 × 18 - 4

126 - 4

= 122

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Answer:

Option C is correct.

Step-by-step explanation:

The equation used to represent the slop-intercept form is

y= mx + b

where m is the slope

and b is the y-intercept.

So, in the given question y-intercept = (0,8)

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y = mx + b

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So, Option C is correct.

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3 years ago

Two men p and q set off from a base camp r prospecting for o,p moves 40km on a bearing 205 degree and q moves 30km on a bearing

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Answer:

(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°

= 400+225−600cos145°

= 625+600×0.8192

= 491.52+625

/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41

≊33km ( to the nearest whole number)

(b) By sine rule,

sin<QPR15=sin14533.41

sin<QPR=15sin14533.41

sin<QPR=15×0.573633.41=0.2575

<QPR=14.92°

∴ Bearing of Q from P = 25° + 14.92° = 39.92°.

≊40° (to nearest whole number)

Step-by-step explanation:

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3 years ago

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it would be 2

Step-by-step explanation:

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3 years ago

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4 years ago

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Answer:

There is no sufficient evidence to support the executive claim

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.48$

The sample proportion is $\r p = 0.45$

The sample size is $n = 300$

The level of significance is $\alpha = 0.02$

The null hypothesis is $H_o : p= 0.48$

The alternative hypothesis is $H_a : p \ne 0.48$

Generally the test statistics is mathematically evaluated as

$t = \frac{\r p - p }{ \sqrt{ \frac{p(1 - p )}{n} } }$

=> $t = \frac{0.45 - 0.48 }{ \sqrt{ \frac{0.48 (1 - 0.48 )}{300} } }$

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The p-value is mathematically represented as

$p-value = 2P(z > |-1.04|)$

Form the z-table

$P(z > |-1.04|) = 0.15$

=> $p-value = 2 * 0.15$

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Given that $p-value > \alpha$ we fail to reject the null hypothesis

Hence we can conclude that there is no sufficient evidence to support the executive claim

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3 years ago