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2 years ago

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In a bowl of fruit there are green grapes and black grapes in the ratio 3:4.If there are 24 green grapes how many black grapes a

re there

2 answers:

xxMikexx [17]2 years ago

5 0

Answer:

If there are 24 green grapes, then there would be 32 black grapes!

Step-by-step explanation:

First, identify what you know.

1) In a bowl of fruit, there are green grapes, and black grapes.

2) The ratio of green grapes to black grapes is 3:4

3) There are 24 green grapes

Simply divide 4 by 3!

4/3 = 1.3

24 x 1.3 = 32

Hope this helps! :)

Elkkkkk2 years ago

0 0

24335246322

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Solve for x in the picture please

Nutka1998 [239]

Answer: $x=1$

Step-by-step explanation:

In order to find the value of "x", it is important to remember that:

$Tangent\ chord\ angle=\frac{1}{2}(Intercepted\ arc)$

We can identify in the figure that:

$Tangent\ chord\ angle=(43x)\°\\\\Intercepted\ arc=AB$

Then:

$43x=\frac{1}{2}AB$

Solving for AB:

$2(43x)=AB\\\\AB=86x$

Now, since there are 360° in a circle, we know that:

$AB+(272x+2)=360$

Then we can substitute $AB=86x$ into $AB+(272x+2)=360\°$ and solve for "x". This is:

$(86x)+(272x+2)=360\\\\358x=360-2\\\\x=\frac{358}{358}\\\\x=1$

8 0

2 years ago

Use the substitution method to solve the following system of equations: 3x + 5y = 3 x + 2y = 0 (1 point) (1, 1) (6, −3) (6, 1) (

PtichkaEL [24]

Step-by-step explanation:

Given.

$3x+5y=3$

$x+2y=0$

Take the second equation and subtract 2y to both sides.

$(x+2y)-2y=0-2y$

$x=-2y$

Substitute x into the first equation and simplify.

$3x+5y=3$

$3(-2y)+5y=3$

$-6y+5y=3$

$-y=3$

Invert.

$y=-3$

Substitute Y into your second equation.

$x+2y=0$

$x+2(-3)=0$

$x-6=0$

Add -6 to both sides.

$(x-6)+6=0+6$

$x=6$

Answer:

(6, -3)

6 0

2 years ago

Brad is having a party and buys a large cube of cheddar cheese at the market. The cube is 4 inches in height. When Brad gets hom

Naddika [18.5K]

Answer:

32 cubic inches

Step-by-step explanation:

4^3= 64

64/2= 32

3 0

2 years ago

A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will

garik1379 [7]

Answer:

$35\%$ represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

The sample size is n = 947

The proportion of the population that believes that the Yankees will miss the playoffs this year is $k = 35\% = 0.35$

From the question we are told the confidence level is 97%

The lower limit of the confidence level is a = 28%

The upper limit of the b = 42%

Generally the sample proportion of this population is mathematically represented as

$\^ p = \frac{a+ b}{2}$

=> $\^ p = \frac{28 + 42 }{2}$

=> $\^ p = 35\%$

Hence $35\%$ represents the sample proportion

8 0

2 years ago

A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.

denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let $\mu$ = <u><em>population mean light bulb life.</em></u>

So, Null Hypothesis, $H_0$ : $\mu \geq$ 500 hours {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, $H_A$ : $\mu$ < 500 hours {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean bulb life = 490 hours

σ = population standard deviation = 50 hours

n = sample of light bulbs = 100

So, <u><em>the test statistics</em></u> = $\frac{490-500}{\frac{50}{\sqrt{100} } }$

= -2

The value of z test statistics is -2.

<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0

2 years ago