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Cloud [144]
3 years ago
12

Kate wants to buy a bike that costs $250. She has $40 saved. She will also do 5 days of yard work earning $38 for each day. Will

Kate have enough money for the bike? I need a answer ASAP!!
Mathematics
2 answers:
Alex Ar [27]3 years ago
4 0
Unfortunately, Katie will be $20 short

She has $40
Plus the $38 x 5 she will be earning which is $190
$190+$40 is $230

Looks like Kate needs one more day of hard work to get her bike ; )
TEA [102]3 years ago
3 0
40 + 5(38) = 40 + 190 = 230....nope, she is short by 20 bucks
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For women aged​ 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of
NNADVOKAT [17]

Answer:

0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 114.8 mm Hg

Standard Deviation, σ = 13.1 mm Hg

Sample size = 23

We are given that the distribution of systolic blood pressures is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{13.1}{\sqrt{23}} = 2.731

P(blood pressure is between 119 and 122 mm Hg)

P(119 \leq x \leq 122) = P(\displaystyle\frac{119 - 114.8}{2.731} \leq z \leq \displaystyle\frac{122-114.8}{2.731}) = P(1.537 \leq z \leq 2.636)\\\\= P(z \leq 2.636) - P(z < 1.537)\\= 0.9958 - 0.9379 = 0.0579= 5.79\%

P(119 \leq x \leq 122) = 5.79\%

0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.

8 0
3 years ago
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IgorC [24]

Answer:

The answer is option 2.

Step-by-step explanation:

Firstly, you must factorize the possible expressions :

\frac{ {x}^{2} - 2x - 15 }{x - 3}  \div  \frac{x - 5}{ {x}^{2} - 9 }

=  \frac{(x - 5)(x + 3)}{x - 3}  \div  \frac{x - 5}{(x - 3)(x  + 3)}

Next you have to divide by converting to multiplication :

= \frac{(x - 5)(x + 3)}{x - 3}  \times  \frac{(x - 3)(x + 3)}{x - 5}

Lastly, you can cut out the similar expressions :

=  \frac{(x - 5)(x + 3)(x - 3)(x + 3)}{(x - 3)(x  -  5)}

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7 0
3 years ago
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Marysya12 [62]

Answer:

x= 54.09

Step-by-step explanation:

cos = adjacent/ hypotenuse

cos75 = 14/x

x = 14/cos75

x = 54.09814627

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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