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agasfer [191]
2 years ago
14

Each marble bag sold by Josh's Marble Company contains 7 yellow marbles for every 5 red marbles. If a bag has 25 red marbles, ho

w many yellow marbles does
it contain?
Mathematics
1 answer:
elixir [45]2 years ago
8 0
5 red : 7 yellow
25 red: ? Yellow

5 x 5 is 25 therefore the multiplier is 5
We multiply 7 by 5 which is 35

Therefore 24 red : 35 yellow

35 yellow marbles
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Jim spent an hour doing homework. He spent a third of this time on math and a half on an essay. A few breaks took the rest of hi
Citrus2011 [14]

Answer:

If he spent 20 min. on math and on breaks then he'd spend 20 min. on the essay

Step-by-step explanation:

8 0
3 years ago
Find the equivalent exponential expression. [(-4)^5]^3
Sunny_sXe [5.5K]

Answer:

-4^{15}

Step-by-step explanation:

Given expression:

\left[(-4)^5\right]^3

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\implies (-4)^{(5 \times 3)}

\implies (-4)^{15}

\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:

\implies -4^{15}

4 0
1 year ago
(20 POINTS AND BRAINLIEST FOR BEST)
Bingel [31]

Answer:

a.  8.5a + 38

b.  6+h+x

3 0
3 years ago
A researcher wishes to estimate the average blood alcohol concentration​ (BAC) for drivers involved in fatal accidents who are f
Mnenie [13.5K]

Answer:

A 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

Step-by-step explanation:

We are given that a researcher randomly selects records from 60 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 ​g/dL.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~   t_n_-_1

where, \bar X = sample mean BAC = 0.16 g/dL

            s = sample standard deviation = 0.080 ​g/dL

            n = sample of drivers = 60

            \mu = population mean BAC in fatal crashes

<em>Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

So, a 90% confidence interval for the population mean, \mu is;

P(-1.672 < t_5_9 < 1.672) = 0.90  {As the critical value of t at 59 degrees of

                                              freedom are -1.672 & 1.672 with P = 5%}    P(-1.672 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 1.672) = 0.90

P( -1.672 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 1.672 \times {\frac{s}{\sqrt{n} } } ) = 0.90

P( \bar X-1.672 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+1.672 \times {\frac{s}{\sqrt{n} } } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X-1.672 \times {\frac{s}{\sqrt{n} } } , \bar X+1.672 \times {\frac{s}{\sqrt{n} } } ]

                                       = [ 0.16-1.672 \times {\frac{0.08}{\sqrt{60} } } , 0.16+1.672 \times {\frac{0.08}{\sqrt{60} } } ]

                                       = [0.143, 0.177]

Therefore, a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

7 0
3 years ago
Find the total surface area of the net below.
Solnce55 [7]

Total surface area of the triangular prism is  81.6 square m.

Step-by-step explanation:

  • b = 3 m
  • h = 2.6 m
  • p = 3+ 2.6 +2.6=  8.2
  • H = 9 m
  • SA = bh + pH

    = 3 × 2.6 + 8.2 ×9

    = 7.8 + 73.8

    = 81.6

  • Therefore,
  • SA = 81.6 square m
  • Total surface area of the triangular prism is  81.6 square m.
8 0
3 years ago
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